============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 15279 was started by veroff on b146-20, Sat Jul 31 03:56:21 2021 The command was "prover9 -f aK2_eq_aK3_t.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file aK2_eq_aK3_t.in 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). (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). end_of_list. formulas(goals). a(x,K(y,z),u) = a(z,x,K(u,y)) # label("aK2_eq_aK3 (3142)"). 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(x,K(y,z),u) = a(z,x,K(u,y)). (x * (y * x)) * ((1 / x) * z) = x * (y * z). 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. (x * (y * z)) \ ((x * y) * z) = a(x,y,z). (x * y) \ (y * x) = K(y,x). (x * y) \ (x * (y * z)) = L(z,y,x). ((x * y) * z) / (y * z) = R(x,y,z). x \ (y * x) = T(y,x). T(T(x,y),z) = T(T(x,z),y). T(L(x,y,z),u) = L(T(x,u),y,z). T(R(x,y,z),u) = R(T(x,u),y,z). L(R(x,y,z),u,w) = R(L(x,u,w),y,z). R(L(x,y,z),u,w) = L(R(x,u,w),y,z). L(L(x,y,z),u,w) = L(L(x,u,w),y,z). R(R(x,y,z),u,w) = R(R(x,u,w),y,z). x * y != z | x * 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 | y != z | x = z. a(c86,c84,K(c87,c85)) != a(c84,K(c85,c86),c87). 1 \ x = x. x \ (1 * (x * y)) = y. x \ x = 1. x \ (x * (y \ (y * z))) = z. (x * (x \ 1)) * y = y. x * (y * (y \ 1)) = x. x * (y * (y \ (x \ z))) = z. x / x = 1. x / 1 = x. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. (x * y) * ((1 / x) * z) = x * ((y / x) * z). ((1 / x) * x) * y = y. x * ((1 / y) * y) = x. (x / y) \ x = y. x \ (((x * y) / z) * z) = y. (x \ (x * (y / z))) * z = y. ((x * (x \ y)) / z) * z = y. (((x * y) / z) * z) / y = x. (((x / y) / z) * z) * y = x. (x * (y * z)) * a(x,y,z) = (x * y) * z. (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). (x * y) * K(y,x) = y * x. x \ ((y \ x) * y) = K(y \ x,y). ((x \ y) * x) \ y = K(x,x \ y). x \ (y * (x / y)) = K(y,x / y). (x * (y / x)) \ y = K(y / x,x). x \ (1 * (x * y)) = L(y,x,1). (x * 1) \ (x * y) = L(y,1,x). (x * y) \ (x * y) = L(1,y,x). (x * y) * L(z,y,x) = x * (y * z). x \ (y * ((y \ x) * z)) = L(z,y \ x,y). (x * y) \ (x * z) = L(y \ z,y,x). L(x \ y,x,z) = (z * x) \ (z * y). x \ ((x / y) * (y * z)) = L(z,y,x / y). (x * (y / z)) \ (x * y) = L(z,y / z,x). L(x,y / x,z) = (z * (y / x)) \ (z * y). (x * y) / (x * y) = R(1,x,y). ((x * 1) * y) / y = R(x,1,y). (x * y) / (y * 1) = R(x,y,1). (x * y) / ((z \ x) * y) = R(z,z \ x,y). R(x,x \ y,z) = (y * z) / ((x \ y) * z). x / (y * ((z * y) \ x)) = R(z,y,(z * y) \ x). R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). R(x,y,z) * (y * z) = (x * y) * z. (x * y) / (z * y) = R(x / z,z,y). R(x / y,y,z) = (x * z) / (y * z). ((x * (y / z)) * z) / y = R(x,y / z,z). T(x,x) = x. x * T(y,x) = y * x. (x \ y) \ y = T(x,x \ y). T(x,x \ y) = (x \ y) \ y. x \ y = T(y / x,x). T(x / y,y) = y \ x. T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y). T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). x != y | 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. 1 * x != y | x = y. x != x * y | 1 = y. x * y != x | 1 = 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 != x | z = y. x * 1 != y | x = y. x * y != z \ (z * (u * y)) | x = u. x \ (x * (y * z)) != u * z | u = y. x * (y \ z) != z | x = y. x != y * z | x / z = y. x * y != z | z / y = x. x != y / 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. L(x,y,z) != u \ (z * (y * x)) | z * y = u. x \ (y * (z * u)) != L(u,z,y) | y * z = x. R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. ((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 * (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 \ (1 * (x * y)) != z | L(y,x,1) = z. L(x,y,1) = x. x != y | L(x,z,1) = y. L(x,y,1) = z \ (z * x). x \ (x * y) = L(y,1,x). x \ (x * y) != z | y = z. x = L(x,1,y). L(x,1,y) = x. x != L(y,1,z) | x = y. L(x,1,y) != z | z = x. L(x,1,y) != z | x = z. x \ (x * y) != z | z = y. x \ x != y | y = 1. x \ x != y | 1 = y. 1 \ x != y | x = y. (x / y) \ x != z | y = z. x * y != z | x \ (u * (u \ z)) = y. x \ (y * (y \ x)) = 1. x * y != z | x \ (z * 1) = y. 1 \ (x * 1) = x. x * y != z * (u * w) | x \ ((z * u) * L(w,u,z)) = y. x \ ((x * y) * L(z,y,x)) = y * z. (x * (y * z)) / L(z,y,x) = x * y. x * L(y,z \ x,z) = z * ((z \ x) * y). x * L(y,z,x / z) = (x / z) * (z * y). (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). x * (y * z) != (x * y) * u | L(z,y,x) = u. (x * y) * z != x * (y * u) | L(u,y,x) = z. (x * y) \ (x * (y * z)) != u | u = L(z,y,x). (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. x * y != z * ((z \ x) * u) | L(u,z \ x,z) = y. x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. x * (x \ y) != z \ u | z * y = u. x \ y != z * (z \ u) | x * u = y. x * (x \ y) != z | z = y. x * (x \ y) != z | y = z. (x * y) * L(z,y,x) != u | u = x * (y * z). (x * y) * L(z,y,x) != u | x * (y * z) = u. x * T(y,x) != z | z = y * x. x * T(y,x) != z | y * x = z. x * (y * (y \ z)) != u | u = x * z. x * (y * (y \ z)) != u | x * z = u. (x / (y * (y \ z))) * z = x. x != y | z != y | x = z. ((x * y) * z) / a(x,y,z) = x * (y * z). (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). (x * (y * z)) \ ((x * y) * z) != u | u = a(x,y,z). (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. (x * (y * z)) \ ((x * y) * u) = L(L(z,y,x) \ u,L(z,y,x),x * y). L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). x * y != (z / u) * u | z / y = x. x / (y \ ((x / z) * z)) = y. x != (y / z) * z | y = x. x = y * T(x / y,y). x * T(y / x,x) = y. x != y * (y \ z) | z = x. x = (y \ x) * T(y,y \ x). (x \ y) * T(x,x \ y) = y. x * y != z * T(u,z) | (u * z) / y = x. (x * y) / T(y,T(x,y)) = T(x,y). x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). x * y != z * (z \ u) | u / y = x. x / T(y,y \ x) = y \ x. (x * y) / T(x,y) = y. x * y != z * u | (u * T(z,u)) / y = x. (x * T(y,x)) / x = y. x * y != z * u | x \ (u * T(z,u)) = y. x \ (y * T(x,y)) = y. 1 * x != y * 1 | y = x. x = T(x,1). T(x,1) = x. (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. x * (y * T(z,x * y)) = L(z,y,x) * (x * y). x * y != ((x * z) / u) * u | z = y. x = T((y * x) / y,y). T((x * y) / x,x) = y. x * y != z * T(u,z) | x \ (u * z) = y. (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). x * (y * (y \ T(z,x))) = z * x. (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). (x * y) \ (T(x,y) * y) = K(T(x,y),y). (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). (x * y) \ (x * (z * y)) = L(T(z,y),y,x). ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). x * T(T(y,x),z) = T(y,z) * x. x * L(T(y,x),z,u) = L(y,z,u) * x. x * R(T(y,x),z,u) = R(y,z,u) * x. x * y != z | y * u != z | T(x,y) = u. x * y != y * z | T(x,y) = z. x * y != z * x | T(z,x) = y. x * y != y * T(z,y) | x = z. x * T(y,x) != z * x | z = y. x \ (y * x) != z | z = T(y,x). x \ (y * x) != z | T(y,x) = z. (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). (T(x,y) * z) / T(T(x,z),y) = z. x * y != T(z,u) * w | (w * T(T(z,w),u)) / y = x. (x * T(T(y,x),z)) / x = T(y,z). x * T(x \ (y * x),z) = T(y,z) * x. x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. x * T(T(y,x),z) != u * x | T(y,z) = u. (R(x,y,z) * u) / R(T(x,u),y,z) = u. x != (y * x) / z | T(y,x) = z. (x * y) / z != y | T(x,y) = z. x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. T(x \ y,z) = T(T(y / x,z),x). T(T(x / y,z),y) = T(y \ x,z). T(L(x / y,z,u),y) = L(y \ x,z,u). T(R(x / y,z,u),y) = R(y \ x,z,u). T((x * y) / x,x) != z | y = z. x * T(x \ y,z) = T(y / x,z) * x. T(x / y,z) * y = y * T(y \ x,z). (x * T(x \ y,z)) / x = T(y / x,z). T((x * y) / x,z) * x = x * T(y,z). T(x / y,z) * y != y * u | T(y \ x,z) = u. x * y != z | T(z / x,x) = y. T(x / (x / y),x / y) = y. x * y != x | T(1,x) = y. T(1,x) = 1. (x * y) / L(z,y / z,x) = x * (y / z). (x * (y * z)) / L(T(y,z),z,x) = x * z. T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. T(L(x,y,x),y) = T(x,x * y). T(T(x,x * y),z) = L(T(T(x,y),z),y,x). L(T(T(x,y),z),y,x) = T(T(x,x * y),z). R(T(x,x * y),z,u) = L(R(T(x,y),z,u),y,x). L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). x * T(T(y,x),z) != u | T(y,z) * x = u. T(x,y) * (x * z) = x * (z * T(T(x,z),y)). x * (y * T(T(x,y),z)) = T(x,z) * (x * y). x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. T(x,y) \ (x * (T(x,y) * z)) = x * z. x * y = T(x,z) * (x * (T(x,z) \ y)). T(x,y) * (x * (T(x,y) \ z)) = x * z. 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). (x / y) * y != z * u | z \ x = u. x * (x \ y) != z * u | y / u = z. (x / y) * y != z | z = x. x \ (x * y) != z * u | y / u = z. (x / y) * y != z * u | x / u = z. (x * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). (x * y) \ (y * x) != z | K(y,x) = z. K(x,1 / x) = x * (1 / x). x * (1 / x) = K(x,1 / x). a(1 / (x * y),x,y) = ((1 / (x * y)) * x) * y. ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). x * y != (z * u) \ (z * (u * w)) | L(w,u,z) / y = x. L(x,y,1 / y) / (y * x) = 1 / y. x * y != (z * u) \ (z * (u * w)) | x \ L(w,u,z) = y. (1 / x) \ L(y,x,1 / x) = x * y. x != ((1 / y) * y) \ z | x = z. ((1 / x) * x) \ y != z | z = y. ((1 / x) * x) * y != z * u | y / u = z. T(x,y) * K(x,1 / x) = x * (T(x,y) * (1 / x)). L(x \ (y \ ((y * x) * z)),x,y) = z. x * y != z * (u * (u \ (z \ w))) | x \ w = y. (x * y) \ z = L(y \ (x \ z),y,x). L(x \ (y \ z),x,y) = (y * x) \ z. x \ y = T(x,z) * (x \ (T(x,z) \ y)). T(x,y) * (x \ (T(x,y) \ z)) = x \ z. L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). L(x \ T(y,z),x,z) = (z * x) \ (y * z). L((x * y) \ z,u,w) = L(L(y \ (x \ z),u,w),y,x). L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). x * y != L(z,u,w) * v5 | x \ (v5 * L(T(z,v5),u,w)) = y. L(x,y,z) \ (u * L(T(x,u),y,z)) = u. x * L(x \ (y * x),z,u) = L(y,z,u) * x. x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. x * L(x \ y,z,u) = L(y / x,z,u) * x. L(x / y,z,u) * y = y * L(y \ x,z,u). x * T(y,y * x) = L(y,x,y) * x. x * y != L(z,u,z) * u | (u * T(z,z * u)) / y = x. (x * T(y,y * x)) / x = L(y,x,y). (x \ y) * T(x,y) = L(x,x \ y,x) * (x \ y). L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). T(x,y) * T(y,x * y) = L(y,T(x,y),y) * T(x,y). L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). ((x / y) \ x) * z = y * z. x * ((y / (x \ z)) \ y) = z. R(x,y,z) \ ((x * y) * z) = y * z. x != y \ z | z / x = y. x \ y != z | y / z = x. L(x \ y,x,z / y) = ((z / y) * x) \ z. L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. ((x / (y / z)) \ x) \ y = z. R(1 / x,x,y) = y / (x * y). R(x / y,y,x \ z) = z / (y * (x \ z)). R(x / y,y,y \ z) = (x * (y \ z)) / z. R((x / y) / z,z,y) = x / (z * y). R(x / (y / z),y / z,z) = (x * z) / y. 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((x * y) / (z * y),u) = R(T(x / z,u),z,y). T(R(x / y,y,z),u) * (y * z) = (y * z) * T((y * z) \ (x * z),u). R(x / y,y,z) \ (x * z) = y * z. R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). R(1 / x,x,y) \ y = x * y. R(x / y,y,x \ z) \ z = y * (x \ z). R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. R(x,y,y \ z) * z = (x * y) * (y \ z). x * y != (z * u) * w | (R(z,u,w) * (u * w)) / y = x. (R(x,y,z) * (y * z)) / z = x * y. R(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y). x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). R(x,y / z,z) * y = (x * (y / z)) * z. ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. (x * y) * z != R(x,y,u) * (y * u) | z = u. R(x,y,z) * (y * z) != (x * y) * u | u = 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). R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). 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 * 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 * z) * T((y * z) \ u,w) | y * (z * T(z \ (y \ u),w)) = x. x * (y * T(y \ (x \ (z * y)),u)) = T(R(z / x,x,y),u) * (x * y). T(R(x / y,y,z),u) * (y * z) = y * (z * T(z \ (y \ (x * z)),u)). T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. (T(x / y,z) * y) * u = (y * u) * T((y * u) \ (x * u),z). (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. (T(x / y,z) * y) * u = y * (u * T(u \ (y \ (x * u)),z)). x * (y * T(y \ (x \ (z * y)),u)) = (T(z / x,u) * x) * y. x * (y * T(y \ (x \ z),u)) = (T((z / y) / x,u) * x) * y. (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. T(x * T(x \ y,z),x) = x * T(x \ (x \ (y * x)),z). x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). x * (y * T(y \ (x \ z),u)) != w | (x * y) * T((x * y) \ z,u) = w. (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y. (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. (x * y) * T(y,z) = (x * T(x \ (x * y),z)) * y. (x * T(x \ (x * y),z)) * y = (x * y) * T(y,z). (x * T(y,z)) * y = (x * y) * T(y,z). x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). x * y != (z * x) * T(x,u) | T(z * T(x,u),x) = y. T(x * T(y,x * y),y) = x * y. (x * T(y,z)) \ ((x * y) * T(y,z)) = y. (x * (y * x)) / x = y * T(x,y * x). T(x,y) / x = (1 / x) * T(x,y). (1 / x) * T(x,y) = T(x,y) / x. x * y = ((x / T(y,z)) * y) * T(y,z). ((x / T(y,z)) * y) * T(y,z) = x * y. ((x / y) * T(y,z)) * y = x * T(y,z). (x * T(y,z)) * y != u * T(y,z) | x * y = u. (x * y) * x = (y * x) * T(x,y). (x * y) * T(y,x) = (y * x) * y. (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). (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) | T(1 / T(x,z),x) = y. T(1 / T(x,y),x) = x \ (x / T(x,y)). (1 / T(x,y)) \ (x / T(x,y)) = x. (x * T(y,z)) / x = T((x * y) / x,z). T(T(x,y),x) = T(x,y). K(T(x,y),x) = 1. T(x,T(x,y)) = x. x * T(x,y) = T(x,y) * x. T(x,y) * x = x * T(x,y). x * T(y,z) != u * x | T((x * y) / x,z) = u. x != y | z / (y \ z) = x. x / (y \ x) = z / (y \ z). x != y | (y / z) * z = x. (x / y) * y = z / (x \ z). x / (y \ x) = (y / z) * z. x != y | z * (z \ y) = x. x * (x \ y) = z / (y \ z). x / (y \ x) = z * (z \ y). (x / (y \ x)) * z = y * z. x / (y / ((z \ x) \ y)) = z. x != y / z | x \ y = z. x / y != z | z \ x = y. T(x,y) * (x \ z) = (x \ z) * T((x \ z) \ z,y). (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). R(x,x \ y,z) \ (y * z) = (x \ y) * z. R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). x * y != (z \ u) \ u | x \ T(z,z \ u) = y. x \ T(y,y \ z) = x \ ((y \ z) \ z). x / T(y,y \ z) = x / ((y \ z) \ z). x * T(y,y \ z) = x * ((y \ z) \ z). T(x,x \ y) * z = ((x \ y) \ y) * z. x * y != T(z,z \ u) | x \ ((z \ u) \ u) = y. (T(x,x \ y) / z) \ ((x \ y) \ y) = z. T((x \ y) \ y,z) = T(T(x,z),x \ y). T(T(x,y),x \ z) = T((x \ z) \ z,y). (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. x * y != ((z \ u) \ u) * x | T(T(z,z \ u),x) = y. T(T(x,x \ y),z) = T((x \ y) \ y,z). ((x \ y) \ y) * (T(x,x \ y) \ z) = z. x * y != ((z \ u) \ u) * w | x \ (T(z,z \ u) * w) = y. ((x \ y) \ y) \ (T(x,x \ y) * z) = z. x * T(y,y \ z) = ((y \ z) \ z) * T(x,T(y,y \ z)). ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). x * y != T(z,z \ u) * w | x \ (((z \ u) \ u) * w) = y. (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). T(x,y) * (x \ z) = x \ (T(x,y) * z). x \ (T(x,y) * z) = T(x,y) * (x \ z). x * (T(x,y) \ (x \ z)) != u | u = T(x,y) \ z. x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. T(x,y) \ (x * z) = x * (T(x,y) \ z). x * K(y,x / y) = y * (x / y). x \ ((x / (y * z)) * (y * (z * u))) = L(L(u,z,y),y * z,x / (y * z)). L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). (x / y) * y != z / u | x * u = z. x / y != (z / u) * u | z * y = x. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. ((x / y) * y) * z != u | u = x * z. ((x / y) * y) * z != u | x * z = u. (x * y) / y != z | z = x. x / x != y | y = 1. x / x != y | 1 = y. x / (y \ x) != z | z = y. (x * T(y,x)) / x != z | z = y. ((x * y) * z) / (y * z) != u | u = R(x,y,z). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. (R(x,y,z) * (y * z)) / z != u | u = x * y. (R(x,y,z) * (y * z)) / z != u | x * y = u. T(x / y,y) != z | y \ x = z. (x * y) \ (z * y) = R(T(z / x,x * y),x,y). R(T(x / y,y * z),y,z) = (y * z) \ (x * z). T(x / (y * x),z) = R(T(1 / y,z),y,x). T((x * y) / z,u) = R(T(x / (z / y),u),z / y,y). R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). T((x * y) / (z * y),z) = R(z \ x,z,y). T(((x * y) * z) / (x * z),x) = R(y,x,z). x * R(y,x,z) = (((x * y) * z) / (x * z)) * x. (((x * y) * z) / (x * z)) * x = x * R(y,x,z). T(R(x,y,x),y * x) = T(x,y). T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. 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). T(x,y) * (y * x) = (T(x,y * x) * y) * x. (T(x,y * x) * y) * x = T(x,y) * (y * x). 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)). L(x,y \ 1,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x \ 1,x). x * (x \ y) = y * (z * (z \ 1)). x * 1 != y * z | y \ x = z. x * (y * (y \ 1)) != z * u | z \ x = u. x * (x \ y) != z * u | z \ y = u. x \ T(x,y) = T(x,y) * (x \ 1). T(x,y) * (x \ 1) = x \ T(x,y). (x * y) \ R(x,y,y \ 1) = y \ 1. T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ x. (x * y) \ x = L(y \ 1,y,x). L(x \ 1,x,y) = (y * x) \ y. x \ (T(x,y) \ x) = T(x,y) \ 1. (T(x,y) \ x) / (T(x,y) \ 1) = x. x * y != z * (T(z,u) \ 1) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. x * y != z | z = y * T(x,y). x * y != z | y * T(x,y) = z. (x * (x \ y)) * z != u | y * z = u. x * K(y \ x,y) = (y \ x) * y. x / K(y,y \ x) = (y \ x) * y. 1 = K(x,x). K(x,x) = 1. x * y != (z * u) * K(u,z) | (u * z) / y = x. (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. x * y != (z * x) * K(x,z) | y = z. (x * y) * K(y,x) != y * z | z = x. (x * y) \ (y * x) != z | z = K(y,x). (x * y) * z != (y * x) * (K(x,y) * u) | L(u,K(x,y),y * x) = z. (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). T(x,y) / (x * y) = R(1 / y,y,T(x,y)). R(1 / x,x,T(y,x)) = T(y,x) / (y * x). T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). x * (y * z) != (u * z) * T(y,z) | R(u,z,T(y,z)) = x. R(x,y,T(x,y)) = T(((x * y) * x) / (x * y),y). T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). x * y != y * T(z,z * y) | L(z,y,z) = x. L(x,y,x) = T((y * x) / y,x * y). T((x * y) / x,y * x) = L(y,x,y). (x * T(y,z)) / x != u | u = T((x * y) / x,z). (x * T(y,z)) / x != u | T((x * y) / x,z) = u. (x * y) \ y = R(T(1 / x,x * y),x,y). R(T(1 / x,x * y),x,y) = (x * y) \ y. T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). T(x / (y * x),y) = R(y \ 1,y,x). (T(x,y) * z) / (T(x,y) * (x \ z)) = x. T(x,y) * z != x * u | T(x,y) * (x \ z) = u. (x * y) * K(y,x) != z | y * x = z. (x \ 1) * x = K(x \ 1,x). x * y != (z * (z \ 1)) * u | u / y = x. T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). x / ((y \ 1) * x) = R(y,y \ 1,x). R(x,x \ 1,y) = y / ((x \ 1) * y). K(x \ 1,x) / x = x \ 1. x * y != (z * (z \ 1)) * u | x \ u = y. R(x,x \ 1,y) \ y = (x \ 1) * y. x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). x \ L(y,x \ 1,x) = (x \ 1) * y. (x \ 1) \ K(x \ 1,x) = x. x != ((1 / y) * y) \ z | z = x. 1 / x = L(x \ 1,x,1 / x). L(x \ 1,x,1 / x) = 1 / x. x * y != (z * u) \ z | L(u \ 1,u,z) / y = x. L(x \ 1,x,y) / ((y * x) \ y) = 1. L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. (x * y) * L(y \ 1,y,x) = x. x * y != L(z \ 1,z,u) | ((u * z) \ u) / y = x. ((x * y) \ x) / L(y \ 1,y,x) = 1. x / L(y \ 1,y,x) = x * y. L((x \ y) \ 1,x \ y,x) = y \ x. L(x \ 1,x,y / x) = y \ (y / x). T((x * y) \ x,z) = L(T(y \ 1,z),y,x). R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x). L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). L(x,1 / x,y) = (y * (1 / x)) \ y. R(x,y,z) != T(R(u,y,z),w) | T(u,w) = x. T(x,R(x,y,z)) = x. L(x,y,z) != T(L(u,y,z),w) | T(u,w) = x. T(x,L(x,y,z)) = x. x * T(y,x) != z * u | z \ (y * x) = u. x * (y * (y \ z)) != u * w | u \ (x * z) = w. T((x * y) / x,x * y) = L(y,x,(x * y) / x). x \ ((x / y) * z) = L(y \ z,y,x / y). L(x \ y,x,z / x) = z \ ((z / x) * y). x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). x * y != z \ (z * (u * x)) | T(u,x) = y. x \ (x * (y * z)) != z * u | T(y,z) = u. (x \ y) * z != y | T(x,x \ y) = z. x * y = L((x \ 1) \ y,x \ 1,x). L((x \ 1) \ y,x \ 1,x) = x * y. x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). (x * (y \ z)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. (x * y) / x = T((x * y) / x,y). T((x * y) / x,y) = (x * y) / x. (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). (x * (y / z)) * z != u * y | R(x,y / z,z) = u. ((1 / x) * x) \ y != z | y = z. (1 / x) * (y * x) = L(T(y,x),x,1 / x). L(T(x,y),y,1 / y) = (1 / y) * (x * y). x \ (y * (z * (y \ x))) = L(T(z,y \ x),y \ x,y). L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). x \ ((x / y) * (z * y)) = L(T(z,y),y,x / y). L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). ((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z). (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). x * (((y * x) / y) * z) = ((y * x) / y) * (x * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). ((x * y) / x) \ y = y * (((x * y) / x) \ 1). x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. L(x,((y * z) / y) \ z,(y * z) / y) = ((y * z) / y) * (z \ ((((y * z) / y) \ z) * x)). ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). x * T(x \ 1,x) = K(x \ 1,x). (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. T(x * y,z) = L(T((x \ 1) \ y,z),x \ 1,x). L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). ((x / y) * y) * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). R(1 / x,x,y) * z = (y / (x * y)) * z. 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). R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. T(x,y) != T(T(z,y),u) | T(z,u) = x. T(x,T(T(x,y),z)) = x. T(x,y) * T(x,z) = T(x,z) * T(x,y). x * T(x \ (y * x),z) != u | T(y,z) * x = u. T(x,y) * z != T(x,y) / x | T(1 / x,T(x,y)) = z. T(1 / x,T(x,y)) = T(x,y) \ (T(x,y) / x). T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). x * (1 / x) = T(x,1 / x) / x. T(x,1 / x) / x = x * (1 / x). (1 / x) \ (T(x,y) / x) = T(x,y). (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). (1 / (x / y)) * (y \ x) = T(x / y,y) / (x / y). T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). (1 / x) * ((x \ y) \ y) = T(x,x \ y) / x. T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). x \ (x / y) != z | L(y \ 1,y,x / y) = z. L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). (x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y. (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). x / ((y * x) / y) = (1 / ((y * x) / y)) * x. (1 / ((x * y) / x)) * y = y / ((x * y) / x). ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). ((x * y) / x) / y = (1 / y) * ((x * y) / x). (1 / x) * ((y * x) / y) = ((y * x) / y) / x. (x * (y * z)) / (x * y) = L(((x * y) * z) / (x * y),y,x). L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). (x * L(y,z,u)) / x = L((x * y) / x,z,u). (x * L(x \ y,z,u)) / x = L(y / x,z,u). (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). (x * (y * z)) / x = L((x * ((y \ 1) \ z)) / x,y \ 1,y). L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. (x * (y \ (y / z))) / x = L((x * (z \ 1)) / x,z,y / z). L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). x \ (y * (x / y)) != z | K(y,x / y) = z. K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). x != (y * z) \ (z * y) | K(z,y) = x. K(x,y) = L(x \ T(x,y),x,y). L(x \ T(x,y),x,y) = K(x,y). x != y \ (y * z) | z = x. x = L(y \ T(x * y,x),y,x). L(x \ T(y * x,y),x,y) = y. T((x * y) \ (z * x),u) = L(T(y \ T(z,x),u),y,x). L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). T(x,y) * z != x * y | T(y,T(x,y)) = z. T(x,T(y,x)) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,T(x,y)). (x * (T(x,y) \ z)) * u != x * z | T(T(x,y),x * (T(x,y) \ z)) = u. T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). x * y != z * (1 / z) | x \ K(z,1 / z) = y. T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). L(x,y \ T(y,z),y) = y * (T(y,z) \ ((y \ T(y,z)) * x)). x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). x \ (y * T(y \ x,y)) = K(y \ x,y). (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). x \ ((y \ x) * y) != z | z = K(y \ x,y). x \ ((y \ x) * y) != z | K(y \ x,y) = z. (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. x \ (y * z) = L((y \ x) \ z,y \ x,y). L((x \ y) \ z,x \ y,x) = y \ (x * z). x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). T(x \ (y * z),u) = L(T((y \ x) \ z,u),y \ x,y). L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y). L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). (x * (y \ (z * u))) / x = L((x * ((z \ y) \ u)) / x,z \ y,z). L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. 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 * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). x \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z). (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). x * y != ((z / u) * u) * w | (z * w) / y = x. (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. (x * y) / T(y,z) = (x / T(y,z)) * y. ((x / y) * y) * z != u | x \ u = z. T(x / y,z) * y != u | u = y * T(y \ x,z). T(x / y,z) * y != u | y * T(y \ x,z) = u. T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). (x * y) * T((x * y) \ (z * y),u) != w | (x * T(x \ z,u)) * y = w. ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. T(x,x * T(x \ 1,y)) = x. T(x,(x \ 1) * x) = x. x * y != z * (x / z) | K(z,x / z) = y. x * (y / x) != y * z | K(x,y / x) = z. K(x,T(x,y) / x) = x * (T(x,y) \ (T(x,y) / x)). x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). T(T(x / y,z),y) != u | T(y \ x,z) = u. T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. T(x,x \ y) != z | (x \ y) \ y = z. K(1,x) = 1. (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). (x \ y) * z != (x \ y) / (y / x) | T(1 / (y / x),x \ y) = z. T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)). (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). T(x,L(L(x,y,z),u,w)) = x. T((x \ 1) \ y,x * y) = (x \ 1) \ y. x * y != T(z,u) * (z \ 1) | x \ (z \ T(z,u)) = y. ((x \ 1) * T(x,y)) \ (x \ T(x,y)) = K(T(x,y),x \ 1). 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(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). (x * y) * z != R(x,y,T(u,y)) * (u * y) | T(u,y) = z. T(x,y) = R(T(x,x * y),y,T(x,y)). R(T(x,x * y),y,T(x,y)) = T(x,y). x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. 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 * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). x * R(y,z,u) = R((x * y) / x,z,u) * x. R((x * y) / x,z,u) * x = x * R(y,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). (x * y) * R(T(y,x),z,u) = R(R(y,x,y),z,u) * (x * y). R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). x * y != (z * (u * w)) * a(z,u,w) | x \ ((z * u) * w) = y. ((x * y) * a(z,x,y)) \ ((z * x) * y) = R(T(z,(x * y) * a(z,x,y)),x * y,a(z,x,y)). R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). x * y != x / z | L(y \ 1,y,x) = z. x / y != x * z | L(z \ 1,z,x) = y. x / L(y,1 / y,x) = x * (1 / y). T(x \ y,T(x,x \ y)) = T(x,x \ y) \ 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). T(x,y) * (z \ 1) = z \ T(z * (x * (z \ 1)),y). x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = x \ T(x * y,x \ 1). x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). x * y != (z \ 1) * T((z \ 1) \ (z \ u),w) | (z \ T(u,w)) / y = x. (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). T(x \ 1,x \ T(x,y)) = x \ 1. T(x \ T(x,y),x \ 1) = x \ T(x,y). T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. x / (y * x) != z | R(1 / y,y,x) = z. x * y != z * T(y,u) | (x / T(y,u)) * y = z. x * T(y,z) != u * y | (u / T(y,z)) * y = x. (x * y) \ (y * z) = L(T(x,y) \ z,T(x,y),y). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). (x * y) \ x != z | L(y \ 1,y,x) = z. R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y). R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. (x * R(x \ y,z,u)) / x = R(y / x,z,u). T((x * y) / z,z / y) = R((z / y) \ x,z / y,y). R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). (x * R(y,z,u)) / x = R((x * y) / x,z,u). ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). R(x / y,z,u) * y != w | w = y * R(y \ x,z,u). R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. (x * (y / (z * y))) / x = R((x * (1 / z)) / x,z,y). R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. ((x * R(y / z,z,u)) / x) * (z * u) != w | (z * u) * ((x * ((z * u) \ (y * u))) / x) = w. (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. (x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y. (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. (x * ((y / z) / x)) * z = (x * z) * ((x * ((x * z) \ y)) / x). (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. (x * ((y / z) / x)) * z = x * (z * ((x * (z \ (x \ y))) / x)). x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. x * ((y * (((x / z) * z) \ (u * z))) / y) = ((x / z) * ((y * ((x / z) \ u)) / y)) * z. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. x * (x * ((y * (x \ 1)) / y)) = (x * ((y * (x \ 1)) / y)) * x. (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y. T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). x != 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(x * (1 / x),y) = K(x,(x / T(x,y)) / x). K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). K(x,(x / y) / x) != z | y * ((x * (y \ 1)) / x) = z. T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / 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)). 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)). (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). (x / y) * ((y \ x) \ y) = T(y,y \ x). ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). ((x * y) / x) * (y \ x) = T(x,y). (x \ y) * z != T(y,x) | T((y * x) / y,x \ y) = z. T((x * y) / x,y \ x) = (y \ x) \ T(x,y). T(x,y) / (y \ x) = (x * y) / x. ((x * y) / x) \ T(x,y) = y \ x. ((x * (x / y)) / x) * y = T(x,x / y). ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. x * ((y * (x \ y)) / y) = T(y,y / x). x * y != ((z * (z / u)) / z) * u | x \ T(z,z / u) = y. x \ T(y,y / x) = (y * (x \ y)) / y. (x * ((x / y) / x)) * y = T(x,x / (x * y)). x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). x * y != z * ((u * (z \ u)) / u) | x \ T(u,u / z) = y. x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). (x / y) * ((x * y) / x) = T(x,x / (x / y)). T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. x * y != T(z,z / (z * x)) | T(z * ((z / x) / z),x) = y. T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). x != y * ((z * (y \ 1)) / z) | K(z,(z / y) / z) = x. K(x,(x / y) / x) = x \ T(x,x / (x * y)). x \ T(x,x / (x * y)) = K(x,(x / y) / x). T(x * y,x) / y = ((x * y) * x) / (x * y). ((x * y) * x) / (x * y) = T(x * y,x) / y. T(T(x * y,x) / y,x * y) = x. T(T(x * y,x) / y,y) = R(x,y,T(x,y)). x \ T(y * x,y) = R(y,x,T(y,x)). x * R(y,x,T(y,x)) = T(y * x,y). R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. L(R(x,y,T(x,y)),y,x) = x. K(x,1 / x) != y | y = x * (1 / x). K(x,1 / x) != y | x * (1 / x) = y. L(x,y,1 / y) != z | z = (1 / y) * (y * x). L(x,y,1 / y) != z | (1 / y) * (y * x) = z. x * y != z * T(x,u) | T((z / x) * T(x,u),x) = y. T((x / y) * T(y,z),y) = y \ (x * T(y,z)). (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. x / y = ((x / T(y,z)) / y) * T(y,z). ((x / T(y,z)) / y) * T(y,z) = x / y. (x * (y / x)) * x = y * T(x,y / x). T(x,y) * z != (x * y) / x | T(y / x,T(x,y)) = z. T(x / y,T(y,x)) = T(y,x) \ ((y * x) / y). T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). (x / y) \ ((y * x) / y) = T(y,x). x * T(x \ y,y) = ((x \ y) * y) / (x \ y). ((x \ y) * y) / (x \ y) = x * T(x \ y,y). (x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). (x * (1 / y)) * T(L(y,1 / y,x),x) = (L(y,1 / y,x) * x) / L(y,1 / y,x). (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). x != (y * z) * T(L(u,z,y),w) | y * (z * T(u,w)) = x. x * ((1 / y) * T(y,x)) = (L(y,1 / y,x) * x) / L(y,1 / y,x). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). (x * (T(y,x) / y)) \ (x * z) = x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z). x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). x * ((x * (T(y,x) / y)) \ z) = (x * (T(y,x) / y)) \ (x * z). (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). x * y != x * z | z = y. (x \ y) \ (y / x) = (y / x) * ((x \ y) \ 1). (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). (x / y) \ (y \ x) = (y \ x) * ((x / y) \ 1). (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). (x / y) * ((y \ x) * z) != (y \ x) * u | (x / y) * z = u. (x \ y) * z != (y / x) * ((x \ y) * u) | (y / x) * u = z. (x / (x / y)) * (y * z) = ((x / y) \ x) * ((x / (x / y)) * z). ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. L(x,x \ 1,x) = x * K(x \ 1,x). x * K(x \ 1,x) = L(x,x \ 1,x). (1 / x) * y = L(x \ y,x,1 / x). L(x \ y,x,1 / x) = (1 / x) * y. x != y \ (z * (y / z)) | K(z,y / z) = x. K(x,(x * y) / x) = L(y \ ((x * y) / x),y,x). L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = ((x * y) * T((x * y) \ x,u)) * z. ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). (T(x,y) \ x) * y = T(y,R(T(x,y),T(x,y) \ 1,y)). T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). x * y != z * 1 | z / y = x. R(x,1 / y,y) / y = x * (1 / y). T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. 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). (((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). K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). 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. R(x,y,z) * u != w | u * R(T(x,u),y,z) = w. x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). R(x,y,y \ 1) = (x * y) * (y \ 1). (x * y) * (y \ 1) = R(x,y,y \ 1). (x \ y) * z != R(u,x,x \ y) * y | T(u * x,x \ y) = z. T(x * y,y \ 1) = (y \ 1) \ R(x,y,y \ 1). (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). R(x,y,y \ 1) / (y \ 1) = x * y. x * y != R(z,u,u \ w) * w | x \ ((z * u) * (u \ w)) = y. x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). T(1 / x,y) = L(T(x \ 1,y),x,1 / x). L(T(x \ 1,y),x,1 / x) = T(1 / x,y). x \ (y \ x) = R(T(1 / y,x),y,y \ x). R(T(1 / x,y),x,x \ y) = y \ (x \ y). T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). x * T(x \ (y \ x),z) = (T(1 / y,z) * y) * (y \ x). (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). (x * T(x \ (y \ x),z)) / (y \ x) != u | u = y * T(y \ 1,z). (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). x \ (y * (x / y)) != z | z = K(y,x / y). x / (y * z) != u | R((x / z) / y,y,z) = u. x * y != ((1 / z) * z) * u | x \ u = y. (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). x * y != (z * u) * L(u \ 1,u,z) | z / y = x. x / (y * (y \ 1)) = x. x != (x * y) * z | L(y \ 1,y,x) = z. (x * y) * z != x | L(y \ 1,y,x) = z. (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y). T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). T((x * y) \ y,x) = R(T(x \ 1,x * y),x,y). R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). L((x \ 1) \ y,x \ 1,x) != z | x * y = z. L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. (x * y) * L(y,z,u) = (L((x * y) / x,z,u) * x) * y. (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). 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). (x * L(y,z,u)) * y = (x * y) * L(y,z,u). x / L(x,y,z) = (1 / L(x,y,z)) * x. (1 / L(x,y,z)) * x = x / L(x,y,z). (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). x * y != ((1 / z) * z) * u | u / y = x. L(x,y,z) / x = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. x * y != ((z / u) * u) * w | x \ (z * w) = y. ((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 * L(u,w,v5)) * u | x \ ((z * u) * L(u,w,v5)) = y. (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). 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 * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). R(T(x,y),y / x,x) = T(x,y / x). x * y = R(x / (1 / y),1 / y,y). R(x / (1 / y),1 / y,y) = x * y. T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). T(x / y,y / x) = R((y / x) \ 1,y / x,x). R((x / y) \ 1,x / y,y) = T(y / x,x / y). x * R(x \ 1,x,y) = (y / (x * y)) * x. (x / (y * x)) * y = y * R(y \ 1,y,x). R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). x / ((1 / y) * y) = x. (x \ y) * ((y / x) * z) != u | (y / x) * ((x \ y) * z) = u. (1 / x) * ((x \ 1) * x) = x \ 1. x \ ((x * (1 / y)) * y) = a(x,1 / y,y). (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. (1 / x) * K(x \ 1,x) = x \ 1. x != (y / z) \ y | z = x. x = (1 / (1 / x)) * (x * (1 / x)). (1 / (1 / x)) * (x * (1 / x)) = x. (1 / (1 / x)) * K(x,1 / x) = x. (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. L(x,y \ 1,y) != y * z | (y \ 1) * x = z. x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). K(x \ 1,x) != y | (x \ 1) * x = y. K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). 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 * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). ((x * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). x != ((y * (z / u)) / y) * u | u * ((y * (u \ z)) / y) = x. ((x * y) * z) * ((u * (((x * y) * z) \ (y * z))) / u) = (((u * (1 / R(x,y,z))) / u) * R(x,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | (y * ((u * (y \ w)) / u)) * z = x. ((x * y) * ((z * ((x * y) \ y)) / z)) * u = (((z * (1 / R(x,y,u))) / z) * R(x,y,u)) * (y * u). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. x * (y * z) != (u * y) * z | R(u,y,z) = x. R(x * ((y * (x \ 1)) / y),z,u) = R(x,z,u) * ((y * (R(x,z,u) \ 1)) / y). R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. K(x,(x / R(y,z,u)) / x) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). R(x,y,z) * (1 / R(x,y,z)) = R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). (x / y) * 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 / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). (x * T(x \ y,z)) / y = (x / y) * T((x / y) \ 1,z). (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. ((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x). (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). (T(x,y) * z) \ ((x * y) * z) = R(T(y,T(x,y) * z),T(x,y),z). R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(x,y / (x * y)). T(x,x / (x / y)) * y = ((x / y) * y) * ((x * y) / x). ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. (x / T(y,x)) * y = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x / T(y,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. T(x,x / (x / T(y,x))) * T(y,x) = x * y. ((x * y) / x) / (x \ y) = T(x,x / (x / y)). (x / (x / y)) * (y \ 1) = ((x / y) \ x) \ (x / (x / y)). ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). x \ (y / (y / x)) = (y / (y / x)) * (x \ 1). (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). (1 / (x / y)) * (y \ x) != z | (y \ x) / (x / y) = z. (x \ 1) / (1 / x) = x \ (1 / (1 / x)). x != T(y / z,z) | z \ y = x. x \ 1 = L(T(x \ 1,x),x,1 / x). L(T(x \ 1,x),x,1 / x) = x \ 1. (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). (x * (y * z)) / x = R((x * (y / (1 / z))) / x,1 / z,z). R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / 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 * (x / y)) / x) * y != z | T(x,x / y) = z. T(x,x / (1 / y)) = ((x * (x * y)) / x) / y. ((x * (x * y)) / x) / y = T(x,x / (1 / y)). (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. ((x * y) / x) / (x \ y) = T(x,x / (1 / (x \ y))). T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). x != ((y * z) / y) / (y \ z) | T(y,y / (y / z)) = x. T(x,x / (x / y)) = T(x,x / (1 / (x \ y))). T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). T(x,x / (1 / y)) = T(x,x / (x / (x * y))). T(x,x / (x / (x * y))) = T(x,x / (1 / y)). R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). x * y != z * (u * (u \ x)) | T(z,x) = y. T(x / y,x) = L(y \ x,y,x / y). L(x \ y,x,y / x) = T(y / x,y). x != y | y * 1 = x. (x * y) \ ((x \ (x * y)) * x) = K(y,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). x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. K(x \ (x / y),x) = y * T(y \ 1,x). x * y != z \ (u * T(u \ z,u)) | x \ K(u \ z,u) = y. x \ K(y \ (y / x),y) = T(x \ 1,y). x != (y \ 1) * T((y \ 1) \ 1,z) | y \ T(y,z) = x. x \ T(x,y) = K(y \ (y / (x \ 1)),y). K(x \ (x / (y \ 1)),x) = y \ T(y,x). x * y != z * T(z \ 1,u) | K(u \ (u / z),u) / y = x. K(x \ (x / y),x) / y = T(1 / y,x). K((x * y) \ x,x * y) = y * T(y \ 1,x * y). x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). K((x * y) \ x,x * y) / y = T(1 / y,x * y). x = ((y / z) \ y) * (z \ x). ((x / y) \ x) * (y \ z) = z. x * (((y / x) \ y) \ z) = z. ((x / y) \ x) * z != u | y \ u = z. ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. T(x,(y * z) \ y) = L(z \ 1,z,y) \ (x * ((y * z) \ y)). L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). (1 / T(x,y)) * x != z | z = x / T(x,y). (1 / T(x,y)) * x != z | x / T(x,y) = z. (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. L(x / y,z,u) * y != w | w = y * L(y \ x,z,u). L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. (x * ((y * x) \ y)) / x = L(1 / x,x,y). ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). (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 * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. 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). x \ R(x,y,z) = R(x,y,z) * (x \ 1). R(x,y,z) * (x \ 1) = x \ R(x,y,z). R(x,y,z) * u = x * (R(x,y,z) * (x \ u)). x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. x * y != z * (u * (u \ w)) | x \ (z * w) = y. R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). R(x,y,z) \ x = x * (R(x,y,z) \ 1). x * (R(x,y,z) \ 1) = R(x,y,z) \ x. x * y != z * (u * (u \ w)) | (z * w) / y = x. (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. R(x,y,z) * (u * x) = x * (R(x,y,z) * T(u,x)). x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). x * y != R(z,u,x) * (u * x) | T(z * u,x) = y. T(x * y,x) = R(x,y,x) * (x \ (y * x)). R(x,y,x) * (x \ (y * x)) = T(x * y,x). x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)). R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). R(x,y,x) * T(y,x) = T(x * y,x). R(x,y,x) \ T(x * y,x) = T(y,x). ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). x != y * (z * (z \ u)) | y * u = x. (x \ 1) * y = K(x \ 1,x) * L(x \ y,x,x \ 1). K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. (x \ 1) * y != K(x \ 1,x) * z | L(x \ y,x,x \ 1) = z. K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. x * (x * y) = T(x,x / (x / T(y,x))) * (y * x). T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). (x * (x * y)) / (y * x) = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). T(x,x / (x / T(y,x))) != z | (x / T(y,x)) * y = z. (x / T(y,x)) * y = (x * (x * y)) / (y * x). (x * (x * y)) / (y * x) = (x / T(y,x)) * y. R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. R(1 / x,x,x \ 1) = x \ 1. (x * y) / (z * y) != u | R(x / z,z,y) = u. R(x / y,y,y \ 1) = x * (y \ 1). x != y / (z * (z \ 1)) | x = y. x / (y * (y \ 1)) != z | z = x. T((x * y) * (x \ 1),x) = R(y,x,x \ 1). T(x \ 1,x) = R(x \ 1,x,x \ 1). R(x \ 1,x,x \ 1) = T(x \ 1,x). R((x * y) / x,z,u) != w | (x * R(y,z,u)) / x = w. (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1). R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). T(x * (y \ 1),y) = R(y \ x,y,y \ 1). R(x \ y,x,x \ 1) = T(y * (x \ 1),x). R(R(x / y,z,u),y,y \ 1) = (y * R(y \ x,z,u)) * (y \ 1). (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). (x * (y * (z \ 1))) / x = R((x * (y / z)) / x,z,z \ 1). R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / 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)). (x * (y * T(y \ 1,x))) * (x \ 1) = x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)). x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). x \ (x * (y * T(y \ 1,x))) = (x * (y * T(y \ 1,x))) * (x \ 1). (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). x * T(x \ 1,y) = (y * (x * T(x \ 1,y))) * (y \ 1). (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). x * y != z \ (z * u) | x \ u = y. (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. (x * (y \ T(y,x))) * (x \ 1) = (y \ 1) * T((y \ 1) \ 1,x). (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. x \ T(x,y) = (y * (x \ T(x,y))) * (y \ 1). (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). x * y != z * (x * T(x \ (z \ u),w)) | T(z * T(z \ (u / x),w),x) = y. T(x * T(x \ (y / z),u),z) = z \ (x * (z * T(z \ (x \ y),u))). x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),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 \ 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) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. x * (y \ T(y * (x \ z),x)) = ((x \ (z / (y \ 1))) * x) * (y \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). (x * y) * ((z * ((x * y) \ y)) / z) != u | (x * ((z * (x \ 1)) / z)) * y = u. (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * z) * ((y * ((x * z) \ z)) / y)). x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). L(x,y,z) * (x * u) = x * (u * L(T(x,u),y,z)). x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). x \ L(x,y,z) = L(x,y,z) * (x \ 1). L(x,y,z) * (x \ 1) = x \ L(x,y,z). L(x,y,z) * u = x * (L(x,y,z) * (x \ u)). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). L(x,y,z) \ x = x * (L(x,y,z) \ 1). x * (L(x,y,z) \ 1) = L(x,y,z) \ x. x \ y = L(x,z,u) * (x \ (L(x,z,u) \ y)). L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. x * y != L(z,u,w) * (z * v5) | x \ (z * (L(z,u,w) * v5)) = y. ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. x * (y * T(y \ 1,x)) = ((x \ (x / y)) * x) * y. ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). 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 / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). x != y \ (z * y) | T(z,y) = x. T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). x * K(y \ (y / T(z,x)),y) = (z * T(z \ 1,y)) * x. (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). x != K(y \ (y / z),y) | 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 != T(z,x) | z * x = y. (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). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. (x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y. (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). x * y = ((x / R(y,z,u)) * y) * R(y,z,u). ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. x / R(x,y,z) = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = x / R(x,y,z). (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. (x * R(y,z,u)) / y = (x / y) * R(y,z,u). R(x,y,z) / x = (1 / x) * R(x,y,z). (1 / x) * R(x,y,z) = R(x,y,z) / x. R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. (x * y) / R(y,z,u) = (x / R(y,z,u)) * y. (1 / x) * y != R(z,1 / x,x) / x | T(z,1 / x) = y. T(x,1 / x) = R(x,1 / x,x). R(x,1 / x,x) = T(x,1 / x). R(x,y,z) * u != R(x,y,z) / x | T(1 / x,R(x,y,z)) = u. T(1 / x,R(x,y,z)) = R(x,y,z) \ (R(x,y,z) / x). R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). (R(x,y,z) / x) / R(x,y,z) = 1 / x. R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). (x * R(y,z,u)) * T(y,w) = (x * T(x \ (x * y),w)) * R(y,z,u). (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). T(x,y) = R(T(x,y * R(x,z,u)),y,R(x,z,u)). R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). (x * R(y,z,u)) * T(y,x) = R(y,x,R(y,z,u)) * (x * R(y,z,u)). R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). (1 / x) * T((1 / x) \ y,z) = T(R(y / (1 / x),1 / x,x),z) / x. T(R(x / (1 / y),1 / y,y),z) / y = (1 / y) * T((1 / y) \ x,z). T(x * y,z) / y = (1 / y) * T((1 / y) \ x,z). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. (1 / x) * T(y,z) = T(((1 / x) * y) * x,z) / x. T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). x * (T((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). K(x \ (x / (1 / y)),x) = T(y,x) / y. x * T(x \ y,z) != u | T(y / x,z) * x = u. T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. x * y != (1 / z) * T((1 / z) \ 1,u) | (T(z,u) / z) / y = x. (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). T(1 / x,T(x,y) / x) = 1 / x. K(x \ (x / (1 / y)),x) * y = T(y,x). K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). x * (1 / T(x,y)) = T(x,1 / T(x,y)) / T(x,y). T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). K(x,1) = 1. x != T(y,1) | x = y. T(x,1) != y | y = x. x * y != z * (u * (u \ 1)) | z / y = x. L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). x * (y * (y \ 1)) != z | x = z. x * T(x \ y,z) = T(R(y / x,x,x \ 1),z) / (x \ 1). T(R(x / y,y,y \ 1),z) / (y \ 1) = y * T(y \ x,z). T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). T(x,y) / (z \ 1) = z * T(z \ (x / (z \ 1)),y). x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). T(x \ T(y,y / x),y) = x \ y. T((x \ y) \ T(y,x),y) = (x \ y) \ y. x != (y \ z) \ z | T(y,y \ z) = x. T(x,x \ y) = T((x \ y) \ T(y,x),y). T((x \ y) \ T(y,x),y) = T(x,x \ y). L(1 / x,x,y) * x = x * ((y * x) \ y). (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 * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. 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) * T(x,y)) / (x \ y) = L(x,x \ y,x). L(L(x,y,x),z,u) * y = y * L(T(x,x * y),z,u). x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. T(x,y \ y) = x. K(x,(y * x) / y) = 1. T(x,R(T(x,y),z,u)) = x. (x / y) * y != z | x = z. x * y != z \ (u * (u \ z)) | x \ 1 = y. x \ 1 = L(x,y,z) \ (x \ L(x,y,z)). L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. (x * (x \ 1)) * y != z * u | z \ y = u. K(x,T(T(x,y),z)) = 1. R(x,x \ 1,x) = T(x,x \ 1). T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). T(x,(y * x) / y) = 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 * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). x != T(y,R(T(z,y),T(z,y) \ 1,y)) | (T(z,y) \ z) * y = x. (T(x,y) \ x) * y = (y * (((T(x,y) \ x) * y) \ y)) \ (y * y). (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. x * y != L(R((z \ u) \ w,v5,v6),z \ u,z) | x \ R(u \ (z * w),v5,v6) = y. x \ R(1 \ (x * y),z,u) = (x \ 1) * R((x \ 1) \ y,z,u). (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)). x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). (x \ 1) * R(T(y,x \ 1),z,u) = x \ R(x * (y * (x \ 1)),z,u). x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. (x / y) * ((z / y) \ z) = x. ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. T(x / y,(z / y) \ z) = y \ x. x != y * ((z / u) \ z) | x / u = y. x * ((y / z) \ y) != u | u / z = x. (x / T(y,y \ z)) * ((y \ z) \ z) = x. x = T(y / (y / x),(z / (y / x)) \ z). T(x / (x / y),(z / (x / y)) \ z) = y. (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). x * T(y,z) = (x * y) * K(z \ (z / ((x * y) \ x)),z). (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). L(K(x \ 1,x),y,z) = K(x \ (x / L(x,y,z)),x). K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (x \ 1) * ((y * (x \ 1)) \ z) = x \ L(x * (y \ z),x \ 1,y). x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,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),x) = x * R(x \ 1,y,z). (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. T(x,x * R(x \ 1,y,z)) = x. (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). (x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z). T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. (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 * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. (x * y) * R((x * y) \ y,z,u) != w | (x * R(x \ 1,z,u)) * y = w. (x * R(x \ 1,y,z)) * u = x * (u * R(u \ (x \ u),y,z)). x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. (x * y) * R((x * y) \ (z * y),u,w) != v5 | (x * R(x \ z,u,w)) * y = v5. (x * R(x \ y,z,u)) * w = x * (w * R(w \ (x \ (y * w)),z,u)). x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. x * y != (z * x) * R((z * x) \ (u * x),w,v5) | T(z * R(z \ u,w,v5),x) = y. T(x * R(x \ y,z,u),x) = x * R(x \ (x \ (y * x)),z,u). x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). x != y * (z * R(z \ (y \ (u * z)),w,v5)) | (y * R(y \ u,w,v5)) * z = x. ((x \ 1) * R((x \ 1) \ y,z,u)) * x = K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u). K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. T((x \ y) \ 1,y \ x) = (x \ y) \ 1. L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. x != L(1 / y,y,z) * y | y * ((z * y) \ z) = x. x * ((y * x) \ y) = L(x \ 1,x,y) / (x \ 1). L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. K(x \ 1,x * ((y * x) \ y)) = L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))). L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). L(x,y,z) \ (x * u) != w | x * (L(x,y,z) \ u) = w. (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). (x \ 1) * T(x,(y * x) \ y) = K(x \ 1,x * ((y * x) \ y)). 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). R((x * y) \ (y * z),u,w) = L(R(T(x,y) \ z,u,w),T(x,y),y). L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). L((x * y) \ (y * z),u,w) = L(L(T(x,y) \ z,u,w),T(x,y),y). L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). (x * y) * L((x * y) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). L(x / y,z,u) * y != w | L(x * (y \ 1),z,u) / (y \ 1) = w. L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). T(L(x,y,x),z) = T(T((y * x) / y,z),x * y). T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),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. T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) != z | L(1 / x,T(x,y),1 / x) = z. L(1 / x,T(x,y),1 / x) = (T(x,y) * (1 / x)) / T(x,y). (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). L(x \ 1,T(x,y),1 / x) = (T(x,y) * (x \ 1)) / T(x,y). (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). (x \ T(x,y)) / T(x,y) = L(x \ 1,T(x,y),1 / x). L(x \ 1,T(x,y),1 / x) = (x \ T(x,y)) / T(x,y). T(x,y) / z = (x / z) * K(y \ (y / ((x / z) \ (1 / z))),y). (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). (x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y). (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. x != 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 * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). 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). (x * L(x \ y,z,u)) * w = (x * w) * L((x * w) \ (y * w),z,u). (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. (x * L(x \ 1,y,z)) * u = (x * u) * L((x * u) \ u,y,z). (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. x * y != (z * x) * L((z * x) \ x,u,w) | T(z * L(z \ 1,u,w),x) = y. T(x * L(x \ 1,y,z),u) = T(x,u) * L(T(x,u) \ 1,y,z). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. T(x,y) * ((z * T(x,y)) \ z) = T(x * L(x \ 1,T(x,y),z),y). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x * L(x \ y,z,u),y) = T(x,y) * L(T(x,y) \ y,z,u). T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. 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)). 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 * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). (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)). K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). x != y * (z * L(z \ (y \ (u * z)),w,v5)) | (y * L(y \ u,w,v5)) * z = x. ((x \ 1) * L((x \ 1) \ y,z,u)) * x = K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u). K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. T((1 / x) * y,z) = L(T(x \ y,z),x,1 / x). L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,1 / x). L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). (x * ((1 / y) * z)) / x = L((x * (y \ z)) / x,y,1 / y). L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). x != R(1 / y,y,z) | z / (y * z) = x. x / (y * x) = (1 / y) * ((x / (y * x)) * y). (1 / x) * ((y / (x * y)) * x) = y / (x * y). ((x / (y * x)) * y) * z != x / (y * x) | T(1 / y,(x / (y * x)) * y) = z. T(1 / x,(y / (x * y)) * x) = ((y / (x * y)) * x) \ (y / (x * y)). ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. T(x,y) * (x * y) = (T(x,x * y) * y) * T(x,y). (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). T(x,y) * z != T(x,y) * (x * y) | T(T(x,x * y) * y,T(x,y)) = z. T(T(x,x * y) * y,T(x,y)) = x * y. R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. x != (y / z) * T((y / z) \ 1,u) | (y * T(y \ z,u)) / z = x. (x * T(x \ y,z * (x / y))) / y = K((z * (x / y)) \ z,z * (x / y)). K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). L(x,1 / x,x) = K(x,1 / x) \ x. K(x,1 / x) \ x = L(x,1 / x,x). K(x,1 / x) * L(x,1 / x,x) = x. T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. ((x \ y) \ y) / x = (1 / x) * ((x \ y) \ y). (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. (x / y) * ((y \ x) \ 1) != z | (y \ x) \ (x / y) = z. (x \ 1) \ (1 / x) = ((x \ 1) \ 1) / x. ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). 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. (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. ((x * (y / z)) / x) * z != u | u = z * ((x * (z \ y)) / x). (x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u. T(x,x * L(x \ 1,y,z)) = x. (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). (x * (y * (1 / y))) * y = (x * y) * (y * L(y \ 1,y,1 / y)). (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. x * y != z * u | x \ ((w / (z \ w)) * u) = y. x \ ((y / (x \ y)) * z) = z. T(T(x,x / y) / y,(x / y) * y) = x / y. T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. T(x * y,z) = T(T(T(x,x * y) * y,z),R(x,y,y \ 1)). T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). T(x,R(x / y,y,y \ 1)) = T((x / y) * y,T(x / y,y)). T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). T(x,T(x / y,y)) = T(x,x * (y \ 1)). T(x,y \ x) = T(x,x * (y \ 1)). T(x,x * (y \ 1)) = T(x,y \ x). T(x,x * y) = T(x,(1 / y) \ x). T(x,(1 / y) \ x) = T(x,x * y). K(x,x * L(x \ 1,y,z)) = 1. T(x,x * ((y * x) \ y)) = x. T(x \ y,(x \ y) * (y \ x)) = x \ y. K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ 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). (x * y) * (y * (1 / y)) = (x * (y * (1 / y))) * y. (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). x != ((y * z) * u) / (z * u) | R(y,z,u) = x. R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). (R(x,y,z) \ 1) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). 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) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). (1 / (x \ y)) \ (y \ x) = L((x \ y) \ 1,x \ y,x) * (x \ y). L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). (x \ y) * (y \ x) = (1 / (y \ x)) \ (x \ y). (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). x = (1 / ((y * x) \ y)) * ((y \ (y * x)) * ((y * x) \ y)). (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. T(1 / (x \ y),(y \ x) * (x \ y)) != z | 1 / (x \ y) = z. 1 / (x \ y) = ((y \ x) * (x \ y)) \ (y \ x). ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. L(x \ 1,x,(y * x) \ y) = 1 / x. ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). K(x,(y * x) \ y) * x = T(x,(y * x) \ y). x * y != T(x,(z * x) \ z) | T(K(x,(z * x) \ z),x) = y. T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). T(x,(y * x) \ y) / x = K(x,(y * x) \ y). L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). (L(x \ 1,x,y) * x) * (1 / x) = (y * x) \ y. (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). (x / y) * R((x / y) \ 1,x / y,y) != z | (y / x) * (x / y) = z. x * y != R(1 / (z / u),z / u,u) | x \ (u / z) = y. (1 / (x / y)) \ (y / x) = (x / y) * R((x / y) \ 1,x / y,y). (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). (x / y) * (y / x) = (1 / (y / x)) \ (x / y). (1 / (x / y)) \ (y / x) = (y / x) * (x / y). (1 / ((x \ y) / y)) \ x = (y / (x \ y)) * ((x \ y) / y). (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. (x / (y \ x)) * z != u | y * z = u. x * ((x \ y) / y) = (1 / ((x \ y) / y)) \ x. (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. (x * ((x \ y) / y)) * z != x | T(1 / ((x \ y) / y),x * ((x \ y) / y)) = z. T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). (L(x,y,z) / x) / L(x,y,z) = 1 / x. (1 / x) \ (L(x,y,z) / x) = L(x,y,z). L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). L(x,y,z) * (1 / x) = T(L(x,y,z),1 / x) / x. T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). x * y != R(1 / z,z,z \ u) | ((z \ u) / u) / y = x. ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). x * L(x \ (y * z),u,w) = y * ((y \ x) * L((y \ x) \ z,u,w)). x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u). (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). (x \ y) * (1 / (x \ y)) = x \ (y * L(y \ x,x \ y,y \ x)). x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). (x * y) / y = R(x,1,y). R(x,1,y) = x. L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). x != (1 / y) * R(y,z,u) | R(y,z,u) / y = x. R(x,y,z) / x = R(1 / (1 / x),y,z) * (1 / x). R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. (x \ 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). L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. (x * y) * L((x \ y) / y,y,x) = T(y,y / (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). 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)). T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). L(x,y,L(x,z,u)) * y = y * T(x,L(x,z,u) * y). x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. x * y != L(z,u,w) * x | L(T(z,x),u,w) = y. L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). x \ R(x,1 / y,y) = a(x,1 / y,y). x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. T(T(x,1 / x),y) = R(T(x,y),1 / x,x). R(T(x,y),1 / x,x) = T(T(x,1 / x),y). R(T(x,1 / x),y,z) = R(R(x,y,z),1 / x,x). R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. x * y != R(z,u,w) * (z \ 1) | (z \ R(z,u,w)) / y = x. (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1). R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y. (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. x * y != R(z,u,w) * x | R(T(z,x),u,w) = y. R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. T(x,(y / (x * y)) * x) = x. T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). T(x \ 1,x \ R(x,y,z)) = x \ 1. (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). x * ((x * ((y * (x \ 1)) / y)) * z) = (x * ((y * (x \ 1)) / y)) * (x * z). (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). 1 = R(1,x,y). R(1,x,y) = 1. R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x). (x \ T(y,x)) * x = T(x * T(x \ y,x),x). T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). T((x \ y) * x,x) = (x \ T(y,x)) * x. (x \ T(y,x)) * x = T((x \ y) * x,x). (x \ T(x * (y / z),z)) * z != u | (x \ 1) * ((z \ ((x \ 1) \ y)) * z) = u. (x \ 1) * ((x \ ((x \ 1) \ y)) * x) = T((x \ (x * (y / x))) * x,x). T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). x * y != (z \ T(u,z)) * z | x \ T((z \ u) * z,z) = y. T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). x * (T((x \ y) * x,x) / x) = T(y,x). T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). (x \ 1) * ((x \ ((x \ 1) \ y)) * x) = T(y,x). x * y != (z \ 1) * ((z \ ((z \ 1) \ u)) * z) | T(u,z) / y = x. T(x,y) / y = y \ T(y * (x / y),y). x \ T(x * (y / x),x) = T(y,x) / x. (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). x * (T(y,x) / x) = T(x * (y / x),x). T(x,y) \ T(T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). x * (T(y * x,x) / x) = T(x * y,x). x * ((x * R(x \ 1,y,z)) / x) = T(x * ((x * R(x \ 1,y,z)) / x),x). T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). T(x * (y / (x * y)),x) = x * R(1 / x,x,y). T(x * (y / (x * y)),x) = x * (y / (x * y)). T(x,x * (y / (x * y))) = x. T(x,x * ((x \ y) / y)) = x. T(x / y,(x / y) * (y / x)) = x / y. T(x / y,y) = T(y \ x,(x / y) * (y / x)). T(x \ y,(y / x) * (x / y)) = T(y / x,x). x \ y = T(x \ y,(y / x) * (x / y)). T(x \ y,(y / x) * (x / y)) = x \ y. K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. x != y / 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. T(x,x \ y) = T((x \ y) \ y,x * ((x \ z) / z)). T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. 1 = K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)). K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. 1 / ((x \ y) / y) = T(1 / ((x \ y) / y),x * ((x \ y) / y)). T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). T(1 / ((x \ y) / y),x * ((x \ y) / y)) != z | (x * ((x \ y) / y)) \ x = z. (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). ((x / y) * (y / x)) * (1 / (y / x)) = x / y. K(1 / (x / y),(y / x) * (x / y)) = 1. x * y != (z * u) / u | z / y = x. x / (1 / (y / (x * y))) = ((x * y) / y) * (y / (x * y)). ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). 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). K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. K(1 / x,(y / (x * y)) * x) = 1. T(1 / x,(y / (x * y)) * x) = 1 / x. L(x \ 1,x,y / (x * y)) = 1 / x. L(x \ 1,x,(x \ y) / y) = 1 / x. L(x \ 1,x,R(1 / x,x,y)) = 1 / x. ((x / (y * x)) * y) * (1 / y) = x / (y * x). L(x \ 1,x,x \ 1) = 1 / x. R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. T(1 / (1 / x),R(1 / x,x,y)) = x. T(1 / (1 / x),y / (x * y)) = x. T(1 / (1 / (x / y)),y / x) = x / y. T(1 / (1 / x),x \ 1) = x. T(1 / (1 / (1 / x)),x) = 1 / x. T(x,y) = T(T(1 / (1 / x),y),x \ 1). T(T(1 / (1 / x),y),x \ 1) = T(x,y). (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). T(x,y) != T(z,x \ 1) | T(1 / (1 / x),y) = z. T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. T(x,x \ 1) = T(x,R(1 / x,x,y)). T(x,R(1 / x,x,y)) = T(x,x \ 1). T(x,x \ 1) = T(x,y / (x * y)). T(x,y / (x * y)) = T(x,x \ 1). x != T(y,y \ z) | (y \ z) \ z = x. (x \ 1) \ 1 = T(x,y / (x * y)). T(x,y / (x * y)) = (x \ 1) \ 1. T(x,1 / x) = T(x,x \ 1). T(x,(x \ y) / y) = T(x,x \ 1). K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. T(1 / x,y) = L(T(x \ 1,y),x,x \ 1). L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). L(1 / x,y,z) = L(L(x \ 1,y,z),x,x \ 1). L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). (x \ 1) / (1 / x) = (x \ 1) * x. x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. (x * (1 / x)) * (x \ y) = y * L(y \ (x \ y),x,x \ 1). x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). x != (y \ 1) * y | K(y \ 1,y) = x. K(x \ 1,x) = (x \ 1) / (1 / x). (x \ 1) / (1 / x) = K(x \ 1,x). K(x \ 1,x) * (1 / x) = x \ 1. (x \ 1) / (1 / x) != y | x \ (1 / (1 / x)) = y. x \ (1 / (1 / x)) = K(x \ 1,x). K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). x * K(x \ 1,x) = 1 / (1 / x). L(K(x \ 1,x),x,y) = (y * x) \ (y * (1 / (1 / x))). x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. L(x,x \ 1,x) = 1 / (1 / x). K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. T(1 / x,K(x \ 1,x)) = 1 / x. (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. (x \ 1) * L(y,1 / x,K(x \ 1,x)) != K(x \ 1,x) * z | (1 / x) * y = z. K(x \ 1,x) * y != (x \ 1) * L(z,1 / x,K(x \ 1,x)) | (1 / x) * z = y. R(1 / (1 / x),y,z) = L(R(x,y,z),x \ 1,x). L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). 1 / (1 / x) != y | x * K(x \ 1,x) = y. K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). L(x * y,z,u) / y = (1 / y) * L((1 / y) \ x,z,u). (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. T(1 / x,L(x,y,z) / x) = 1 / x. K(L(x,y,z),1 / x) = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). ((x / y) * y) * z != u * w | (x * z) / w = u. R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. T(((x * y) / x) * z,z \ x) = (z \ x) \ (x * R(y,z,z \ x)). (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. x * ((y * (x \ 1)) / y) = (y * ((x \ y) / y)) / (x \ y). (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). T(x \ 1,y) = T(T(x \ 1,y),x \ R(x,z,u)). T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). 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(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) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). x * y != (z / u) * (u * L(u \ ((z / u) \ w),v5,v6)) | (z * L(z \ w,v5,v6)) / y = x. (x * L(x \ y,z,u)) / y = (x / y) * L((x / y) \ 1,z,u). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x * L(x \ 1,y,z),u,w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). (x * (1 / y)) / x = T((x * (1 / y)) / x,L(y,z,u) / y). T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) != u | L(1 / x,L(x,y,z),1 / x) = u. L(1 / x,L(x,y,z),1 / x) = (L(x,y,z) * (1 / x)) / L(x,y,z). (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). L(1 / x,L(x,y,z),1 / x) * x = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. x * L(x \ 1,L(x,y,z),1 / x) = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) != u | K(L(x,y,z),1 / x) = u. K(L(x,y,z),1 / x) = x * L(x \ 1,L(x,y,z),1 / x). x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). L(x * L(x \ 1,y,z),u,w) = L(x,u,w) * L(L(x,u,w) \ 1,y,z). L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(K(L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1). L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). T(x \ 1,x \ L(x,y,z)) = x \ 1. R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. x != R(y / z,u,w) * z | z * R(z \ y,u,w) = x. x * R(x \ y,z,u) = (R(1 / (x / y),z,u) * (x / y)) * y. (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). (x * R(x \ y,z,u)) / y = (x / y) * R((x / y) \ 1,z,u). (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x * R(x \ 1,y,z),u,w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) != u | ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = u. ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * R(x \ 1,R(x,y,z),x \ 1),y,z). R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). x * R(y,z,u) != R(y * T(y \ 1,R(y,z,u)),z,u) | R(y,z,u) \ 1 = x. R(x,y,z) \ 1 = (x \ 1) / (x \ R(x,y,z)). (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). x * ((y * z) * R((y * z) \ y,u,w)) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). L(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) != u | ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = u. ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * R(x \ 1,L(x,y,z),x \ 1),y,z). L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). L(x * T(x \ 1,L(x,y,z)),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). x != L(y * T(y \ 1,L(y,z,u)),z,u) | K(L(y,z,u) \ 1,L(y,z,u)) = x. K(L(x,y,z) \ 1,L(x,y,z)) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). x * y != K(y \ 1,y) | y \ 1 = x. L(x,y,z) \ 1 = (x \ 1) / (x \ L(x,y,z)). (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. (x * (y / (y / z))) * z = (x * ((y / z) \ y)) * (y / (y / z)). (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). (x * (x \ y)) \ z != u | y \ z = u. L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. (x \ 1) \ 1 = T(x,1 / x). T(x,1 / x) = (x \ 1) \ 1. T(x,1 / x) != y | R(x,1 / x,x) = y. R(x,1 / x,x) = T(x,x \ 1). L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). T(x \ 1,x) = ((x \ 1) \ 1) \ 1. L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). 1 = L(1,x,y). L(1,x,y) = 1. L(1,x,y) != z | K((u * L(u \ 1,x,y)) \ u,u * L(u \ 1,x,y)) = z. K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. (x * y) / y = R(x,y,1). R(x,y,1) = x. T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 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). R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). 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 != y * 1 | y = x. 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 * (y * L(y \ 1,z,u)) != y | L(1 / y,z,u) \ 1 = x. L(1 / x,y,z) \ 1 = (x * L(x \ 1,y,z)) \ x. (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. (L(x,y,z) / x) \ (1 / x) = L(1 / (1 / x),y,z) \ 1. L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). ((x / y) * y) * z != u * w | u \ (x * z) = w. (x * y) / y != z * u | z \ x = u. T(x,y) * z != T(x,y) / T(x,u) | T(1 / T(x,u),T(x,y)) = z. T(1 / T(x,y),T(x,z)) = T(x,z) \ (T(x,z) / T(x,y)). T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). (x \ 1) * (y * x) = T((x \ 1) * (x * y),x). T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). (x \ 1) * (K(y \ x,y) * x) = T((x \ 1) * ((y \ x) * y),x). x * ((x \ 1) * (y * x)) = ((x \ 1) * (x * y)) * x. ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). x != y * ((y \ 1) * z) | L(z,y \ 1,y) = x. L(x * y,y \ 1,y) = ((y \ 1) * (y * x)) * y. ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). T(x / y,y / x) = ((x / y) \ 1) \ 1. (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). T(T(x,x \ 1),y) = T(T(x,y),R(1 / x,x,z)). T(T(x,y),R(1 / x,x,z)) = T(T(x,x \ 1),y). ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). (x * y) / R(x,z,u) = (y / R(x,z,u)) * T(x,y). (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). T(x,y) * z != (x * y) / R(x,u,w) | T(y / R(x,u,w),T(x,y)) = z. T(x / R(y,z,u),T(y,x)) = T(y,x) \ ((y * x) / R(y,z,u)). T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). K(x \ T(x,y),T(x,z) \ 1) = 1. K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). (x * (y * T(y \ 1,z))) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. T(x,y) \ T(T(x * ((x \ T(x,y)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). x * ((1 / x) * T((1 / x) \ y,x)) = T(x * y,x). x * ((1 / x) * T(y,x)) = T(x * ((1 / x) * y),x). x * (y * T(y \ (x \ (z * y)),u)) != w | (x * T(x \ z,u)) * y = w. (x * T(x \ y,x)) * (1 / x) = T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x). T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). T(x * (1 / y),y) = (y * T(y \ x,y)) * (1 / y). (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). (x * y) * (1 / y) = T((y * x) * (1 / y),y). T((x * y) * (1 / x),x) = (y * x) * (1 / x). T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. x * y != z * (T((z \ u) * z,z) / z) | T(u,z) / y = x. T(x,y) / (1 / y) = (y \ (x / (1 / y))) * y. (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))). (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). x * y != K(z \ T(z,u),(z \ 1) / (z \ T(z,w))) | x \ 1 = y. (x \ T(x,y)) \ 1 = (x \ 1) \ (T(x,y) \ 1). (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. L(x \ 1,x,y \ (y / x)) = 1 / x. (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) != z | T(x,y) * ((T(x,y) / x) \ (1 / x)) = z. T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x \ 1,x \ L(x,y,z)) * R((x \ 1) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),x \ L(x,y,z)). (x \ 1) * R((x \ 1) \ 1,y,z) = T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). x != L(y \ 1,y,z) | (z * y) \ z = x. (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). (x * y) \ x = (1 / y) * (((x * y) \ x) * y). (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y) = (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)). (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). (1 / x) * (x * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). x * (y * ((x \ (z * y)) / y)) = (x * ((y * (x \ z)) / y)) * y. (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). x \ T(x * R(x \ y,z,u),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). T(x * R(y,z,u),x) / x = R(T(x * y,x) / x,z,u). K(x \ 1,x) * L(1 / x,y,z) = L(1 / x,y,z) * K(x \ 1,x). L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). x != K(y \ 1,y) * L(1 / y,z,u) | (y \ 1) * (y * L(y \ 1,z,u)) = x. (x \ 1) * (x * L(x \ 1,y,z)) = L(1 / x,y,z) * K(x \ 1,x). L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). (x * (y * L(y \ 1,z,u))) * y != w | (x * y) * (y * L(y \ 1,z,u)) = w. ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). (x \ 1) * T(x,y) = K(x \ 1,x) * (T(x,y) / x). K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). x * (1 / x) = (1 / (1 / (1 / x))) * x. (1 / (1 / (1 / x))) * x = x * (1 / x). T(T(x,x \ 1),y) / x = T(x,y) * (1 / x). L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). T((x * y) / x,y \ 1) = T((x * y) / x,1 / y). T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). T(x,1 / T(x,y)) = T((y * T(x,y)) / y,T(x,y) \ 1). T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). T(x,T(x,y) \ 1) = T(x,1 / T(x,y)). T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). T(x \ 1,x) = T(x,x \ 1) \ 1. T(x,x \ 1) \ 1 = T(x \ 1,x). x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). R(T(x,x \ 1) * T(x \ 1,x),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). x * ((x * R(x \ 1,y,z)) * u) = (x * R(x \ 1,y,z)) * (x * u). (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). x \ y = (x * R(y / x,z,u)) \ (y * R(y / x,z,u)). (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). x != 1 * y | y = x. R(1 / x,x,y) = (x * (y / (x * y))) * (x \ 1). (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. K(x,x \ 1) = T(x,x \ 1) / x. T(x,x \ 1) / x = K(x,x \ 1). K(x,x \ 1) * x = T(x,x \ 1). ((x \ 1) \ 1) / x = K(x,x \ 1). 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 * y) * (z / (z / y)) = (x * (z / (z / y))) * y. (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). x / (y / (y / x)) = (1 / (y / (y / x))) * x. (1 / (x / (x / y))) * y = y / (x / (x / y)). (1 / (1 / (1 / x))) * x != y | x * (1 / x) = y. x * (1 / x) = x / (1 / (1 / x)). x / (1 / (1 / x)) = x * (1 / x). x / y != x * (1 / z) | L(z,1 / z,x) = y. L(x,1 / x,x) = 1 / (1 / x). (x * (1 / x)) * T(1 / (1 / x),y) = x * ((1 / x) * T(x,y)). K(x,1 / x) * (1 / (1 / x)) = x. T(L(x,1 / x,x),x \ 1) = x. K(x,1 / x) * T(1 / (1 / x),y) = x * ((1 / x) * T(x,y)). K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). T(L(x,y,z),u) != w | L(T(x,u),y,z) = w. L(T(x,x \ 1),1 / x,x) = x. L(T(x,x \ 1),1 / x,x) != y | T(x,K(x,1 / x)) = y. T(x,K(x,1 / x)) = x. K(x,1 / x) * T(x,y) = T(x,y) * K(x,1 / x). T(x,y) * K(x,1 / x) = K(x,1 / x) * T(x,y). (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). T(x,y) != z | K(y \ (y / (1 / x)),y) * x = z. K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). (x \ (x / T(x,y))) * T(x,y) = T(x,y) * T(T(x,y) \ 1,x). T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). T(x,y) * T(T(x,y) \ 1,z) != u | T(x * T(x \ 1,z),y) = u. T(x * T(x \ 1,x),y) = (x \ (x / T(x,y))) * T(x,y). (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). (x \ (x / T(x,y))) * T(x,y) != z | T(1 / T(x,y),x) / (1 / T(x,y)) = z. T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). (x * x) / T(x,y) != z | x * (T(x,y) \ x) = z. x * (T(x,y) \ x) = (x / T(x,y)) * x. (x / T(x,y)) * x = x * (T(x,y) \ x). x * y != (z * x) / T(x,u) | T(z / T(x,u),x) = y. T(x / T(x,y),x) = T(x,y) \ x. (T(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). 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 * T(y,z)) * T(y,u)) / T(y,z) = ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u). ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). x * T(x \ (x * y),z) = ((x * T(y,u)) * T(y,z)) / T(y,u). ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). x * y != z * T(u,z * u) | ((u * (z * u)) / u) / y = x. ((x * (y * x)) / x) / T(x,y * x) = y. x * y != z * T(u,z * u) | x \ ((u * (z * u)) / u) = y. x \ ((y * (x * y)) / y) = T(y,x * y). ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. (x * (y * T(y \ T(z,x),u))) / x = ((x * y) / x) * T(((x * y) / x) \ z,u). ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. (((x * y) / x) / y) * (1 / y) = (1 / y) * ((1 / y) * ((x * ((1 / y) \ 1)) / x)). (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). (1 / x) * (((y * x) / y) / x) = (((y * x) / y) / x) * (1 / x). (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. x \ (y * ((z * (y \ u)) / z)) = (x \ y) * ((z * ((x \ y) \ (x \ u))) / z). (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). x * K(x,(x / y) / x) = T(x,x / (x * y)). x * K(x,y / x) = T(x,x / (x * (y \ x))). T(x,x / (x * (y \ x))) = x * K(x,y / x). x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x). x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). x \ T(x * L(y,z,u),x) = L(x \ T(x * y,x),z,u). x * ((x * L(x \ 1,y,z)) * u) = (x * L(x \ 1,y,z)) * (x * u). (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). (x * L(x \ y,z,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). T(x,R(1 / y,y,x)) / x = (1 / y) \ ((x * (1 / y)) / x). (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,y),R(1 / x,x,T(x,y))) / T(x,y). (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,x \ 1),y) / T(x,y). ((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,x). (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). (x * (y * z)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. L(x,y,z) * u != (z * (y * x)) / x | T((z * y) / x,L(x,y,z)) = u. T((x * y) / z,L(z,y,x)) = L(z,y,x) \ ((x * (y * z)) / z). L(x,y,z) \ ((z * (y * x)) / x) = T((z * y) / x,L(x,y,z)). ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). T(x,y) = R(T(x,y * L(x,z,u)),y,L(x,z,u)). R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). T(x,y) * z != (x * y) * L(x,u,w) | T(y * L(x,u,w),T(x,y)) = z. T(x * L(y,z,u),T(y,x)) = T(y,x) \ ((y * x) * L(y,z,u)). T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). x * y != (z * (z \ u)) * w | (u * w) / y = x. (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). x * y != x / L(x,z,u) | T(1 / L(x,z,u),x) = y. T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). (x / L(x,y,z)) * (x \ 1) = R(1 / L(x,y,z),x,x \ 1). R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). T(x,y) * (T(z / (z / x),y) \ 1) = (((z / x) * T(x,y)) / (z / x)) \ T(x,y). (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). T(x / (x / y),z) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). T(x,y) * (T(1 / (1 / x),y) \ 1) != z | T(x,y) * ((T(x,y) / x) \ (1 / x)) = z. T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). (1 / x) \ ((y * (1 / x)) / y) != z | T(y,R(1 / x,x,y)) / y = z. T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). (x \ T(x,x / (x * y))) * x = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). (x * K(x,y)) / x = L(T(x,y) / x,x,y). L(T(x,y) / x,x,y) = (x * K(x,y)) / x. K(x \ 1,x) \ 1 = K(x,x \ 1). (T(x,1 / y) / y) \ (x / y) = K(1 / y,(1 / y) \ (x / y)). K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). K(x,1 / x) \ 1 = K(1 / x,x). T(T(x,y),z) != u | T(T(x,z),y) = u. ((x \ 1) * x) \ x = T(x,x \ 1). x * y != (z * u) * T(u,z) | x \ ((u * z) * u) = y. (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). x \ (((T(y,x) \ y) * x) \ x) = T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1. T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). K(x \ 1,x) = 1 / K(x,x \ 1). 1 / K(x,x \ 1) = K(x \ 1,x). x != y * (1 / y) | K(y,1 / y) = x. K(x,1 / x) = T(x,1 / x) / x. T(x,1 / x) / x = K(x,1 / x). K(x \ 1,x) \ x = T(x,x \ 1). T(x,x \ 1) / x = K(x,1 / x). ((x \ 1) \ 1) / x = K(x,1 / x). (x \ 1) \ 1 = K(x \ 1,x) \ x. K(x \ 1,x) \ x = (x \ 1) \ 1. T(x,x \ 1) / x != y | K(x,x \ 1) = y. K(x,x \ 1) = K(x,1 / x). K(x,1 / x) = K(x,x \ 1). (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). x * (1 / x) = K(x,x \ 1). K(x,y) != z | K((u / x) \ u,y) = z. K((x / y) \ x,1 / y) = K(y,y \ 1). x * y != K(z,1 / z) | x \ K(z,z \ 1) = y. x \ K(x,x \ 1) = 1 / x. K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1). K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). K(x,x \ 1) != y | x * (1 / x) = y. K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). K(x,x \ 1) * (1 / (1 / x)) = x. (1 / (1 / x)) * K(x,x \ 1) = x. K(x,x \ 1) \ 1 = K(1 / x,x). x != K(y,y \ 1) | K(y \ 1,y) \ 1 = x. K(x \ 1,x) \ 1 = x * (1 / x). x * (1 / x) != y | (1 / (1 / (1 / x))) * x = y. (1 / (1 / (1 / x))) * x = K(x,x \ 1). (x \ y) * (1 / (x \ y)) != z | x \ (y * L(y \ x,x \ y,y \ x)) = z. x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). R(x,y,z) * (1 / R(x,y,z)) != u | R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = u. R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). x * y != z * (1 / z) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). ((x \ 1) \ 1) / x != y | (x \ 1) \ (1 / x) = y. (x \ 1) \ (1 / x) = K(x,1 / x). R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). K(x,x \ 1) \ x = 1 / (1 / x). x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). x != (y \ 1) / (1 / y) | K(y \ 1,y) = x. K(x \ 1,x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = K(x \ 1,x). K(x,1 / x) != y | K(x,x \ 1) = y. K(1 / x,(1 / x) \ 1) = K(x \ 1,x). K(1 / x,x) = K(x \ 1,x). (1 / x) / K(x,1 / x) = x \ 1. (x \ 1) * K(x,1 / 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). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). x != y * (1 / y) | K(y,y \ 1) = x. K(x,x \ 1) = R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). R(x \ 1,x,y) * K(x,x \ 1) = y / (x * y). x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). x * K(x \ y,(x \ y) \ 1) = y * L(y \ x,x \ y,y \ x). x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. x * y != (x * z) * L(u,z,x) | z * u = y. (1 / x) * y = K(x,x \ 1) * (x \ L(y,1 / x,x)). K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. x * y != (x * z) * 1 | z = y. 1 / x = K(x,x \ 1) * (x \ 1). K(x,x \ 1) * (x \ 1) = 1 / x. 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 * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. (1 / x) * y != K(x,x \ 1) * z | x \ L(y,1 / x,x) = z. K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. T(x,y) = R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)). R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). K(x,x \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). x * K(1 / x,x) = 1 / (1 / x). (K(x,x \ 1) * y) / (x * y) = R(1 / (1 / (1 / x)),x,y). x != K(1 / y,y) | K(y \ 1,y) = x. K(x \ 1,x) = K(x,x \ 1) \ 1. K(x,x \ 1) \ 1 = K(x \ 1,x). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). (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 \ 1) * K(x,x \ 1) = 1 / x. ((T(x,y) \ x) * y) \ 1 = y \ (((T(x,y) \ x) * y) \ y). x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). K(1 / (1 / x),y) * x = x * L(x \ T(x,y),1 / (1 / x),y). x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. ((x / y) \ x) * z != u | y * z = u. x * ((y / (y / x)) * z) = (y / (y / x)) * (x * z). (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). (x * y) * T(K(y,x),z) = (y * x) * K(z \ (z / K(x,y)),z). (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). 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 * y) * L(T(T(x,y) \ x,x),T(x,y),y) = y * L(x,T(x,y) \ x,T(x,y)). 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). L(x,T(x,y) \ x,T(x,y)) != z | T(x,y) * T(T(x,y) \ x,x) = z. T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). 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). T(x,y) * K(x,1 / x) != z | K(x,1 / x) * T(x,y) = z. K(x,1 / x) * T(x,y) = x * (T(x,y) * (1 / x)). K(x,x \ 1) * T(x,y) = x * (T(x,y) * (1 / x)). K(x,x \ 1) * (x \ T(x,y)) = T(x,y) * (1 / x). (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. x != T(y,y \ z) * u | ((y \ z) \ z) * u = x. ((x \ y) \ y) * (x \ z) = x \ (T(x,x \ y) * z). x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u). (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). x \ (y * T(x,z)) = (x \ y) * T((x \ y) \ T(y,x),z). (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). x * y != z \ z | x \ 1 = y. L(x,y,z) \ 1 = x \ (L(x,y,z) \ x). x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. x * y != z \ (u * z) | x \ T(u,z) = y. L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)). x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). L(x \ 1,x,y \ ((x * y) / x)) = T(1 / x,T(x,R(y,y \ 1,x))). T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). ((x \ y) / (y / x)) / (1 / (y / x)) != z | T(1 / (1 / (y / x)),x) = z. T(1 / (1 / (x / (y * x))),y * x) = T(1 / (1 / R(1 / y,y,x)),y * x). T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). L(K(T(x,y),1 / x),T(x,y) / x,z) = (z * (T(x,y) / x)) \ (z * (T(x,y) * (1 / x))). (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). ((1 / x) * T(y,z)) * x = T(((1 / x) * y) * x,z). 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). x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). x * y != (z * u) * R((z * u) \ (w * u),v5,v6) | x \ ((z * R(z \ w,v5,v6)) * u) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). x \ (y * 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 \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). (x \ ((x * y) * (y \ z))) / (x \ z) = R(x,y,y \ z). (x \ ((x * y) * T(z,y))) / (x \ (z * y)) = R(x,y,y \ (z * y)). T(x,R(x,y,z) * u) = L(T(x,u),u,R(x,y,z)). L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). x \ (R(x,y,z) \ x) = R(x,y,z) \ 1. L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). K((1 / x) \ (T(x,y) / x),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). x * y != (((1 / z) * T(z,u)) / (1 / z)) \ T(z,u) | x \ K(T(z,u),1 / z) = y. T(x,y) \ K(T(x,y),1 / x) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). K(R(x,y,z),1 / x) = x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)). x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). x * (K(x \ 1,x) * (x \ y)) = ((x \ (y / y)) * x) * y. ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). ((x \ 1) * x) * y = x * (K(x \ 1,x) * (x \ y)). x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. x * (K(x \ 1,x) * y) = K(x \ 1,x) * (x * y). K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). T(x,K(x \ 1,x) * y) = L(T(x,y),y,K(x \ 1,x)). L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). T(((x * y) \ x) \ 1,x) = L(y \ 1,y,x) \ K(y,x). (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). T(x,x * K(y,x)) = x. T(x * K(y,x),x) = x * K(y,x). (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). (x \ y) * T((x \ y) \ 1,z) != u | x \ (y * T(y \ x,z)) = u. x \ (y * T(y \ x,T(y,x))) = K(T(x / y,T(y,x)),T(y,x)). ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). (x \ 1) * ((x \ L(x,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). x * y != z * (u * (u \ 1)) | x \ z = y. (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ L(x,y,z)) \ 1). (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). x != y * R(T(z,y),u,w) | R(z,u,w) * y = x. R(x,y,z) * (u \ 1) = u \ R(u * (x * (u \ 1)),y,z). x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). (x \ 1) * R((x \ 1) \ 1,y,z) != u | T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,w,v5)) = u. T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). (x \ 1) * ((x \ R(x,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). (x \ R(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ R(x,y,z)) \ 1). (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. (R(x,y,z) * u) * x = (u * x) * R(T(x,u),y,z). (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. (1 / x) \ L(y,z,u) = x * L(x \ ((1 / x) \ y),z,u). x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). (1 / x) \ K(1 / (1 / x),y) = x * L(x \ T(x,y),1 / (1 / x),y). x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). x * L(x \ T(x,y),1 / (1 / x),y) != z | K(1 / (1 / x),y) * x = z. K(1 / (1 / x),y) * x = (1 / x) \ K(1 / (1 / x),y). (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). (x * ((T(y,z) / (z \ 1)) / (z \ (y / (z \ 1))))) / z = (x / z) * (((z \ (y / (z \ 1))) * z) / (z \ (y / (z \ 1)))). (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ T(y / x,x). T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). T(x / y,z) \ (y \ x) = (y \ x) * (T(x / y,z) \ 1). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). ((x \ y) \ y) * (T(x,z) \ 1) = T(y / (x \ y),z) \ ((x \ y) \ y). T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). T(x,y) \ ((x \ z) \ z) = ((x \ z) \ z) * (T(x,y) \ 1). ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). x \ (T(x,y) \ ((x \ z) \ z)) = ((x \ z) \ z) * (x \ (T(x,y) \ 1)). ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). (((x / y) \ 1) \ y) * ((x / y) \ 1) = (x / y) \ T(x,(x / y) \ 1). (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). x \ R(T(y,x \ 1),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). (x \ R(T(y,x \ 1),z,u)) / (x \ 1) != w | (x \ 1) \ (x \ R(y,z,u)) = w. (x \ 1) \ (x \ R(y,z,u)) = R((x \ 1) \ (x \ y),z,u). x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). R(x,y,z) \ T(x,u) = T(x,u) * (R(x,y,z) \ 1). T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ T(y / x,x). R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). R(x / y,z,u) \ (y \ x) = (y \ x) * (R(x / y,z,u) \ 1). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ (y \ (y * x)). R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). R((x * y) / x,z,u) \ y = y * (R((x * y) / x,z,u) \ 1). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. T(x,y) \ T(T(x,1 / x),y) = a(T(x,y),1 / x,x). T(x,y) \ T(T(x,x \ 1),y) = a(T(x,y),1 / x,x). T(x,y) \ T(T(x,y),x \ 1) = a(T(x,y),1 / x,x). T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = T(x,y) \ T(T(x,x \ 1),y). x != T(y,z) \ T(T(y,y \ 1),z) | a(T(y,z),1 / y,y) = x. a(T(x,y),1 / x,x) = T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)). T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = a(T(x,y),1 / x,x). x \ (y * (z \ x)) = R(T(y / z,x),z,z \ x). R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). (x * y) \ (z * T(R(T(x,z),y,y \ z),u)) = ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u). ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). (x * y) * T(K(y,x),x) = y * L(x,T(x,y) \ x,T(x,y)). x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). (x * y) * T((x * y) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). R(x / (y / z),y / z,z) != u | (x * z) / y = u. (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / ((x / y) * y))) / (x / y). ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. ((x / y) * (y / x)) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). x * y != L((z * ((u \ 1) \ w)) / z,u \ 1,u) | x \ ((z * (u * w)) / z) = y. x \ ((y * (x * z)) / y) = (x \ 1) * ((y * ((x \ 1) \ z)) / y). (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. T(x,x / (y \ 1)) = y \ ((x * (y * x)) / x). x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. T(x,y * x) = T(x,x / (y \ 1)). T(x,x / (y \ 1)) = T(x,y * x). ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). (x * (y * R(z,u,w))) / (x * y) = R((x * (y * z)) / (x * y),u,w). x / (y * z) != R(u,y,z) | (u * y) * z = x. (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). T(x * y,(x \ 1) \ y) = x * y. x * y != T(x,z) * (z * x) | T(T(x,z * x) * z,x) = y. T(T(x,y * x) * y,x) = T(x,y) * T(y,x). T(x * (y / (x * y)),x) = T(x,y / (x * y)) * T(y / (x * y),x). T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). x != T(y * (z / (y * z)),y) | y * (z / (y * z)) = x. x * (y / (x * y)) = T(x,y / (x * y)) * R(x \ 1,x,y). T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). R(x,T(1 / x,y),x) = T(x,(x * T(x \ 1,y)) / x). T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). T(x,T(1 / x,y)) = R(x,T(1 / x,y),x). R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). R(T(x,T(1 / x,y)),z,u) = R(R(x,z,u),T(1 / x,y),x). R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. x \ (1 / (1 / x)) != y | K(x \ 1,x) = y. K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). L(x \ T(x,y),x,y) = T((y * x) \ (x * y),x \ 1). T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). x != L(y \ T(y,z),y,z) | K(y,z) = x. K(x,y) = T((y * x) \ (x * y),x \ 1). T((x * y) \ (y * x),y \ 1) = K(y,x). T(K(x,y),x \ 1) = K(x,y). T(x \ 1,K(x,y)) = x \ 1. (x \ 1) * K(x,y) = K(x,y) * (x \ 1). K(x,y) * (x \ 1) = (x \ 1) * K(x,y). T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). (x * y) \ x = T((x * y) \ x,K(y,z)). T((x * y) \ x,K(y,z)) = (x * y) \ x. T(K(x,y),(z * x) \ z) = K(x,y). T(K(x \ 1,y),x) = K(x \ 1,y). R(T(1 / x,x * y),x,y) != z | T((x * y) \ (K(x,x \ 1) * y),x) = z. T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). K(x \ 1,x) * ((x \ 1) \ 1) = x. x * K(x \ 1,y) = K(x \ 1,y) * x. K(x \ 1,y) * x = x * K(x \ 1,y). K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. ((x \ 1) \ 1) * K(x \ 1,x) = x. T(x / (y * z),u) * (y * z) = (T((x / z) / y,u) * y) * z. (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). (x * (y / (z * u))) / x = R((x * ((y / u) / z)) / x,z,u). R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. x * y != (R(z,u,w) * (u * w)) / w | (z * u) / y = x. (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. x * ((y * (x \ z)) / y) = R((y * (z / x)) / y,x,x \ 1) / (x \ 1). R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. (R(x,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). ((x * y) / x) / T(y,z) = (1 / T(y,z)) * ((x * y) / x). (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). (1 / T(T(x,y),z)) * x = ((y * T(x,y)) / y) / T(T(x,y),z). ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. x / T(T(x,y),z) = (1 / T(T(x,y),z)) * x. (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). x * y != z / T(u,u \ z) | (u \ z) / y = x. (T(x,y) \ x) / x = 1 / T(T(x,y),T(x,y) \ x). 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = (T((y / (1 / x)) / x,z) * x) * (1 / x). (T((x / (1 / y)) / y,z) * y) * (1 / y) = K(y,y \ 1) * T(K(y,y \ 1) \ x,z). (T((x / y) / z,u) * z) * y != w | z * (y * T(y \ (z \ x),u)) = w. x * ((1 / x) * T((1 / x) \ (x \ y),z)) = K(x,x \ 1) * T(K(x,x \ 1) \ y,z). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). x != y * (T((y \ z) * y,y) / y) | 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). T(x,y) * K(y,y \ 1) = T(x * K(y,y \ 1),y). K(x,x \ 1) * T(y,x) = T(K(x,x \ 1) * y,x). x * y != T(((1 / y) * z) * y,u) | (1 / y) * T(z,u) = x. (1 / K(x,x \ 1)) * T(y,x) = T((1 / K(x,x \ 1)) * y,x). (x \ y) * K(x,x \ 1) = T((y / x) * K(x,x \ 1),x). T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). x * y != L(x,z,u) * K(x,x \ 1) | L(x,z,u) * (1 / x) = y. L(x,y,z) * (1 / x) = (x \ L(x,y,z)) * K(x,x \ 1). (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). R(x,y,K(x,x \ 1)) = x. L(K(x,x \ 1),y,x) = K(x,x \ 1). (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). T(x,y) = R(T(x,y),z,K(x,x \ 1)). R(T(x,y),z,K(x,x \ 1)) = T(x,y). R(1 / x,y,K(x \ 1,x)) = 1 / x. (1 / x) * (y * K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(x \ 1,x)). R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) != z | T(x,y) = z. T(x,y) = T(x,y * K(x,x \ 1)). T(x,y * K(x,x \ 1)) = T(x,y). T(x,y / (x * y)) = T(x,R(x \ 1,x,y)). T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. K(x,y / (x * y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) != z | x \ T(x,y / (x * y)) = z. x \ T(x,y / (x * y)) = K(x,y / (x * y)). (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). K(x \ 1,x) * T(y,x) = T(K(x \ 1,x) * y,x). x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). L(x,y,K(x \ 1,x)) = x. T(x,y) = L(T(x,y),z,K(x \ 1,x)). L(T(x,y),z,K(x \ 1,x)) = T(x,y). K(T(1 / x,x),x) = L(K(x \ 1,x),y,K(x \ 1,x)). L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). K(x \ 1,x) * y != K(x \ 1,x) * (z * K(x \ 1,x)) | T(K(x \ 1,x) * z,K(x \ 1,x)) = y. T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. T(x,K(x \ 1,x) * y) = T(x,y). T(x,y) = T(x,K(x \ 1,x) \ y). T(x,K(x \ 1,x) \ y) = T(x,y). x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). L(x,y,K(x,x \ 1)) = x. L(1 / x,y,K(x \ 1,x)) = 1 / x. T(1 / x,y) = L(T(1 / x,y),z,K(x \ 1,x)). L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). R((x / y) / z,z,y) != u | x / (z * y) = u. (x * y) / (y * x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). (x * y) \ (y * x) = ((1 / x) * ((x * y) \ (y * x))) / (1 / x). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = K(y,x). ((1 / x) * K(y,x)) / (1 / x) = K(y,x). T(1 / x,K(y,x)) = 1 / x. K(x,y) * (1 / y) = (1 / y) * K(x,y). (K(x,y) * (1 / y)) / K(x,y) = 1 / y. K(1 / x,K(y,x)) = 1. K(x,K(y,x \ 1)) = 1. T(x,K(y,x \ 1)) = x. T(x,y) = T(T(x,y),K(z,x \ 1)). T(T(x,y),K(z,x \ 1)) = T(x,y). K(x,y \ 1) * L(y,z,u) = L(y,z,u) * K(x,y \ 1). L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). L(x,y,z) * K(x,x \ 1) != u | x * (L(x,y,z) * (1 / x)) = u. x * (L(x,y,z) * (1 / x)) = K(x,x \ 1) * L(x,y,z). K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). x != L(1 / y,z,u) * (1 / (1 / y)) | L(y \ 1,z,u) / (1 / y) = x. L(x \ 1,y,z) / (1 / x) = K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)). K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * (x * L(x \ 1,x,y)) != z | (x * ((y * x) \ y)) * K(x \ 1,x) = z. (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). x != L(y \ 1,y,z) / (1 / y) | L(y \ 1,y,z) * y = x. L(x \ 1,x,y) * x = (x * ((y * x) \ y)) * K(x \ 1,x). (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). (x * y) \ x = (y \ 1) * (y * ((x * y) \ x)). (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. ((x * y) \ x) * 1 = (y \ 1) * (y * ((x * y) \ x)). (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). K(x \ 1,x * ((y * x) \ y)) = 1. x * y != K(z \ 1,z * ((u * z) \ u)) | x \ 1 = y. (x \ 1) \ 1 = T(x,(y * x) \ y). T(x,(y * x) \ y) = (x \ 1) \ 1. T(x,x \ 1) = T(x,(y * x) \ y). T(x,(y * x) \ y) = T(x,x \ 1). x * y != T(z,(u * z) \ u) | ((z \ 1) \ 1) / y = x. ((x \ 1) \ 1) / x = K(x,(y * x) \ y). K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. T(1 / (1 / x),(y * x) \ y) = x. T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). T(x,L(x \ 1,x,y)) = T(x,x \ 1). x != ((y \ 1) \ 1) / y | 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(x,y \ (y / x)) = K(x,x \ 1). K(T(x,y),(x * y) \ y) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). 1 / T(x \ y,y \ x) = (x \ y) \ 1. (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = y * K((y \ x) \ 1,y \ x). x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = T(y * x,y \ (1 / x)) / x. T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). 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). K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). (((x * y) \ x) * y) / ((x * y) \ x) != z | L(y,(x * y) \ x,y) = z. L(x,(y * x) \ y,x) = 1 / (1 / x). L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). x * (1 / (1 / (x \ y))) = y * K(y \ x,(y \ x) \ 1). x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). x * y != z * (1 / (1 / (z \ u))) | x \ (u * K(u \ z,z \ u)) = y. x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))). (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). x != K(y \ z,(y \ z) \ 1) | K(y \ z,z \ y) = x. K(x \ y,y \ x) = K(x \ y,T(x / y,T(y,x))). K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). T(K(x,y),K(y,x)) = T(K(x,y),K(x,y) \ 1). T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). (K(x,y) \ 1) \ 1 = T(K(x,y),K(y,x)). T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. T(K(x,y \ 1),T(y,z)) = K(x,y \ 1). T(T(x,y),z \ T(z,x \ 1)) = T(x,y). T(T(x,y),a(T(x,z),1 / x,x)) = T(x,y). T(T(x,x \ 1),y) / T(x,y) = a(T(x,y),1 / x,x). T(T(x,x \ 1),y) / T(x,y) != z | (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = z. (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = a(T(x,y),1 / x,x). (1 / x) \ ((T(x,y) * (1 / x)) / T(x,y)) = a(T(x,y),1 / x,x). (1 / x) \ L(1 / x,T(x,y),1 / x) = a(T(x,y),1 / x,x). (1 / x) \ L(1 / x,y,z) != u | x * L(x \ 1,y,z) = u. x * L(x \ 1,T(x,y),1 / x) = a(T(x,y),1 / x,x). x * ((x \ T(x,y)) / T(x,y)) = a(T(x,y),1 / x,x). T(x,y) \ T(T(a(T(x,y),1 / x,x),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). T(K(x,y),R(1 / y,z,u)) = K(x,y). T(K(x,y),z / (y * z)) = K(x,y). T(K(x,y),y \ 1) = K(x,y). T(x \ 1,K(y,x)) = x \ 1. (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). (x \ 1) * T(x,y) = T((x \ 1) * T(x,y),x \ 1). T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. x = T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)). T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. T(x,((1 / x) \ 1) * T(1 / x,y)) = x. T(x,x * T(1 / x,y)) = x. T(x * T(1 / x,y),x) = x * T(1 / x,y). T(x * T(1 / x,y),x) != z | T(x,T(1 / x,y)) * T(x \ 1,y) = z. T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). (x \ 1) * T(T(x \ 1,K(y,x)) \ 1,z) = T((x \ 1) * T((x \ 1) \ 1,z),K(y,x)). (x \ 1) * T((x \ 1) \ 1,y) = T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)). T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). x \ T(x,y) = T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)). T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). T(x \ T(x,y),K(z,x)) = x \ T(x,y). T(K(x,y),y \ T(y,z)) = K(x,y). L(x \ T(x,y),x,y) = T((y * x) \ (x * y),K(z,x)). T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). K(x,y) = T((y * x) \ (x * y),K(z,x)). T((x * y) \ (y * x),K(z,y)) = K(y,x). T(K(x,y),K(z,x)) = K(x,y). T(K(x,y),K(y,x)) != z | (K(x,y) \ 1) \ 1 = z. (K(x,y) \ 1) \ 1 = K(x,y). T(K(x,y),K(y,z)) = K(x,y). K(x,y) * K(y,z) = K(y,z) * K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * 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). 1 / (1 / K(x,y)) = K(x,y). K(x,y) * T(K(z,x),u) = T(K(z,x),u) * K(x,y). T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). K(x,y) * L(K(z,x),u,w) = L(K(z,x),u,w) * K(x,y). L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). K(x,y) * R(K(z,x),u,w) = R(K(z,x),u,w) * K(x,y). R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). K(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. (x / (y * x)) * K(z,y) = K(z,y) * (x / (y * x)). K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) != z | (((y * x) \ y) \ K(x,y)) / (L(x \ 1,x,y) \ 1) = z. (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). T(K(x,y),z) = K(y \ (y / T(L(x \ 1,x,y),z)),y). K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). T(K(x,y),((y * x) \ y) \ 1) = (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). K(x \ (x / ((L(y \ 1,y,x) \ z) \ z)),x) = T(K(y,x),L(y \ 1,y,x) \ z). T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). (x * K(y,x)) \ K(y,x) = x \ 1. K(x,y) / (y \ 1) = y * K(x,y). (x * K(y,x)) * (x \ 1) = K(y,x). K(x,1 / y) / y = (1 / y) * K(x,1 / y). (1 / x) * K(y,1 / x) = K(y,1 / x) / x. (x * K(y,x)) * ((x \ 1) * T((x \ 1) \ 1,z)) = K(y,x) * T(K(y,x) \ (K(y,x) / (x \ 1)),z). K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. x != T(L(y,z,u),w) | L(T(y,w),z,u) = x. L(T(x,y),z,x) = T(T((z * x) / z,y),x * z). T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). x != (y * z) * R(L(u,z,y),w,v5) | y * (z * R(u,w,v5)) = x. R(x,y,z) * (z * R(T(y,z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). L(x,y,(y * x) / y) * y = y * T(x,y * x). x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. x * y != (z * u) * a(z,w,w \ u) | ((z * w) * (w \ u)) / y = x. ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. x * y != ((((x * z) / x) \ 1) \ 1) * x | T(z,x / (x * z)) = y. T(x,y / (y * x)) = T(x,((y * x) / y) \ 1). T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). x * y != R(T(z,z \ u),w,v5) | x \ R((z \ u) \ u,w,v5) = y. ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = T(x,x \ y) \ R(T(z,z \ u),w,v5). T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). T(x / (y * (y \ z)),y) * z = ((y \ (x / (y \ z))) * y) * (y \ z). ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. x * T(x \ y,z) = ((z \ (y / (z \ x))) * z) * (z \ x). ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). R(T(1 / x,y),x,x \ y) = T(y \ (K(x,x \ 1) * (x \ y)),x). T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). x != R(T(1 / y,z),y,y \ z) | z \ (y \ z) = x. x \ (y \ x) = T(x \ (K(y,y \ 1) * (y \ x)),y). T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). x * R(x \ y,x,x \ z) = ((y * (x \ z)) / z) * x. ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). (1 / x) * ((T(y,x) / y) * x) = R((1 / x) * ((y * x) / y),x,x \ y). R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). K(x,y) \ (L(z,K(u,x),K(x,y)) * (K(u,x) * K(x,y))) = K(u,x) * T(z,K(x,y) * K(u,x)). x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). x * ((y \ 1) * (y * T(y \ 1,x))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. (L(x,y,z) * u) / x = (u / x) * L(T(x,u),y,z). (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. x * L(T(y,x * y),z,u) = (L(y,z,u) * (x * y)) / y. (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). x != y \ (L(y,z,u) * w) | L(y,z,u) * (y \ w) = x. L(x,y,z) * (x \ (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) * (y \ (x * y)). T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). x * y != L(T(z \ u,w),z,1 / z) | x \ T((1 / z) * u,w) = y. (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). (1 / x) \ T(y,z) = x * T(x \ ((1 / x) \ y),z). x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). x * y != R(R(z / u,w,v5),u,u \ 1) | R(z * (u \ 1),w,v5) / y = x. R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). R(x,y,z) / (u \ 1) = u * R(u \ (x / (u \ 1)),y,z). x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). L(T(x \ y,z),x,1 / x) != u | T((1 / x) * y,z) = u. T((1 / x) * y,x) = (1 / x) * ((x \ y) * x). (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). (1 / x) * (y * x) = T((1 / x) * (x * y),x). T((1 / x) * (x * y),x) = (1 / x) * (y * x). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). T(x,T(x,y) \ 1) = T(x,x / (x * T(x,y))). T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). T(x,x / (x * T(x,y))) != z | x * (T(x,T(x,y) \ 1) / x) = z. x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). (x \ y) * ((((x \ y) \ y) \ z) \ z) = T(x,((x \ y) \ y) \ z) * (x \ y). T(x,((x \ y) \ y) \ z) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ z) \ z). x * y != T(z,u) * T(z,w) | x \ (T(z,w) * T(z,u)) = y. x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. T(x,y) * (x \ T(x,z)) = T(x,z) * (x \ T(x,y)). L(L(x,y,z),u,w) != v5 | L(L(x,u,w),y,z) = v5. L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). x = (y / (z * y)) * (R(1 / z,z,y) \ x). (x / (y * x)) * (R(1 / y,y,x) \ z) = z. ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. L(1 / x,x,y) = L((y * x) \ y,x,1 / x). L((x * y) \ x,y,1 / y) = L(1 / y,y,x). L(1 / x,x,y) = L((y * x) \ y,x,(z * x) \ z). L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). L((x * y) \ x,y,(x * y) \ x) != z | 1 / (1 / ((x * y) \ x)) = z. 1 / (1 / ((x * y) \ x)) = L(1 / y,y,x). L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). L(1 / x,x,y) = 1 / (1 / L(x \ 1,x,y)). 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1 = L(T(x,x \ 1) \ 1,T(x,x \ 1),y). L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). (1 / x) * (x * ((y * x) \ y)) != z | (T(x,(y * x) \ y) / x) * ((y * x) \ y) = z. (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). ((x * y) \ x) \ L(1 / y,y,x) != z | K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = z. K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). (x * y) * K(y,y \ 1) = x * T(y,L(y \ 1,y,x)). x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). x * ((y \ 1) \ 1) = (x * y) * K(y,y \ 1). (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). x * T(y,y \ 1) = (x * y) * K(y,y \ 1). (x * y) * K(y,y \ 1) = x * T(y,y \ 1). x * K(y,y \ 1) = (x / y) * T(y,y \ 1). (x / y) * T(y,y \ 1) = x * K(y,y \ 1). (x * y) * K(y,y \ 1) != z | (x * K(y,y \ 1)) * y = z. (x * K(y,y \ 1)) * y = x * T(y,y \ 1). K(x,x \ 1) * y != (K(x,x \ 1) * z) * x | z * x = y. x * K(x,x \ 1) = T(x,x \ 1). ((x / T(y,z)) / y) * T(y,z) != u | x / y = u. x / y = (x / T(y,y \ 1)) * K(y,y \ 1). (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). R(x,K(y,y \ 1),y) = x. L(x,K(x,x \ 1),y) = x. L(1 / x,K(x \ 1,x),y) = 1 / x. (1 / x) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). R(x,K(y \ 1,y),1 / y) = x. x * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). x / (1 / y) = (x / (y \ 1)) * K(y \ 1,y). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). x * (y / z) != (u * (y / z)) * (z \ y) | u * (z \ y) = x. x * (y \ 1) = (x * (1 / y)) * K(y \ 1,y). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). R(x,y \ 1,y) / y = x * (1 / y). R(x,1 / y,K(y \ 1,y)) = x. 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. (x * (1 / y)) * y = R(x,y \ 1,y). x / y != z * (1 / y) | R(z,1 / y,y) = x. R(x,1 / y,y) = R(x,y \ 1,y). x \ R(x,y \ 1,y) = a(x,1 / y,y). ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). (x * (y \ 1)) * y = R(x * K(y \ 1,y),y \ 1,y). R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. T(x * y,z) = R(T(x / (1 / y),z),y \ 1,y). R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. R(x,y,y \ 1) = R(x,(y \ 1) \ 1,y \ 1). R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). (x \ 1) \ 1 = x * K(x,x \ 1). x * K(x,x \ 1) = (x \ 1) \ 1. x * y != T(z,z \ 1) | x \ T(z,u / (z * u)) = y. x \ T(x,y / (x * y)) = K(x,x \ 1). x \ ((x \ 1) \ 1) = K(x,x \ 1). (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = R(x,K(x,x \ 1),y). x \ ((x \ 1) \ 1) != y | y = K(x,x \ 1). x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. x != K(y,y \ 1) | K(y,1 / y) = x. K(x,1 / x) = x \ ((x \ 1) \ 1). x \ ((x \ 1) \ 1) = K(x,1 / x). x * y != K(z,z \ 1) | x \ (z \ ((z \ 1) \ 1)) = y. x \ (x \ ((x \ 1) \ 1)) = 1 / x. x * y != z \ ((z \ 1) \ 1) | x \ K(z,1 / z) = y. T(x,y) \ K(x,1 / x) = x \ (T(x,y) \ ((x \ 1) \ 1)). x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). (x * T(y,y \ z)) / ((y \ z) \ z) = x. R(x,1 / (1 / y),K(y,y \ 1)) = x. R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) != z | (x * K(y,y \ 1)) / y = z. (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). x * y = (x * (1 / (1 / y))) * K(y,y \ 1). (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. x \ T(x,y / (x * y)) != z | K(x,y / (x * y)) = z. 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). (x * K(y,y \ 1)) / y != z | (x / y) * K(y,y \ 1) = z. (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). (x / y) * K(y,y \ 1) != z | x * (1 / (1 / (x \ (x / y)))) = z. x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). x * y != (z / u) * K(u,u \ 1) | x \ (z / (1 / (1 / u))) = y. x \ (x / (1 / (1 / y))) = 1 / (1 / (x \ (x / y))). 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). (x \ (x / (1 / y))) \ 1 = 1 / (x \ (x / (y \ 1))). 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. (x \ (x / y)) \ 1 = 1 / (x \ (x / ((y \ 1) \ 1))). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). ((x \ (x / y)) \ 1) \ 1 != z | T(x \ (x / y),y) = z. T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 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) | z * K(y,y \ 1) = x. (x * K(y \ 1,y)) * K(y,y \ 1) = x. (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). x != ((y / z) * (z / y)) / (y / z) | 1 / (1 / (z / y)) = x. 1 / (1 / (x / y)) = (K(y / x,x / y) * x) / y. (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). x != (y * (1 / z)) * z | R(y,z \ 1,z) = x. R(x,y \ 1,y) = (x * (y \ 1)) * ((y \ 1) \ 1). (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). x != R(y,z \ 1,z) | R(y,1 / z,z) = x. R(x,1 / y,y) = R(x,y \ 1,(y \ 1) \ 1). R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). x * K(y,y \ 1) = (x / (y \ 1)) * (1 / y). (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). ((x * y) * (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(x,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)) = R(x,y,1 / z). x * y != (z / u) * K(u,u \ 1) | (z / (1 / (1 / u))) / y = x. (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). x / K(y,y \ 1) = x * K(y \ 1,y). x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. x * (1 / (1 / y)) = (x * y) * K(y \ 1,y). (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). x * K(y,y \ 1) != z * T(y,y \ 1) | z * y = x. x * y = (x * T(y,y \ 1)) * K(y \ 1,y). (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. x * K(y,y \ 1) != z / (y * z) | R(y \ 1,y,z) = x. R(x \ 1,x,y) = (y / (x * y)) * K(x \ 1,x). (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). x * y != (z * K(u \ 1,u)) * K(u,u \ 1) | z / y = x. x / T(y,y \ 1) = (x * K(y \ 1,y)) / y. (x * K(y \ 1,y)) / y = x / T(y,y \ 1). x != y * K(z,z \ 1) | x * K(z \ 1,z) = y. x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. L(K(x \ 1,x),x,y) = K(x \ 1,x). L(K(x \ 1,x),x,y) != z | K((y * x) \ y,y \ (y * x)) = z. K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). K((x * y) \ x,y) = K(y \ 1,y). K(x \ y,y \ x) = K((y \ x) \ 1,y \ x). K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). K((x * y) \ y,T(x,y)) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). x * y != K((z \ u) \ 1,z \ u) | x \ K(u \ z,z \ u) = y. ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,y \ (x * y)). K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). x * K(T(y,x) \ 1,T(y,x)) = (y * x) * ((((y * x) \ x) \ 1) \ 1). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). x != K(y \ z,T(y / z,T(z,y))) | K(y \ z,z \ y) = x. K(x \ y,y \ x) = K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). (x / T(y,y \ 1)) * y = x * K(y \ 1,y). (x / (y * x)) * K(z,y) != u | K(z,y) * (x / (y * x)) = u. K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). 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 * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). K(x / y,y / x) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,x / y). K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). x != K(y,z / (y * z)) | K(y,y \ 1) = x. K(x,x \ 1) = K((y / (x * y)) \ 1,y / (x * y)). K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). K((x / y) \ 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. T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. ((x \ 1) \ 1) * y = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. K(x,x \ 1) * y = T(x,x \ 1) * (x \ y). T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. K(x,x \ 1) * (x * y) != z | x * (K(x,x \ 1) * y) = z. x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. L(x,y,K(y,y \ 1)) = x. x * y != K(z,z \ 1) * (z * u) | (T(z,z \ 1) * u) / y = x. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. 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) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). T(x,y) \ z != x \ (T(x,y) \ u) | x \ u = z. x \ y = K(x,x \ 1) * (T(x,x \ 1) \ y). K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. ((x \ 1) \ 1) \ (K(x,x \ 1) * y) = x \ y. ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. x * y != (z / u) \ z | x \ u = y. K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. K(x \ 1,x) \ (x * y) = R(x \ 1,x,y) \ y. R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). ((x \ 1) \ 1) * y = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. L(x,1 / y,K(y \ 1,y)) = 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. L(x \ y,x,x \ 1) = (1 / x) * y. K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. L(x,1 / (1 / y),K(y,y \ 1)) = x. x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. x * y = (1 / (1 / x)) * (K(x,x \ 1) * y). (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). K(x \ 1,x) * y = (x \ 1) * ((1 / x) \ y). (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y. L(x,y,y \ 1) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,x \ 1). ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). T((x \ 1) * y,K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). ((1 / x) * y) * K(x \ 1,x) = T((x \ 1) * y,K(x \ 1,x)). T(x,(x \ 1) * y) = T(x,(1 / x) * y). T(x,(1 / x) * y) = T(x,(x \ 1) * y). x != (y / (z \ y)) * u | z * u = x. x * y = L((x \ 1) \ y,x \ 1,(x \ 1) \ 1). L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. L(T(x,y),y,y \ 1) = (1 / y) * (x * y). L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). (1 / x) * L(y,x \ 1,x) = L((x \ 1) * y,x,x \ 1). T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. (x \ 1) * y != K(x \ 1,x) * L(z,x,x \ 1) | x * z = y. x * y = (1 / x) \ L(y,x,x \ 1). (1 / x) \ L(y,x,x \ 1) = x * y. (x \ 1) * (x * ((y * (x \ z)) / y)) = K(x \ 1,x) * ((y * ((1 / x) * z)) / y). K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). ((x \ 1) * y) \ ((x \ 1) * (y * z)) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. x * y != z * (z \ u) | x \ u = y. (1 / (1 / x)) \ y = K(x,x \ 1) * (x \ y). K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. K(x,x \ 1) * (x \ L(y,1 / x,x)) != z | (1 / x) * y = z. (1 / x) * y = (1 / (1 / x)) \ L(y,1 / x,x). (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. ((1 / x) * y) * K(x \ 1,x) != z | (1 / x) * (y * K(x \ 1,x)) = z. (1 / x) * (y * K(x \ 1,x)) = T((x \ 1) * y,K(x \ 1,x)). (1 / x) * (y * K(x \ 1,x)) != z | y * ((x \ 1) * (x * T(x \ 1,y))) = z. x * ((y \ 1) * (y * T(y \ 1,x))) = T((y \ 1) * x,K(y \ 1,y)). ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. ((1 / x) * T((1 / x) \ 1,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ (K(x \ 1,x) * y),(x \ 1) * y). x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. T(x \ 1,x * y) = T(x \ 1,((x \ 1) \ 1) * y). T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). x * y != y * ((1 / y) * (z * y)) | L(z,y,1 / y) = x. L(x,y,1 / y) = L(x,y,y \ 1). L(x,y \ 1,y) = L(x,y \ 1,(y \ 1) \ 1). L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). K(x \ 1,x) * y = (1 / x) \ ((x \ 1) * y). (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. x * T(x \ ((1 / y) \ x),y \ 1) != z | K(y,y \ 1) * ((1 / y) \ x) = z. K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. K(x,x \ 1) * y != (x \ 1) \ (K(x,x \ 1) * z) | (x \ 1) \ z = y. (x \ 1) \ y = (1 / x) \ (K(x,x \ 1) * y). (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. x * y != z \ (z * (x * u)) | u = y. x = (1 / y) \ ((y \ 1) * (K(y,y \ 1) * x)). (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. x * y != K(z,z \ 1) * ((1 / z) \ u) | x \ ((z \ 1) \ u) = y. ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). (1 / x) * y = (x \ 1) * (K(x,x \ 1) * y). (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. (1 / x) * y = K(x,x \ 1) * ((x \ 1) * y). K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. K(x,x \ 1) * y = (1 / x) * ((x \ 1) \ y). (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. x \ L(y,1 / x,x) = (x \ 1) * y. K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). L(x,1 / y,y) = L(x,y \ 1,y). L(x,y,y \ 1) = L(x,(y \ 1) \ 1,y \ 1). L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). (x \ 1) * y = L(((x \ 1) \ 1) \ y,x,x \ 1). L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). x != (y \ 1) \ (T(y,z) \ 1) | (y \ T(y,z)) \ 1 = x. (x \ T(x,y)) \ 1 = (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)). (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) != z | y = z. x = K(y \ 1,y) * (K(y,y \ 1) * x). K(x \ 1,x) * (K(x,x \ 1) * y) = y. x * y != (1 / z) \ ((z \ 1) * (K(z,z \ 1) * u)) | x \ u = y. K(x \ 1,x) \ y = K(x,x \ 1) * y. x * y != (1 / z) \ ((z \ 1) * (K(z,z \ 1) * (x * u))) | u = y. x = K(y,y \ 1) * (K(y \ 1,y) * x). K(x,x \ 1) * (K(x \ 1,x) * y) = y. x != K(y,y \ 1) * (y * z) | ((y \ 1) \ 1) * z = x. ((x \ 1) \ 1) * y = K(x \ 1,x) \ (x * y). K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. K(x \ 1,x) * y = K(x,x \ 1) \ y. K(x,x \ 1) \ y = K(x \ 1,x) * y. K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. T(x,K(x,x \ 1) * y) = T(x,y). K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. x * y != K(z,z \ 1) * (K(z \ 1,z) * u) | x \ u = y. ((x \ 1) \ 1) \ y = x \ (K(x \ 1,x) * y). x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. x * y = ((x \ 1) \ 1) * (K(x \ 1,x) * y). ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. (1 / (1 / x)) * y = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. K(x \ 1,x) * y = (1 / (1 / x)) * (x \ y). (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. K(x \ 1,x) \ (x * y) != z | R(x \ 1,x,y) \ y = z. R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. x / (((y \ 1) \ 1) * x) = R(y \ 1,y,x). R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). x != ((y \ z) \ z) * u | T(y,y \ z) * u = x. T(x,x \ 1) * y = R(x \ 1,x,y) \ y. R(x \ 1,x,y) \ y = T(x,x \ 1) * y. x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. x / (T(y,y \ 1) * x) = R(y \ 1,y,x). (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. (((x / y) \ 1) \ 1) \ x = T(y / x,(y / x) \ 1) * x. T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. (((x / y) \ 1) \ 1) * y = (((y / x) \ 1) \ 1) \ y. (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. R(x,1 / x,y) \ y = (x \ 1) * y. R(x,x \ 1,y) = R(x,1 / x,y). R(x,1 / x,y) = R(x,x \ 1,y). L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). L(R(x,y,z),x \ 1,x) != u | R(1 / (1 / x),y,z) = u. R(1 / (1 / x),x \ 1,y) = R(1 / (1 / x),1 / x,y). R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). R(1 / x,x,x \ y) != z | (x \ y) / y = z. ((1 / x) \ y) / y = R(1 / (1 / x),x \ 1,(1 / x) \ y). R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. R(T(x \ 1,x * y),x,y) != z | T((x * y) \ y,x) = z. T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. T((x * y) \ y,x) = (T(x,x \ 1) * y) \ y. (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). T(x,x \ y) = T(x,T(x,x \ 1) \ y). T(x,T(x,x \ 1) \ y) = T(x,x \ y). T(1 / (1 / x),x \ y) = T(1 / (1 / x),(1 / (1 / x)) \ y). T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). ((x \ 1) * T(x,y)) \ (x \ T(x,y)) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). x != ((y \ 1) * T(y,z)) \ (y \ T(y,z)) | K(T(y,z),y \ 1) = x. K(T(x,y),x \ 1) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = K(T(x,y),x \ 1). x * y != K(x \ 1,x) * z | ((x \ 1) \ 1) * y = z. K(x \ 1,x) * y != x * z | ((x \ 1) \ 1) * z = y. x * y != K(z \ 1,z) * (z \ u) | x \ (((z \ 1) \ 1) \ u) = y. x \ (((y \ 1) \ 1) \ x) = T(x \ (y \ x),y). T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). x = L(x,T(y,z) / y,K(y \ 1,y)). L(x,T(y,z) / y,K(y \ 1,y)) = x. L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. K(T(x,y),x \ 1) = K(T(x,y),1 / x). K(T(x,y),1 / x) = K(T(x,y),x \ 1). K(T(x,y),1 / x) != z | T(1 / (1 / x),y) \ T(x,y) = z. T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),x \ 1). T(x,y) \ K(T(x,y),x \ 1) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ T(x,y) != z | T(x,y) * ((T(x,y) / x) \ (1 / x)) = z. T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),x \ 1). T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | T(x * L(x \ 1,T(x,y),1 / x),y) = z. T(x * L(x \ 1,T(x,y),1 / x),y) = K(T(x,y),x \ 1). T(a(T(x,y),1 / x,x),y) = K(T(x,y),x \ 1). T(x,y) \ T(K(T(x,y),x \ 1),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ T(K(T(x,y),x \ 1),T(x,y)). T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ K(T(x,y),x \ 1). x != T(y,z) \ K(T(y,z),y \ 1) | T(1 / (1 / y),z) \ 1 = x. T(1 / (1 / x),y) \ 1 = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(1 / (1 / x),y) \ 1. T(1,T(x,y)) / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = T(1,T(x,y)) / T(x,y). T(1 / (1 / x),y) \ 1 = 1 / T(x,y). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). T(x,y) \ 1 = 1 / T((x \ 1) \ 1,y). 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). x != T((y \ z) \ z,u) | T(T(y,y \ z),u) = x. T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. ((x \ y) \ 1) \ 1 = T(((y / x) \ 1) \ 1,x). T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). 1 / (1 / (x \ y)) = T(1 / (1 / (y / x)),x). T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((y / x) \ 1) \ 1) * x. (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). x * y != z * (((z \ u) \ 1) \ 1) | (u * K(z \ u,u \ z)) / y = x. (x * K(y \ x,x \ y)) / y = ((x / y) \ 1) \ 1. (((x / y) \ 1) \ 1) * y != z | (((y / x) \ 1) \ 1) \ y = z. (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) != u | ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y) = u. ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). ((x \ 1) \ 1) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ 1) \ 1). (x \ y) * ((((x \ y) \ y) \ 1) \ 1) = ((x \ 1) \ 1) * (x \ y). (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. x * T((T(y,x) \ 1) \ 1,z) = (T(y,z) * x) * K(T(T(y,x),z),T(T(y,x),z) \ 1). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). x != y * T(T(z,y),u) | T(z,u) * y = x. T((x \ 1) \ 1,y) * z = (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. x != ((y \ 1) \ 1) * (y \ z) | K(y,y \ 1) * z = x. K(x,x \ 1) * y = (x \ y) * ((((x \ y) \ y) \ 1) \ 1). (x \ y) * ((((x \ y) \ y) \ 1) \ 1) = K(x,x \ 1) * y. T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. T(x,x \ 1) = T(x,((y * x) / y) \ 1). T(x,((y * x) / y) \ 1) = T(x,x \ 1). T(x,((y * x) / y) \ 1) != z | T(x,y / (y * x)) = z. T(x,y / (y * x)) = T(x,x \ 1). T(1 / (1 / x),y / (y * x)) = x. T(1 / (1 / x),(y / x) / y) = x. (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. 1 / (x * L(x \ 1,y,z)) = (x / (x * L(x \ 1,y,z))) / x. (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). x * (1 / T(y,z)) != y \ (y / T(y,z)) | T(K(y \ 1,y),z) = x. T(K(x \ 1,x),y) = K(x \ 1,x). T(K(x \ 1,x),y) != z | K(x \ (x / T(x,y)),x) = z. K(x \ (x / T(x,y)),x) = K(x \ 1,x). T(x,K(y \ 1,y)) = x. x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. T((x \ 1) * x,y) = K(x \ 1,x). T((x \ 1) * y,K(x \ 1,x)) != z | (1 / x) * (y * K(x \ 1,x)) = z. (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. T((x \ 1) * y,K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. x * y != T(z * x,K(u \ 1,u)) | T(z,x) = y. T(x \ 1,y) = (x \ 1) * (x * T(x \ 1,y)). (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). T(x,K(y,1 / y)) = x. K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. T(x,K(y,y \ 1)) = x. T(x,K(y \ z,z \ y)) = x. x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). T(K(x,x \ 1),y) = K(x,x \ 1). K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. x * y != T(K(z,z \ 1),u) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. x * K(y,y \ 1) != z * x | z = K(y,y \ 1). x * K(y,y \ 1) != z * x | K(y,y \ 1) = z. T(K(x,(y * x) \ y),z) = K(x,x \ 1). x * K(x,x \ 1) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) = x * K(x,x \ 1). K(x \ 1,x) * (y * K(x,x \ 1)) = y. x != (y * (z \ 1)) * K(z,z \ 1) | y * (1 / z) = x. x * (1 / y) = K(y,y \ 1) * (x * (y \ 1)). K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). x != (y * K(z \ 1,z)) * K(z,z \ 1) | y = x. x = K(y,y \ 1) * (x * K(y \ 1,y)). K(x,x \ 1) * (y * K(x \ 1,x)) = y. x != (y * (1 / (1 / z))) * K(z,z \ 1) | y * z = x. x * y = K(y,y \ 1) * (x * (1 / (1 / y))). K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. x != (y * z) * K(z,z \ 1) | y * T(z,z \ 1) = x. x * T(y,y \ 1) = K(y,y \ 1) * (x * y). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). K(x,x \ 1) * (K(x \ 1,x) * y) != z | y = z. x = (K(y \ 1,y) * x) * K(y,y \ 1). (K(x \ 1,x) * y) * K(x,x \ 1) = y. K(x,x \ 1) * ((x \ 1) * y) != z | (1 / x) * y = z. (1 / x) * y = ((x \ 1) * y) * K(x,x \ 1). ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. K(x,x \ 1) * ((1 / x) \ y) != z | (x \ 1) \ y = z. (x \ 1) \ y = ((1 / x) \ y) * K(x,x \ 1). ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. K(x,x \ 1) * (x * y) != z | ((x \ 1) \ 1) * y = z. ((x \ 1) \ 1) * y = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. K(x,x \ 1) * (x * y) != z | T(x,x \ 1) * y = z. T(x,x \ 1) * y = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. x * y != ((x * z) * K(u \ 1,u)) * K(u,u \ 1) | z = y. x = (K(y,y \ 1) * x) * K(y \ 1,y). (K(x,x \ 1) * y) * K(x \ 1,x) = y. ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). (K(x,x \ 1) * y) * x = y * T(x,x \ 1). (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. x * K(y \ 1,y) = (1 / (1 / y)) * (y \ x). (1 / (1 / x)) * (x \ y) = y * K(x \ 1,x). x * K(y \ 1,y) = ((y \ 1) \ 1) \ (y * x). ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). x * K(y \ 1,y) = (y \ 1) * ((1 / y) \ x). (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). x != (y * z) * K(z \ 1,z) | y * (1 / (1 / z)) = x. x * (1 / (1 / y)) = (1 / (1 / y)) * (y \ (x * y)). (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). T(x,y) = T(x,1 / (1 / y)). T(x,1 / (1 / y)) = T(x,y). T(x,1 / y) = T(x,y \ 1). T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). T(x,T(y,y \ 1)) = T(x,y). T(x,T(y \ 1,y)) = T(x,y \ 1). T(x,T(y \ z,z \ y)) = T(x,y \ z). 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,T((y \ 1) \ 1,z)) = T(x,T(y,z)). T(x,T(y \ 1,z)) = T(x,T(1 / y,z)). T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. x != K(y \ 1,y) * z | x * K(y,y \ 1) = z. K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). x * y != K(z,z \ 1) * (u * K(z \ 1,z)) | x \ u = y. T(x,x \ 1) \ y = x \ (y * K(x \ 1,x)). x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. x * y = ((x \ 1) \ 1) * (y * K(x \ 1,x)). ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. (K(x,x \ 1) * y) * x != z | K(x,x \ 1) * (y * x) = z. K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). (x \ y) * x = (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). ((1 / x) * y) * x = ((x \ 1) * y) * ((x \ 1) \ 1). ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. x != y * K(z \ 1,z) | K(z,z \ 1) * x = y. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). x * (1 / y) = (K(y,y \ 1) * x) * (y \ 1). (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). x != (y / z) * K(z \ 1,z) | y / ((z \ 1) \ 1) = x. x / ((y \ 1) \ 1) = K(y \ 1,y) * (x / y). K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). x != (y / z) * K(z \ 1,z) | y * T(y \ (y / z),z) = x. x * T(x \ (x / y),y) = K(y \ 1,y) * (x / y). K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). x * y != R(z,u \ 1,u) * K(u \ 1,u) | x \ ((z * (u \ 1)) * u) = y. K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). ((x * (y * z)) * K(u \ 1,u)) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). K(x \ 1,x) * T(y,x) = T(y * K(x \ 1,x),x). x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. K(x \ 1,x) * y = y * T(K(x \ 1,x),z). x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. x != ((y \ z) / z) * T(y,y \ 1) | y * ((y \ z) / z) = x. x * ((x \ y) / y) = K(x,x \ 1) * (((x \ y) / y) * x). K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). T(x,L(K(y,y \ 1),y,z)) = x. x * y != z * (u * K(w \ 1,w)) | x \ (z * (K(w \ 1,w) * u)) = y. (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) = a(x,y,z * K(u \ 1,u)). L(T(x,y),y,K(z \ 1,z)) = R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). (x \ 1) * y != z * K(x \ 1,x) | T(z / (1 / x),x \ 1) = y. T(x / (1 / y),y \ 1) = (1 / y) \ x. L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). x != R(1,y,z) | 1 = x. 1 = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. (x \ 1) * 1 = ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)). ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. x \ 1 = ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)). ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. (x \ 1) / (x \ R(x,y,z)) != u | u = (x \ R(x,y,z)) \ (x \ 1). (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. x * y != (z \ R(z,u,w)) \ (z \ 1) | x \ (R(z,u,w) \ 1) = y. (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. (R(x,y,z) / x) \ (1 / x) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). x != y * T(y \ 1,z) | K(z \ (z / y),z) = x. K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). T(x \ 1,y) * z != (x \ 1) \ T(x \ 1,y) | T(x,T(x \ 1,y)) = z. T(x,T(x \ 1,y)) = (x \ 1) \ 1. L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). T(x,x \ 1) = T(x,T(x \ 1,y)). T(x,T(x \ 1,y)) = T(x,x \ 1). K(x,x \ 1) * (((x \ y) / y) * x) != z | (x \ 1) \ ((x \ y) / y) = z. (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. ((x \ (1 / (1 / y))) * x) * (1 / y) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). x != y * z | R(y,z,z \ 1) / (z \ 1) = x. R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). x * y != (z * K(u,z)) * (z \ 1) | K(u,z) / y = x. K(x,y \ 1) / y = (1 / y) * K(x,y \ 1). (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. x / (y \ 1) = K(y,y \ 1) * (x / (1 / y)). K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). ((x \ 1) \ y) * (x \ 1) = ((1 / x) \ y) * (1 / x). ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). x / (y \ 1) = (x / (1 / y)) * K(y,y \ 1). (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). (x \ 1) * (y / (x \ 1)) = (1 / x) * (y / (1 / x)). (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). (x \ y) * x != (((x \ y) \ 1) \ 1) * z | y * (((y \ x) \ 1) \ 1) = z. (((x \ y) \ 1) \ 1) * z != (x \ y) * x | y * (((y \ x) \ 1) \ 1) = z. (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ 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,y \ 1) | (y \ 1) \ 1 = x. (x \ 1) \ 1 = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) = (x \ 1) \ 1. x != y * K(y,y \ 1) | T(y,y \ 1) = x. T(x,x \ 1) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) = T(x,x \ 1). (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). x * K(y,1 / y) = K(y,1 / y) * x. K(x,1 / x) * y = y * K(x,1 / 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). T(((1 / x) * y) * x,1 / x) != z | R(y,1 / x,x) = z. R(x,1 / y,y) = T(((1 / y) * x) * y,y \ 1). T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). (1 / x) * T(y,x \ 1) = y * (1 / x). ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. (x * y) / K(x,x \ 1) != z | x * (y / K(x,x \ 1)) = z. x * (y / K(x,x \ 1)) = (x * y) * K(x \ 1,x). (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). x != T(y,T(y \ 1,z)) | T(y,y \ 1) = x. T(x,x \ 1) = T(x,T(1 / x,y)). T(x,T(1 / x,y)) = T(x,x \ 1). R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). T(R(x,y,K(y,x)),z) * (y * K(y,x)) = (y * K(y,x)) * T((y * K(y,x)) \ (y * x),z). (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). R(R(x,y,K(y,x)),z,u) * (y * K(y,x)) = (y * K(y,x)) * R((y * K(y,x)) \ (y * x),z,u). (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). x \ R(x,y,y \ 1) = a(x,y,y \ 1). x \ R(x,y \ 1,y) = a(x,y \ 1,(y \ 1) \ 1). a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). x * a(x,y,y \ 1) = R(x,y,y \ 1). (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). x * y != T(x,x \ 1) * z | K(x,x \ 1) * z = y. K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). T(x \ 1,x) \ R(y,x,x \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). T(T(x,y) \ x,T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1). T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). T(x,T(y \ 1,y)) != z | T(x,y \ 1) = z. T(x * T(y,y \ 1),y \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). ((1 / (x \ y)) \ x) * (1 / (x \ y)) = T(y,(x \ y) \ 1) / (x \ y). T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). T(x * T(y,y \ 1),y \ 1) != z | T(y \ 1,y) \ R(x,y,y \ 1) = z. T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). x != R(y,1 / z,z) | R(y,z \ 1,z) = x. R((x \ 1) \ y,x \ 1,x) = T(x \ 1,x) \ R(y,x,x \ 1). T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) != z | T(T(x,y) \ x,T(x,x \ 1) \ 1) = z. T(T(x,y) \ x,T(x,x \ 1) \ 1) = R((x \ 1) \ (T(x,y) \ 1),x \ 1,x). R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). x != T(y,T(z \ 1,z)) | T(y,z \ 1) = x. T(T(x,y) \ x,x \ 1) = R((x \ 1) \ (T(x,y) \ 1),x \ 1,x). R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). T(x,R(1 / y,y,z)) = T(x,R(y \ 1,(y \ 1) \ 1,z)). T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). x != y * K(z \ y,y \ z) | z * (((z \ y) \ 1) \ 1) = x. x * (((x \ y) \ 1) \ 1) = K(x \ y,y \ x) * y. K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). x != y * K(y \ z,z \ y) | z * (1 / (1 / (z \ y))) = x. x * (1 / (1 / (x \ y))) = K(y \ x,x \ y) * y. K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). x * y != (z \ y) * ((((z \ y) \ y) \ 1) \ 1) | K(z,z \ 1) = x. K(x,x \ 1) = K((x \ y) \ y,y \ (x \ y)). K((x \ y) \ y,y \ (x \ y)) = K(x,x \ 1). (x * K(y,y \ 1)) / (y \ x) = ((x / (y \ x)) \ 1) \ 1. (x * K(y,y \ 1)) / (y \ x) = ((z / (y \ z)) \ 1) \ 1. ((x / (y \ x)) \ 1) \ 1 = (z * K(y,y \ 1)) / (y \ z). x != y | T(y,K(z \ 1,z)) = x. T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). x * (1 / (1 / (x \ y))) = (1 / (1 / (y / x))) * x. (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). 1 / (1 / R(1 / x,x,y)) = R(1 / (1 / (1 / x)),x,y). T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). R(T(1 / (1 / (1 / x)),x * y),x,y) = T(1 / (1 / (y / (x * y))),x * y). T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). x != R(T(y / (1 / (1 / z)),z * u),z,u) | (z * u) \ ((y * K(z,z \ 1)) * u) = x. (x * y) \ ((1 * K(x,x \ 1)) * y) = T(1 / (1 / (y / (x * y))),x * y). T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). T(1 / (1 / (x / y)),y) != z | 1 / (1 / (y \ x)) = z. 1 / (1 / ((x * y) \ y)) = (x * y) \ (K(x,x \ 1) * y). (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. x * ((x * y) \ y) = (1 / (1 / ((x * y) \ y))) * x. (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). ((x * y) \ y) \ 1 = 1 / T((x * y) \ y,x). 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. (((x * y) \ y) \ 1) \ 1 = T((x * y) \ y,x). T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. T(((1 / x) * y) \ y,1 / x) != z | ((x \ 1) * y) \ y = z. ((x \ 1) * y) \ y = ((((1 / x) * y) \ y) \ 1) \ 1. ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). x * y != z * (1 / (1 / (z \ y))) | K(y \ z,z \ y) = x. K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). K(T(x,y),(x * y) \ y) = K(x,x \ 1). ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). ((x * y) \ y) * z != (((x * y) \ y) * K(x,x \ 1)) * x | T(x,(x * y) \ y) = z. T(x,(x * y) \ y) = (x \ 1) \ 1. T(x / y,x \ y) = ((x / y) \ 1) \ 1. T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). 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). (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. T(x,y) \ K(x,x \ 1) != z | (T(x,y) \ x) / x = z. (T(x,y) \ x) / x = 1 / T(x,y). T(x,y) \ K(x,x \ 1) != z | (1 / x) * (T(x,y) \ x) = z. (1 / x) * (T(x,y) \ x) = 1 / T(x,y). T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. x * (T(x,y) \ (1 / x)) = 1 / T(x,y). x * y != T(z,u) \ K(z,z \ 1) | x \ (1 / T(z,u)) = y. (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. (1 / T(x,y)) * x = T(x,y) \ x. 1 / x != (T(y,z) \ y) / y | (T(y,z) \ y) \ y = x. (T(x,y) \ x) \ x = T(x,y). (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). (1 / x) * y != (x \ 1) * z | K(x \ 1,x) * z = y. K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. x * (T(1 / (1 / x),y) \ z) = ((x \ 1) \ 1) * (T(x,y) \ z). ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. K(x,x \ 1) * y = T(x \ 1,z) \ (T(1 / x,z) * y). T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * ((x \ 1) \ z) = T(1 / x,y) * ((1 / x) \ z). T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. x * y != (1 / z) * (T(z \ 1,u) * ((z \ 1) \ w)) | (T(1 / z,u) * w) / y = x. (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). x / T(x,y) = T(x,y) \ x. x * y != T(x,z) \ x | T(1 / T(x,z),x) = y. T(1 / T(x,y),x) = T(x,y) \ 1. T(x,y) \ x != z | x / T(x,y) = z. T(1 / T(x,y),x) != z | K(x \ 1,x) / T(x,y) = z. K(x \ 1,x) / T(x,y) = T(x,y) \ 1. x / y != y \ 1 | K(y \ 1,y) = x. K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. K(x \ y,y \ x) = K((x / y) \ 1,x / y). K((x / y) \ 1,x / y) = K(x \ y,y \ x). (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). x * K(y \ 1,y) != T(1 / (1 / y),z) | y * (T(y,z) / y) = x. x * (T(x,y) / x) = T(x,y). x \ T(x,y) = T(x,y) / x. T(x,y) / x = x \ T(x,y). (x \ T(x,y)) * x = T(x,y). (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). T(x,y) / x != z | (1 / x) * T(x,y) = z. (1 / x) * T(x,y) = x \ T(x,y). T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. 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 / y != z \ x | T(z,z \ x) = y. T(x,x \ T(x,y)) = x. R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. (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) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. T(x,y) * L(T(x,y) \ z,u,w) != v5 | T(x * L(x \ ((y * z) / y),u,w),y) = v5. T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). K(x,x \ T(x,y)) = 1. (x \ T(x,y)) * T(x,z) = T(x,z) * (x \ T(x,y)). T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). T(x,K(y \ (y / (x \ 1)),y)) = x. (((x * y) / x) \ y) \ y = (x * y) / x. (((x * y) / x) \ y) * ((x * y) / x) = y. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x). x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). L(x,y \ T(y,z),y) = (y \ T(y,z)) * (y * (T(y,z) \ x)). (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). K(x / y,y / x) = K(y \ x,x \ y). K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. K(x / y,(x / y) \ 1) = K(y \ x,x \ y). K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (1 / x) * (y * x) != z * ((x * ((1 / x) * (y * x))) / x) | L(y,x,x \ 1) \ ((1 / x) * (y * x)) = z. x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. T(x,y) * (x \ T(x,z)) = (x \ T(x,y)) * T(x,z). (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. R(x,x \ T(x,y),T(x,z)) = x. L(x,x \ T(x,y),x) = x. x * y != L(z,z \ T(z,u),z) | x \ z = y. (x \ T(x,y)) \ x = x * (T(x,y) \ x). K(x,T(x,y) / x) = 1. x * y != K(z,T(z,u) / z) | x \ 1 = y. x \ 1 = T(1 / x,T(x,y)). T(1 / x,T(x,y)) = x \ 1. T(1 / x,T(x,R(y,y \ 1,x))) != z | L(x \ 1,x,y \ ((x * y) / x)) = z. L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. T(x / (y * x),T(y,z)) = R(y \ 1,y,x). T(x \ 1,x) = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = T(x \ 1,x). T(x * T(x \ 1,x),y) = K(T(x,z) \ (T(x,z) / T(x,y)),T(x,z)). K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). x != T((y \ 1) * y,z) | K(y \ 1,y) = x. K(x \ 1,x) = K(T(1 / T(x,y),T(x,z)),T(x,z)). K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). K(x \ 1,x) / T(x,y) = T(1 / T(x,y),T(x,z)). T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). x != K(y \ 1,y) / T(y,z) | T(y,z) \ 1 = x. T(x,y) \ 1 = T(1 / T(x,y),T(x,z)). T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). K(x \ 1,T(x,y)) = K(x \ 1,x). R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. L(x \ 1,x,T(y,x) \ y) = x \ 1. T(x,x / (y * x)) = T(x,x / (x * y)). R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). T(x,y \ ((x * y) / x)) = x. (x \ ((y * x) / y)) \ y = y * (T(y,R(x,x \ 1,y)) \ y). x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. T(x,T(y,x) \ y) = x. T(T(x,y) \ x,y) = T(x,y) \ x. (T(x,y) \ x) * y = y * (T(x,y) \ x). (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). (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. x != (T(y,z) \ y) * z | z * (T(y,z) \ y) = x. x * (T(y,x) \ y) = (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x). (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. K(K(x,y),T(z,y) \ z) = 1. K(x \ T(x,y),T(z,y) \ z) = 1. (x \ T(x,y)) \ 1 = 1 / (x \ T(x,y)). 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). R(x,y,z) \ R(T(x,x \ 1),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). x != R(y,z,u) \ R(T(y,y \ 1),z,u) | a(R(y,z,u),1 / y,y) = x. a(R(x,y,z),1 / x,x) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). R(a(R(x,y,z),1 / x,x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). (T(x,y) \ x) * T(x,y) = x. (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(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 * K(y,x) = K(y,x) * x. K(x,y) * y = y * K(x,y). x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). (K(x,y) * (y * z)) * a(K(x,y),y,z) = (y * K(x,y)) * z. R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). T(x,K(y,R(x,z,u))) = x. T(x,K(y,T(x,z))) = x. T(x,y) = T(T(x,y),K(z,x)). T(T(x,y),K(z,x)) = T(x,y). K(x,y) * T(y,z) = T(y,z) * K(x,y). T(x,y) * K(z,x) = K(z,x) * T(x,y). K(x,y) * L(y,z,u) = L(y,z,u) * K(x,y). L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). K(x,y) * y != z | y * K(x,y) = z. K(x,y) * R(y,z,u) = R(y,z,u) * K(x,y). R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). T(x,y \ T(y,x)) = x. T(x,x \ ((y * x) / y)) = x. K(x,y) * T(y,z) = (y * K(x,y)) * (y \ T(y,z)). (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). 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(K(x,y),T(y,z)) = K(x,y). K(K(x,y),T(y,z)) = 1. (T(x,y) \ K(z,x)) * T(x,y) = T((T(x,y) \ K(z,x)) * T(x,y),T(x,y)). T((T(x,y) \ K(z,x)) * T(x,y),T(x,y)) = (T(x,y) \ K(z,x)) * T(x,y). K(x \ T(x,y),T(y,z)) = 1. T(x \ T(x,y),T(y,z)) = x \ T(x,y). T(x,T(y,y \ 1)) != z | T(x,y) = z. T(x \ T(x,y),y) = x \ T(x,y). (x \ T(x,y)) * y = y * (x \ T(x,y)). x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). T(x,y) = T(T(x,y),K(z,R(x,u,w))). T(T(x,y),K(z,R(x,u,w))) = T(x,y). x != (1 / y) * (y * z) | L(z,y,1 / y) = x. L(x \ T(x,y),y,1 / y) = R((1 / y) * ((x * y) / x),y,y \ x). R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. ((x * y) / x) / y = y \ ((x * y) / x). ((x * y) / x) / y != z | (1 / y) * ((x * y) / x) = z. (1 / x) * ((y * x) / y) = x \ ((y * x) / y). x * (((y * x) / y) / x) = (y * x) / y. R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ (((x / y) * R(y,z,u)) / (x / y)). R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). ((x * y) / x) * z != y \ ((x * y) / x) | T(1 / y,(x * y) / x) = z. T(1 / x,(y * x) / y) = x \ 1. R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). R(x \ ((y * z) / y),x,z \ y) != u | T(T(y,z) / (x * (z \ y)),x) = u. T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). T(T(x,y) / x,y) = L(x \ T(x,y),y,1 / y). L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). x != T(y \ T(y,z),z) | y \ T(y,z) = x. x \ T(x,y) = L(x \ T(x,y),y,1 / y). L(x \ T(x,y),y,1 / y) = x \ T(x,y). x * y != L(z \ T(z,u),u,1 / u) | (z \ T(z,u)) / y = x. (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. R(1 / x,x,y \ T(y,x)) = 1 / x. R(1 / x,x,y * T(y \ 1,x)) = 1 / x. R(1 / x,x,K(y,x)) = 1 / x. R(1 / x,x,y) != z | y / (x * y) = z. K(x,y) / (y * K(x,y)) = 1 / y. (1 / x) \ K(y,x) = x * K(y,x). (1 / x) * (x * K(y,x)) = K(y,x). (1 / x) \ y != z | ((x \ 1) \ y) * K(x \ 1,x) = z. ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). x \ K(y,x \ 1) = (x \ 1) * K(y,x \ 1). (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). (x \ 1) * (x * K(y,x)) = K(x \ 1,x) * K(y,x). K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). R(x,y,z) \ R(u / (u / x),y,z) = R(u / (u / x),y,z) / R(x,y,z). R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). R(1 / (1 / x),y,z) / R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. x * T(x \ 1,R(x,y,z)) = R(x,y,z) \ R(1 / (1 / x),y,z). R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. K(x,y) * R(y,z,u) != R(y,z,u) * w | K(x,y) = w. R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). T(K(x,y),L(y,z,u)) = K(x,y). (x * K(T(y,x),x)) / x != z | L((T(y,x) * (y \ x)) / x,x,y) = z. L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). x / T(x,y) != z | K(x \ (x / ((y \ x) / T(x,y))),x) = z. K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. (T(x,y) \ x) * x = x * (T(x,y) \ x). T(x \ 1,T(x,y) \ x) = x \ 1. ((1 / x) * (T(x,y) \ x)) * x = R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x). R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. T(T(x,y) \ x,x \ 1) = T(x,y) \ x. T(T(x,y) \ x,x \ 1) != z | R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = z. R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. L(x \ y,x,T(x,z) \ x) = (x * (T(x,z) \ x)) \ ((T(x,z) \ x) * y). (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). R(x,y,K(x \ 1,x)) = x. x != y * ((1 / T(y,z)) * K(y \ 1,y)) | T(y,z) \ y = x. T(x,y) \ x = (x * (1 / T(x,y))) * K(x \ 1,x). (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. (1 / x) * (T(x,y) \ x) = (x \ 1) * (x * (1 / T(x,y))). (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). ((1 / x) * (T(x,y) \ x)) * x = L((1 / T(x,y)) * x,x \ 1,x). L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. L(T(x,y) \ x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). ((1 / x) * (T(x,y) \ x)) * x != z | R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = z. R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). R(1 / x,y,K(x,x \ 1)) = 1 / x. R(1 / x,y,z) = R(R(1 / x,y,z),u,K(x,x \ 1)). R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). x != y \ R(y,z \ 1,z) | a(y,1 / z,z) = x. a(x,1 / y,y) = a(x,y \ 1,(y \ 1) \ 1). a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). x != ((y / z) * (z / y)) * (1 / (z / y)) | y / z = x. x / y = ((y / x) * (x / y)) * ((y / x) \ 1). ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. x * y != z / (u \ z) | u / y = x. x / (((x \ y) / y) \ 1) = ((x \ y) / y) * (y / (x \ y)). ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). ((x \ y) / y) * x = x / (((x \ y) / y) \ 1). x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). ((x \ y) / y) * R(x,z,u) = R(x,z,u) / (((x \ y) / y) \ 1). R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(x \ 1,R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. (x \ (x / (1 / y))) * z = ((x \ (x / (y \ 1))) * z) * K(y \ 1,y). ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. x * y != z * (1 / (1 / (z \ (z / u)))) | (z / (1 / (1 / u))) / y = x. (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). x * (1 / (1 / (x \ y))) = x / (1 / (1 / (y \ x))). x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). x / L(y,y \ 1,x) = x * (1 / y). L(x,1 / x,y) = L(x,x \ 1,y). K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). L(x \ 1,x,y) = L(x \ 1,(x \ 1) \ 1,y). L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). x != K(y \ (y * z),u) | K(z,u) = x. K(T(x,x \ 1),y) = T(K(x,y),L(x \ 1,x,y) \ 1). T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). K(x \ (x / L(y \ 1,z,u)),x) != w | L(y \ T(y,x),z,u) = w. L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). K(x \ (x / L(y,z,u)),x) != w | L(y * T(y \ 1,x),z,u) = w. L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). L(x \ T(x,y),(x \ 1) \ 1,y) = K(x,y). L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) = K(x,y). L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). K(x,y) / (x \ 1) = x * K(x,y). (x * K(x,y)) * (x \ 1) = K(x,y). L(x,y,z / y) != u | z \ ((z / y) * (y * x)) = u. x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. K(x \ 1,y) = K(1 / x,y). K(1 / x,y) = K(x \ 1,y). L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). K(1 / x,(1 / x) \ (y / x)) != z | (T(y,1 / x) / x) \ (y / x) = z. (T(x,1 / y) / y) \ (x / y) = K(y \ 1,(1 / y) \ (x / y)). K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). K(T(x,x \ 1),y) = K(x,y). K(((x \ 1) * y) \ y,z) = K(((1 / x) * y) \ y,z). K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). x \ T((y \ 1) * (x / (y \ 1)),K(y \ 1,y)) = K(1 / y,x / (y \ 1)). x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). L(T(x,y) / x,x,y) = K(1 / (1 / x),y). L(T(x,y) / x,x,y) != z | (x * K(x,y)) / x = z. (x * K(x,y)) / x = K(1 / (1 / x),y). K(1 / (1 / x),y) = (x * K(x,y)) / x. K(1 / (1 / x),y) * x = x * K(x,y). T(K(1 / (1 / x),y),x) = K(x,y). T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). T(K(x,y),x) = K(T(x,x \ 1),y). K(T(x,x \ 1),y) = T(K(x,y),x). K(T(x,x \ 1),y) != z | K(x,y) = z. K(x,y) = T(K(x,y),x). T(K(x,y),x) = K(x,y). T(x,K(x,y)) = x. x * K(x,y) = K(x,y) * x. K(x,y) * x = x * K(x,y). x * L(K(x,y),z,u) = L(K(x,y),z,u) * x. L(K(x,y),z,u) * x = x * L(K(x,y),z,u). x * R(K(x,y),z,u) = R(K(x,y),z,u) * x. R(K(x,y),z,u) * x = x * R(K(x,y),z,u). K(x,K(x,y)) = 1. T(x,y) = T(T(x,y),K(x,z)). T(T(x,y),K(x,z)) = T(x,y). K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). K(x,y) * L(x,z,u) = L(x,z,u) * K(x,y). L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). K(x,y) * R(x,z,u) = R(x,z,u) * K(x,y). R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). T(K(x,y),R(x,z,u)) = K(x,y). T(K(x,y),T(x,z)) = K(x,y). K(T(x,y),K(x,z)) = 1. T(x,R(K(x,y),z,u)) = x. R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. (K(x * y,z) * y) * T(x,y) = (x * y) * R(K(x * y,z),y,T(x,y)). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). K(x,R(K(x,y),z,u)) = 1. R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). T(x,L(K(x,y),z,u)) = x. R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). K(1 / (1 / x),y) * x != z | (1 / x) \ K(1 / (1 / x),y) = z. (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). K(x,y) * x = (1 / x) \ K(x,y). (1 / x) \ K(x,y) = K(x,y) * x. K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). (x \ K(1 / x,y)) * ((x \ 1) \ 1) != z | K(x \ 1,y) = z. K(x \ 1,y / (x \ 1)) = K(x \ 1,y / (1 / x)). K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). K(x \ 1,y) = K(x \ 1,(y * (1 / x)) / (x \ 1)). K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). T(x / y,K(z,y \ x)) = x / y. 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). T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. x * T(x \ 1,R(x,y,z)) = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = x * T(x \ 1,R(x,y,z)). x != T(y,z) \ K(y,1 / y) | y * (T(y,z) \ (1 / y)) = x. x * (T(x,y) \ (1 / x)) = x \ (T(x,y) \ ((x \ 1) \ 1)). x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). x \ (T(x,y) \ ((x \ z) \ z)) != u | ((x \ z) \ z) * (x \ (T(x,y) \ 1)) = u. ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). ((x \ 1) \ 1) * (x \ y) != z | K(x,x \ 1) * y = z. K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. (1 / x) \ (1 / T(x,y)) != z | T(x,y) \ x = z. T(x,y) \ x = (x \ T(x,y)) \ 1. (x \ T(x,y)) \ 1 = T(x,y) \ x. (x \ T(x,y)) \ 1 != z | 1 / (x \ T(x,y)) = z. 1 / (x \ T(x,y)) = T(x,y) \ x. (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. x \ 1 != T(y,z) \ y | (T(y,z) \ y) \ 1 = x. (T(x,y) \ x) \ 1 = x \ T(x,y). (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). ((x / y) \ (y \ x)) \ 1 = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). (x * (T(y,z) \ y)) * (y \ T(y,z)) = R(x,T(y,z) \ y,(T(y,z) \ y) \ 1). R(x,T(y,z) \ y,(T(y,z) \ y) \ 1) = (x * (T(y,z) \ y)) * (y \ T(y,z)). R(x,T(y,z) \ y,y \ T(y,z)) = (x * (T(y,z) \ y)) * (y \ T(y,z)). (x * (T(y,z) \ y)) * (y \ T(y,z)) = R(x,T(y,z) \ y,y \ T(y,z)). 1 / (x \ ((y * x) / y)) = T(y,R(x,x \ 1,y)) \ y. T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). (x \ (y * T(y \ x,z))) \ 1 = T((x \ y) \ 1,z) \ ((x \ y) \ 1). T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. K(x,y) \ 1 = T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1). T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. L(x \ 1,x,K(y,x) \ 1) = x \ 1. T(x,K(y,x) \ 1) = x. (K(x,y) \ 1) * y = y * (K(x,y) \ 1). (K(x,y) \ y) / (K(x,y) \ 1) = (K(x,y) \ 1) \ (K(x,y) \ y). L(x \ 1,x,K(y,x) \ 1) = (x * (K(y,x) \ 1)) \ (K(y,x) \ 1). (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). L(x \ 1,x,K(y,x) \ 1) != z | (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = z. (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. R(T(x,y) \ x,x \ 1,x) != z | L(T(x,y) \ x,x \ 1,x) = z. L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). L(T(x,y) \ z,T(x,y),y) != u | (x * y) \ (y * z) = u. (x * y) \ (y * x) = L((x * y) \ (y * x),x \ 1,x). L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). K(x,y) = L((y * x) \ (x * y),y \ 1,y). L((x * y) \ (y * x),x \ 1,x) = K(y,x). L(K(x,y),y \ 1,y) = K(x,y). (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. 1 / (x \ ((y * x) / y)) != z | T(y,R(x,x \ 1,y)) \ y = z. T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. x * y != T(z,R(u,u \ 1,z)) \ z | x \ (((z * u) / z) \ u) = y. x \ (((x * y) / x) \ y) = T(x,R(y,y \ 1,x)) \ 1. T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). x * (((x * y) / x) \ y) = (y \ ((x * y) / x)) \ x. (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). (x * (T(y,x) \ y)) \ x = y \ T(y,x). x / (y \ T(y,x)) = x * (T(y,x) \ y). (x * (T(y,x) \ y)) * (y \ T(y,x)) = x. (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). x \ (y \ T(y,x)) = (x * (T(y,x) \ y)) \ 1. (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). (x * (y \ T(y,x))) \ x = T(y,x) \ y. (x * (y \ T(y,x))) * (T(y,x) \ y) = x. (T(x,y) \ x) \ y = y * (((y * T(x,y)) / y) \ T(x,y)). x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. x * (y \ T(y,x)) = (T(y,x) \ y) \ x. (T(x,y) \ x) \ y = y * (x \ T(x,y)). (T(x,y) \ x) * (y * (x \ T(x,y))) = y. x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). x / K(y,x) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). x * (K(y,x) \ 1) = x / K(y,x). (x * (T(y,z) \ y)) * (y \ T(y,z)) != u | R(x,T(y,z) \ y,y \ T(y,z)) = u. R(x,T(y,x) \ y,y \ T(y,x)) = x. (x * y) / x = R((x * y) / x,T(z,y) \ z,z \ T(z,y)). R((x * y) / x,T(z,y) \ z,z \ T(z,y)) = (x * y) / x. R(x,T(y,z) \ y,y \ T(y,z)) != u | (x * (T(y,z) \ y)) * (y \ T(y,z)) = u. (((x * y) / x) * (T(z,y) \ z)) * (z \ T(z,y)) = (x * y) / x. T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). T(x,x \ (y \ T(y,x))) = T(x,x \ 1). T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). T(x,x \ K(y,x)) = T(x,x \ 1). x != T(y,y \ 1) | y * K(y,y \ 1) = x. x * K(x,x \ 1) = T(x,x \ K(y,x)). T(x,x \ K(y,x)) = x * K(x,x \ 1). K(x,y) / T(y,y \ 1) = y \ K(x,y). (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. (x \ K(y,x)) * x = K(y,x) * K(x \ 1,x). K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. x * (K(y,x) / x) = K(y,x) * K(x,x \ 1). K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). (x * (y \ T(y,x))) * (T(y,x) \ y) != z | x = z. x = R(x,y \ T(y,x),T(y,x) \ y). R(x,y \ T(y,x),T(y,x) \ y) = x. R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. R(x,K(y,x),K(y,x) \ 1) = x. x * y != R(z,K(u,z),K(u,z) \ 1) | x \ z = y. (x * K(y,x)) \ x = K(y,x) \ 1. (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). a(R(x,y,z),1 / x,x) \ 1 = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | x = z. x = R(x,K(x,x \ 1),y). R(x,K(x,x \ 1),y) = x. R(1 / x,K(x \ 1,x),y) = 1 / x. (1 / x) * T(R(1 / x,K(x \ 1,x),y) \ 1,z) = R((1 / x) * T((1 / x) \ 1,z),K(x \ 1,x),y). (1 / x) * T((1 / x) \ 1,y) = R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). x != (1 / y) * T((1 / y) \ 1,z) | y \ T(y,z) = x. x \ T(x,y) = R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. x * (K(y \ 1,y) * z) != u | x * (z * K(y \ 1,y)) = u. (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. x != R(R(y,z,u),w,v5) * (z * u) | (R(y,w,v5) * z) * u = x. (R(x,y,z) * u) * K(u,x) = (u * K(u,x)) * R((u * K(u,x)) \ (u * x),y,z). (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). x != T(R(y,z,u),w) * (z * u) | (T(y,w) * z) * u = x. (T(x,y) * z) * K(z,x) = (z * K(z,x)) * T((z * K(z,x)) \ (z * x),y). (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). x * ((K(x,y) \ y) * K(x,y)) = (T(y,K(x,y)) * x) * K(x,y). (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). (x * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). x * y != (z * x) * K(x,z) | z = y. x = (K(y,x) \ x) * K(y,x). (K(x,y) \ y) * K(x,y) = y. x / K(y,x) = K(y,x) \ x. (x * y) / (K(z,x) * y) = R(K(z,x) \ x,K(z,x),y). R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). x / K(y,x) != z | x * (K(y,x) \ 1) = z. x * (K(y,x) \ 1) = K(y,x) \ x. x / K(y,x) != z | x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = z. x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. x * y != z / K(u,z) | (K(u,z) \ z) / y = x. (K(x,y) \ y) / (K(x,y) \ 1) = y. x * y != z / K(u,z) | x \ (K(u,z) \ z) = y. x \ (K(y,x) \ x) = K(y,x) \ 1. (K(x,y) \ y) / (K(x,y) \ 1) != z | (K(x,y) \ 1) \ (K(x,y) \ y) = z. (K(x,y) \ 1) \ (K(x,y) \ y) = y. R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. x * y != K(z,x) \ x | y = K(z,x) \ 1. K(z,x) \ x != x * y | y = K(z,x) \ 1. K(x,y) \ y != y * z | K(x,y) \ 1 = z. (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). x * T(y,y \ z) != u | x * ((y \ z) \ z) = u. (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ T(y,y \ z). K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. K(x,y) \ ((y \ z) \ z) = (K(x,y) \ 1) * ((y \ z) \ z). (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. (K(x,y) \ 1) * ((y \ 1) \ 1) = R(K(x,y) \ y,y \ 1,y). R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). x != (K(y,z) \ 1) * ((z \ u) \ u) | K(y,z) \ ((z \ u) \ u) = x. K(x,y) \ ((y \ 1) \ 1) = R(K(x,y) \ y,y \ 1,y). R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). (T(x,x \ 1) * y) \ (y * ((x \ 1) \ 1)) = K(y,x). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. K(x,(y \ 1) \ 1) = K(x,y). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,y) = K(x,1 / (1 / y)). K(x,1 / (1 / y)) = K(x,y). K(x,T(y,1 / y)) = K(x,y). K(x,T(y / z,z / y)) = K(x,y / z). K(x,T(y \ z,z \ y)) = K(x,y \ z). K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). K(x,T(y \ 1,z)) = K(x,T(1 / y,z)). K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). K(x,T(y / z,y \ z)) = K(x,y / z). ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). K(R(x,y,z),1 / x) != u | x * ((x \ R(x,y,z)) / R(x,y,z)) = u. x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). x * ((x \ R(x,y,z)) / R(x,y,z)) != u | a(R(x,y,z),1 / x,x) = u. a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). R(K(R(x,y,z),x \ 1),y,z) != u | R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = u. R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). x * y != K(x,x \ 1) | 1 / x = y. 1 / R(x,y,z) = (R(x,y,z) / x) \ (1 / x). (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). (R(x,y,z) / x) \ (1 / x) != u | R(1 / (1 / x),y,z) \ 1 = u. R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). 1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z). R(x,y,z) \ 1 = 1 / R((x \ 1) \ 1,y,z). 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). (R(x,y,z) \ 1) \ 1 = R((x \ 1) \ 1,y,z). 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. x != R((y \ z) \ z,u,w) | R(T(y,y \ z),u,w) = x. R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). ((x * y) \ 1) \ 1 = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). ((((x / y) \ 1) \ 1) * y) * z = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) != u | ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = u. ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. 1 / T(x \ (y \ x),y) = (x \ (1 * (y \ x))) \ 1. (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). (x \ (y \ x)) \ 1 = 1 / T(x \ (y \ x),y). 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. ((x \ (y \ x)) \ 1) \ 1 = T(x \ (y \ x),y). T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. 1 / (x \ (y \ x)) = (x \ ((1 / (1 / y)) \ x)) \ 1. (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. x * y != z * (1 / (1 / (z \ (u \ z)))) | ((1 / (1 / u)) \ z) / y = x. ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). x * (1 / (1 / (x \ y))) = (1 / (1 / (x / y))) \ x. (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). ((1 / x) \ y) / y = 1 / (1 / (((x \ 1) \ y) / y)). 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) != z | T(x * y,x \ (1 / y)) = z. T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. (((x * y) \ 1) \ 1) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. K(x,R(T(y,y \ 1),z,u)) = K(x,R(y,z,u)). T(x,R(y \ 1,z,u)) = T(x,R(1 / y,z,u)). T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). K(R(x \ 1,y,z),u) = K(R(1 / x,y,z),u). K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). (((1 / x) * y) \ y) \ 1 = 1 / R(T(x,(1 / x) * y),1 / x,y). 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. K(x * y,z / (z / x)) != u | (x * ((z / (z / x)) * y)) \ ((x * y) * (z / (z / x))) = u. (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). K(x,((1 / y) \ x) / x) != z | ((1 / y) \ x) \ (x * R(1 / (1 / y),y \ 1,(1 / y) \ x)) = z. ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) != z | K(y * L(x,x \ 1,x),x) = z. K(x * L(y,y \ 1,y),y) = K(x * y,y). K(x * (1 / (1 / y)),y) = K(x * y,y). K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). K((1 / (1 / x)) * (x \ y),x) = K(y,x). K(K(x \ 1,x) * y,x) = K(y,x). K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). K(x,y) = K(K(y,y \ 1) * x,y). K(K(x,x \ 1) * y,x) = K(y,x). K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). K(x * y,x \ 1) = K((1 / (1 / x)) * y,x \ 1). K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). K(x,y \ 1) != z | K(x,1 / y) = z. K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). K(x \ ((1 / x) \ y),x) != z | ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = z. ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). K(x,T(((y \ 1) * z) \ z,u)) = K(x,T(((1 / y) * z) \ z,u)). K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). (K(x,y) \ y) \ 1 = y \ ((((y * x) \ y) \ 1) \ T(((y * x) \ y) \ 1,y)). x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. x \ K(y,x) = (K(y,x) \ x) \ 1. (K(x,y) \ y) \ 1 = y \ K(x,y). 1 / (x \ K(y,x)) = K(y,x) \ x. R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) != u | T((1 / (z * x)) * z,y) = u. T((1 / (x * y)) * x,y) = R((1 / (x * y)) * x,y,y \ 1). R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). (x * y) \ z != u | L(y \ (x \ z),y,x) = u. L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,y * (y \ z))). a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). a(x,x \ y,T(z,y)) = (L(z,x \ y,x) * y) \ (z * y). (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,y). (x \ (x * K(x,y))) \ x = x * (T(x,R(y,x,(y * x) \ x)) \ x). x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. (x \ (x * K(x,y))) \ 1 = T(x,R(y,x,(y * x) \ x)) \ x. T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. x * (K(x,y) \ 1) = K(x,y) \ x. x * y != K(z \ 1,R(z,u,w)) \ (z \ 1) | x \ ((z \ R(z,u,w)) / R(z,u,w)) = y. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. x * ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. K(R(x,y,z),x \ 1) = K(x \ 1,R(x,y,z)) \ 1. K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). x \ 1 != K(y,z) | K(y,z) \ 1 = x. K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). a(R(x,y,z),1 / x,x) \ 1 != u | R(T(x,x \ 1),y,z) \ R(x,y,z) = u. R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). x * T(x \ 1,R(x,y,z)) != u | R(x,y,z) \ R(1 / (1 / x),y,z) = u. R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). x != R(1 / (1 / y),z,u) | 1 / (1 / R(y,z,u)) = x. 1 / (1 / R(x,y,z)) = R(x,y,z) * K(x \ 1,R(x,y,z)). R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). x * y != 1 / (1 / x) | K(x \ 1,x) = y. K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) \ 1 = R(x,y,z) * (1 / R(x,y,z)). R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. x != K(y \ 1,R(y,z,u)) \ 1 | K(R(y,z,u),y \ 1) = x. K(R(x,y,z),x \ 1) = R(x,y,z) * (1 / R(x,y,z)). R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). K(x \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). L(x,y,K(z \ 1,R(z,y,x))) = x. L(x,y,K(z,R(z \ 1,y,x))) = x. (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). x * y != K(z,R(z \ 1,u,y)) * (u * y) | u * K(z,z \ 1) = x. x * K(y,y \ 1) = K(y,R(y \ 1,x,z)) * x. K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). x * y != y * K(z,z \ 1) | K(z,z \ 1) = x. K(x,x \ 1) = K(x,R(x \ 1,y,z)). K(x,R(x \ 1,y,z)) = K(x,x \ 1). K(x,x \ 1) * (y * z) = (y * K(x,x \ 1)) * z. (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). L(x,y,K(z,z \ 1)) = x. x != K(y,y \ 1) * z | z * K(y,y \ 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). x * y != z * ((1 / u) * u) | z / y = x. K(x,x \ 1) / y = (1 / y) * K(x,x \ 1). (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. x * y != (z * K(u,u \ 1)) * w | (K(u,u \ 1) * (z * w)) / y = x. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). x * y = K(z,z \ 1) * ((K(z \ 1,z) * x) * y). K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. K(x \ 1,x) * (y * z) = (K(x \ 1,x) * y) * z. (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). x \ K(y,y \ 1) = (K(y \ 1,y) * x) \ 1. (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). L(x,y,K(z \ 1,z)) = x. ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). (x / (1 / y)) * z = K(y \ 1,y) * ((x / (y \ 1)) * z). K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). L(x,y,z \ 1) = L(x,y,1 / z). L(x,y,1 / z) = L(x,y,z \ 1). L(a(x,1 / y,y),x,K(y \ 1,y)) != z | a(x,y \ 1,y) = z. a(x,y \ 1,y) = a(x,1 / y,y). a(x,1 / y,y) = a(x,y \ 1,y). L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) != z | a(x,y \ 1,y) = z. a(x,y \ 1,y) = x \ R(x,y \ 1,y). x \ R(x,y \ 1,y) = a(x,y \ 1,y). L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) != u | x \ (K(y \ 1,y) * z) = u. x \ (K(y \ 1,y) * z) = (x * K(y,y \ 1)) \ z. (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). x != L(y,z,K(u \ 1,u)) | x = y. L(x,y,K(z \ 1,z)) != u | u = x. L(x,y,K(z,1 / z)) = x. (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). L(x,y,K(z \ u,u \ z)) = x. (K(x \ 1,x) * ((y * z) * u)) / (z * u) != w | R(K(x \ 1,x) * y,z,u) = w. R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * (((y * z) * u) / (z * u)). K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). K(x \ 1,x) * R(y,z,u) = R(K(x \ 1,x) * y,z,u). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). K(x \ 1,x) * R(y * T(x,x \ 1),z,u) != w | (x \ R(x * y,z,u)) * x = w. (x \ R(x * y,z,u)) * x = R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u). R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. R(x * y,z,u) = (y \ R(y * x,z,u)) * y. (x \ R(x * y,z,u)) * x = R(y * x,z,u). (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). R((x \ y) * x,z,u) / x = x \ R(y,z,u). (x \ (y * (z \ 1))) * x = R((x \ (y / z)) * x,z,z \ 1). R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. (x \ (y * z)) * x = R((x \ (y / (1 / z))) * x,z \ 1,z). R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. R(x,y,z) / u = u \ R(u * (x / u),y,z). x \ R(x * (y / x),z,u) = R(y,z,u) / x. x * (R(y,z,u) / x) = R(x * (y / x),z,u). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | u = T(x,y). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. R((x \ (x / (1 / y))) * x,y \ 1,y) != z | (x * (y \ T(y,x))) * y = z. (x * (y \ T(y,x))) * y = (x \ (x * y)) * x. (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. x * y != R((z \ (u / (1 / w))) * z,w \ 1,w) | ((z \ (u * w)) * z) / y = x. ((x \ (y * z)) * x) / z = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. ((x \ (1 * y)) * x) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). ((x \ (y / (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. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) != u | R(y,z,K(x,x \ 1)) = u. R(x,y,K(z,z \ 1)) = R(x,K(z,z \ 1),y). R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,(y \ 1) \ 1)). R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). R(x,y,K(z \ 1,z)) = R(x,K(z \ 1,z),y). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) != u | x * T(y,z) = u. x * T(y,z) = K(y \ 1,y) * (x * T((y \ 1) \ 1,z)). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). x * (y * z) != (y * K(u \ 1,u)) * z | K(u \ 1,R(u,y,z)) = x. K(x \ 1,R(x,y,z)) = K(x \ 1,x). (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). (K(x \ 1,x) * y) / z != u | K(x \ 1,x) * (y / z) = u. K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) != u | (K(z,z \ 1) * x) \ y = u. (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). L(x \ y,x,z) != u | (z * x) \ (z * y) = u. (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. K(x,x \ 1) / y = K(x,x \ 1) * (1 / y). K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). (1 / x) / y = K(x,x \ 1) * ((x \ 1) / y). K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. x \ y = (x * K(z \ 1,z)) \ (y * K(z \ 1,z)). (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. ((1 / x) * y) \ z = ((x \ 1) * y) \ (K(x \ 1,x) * z). ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. L(K(x,y),y * x,1 / y) != z | L(x,y,y \ 1) \ ((1 / y) * (x * y)) = z. L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). L(x \ y,x,z / y) != u | ((z / y) * x) \ z = u. ((1 / x) * y) \ 1 = L(y \ x,y,x \ 1). L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. L(x,y,z) = L(x,y,(z \ 1) \ 1). L(x,y,(z \ 1) \ 1) = L(x,y,z). L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). (x * T(1 / x,y)) \ (x * z) = L(T(1 / x,y) \ z,T(x \ 1,y),x). L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. x * y = (y * (x \ T(x,y))) * x. (x * (y \ T(y,x))) * y = y * x. (x * y) / x = y * (x \ T(x,y)). x * (y \ T(y,x)) = (y * x) / y. x / y = (y \ x) * (y \ T(y,y \ x)). (x \ y) * (x \ T(x,x \ y)) = y / x. x * y != y * T(z,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 * x) / y) = y \ T(y,x). x * y != (z * R(u,z,z \ 1)) / z | x \ ((z * u) * (z \ 1)) = y. R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). x * y != (z * T(u,z)) / z | x \ u = y. T(x,y) \ x = y \ T(y,T(x,y)). x * y != ((z / u) * u) / w | x \ (z / w) = y. x \ (y / (y / x)) = (y / x) \ T(y / x,x). (x / y) \ T(x / y,y) = y \ (x / (x / y)). x * (y \ T(y,z)) != (u * z) / u | ((u * z) / u) * (T(y,z) \ y) = x. ((x * y) / x) * (T(x,y) \ x) = y. (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 != (z * x) / z | ((z * x) / z) / x = y. ((x * y) / x) / y = x \ T(x,y). ((x * y) / x) * (y \ 1) = x \ T(x,y). x * (y * T(y \ 1,x)) = ((y \ 1) * x) / (y \ 1). ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). ((x * y) / x) \ y = T(x,y) \ x. (T(x,y) \ x) * ((x * y) / x) = y. (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). (x / y) \ (y \ x) = T(y,y \ x) \ y. T(x,x \ y) \ x = (y / x) \ (x \ y). ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). x \ T(x,y) = T(y,T(x,y)) \ y. T(x,T(y,x)) \ x = y \ T(y,x). ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). (x \ T(x,y)) \ y = T(y,T(x,y)). (x * (T(x,T(y,x)) \ x)) * y = y * x. K(x,(x / y) / x) = x \ T(x,y \ 1). x * ((y * (x \ 1)) / y) != z | (y * ((x \ y) / y)) / (x \ y) = z. (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. T(x,x / (x * y)) = T(x,y \ 1). T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). (x * ((x / y) / x)) * y = T(x,y \ 1). T(x,x / (x * y)) != z | T(x,x / (y * x)) = z. T(x,x / (y * x)) = T(x,y \ 1). T(x,x / (x * y)) != z | x * K(x,(x / y) / x) = z. x * K(x,(x / y) / x) = T(x,y \ 1). T(x,x / (x * (y \ x))) != z | x * K(x,y / x) = z. x * K(x,y / x) = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = x * K(x,y / x). x * y != T(z,z / (z * u)) | T(z,u \ 1) / y = x. T(x,y \ 1) / y = x * ((x / y) / x). x \ T(y,x \ 1) = T(y * ((y / x) / y),x). T(x * ((x / y) / x),y) = y \ T(x,y \ 1). T(x,y \ 1) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z). T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)). T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). T(x,y) * z = x * ((x \ T(x,y)) * z). x * ((x \ T(x,y)) * z) = T(x,y) * z. L(x,y \ T(y,z),y) = x. (T(x,y) * z) / ((x \ T(x,y)) * z) = x. x * y != T(x,z) * u | T(x,z) * (x \ u) = y. T(x,y) * (x \ z) = (x \ T(x,y)) * z. (x \ T(x,y)) * z = T(x,y) * (x \ z). x * y != T(x,z) * (x * 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 * z) = x \ T(x,y). (x \ T(x,y)) \ z = x * (T(x,y) \ z). (x \ T(x,y)) \ (T(x,y) * z) != u | u = x * z. (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. x * y != L(z,u \ T(u,w),u) | x \ z = y. x \ y = T(x,y) \ (y * (x \ T(x,y))). T(x,y) \ (y * (x \ T(x,y))) = x \ y. L(x,T(y,T(z,y)) \ y,z) = x. L(x,T(y,z) \ y,(y * z) / y) = x. x * y != L(z,T(u,w) \ u,(u * w) / u) | x \ z = y. ((x * y) / x) \ z = y \ ((T(x,y) \ x) * z). x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. x * (((y * x) / y) \ z) != u | R(y \ T(y,x),x,((y * x) / y) \ z) \ z = u. R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. x * y != (z / u) * ((w / u) \ w) | z / y = x. x / (y * (x / y)) = T(y,x / y) \ y. T(x,y / x) \ x = y / (x * (y / x)). x * y = (T(y,x) \ y) * (y * x). (T(x,y) \ x) * (x * y) = y * x. K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. x != K(y,(y / z) / y) | y \ T(y,z \ 1) = x. x \ T(x,R(y,z,u) \ 1) = R(x \ T(x,y \ 1),z,u). x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). T(x \ T(x,y),z) = K(x,(x / T(y \ 1,z)) / x). K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). x \ T(x,R(y \ 1,y,z) \ 1) = T(x \ T(x,(z / (y * z)) \ 1),T(y,u)). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). x != y \ T(y,R(z,u,w) \ 1) | R(y \ T(y,z \ 1),u,w) = x. R(x \ T(x,(y \ 1) \ 1),y,z) = T(x \ T(x,(z / (y * z)) \ 1),T(y,u)). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). K(x,y) \ y = T(y,T(L(x \ 1,x,y) \ 1,y)). T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. T(x,y) \ ((x * y) / x) = x \ y. x = T(y,y * x) \ ((y * (y * x)) / y). T(x,x * y) \ ((x * (x * y)) / x) = y. T(x,y) * (x \ y) = (x * y) / x. T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. T(x / y,T(y,x)) = y \ x. T(x,x \ y) \ (y / x) = x \ (x \ y). T(x \ y,y) * z != ((x \ y) * y) / (x \ y) | T(x,T(x \ y,y)) = z. T(x,T(x \ y,y)) = (x \ y) \ y. x * (y \ z) != (y * z) / y | T(y,y / (y / z)) = x. T(x,x / (x / y)) = T(x,y). T(x,x * y) * y = (x * (x * y)) / x. (x * (x * y)) / x = T(x,x * y) * y. ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). x * ((x * y) / x) = T(x,y) * y. T(x,y) * y = x * ((x * y) / x). L(((x * y) / x) / y,y,x) = K(T(x,y),y). T(x,y) \ (x * ((x * y) / x)) = y. T(x,x \ y) * (x \ y) = x * (y / x). T(x,T(y,x)) * T(y,x) = x * y. T(x,T(x \ y,z)) * T(x \ y,z) = x * T(y / x,z). ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) = L(z,y \ 1,(x * y) / x). R(x \ T(x,y),x,z) = x \ T(x,y). R((x / y) \ T(x / y,z),x / y,y) != u | (y * T(y \ x,z)) / x = u. (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). x * T(x \ 1,y) = ((x \ z) / z) \ T((x \ z) / z,y). ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). (x * T(x \ 1,y)) \ y = T(y,T((x \ z) / z,y)). T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. x != (y * T(y \ 1,z)) \ z | T(z,T(y \ 1,z)) = x. T(x,T(y \ 1,x)) = T(x,T((y \ z) / z,x)). T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). (x / T(y,x)) * y = T(x,T(y,x)). x * (x * y) = T(x,T(y,x)) * (y * x). T(x,T(y,x)) * (y * x) = x * (x * y). x * y != T(z,T(x,z)) | T(z / T(x,z),x) = y. T(x / T(y,x),y) = T(y,x) \ x. T(x,x / (x / y)) != z | (x / y) * ((x * y) / x) = z. (x / y) * ((x * y) / x) = T(x,y). T(x,x / (x / (x * y))) != z | T(x,x / (1 / y)) = z. T(x,x / (1 / y)) = T(x,x * y). x * y != T(z,z / (z / u)) | x \ T(z,u) = y. (x / y) \ T(x,y) = (x * y) / x. T(x,x / y) = T(x,y \ x). T(x,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). R(T(x,x * y),y,x) = (x / T(y,x)) * y. x != (y / T(z,y)) * z | T(y,T(z,y)) = x. T(x,T(y,x)) = R(T(x,x * y),y,x). R(T(x,x * y),y,x) = T(x,T(y,x)). x * T(y,T(x,y)) = L(R(y,x,y),x,y) * x. L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). x * y != y * T(z,u) | T((y * z) / y,u) = x. T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. T(x,x / (y \ 1)) != z | T(x,y * x) = z. T(x,y * x) = T(x,(y \ 1) \ x). T(x,(y \ 1) \ x) = T(x,y * x). (x \ T(x,y)) * (z * K(x \ 1,x)) != u | ((x \ 1) * T(x,y)) * z = u. ((x \ 1) * T(x,y)) * z = T(x,y) * (x \ (z * K(x \ 1,x))). T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) != u | T(1 / x,y) * ((x \ 1) \ z) = u. T(1 / x,y) * ((x \ 1) \ z) = (((x \ 1) \ 1) * T(x \ 1,y)) * z. (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). (x * T(1 / x,y)) * z = T(1 / x,y) * ((x \ 1) \ z). T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. (x \ 1) * y = T(1 / x,z) * ((x * T(1 / x,z)) \ y). T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). (x \ T(x,y)) * z != u | T(x,y) * (x \ z) = u. T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. T(T(x,y) \ x,x * y) = K(y,x). (x * y) / (y * x) = T(y,x) \ y. (x * y) / (y * x) != z | z = T(y,x) \ y. (x * y) / (y * x) != z | T(y,x) \ y = z. T(T(x,x \ y) \ x,y) = K(x \ y,x). (x * (y / x)) / y = T(y / x,x) \ (y / x). T(x / y,y) \ (x / y) = (y * (x / y)) / x. (x \ y) \ (y / x) = (x * (y / x)) / y. (x * (y / x)) / y = (x \ y) \ (y / x). R(x,x \ T(x,y),z) = x. x * T(T(x,y) \ y,z) = T(y / T(x,y),z) * x. T(x / T(y,x),z) * y = y * T(T(y,x) \ x,z). T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. R(x,x \ (K(y,x) \ x),z) = x. R(x,K(y,x) \ 1,z) = x. x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. K(x,1 / x) * (y * z) = (K(x,1 / x) * y) * z. (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). K(x,1 / x) / y = K(x,1 / x) * (1 / y). K(x,1 / x) * (1 / y) = K(x,1 / x) / y. T(x \ y,x) = T(x \ y,T(x,y)). T(x \ y,T(x,y)) = T(x \ y,x). x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). T(x,T(y,y \ x)) = T(x,y). T(x * y,T(x,y)) = T(x * y,x). a(x,1 / y,y) != z | a(x,y \ 1,(y \ 1) \ 1) = z. a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). L(x \ T(x,y),y,x) = K(x,(x * y) / x). R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. x \ T(y,x \ 1) = y * ((x \ y) / y). T(x,x \ y) = T(x,T(x \ y,y)). T(x,T(x \ y,y)) = T(x,x \ y). ((x * y) / x) * z != T(x,y) | T(x / y,(x * y) / x) = z. T(x / y,(x * y) / x) = y \ x. x \ T(x * y,y) = ((x * y) * y) / (x * y). ((x * y) * y) / (x * y) = x \ T(x * y,y). T(x,y \ x) = T(x,(1 / y) * x). T(x,(1 / y) * x) = T(x,y \ x). T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). (x \ y) * (x \ ((x \ y) \ y)) = y / x. x * y != x * z | T(z * (T(z,T(x,z)) \ z),x) = y. T(x * (T(x,T(y,x)) \ x),y) = x. x * K(x,(y \ x) / x) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. x * y != (z * (z * y)) / z | x = T(z,z * y). (z * (z * y)) / z != x * y | x = T(z,z * y). (x * (x * y)) / x != z * y | T(x,x * y) = z. x * (x * T(T(x,x \ (y * x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. T(x,y) * (x \ z) != u | (x \ T(x,y)) * z = u. (x \ T(x,x \ y)) * y = x * (y / x). (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). x * (x * (y / x)) = T(x,x \ y) * y. T(x,x \ y) * y = x * (x * (y / x)). x * (y * ((x \ y) / y)) = T(y,x \ 1). x * y != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. ((x \ 1) \ y) * (x \ 1) = (x * y) * ((x \ (x * y)) / (x * y)). (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). (x / y) \ T(x,(x / y) \ 1) = x * (y / x). x \ T(y,x \ 1) = y * R(1 / x,x,x \ y). x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). (x * y) * (y / (x * y)) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != z | (x \ y) * x = z. (x \ y) * x = ((x \ 1) * y) * (y / ((x \ 1) * y)). ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. ((x \ y) * x) / y = ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1). ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. ((x * y) / x) * (y \ 1) != z | x \ T(x,y) = z. ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. ((x \ 1) * y) \ T((x \ 1) * y,x) != z | L(K(x \ y,x),y,x \ 1) = z. L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. L(K(x,y),y * x,y \ 1) = ((y \ (y * x)) * y) / (y * x). ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). (x * y) / (y * x) = L(K(x,y),y * x,y \ 1). L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(y,((x \ 1) \ y) / y). K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). x != ((1 / y) \ z) \ ((1 / y) \ T(z,y)) | K(y \ ((y \ 1) \ z),y) = x. K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). x * y != (((z / u) \ 1) \ u) * ((z / u) \ 1) | x \ (z * (u / z)) = y. x \ (y * (x / y)) = K(((y / x) \ 1) \ x,(y / x) \ 1). K(((x / y) \ 1) \ y,(x / y) \ 1) = y \ (x * (y / x)). T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. ((x \ y) \ y) * y = x * (x * (y / x)). x * y != T(z,z \ u) * u | (z * (z * (u / z))) / y = x. (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). x * (x * T(T(x,T(y,x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. T(x \ T(x * y,y),x) = R(y,x,y). (x \ T(x * y,y)) * x = x * R(y,x,y). T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). L(x \ T(x,y),y,x) = K(T(x,y),y). x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. K(x \ y,x) = K(x \ y,T(x,y)). K(x \ y,T(x,y)) = K(x \ y,x). K(x,T(y,y * x)) = K(y \ (y * x),y). K(x \ (x * y),x) = K(y,T(x,x * y)). K(x,y) = K(x,T(y,y * x)). K(x,T(y,y * x)) = K(x,y). (x \ y) \ (y / x) = x \ ((x \ y) \ y). (x \ y) \ (y / x) != z | (x * (y / x)) / y = z. (x * (y / x)) / y = x \ ((x \ y) \ y). (x * ((y \ x) / x)) / (y \ x) != z | x \ T(x,y \ 1) = z. x \ T(x,y \ 1) = x \ ((x \ (y \ x)) \ (y \ x)). x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). T(x,x \ (y \ x)) = T(x,y \ 1). T(x * y,(x * y) \ y) = T(x * y,x \ 1). T(x,x \ y) = T(x,(x / y) \ 1). T(x,(x / y) \ 1) = T(x,x \ y). (x \ y) / T(y,x \ 1) = y \ (x \ y). (x \ (y \ x)) * T(x,y \ 1) = y \ x. T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. (x / y) \ T(x,x \ y) = x * (y / x). (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). ((x * y) \ y) \ y = T(x * y,x \ 1). T(x * y,x \ 1) = ((x * y) \ y) \ y. x / T(y * x,y \ 1) = (y * x) \ x. T(x,(y \ 1) \ 1) != z | T(x,y) = z. T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. T((x \ 1) * y,x) * z != y | T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = z. T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). L(x \ T(x,T(y,x)),T(y,x),x) = R(K(x,y),x,z). R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). R(x,y,K(x \ 1,x)) != z | x = z. K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). L(x \ T(x,T(y,x)),T(y,x),x) = K(x,y). L(x \ T(x,T(y,x)),T(y,x),x) != z | R(K(x,y),x,u) = z. R(K(x,y),x,z) = K(x,y). L(x \ T(x,y),y,x) != z | K(T(x,y),y) = z. K(T(x,T(y,x)),T(y,x)) = K(x,y). K(x,y) * (x * z) = (K(x,y) * x) * z. (K(x,y) * x) * z = K(x,y) * (x * z). L(K(x,y),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). L(x,y,K(y,z)) = x. (x * K(x,y)) * z = K(x,y) * (x * z). x != y | z \ (z * y) = x. x \ (x * y) = L(y,z,K(z,u)). L(x,y,K(y,z)) = u \ (u * x). x != L(y,z,K(z,u)) | x = y. L(x,y,K(y,z)) != u | u = x. T(x \ T(x,y),z) \ 1 = T(x,T(y \ 1,z) \ 1) \ x. T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. K(T(x,y),y) = K(x,(x * y) / x). K(T(x,y),y) * z = K(x,(x * y) / x) * z. x = K(T(y,z),z) * (K(y,(y * z) / y) \ x). K(T(x,y),y) * (K(x,(x * y) / x) \ z) = z. x = K(y,(y * z) / y) * (K(T(y,z),z) \ x). K(x,(x * y) / x) * (K(T(x,y),y) \ z) = z. ((x \ y) / y) \ T((x \ y) / y,z) != u | x * T(x \ 1,z) = u. x * T(x \ 1,y) = y \ ((x \ y) / ((x \ y) / y)). x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). (x / y) \ (y \ x) = y \ (x / (x / y)). (x / y) \ (y \ x) != z | T(y,y \ x) \ y = z. T(x,x \ y) \ x = x \ (y / (y / x)). x * (T(x,x \ y) \ x) = y / (y / x). x / (x / y) = y * (T(y,y \ x) \ y). T(x \ (y / (y / x)),y) = K(x \ y,x). T(x,y \ 1) \ x = x \ ((y \ x) / ((y \ x) / x)). x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. x \ ((y \ x) / ((y \ x) / x)) != z | y * T(y \ 1,x) = z. x * T(x \ 1,y) = T(y,x \ 1) \ y. T(x,y \ 1) \ x = y * T(y \ 1,x). K(x \ (x / y),x) = T(x,y \ 1) \ x. x != ((y * z) \ y) * T(((y * z) \ y) \ 1,y) | K(z,y) = x. K(x,y) = T(y,((y * x) \ y) \ 1) \ y. T(x,((x * y) \ x) \ 1) \ x = K(y,x). x \ T(x,y) = T(y,(x \ 1) \ 1) \ y. T(x,(y \ 1) \ 1) \ x = y \ T(y,x). (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). K(x \ (x / y),x) \ x = T(x,y \ 1). K(x \ y,x) \ x = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = K(x \ y,x) \ x. T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. x * K(x,y / x) = K(x \ y,x) \ x. K(x \ y,x) \ x = x * K(x,y / x). K(x \ y,x) \ 1 = K(x,y / x). K(x,y) \ 1 = K(y,(y * x) / y). K(x,(x * y) / x) = K(y,x) \ 1. K(x,y) = K(T(y,x),x) \ 1. K(T(x,y),y) \ 1 = K(y,x). K(T(x,y),y) * ((K(y,x) \ 1) \ z) = z. (K(x,y) \ 1) * (K(T(y,x),x) \ z) = z. K(T(x,y),y) * K(y,x) = 1. K(T(x,y),y) \ 1 != z | z = K(y,x). K(T(x,y),y) \ 1 != z | K(y,x) = z. x != (K(y,z) \ 1) * u | K(T(z,y),y) \ x = u. (K(x,y) \ 1) * z != u | K(T(y,x),x) \ u = z. R(x,K(x,y),z) = x. T(x,y) = R(T(x,y),K(x,z),u). R(T(x,y),K(x,z),u) = T(x,y). L(x,y,z) * (K(x,u) * w) = (L(x,y,z) * K(x,u)) * w. (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). R(x,y,z) * (K(x,u) * w) = (R(x,y,z) * K(x,u)) * w. (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). x * (y * K(x,y)) = (x * K(x,y)) * y. (x * K(x,y)) * y = x * (y * K(x,y)). (x * K(x,y)) * z != u | K(x,y) * (x * z) = u. K(x,y) * (x * y) = x * (y * K(x,y)). K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. L(x,K(y,z),L(y,u,w)) = x. (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). 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 != K(y \ (y / z),y) | T(y,z \ 1) \ y = x. T(x,T(y,z) \ 1) \ x = T(T(x,y \ 1) \ x,z). T(x,T(y \ 1,z) \ 1) \ x != u | T(x \ T(x,y),z) \ 1 = u. T(x \ T(x,y),z) \ 1 = T(T(x,(y \ 1) \ 1) \ x,z). T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. T(T(x,y) \ x,z) = T(x \ T(x,y),z) \ 1. T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). 1 / T(T(x,y) \ x,z) != u | T(T(x,y) \ x,z) \ 1 = u. T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). T(R(x,y,y \ 1) \ ((y * x) * (y \ 1)),z) \ 1 = T(((y * x) * (y \ 1)) \ T((y * x) * (y \ 1),y),z). T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. T(x,y) \ x = y \ T(y,x). x != (y / z) \ T(y / z,z) | z \ (y / (y / z)) = x. x \ (y / (y / x)) = T(x,y / x) \ x. T(x,y / x) \ x = x \ (y / (y / x)). T(x,y) * (y \ T(y,x)) = x. x \ y != z \ T(z,y) | T(y,T(z,y)) = x. T(x,T(y,x)) = T(x,y). x * (T(x,y) \ x) = (y * x) / y. (x * y) / x = y * (T(y,x) \ y). x * ((T(y,x) \ y) * z) = T(x,y) * z. (T(x,y) \ x) * z = T(y,x) * (y \ z). T(x,y) * (x \ z) = (T(y,x) \ y) * z. T(x \ T(x,y),y * x) = K(x,y). T(x,y) \ (x * y) = T(y,x). T(x,T(y,x)) != z | R(T(x,x * y),y,x) = z. R(T(x,x * y),y,x) = T(x,y). T(x,T(y,x)) != z | (x / T(y,x)) * y = z. (x / T(y,x)) * y = T(x,y). T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. x * (T(x,y) \ y) = T(y,x). T(x,T((y \ z) / z,x)) != u | T(x,T(y \ 1,x)) = u. T(x,T(y \ 1,x)) = T(x,(y \ z) / z). T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. T(x,x \ y) \ y = T(x \ y,x). T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. ((x \ y) \ y) \ y = T(x \ y,x). T(x \ y,x) = ((x \ y) \ y) \ y. T(x,y) != T(z,u) | T((y * z) / y,u) = x. T((T(x,y) * y) / T(x,y),x) = y. x * y != T(z,T(u,z)) | T(z,u) / y = x. T(x,y) / y = x / T(y,x). T(x,y) / (T(y,x) \ x) = y. x * y != T(z,T(u,z)) | x \ T(z,u) = y. (x / T(y,x)) \ T(x,y) = y. x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). T(T(x,y),z) = T(T(x,z),T(y,x)). T(T(x,y),T(z,x)) = T(T(x,z),y). T(x,T(T(y,x),z)) = T(x,T(y,z)). T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). x * T(y,T(x,y)) = y * x. T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). T(x,T(y,y * x)) = T(x,L(y,x,y)). (x * y) / T(y,x) = T(x,y). T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). T(x,y) * T(y,x) = x * y. T(x * (T(x,y) \ x),y) = x. T(x,y) * (y * x) = x * (x * y). (x * y) * T(x,y) = R(x,y,x) * (x * y). R(x,y,x) * (x * y) = (x * y) * T(x,y). x * (x * T(T(x,y) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. K(T(x,y),T(y,x)) = K(x,y). T(x,T(y,x)) != z | T(x,y) = z. T(x,y \ 1) = T(x,(y \ z) / z). T(x,(y \ z) / z) = T(x,y \ 1). T(x,y / (z * y)) = T(x,z \ 1). T(x,y / z) = T(x,(z / y) \ 1). T(x,(y / z) \ 1) = T(x,z / y). T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. x \ T(x,y) = R(x \ T(x,y),y,z). R(x \ T(x,y),y,z) = x \ T(x,y). (x \ T(x,y)) \ z = (T(x,y) \ x) * z. (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. x * y = (T(x,z) \ x) * (T(x,z) * y). (T(x,y) \ x) * (T(x,y) * z) = x * z. (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. x * (T(x,y) \ z) = (T(x,y) \ x) * z. (T(x,y) \ x) * z = x * (T(x,y) \ z). (T(x,y) \ x) \ z = T(x,y) * (x \ z). x * y != (T(z,u) \ z) * (T(z,u) * x) | T(z,x) = y. T(x,y) = ((x * y) / x) \ (T(x,y) * y). ((x * y) / x) \ (T(x,y) * y) = T(x,y). x * y != (T(z,u) \ z) * (T(z,u) * w) | x \ (z * w) = y. x \ (y * z) = ((y * x) / y) \ (T(y,x) * z). ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). x * (y * z) = T(x,T(y,x)) * (T(y,x) * z). T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). (x * y) * z != (x * y) * T(x,y) | T(R(x,y,x),x * y) = z. T(R(x,y,x),x * y) = T(x,y). ((x * y) * T(x,y)) / (x * y) = R(x,y,x). R(x,y,T(x,y)) = R(x,y,x). x \ T(y * x,y) = R(y,x,y). x * R(y,x,y) = T(y * x,y). L(R(x,y,x),y,x) = x. R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). x \ T(y * x,y) != z | z = R(y,x,y). x \ T(y * x,y) != z | R(y,x,y) = z. T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). L(R(x,y * x,x),y * x,x) != z | T(y \ T(y * x,x),T(y * x,x)) = z. T(x \ T(x * y,y),T(x * y,y)) = y. (x / y) * T(y,y \ x) = y * (x / y). R(x,y / z,z) != T(z,y / z) | T(z,y) = x. T(x,y) = T(x,x * (y / x)). T(x,x * (y / x)) = T(x,y). R(x,y,z) != T(z,y) | T(z,y * z) = x. T(x,y * x) = T(x,x * y). R(T(x,y),x \ y,x) = T(x,x \ y). T(x,(1 / y) * x) != z | T(x,y \ x) = z. T(x,y \ x) = T(x,x * (1 / y)). T(x,x * (1 / y)) = T(x,y \ x). R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). T(R(x,y,z),R(x,y,z) * u) = R(T(x,u * R(x,y,z)),y,z). T(x,(x \ y) * x) = T(x,y). T(T(x,x * y),z) = T(T(x,z),y * x). T(x,x * T(x \ y,z)) = T(x,x * T(y / x,z)). T(x,x * T(y / x,z)) = T(x,x * T(x \ y,z)). x * T(y,x * y) = L(y,x,y) * x. ((x * (y * x)) / x) / T(x,x * y) = y. x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. K(x,T(y,x * y)) = K(x,y). L(x,y,(y * x) / y) = L(x,y,x). T((x * y) / x,x * y) = L(y,x,y). x * T(y,x * y) != z | (y * (x * y)) / y = z. (x * (y * x)) / x = L(x,y,x) * y. ((x * (y * x)) / x) / y = L(x,y,x). L(x,y,x) \ ((x * (y * x)) / x) = y. T(L(x,y,x) * y,x) = y * x. T(x / T(y,x),z) * T(y,y * T(T(y,x) \ x,z)) = L(y,T(x / T(y,x),z),y) * T(x / T(y,x),z). T(x,y * x) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,y * x). (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). T(x * y,x) * T(x,y) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). 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 * y != T(z,x) | T(z / T(x,z),x) = y. T(x / T(y,x),y) = y \ T(x,y). T(x,y) / T(y,x) = x / T(T(y,x),x). (x / T(y,x)) * y != z | (x * (x * y)) / (y * x) = z. (x * (x * y)) / (y * x) = T(x,y). x / T(y \ x,y) = (y \ x) \ x. L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. x != T(y \ T(y * z,z),y) | R(z,y,z) = x. R(x,y,x) = T(y,y \ T(y * x,x)) \ T(y * x,x). T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,1 / (1 / x)). T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. T(x,y) * (x \ T(y,x)) = y. T(x,y) * z != y * x | T(T(y,x),T(x,y)) = z. T(T(x,y),T(y,x)) = T(y,x) \ (x * y). T(x,y) \ (y * x) = T(T(y,x),T(x,y)). (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). L(x,T(y \ 1,z),y) = T(z,y \ 1) * (z \ (y * (T(y \ 1,z) * x))). T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). (x \ T(x,y)) \ z = T(y,x) * (y \ z). T(x,y \ 1) * (x \ (y * z)) != u | y * (T(x,y \ 1) * (x \ z)) = u. x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). (x \ y) \ y = T(x,y / x). T(x,y / x) = (x \ y) \ y. T(x,y / x) != z | R(T(x,y),y / x,x) = z. R(T(x,y),y / x,x) = T(x,x \ y). (x * (y / x)) / T(x,x \ y) = y / x. (x * (y / x)) * x = y * T(x,x \ y). T(x,T(y,x / y)) = T(x,y). ((x / y) * ((y \ x) \ x)) / (x / y) = y. T(x,y) = (x \ (y * x)) \ (y * x). (x \ (y * x)) \ (y * x) = T(x,y). (x * (y / x)) * x = y * ((x \ y) \ y). ((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). T(x,y) = T(T(z / (z / x),y),x \ z). T(T(x / (x / y),z),y \ x) = T(y,z). (x \ y) * x = (y / (y / x)) * (x \ y). (x / (x / y)) * (y \ x) = (y \ x) * y. T(x / (x / (x / y)),y) = x / y. T(x / (x / y),x) = L(y,y \ x,y). T(L(x,x \ y,x),z) = T(T(y / (y / x),z),y). T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). T(x / y,x) = L(y \ x,(y \ x) \ x,y \ x). L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). x * T(x / (x / y),x) = y * ((y \ x) * y). ((x * y) / x) * T(x,y) = T(x,y) * y. T(T(x,y) * y,x) = x \ ((x * y) * T(x,y)). x \ ((x * y) * T(x,y)) = T(T(x,y) * y,x). T(T(x,y) * y,x) / (x \ (x * y)) = R(x,y,y \ (x * y)). T(T(x,y) * y,x) / y = R(x,y,y \ (x * y)). T(T(x,y) * y,x) / y = R(x,y,T(x,y)). R(x,y,T(x,y)) * y = T(T(x,y) * y,x). R(x,y,x) * y = T(T(x,y) * y,x). T(T(x,y) * y,x) = R(x,y,x) * y. T(x * T(y / x,z),x) = R(x,T(x \ y,z),x) * T(x \ y,z). R(x,T(x \ y,z),x) * T(x \ y,z) = T(x * T(y / x,z),x). ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. L(x,y \ z,T(y,z)) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). L(x,y \ z,y) = L(x,y \ z,T(y,z)). L(x,y \ z,T(y,z)) = L(x,y \ z,y). T(x,y) * (T(y,x) * z) = x * (y * z). T(x,y) * (x \ (T(y,x) * z)) = y * z. x * ((x \ 1) * y) = L(y,T(x \ 1,z),x). L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). L(x,y \ 1,y) = L(x,T(y \ 1,z),y). L(x,T(y \ 1,z),y) = L(x,y \ 1,y). L(T(1 / x,y) \ z,T(x \ 1,y),x) != u | (x * T(1 / x,y)) \ (x * z) = u. (x * T(1 / x,y)) \ (x * z) = L(T(1 / x,y) \ z,x \ 1,x). L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). x != T(1 / y,z) * ((y * T(1 / y,z)) \ u) | (y \ 1) * u = x. (x \ 1) * (x * y) = T((x \ 1) * (x * ((z * y) / z)),z). T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). (x \ 1) * (x * T(y,z)) = T((x \ 1) * (x * y),z). (x \ 1) * y = L((x \ 1) * y,K(x,x \ 1),z). L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). K(x \ 1,x) * (y * K(x,x \ 1)) = R(y,K(x \ 1,x),(1 / x) * z). R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). x != K(y \ 1,y) * (z * K(y,y \ 1)) | z = x. x = R(x,K(y \ 1,y),(1 / y) * z). R(x,K(y \ 1,y),(1 / y) * z) = x. R(x,K(y \ 1,y),z) = x. R(x,K(y \ 1,y),z) != u | R(x,z,K(y \ 1,y)) = u. R(x,y,K(z \ 1,z)) = x. T(x,y) = T(x,y * K(z \ 1,z)). T(x,y * K(z \ 1,z)) = T(x,y). R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) != u | y / (z * K(x \ 1,x)) = u. x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). R(x,y,K(z \ 1,z)) != u | x = u. R(x,y,K(z,1 / z)) = x. x * (y * K(z \ 1,z)) = (x * y) * K(z \ 1,z). (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). x \ K(y \ 1,y) = (x \ 1) * K(y \ 1,y). (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). R(x,y,K(1 / z,z)) = x. R(x,y,K(z,z \ 1)) = x. x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). x * (y * K(z \ 1,z)) != (x * y) * u | u = K(z \ 1,z). (x * y) * u != x * (y * K(z \ 1,z)) | u = K(z \ 1,z). (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. T(x,y * K(z,z \ 1)) = T(x,y). T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). T(x,y * (z \ 1)) = T(x,y * (1 / z)). T(x,y * (1 / z)) = T(x,y * (z \ 1)). T(x,y * (1 / (1 / z))) = T(x,y * z). T(x,K(y \ 1,y) * z) = T(x,z). T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). T(x,(y \ 1) * z) = T(x,(1 / y) * z). T(x,(1 / y) * z) = T(x,(y \ 1) * z). T(x,y * K(z,y)) = T(x,(y \ 1) \ K(z,y)). T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). T(x,y / (1 / z)) = T(x,y / (z \ 1)). T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). T(x,y * (1 / (1 / (y \ z)))) = T(x,z). T(x,T(y,y \ 1) * z) = T(x,y * z). x != y * K(z \ 1,z) | K(z \ 1,z) * y = x. K(x \ 1,x) * (y \ z) = y \ (K(x \ 1,x) * z). x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). x \ (y \ 1) = (x \ (1 / y)) * K(y \ 1,y). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). x \ y = (x \ ((y \ 1) \ 1)) * K(y \ 1,y). (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). x != y * (z * K(u \ 1,u)) | y * (K(u \ 1,u) * z) = x. x * (K(y \ 1,y) * z) = K(y \ 1,y) * (x * z). K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. x \ K(y \ 1,y) = K(y \ 1,y) * (x \ 1). K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. a(x,y,z * K(u \ 1,u)) = ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u). ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = a(x,y,z * K(u \ 1,u)). (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). L(x,y,z) * K(u \ 1,u) = L(K(u \ 1,u) * x,y,z). K(x \ 1,x) * L(y,z,u) = L(K(x \ 1,x) * y,z,u). L(x,y,z) * K(u \ 1,u) = L(x * K(u \ 1,u),y,z). K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). L(x,y,z) * K(u,u \ 1) = L(x * K(u,u \ 1),y,z). K(x,x \ 1) * L(y,z,u) = L(y * K(x,x \ 1),z,u). K(x \ 1,x) * L(y * K(x,x \ 1),z,u) != w | (x \ L(x * (y / x),z,u)) * x = w. (x \ L(x * (y / x),z,u)) * x = L(y,z,u). x * (L(y,z,u) / x) = L(x * (y / x),z,u). (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). (x \ (y * z)) * x = L((x \ ((y \ 1) \ z)) * x,y \ 1,y). L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. (x \ (y \ (z * u))) * x = L((x \ ((z \ y) \ u)) * x,z \ y,z). L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). x * 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). L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. x \ (y * K(z \ 1,z)) != u | (K(z,z \ 1) * x) \ y = u. (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). K(x \ 1,x) * (y \ z) = (K(x,x \ 1) * y) \ z. (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). ((x \ 1) \ y) \ z = (((1 / x) \ y) \ z) * K(x \ 1,x). (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. (x / (y \ 1)) \ z = ((x / (1 / y)) \ z) * K(y \ 1,y). ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). (((x \ 1) \ 1) * y) \ z = K(x \ 1,x) * ((x * y) \ z). K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. ((1 / x) * y) \ z = K(x \ 1,x) * (((x \ 1) * y) \ z). K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. (x * ((y \ 1) \ 1)) \ z = K(y \ 1,y) * ((x * y) \ z). K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. R(x,y,1 / z) = R(x,y,z \ 1). x * (y * K(z,z \ 1)) = (x * y) * K(z,z \ 1). (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). x * (y * K(z,z \ 1)) != (x * y) * u | u = K(z,z \ 1). (x * y) * u != x * (y * K(z,z \ 1)) | u = K(z,z \ 1). (x * y) * z != x * (y * K(u,u \ 1)) | K(u,u \ 1) = z. L(K(x,x \ 1),y,z) = K(x,x \ 1). T(x,y * (z * K(u,u \ 1))) = T(x,y * z). x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). x * y != (z * (u * K(w \ 1,w))) * v5 | (K(w \ 1,w) * ((z * u) * v5)) / y = x. (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). x / (K(y \ 1,y) * z) != u | K(y,y \ 1) * (x / z) = u. K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). x * ((1 / (1 / y)) / x) = L(x * (y / x),y \ 1,y). L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). L(x,y,z) * K(u \ w,w \ u) = L(x * K(u \ w,(u \ w) \ 1),y,z). L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). L(x,y,z) * K(u \ w,w \ u) = L(x * K(u \ w,w \ u),y,z). K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). K(x,x \ 1) * L(x,y,z) != u | x * (L(x,y,z) * (1 / x)) = u. x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). x \ L((x \ 1) \ 1,y,z) != u | T(L(x,y,z) * (1 / x),x) = u. T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). (x \ L(x,y,z)) * x = L(x,y,z). L(x,y,z) / x = x \ L(x,y,z). (x \ L(x,y,z)) \ L(x,y,z) = x. (x \ L(x,y,z)) * T(x,u) = T(x,u) * (x \ L(x,y,z)). T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). x * y != T(z,u) * (z \ L(z,w,v5)) | x \ ((z \ L(z,w,v5)) * T(z,u)) = y. x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). K(x,x \ 1) * (y * z) != u | (y * K(x,x \ 1)) * z = u. (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). L(x,K(y,y \ 1),z) = x. L(x,y * (1 / y),z) = x. T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). L(K(x,x \ 1),y,z) != u | L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = u. L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). K(x \ 1,x) * (y / z) = y / (K(x,x \ 1) * z). x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). x \ (y \ 1) = K(y \ 1,y) * (x \ (1 / y)). K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). x \ (y / (1 / z)) = K(z \ 1,z) * (x \ (y / (z \ 1))). K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. a(x,y,z * K(u \ 1,u)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). a(x,y,z * K(u \ 1,u)) = 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) = a(x,y,K(u,u \ 1) * z). a(x,y,K(z,z \ 1) * u) = a(x,y,u). K(x,x \ 1) / y = 1 / (y * K(x \ 1,x)). 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. T(x,y \ z) = T(x,((y \ 1) \ 1) \ z). T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). T(x * y,(x \ 1) \ y) != z | x * y = z. (x \ 1) * y = T((x \ 1) * y,x \ y). T((x \ 1) * y,x \ y) = (x \ 1) * y. T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). K((x \ 1) * y,x \ y) = 1. T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). T(x,(y * (z \ 1)) \ u) = T(x,(y * (1 / z)) \ u). T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). T(x,y) = T(x,((z \ 1) * z) \ y). T(x,((y \ 1) * y) \ z) = T(x,z). x \ T(y,y \ 1) = (x \ y) * K(y,y \ 1). (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). x \ ((y \ 1) \ 1) = (x \ y) * K(y,y \ 1). (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). x \ y = (x \ (1 / (1 / y))) * K(y,y \ 1). (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). 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 \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). x * y != (z \ T(z,u)) \ (((z * u) / z) * w) | x \ (u * w) = y. T(x,y) \ (x * z) = x \ (((y * x) / y) * z). x \ (((y * x) / y) * z) = T(x,y) \ (x * z). (x \ T(x,x \ y)) \ y = (x \ y) * x. L(x,y \ 1,y) = L(x,y \ 1,(z * y) / z). L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). L(x,T(y,z) \ 1,y) = T(y,z) * ((T(y,z) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). L(x,T(y,z) \ 1,y) = L(x,T(y,z) \ 1,T(y,z)). L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). (x \ ((x \ y) \ y)) \ y = (x \ y) * x. x / ((y \ x) * y) = y \ ((y \ x) \ x). x != y \ ((y \ z) \ z) | (y * (z / y)) / z = x. (x * (y / x)) / y = y / ((x \ y) * x). L(T(x,y),x \ z,x) = T(T(z / (z / x),y),z). T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). a(R(x,y,z),u,x) = a(x,T(u,x),R(T(x,u),y,z)). a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). K(x,T(x \ y,y)) = K(x,x \ y). T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,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). T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. (x * (x * (y / x))) / x = T(x,y) * (y / x). ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. T((x * y) / x,L(x,y,x)) = y. T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). L(x,y,x) * T(y,x) = y * L(x,y,x). x * L(y,x,y) != z * T(x,y) | L(y,x,y) = z. x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. x != T(y,z * y) | T(y,y * z) = x. T(x,x * y) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,x * y). T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). R(T(x,x * y),y,T(x,x * y)) = T(x,y). x != T(y,(y \ z) * y) | T(y,z) = x. T(x,y) = T(x,(x \ y) * T(x,y)). T(x,(x \ y) * T(x,y)) = T(x,y). R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. a(1 / L(x,y,z),x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). L(K(x \ 1,x),y,z) = a(1 / L(x,y,z),x,x \ 1). a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). x * y != a(1 / L(z,u,w),z,z \ 1) | L(K(z \ 1,z),u,w) / y = x. L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). (x * (x * T(T(x,y) \ y,z))) / x = L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z). L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = (x * (x * T(T(x,y) \ y,z))) / x. T(x,y) = T(x,x \ T(x * y,y)). T(x,x \ T(x * y,y)) = T(x,y). K(x,y) = K(x,x \ T(x * y,y)). K(x,x \ T(x * y,y)) = K(x,y). K(x,x \ T(x * y,y)) != z | (x * R(y,x,y)) \ T(x * y,y) = z. (x * R(y,x,y)) \ T(x * y,y) = K(x,y). T(x * y,x) \ T(y * x,x) = K(y,x). T(x * y,x) \ T(y * x,x) != z | K(x \ T(x * y,x),x) = z. K(x \ T(x * y,x),x) = K(y,x). K(x \ T(y,x),x) = K(x \ y,x). K(T(x \ T(y,x),z),x) = K(T(x \ y,z),x). (x \ y) \ T(y,x) = R(x,x \ y,x). R(x,x \ y,x) = (x \ y) \ T(y,x). x != R(y,z,K(u,1 / u)) | x = y. R(x,y,K(z,1 / z)) != u | u = x. x * (y * K(z,1 / z)) = (x * y) * K(z,1 / z). (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). x * (y * K(1 / z,z)) = (x * y) * K(1 / z,z). (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). x != L(y,z * (1 / z),u) | x = y. L(x,y * (1 / y),z) != u | u = x. L(x,K(y,z),y) = x. x != L(y,K(z,u),z) | x = y. L(x,K(y,z),y) != u | u = x. T(x,y) \ x != z | z = y \ T(y,x). T(x,y) \ x != z | y \ T(y,x) = z. K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). (T(x,y) / y) \ x = T(y,x). (x / T(y,x)) * y != z | z = T(x,y). (x / T(y,x)) * y != z | T(x,y) = z. x * (y / T(x,y)) = T(x * (y / x),x). T(x * (y / x),x) = x * (y / T(x,y)). x * (T(x,y) \ y) != z | z = T(y,x). x * (T(x,y) \ y) != z | T(y,x) = z. (x / T(T(y,x),z)) \ T(x,T(y,z)) = T(y,z). T(x / T(y,x),z) * T(y,x) = T(y,x) * T(y \ T(x,y),z). (T(x,y) \ y) * x = T((x \ y) * x,x). T((x \ y) * x,x) = (T(x,y) \ y) * x. 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). T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = x * T(T(y,x) / x,z). T(x,x * T(T(y,x) / x,z)) = T(x,x * T(T(x,y) \ y,z)). T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(T(y,x) / x,z)). K(T(x,y) \ y,x) = K(x \ y,x). (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). T(x,y) * T(T(y,x),x * y) = (T(y,x) * (x * y)) / T(y,x). (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). T(x * y,T(y,x)) = T(x * y,y). (T(x,y) / y) \ ((x / T(y,x)) * z) = z. x \ ((x * y) / x) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ ((y * x) / y). T(x \ T(x,y \ 1),z) != u | x \ T(x,T(y,z) \ 1) = u. x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). T(x,T(T(y,x),z \ T(y,x))) = T(x,T(y,T(y,x) * (z \ 1))). ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). (x * (y / x)) / x = y / (y / (y / x)). R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). T(x,y) * (T(y,x) / x) = x * (y / x). T(x,y) * (y / T(x,y)) = x * (y / x). x * (y / x) != T(x,y) * z | y / T(x,y) = z. T(x,y) * z != x * (y / x) | y / T(x,y) = z. x * y != z * ((u \ w) \ w) | (z * T(u,u \ w)) / y = x. (x * T(y,y \ x)) / y = y * (x / y). (x * ((y \ x) \ x)) * K(y,y * (x / y)) = y * (y * (x / y)). (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). x * y != (z * (u / z)) * z | (u * T(z,z \ u)) / y = x. (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. (x * T(y,z)) / T(y,u) != w | (x / T(y,u)) * T(y,z) = w. (x / T(y,z)) * T(y,y \ x) = ((y * (x / y)) / T(y,z)) * y. ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). ((x * (y / x)) / T(x,y)) * x != z | T(x * (y / x),x) = z. T(x * (y / x),x) = (y / T(x,y)) * T(x,x \ y). (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). x != T(y * (z / y),y) | y * (T(z,y) / y) = x. x * (T(y,x) / x) = (y / T(x,y)) * T(x,x \ y). (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). x != T((y * (z / u)) / y,u) | (y * (u \ z)) / y = x. (x * (y \ x)) / x = R(x / y,x / (x / y),x / y). R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. K(x * y,x) = K(y * x,T(x,y)). K(x * y,T(y,x)) = K(y * x,y). T(x,y) \ T(x * y,y) = R(y,x,y). (x \ (y * x)) \ T(y * x,x) = R(x,y,x). T(x,1 / (1 / y)) != z | T(x,y) = z. T((1 / (1 / x)) \ y,x) = T(1 / (1 / x),x \ y) \ y. T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). T(1 / (1 / (x / y)),y) \ x = T((1 / (1 / (x / y))) \ x,x / y). T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. T(x,(y \ 1) * z) != u | T(x,(1 / y) * z) = u. T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. T(x,(1 / y) * z) != u | T(x,(y \ 1) * z) = u. T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. K(x,T((1 / y) * z,y) \ z) = K(x,T(((y \ 1) * z) \ z,(1 / y) * z)). K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). K(x,T((y \ 1) * z,y) \ z) = K(x,T((1 / y) * z,y) \ z). K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). T(x,T(T(y,x),z)) != u | T(x,T(y,z)) = u. T(x,T(y,z \ T(y,x))) = T(x,T(y,T(y,x) * (z \ 1))). T(x,T(y,T(y,x) * (z \ 1))) = T(x,T(y,z \ T(y,x))). T(x,y) * T(y,y \ x) = R(y,y \ x,y) * T(x,y). R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,T(y,x) * (z \ 1))) = T(y,T(y,x) * (z \ 1)). (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,z \ T(y,x))) = T(y,T(y,x) * (z \ 1)). (x / T(T(y,x),z)) \ T(x,T(y,z)) != u | T(y,z) = u. T(x,y \ T(x,z)) = T(x,T(x,z) * (y \ 1)). T(x,T(x,y) * (z \ 1)) = T(x,z \ T(x,y)). T(x,y * (z \ 1)) != u | T(x,y * (1 / z)) = u. T(x,T(x,y) * (1 / z)) = T(x,z \ T(x,y)). (x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u. (x * (y \ x)) / (x / y) = (y \ x) * y. ((x \ y) * x) * (y / x) = y * (x \ y). (x * (y \ x)) / (x / y) != z | (x / y) * (x / (x / y)) = z. (x / y) * (x / (x / y)) = (y \ x) * y. (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). (x * (y / x)) * (y / (y / x)) = y * x. (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. (x * y) * ((y * x) / y) = (y * x) * x. x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. x * (x / (x / y)) = ((y \ x) * y) * y. ((x \ y) * x) * x = y * (y / (y / x)). ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). x * (x / (x / T(y,x))) != z * T(y,x) | (y \ T(x,y)) * T(y,x) = z. x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). T(x,R(x * K(y,x),z,u)) = x. x != T(T(y,z),T(u,y)) | T(T(y,u),z) = x. T(T(x,y),y) = T(y,x) \ (x * y). T(x,y) \ (y * x) = T(T(y,x),x). (x * y) / T(T(x,y),y) = T(y,x). L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). L(x,y,z) = L(x,T(y,z),T(z,y)). L(x,T(y,z),T(z,y)) = L(x,y,z). L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. L(T(x,y) \ z,T(x,y),T(y,x)) != u | (y * x) \ (T(y,x) * z) = u. (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). L(x,y \ z,T(y,z / y)) = L(x,z / y,y). (x * y) \ T(x,y) = L(T(y,x) \ 1,y,x). L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). a(x,y,z) = a(T(x,y),T(y,x),z). a(T(x,y),T(y,x),z) = a(x,y,z). x != a(y,T(z,y),R(T(y,z),u,w)) | a(R(y,u,w),z,y) = x. a(R(x,y,z),u,x) = a(T(x,T(u,x)),T(T(u,x),x),R(T(x,u),y,z)). a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). T(T(x,y) \ y,z) = T(x \ T(y,x),z). K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). K(x \ 1,x) * T(y,x) != z | T(y * K(x \ 1,x),x) = z. T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). T(x,y) * T(y,y \ x) = R(y,x / y,y) * T(x,y). R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). x * T(y,z) != T(y,z) * T(z,z \ y) | R(z,z \ y,z) = x. R(x,x \ y,x) = R(x,y / x,x). R(x,y / x,x) = R(x,x \ y,x). R(x,(x * y) / x,x) = R(x,y,x). R(x,x \ y,x) * y = (x * (y / x)) * x. ((x / y) * (y / x)) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). x != ((y / z) * (z / y)) * ((y / z) \ 1) | z / y = x. x / y = R(1 / (y / x),y / x,(y / x) \ T(y,y \ x)). R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. R(1 / (x / y),x / y,x * (y / x)) = y / x. (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). (x / T(y,x)) * z != y * (T(x,y) / y) | T(y,y \ x) = z. T(x,x \ y) = T(x,x \ T(y,x)). T(x,x \ T(y,x)) = T(x,x \ y). T(x,y) / T(y,y \ x) = y \ T(x,y). T(x,T(x,y) \ y) = T(x,x \ y). T(x,T(x,y) \ y) != z | (y * x) / T((x \ y) * x,x) = z. (x * y) / T((y \ x) * y,y) = T(y,y \ x). T(x * y,x) / T(x,y) = x \ T(x * y,x). x * (x * T(T(x,y) \ y,z)) = (x * T(x \ y,z)) * x. L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = ((x * T(x \ y,z)) * x) / x. x != (y * z) / z | y = x. x * T(x \ y,z) = L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z). L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = x * T(x \ y,z). x != T(y,L(z,y,z)) | T(y,z) = x. T(x,y) = T(x,T(y,y * x)). T(x,T(y,y * x)) = T(x,y). T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). x != L(y,z,y) * T(z,y) | z * L(y,z,y) = x. x * L(y,x,y) = T(x,y) * T(y,y * x). T(x,y) * T(y,y * x) = x * L(y,x,y). T(x,y) * T(y,x * y) = x * L(y,x,y). T(x,y) * T(y,x * y) != z | L(y,T(x,y),y) * T(x,y) = z. L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). L(x,y,x) = L(x,T(y,x),x). L(x,T(y,x),x) = L(x,y,x). L(x,x \ y,x) = L(x,y / x,x). L(x,y / x,x) = L(x,x \ y,x). L(x,(x * y) / x,x) != z | ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = z. ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). ((T(x,y) * y) / x) \ ((x * (x * y)) / x) != z | L(x,y,T(x,y)) = z. L(x,y,T(x,y)) = L(x,y,x). T(x,y) * T(T(y,x),x * y) != z | (T(y,x) * (x * y)) / T(y,x) = z. (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). x != (T(y,z) \ y) * u | z * (((y * z) / y) \ u) = x. x * (((y * x) / y) \ z) = T(x,y) * (x \ z). x * (((y * x) / y) \ z) != u | ((y * x) / y) \ (x * z) = u. ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). (x / y) * z != T(x / y,u) * x | y * T(y \ x,u) = z. x * T(x \ y,z) = (T(z,y / x) \ z) * y. (T(x,y / z) \ x) * y = z * T(z \ y,x). x != y * T(y \ z,u) | z * K(u \ (u / (z \ y)),u) = x. x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. x * (T(x,y / z) \ y) = z * T(z \ y,x). x * T(x \ y,z) = z * (T(z,y / x) \ y). (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) != u | T(x,z) / y = u. T(x,y) / z = (T(y,(x / z) / (1 / z)) \ y) * (x / z). (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. x != y * (T(y,(z / u) / (u \ 1)) \ (z / u)) | T(z,y) / u = x. T(x,y) / z = z \ T(z * (x / z),y). x \ T(x * (y / x),z) = T(y,z) / x. x * (T(y,z) / x) = T(x * (y / x),z). x \ T(x * y,z) = T(y * x,z) / x. T(x * y,z) / y = y \ T(y * x,z). (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). x \ T(y,z) = T((x \ y) * x,z) / x. T((x \ y) * x,z) / x = x \ T(y,z). x * (y * (T(z,x) / y)) = (y * (z / y)) * x. x \ T(T(x,y) * y,z) = T(x * y,z) / x. T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). (x \ T(y,z)) * x = T((x \ y) * x,z). T(x \ T(y,z),x) = x \ T((x \ y) * x,z). x \ T((x \ y) * x,z) = T(x \ T(y,z),x). x \ T(y * x,z) = T(x \ T(x * y,z),x). T(x \ T(x * y,z),x) = x \ T(y * x,z). (x \ T(x * y,z)) * x = T(y * x,z). x != y \ T(y * z,u) | (y \ 1) * T((y \ 1) \ z,u) = x. (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,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 * (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)). ((x * ((y / z) / x)) * z) * (y \ u) = (z * (y \ u)) * (x * (((z * (y \ u)) \ u) / x)). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ 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 \ (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)) * z != u | z * (x * ((z \ y) / x)) = u. (x * y) * (z * (((x * y) \ x) / z)) = (x * y) * (z * (L(y \ 1,y,x) / z)). (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). x * (y * (z * ((y \ 1) / z))) = (x * y) * (z * (((x * y) \ x) / z)). (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). x * ((y \ 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. (x \ y) * x = T((x \ y) * x,y). T((x \ y) * x,y) = (x \ y) * x. T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. ((x \ (y / z)) * x) * z != u | u = z * ((x \ (z \ y)) * x). ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. x * ((y \ (x \ z)) * y) = R((y \ (z / x)) * y,x,x \ 1) / (x \ 1). R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) != u | x \ ((y \ (x * z)) * y) = u. x \ ((y \ (x * z)) * y) = ((y \ (z * x)) * y) / x. ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. (x \ y) * T(x,y) = (x \ ((x * y) / x)) * x. (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). (((x \ (1 / y)) * x) * y) * z = (y * z) * ((x \ ((y * z) \ z)) * x). (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. ((1 / x) \ y) * (1 / x) = x \ T(x * y,1 / x). x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). x * y != (1 / z) * T((1 / z) \ u,w) | (z \ T(z * u,w)) / y = x. (x \ T(x * (y * z),u)) / z = ((1 / x) / z) * T(((1 / x) / z) \ y,u). ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. (T(x,y) * (z \ 1)) * z = T((x * (z \ 1)) * z,y). T(x,T(y * x,z)) = T(x,T(x * y,z)). (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). x * (y / x) = T(x * (y / x),y). T(x * (y / x),y) = x * (y / x). x * (T(R(y,x \ 1,x),z) / x) = T(x * (y * (1 / x)),z). x * (y / x) = T(x * (y / x),K(z,y)). T(x * (y / x),K(z,y)) = x * (y / x). (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). x * (T(y,y \ z) / x) = T(x * (y / x),z / y). x * (T(y,z) / x) != u | T(x * (y / x),z) = u. T(x * (y / x),y \ z) = T(x * (y / x),z / y). T(x * (y / x),z / y) = T(x * (y / x),y \ z). T(x,y / z) != u | T(x,(z / y) \ 1) = u. T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). (x * T(x * (y / x),z)) / y != u | (x / y) * T(x * (y / x),z) = u. (x / y) * T(x * (y / x),z) = (T(x,x \ T(y,z)) / y) * T(y,z). (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). x != y * ((1 / (1 / z)) / y) | L(y * (z / y),z \ 1,z) = x. L(x * (y / x),y \ 1,y) = T(x * ((1 / (1 / y)) / x),K(z,y)). T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. x * (R(T(y,z),x \ 1,x) / x) = T(x * (y * (1 / x)),z). x * (T(y,z) * (1 / x)) = T(x * (y * (1 / x)),z). (x \ 1) * (T(y,z) * x) = T((x \ 1) * (y * (1 / (x \ 1))),z). T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). (x \ 1) * (T(y,z) * x) = T((x \ 1) * (y * x),z). T(x,y * (x / y)) = x. T(x * (y / x),y) / y = y / ((x \ y) * x). T((x \ y) * x,y) / y = y / ((((x \ 1) * y) \ y) * ((x \ 1) * y)). x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. T(x,y) = T(T(x,y),z * (x / z)). T(T(x,y),z * (x / z)) = T(x,y). T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). T(x,y / x) \ x != z | y / (x * (y / x)) = z. x / (y * (x / y)) = y \ (x / (x / y)). (x \ y) * z = K(y,y \ 1) * ((x \ (1 / (1 / y))) * z). K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) != z | x * K(y \ (1 / (1 / x)),y) = z. x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. (x \ T(y,y \ 1)) * z = K(y,y \ 1) * ((x \ y) * z). K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). x * ((y \ T(z,x)) * y) != u | ((y \ z) * y) * x = u. ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). ((x \ y) * x) * (y \ 1) != z | ((x \ y) * x) / y = z. ((x \ y) * x) / y = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. x * ((1 / x) * ((y \ x) * z)) = L((y \ ((x \ 1) \ 1)) * z,x \ 1,x). L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). x * K(y \ 1,y) != T(y,z) \ y | y * (1 / T(y,z)) = x. x * (1 / T(x,y)) = T(x,y) \ ((x \ 1) \ 1). T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). (x \ y) * (1 / y) = (x \ ((y \ 1) \ 1)) * (y \ 1). (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). (x \ y) * K(y,y \ 1) = x \ (((z * (z \ y)) \ 1) \ 1). x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). (x * y) / ((x * y) / x) = x * (T(x,y) \ x). (x * (T(x,y) \ x)) \ (x * z) = x * (((x * y) / ((x * y) / x)) \ z). x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). x * ((x * (T(x,y) \ x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). L(x,T(y,z) \ y,y) = y * ((y * (T(y,z) \ y)) \ ((T(y,z) \ y) * x)). x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). x != L((y \ 1) \ z,y \ 1,y) | y * z = x. x * y = L((x \ 1) \ y,x \ 1,x * K(z,x)). L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. K(x,y) * (T(y,z) * u) = (K(x,y) * T(y,z)) * u. (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). R(K(x,y),T(y,z),u) = K(x,y). L(x,T(y,z),K(u,y)) = x. L(x,y,K(z,y)) = x. K(x,y) * (y * z) = (K(x,y) * y) * z. (K(x,y) * y) * z = K(x,y) * (y * z). a(K(x,y),y,z) = 1. L(x,y,T(y,z) \ y) = x. (K(x,y) * (y * z)) * 1 = (y * K(x,y)) * z. K(x,y) * (y * z) = (y * K(x,y)) * z. (x * K(y,x)) * z = K(y,x) * (x * z). K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). K(x,y) * z = (y * K(x,y)) * (y \ z). (x * K(y,x)) * (x \ z) = K(y,x) * z. (x * K(y,x)) \ z = x \ (K(y,x) \ z). T(x,y) = T(x,y * K(x,y)). T(x,y * K(x,y)) = T(x,y). T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). x * (x \ y) = L(y,T(x,z) \ x,x). L(x,T(y,z) \ y,y) = y * (y \ x). x = L(x,T(y,z) \ y,y). L(x,T(y,z) \ y,y) = x. L(x,K(y,z),z) = x. x * (K(y,x) * z) = (x * K(y,x)) * z. (x * K(y,x)) * z = x * (K(y,x) * z). (x * (K(y,x) * z)) / z = x * K(y,x). R(x,K(y,x),z) = x. (x * K(y,x)) * (x \ z) != u | K(y,x) * z = u. K(x,y) * z = y * (K(x,y) * (y \ z)). x * (K(y,x) * (x \ z)) = K(y,x) * z. (x * K(y,x)) * z != u | K(y,x) * (x * z) = u. K(x,y) * (y * z) = y * (K(x,y) * z). x * y != (z * K(u,z)) * w | (z * (K(u,z) * w)) / y = x. (x * (K(y,x) * z)) / (x * z) = K(y,x). (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). K(x,y) * (y * z) != u * w | u \ (y * (K(x,y) * z)) = w. (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) != w | L(L(u,z,x),x * z,K(y,x)) = w. L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). T(x,y) = R(T(x,y),K(z,x),u). R(T(x,y),K(z,x),u) = T(x,y). 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,K(y,z),T(z,u)) = x. x != T(y,((y * z) \ y) \ K(z,y)) | K(z,y) \ y = x. K(x,y) \ y = R(T(y,((y * x) \ y) \ K(x,y)),K(z,y),u). R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. R(K(x,y) \ y,K(x,y),z) != u | (y * z) / (K(x,y) * z) = u. (x * y) / (K(z,x) * y) = K(z,x) \ x. (K(x,y) \ y) * (K(x,y) * z) = y * z. (K(x,y) \ 1) * (K(x,y) * z) = z. K(T(x,y),y) \ z = K(y,x) * z. (K(x,y) \ 1) \ z = K(x,y) * z. K(x,y) \ z = K(T(y,x),x) * z. K(T(x,y),y) * z = K(y,x) \ z. R(K(x,y),y,z) = K(x,y). 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 \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z * K(x \ 1,x),u) = w. R(x,y * K(z \ 1,z),u) = R(x,y,u). K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). K(x,x \ 1) * R(y,z,u) = R(K(x,x \ 1) * y,z,u). R(x,y \ 1,z) = R(x,1 / y,z). R(x,1 / y,z) = R(x,y \ 1,z). R(x,y,z) = R(x,(y \ 1) \ 1,z). R(x,(y \ 1) \ 1,z) = R(x,y,z). R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. R(1 / x,y,z) \ u = K(x \ 1,x) * (R(x \ 1,y,z) \ u). K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. (K(x,x \ 1) * y) * z = (y * z) * K(x,x \ 1). ((1 / x) * y) * z = (((x \ 1) * y) * z) * K(x,x \ 1). (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. x != K(y,y \ 1) * (z / u) | z / (u * K(y \ 1,y)) = x. x / (y * K(z \ 1,z)) = (x * K(z,z \ 1)) / y. (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). (K(x,x \ 1) * y) * z != u * (y * z) | K(x,x \ 1) = u. K(x,x \ 1) = R(K(x,x \ 1),y,z). R(K(x,x \ 1),y,z) = K(x,x \ 1). R(K(x,x \ 1),y,z) != u | R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = u. R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). x * K(((1 / y) * x) \ x,(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). x != y * K(z \ y,z) | (z \ y) * z = x. (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). L(x,y,z * K(u \ 1,u)) = L(x,y,z). L(x,y,K(z \ 1,z) * u) = L(x,y,u). L(x,y,z * u) = L(x,y,((z \ 1) \ 1) * u). L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). a(x * K(y \ 1,y),z,u) = a(x,z,u). a(x \ 1,y,z) = a(1 / x,y,z). a(1 / x,y,z) = a(x \ 1,y,z). a(x * (y \ 1),z,u) = a(x * (1 / y),z,u). a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). a((x / (y \ 1)) \ z,u,w) = a((x / (1 / y)) \ z,u,w). a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). a((1 / (1 / (x \ y))) \ y,x \ y,z) != u | a(y * (1 / (1 / (y \ x))),y / x,z) = u. a(x * (1 / (1 / (x \ y))),x / y,z) = a((1 / ((y \ x) \ 1)) \ x,y \ x,z). a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). a((x \ y) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). a(x * (1 / (1 / (x \ y))),x / y,z) != u | a((y \ x) \ x,y \ x,z) = u. a((x \ y) \ y,x \ y,z) = a(y * ((1 / (y \ x)) \ 1),y / x,z). a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). a(x,y / x,z) = a((x \ y) \ y,x \ y,z). a((x \ y) \ y,x \ y,z) = a(x,y / x,z). a(T(x,x \ y),x \ y,z) = a(x,y / x,z). (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). (1 / x) / y = ((x \ 1) / y) * K(x,x \ 1). ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | T(y,(1 / y) * (x * y)) \ y = z. T(x,(1 / x) * (y * x)) \ x = L(K(y,x),x * y,x \ 1). L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. 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). T(R(x,y,x),z) = R(T(x,z),T(y,x),T(x,y)). R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). R(R(x,y,x),z,u) = R(R(x,z,u),T(y,x),T(x,y)). R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). 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). (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 | z = x. L(R(x,y,x),y,R(x,y,x)) = x. R(T(x,y),z,x) = R(T(x,y),T(z,x),T(x,z)). R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). T(R(T(x,y),z,x),u) = R(T(T(x,y),u),T(z,x),T(x,z)). R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). R(T(T(x,y),z),u,x) = R(T(T(x,y),z),T(u,x),T(x,u)). R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. L(K(x,y),y * x,y \ 1) != z | (x * y) / (y * x) = z. (x * y) / (y * x) = T(y,(y \ 1) * (x * y)) \ y. T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). x \ y != (z * y) / (y * z) | T(y,z) = x. T(x,y) = T(x,(x \ 1) * (y * x)). T(x,(x \ 1) * (y * x)) = T(x,y). T(x,T((x \ 1) * y,x)) = T(x,x \ y). 1 / R(T(x,y),x \ 1,y * x) = (((1 / x) * (y * x)) \ (y * x)) \ 1. (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). (L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y). 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 != z | ((y \ 1) * (y * x)) \ (y * x) = z. ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). T(x,(x \ 1) * y) = T(x,x \ y). T(x,(1 / x) * y) = T(x,x \ y). x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. x * K(x,y \ 1) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). K(x,(y \ x) / x) = K(x,y \ 1). K(x,((y \ 1) \ x) / x) != z | K(y \ ((y \ 1) \ x),y) = z. K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). (x \ y) * K(y,x \ 1) = y * ((x \ y) / y). x != K(y,(z \ 1) \ 1) | K(y,z) = x. K(x,y) = K(y \ ((y \ 1) \ x),y). K(x \ ((x \ 1) \ y),x) = K(y,x). K(x \ ((x \ 1) \ y),x) != z | K(x \ ((1 / x) \ y),x) = z. K(x \ ((1 / x) \ y),x) = K(y,x). K(x \ y,x) = K((x \ 1) * y,x). K((x \ 1) * y,x) = K(x \ y,x). K(x \ y,x) = K((1 / x) * y,x). K((1 / x) * y,x) = K(x \ y,x). K((1 / (1 / x)) * y,1 / x) != z | K(x * y,x \ 1) = z. K(x * y,x \ 1) = K((1 / x) \ y,1 / x). K((1 / x) \ y,1 / x) = K(x * y,x \ 1). K((1 / x) * (y * x),x) = K(T(y,x),x). K(x * y,x \ 1) = K((x \ 1) \ y,x \ 1). K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). K(T((1 / x) * y,x),x) != z | K(T((x \ 1) * y,x),x) = z. K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). K(x,x \ y) = K(x,(x \ 1) * y). K(x,(x \ 1) * y) = K(x,x \ y). K(x \ 1,((x \ 1) \ 1) * y) != z | K(x \ 1,x * y) = z. K(x \ 1,x * y) = K(x \ 1,(x \ 1) \ y). K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). K(x,y) = K(x,x \ ((x \ 1) \ y)). K(x,x \ ((x \ 1) \ y)) = K(x,y). K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z). K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. x != (y \ T(y,y \ z)) * z | y * (z / y) = x. x * (y / x) = (((x \ 1) * y) \ y) * ((x \ 1) * y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). x / (y * (x / y)) = T((y \ x) * y,x) / x. T((x \ y) * x,y) / y = y / (x * (y / x)). ((x \ y) * x) / y = y / (x * (y / x)). x != y / (z * (y / z)) | z \ (y / (y / z)) = x. x \ (y / (y / x)) = ((x \ y) * x) / y. ((x \ y) * x) / y = x \ (y / (y / x)). ((x \ y) * x) / y != z | (1 / y) * ((x \ y) * x) = z. (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). L((x \ ((y \ z) \ u)) * x,y \ z,y) != w | (x \ (z \ (y * u))) * x = w. (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). (x \ y) * x = y * (x \ (y / (y / x))). x * (y \ (x / (x / y))) = (y \ x) * y. x * y != (z \ x) * z | K(z \ x,z) = y. K(x \ y,x) = x \ (y / (y / x)). x \ (y / (y / x)) = K(x \ y,x). x * K(x \ y,x) = y / (y / x). x / (x / y) = y * K(y \ x,y). x \ (y / (y / x)) != z | (1 / y) * ((x \ y) * x) = z. (1 / x) * ((y \ x) * y) = K(y \ x,y). x \ (y / (y / x)) != z | ((x \ y) * x) / y = z. ((x \ y) * x) / y = K(x \ y,x). T(K(x \ y,x),y) = K(x \ y,x). (x * K(x \ y,x)) \ y = y / x. x != (y \ 1) * K(z,y \ 1) | y \ K(z,y \ 1) = x. x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). (x * K(x \ y,x)) * (y / x) = y. (x * y) / ((x * y) / x) = x * K(y,x). x / y = (y \ x) * K((y \ x) \ x,y \ x). (x \ y) * K((x \ y) \ y,x \ y) = y / x. L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). T(x * K(x \ y,x),y) = L(x,x \ y,x). T(x,y) / (T(x,y) / y) = y * K(y \ x,y). x / (T(x,y) / y) = T(y,x) * K(T(y,x) \ x,T(y,x)). T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). (x / y) * (y * K(y \ x,y)) = (y \ x) * y. (x / (x / y)) * z = y * (K(y \ x,y) * z). x \ y = K(x \ y,x) * (y / x). K(x \ y,x) * (y / x) = x \ y. x \ ((y / (y / x)) * z) != u * z | u = K(x \ y,x). x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). x \ K(x * y,x \ 1) = y / (y / (x \ 1)). (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). T(x \ y,R(y / x,z,u)) = x \ y. K(x \ y,x) * (x * (y / x)) = y. x * y != (x * z) / ((x * z) / x) | T(x,z) \ x = y. T(x,y) \ x = K(y,x). x \ T(x,y) = K(x,y). x / T(x,y) = K(y,x). x / K(y,x) = T(x,y). T(x,y) * K(y,x) = x. T(x,y) \ x != z | (y * x) / (x * y) = z. (x * y) / (y * x) = K(x,y). T(x,y) \ x != z | ((x * y) / x) \ y = z. ((x * y) / x) \ y = K(y,x). T(x \ 1,y) \ (x \ 1) != z | (x * T(x \ 1,y)) \ 1 = z. (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). T(x,y) \ x != z | (x \ 1) \ (T(x,y) \ 1) = z. (x \ 1) \ (T(x,y) \ 1) = K(y,x). T(x,y) \ x != z | (T(x,y) \ 1) * T(x,x \ 1) = z. (T(x,y) \ 1) * T(x,x \ 1) = K(y,x). T(x,y) \ x != z | x * (T(x,y) \ 1) = z. x * (T(x,y) \ 1) = K(y,x). T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. x * T(x \ 1,y) = K(x \ 1,y). x \ y != K(y \ (y / z),y) | T(y,z \ 1) = x. T(x,y \ 1) = T(x,x \ (x / y)). T(x,x \ (x / y)) = T(x,y \ 1). x * y != T(z,u) \ z | K(u,z) / y = x. K(x,y) / y = 1 / T(y,x). x * y != T(z,u) \ z | x \ K(u,z) = y. (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). T(x,x * y) \ x = K((1 / y) \ x,x). K((1 / x) \ y,y) = T(y,y * x) \ y. K(x,y) \ y = T(y,x). K(x,y) * T(y,x) = y. (1 / x) * K(y,x) = 1 / T(x,y). (x \ 1) * K(y,x) = T(x,y) \ 1. K(x,y) * ((y * x) / y) = x. K(x,y) * (y * x) = x * y. ((x * y) / x) * K(y,x) = y. K(x,y) * (T(y,x) * z) = y * z. K(x,y) * z = y * (T(y,x) \ z). x * (T(x,y) \ z) = K(y,x) * z. T(x * K(y,x),y) = x. (x * y) / x = y * K(x,y). T(x,y) * (x \ z) = K(x,y) * z. x * (K(x,y) * z) = T(x,y) * z. K(x / y,z) * x = y * T(y \ x,z). T(x,y) = K(x,y) * x. K(x,y) * x = T(x,y). T(x,y) \ (x * z) = K(y,x) * z. T(x,y) \ z = K(y,x) * (x \ z). K(x,y) * (y \ z) = T(y,x) \ z. x \ (K(y,x) * z) = T(x,y) \ z. x * (T(x,y) \ x) != z | (y * x) / y = z. (x * y) / x = K(x,y) * y. x * y != z * (T(z,u / (w \ 1)) \ u) | (w \ T(w * u,z)) / y = x. (x \ T(x * y,z)) / y = K(y / (x \ 1),z). x * y != z * (T(z,u / w) \ u) | (w * T(w \ u,z)) / y = x. (x * T(x \ y,z)) / y = K(y / x,z). x * y != z * (T(z,u) \ z) | ((u * z) / u) / y = x. ((x * y) / x) / y = K(x,y). x * y != z * (T(z,(u / w) / (w \ 1)) \ (u / w)) | (T(u,z) / w) / y = x. (T(x,y) / z) / (x / z) = K((x / z) / (z \ 1),y). K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). x * y != z * (T(z,u) \ u) | T(u,z) / y = x. T(x,y) / x = K(x,y). x * y != z * (T(z,u) \ (1 / z)) | x \ (1 / T(z,u)) = y. K(x,y) \ (1 / T(y,x)) = 1 / y. K(x,y) * (y \ z) != u | T(y,x) \ z = u. T(x,y) * (K(y,x) * z) = x * z. T(K(x,y) * y,x) = y. (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. K(x,y) * (K(z,y) * u) = y * (K(x,y) * (T(y,z) \ u)). x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). K(x,y) * x != z | T(x,y) = z. (x * y) / (T(x,z) * y) = K(z,x). K(x,y) \ (y * z) = T(y,x) * z. x \ (T(x,y) * z) = K(x,y) * z. x \ y = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. x * y != T(x,z) * (x \ u) | ((z * x) / z) \ u = y. ((x * y) / x) \ z = K(y,x) * (y \ 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). x * y != T(x,z) * T(z,x * z) | L(z,x,z) = y. L(x,y,x) = K(y,x) * T(x,y * x). K(x,y) * T(y,x * y) = L(y,x,y). x * y != T(x,z) * T(z,z * x) | L(z,x,z) = y. L(x,y,x) = K(y,x) * T(x,x * y). K(x,y) * T(y,y * x) = L(y,x,y). (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). x * y != T(x,x \ z) * z | x * (z / x) = y. x * (y / x) = K(x,x \ y) * y. K(x,x \ y) * y = x * (y / x). x * y != T(x,x \ z) * (x \ z) | z / x = y. x / y = K(y,y \ x) * (y \ x). K(x,x \ y) * (x \ y) = y / x. T(x,y) * z = K(x,y) * (x * z). K(x,y) * (x * z) = T(x,y) * z. x * K(y,y \ 1) != z * (u * K(y,y \ 1)) | z * u = x. x * K(x,y) = T(x,y). (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). x * (y * K(x,z)) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). x * (y * K(x,y)) = T(x,y) * y. K(x,y) = T(x,y) * (x \ 1). T(x,y) * (x \ 1) = K(x,y). T(x,y) \ (K(x,y) * z) = x \ z. x != T(y,z) * u | y * (K(y,z) * u) = x. x * (K(x,y) * z) = K(x,y) * (x * z). K(x,y) * (x * z) = x * (K(x,y) * z). K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). K(x,y) \ z = x * (T(x,y) \ z). x * (T(x,y) \ z) = K(x,y) \ z. x * y != K(z,u) * (z * x) | T(T(z,u),x) = y. T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). (K(x,y) * z) / (x \ z) = T(x,y). K(1 / x,y) / x = T(1 / x,y). K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). T(x,y) * L(T(z,x),u,w) = K(x,y) * (L(z,u,w) * x). K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). T(x,y) * R(T(z,x),u,w) = K(x,y) * (R(z,u,w) * x). K(x,y) * (K(z,x) * u) = T(x,y) * (T(x,z) \ u). T(x,y) * (T(x,z) \ u) = K(x,y) * (K(z,x) * u). x * (T(x,y) \ z) != u | K(y,x) * z = u. K(x,y) * z = K(y,x) \ z. K(x,y) \ z = K(y,x) * z. K(x,y) \ y != z | T(y,x) = z. x * K(y,x) = K(x,y) \ x. K(x,y) \ x = x * K(y,x). T(x,K(y,z)) = K(z,y) * (x * K(y,z)). K(x,y) * (z * K(y,x)) = T(z,K(y,x)). x / (K(y,z) * x) = K(z,y). x != K(y,z) * T(T(z,u),w) | T(T(z,u),w) * K(y,z) = x. T(T(x,y),z) * K(u,x) = K(x,u) \ T(T(x,y),z). K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). x != K(y \ 1,z) * y | y * K(y \ 1,z) = x. x * K(x \ 1,y) = K(y,x \ 1) \ x. K(x,y \ 1) \ y = y * K(y \ 1,x). K(x,y) = K(y,x) \ 1. K(x,y) \ 1 = K(y,x). x = K(y,z) * (K(z,y) * x). K(x,y) * (K(y,x) * z) = z. 1 = K(x,y) * K(y,x). K(x,y) * K(y,x) = 1. x * y != K(z,u) * w | x \ (K(u,z) \ w) = y. x \ (K(y,z) \ x) = T(K(z,y),x). x \ R(x,y \ 1,y) != z | a(x,y \ 1,y) = z. a(K(x,y),z \ 1,z) = K(y,x) * R(K(x,y),z \ 1,z). K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. a(K(x,y),z,z \ 1) = K(y,x) * R(K(x,y),z,z \ 1). K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). K(x,y) \ (L(z,K(u,x),K(x,y)) * (K(u,x) * K(x,y))) != w | K(u,x) * T(z,K(x,y) * K(u,x)) = w. K(x,y) * T(z,K(y,u) * K(x,y)) = K(u,y) * (L(z,K(x,y),K(y,u)) * (K(x,y) * K(y,u))). K(x,y) * (L(z,K(u,y),K(y,x)) * (K(u,y) * K(y,x))) = K(u,y) * T(z,K(y,x) * K(u,y)). x \ y != K(z,u) * y | K(T(u,z),z) = x. K(T(x,y),y) = K(x,y). x \ K(y,z) != z * K(y,z) | 1 / z = x. 1 / K(x,y) = K(y,x). x \ y != K(T(z,u),u) * y | K(u,z) = x. K(x,y) = K(x,T(y,x)). K(x,T(y,x)) = K(x,y). K(x,y) * (K(y,x) * z) != u | u = z. K(x,y) * z != u | K(y,x) * u = z. L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. x * (K(y,z) * u) != u | x = K(z,y). x * (K(y,z) * u) != u | K(z,y) = x. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). K(x,y) \ 1 != z | K(y,x) = z. x / (K(y,z) * x) != u | u = K(z,y). x / (K(y,z) * x) != u | K(z,y) = u. T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. K(x,y) * z != K(y,u) * K(x,y) | K(y,u) = z. K(x,y) = K(x,z) * (K(x,y) * K(z,x)). K(x,y) * (K(x,z) * K(y,x)) = K(x,z). (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),K(u,z) * y). K(x,y) \ z != u | u = K(y,x) * z. K(x,y) \ z != u | K(y,x) * z = u. (x * y) \ (K(z,u) * ((K(u,z) * x) * y)) = L(a(K(u,z),x,y),K(u,z) * (x * y),K(z,u)). L(a(K(x,y),z,u),K(x,y) * (z * u),K(y,x)) = (z * u) \ (K(y,x) * ((K(x,y) * z) * u)). R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). x \ (K(y,z) * (K(z,y) * (x * u))) = L(L(u,x,K(z,y)),K(z,y) * x,K(y,z)). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). K(x,y) * z != x \ u | T(x,y) * z = u. x \ y != K(x,z) * u | T(x,z) * u = y. x * (K(x,y) * z) != u | u = T(x,y) * z. x * (K(x,y) * z) != u | T(x,y) * z = u. K(x,y / x) * (x \ y) = y / x. x / T(x,y) != z | z = K(y,x). x / T(x,y) != z | K(y,x) = z. x * (K(y,z) / z) = x * (1 / T(z,y)). (K(x,y) / y) \ 1 = T(y,x). K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). 1 / (K(x,y) / y) = T(1 / (1 / y),x). T(1 / (1 / x),y) = 1 / (K(y,x) / x). x * y != K(z,u) * u | x \ (u * K(z,u)) = y. T(x,y * x) \ ((y * x) * K(x,y * x)) = T(y,x). T(x,y) * T(z,x) != u | T(z,x) * T(T(x,z),y) = u. T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). L(T(x,y),z,K(z,u)) = T(y,w) \ (K(y,w) * (x * y)). x != T(y,z * (u \ 1)) | T(y,z * (1 / u)) = x. T(x,y * (1 / z)) = x * K(x,y * (z \ 1)). x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). x * y != T(z,z * u) | x \ L(T(z,u),u,z) = y. x \ L(T(x,y),y,x) = K(x,x * y). x * y != T(z,u * K(w,w \ 1)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(z,z \ 1)). K(x,y * K(z,z \ 1)) = x \ T(x,y). x * y != T(z / (z / u),z) | x \ L(u,u \ z,u) = y. (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). x * y != T(z,z / u) | x \ T(z,u \ z) = y. x \ T(x,y \ x) = K(x,x / y). x * y != T(R(z,u,w),v5) | x \ R(T(z,v5),u,w) = y. R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). x * y != T(L(z,u,w),v5) | x \ L(T(z,v5),u,w) = y. L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). K(x,y) * T(K(y,x),z) = K(K(y,x),z). x * y != T(x,x \ K(z,x)) | K(x,x \ 1) = y. K(x,x \ 1) = K(x,x \ K(y,x)). K(x,x \ K(y,x)) = K(x,x \ 1). x * y != z * K(z,u) | T(z,u) / y = x. T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). T(x,y) != x * z | K(x,y) = z. x \ T(x,y) != z | z = K(x,y). x \ T(x,y) != z | K(x,y) = z. (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = L(K(L(z,y,x),u),L(z,y,x),x * y). R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). (x * (y * z)) \ (x * (y * T(z,u))) != w | L(L(K(z,u),z,y),y * z,x) = w. (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). R(x,y,z) \ T(x,u) = x * (R(x,y,z) \ K(x,u)). x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). (1 / x) * K(x \ 1,y) = T(1 / x,y). K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). K(x,y) * T(x,z) = T(x,y) * K(x,z). T(x,y) * K(x,z) = K(x,y) * T(x,z). (x * (y * z)) \ (x * (y * T(z,u))) = L(K(L(z,y,x),u),L(z,y,x),x * y). L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))). x \ T(x,y) != z | ((x * y) / x) * (y \ 1) = z. ((x * y) / x) * (y \ 1) = K(x,y). x \ T(x,y \ 1) != z | y * ((x * (y \ 1)) / x) = z. x * ((y * (x \ 1)) / y) = K(y,x \ 1). x \ T(x,y) != z | y \ ((x * y) / x) = z. x \ ((y * x) / y) = K(y,x). x \ T(x,y) != z | (1 / x) * T(x,y) = z. (1 / x) * T(x,y) = K(x,y). x \ T(x,y) != z | (1 / x) * T((1 / x) \ 1,y) = z. (1 / x) * T((1 / x) \ 1,y) = K(x,y). x * y != z \ T(z,u) | x \ K(z,u) = y. ((x * y) / x) \ K(x,y) = y \ 1. (1 / x) \ K(x,y) = T(x,y). K(x,y) != x \ z | T(x,y) = z. x * K(x,y) != z | z = T(x,y). x * K(x,y) != z | T(x,y) = z. (x \ 1) / K(x,y) = T(x,y) \ 1. K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). (x * K(y,x)) * y = y * x. T(x,y) \ (y * K(x,y)) = x \ y. T(x,y) * K(y,T(x,y)) = x. (x \ y) * K(x,x \ y) = y / x. T(x,y) / T(T(x,z),y) = K(z,T(x,y)). L(x,y,z) / L(T(x,u),y,z) = K(u,L(x,y,z)). R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). x / T(x,y) = K(y * K(z,z \ 1),x). K(x * K(y,y \ 1),z) = z / T(z,x). K(x,x \ (y * x)) = K(x,y). K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). K(x,x \ y) = K(x,y / x). K(x,y / x) = K(x,x \ y). K(x,R(x \ y,z,u)) = K(x,R(y / x,z,u)). K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). K(x,T(x \ y,z)) = K(x,T(y / x,z)). K(x,T(y / x,z)) = K(x,T(x \ y,z)). x * y != K(z,u) * K(u,z) | x \ 1 = y. x \ 1 = K(y,x) * (x \ K(x,y)). K(x,y) * (y \ K(y,x)) = y \ 1. (x * K(y,x)) \ 1 = x \ K(x,y). x * (K(y,z) * K(z,y)) = x. 1 != K(x,y) * z | K(y,x) = z. K(x,y) * z != 1 | K(y,x) = z. 1 != x * K(y,z) | K(z,y) = x. x * K(y,z) != 1 | K(z,y) = x. 1 / K(x,y) != z | z = K(y,x). 1 / K(x,y) != z | K(y,x) = z. T(x,y) \ x != z | z = K(y,x). T(x,y) \ x != z | K(y,x) = z. (x \ y) * K(x,y / x) = y / x. x * K(R(x,y,z),x) = x. (x \ y) * T(((T(x,z) * K(z,x)) \ y) \ (K(z,x) \ y),u) = (T(x,z) * K(z,x)) \ ((T(T(x,z),u) * K(z,x)) * (K(z,x) \ y)). (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). ((x \ y) \ y) * K(y / x,x) = x. x * y != T(z,u) \ (z * ((z * u) / z)) | u / y = x. x / ((y * x) / y) = K(x,y). L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. T(x,y) \ T(x,z) = K(y,x) * K(x,z). K((x / y) \ x,z / y) = K(y,y \ z). K(x,y / x) != z | y \ (x * (y / x)) = z. x \ (y * (x / y)) = K(y,y \ x). x * K(y,y \ x) = y * (x / y). K(x,y) * y != z | z = (x * y) / x. K(x,y) * y != z | (x * y) / x = z. ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). (x \ T(x * y,y)) / y = K(x * y,y). (K(x,y) * z) * (K(y,x) * u) = K(x,y) * ((z / K(x,y)) * u). T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). ((x * y) / x) / y != z | z = K(x,y). ((x * y) / x) / y != z | K(x,y) = z. (x * y) / x != z | y * K(x,y) = z. ((x * y) / x) * z = K(x,y) * (y * z). K(x,y) * (y * z) = ((x * y) / x) * z. ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). (x * K(y,x)) \ (y * x) = y. x != ((y \ 1) \ 1) * K(z,(y \ 1) \ 1) | (y \ 1) \ K(z,y) = x. (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. x * y != z * K(u,z) | x \ ((u * z) / u) = y. T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). (x * y) / z != u | ((x * (y * z)) / z) / L(z,y,x) = u. ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). (x * y) / x != z | T(x,y) / (y \ x) = z. T(x,y) / (y \ x) = y * K(x,y). (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. T(x,y * x) * T(y,x) = (y * x) * K(T(x,y),y * x). (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. R(x,y,x) = T(x,y) * K(x * y,T(x,y)). T(x,y) * K(x * y,T(x,y)) = R(x,y,x). ((x * y) * y) / (x * y) != z | x \ T(x * y,y) = z. x \ T(x * y,y) = y * K(x * y,y). ((x / y) * y) / z != u | x / z = u. x / (x / y) = y * K(x / y,y). x * ((y * z) / y) = x * (z * K(y,z)). x / y != z * K(u,z) | z * (K(u,z) * y) = x. x * (K(y,x) * y) = y * x. (x * y) / x != y * z | K(x,y) = z. R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). T(T(x * K(y,x),z),y) = T(x,z). T(x * K(y * x,x),y) = R(x,y,x). T(x * K(y,x),z) * y = y * T(x,z). (x * T(y,z)) / x = T(y * K(x,y),z). T(x * K(y,x),z) = (y * T(x,z)) / y. L(x * K(y,x),z,u) * y = y * L(x,z,u). (x * L(y,z,u)) / x = L(y * K(x,y),z,u). L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. (x * R(y,z,u)) / x = R(y * K(x,y),z,u). R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). T(x * K(y,x),x * y) = L(x,y,x). (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). T(x,y) * K(y,T(x,y)) != z | z = x. (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). R(x * K(y,x),z,u) * y = y * R(x,z,u). T(x * K(y,x),y * x) = L(x,y,x). L(x,y,x * K(y,x)) = L(x,y,x). (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). ((x * y) / x) * z = y * (K(x,y) * z). T(x,y * z) != T(y,z) | R(y,z,y) = x. R(x,y,x) = T(x * K(x * y,x),y). T(x * K(x * y,x),y) = R(x,y,x). T((x * y) / x,z) = T(y * K(x,y),z). T(x,y * z) != T(y,z * y) | y = x. x = T(x * K(x * y,x),y * x). T(x * K(x * y,x),y * x) = x. x * T(T(y,z),u) = T(T(y * K(x,y),z),u) * x. T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). (x * y) * 1 = K(x,y) * (y * x). K(x,y) * (y * x) = (x * y) * 1. x = K(y,y \ x) * ((y \ x) * y). K(x,x \ y) * ((x \ y) * x) = y. K(x \ y,x) * y = (x \ y) * x. x / ((y \ x) * y) = K(y,y \ x). K(x,y / x) * y = x * (y / x). K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),(x * y) * z),x * y,z). R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). K(x,y) != z | T(y,x) \ y = z. T(R(x,y,x),z) = T(T(x * K(x * y,x),z),y). T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). R(T(x,y),z,x) = T(T(x * K(x * z,x),y),z). T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). L(T(x,y),z,u) = K(L(x,z,u),y) * L(x,z,u). K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). x * y != T(z,u) * x | T(T(z,x),u) = y. 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) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). x * y != K(z,u) * z | T(z,u) / y = x. T(x,y) / R(x,z,u) = (K(x,y) / R(x,z,u)) * x. (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). T(x,y) != T(z,u) | T(z * K(y,z),u) = x. T(x * K(y,x),z) = T(x,z) * K(y,T(x,z)). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). T(x,y) != z | (T(y,z) * z) / T(y,z) = x. (T(x,y) * y) / T(x,y) = y * K(x,y). 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,y,R(x * K(y,x),z,u)) = T(x * K(y,x),R(x * K(y,x),z,u) * y). T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). 1 / (1 / x) = T(1 / (1 / (x * K(y,x))),y). T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). T(x \ K(y,x \ 1),y) = x \ 1. 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(x,L(y,z,u)) = T(x,L(y * K(x,y),z,u)). T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). K(x,y) = K(x,y * K(x,y)). K(x,y * K(x,y)) = K(x,y). x * (y * R(z,u,w)) != (y * R(z,u,w)) * T(z,y) | R(z,y,R(z,u,w)) = x. R(x,y,R(x,z,u)) = T(x * K(y * R(x,z,u),x),y). T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). x * y != K(z,u \ 1) | x \ K(z,1 / u) = y. x \ K(y,1 / x) = (y * (x \ 1)) / y. (x / y) * ((z * ((x / y) \ 1)) / z) != u | (x * ((z * (x \ y)) / z)) / y = u. (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. L(x * ((y * (x \ 1)) / y),z,u) = K(y,L(x,z,u) \ 1). R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) != w | R(x * ((u * (x \ 1)) / u),y,z) = w. R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). T(x,y) * ((z * (T(x,y) \ 1)) / z) != u | T(x * ((z * (x \ 1)) / z),y) = u. T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). x * y != z * ((u * (z \ 1)) / u) | K(u,z \ 1) / y = x. K(x,y \ 1) / y = (x * (1 / y)) / x. ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). (x \ K(y,x \ 1)) * y = y * (x \ 1). (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). K(x \ (y * x),x) = K(y,x). K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). K(T(x,y),y * x) = K(R(x,y,x),y * x). K(R(x,y,x),y * x) = K(T(x,y),y * x). K(R(T(x,y * z),y,z),y) = K((y * z) \ ((y * x) * z),y). K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). K(T(x,x * y),y) = K(L(x,y,x),y). K(R(x,y,y \ 1),y) = K((y * x) * (y \ 1),y). K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). K(x,x \ y) = K(y / (y / x),x \ y). K(x / (x / y),y \ x) = K(y,y \ x). R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). T(x * K(y,x),z) = K(y,T(x,z)) * T(x,z). K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). x * y != T(z,u) / z | K(z,u) / y = x. K(x,y) / (1 / x) = T(1 / (1 / x),y). T(1 / (1 / x),y) = K(x,y) / (1 / x). K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). x != (y * z) / y | z * K(y,z) = x. L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). x * y != (z * L(u,w,v5)) / z | L(u * K(z,u),w,v5) / y = x. L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). L(x,y,z) * u != L(x * K(w \ v5,v5 \ w),y,z) | K(w \ v5,v5 \ w) = u. K(x \ y,y \ x) = K(x \ y,L(y \ x,z,u)). K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). L(x,y,z) * u != L(x * K(w \ 1,w),y,z) | K(w \ 1,w) = u. K(x \ 1,x) = K(x \ 1,L(x,y,z)). K(x \ 1,L(x,y,z)) = K(x \ 1,x). K(x,y) \ y != z | 1 / (y \ K(x,y)) = z. 1 / (x \ K(y,x)) = T(x,y). K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). T(x,y) * T((x / K(y,x)) \ z,x) = ((x \ (z * K(y,x))) * x) / K(y,x). ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). 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. x * T(x \ 1,y) != z | K(1 / x,y) = z. K(x \ (x / y),x) != z | K(y \ 1,x) = z. (x * T(x \ y,z)) / y != u | K(y / x,z) = u. L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. 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 \ 1) / (x \ K(x,y)) = K(y,x). K(x,y) * (x \ 1) = x \ K(x,y). (x \ 1) / (x \ K(x,y)) != z | z = K(y,x). (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. K(x,y) = (x * K(y,x)) \ x. (x * K(y,x)) \ x = K(x,y). T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z) = (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)). (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). K(x,T(y,x)) != z | K(x,y) = z. L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. (x \ y) / (T(x,z) \ y) = K(x,z). x != K(y,z) * R(y,u,w) | R(y,u,w) * K(y,z) = x. R(x,y,z) * K(x,u) = T(x,u) * (x \ R(x,y,z)). T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). T(x,y) * z != u | x * (K(x,y) * z) = u. x * (K(x,y) * (x \ z)) = K(x,y) * z. T(x,y) * (x \ z) != u | ((y * x) / y) \ (x * z) = u. ((x * y) / x) \ (y * z) = K(y,x) * z. T(x,y) * (x \ L(x,z,u)) != w | (x \ L(x,z,u)) * T(x,y) = w. (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). x * y != T(z,u) * (z \ w) | x \ (K(z,u) * w) = y. x \ (K(x,y) * z) = K(x,y) * (x \ z). x * y != (z \ x) * T((z \ x) \ x,u) | T(K(z,u),x) = y. (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. x * y != z * (T(u,w) / z) | x \ T(z * (u / z),w) = y. T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). (1 / (1 / x)) * y != z | x * (K(x \ 1,x) * y) = z. x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). x * (y / x) != y * z | K(x,x \ y) = z. (x * (y / x)) \ (y * z) = L(K(x \ y,x) * z,K(x,x \ y),y). L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). (x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z). K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,x \ 1),y,z) != u | K(x,x \ 1) = u. K(x,x \ 1) = K(x,L(x,y,z) \ 1). K(x,L(x,y,z) \ 1) = K(x,x \ 1). L(K(x,y),z,u) = K(x,L(1 / y,z,u) \ 1). K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 1). K(x,(y \ z) \ 1) = L(K(x,z \ y),z \ y,z). L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). R(x,L(K(x,y),z,u),w) = x. L(L(K(x,y),z,u),w,v5) = K(x,L(L(y \ 1,z,u),w,v5) \ 1). K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). R(K(x,x \ 1),y,z) != u | K(x,x \ 1) = u. K(x,x \ 1) = K(x,R(x,y,z) \ 1). K(x,R(x,y,z) \ 1) = K(x,x \ 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(1 / y,z,u) \ 1). K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). ((x \ y) \ y) \ 1 = x \ K(x \ y,x). L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). 1 / (x \ K(y,x)) != z | z = T(x,y). 1 / (x \ K(y,x)) != z | T(x,y) = z. T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. K(1 / (x / y),z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K(1 / (x / y),z). x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. R(x * T(x \ 1,y),z,u) = K(R(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 * T(y \ x,z)) = K((x \ y) \ 1,z). x * y != z * T(z \ 1,u) | x \ K(z \ 1,u) = y. x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). x * K((x \ y) \ 1,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K((y \ x) \ 1,z). (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. K((x / y) \ 1,z) * y = x * T(x \ y,z). ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). x * K(T(y,x) \ 1,z) = (y * x) * T((y * x) \ x,z). (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). K(x \ 1,y) != z | K(1 / x,y) = z. (x * (K(y,z) * u)) / w != K((x * u) / (x * (y \ u)),z) | x * u = w. x * y = K(z,(x * y) / (x * (u \ y))) * (x * (K(u,z) * y)). K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. K(x,y) != z | z = K(y,x) \ 1. K(x,y) != z | K(y,x) \ 1 = z. T(x,y) / (T(x,y) * K(z,x)) = K(x,z). K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. x != y / T(y,z) | K(z,y) = x. K(x,y) = K(x * K(z,z \ 1),y). K(x * K(y,y \ 1),z) = K(x,z). K(x * K(y \ 1,y),z) = K(x,z). K(x * y,z) = K(x * (1 / (1 / y)),z). K(x * (1 / (1 / y)),z) = K(x * y,z). K(x * (1 / y),z) = K(x * (y \ 1),z). K(K(x,x \ 1) * y,z) = K(y,z). K(x,y) = K(K(z \ 1,z) * x,y). K(K(x \ 1,x) * y,z) = K(y,z). K((1 / x) * y,z) = K((x \ 1) * y,z). K((x \ 1) \ y,z) = K((1 / x) \ y,z). K((1 / x) \ y,z) = K((x \ 1) \ y,z). K(x / (y \ 1),z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x / (y \ 1),z). K(x * ((y \ 1) \ 1),z) = K(x * y,z). K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). K(x \ T(y,y \ 1),z) = K(x \ y,z). K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). K((1 / (1 / x)) * (x \ y),z) = K(y,z). L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. K(L(x,y,z) \ 1,u) = L(K(x \ 1,u),y,z). L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). L(K(x,y),z,u) = K(L(1 / x,z,u) \ 1,y). K(L(1 / x,y,z) \ 1,u) = L(K(x,u),y,z). L(1,x,y) = K(L(z,x,y) \ 1,(z \ 1) * L((z \ 1) \ 1,u,w)). K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). L(K(1 / x,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). K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). L(K(K(x,y),z),u,w) = K(L(K(y,x),u,w) \ 1,z). K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). L(K(x,y),z,u) \ w = K(y,L(x \ 1,z,u) \ 1) * w. K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. L(K(x,y),z,u) \ 1 = K(y,L(x \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). (x / y) * z = K(y,y \ x) * ((y \ x) * z). K(x,x \ y) * ((x \ y) * z) = (y / x) * z. T(x,y) * z = (x * z) * K(((x * z) \ z) \ 1,y). (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. x * T(x \ T(y,x),z) != u | T(x * T(x \ y,z),x) = u. T(x * T(x \ y,z),x) = T(y,x) * K((T(y,x) \ x) \ 1,z). T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). (x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u. ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. x \ T(y,z) = (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z). (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). x * y != z * T(z \ u,w) | (u * K((u \ z) \ 1,w)) / y = x. (x * K((x \ y) \ 1,z)) / y = T(x / y,z). x * y != (z * u) * T((z * u) \ w,z) | x \ (((z \ (w / u)) * z) * u) = y. x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). x * y != (z / u) * T((z / u) \ w,z) | x \ (((z \ (w * u)) * z) / u) = y. x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). x * y != (z * u) * T((z * u) \ (w * u),v5) | x \ ((z * T(z \ w,v5)) * u) = y. (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. x * ((y \ (x \ z)) * y) = z * K((z \ (y * x)) \ 1,y). x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). (1 / (x \ y)) * (y / x) = K(x,x \ y). K(x,x \ y) / (y / x) = 1 / (x \ y). (x / y) * z = (y \ x) * (K(y,y \ x) * z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. x \ ((y / (y / x)) * z) = K(y / x,(y / x) \ y) * z. K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). (x \ y) \ z = K(x,x \ y) * ((y / x) \ z). K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). K(x \ y,x) = K(y / x,(y / x) \ y). K(x / y,(x / y) \ x) = K(y \ x,y). K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. T(x,y) * K(x * y,x) = R(x,y,x). x * y != T(z,u) * K(z * u,z) | x \ R(z,u,z) = y. x \ R(x,y,x) = K(x,y) * K(x * y,x). K(x,y) * K(x * y,x) = x \ R(x,y,x). (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. K(x * y,x) * K(x,y) = x \ R(x,y,x). T(x,y) / (K(z,x) * K(x,y)) = T(x,z). x != K(y,z) * K(z,u) | K(z,u) * K(y,z) = x. K(x,y) * K(z,x) = T(x,z) \ T(x,y). T(x,y) \ T(x,z) = K(x,z) * K(y,x). T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). T(x / (x / y),z) \ y = K(x / (x / y),y \ x) * K(z,x / (x / y)). K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). x / (y * T(y \ x,z)) = K(z,x / y). x * y != (z * T(u,w)) / z | T(u * K(z,u),w) / y = x. T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). x * y != (z * T(u,w)) / z | x \ T(u * K(z,u),w) = y. T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). x * y != z * T(z \ y,u) | K(y / z,u) = x. K((x \ y) / y,z) = K(x \ 1,z). K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). K(x / (y * x),z) = K(y \ 1,z). K(x / y,z) = K((y / x) \ 1,z). K((x / y) \ 1,z) = K(y / x,z). L(K(x,y),z,u) * w = L(K(y,x),z,u) \ w. L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. x != L(K(y,z),u,w) * K(z,v5) | K(z,v5) * L(K(y,z),u,w) = x. K(x,y) * L(K(z,x),u,w) = L(K(x,z),u,w) \ K(x,y). L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). L(K(x,y),z,u) = L(K(y,x),z,u) \ 1. L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). 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. 1 / L(K(x,y),z,u) = L(K(y,x),z,u). L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. L(K(x,y),z,u) \ w != v5 | v5 = L(K(y,x),z,u) * w. L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. x \ y != K(x,z) * u | T(x,z) \ y = u. R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). R(K(x,y),z,u) = K(R(1 / x,z,u) \ 1,y). K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). R(K(x,y),z,u) \ 1 = K(y,R(1 / x,z,u) \ 1). K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. K(x,R(1 / y,z,u) \ 1) != w | R(K(x,y),z,u) = w. R(K(x,y),z,u) = R(K(y,x),z,u) \ 1. R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). ((x * y) / x) \ y != z | y * (((x * y) / x) \ 1) = z. x * (((y * x) / y) \ 1) = K(x,y). x * y != ((z * u) / z) \ u | x \ K(u,z) = y. x \ K(x,y) = ((y * x) / y) \ 1. ((x * y) / x) \ 1 = y \ K(y,x). L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). (T(x,y) \ z) * u != K(y,x) * ((x \ z) * w) | L(w,x \ z,K(y,x)) = u. K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. K(x,y) * (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). x * y != z / ((u * z) / u) | K(z,u) / y = x. K(x,y) / x = 1 / ((y * x) / y). x / (y / (y / x)) = K(x,x \ y). L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). x != y \ T(y,z) | K(y,z) = x. 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,1 / z)) = K(x,y). K(x,y / (1 / (1 / z))) = K(x,y / z). K(x,y * (1 / z)) = K(x,y * (z \ 1)). K(x,K(y,y \ 1) * z) = K(x,z). K(x,T(y,y \ 1) * z) = K(x,y * z). K(x,y) = K(x,K(z \ 1,z) * y). K(x,K(y \ 1,y) * z) = K(x,z). K(x,(1 / y) * z) = K(x,(y \ 1) * z). K(x,(y \ 1) \ z) = K(x,(1 / y) \ z). K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). K(x,y * ((z \ 1) \ 1)) = K(x,y * z). K(x,(1 / y) / z) = K(x,(y \ 1) / z). K(x,K(y,1 / y) * z) = K(x,z). K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). K(x,y / (z * K(u,u \ 1))) = K(x,y / z). K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). K(x,y \ (z \ 1)) = K(x,y \ (1 / z)). K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). K(x,((y \ 1) \ z) \ u) = K(x,((1 / y) \ z) \ u). K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * (z / (u \ 1))) \ w) = K(x,(y * (z / (1 / u))) \ w). K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. T(K(x,y),z) = K(x,T(1 / y,z) \ 1). K(x,T(1 / y,z) \ 1) = T(K(x,y),z). T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). T(K(x,y),z) = K(x,T(y \ 1,z) \ 1). K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). x * T(K(x,y \ 1),z) = T(x,T(y,z) \ 1). x * K(y,(x \ z) \ 1) = K(y,(z / x) \ 1) * x. K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). x != K((y * z) / (y * u),w) | (y * (u * T(u \ z,w))) / (y * z) = x. (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). K(1 / (x / y),z) = K(y / x,z). K((x / (y * x)) \ 1,z) = K(y,z). K(x / y,z) \ 1 = K(z,(y / x) \ 1). (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). x * y != (z * x) * K(x \ 1,u) | T(z * K(x \ 1,u),x) = y. T(x * K(y \ 1,z),y) = y \ ((x * y) * K(y \ 1,z)). x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). x * y != (z * K(u \ 1,w)) * u | ((z * u) * K(u \ 1,w)) / y = x. ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). T(x,y) = R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)). R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). R(K(x,y \ 1),z,u) != w | K(x,R(y,z,u) \ 1) = w. K(x \ 1,R(y,z,u) \ 1) = K(R(x,z,u) \ 1,y \ 1). K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). R(K(x,y),y,z) != u | K(x,y) = u. K(x \ 1,y) = K(R(x,y,z) \ 1,y). K(R(x,y,z) \ 1,y) = K(x \ 1,y). R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). R(K(x,y),z,u) = K(R(x \ 1,z,u) \ 1,y). K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). R(R(K(x,y),z,u),w,v5) = K(R(R(1 / x,z,u),w,v5) \ 1,y). K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). R(K(x,y),z,u) \ w = K(y,R(x \ 1,z,u) \ 1) * w. K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. K((((x \ y) * z) / (y * z)) \ 1,u) = R(R(K(x,u),x,x \ y),y,z). R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). R(K(x,y),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). K((x / y) \ 1,z) != u | K(y / x,z) = u. K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). K((x * y) / (z * y),u) = R(K(x / z,u),x,y). R(K(x / y,z),x,u) = K((x * u) / (y * u),z). K(R(x,x \ y,z),u) = R(K(x,u),y,z). x != R(y,1,z) | y = x. K(x,y) = K(R(x,x \ 1,z),y). K(R(x,x \ 1,y),z) = K(x,z). K(R(x,y,z),u) = R(K(x,u),x * y,z). R(K(x,y),x * z,u) = K(R(x,z,u),y). K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. K(x,x \ 1) = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) = K(x,x \ 1). R(K(R(x,y,z),u),w,v5) = R(R(K(x,u),w,v5),x * y,z). R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). x * y != (z * R(u,w,v5)) / z | x \ R(u * K(z,u),w,v5) = y. R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). K(x,y \ x) = K(x,x / y). K(x,x / y) = K(x,y \ x). K(x,y) = K(x,(y \ x) \ x). K(x,(y \ x) \ x) = K(x,y). K(x,y) * z != u | u = K(y,x) \ z. K(x,y) * z != u | K(y,x) \ z = u. K(x,y) * (x * z) != u | u = T(x,y) * z. K(x,y) * (x * z) != u | T(x,y) * z = u. K(x,y) * (T(y,x) * z) != u | u = y * z. K(x,y) * (T(y,x) * z) != u | y * z = u. x * y != z * (u * T(u \ (z \ u),w)) | x \ (K(z \ 1,w) * u) = y. (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. (x \ 1) * (K(x,y) * z) = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). x != K(y,z \ 1) | K(y,1 / z) = x. K(x,1 / L(y,z,u)) = L(K(x,1 / y),z,u). L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). L(K(L(x,y,z),1 / x),y,z) != u | L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = u. L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). 1 / L(x,y,z) = (L(x,y,z) / x) \ (1 / x). (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). (L(x,y,z) / x) \ (1 / x) != u | L(1 / (1 / x),y,z) \ 1 = u. L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). 1 / (1 / L(x,y,z)) = L(1 / (1 / x),y,z). L(1 / x,y,z) \ 1 = 1 / L(x \ 1,y,z). 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. 1 / (1 / ((x * y) \ z)) = L(1 / (1 / (y \ (x \ z))),y,x). L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). 1 / (1 / ((1 / x) * y)) = L(1 / (1 / (x \ y)),x,1 / x). L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) != u | (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = u. (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). K(x,x \ 1) = K(L(x,y,z),L(x,y,z) \ 1). K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). x * y != K(L(z,u,w),L(z,u,w) \ 1) | x \ K(z,z \ 1) = y. L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). L(x,y,z) \ K(x,x \ 1) != u | x * (L(x,y,z) \ (1 / x)) = u. x * (L(x,y,z) \ (1 / x)) = 1 / L(x,y,z). x * y != L(z,u,w) \ K(z,z \ 1) | x \ (1 / L(z,u,w)) = y. x \ (1 / L(x,y,z)) = L(x,y,z) \ (1 / x). L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). K(x,y) * z != u | y * (T(y,x) \ z) = u. x * T(y,z) != (x * y) * u | K(((x * y) \ x) \ 1,z) = u. (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. x * K(y,x) != z | (y * x) / y = z. R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). (R(x,y,z) * u) * L(x,w,v5) = (((x * u) * L(x,w,v5)) / T(x,u)) * R(T(x,u),y,z). (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). K(x,y) * (R(x,z,u) * w) = R(x,z,u) * (K(x,y) * w). R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). K(x,y) * (R(y,z,u) * w) = R(y,z,u) * (K(x,y) * w). R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). R(x,y,z) \ K(x,u) = K(x,u) * (R(x,y,z) \ 1). K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). x * y != R(z,u,w) \ K(z,v5) | x \ (K(z,v5) * (R(z,u,w) \ 1)) = y. (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). x * y != L(1 / (1 / (z \ u)),z,1 / z) | x \ (1 / (1 / ((1 / z) * u))) = y. (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). (L(x,y,z) \ 1) \ 1 = L((x \ 1) \ 1,y,z). ((x \ (y * z)) \ 1) \ 1 = L((((y \ x) \ z) \ 1) \ 1,y \ x,y). L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. (((1 / x) * y) \ 1) \ 1 = L(((x \ y) \ 1) \ 1,x,1 / x). L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. L(T((x \ y) \ z,u),x \ y,x) != w | T(y \ (x * z),u) = w. T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. L(T((x \ 1) \ y,z),x \ 1,x) != u | T(x * y,z) = u. T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. x * y != T(z \ (u * w),w \ (u \ z)) | x \ (((z \ (u * w)) \ 1) \ 1) = y. (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). K(x \ y,(x \ y) \ 1) != z | K(x \ y,y \ x) = z. K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. x * y != T(a(z,u,w),w \ L(w,u,z)) | x \ ((a(z,u,w) \ 1) \ 1) = y. a(x,y,z) \ ((a(x,y,z) \ 1) \ 1) = K(a(x,y,z),z \ L(z,y,x)). K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. T(x,y) != z | x * K(x,y) = z. (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. x * y != (x \ 1) \ 1 | K(x,x \ 1) = y. K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). ((x / ((y * z) \ x)) \ 1) \ 1 = (u * K(y * z,z \ (y \ 1))) / ((y * z) \ u). (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). ((x * y) \ 1) \ 1 = (x * K(x * y,y \ (x \ 1))) * y. (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. x != K(y * z,(y * z) \ 1) | K(y * z,z \ (y \ 1)) = x. K(x * y,y \ (x \ 1)) = R(K(x * y,y \ (x \ 1)),z,u). R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). ((x * y) \ 1) \ 1 = (z * K(x * y,y \ (x \ 1))) / ((x * y) \ z). (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). x * y != L(((z \ u) \ 1) \ 1,z,1 / z) | x \ ((((1 / z) * u) \ 1) \ 1) = y. (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). x != y * (((y \ z) \ 1) \ 1) | z * K(y \ z,z \ y) = x. x * K(y \ x,x \ y) = (1 / y) \ ((((1 / y) * x) \ 1) \ 1). (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). 1 / L(K(x,y),z,u) != w | w = L(K(y,x),z,u). 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. x * (L(K(x,y),z,u) * w) = (x * L(K(x,y),z,u)) * w. (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). K(x,R(T(K(x,y),z),u,w)) = 1. L(T(K(x,y),z),u,w) = K(x,L(T(y \ 1,z),u,w) \ 1). K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). K(x,y * (z \ u)) = K(x,y * (((z \ 1) \ 1) \ u)). K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). 1 = K(R(x,y,z),x). K(R(x,y,z),x) = 1. (x / y) * K(y \ x,y) = y \ x. (x * T(y,z)) \ (x * K(y,z)) = L(y \ 1,T(y,z),x). T(K(x,y),z) * K(y,x) = K(K(x,y),z). L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). (x * K(y,x)) \ y = x \ (y * K(x,y)). ((x \ y) * x) * K(z,x) = ((z * x) / z) * T(((z * x) / z) \ (y * (x \ ((z * x) / z))),x). ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). R(x,y,R(x,z,u)) = T(x,y) * K(y * R(x,z,u),T(x,y)). T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. x * y != z * (K(u,w) * K(w,u)) | z / y = x. R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). K(x / y,z) != u | K((y / x) \ 1,z) = u. K((x / y) \ 1,x) = K(x \ y,x). K(x,T(y,y \ x)) = K(x,y). K(x * y,T(y,x)) = K(x * y,y). K(x * y,T(x,y)) = K(x * y,x). K(x,x \ (y * x)) != z | K(x,y) = z. T(x,y) = T(x,x \ ((1 / x) \ y)). T(x,x \ ((1 / x) \ y)) = T(x,y). ((x \ y) * x) / y != z | ((x \ y) * x) * (y \ 1) = z. ((x \ y) * x) * (y \ 1) = K(x \ y,x). x != K(y \ z,y) | ((y \ z) * y) / z = x. ((x \ y) * x) / y = T(K(x \ y,x),y). T(x,K(y \ x,y)) = x. R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). K(R(x,y,z),x \ 1) != u | R(x,y,z) * (1 / R(x,y,z)) = u. R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). x * y != K(R(z,u,w),z \ 1) | x \ K(z,z \ 1) = y. R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). R(x,y,z) * u != K(x,x \ 1) | (1 / x) * (R(x,y,z) \ x) = u. (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. x * R(K(x,y),z,u) = T(x,R(y \ 1,z,u) \ 1). T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). K(x \ (y \ 1),y * x) = K(x \ (y \ 1),(y \ 1) \ x). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). K(x \ (y \ z),z \ (y * x)) = K(x \ (y \ z),(y \ z) \ x). K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). L(x,y,K(z \ (u \ 1),u * z)) = x. K(x \ (y \ 1),y * x) / z = K(x \ (y \ 1),y * x) * (1 / z). K(x \ (y \ 1),y * x) * (1 / z) = K(x \ (y \ 1),y * x) / z. T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). K(x \ (1 / y),z) = K(x \ (y \ 1),z). K(x \ y,z) = K(T(x,x \ 1) \ y,z). K(T(x,x \ 1) \ y,z) = K(x \ y,z). K(x \ y,z) = K(((x \ 1) \ 1) \ y,z). K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). K(x \ 1,y) = K(x \ ((z \ 1) * z),y). K(x \ ((y \ 1) * y),z) = K(x \ 1,z). K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). K(x * (y \ 1),x) != z | K(y \ x,x) = z. K((x \ 1) \ y,y) = K(y * x,y). K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). K(x * R(y \ 1,z,u),w) = K(x * R(1 / y,z,u),w). K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). K((K(x,x \ 1) * y) \ z,u) = K(y \ 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(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). K(L(x,y,y \ 1) \ z,u) = K(((y \ 1) * (y * x)) \ z,u). K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). K(x,y) / x = 1 / (x * K(y,x)). 1 / (x * K(y,x)) = K(x,y) / x. (K(x,y) / x) \ 1 = x * K(y,x). 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). K((K(x,y) / x) * z,u) = K(((x * K(y,x)) \ 1) * z,u). K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). x != K(y \ 1,z) | K(1 / y,z) = x. K(1 / L(x,y,z),u) = L(K(1 / x,u),y,z). L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). x != L(1,y,z) | 1 = x. 1 = K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)). K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). (x \ 1) / (x \ L(x,y,z)) = (L(x,y,z) * (x \ 1)) \ (x \ 1). (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). x != (y \ 1) / (y \ L(y,z,u)) | L(y,z,u) \ 1 = x. L(x,y,z) \ 1 = (L(x,y,z) * (x \ 1)) \ (x \ 1). (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. K(x \ 1,x) = K(L(x,y,z) \ 1,x). K(L(x,y,z) \ 1,x) = K(x \ 1,x). x * (y * K(z \ 1,u)) != (x * y) * w | K(L(z,y,x) \ 1,u) = w. (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). K(L(x,y,z) \ 1,x) != u | (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = u. (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. x != T(y * K(z \ 1,z),z) | z * (T((z \ 1) \ 1,y) \ y) = x. x * (T((x \ 1) \ 1,y) \ y) = x \ ((y * x) * K(x \ 1,x)). x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). x \ (y * K(x \ 1,z)) = T((y / x) * K(x \ 1,z),x). T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). x \ (y * (1 / (1 / x))) = x * (T((x \ 1) \ 1,y) \ y). x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). R(x,y,K(y \ 1,z)) = R(x,K(y \ 1,z),y). R(x,K(y \ 1,z),y) = R(x,y,K(y \ 1,z)). x / y = (T(x,y \ 1) / y) * K(y \ 1,x). (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). (T(x,y \ 1) / y) \ (x / y) != z | K(y \ 1,(1 / y) \ (x / y)) = z. K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). K(x,(1 / y) \ z) != u | K(x,(y \ 1) \ z) = u. K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) != u | K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = u. K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,x * y) = z. K(x \ 1,x * y) = K(x \ 1,y * x). K(x \ 1,y * x) = K(x \ 1,x * y). x * K(y \ 1,x * y) = (y \ 1) * (x / (y \ 1)). (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). (x \ 1) * (y / (x \ 1)) != z | (1 / x) * (y / (1 / x)) = z. (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) != z | x * (y / x) = z. x * (y / x) = y * K((x \ 1) \ 1,y * (x \ 1)). x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). x * K(y,x * (y \ 1)) = y * (x / y). x * y != z * (x / z) | K(z,z \ x) = y. K(x,x \ y) = K(x,y * (x \ 1)). K(x,y * (x \ 1)) = K(x,x \ y). K(x,y * (z \ 1)) != u | K(x,y * (1 / z)) = u. K(x,y * (1 / x)) = K(x,x \ y). 1 / K(x,x \ y) = K(y * (1 / x),x). K(x \ y,x) = K(y * (1 / x),x). K(x * (1 / y),y) = K(y \ x,y). x != K(y \ z,y) | K((1 / y) * z,y) = x. K((1 / x) * y,x) = K(y * (1 / x),x). x != K(y \ ((1 / y) \ z),y) | K(z,y) = x. K(x,y) = K(((1 / y) \ x) * (1 / y),y). K(((1 / x) \ y) * (1 / x),x) = K(y,x). K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. K(x * (y \ 1),y) = K(y \ x,y). K(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). K(x,y) = K(y \ (x / (y \ 1)),y). K(x \ (y / (x \ 1)),x) = K(y,x). x * K(x * (y \ 1),y) = (y \ x) * y. K((x \ 1) \ y,x \ 1) != z | K(x * y,x \ 1) = z. K(x * y,x \ 1) = K(y * x,x \ 1). K(x * y,y \ 1) = K(y * x,y \ 1). x * K(x * y,y \ 1) = ((y \ 1) \ x) * (y \ 1). ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). (x * y) * z != x * (y * K((y \ (x \ u)) \ 1,w)) | K(((x * y) \ u) \ 1,w) = z. K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). K(((x * y) \ z) \ 1,(x * y) \ z) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),u,w)). K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). x != K((y \ z) \ 1,y \ z) | K(z \ y,y \ z) = x. K(x \ (y * z),(y * z) \ x) = K((z \ (y \ x)) \ 1,L(z \ (y \ x),u,w)). K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). x != K(y \ (z * u),(z * u) \ y) | K(y \ (z * u),u \ (z \ y)) = x. K(x \ (y * z),z \ (y \ x)) = K((z \ (y \ x)) \ 1,(y * z) \ x). K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). x != y * T(z,y) | z * y = x. (L(x,y,z) \ 1) * x = K(x \ 1,L(x,u,w)) * (x / L(x,y,z)). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. (L(x,y,z) \ 1) * x = x / L((x \ 1) \ 1,y,z). x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). x * K(y,z) = R(x / K(z,y),K(z,y),K(y,z)). R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). T(x * K(y,z),u) = R(T(x / K(z,y),u),K(z,y),K(y,z)). R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). R(K(x,y),z,u) * w = R(K(y,x),z,u) \ w. R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). x = R(K(y,z),u,w) * (R(K(z,y),u,w) * x). R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. x * y != R(z,u,w) \ ((z * u) * w) | (u * w) / y = x. (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). x * y != R(K(z,u),T(u,w),v5) | x \ K(z,u) = y. T(x,y) \ K(z,x) = (K(x,z) * T(x,y)) \ 1. (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). x != R(K(y,z),u,(K(z,y) * u) \ 1) | u * ((K(z,y) * u) \ 1) = x. x * ((K(y,z) * x) \ 1) = u / (R(K(y,z),x,(K(y,z) * x) \ 1) * u). x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. x != ((1 / y) / z) * T(((1 / y) / z) \ (z \ 1),u) | (y \ T(y * K(z \ 1,z),u)) / z = x. (x \ T(x * K(y \ 1,y),z)) / y = y \ K((y * ((1 / x) / y)) \ 1,z). x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. x != (y \ 1) * T((y \ 1) \ z,u) | y \ T(y * z,u) = x. x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). (1 / x) * (y \ T(y * x,z)) = K(((1 / x) * (y \ 1)) \ 1,z). K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). K(((1 / x) * y) \ z,u) != w | K(((x \ 1) * y) \ z,u) = w. K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). K(x * y,T(y,x)) != z | K(y * x,y) = z. K(x * y,x) = K(y * x,x). K(x * y,y) = K(y * x,y). x != K(y * z,y) | K((z \ 1) \ y,y) = x. K((x \ 1) \ y,y) = K(x * y,y). x != K(y * z,y) | K((1 / z) \ y,y) = x. K((1 / x) \ y,y) = K(x * y,y). x != K(y * (z \ 1),y) | K(z \ y,y) = x. K(x \ y,y) = K((x \ 1) * y,y). K((x \ 1) * y,y) = K(x \ y,y). K(x,y) * K(y * x,x) = x \ R(x,y,x). T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). K(x,(1 / y) * x) = K(y * ((1 / y) * x),(1 / y) * x). K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). K((x \ 1) * y,z) != u | K((1 / x) * y,z) = u. K((1 / x) * y,y) = K(x \ y,y). ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). K(x * y,y) * K(y,x) = y \ R(y,x,y). K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). (x * y) \ (K(x \ 1,x) * y) = T((x * y) \ y,T(x,z)). T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). x != (y * z) \ (K(y \ 1,u) * z) | T((y * z) \ z,u) = x. T((x * y) \ y,x) = T((x * y) \ y,T(x,z)). T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). x / y != K(z,u) | K(u,z) * x = y. K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. K(x,y / z) = K(x,(z / y) \ 1). K(x,(y / z) \ 1) = K(x,z / y). K(x,(y / z) \ 1) != u | K(x,z / y) = u. x != K(y,z) | R(K(y,z),z,u) = x. R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). K(x,(((y * z) * u) / ((x * z) * u)) \ 1) != w | K(x,R(y / x,x * z,u) \ 1) = w. K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). K(x,((y * x) / z) \ 1) != u | (y * (x * ((y \ z) / x))) / z = u. (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). K(x,1 / (y / z)) = K(x,z / y). K(x,y \ 1) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,z \ 1). K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). K(x,y \ 1) = K(x,(y \ z) / z). K(x,(y \ z) / z) = K(x,y \ 1). 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,y * (z \ 1)) = R(K(x,y / z),y,z \ 1). R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). K(x,(y * (z \ 1)) \ 1) = R(K(x,z / y),z,z \ 1). R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). K(x,R(y / z,u,w) \ 1) != v5 | R(K(x,z / y),u,w) = v5. R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). R(K(x,y),z,u) = K(x,(z * u) / ((y \ z) * u)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). K(x,R(y,z,u)) = R(K(x,y),y * z,u). R(K(x,y),y * z,u) = K(x,R(y,z,u)). K(x,R(R(y,z,u),z * u,w)) = R(K(x,R(y,z,u)),(y * z) * u,w). R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). K(x * y,x) = K(x * y,R(x,y,z)). K(x * y,R(x,y,z)) = K(x * y,x). T(K(x,R(y,z,u)),w) = R(T(K(x,y),w),y * z,u). R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. R(K(x,(y / z) / (u * x)),y / z,z) != w | ((u * (x * ((u \ (y / z)) / x))) * z) / y = w. ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). ((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)). K(T(x,y * z),u / (x * (y * z))) = K(T(x,y * z),u / ((y * T(x,y * z)) * z)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). K(x,(y / z) \ x) = K(x,(x * z) / y). K(x,(x * y) / z) = K(x,(z / y) \ x). K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x). K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). 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(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). R(K(x,y),z,z \ 1) = K(x,((y \ z) * (z \ 1)) \ 1). K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). K(x,1 / y) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,1 / z). K(((x * (y * z)) / z) \ 1,z / (y * z)) != u | K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = u. K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). x != K((y / z) \ 1,u) | K(z / y,u) = x. K(x / (y * (z * x)),z \ 1) = K((y / R(1 / z,z,x)) \ 1,x / (z * x)). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). K(x,y / (z * y)) != u | K(x,z \ 1) = u. K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). K(x / y,y) != z | K(y \ x,y) = z. K((x * y) \ y,x * y) = K(x \ 1,x * y). K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) != u | K((x / (y * x)) \ 1,z * (x / (y * x))) = u. K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). K((x / (y * x)) \ 1,z) != u | K(y,z) = u. K(x,y * (z / (x * z))) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. x * K(y \ 1,y * x) = ((y * x) \ x) * (y * x). ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). x != K(y \ z,y) | T(K(y \ z,y),z) = x. T(K(x \ y,x),y) = K((x / y) \ 1,x). K(x,y) = K((y / ((1 / y) \ x)) \ 1,y). K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). x * K(((x * ((x * y) \ x)) / x) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(x \ (x * y),z,u),x). T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). K(x,y) * (T(z,u) * K(y,x)) = T(K(x,y) * (z * K(y,x)),u). K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). (K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u). T(x * R(y,z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). x \ (((x * y) \ 1) \ 1) = y * K(1 \ (x * y),y \ (x \ 1)). x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). x * y != (1 / z) \ ((((1 / z) * x) \ 1) \ 1) | K(z \ x,x \ z) = y. K(x \ y,y \ x) = K((1 / x) * y,y \ ((1 / x) \ 1)). K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). (x \ y) * z != x \ (((u * (u \ y)) \ 1) \ 1) | K(y,y \ 1) = z. K(x,x \ 1) = K(y * (y \ x),(y \ x) \ (y \ 1)). K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). x * y != z * K(u * z,z \ (u \ 1)) | (u \ (((u * z) \ 1) \ 1)) / y = x. (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). 1 / K(x,x \ 1) = K((y \ x) \ (y \ 1),x). K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). x != 1 / K(y,z) | K(z,y) = x. K(x \ 1,x) = K((y \ x) \ (y \ 1),x). K((x \ y) \ (x \ 1),y) = K(y \ 1,y). K(x \ (y \ 1),y * x) = K((y * x) \ 1,y * x). K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). K((1 / x) * y,y \ x) = K(x \ y,y \ x). x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). x * K(y * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). x != y * K(z * y,y \ (z \ 1)) | z \ (((z * y) \ 1) \ 1) = x. x \ (((x * y) \ 1) \ 1) = (1 / x) * ((((1 / x) \ y) \ 1) \ 1). (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. x * y != ((z * y) \ 1) \ 1 | z * K(z * y,y \ (z \ 1)) = x. x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. (x \ (((x * y) \ 1) \ 1)) / (z \ y) != u | K(x * y,y \ (x \ 1)) * z = u. K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. K(x * y,y \ (x \ 1)) * z != u | z * K(x * y,y \ (x \ 1)) = u. (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. K(R(x,y,z),u \ x) = K(R(x,y,z),x * (u \ 1)). K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). K(x * y,(x * y) \ y) = K(y * x,x \ 1). x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). x / (y * (z * ((u \ (z \ (y \ x))) * u))) != w | K(u,x / (y * (u / (z \ 1)))) = w. K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). L(K(x,T(y,z)),T(y,z),z) = (y * z) \ (z * T(y * K(x,y),z)). (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. K(x * y,T(x,z)) = K(y * x,T(x,z)). K(x * y,T(y,z)) = K(y * x,T(y,z)). (x * y) \ ((x * K(z,x)) * y) = L(K(z,T(x,y)),T(x,y),y). L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). x != (y * z) \ ((y * K(u,y)) * z) | R(T(K(u,y),y * z),y,z) = x. R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). T(x,y) * K(T(x,y) \ y,T(x,y)) != z | y / (T(y,x) / x) = z. x / (T(x,y) / y) = T(y * K(T(y,x) \ x,y),x). T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). T(x * K(y,x),z) * u = T(x,z) * (K(y,T(x,z)) * u). T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). T(x,y) * L(K(z,T(x,y)),u,w) = T(x * K(L(z \ 1,u,w) \ 1,x),y). T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). T(x * L(K(y,x),z,u),w) = T(x,w) * L(K(y,T(x,w)),z,u). T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). T(x,y) * L(K(y,x),z,u) = T(x * L(K(y,x),z,u),y). T(x * K(x \ y,x),y) = y / (T(y,x) / x). T(x / (x / y),x) = x / (T(x,y) / y). T(x / (x / y),x) = x / (x / T(y,x)). x / (x / T(y,x)) = T(x / (x / y),x). T(x / (x / y),x) \ x = x / T(y,x). x * (x / (x / T(y,x))) = y * ((y \ x) * y). x != y * ((y \ z) * y) | ((y \ z) * y) * T(y,z) = x. ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). (x \ T(y,x)) * T(x,y) = (x \ y) * x. L(x,x \ y,x) \ y = y / T(x,y). T(x,K(y,y \ x)) = x. L(K(x,y),y \ 1,z) = (z * (y \ 1)) \ (z * (T(y,x) \ 1)). (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). x / T(y,x) = K(x,y) * (x / y). K(x,y) * (x / y) = x / T(y,x). x != y * K(z,z \ y) | z * (y / z) = x. x * (y / x) = T(y,z) * (K(z,y) * K(x,x \ y)). T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). (x * (y / x)) \ (K(x,x \ y) * (y * z)) = L(z,y,K(x,x \ y)). K(x,(x \ 1) * y) * y = x * (y / x). T(x,y \ 1) \ z != x \ (y \ x) | y \ T(x,y \ 1) = z. x \ T(y,x \ 1) = K(y,x \ 1) * (x \ y). K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). (T(x,y) \ 1) \ (x \ 1) = K(x,y). T(T(x,y),z) \ (y * K(T(x,z),y)) = T(x,z) \ y. T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). T(x * y,y) / T(x,y) = y * K(x * y,y). T(x * K(y,x),z) * (x \ y) = (x \ y) * T((x \ y) \ T(y,x),z). (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). x * y != T(z,u) * (K(w,T(z,u)) * v5) | (T(z * K(w,z),u) * v5) / y = x. (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. x * (K(y,x \ 1) * z) = K(y,x \ 1) * (x * z). K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,(y \ 1) \ 1) * z). (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). (x \ 1) * (K(y,x) * z) = K(y,x) * ((x \ 1) * z). K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). (x * y) * ((z * ((x * y) \ (u * y))) / z) != w | (x * ((z * (x \ u)) / z)) * y = w. ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). (x * K(y,z \ 1)) * y = (x * z) * (y * (L(z \ y,z,x) / y)). (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. x * T(y,z \ 1) = (x * K(y,z \ 1)) * y. (x * K(y,z \ 1)) * y = x * T(y,z \ 1). (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). (x * K(y,z)) * y = x * T(y,z). x * T(y * K(x,z),x) = y * T(x,z). x * y != z * T(x,u) | T(z * K(x,u),x) = y. T(x * K(y,z),y) = y \ (x * T(y,z)). x \ (y * T(x,z)) = T(y * K(x,z),x). x != K(y,z) * T(z,u) | T(z,u) * K(y,z) = x. T(x,y) * K(z,x) = (K(z,x) * K(x,y)) * x. (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). (x * T(y,z)) / y = x * K(y,z). (x * K(y,z)) \ (x * T(y,z)) = y. x * y != (1 / z) * T(z,u) | K(z,u) / y = x. K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / y. x * y != (z * u) * T(L(w,u,z),v5) | x \ (z * (u * T(w,v5))) = y. ((x * y) * K(L(z,y,x),u)) \ (x * (y * T(z,u))) = L(z,y,x). x * T(y,z) != (y * z) * T(T(y,z),u) | T(y,u) * z = x. T(x,y) * z = (x * z) * K(T(x,z),y). (x * y) * K(T(x,y),z) = T(x,z) * y. x * y != z * T(y,u) | (z / y) * T(y,u) = x. (x / y) * T(y,z) = x * K(y,z). x * y != (z * y) * T(y,u) | z * T(y,u) = x. x * T(y,z) = (x * y) * K(y,z). (x * y) * K(y,z) = x * T(y,z). x * y != (y \ T(z,y)) * T(y,z) | y \ z = x. x \ y = (x \ T(y,x)) * K(x,y). (x \ T(y,x)) * K(x,y) = x \ y. x * y != T(y * z,y) * T(y,z) | R(y,z,y) * z = x. R(x,y,x) * y = T(x * y,x) * K(x,y). T(x * y,x) * K(x,y) = R(x,y,x) * y. (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y * K(z,u),x). L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). (T(x,y) \ 1) * y = (x \ 1) * T(y,x). K(((x * y) \ x) \ 1,z) = K(y,z). (x / y) \ (x * K(y,z)) = T(y,z). (x * K(y,z)) / T(y,z) = x / y. x * K(y \ x,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K(x \ y,z). K(x,y) * z != u * T(x,y) | T(u * x,K(x,y)) = z. T(x * y,K(y,z)) = K(y,z) \ (x * T(y,z)). K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). (x * T(y,z)) / K(y,z) = x * y. (x * y) \ (x * T(y,z)) = K(y,z). x * y != T(z,u) * T(u,z) | (z * u) / y = x. (x * y) / K(y,x) = T(x,y) * y. x * y != (z / u) * u | x \ z = y. ((x / T(y,z)) * y) \ x = K(y,z). (x * y) * K(y,z) != x * u | T(y,z) = u. (x * y) \ (x * T(y,z)) != u | u = K(y,z). (x * y) \ (x * T(y,z)) != u | K(y,z) = u. x * T(x \ y,z) != u | y * K(x \ y,z) = u. (x * y) * K(y,z) = x * (y * K(y,z)). ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). (x * y) * K(y * x,z) = K(x,y) * T(y * x,z). x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. R(x,y,K(y,z)) = x. L(K(x,y),x,z) = K(x,y). x != K(y,z) | L(K(y,z),y,u) = x. L(K(x,y),x,z) = L(K(x,y),x,u). x != K(y,z) | R(K(y,z),y,u) = x. R(K(x,y),x,z) = L(K(x,y),x,u). L(K(L(x,y,z),u),L(x,y,z),z * y) != w | (z * (y * x)) \ (z * (y * T(x,u))) = w. (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). R(K(x,y),z,u) = L(R(K(x,y),z,u),x,w). L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,L(K(z,u),z,x * y)). R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). L(L(K(x,y),x,z),z * x,u) = K(L(x,z,u),y). L(K(x,y),z * x,u) = K(L(x,z,u),y). 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). x != L(y,z,u) | (u * z) \ (u * (z * y)) = x. (x * y) \ (x * (y * K(z,u))) = K(L(z,y / z,x),u). K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). L(K(x,y),z,u) \ 1 = K(y,L(x,z / x,u)). K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. x * y != K(z \ 1,z) * T(u,z) | x \ T(u * K(z \ 1,z),z) = y. x \ T(x * K(y \ 1,y),y) = T(K(y \ 1,y) * K(x,y),x). L(x,K(x,y),z) = x. K(x \ 1,y) = K(L(x \ 1,x,z),y). K(L(x \ 1,x,y),z) = K(x \ 1,z). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). L(K(x,y),y \ 1,y) != z | K(x,y) = z. K(x \ (y \ 1),y) = K((y * x) \ 1,y). K((x * y) \ 1,x) = K(y \ (x \ 1),x). x * K((y * z) \ x,u) = y * ((y \ x) * K(z \ (y \ x),u)). x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). x * K((y \ 1) \ x,z) = y \ T(y * x,z). x \ T(x * y,z) = y * K((x \ 1) \ y,z). x * K(y \ x,z) = K(x / y,z) * x. K(x / y,z) * x = x * K(y \ x,z). (x \ y) \ (x \ T(y,z)) = K((x \ 1) \ (x \ y),z). K((x \ 1) \ (x \ y),z) = (x \ y) \ (x \ T(y,z)). x != L(K(y,z),u,w) \ 1 | L(K(z,y),u,w) = x. L(K(x,y),z,u) = K(x,L(y,z / y,u)). K(x,L(y,z / y,u)) = L(K(x,y),z,u). K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = 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 * (z / u)) \ (y * z)) = L(K(x,u),z,y). K(x,L(1 / y,y,z)) = K(x,1 / y). x * ((y \ (x \ z)) * y) = z * K((x * y) \ z,y). x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). K((x * y) \ 1,y) = x * ((y \ (x \ 1)) * y). x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). K((x \ y) \ 1,z) = K(y \ x,z). T(K(x,y),z) = K((x \ z) \ z,y). K((x \ y) \ y,z) = T(K(x,z),y). 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 \ (x * z)) * y) / z) = K((y / z) \ x,y). x \ (y * (z * T(z \ (y \ x),u))) = L(K(z \ (y \ x),u),y \ x,y). L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). (x * y) \ ((z * T(z \ x,x)) * y) = R(T(K(z \ x,x),x * y),x,y). R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). ((x * T(x \ (y / z),y / z)) * z) / y = R(K(x \ (y / z),y / z),y / z,z). R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. x != T(K(y,z),z) | K(y,z) = x. K(x,y) = K((x \ y) \ y,y). K((x \ y) \ y,y) = K(x,y). K((x \ 1) \ 1,y) != z | z = K(x,y). K((x \ 1) \ 1,y) != z | K(x,y) = z. x * (y * K((x \ 1) \ y,z)) = T(x * y,z). (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(x \ (x * y),z,u),x). T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). x != K(y \ ((z \ 1) * z),u) | K(y \ 1,u) = x. K(((x \ 1) * y) \ 1,z) = L(K(y \ x,z),x,x \ 1). L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). x != K((1 / y) * z,u) | K((y \ 1) * z,u) = x. K((x \ 1) * y,z) = L(K(x \ y,z),y,x \ 1). L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,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)). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). L(K(x,y),x,z) != u | K(x,y) = u. K(x,(y \ z) \ x) = K(x,z \ (y * x)). L(x,K(y,z),z) != u | x = u. K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). (T(x,x \ T(y,z)) / y) * T(y,z) != u | (x / y) * T(x * (y / x),z) = u. (x / y) * T(x * (y / x),z) = T(x,x \ T(y,z)) * K(y,z). T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). x * y != (z / u) * T(u,w) | (z * K(u,w)) / y = x. (x * K(y,z)) / y = (x / y) * K(y,z). (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). T(x,y) = L(T(x,y),K(x,z),u). L(T(x,y),K(x,z),u) = T(x,y). (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). x != K(y \ T(z,z \ 1),u) | K(y \ z,u) = x. K(x \ y,z) = K((T(y,y \ 1) \ x) \ 1,z). K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). K(x \ y,y \ x) = K((y \ x) \ 1,(x \ y) \ 1). K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). K(x \ 1,y) = K((z * x) \ z,y). K((x * y) \ x,z) = K(y \ 1,z). K(T(x,y) \ 1,z) = K((x * y) \ y,z). K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). K(x \ y,z) \ 1 = K(z,(y \ x) \ 1). x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). K(x \ y,z \ (x \ y)) = K(x \ y,(x * z) \ y). K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). L(K(x,T(y,y * z) \ (z \ u)),z \ u,z) = K(x,(L(y,z,y) * z) \ u). L(K(x,y),z \ u,z) = K(x,(z * ((z \ u) / y)) \ u). K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). (x * y) * K(y,z) != u | u = x * T(y,z). (x * y) * K(y,z) != u | x * T(y,z) = u. x * y != z * ((u \ (z \ x)) * u) | K((z * u) \ x,u) = y. K((x * y) \ z,y) = K((y * x) \ z,y). K(x,y \ x) = K(x,(z * y) \ (z * x)). K(x,(y * z) \ (y * x)) = K(x,z \ x). T(x,(y \ z) \ 1) = T(x,z \ y). T(x,y \ 1) != z | T(x,1 / y) = z. T(x,1 / (y \ z)) = T(x,z \ y). T(x,y \ 1) = T(x,(z * y) \ z). T(x,(y * z) \ y) = T(x,z \ 1). T(x,T(y,z) \ 1) = T(x,(y * z) \ z). ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). ((x * y) \ x) \ x = T(x * y,y \ 1). T(x * y,y \ 1) = ((x * y) \ x) \ x. x != T(K(y,z),z \ 1) | K(y,z) = x. K(x,y) = T(K(x,y),(z * y) \ z). T(K(x,y),(z * y) \ z) = K(x,y). x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). K((x \ y) \ z,y) = K((y / x) \ z,y). K((x / y) \ z,x) = K((y \ x) \ z,x). L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). K((x * (y \ z)) \ u,z) = K((x * (z / y)) \ u,z). K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). K((x * (y / x)) \ z,y) = K(y \ z,y). K(((x \ y) * x) \ z,y) = K(y \ z,y). (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). K(x,(1 / y) * x) = K(x,y \ x). K(x,y * x) = K(x,(y \ 1) \ x). K(x,(y \ 1) \ x) = K(x,y * x). K(x,y \ (K(z,u) * x)) = K(x,(K(u,z) * y) \ x). K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). x * K(x,y \ x) = T(x,(z * y) \ (z * x)). T(x,(y * z) \ (y * x)) = x * K(x,z \ x). x != y * K(y,z) | T(y,z) = x. T(x,y \ x) = T(x,(z * y) \ (z * x)). T(x,(y * z) \ (y * x)) = T(x,z \ x). T(x,y \ (z * x)) = T(x,(z \ y) \ x). T(x,(y \ z) \ x) = T(x,z \ (y * x)). x * (y * K(z,(x \ u) \ y)) != (x * y) * w | K(z,u \ (x * y)) = w. (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. (x * y) * K(z,x * y) = x * (y * K(z,(x \ 1) \ y)). x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). K(x,(y \ 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,y * (L(y,z,u) \ x)) = K(x,(x / L(y,z,u)) * y). K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). x != K(y,((1 / z) * u) \ w) | K(y,((z \ 1) * u) \ w) = x. K(x,((y \ 1) * z) \ 1) = L(K(x,z \ y),y,y \ 1). L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). L(K(x,y),z,z \ 1) = K(x,((z \ 1) * (z / y)) \ 1). K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). 1 / ((x * y) \ x) = T(1 / ((x * y) \ x),y). T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). x * y != T(x,z) * x | T(x,z) = y. T(1 / ((x * y) \ x),z) = T(T(1 / ((x * y) \ x),z),y). T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). x / T(y * x,T(y,x) \ 1) = (y * x) \ x. K(x \ 1,y) != z | K(u / (x * u),y) = z. K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). (x * y) * z != x * (y * K(u,(x \ 1) \ y)) | K(u,x * y) = z. K((x \ y) \ z,x * z) = K(y \ (x * z),(x \ 1) \ z). K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). x * (y * K((x \ z) \ y,u)) != (x * y) * w | K(z \ (x * y),u) = w. (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),z * (z \ y)). K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). K((x \ y) \ (x \ z),z) = K(y \ z,(x \ 1) \ (x \ z)). K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). K(x \ R(y,z,u),R((T(y,w) \ 1) \ K(w,y),z,u)) = K((T(y,w) \ x) \ (T(y,w) \ R(y,z,u)),R(y,z,u)). K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). T(x * L(y,z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). (x \ y) * K((x \ 1) \ (x \ y),z) != u | u = x \ T(y,z). (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. K(x,y \ z) = K(x,(z \ y) \ 1). K(x,(y \ z) \ 1) = K(x,z \ y). K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. K(x,1 / (y \ z)) = K(x,z \ y). K(x,((y * z) \ y) \ 1) = K(x,z). K(x,a(y,z,u) \ 1) = K(x,((y * z) * u) \ (y * (z * u))). K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). K(x,y \ 1) = K(x,z \ (z / y)). K(x,y \ (y / z)) = K(x,z \ 1). K(x,((y \ 1) * z) \ 1) = K(x,L(z,y \ 1,y) \ y). K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). T(x \ y,K(z,y \ x)) = x \ y. K(x,a(y,z,z \ 1) \ 1) = K(x,R(y,z,z \ 1) \ y). K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). 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,(y / z) \ 1) * z = z * K(x,y \ z). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). x * K(y,z \ x) = z * ((y * (z \ x)) / y). K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. K(x,1 / (y \ z)) != u | K(x,z \ y) = u. K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. x * (y / x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). K(x,y / z) * y = y * K(x,z \ y). x * y != x * K(z,u \ x) | T(K(z,x / u),x) = y. T(K(x,y / z),y) = K(x,z \ y). 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,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). x != y * K(z,u \ y) | K(z,(u / y) \ 1) * y = x. K(x,((x * y) / z) \ 1) * z = (K(x,x \ (z / y)) * (z / y)) * y. (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). x != K(y,y \ z) | K(y,z / y) = x. K(x,y / x) = K(x,1 / (y \ x)). K(x,1 / (y \ x)) = K(x,y / x). K(x,1 / L(y,z,u)) = K(x,(u * (z * y)) \ (u * z)). K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). K(x,1 / y) = K(x,z \ (z / y)). K(x,y \ (y / z)) = K(x,1 / z). K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,u \ K(z,y)) = w. 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). K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). x != K(y,z \ 1) | K(y,u / (z * u)) = x. K(x,y / (z * y)) = K(x,u \ (u / z)). K(x,y \ (y / z)) = K(x,u / (z * u)). K(x * y,y \ 1) != z | K((y \ 1) \ x,y \ 1) = z. K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). K(T(x,y) \ 1,T(x,z)) != u | K(x \ 1,x) = u. K(x \ 1,x) = K((x * y) \ y,T(x,z)). K((x * y) \ y,T(x,z)) = K(x \ 1,x). K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). R(x,y,T(z,u)) = R(R(x,y,z),y * z,L(K(z,u),z,x * y)). R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = R(x,y,T(z,u)). R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). x * R(K(y,z),u,w) = (x / y) * (y * R(K(y,z),u,w)). (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). x != (y \ T(z,u)) * y | T((y \ z) * y,u) = x. T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). T(x * (y / x),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). T(x * (y / x),z) / T(y,z) = K(x * K(y,z),(x / y) \ 1). K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). (x * y) * K(y * x,z) != K(x,y) * u | T(y * x,z) = u. K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. 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)). x * T(y / x,T(x,z)) = T(y,K(x,z)). x \ T(y,K(x,z)) = T(y / x,T(x,z)). T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. x != R(y,z,K(z,u)) | x = y. R(x,y,K(y,z)) != u | u = x. (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). (x * R(x \ (x * y),z,u)) * K(y,w) = R(x,y,K(y,w)) * (R(y,z,u) * K(y,w)). R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). x * (R(y,z,u) * K(y,w)) = (x * R(y,z,u)) * K(y,w). (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ R(x,u,w)). K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). x * y != K(((z * u) \ z) \ 1,w) | x \ K(u,w) = y. ((x * y) \ x) \ K(y,z) = T(((x * y) \ x) \ 1,z). T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. (x * (K(y,x) / x)) * x = T(x,x \ 1) * K(y,x). T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. x * y != (z * (y / z)) * z | R(z,z \ y,z) = x. R(x,x \ K(y,x),x) = T(x,x \ 1). R(x,T(x,y) \ 1,x) = T(x,x \ 1). T(T(x,x \ 1),y) = R(T(x,y),T(x,z) \ 1,x). R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). (x \ T(y,x)) \ (x \ y) = K(x,y). x \ y != z * K(x,y) | x \ T(y,x) = z. x * K(y,z) != y \ z | y \ T(z,y) = x. (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). K(x \ y,y) = K(y / x,y). K(x / y,x) = K(y \ x,x). (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. K((x / y) \ 1,y) = K(x \ y,y). R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). x != K((y * z) \ y,u) | K(z \ 1,u) = x. K(x \ 1,y) = K(((y * x) / y) \ 1,y). K(((x * y) / x) \ 1,x) = K(y \ 1,x). (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). (x * y) * ((y * x) \ y) = y * K(x,y). x \ (y * K(x / y,y)) = (y * (x / y)) \ y. x != ((y * z) \ y) \ u | L(z \ 1,z,y) \ u = x. L(x \ 1,x,y) \ y = T(y * x,x \ 1). x / T(x * y,y \ 1) = L(y \ 1,y,x). x != T(y,z \ 1) | T(y,1 / z) = x. T(x * y,1 / y) = L(y \ 1,y,x) \ x. L(x \ 1,x,y) \ y = T(y * x,1 / x). x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). x / T(x * ((x / y) / x),y) = L(((x / y) / x) \ 1,(x / y) / x,x). L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). L(((x / y) / x) \ 1,(x / y) / x,x) != z | (T(x,y \ 1) / y) \ x = z. (T(x,y \ 1) / y) \ x = x / (y \ T(x,y \ 1)). x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. x / ((y \ 1) \ T(x,y)) = (T(x,(y \ 1) \ 1) / (y \ 1)) \ x. (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). (T(x,y) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). x != ((y \ z) \ z) * z | y * (y * (z / y)) = x. x * (x * (y / x)) = (y * ((x \ y) \ y)) * K(x,y). (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). K(x,(1 / y) * x) != z | K(y * ((1 / y) * x),(1 / y) * x) = z. K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). K(x * y,y) != z | K(y * x,y) = z. K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). x != K(y,(z \ u) \ y) | K(y,u \ (z * y)) = x. K(x,y \ (z * x)) = K(((1 / (z \ y)) * x) * (z \ y),(1 / (z \ y)) * x). K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. K(x,x * (y / x)) = K(x,y). K(x,x * y) = K(x,y * x). K(x,y * x) = K(x,x * y). K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). K(x,T(x * (y / x),z)) = K(x,T(y,z)). K(x,y * x) != z | K(x,(y \ 1) \ x) = z. K(x,(y \ 1) \ x) = K(x,x * y). K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. K(x,y \ x) = K(x,x * (y \ 1)). K(x,x * (y \ 1)) = K(x,y \ x). K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). K(x,T(x * y,z)) = K(x,T(y * x,z)). K(x,T(y * x,z)) = K(x,T(x * y,z)). K(x \ y,T(T((x \ y) * x,z),u)) = K(x \ y,T(T(y,z),u)). R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. K(x \ (y / z),(z / y) \ 1) = ((x * T(x \ (y / z),y / z)) * z) / y. ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). x != (y * z) \ ((u * T(u \ y,w)) * z) | K(((y * z) \ (u * z)) \ 1,w) = x. K(((x * y) \ (z * y)) \ 1,x) = R(T(K(z \ x,x),x * y),x,y). R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). x != R(y,z,1 / u) | R(y,z,u \ 1) = x. R(1 / x,y,x \ 1) = T(K(y * (x \ 1),x \ 1) / x,y). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. (1 / x) * (K(x,y) * z) = K(x,y) * ((1 / x) * z). K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). x * y != (1 / z) * (K(z,u) * w) | (K(z,u) * ((1 / z) * w)) / y = x. (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. x * y != (1 / z) * (K(z,u) * w) | x \ (K(z,u) * ((1 / z) * w)) = y. (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). x != K((y / z) \ y,u) | K(z,u) = x. K(x,y) = (K(x,z) * (K(x,y) * u)) / (K(x,z) * u). (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. K(x,y) * (K(y,z) * u) = K(y,z) * (K(x,y) * u). K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). x * y != z * (K(u,w) * K(w,u)) | x \ z = y. K(x,y) \ K(z,x) = K(z,x) * K(y,x). K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. K(x,y) * (L(K(z,x),u,w) * v5) = K(L(z,u / z,w),x) * (K(x,y) * v5). K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). K(x,y) * (z * K(x,u)) = K(x,u) * (K(x,y) * T(z,K(x,u))). K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). (x \ 1) \ K(y,x * K(y,x)) = T(x * K(y,x),(x * K(y,x)) \ 1). T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). x != K(y,R(T(z,z \ 1),u,w)) | K(y,R(z,u,w)) = x. K(x \ R(y,z,u),R(y,z,u)) = K((T(y,w) \ x) \ (T(y,w) \ R(y,z,u)),R(y,z,u)). K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). x != K(y \ z,y) * ((y \ z) \ u) | (z / y) \ u = x. (x / y) \ z = (y \ x) \ (K(y \ x,y) * z). (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). K(x,R(y,K(y,z) * (y \ u),w)) = R(K(x,y),K(y,z) * u,w). K(x,y) * (R(K(y,x),z,u) * w) = (K(x,y) * R(K(x,y) \ 1,z,u)) * w. (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). x != y * ((1 / (1 / z)) / y) | T(y * ((1 / (1 / z)) / y),K(u,z)) = x. T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). (x \ 1) * (y * (x / y)) = K(x \ 1,x) * K(y,y \ x). K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). (1 / x) * (y * (x / y)) = K(y,y \ x). x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). (x \ 1) * K(x,y) = x \ K(x,y). T(x,x \ K(x,y)) = (x \ 1) \ 1. ((x * (1 / y)) / x) \ 1 = (1 / y) \ K(y \ 1,x). T(x,y \ K(y,z)) = T(x,z / (z * y)). (L(x,y,x) * y) \ 1 = (y * x) \ K(y * x,x). (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. K(x * (y \ K(y,z)),x) = K(((z * y) / z) \ x,x). K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). (K(x,y \ 1) / y) \ 1 = (1 / y) \ K(y \ 1,x). K(x,y) \ (1 / y) = 1 / (y * K(x,y)). 1 / (x * K(y,x)) = K(y,x) \ (1 / x). 1 / (x * K(y,x)) != z | K(x,y) / x = z. K(x,y) / x = K(y,x) \ (1 / x). K(x,y) \ (1 / y) = K(y,x) / y. K(x,y \ 1) \ y = K(y \ 1,x) / (y \ 1). K(x \ 1,y) / (x \ 1) = K(y,x \ 1) \ x. (x \ y) * T((x \ y) \ T(y,x),z) != u | x \ (y * T(x,z)) = u. x \ (y * T(x,z)) = T(x * K(y,x),z) * (x \ y). T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). K(x,y) * T(x,z) = x * (K(x,y) * K(x,z)). x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. R(x,y,z) * T(u,u * x) = K(u,u * x) * (R(x,y,z) * u). K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. L(x,y,z) * T(u,u * x) = K(u,u * x) * (L(x,y,z) * u). K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). K(x,(1 / x) * y) * y = x * (y / x). K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). K(x,L(y,x,x \ 1)) * (y * x) = x * y. x * (y * z) != z * y | K(z,y) = x. K(x,y) = K(x,L(y,x,x \ 1)). K(x,L(y,x,x \ 1)) = K(x,y). K(x,y) != z | K(R(x,x \ 1,u),y) = z. K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). T(T(x,y),z) * (T(x,z) \ y) = y * K(T(x,z),y). T(x,x * y) \ ((y * x) * K(x,y * x)) = T(y,x). L(T(x,y),z,u) = L(L(T(x,y),z,u),K(x,w),v5). L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). (x * K(y,z)) * L(T(y,u),w,v5) = x * (K(y,z) * L(T(y,u),w,v5)). (x \ 1) * ((y \ x) * y) = T((x \ 1) * ((y \ x) * y),x). T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). T(x \ K(x * y,x \ 1),y * x) = x \ 1. R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. (x \ K(y,x)) \ (x \ 1) = K(x,y). L(K(x,y),x,z) != u | u = K(x,y). R(K(x,y),x,z) != u | u = K(x,y). T(K(x,y),L(y,z,u)) != w | K(x,y) = w. K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). T(x,1 / y) = T(x,z \ (z / y)). T(x,y \ (y / z)) = T(x,1 / z). K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). x / (((y \ (x / z)) * y) * z) = R(K(y,y \ (x / z)),x / z,z). R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). R(K(x,x \ (y / z)),y / z,z) != u | K(x,((x * z) / y) \ 1) = u. K(x,((x * y) / z) \ 1) = z / (((x \ (z / y)) * x) * y). x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). x != K(y,(z / u) \ 1) | K(y,u / z) = x. K(x,y / (x * z)) = y / (z * ((x \ (z \ y)) * x)). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). x / (y * ((z \ (y \ x)) * z)) != u | K(z,x / (z / (y \ 1))) = u. K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). (x \ 1) * (x * y) = (x * y) * T(x \ 1,y * x). (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). T(x \ 1,x * y) = T(x \ 1,y * x). T(x \ 1,y * x) = T(x \ 1,x * y). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) != w | T((x \ 1) * L((x \ 1) \ 1,z,u),x * y) = w. T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). T(x,x * y) \ ((x * (y * x)) / x) = T(y,x). R(K(x,y),z,u) \ w != v5 | R(K(y,x),z,u) * w = v5. R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). K(x \ y,x) * ((y / x) * z) = (x \ y) * z. (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). (((x * (y * x)) / x) / y) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z). T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * (y * z). T(x,x * y) * (T(y,x) * z) = L(x,y,x) * (y * z). T(x,y) * (T(y / x,x) * z) = L(x,y / x,x) * ((y / x) * z). L(x,y / x,x) * ((y / x) * z) = T(x,y) * (T(y / x,x) * z). L(x,y / x,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). L(x,x \ y,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). x * y != K(z,z \ L(K(u,z),w,v5)) | K(z,z \ 1) / y = x. K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). x != ((1 / y) \ z) * (1 / y) | ((y \ 1) \ z) * (y \ 1) = x. (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = T(y,y \ x) / (x \ y). T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). x != (((y \ z) \ 1) \ y) * ((y \ z) \ 1) | z * (y / z) = x. x * (y / x) = T(x,x \ y) / (y \ x). T(x,x \ y) / (y \ x) = x * (y / x). (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). T(x,y / x) / (y \ x) = x * (y / x). x != (y / z) * (y / (y / z)) | (z \ y) * z = x. (x \ y) * x = (x \ y) / (y \ (y / x)). (x \ y) / (y \ (y / x)) = (x \ y) * x. L(x \ 1,x,x \ y) = y \ (y / x). L(x \ 1,x,y) = (x * y) \ ((x * y) / x). (x * y) \ ((x * y) / x) = L(x \ 1,x,y). (x * y) \ ((x * y) / x) != z | L(x \ 1,T(x,y),y) = z. L(x \ 1,T(x,y),y) = L(x \ 1,x,y). T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). L(T(x,y) \ 1,x,y) = (x * y) \ y. L(T(x,y) \ 1,x,y) != z | (y * x) \ T(y,x) = z. (x * y) \ T(x,y) = (y * x) \ x. x \ T(y,y \ x) = ((y \ x) * y) \ y. ((x \ y) * x) \ x = y \ T(x,x \ y). (x * y) * ((y * x) \ x) = T(x,y). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) != z | y \ 1 = z. x \ 1 = (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y). (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. ((x \ (x / y)) * x) \ x = (x / y) \ T(x,y \ 1). (x / y) \ T(x,y \ 1) = ((x \ (x / y)) * x) \ x. x * (T(T(x,y),y) \ z) = K(y,x) * (K(y,x) * z). K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. K(x,y) * T(x,z) = K(x,z) * T(x,y). K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). T(x,x * y) * K(y,x) = L(x,y,x). L(x,y,x) * z = K(y,x) * (T(x,x * y) * z). K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z. x * y != T(z,z * u) * K(u,z) | x \ L(z,u,z) = y. x \ L(x,y,x) = K(x,x * y) * K(y,x). K(x,x * y) * K(y,x) = x \ L(x,y,x). (x / (x / y)) \ z = K(y,x / y) * (y \ z). (x * K(y,x)) \ z = K(x,y) * (x \ z). (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). (x * (y * T(y \ (x \ z),z / y))) / z != u | K(x \ (z / y),(y / z) \ 1) = u. K(x \ (y / z),(z / y) \ 1) = K(((x * z) / y) \ 1,y / z). K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). (1 / x) \ y != T((1 / x) \ (z / x),u) | T(z,u) / x = y. T(x,y) / z = K(((1 / z) / (x / z)) \ 1,y) * (x / z). K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. (T(x,y) / z) / (x / z) = K(((1 / z) / (x / z)) \ 1,y). K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). x * (K(y \ 1,z) * (z \ 1)) = (x * K(y \ 1,z)) * (z \ 1). (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). x * y != (z * K(u \ z,u)) * (u \ 1) | x \ T(z * (u \ 1),u) = y. x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. x * y != (z * K(u,w)) * (w \ 1) | x \ (z * (T(w,u) \ 1)) = y. (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. (((x \ y) \ y) \ 1) * y = T((x \ 1) * y,x). T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. T((x \ 1) * y,x) != z | (((x \ 1) * y) \ y) \ y = z. (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. x != y * T(y \ z,u) | z * K((z \ y) \ 1,u) = x. x * K((x \ y) \ 1,z) = K((y / x) \ 1,z) * x. K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,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). K(((x * y) / (z * y)) \ 1,u) * (z * y) != w | (K((x / z) \ 1,u) * z) * y = w. (K((x / y) \ 1,z) * y) * u = (y * u) * K(((y * u) \ (x * u)) \ 1,z). (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. x * y != (z * x) * K(((z * x) \ (u * x)) \ 1,w) | T(z * K((z \ u) \ 1,w),x) = y. T(x * K((x \ y) \ 1,z),x) = x * K((x \ (x \ (y * x))) \ 1,z). x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). x * K((x \ T(y,x)) \ 1,z) = T(x * K((x \ y) \ 1,z),x). x * K((x \ y) \ 1,z) != u | y * T(y \ x,z) = u. T(x,y) * T(T(x,y) \ y,z) = T(y * K((y \ x) \ 1,z),y). T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). T(x * K(y \ x,z),x) = T(y,x) * T(T(y,x) \ x,z). T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). x * y != T(z,u) * T(T(z,u) \ u,w) | x \ T(u * K(z \ u,w),u) = y. x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). x \ T(x * K(y,z),x) = K(T(x / y,x) \ x,z). x * y != ((1 / z) * x) * T(((1 / z) * x) \ x,u) | T(K(z,u),x) = y. T(K(x,y),z) = K(T(1 / x,z) \ 1,y). K(T(1 / x,y) \ 1,z) = T(K(x,z),y). x * y != (z * x) * T((z * x) \ x,u) | T(K(z \ 1,u),x) = y. T(K(x \ 1,y),z) = K(T(x,z) \ 1,y). K(1 / T(x,y),z) = T(K(1 / x,z),y). T(K(1 / x,y),z) = K(1 / T(x,z),y). L(T(K(x,y),z),u,w) = K(L(T(1 / x,z),u,w) \ 1,y). K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). K(T(1 / x,K(x,y) * z) \ 1,u) = L(T(K(x,u),z),z,K(x,y)). L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). x != K(T(1 / y,z) \ 1,u) | T(K(y,u),z) = x. T(K(x,y),K(x,z) * u) = L(T(K(x,y),u),u,K(x,z)). L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). x * L(T(K(y,z),K(y,u) * (K(y,u) \ x)),w,v5) = K(y,u) * ((K(y,u) \ x) * L(T(K(y,z),K(y,u) \ x),w,v5)). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). L(K(x,y),z,u) * w = K(x,v5) * ((K(x,v5) \ w) * L(T(K(x,y),K(x,v5) \ w),z,u)). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. x != L(y,z,u) * L(L(y,z,u) \ 1,w,v5) | L(y * L(y \ 1,w,v5),z,u) = x. L(K(x,y) * L(K(x,y) \ 1,z,u),w,v5) = K(x,v6) * (L(K(x,y),w,v5) * (K(v6,x) * L(L(K(x,y),w,v5) \ 1,z,u))). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). T(K(x,y),z) = K(T(x \ 1,z) \ 1,y). K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). T(K(x \ K(y,z),u),w) = K(T(K(z,y) * x,w) \ 1,u). K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). K(x \ 1,y) = T(K(x \ K(x,z),y),z). T(K(x \ K(x,y),z),y) = K(x \ 1,z). T(x,y) != K(z \ 1,z) | K(z \ 1,z) = x. K(x \ 1,x) = K(x \ K(x,y),x). K(x \ K(x,y),x) = K(x \ 1,x). x * K(y \ 1,z) = K(y \ K(y,x),z) * x. K(x \ K(x,y),z) * y = y * K(x \ 1,z). K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. K(x,y) / (K(x,y) / x) = x * K(x \ 1,x). x != y * K(y \ z,y) | z / (z / y) = x. 1 / (1 / x) = K(x,y) / (K(x,y) / x). K(x,y) / (K(x,y) / x) = 1 / (1 / x). (1 / (1 / x)) \ K(x,y) = K(x,y) / x. (1 / x) \ K(x \ 1,y) = K(x \ 1,y) / (x \ 1). K(x \ 1,y) / (x \ 1) = (1 / x) \ K(x \ 1,y). K(x \ 1,y) / (x \ 1) != z | K(y,x \ 1) \ x = z. K(x,y \ 1) \ y = (1 / y) \ K(y \ 1,x). (1 / x) \ K(x \ 1,y) = K(y,x \ 1) \ x. (1 / x) \ K(x \ 1,y) != z | (K(y,x \ 1) / x) \ 1 = z. (K(x,y \ 1) / y) \ 1 = K(x,y \ 1) \ y. x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. (x \ K(x,y)) * T(x,x \ 1) = K(x,y). K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. K(((x \ 1) * y) \ y,z) = T(K(x,z),y). L(T(K(x,y),z),u,w) = K(L(T(x \ 1,z),u,w) \ 1,y). K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). L(T(K(x,y),z),u,w) \ v5 = K(y,L(T(x \ 1,z),u,w) \ 1) * v5. K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. L(T(K(x,y),z),u,w) * v5 = L(T(K(y,x),z),u,w) \ v5. L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. ((1 / x) * (K(y,z) * x)) \ u = L(T(K(z,y),x),x,x \ 1) * u. L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. ((1 / x) * (K(y,z) * x)) * u = ((1 / x) * (K(z,y) * x)) \ u. ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). K((x \ y) \ 1,z) != u | K(y \ x,z) = u. ((x * y) * z) \ ((y * x) * z) = K((((x * y) * z) \ (x * z)) \ 1,x). K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). x * ((y \ z) * T((y \ z) \ (x \ z),u)) != w | (x * T(x \ y,u)) * (y \ z) = w. (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). (x * T(x \ y,y)) * (y \ 1) != z | K(x \ y,y) = z. K(x \ y,y) = K((x * (y \ 1)) \ 1,y). K((x * (y \ 1)) \ 1,y) = K(x \ y,y). (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). K((x * y) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. (1 / x) * K((((x \ 1) \ y) \ 1) \ (x \ 1),z) != u | T(y,z) / ((1 / x) \ y) = u. T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. K(x,y) = L(K(x,y),y \ 1,z). L(K(x,y),y \ 1,z) = K(x,y). K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) != u | K(y,x / (z * (y / ((z \ 1) \ 1)))) = u. K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). K(x,y / (z * (x / (u \ 1)))) != w | K(x,y / (z * (u * x))) = w. K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). K(x,y / L(x,z \ 1,z)) = K(x,x \ y). x != (1 / y) \ L(K(y,z),u,w) | y * L(K(y,z),u,w) = x. x * L(K(x,y),z,u) = (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1). (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u) = T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)). T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). (x * y) * ((y * x) \ 1) = K(y \ (y * x),y). K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). K(x,y) = (x * y) * ((y * x) \ 1). (x * y) * ((y * x) \ 1) = K(x,y). x * y != K(z \ (z * u),w) | x \ K(u,w) = y. (x * y) \ K(x,y) = (y * x) \ 1. x != K((y \ 1) \ 1,z) | K(y,z) = x. K(x,y) = T((x \ 1) \ 1,z) / (T((x \ 1) \ 1,z) * K(y,(x \ 1) \ 1)). T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). x = L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. L(x,K(y,z),T(z,u)) != w | x = w. K(x,y) * (T(x,z) \ u) = (T(x,z) * K(y,x)) \ u. (T(x,y) * K(z,x)) \ u = K(x,z) * (T(x,y) \ u). R(x,y,x) \ z = K(x,x * y) * (T(x,y) \ z). K(x,x * y) * (T(x,y) \ z) = R(x,y,x) \ z. (R(x,y,x) \ z) / (T(x,y) \ z) = K(x,x * y). L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). L(x,K(x,y),z) != u | x = u. x * K(y,x) = (z * K(x,y)) \ (z * x). (x * K(y,z)) \ (x * y) = y * K(z,y). (x * y) / (y * K(z,y)) = x * K(y,z). (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)) = ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y. ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). x / (y * K(z,y)) = (x / y) * K(y,z). (x * K(y,x)) * R(((z * K(x,y)) \ (z * x)) \ x,u,w) = (z * K(x,y)) \ ((z * R(z \ (z * K(x,y)),u,w)) * x). (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). x / ((y * z) / y) = (x / z) * K(z,y). x / (y / z) = (x / (z \ y)) * K(z \ y,z). (x / (y \ z)) * K(y \ z,y) = x / (z / y). x / (y / (y / z)) = (x / z) * K(z,y / z). (x * y) / ((z * y) / z) = x * K(y,z). (x * y) / ((z * y) / z) != u | (x / ((z * y) / z)) * y = u. (x / ((y * z) / y)) * z = x * K(z,y). x * y = (x * ((z * y) / z)) * K(y,z). (x * ((y * z) / y)) * K(z,y) = x * z. (x / (y / (y / z))) * z = x * K(z,z \ y). (x / (y * K(z,y))) * y = x * K(y,z). (x * (y / z)) * K(z \ y,z) = x * (z \ y). x * (y \ z) != u * K(y \ z,y) | x * (z / y) = u. x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. R(K(x,y / (z * y)),R(1 / z,z,y),u) != w | K(x,z \ 1) = w. K(x * (y / (z * y)),z \ 1) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). ((x \ T(x * (y / z),u)) * z) / y != w | K((((x \ 1) * z) / y) \ 1,u) = w. K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). K(((x * y) / z) \ 1,z / y) != u | K(x \ (z / y),(y / z) \ 1) = u. K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). ((x * y) / x) * T(((x * y) / x) \ z,u) != w | (x * (y * T(y \ T(z,x),u))) / x = w. (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). ((x \ y) * x) * K(z,x) = (x \ (y * K(z,x))) * x. (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). x * y != z * (L(z,u,w) \ 1) | (L(z,u,w) \ z) / y = x. (L(x,y,z) \ x) / x = L(x,y,z) \ K(x,L(x,y,z) \ 1). L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. ((x * y) / x) * (x * z) = y * (T(x,y) * z). T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). R(T(x,y),z,x) * T(z,x) = T(x,z) \ ((T(x,y) * z) * T(x,z)). T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). T(T(x,y) * z,T(x,z)) = R(T(x,y),z,x) * T(z,x). R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). T(x \ T(x * y,y),z) / T(y,z) != u | K((y \ (x \ 1)) \ 1,T(y,z)) = u. K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). x != (y * ((z \ 1) \ 1)) / y | (((y * z) / y) \ 1) \ 1 = x. (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). T((x / (y * K(z,y))) * y,(z * y) / z) = ((z * y) / z) \ (x * y). T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). T(K(x,y),z) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = T(K(x,y),z). K(x,y \ 1) != z | z = K(x,1 / y). T(x,K(y,z \ x)) = T(x,K(y,x / z)). T(x,K(y,x / z)) = T(x,K(y,z \ x)). K(x,K(y,z \ x)) = K(x,K(y,x / z)). K(x,K(y,x / z)) = K(x,K(y,z \ x)). (x / y) * K(x,1 / y) = x * ((x / y) / x). (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). T(x,x \ y) != z | T(x,y / x) = z. T(x,(x / y) / x) = T(x,1 / y). K(x,T(y,y \ z)) = T(K(x,y),z). K(x,T(y,z)) = T(K(x,y),z * y). T(K(x,y),z * y) = K(x,T(y,z)). K(x,T(y,z)) = T(K(x,y),y * z). T(K(x,y),y * z) = K(x,T(y,z)). x != K(y,T(z,u)) | T(K(y,z),u * z) = x. T(K(x,y),z * y) = T(K(x,y),y * z). (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). K(x / (y * x),z) != u | K(1 / y,z) = u. R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). K(x,y) != z | K(x,1 / (1 / y)) = z. x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. K(x,1 / (y \ z)) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). L(x,y,z) \ K(x,L(x,y,z) \ 1) != u | (L(x,y,z) \ x) / x = u. (L(x,y,z) \ x) / x = 1 / L(x,y,z). R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). x / L(x,y,z) = L(x,y,z) \ x. (L(x,y,z) \ x) \ x = L(x,y,z). (L(x,y,z) \ x) * L(x,y,z) = x. (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). x * (y \ 1) != ((L(y,z,u) \ 1) * y) * (1 / y) | L(y,z,u) \ y = x. L(x,y,z) \ x = L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1). L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. x * y != K(z,z \ 1) \ ((1 / z) * (L(z,u,w) \ z)) | x \ (L(z,u,w) \ 1) = y. (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. x != L(y,z,u) \ 1 | (y \ L(y,z,u)) \ (y \ 1) = x. (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. (x \ L(x,y,z)) * (L(x,y,z) \ x) = 1. x != K(y,y \ z) * ((y \ z) * u) | (z / y) * u = x. (x / y) * z = ((y \ x) * z) * K(y,T(y \ x,z)). ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. (x * K(y,x)) * K(z,x) = K(z,x) * (x * K(y,x)). K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. K(L(x,y,x),y) = K(x,y). K(L(x,y,x),y) != z | K(T(x,x * y),y) = z. K(T(x,x * y),y) = K(x,y). (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. (x / y) * (y * K(z,y)) = (x * (y * K(z,y))) / y. (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). x != ((y * z) * L(z,u,w)) / (y * L(z,u,w)) | z * K(y * L(z,u,w),z) = x. x * K(y * L(x,z,u),x) = R(x * K(y,x),y,L(x,z,u)). R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). x * K(y * x,x) = R(x * K(y,x),y,x). R(x * K(y,x),y,x) = x * K(y * x,x). ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)) = (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. ((x * y) / R(x,y,x)) * x = (y * x) * K(R(x,y,x),y * x). (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. (x * y) * K(T(y,x),x * y) = ((y * x) / R(y,x,y)) * y. ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). x != (y * z) * K(T(z,y),y * z) | T(z,y * z) * T(y,z) = x. T(x,y * x) * T(y,x) = ((x * y) / R(x,y,x)) * x. ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). (x / R(y,y \ x,y)) * y = T(y,(y \ x) * y) * T(y \ x,y). T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. T(x,y) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). x != T(y,z) * T(y \ z,y) | (y \ z) * T(y,z) = x. (x \ y) * T(x,y) = (y / R(x,x \ y,x)) * x. (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). x * y != (y \ z) * T(y,z) | y \ (z * K(y,z)) = x. x \ (y * K(x,y)) = y / R(x,x \ y,x). x / R(y,y \ x,y) = y \ (x * K(y,x)). x != y \ (z * K(y,z)) | (y * K(z,y)) \ z = x. (x * K(y,x)) \ y = y / R(x,x \ y,x). x / R(y,y \ x,y) = (y * K(x,y)) \ x. x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). x = (x / ((y * z) / y)) * (z * K(y,z)). (x / ((y * z) / y)) * (z * K(y,z)) = x. x != K((y * z) \ 1,y) | K(z \ (y \ 1),y) = x. K(x \ (y \ 1),y) = ((y \ (1 / x)) * y) * x. ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. x / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))). K(x,y \ (x \ 1)) = K(x,z / (x / ((y * z) \ 1))). K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). K(x,y / (x / (z \ 1))) != u | K(x,y / (x * z)) = u. K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). K(x * (y \ 1),y) != z | K(y \ x,y) = z. K(x \ (x * y),x) = K(R(y,x,x \ 1),x). K(R(x,y,y \ 1),y) = K(y \ (y * x),y). K(x,y) = K(R(x,y,y \ 1),y). K(R(x,y,y \ 1),y) = K(x,y). T(x,R(y,x,x \ 1)) \ x = K(y,x). K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) != u | L(x,y,z) = u. L(x,y,z) = 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)). 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). L(x,y,z) \ 1 = (L(x,y,z) \ x) * (x \ 1). (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. (L(1 / x,y,z) \ 1) / x != u | 1 / (x * L(x \ 1,y,z)) = u. 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). x != L(1 / y,z,u) \ (1 / y) | L(y \ 1,z,u) \ (y \ 1) = x. L(x \ 1,y,z) \ (x \ 1) = 1 / (x * L(x \ 1,y,z)). 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). x != L((y \ 1) \ 1,z,u) \ ((y \ 1) \ 1) | L(y,z,u) \ y = x. L(x,y,z) \ x = 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)). 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). T(x,R(y,x,x \ 1)) \ x != z | ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = z. ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = K(y,x). x \ y != K(z,y) | T(y,z) = x. T(x,y) = T(x,R(y,x,x \ 1)). T(x,R(y,x,x \ 1)) = T(x,y). x * y != T(z,u) | x \ T(z,R(u,z,z \ 1)) = y. x \ T(x,R(y,x,x \ 1)) = K(x,y). K(x,R(y,x,x \ 1)) = K(x,y). x \ T(x,R(y,x,x \ 1)) != z | R(y,x,x \ 1) \ ((x * y) * (x \ 1)) = z. R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = K(y,x). T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). T(K(x,y),z) = T(K(y,x),z) \ 1. T(K(x,y),z) \ 1 = T(K(y,x),z). 1 / T(K(x,y),z) = T(K(y,x),z). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(y,z),u) \ 1). R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). K(x,y) * T(K(y,x),z) = K(z,K(x,y)). T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). K(x,y) * T(K(y,x),z) != u | (y * x) \ (x * (y * T(K(y,x),z))) = u. (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). K(x,y) * T(K(z,x),u) != w | T(K(z,x),u) * K(x,y) = w. T(K(x,y),z) * K(y,x) = K(z,K(y,x)). K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. K(K(x,y),z) = K(z,K(y,x)). K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. x * K(K(y,z),x) = T(x,K(z,y)). K(x,K(y,z)) * K(x,K(z,y)) = 1. K(x,K(y,z)) * K(z,y) = T(K(z,y),x). K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. T(x,y) * z != K(y,u) * (x * y) | T(T(y,x),u) = z. T(T(x,K(y,z)),K(z,y)) = x. T(K(x,y) \ z,K(y,x)) = z / K(x,y). T(x,K(y,z)) != K(u,y) | K(u,y) = x. K(x,y) = T(K(x,y),K(z,y)). T(K(x,y),K(z,y)) = K(x,y). T(x,K(y,z)) != K(z,u) | K(z,u) = x. K(x,y) = T(K(x,y),K(x,z)). T(K(x,y),K(x,z)) = K(x,y). K(x,y) * z = T(z,K(y,x)) * K(x,y). T(x,K(y,z)) * K(z,y) = K(z,y) * x. K(x,y) * K(x,z) = K(x,z) * K(x,y). K(x,y) * K(z,y) = K(z,y) * K(x,y). x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). x != K(y,z) * u | T(y,z) * (y \ u) = x. T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). T(T(x,K(y,z)),K(z,y)) != u | u = x. T(K(x,y),z * y) * K(y,x) != u | K(K(x,y),y * z) = u. K(K(x,y),y * z) = K(z * y,K(y,x)). K(K(x,y),z) != u | K(z,K(y,x)) = u. K(x * y,K(x,z)) = K(y * x,K(x,z)). K(x * y,K(y,z)) = K(y * x,K(y,z)). R(x,T(K(y,z),u),T(K(z,y),u)) = (x * T(K(y,z),u)) * T(K(z,y),u). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x) = x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)). x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). x != y * (T((y \ 1) \ 1,z) \ z) | y \ (z * (1 / (1 / y))) = x. x \ (y * (1 / (1 / x))) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). K(x \ 1,x) * K(y,x) != z | (x \ 1) * (x * K(y,x)) = z. (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). x * (y * K(z,y)) != u | x * ((z * y) / z) = u. (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. (1 / (x * K(y,x))) * L(x,z,u) = L(T(x * K(y,x),y),z,u) / (x * K(y,x)). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). x != R(y,z,u) * K(w,R(y,z,u)) | R(y * K(w,y),z,u) = x. R(x * K(y,x),z,x) = ((K(R(x,z,x),y) / R(x,z,x)) * x) \ x. ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). x * y != T(z,u) * a(K(z,u),w,w \ z) | ((K(z,u) * w) * (w \ z)) / y = x. ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). R(x,K(y,z),y) = x. R(x,R(K(y,z),u,w),y) = x. x * (R(K(y,z),u,w) * y) = (x * R(K(y,z),u,w)) * y. (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). T(1 / (1 / x),y) != z | 1 / (K(y,x) / x) = z. 1 / (K(x,y) / y) = K(y,x) / (1 / y). K(x,y) / (1 / x) = 1 / (K(y,x) / x). K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). T(x,T((y \ 1) \ 1,z)) != u | T(x,T(y,z)) = u. T(x,T(y,z)) = T(x,y * K(y,z)). T(x,y * K(y,z)) = T(x,T(y,z)). x * (1 / R(x,y,z)) = R(x,y,z) \ T(x,x \ 1). R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). x \ T(y,y \ 1) != z | (x \ y) * K(y,y \ 1) = z. (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). (R(x,y,z) \ x) / x = 1 / R(x,y,z). (1 / R(x,y,z)) * x = R(x,y,z) \ x. (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. x / R(x,y,z) = R(x,y,z) \ x. (R(x,y,z) \ x) * R(x,y,z) = x. R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). T(x / y,(x / y) \ (1 / (y / x))) = x / y. T(x,y \ (1 / z)) != u | T(x,y \ (z \ 1)) = u. T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). R(T(T(x,y),z * x),z,x) = T(T(x,y),z). (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). 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). x != K(y / z,y) | K(z \ y,y) = x. K((x / y) \ x,x) = (x / (x / y)) \ L(y,y \ x,y). (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). K(x,y) = (y / (y / x)) \ L(x,x \ y,x). (x / (x / y)) \ L(y,y \ x,y) = K(y,x). x * y != K(z \ u,z) * R(T(z,z \ u),w,v5) | x \ (u \ ((R(z,w,v5) * (z \ u)) * z)) = y. x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = T(x,x \ y) \ R(T(x,x \ y),z,u). T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). R(T(x,y),z,u) / R(T(T(x,w),y),z,u) != v5 | K(w,R(T(x,y),z,u)) = v5. K(x \ (y * z),R(T(z,u),w,v5)) = K((y \ x) \ z,R(T(z,u),w,v5)). K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). L(x,y,z) / L(T(x,u),y,z) = K(x * (u / x),L(x,y,z)). K(x * (y / x),L(x,z,u)) = L(x,z,u) / L(T(x,y),z,u). x != L(y,z,u) / L(T(y,w),z,u) | K(w,L(y,z,u)) = x. K(x,L(y,z,u)) = K(y * (x / y),L(y,z,u)). K(x * (y / x),L(x,z,u)) = K(y,L(x,z,u)). T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. K(x \ y,T(y,z)) = K(y / x,T(y,z)). K(x / y,T(x,z)) = K(y \ x,T(x,z)). K(x,T(y,z)) = K((x \ y) \ y,T(y,z)). K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). K(T(x \ y,x),T(y,z)) = K(x \ y,T(y,z)). ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. x * K(T(y,z) \ x,y) = (y \ x) * y. K(x \ y,x) = K(T(x,z) \ y,x). K(T(x,y) \ z,x) = K(x \ z,x). T(x * K(x \ y,x),z) \ y = y / T(x,z). T(x / (x / y),z) \ x = x / T(y,z). T(x / y,z) \ x = x / T(y \ x,z). x / T(y \ x,z) = T(x / y,z) \ x. (T(x / y,z) \ x) \ x = T(y \ x,z). (T(x,y) \ z) \ z = T((x \ z) \ z,y). ((x \ y) \ z) \ z = T(((y / x) \ z) \ z,x). T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. x * (((x \ y) \ z) \ z) = (((y / x) \ z) \ z) * x. (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). ((x \ y) \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). (x \ y) * ((((x \ y) \ y) \ z) \ z) = ((x \ z) \ z) * (x \ y). T(x,x \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). x * (y \ z) != (y \ z) * ((((y \ z) \ z) \ u) \ u) | T(y,((y \ z) \ z) \ u) = x. T(x,((x \ y) \ y) \ z) = T(x,x \ z). T(x,T(x,y) \ z) = T(x,x \ z). T(x,y) = T(x,x \ (T(x,z) * y)). T(x,x \ (T(x,y) * z)) = T(x,z). T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). T(x,K(x,y) * z) = T(x,z). K(x,y) * (z * T(x,z)) = L(x,z,K(x,y)) * (K(x,y) * z). L(x,y,K(x,z)) * (K(x,z) * y) = K(x,z) * (y * T(x,y)). T(x,y * z) = T(x,T(y,x) * z). T(x,T(y,x) * z) = T(x,y * z). T(x,T(x,y) * z) = T(x,x * z). T(x,y) = T(x,K(z,x) * y). T(x,K(y,x) * z) = T(x,z). T(x,T(y,x) \ z) = T(x,y \ z). T(x,(x \ y) \ z) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,(x \ y) \ z). T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). x != T(y,z) | y * K(y,z) = x. x * K(x,y \ z) = T(x,T(y,x) \ z). x * y != T(x,z) | K(x,z) = y. K(x,T(y,x) \ z) = K(x,y \ z). T(x,T(y,x) \ z) != u | T(x,y \ z) = u. K(x,(x \ y) \ z) = K(x,(y / x) \ z). K(x,(y / x) \ z) = K(x,(x \ y) \ z). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),K(x,u) * y). T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). x != T(y,z) * K(u,T(y,z)) | T(y * K(u,y),z) = x. T(x * K(y,x),z) = T(x * K(y,x),K(x,u) * z). T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). T(x * K(y * R(x,z,u),x),y) != w | R(x,y,R(x,z,u)) = w. R(x,K(x,y) * z,R(x,u,w)) = T(x * K((K(x,y) * z) * R(x,u,w),x),z). T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). T(x * K(y,x),z) = T(x * K(y,x),T(z,x)). T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). T(x * K(y,x),T(x * y,x)) != z | L(x,y,x * K(y * x,x)) = z. L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. (x / L(y,x,y)) * y = T(y * x,y) / y. (T(x * y,x) / x) \ (y * x) = L(x,y,x). (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). T(x * T(x \ (x * y),z),x) / x = T((y / L(x,y,x)) * x,z). T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. T(T(x * y,x) / x,z) = T(x * T(y,z),x) / x. T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). T(x,T(x,y) * (1 / z)) != u | T(x,z \ T(x,y)) = u. T(x,y \ T(x,z)) = T(x,x * (1 / y)). T(x,y) = T(x,x * (T(x,z) \ y)). T(x,x * (T(x,y) \ z)) = T(x,z). x != T(y,y * (1 / z)) | T(y,z \ y) = x. T(x,y \ x) = T(x,y \ T(x,z)). T(x,y \ T(x,z)) = T(x,y \ x). T(x,x * y) != z | T(x,y * x) = z. T(x,(T(x,y) \ z) * x) = T(x,z). R(T(x,y * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). T(x,y * T(z,x)) = T(x,y * z). L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). x * L(y,T(z,x) \ x,z) = T(z,x) * ((T(z,x) \ x) * y). T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). L(x,y,K(x,z)) * (K(x,z) * y) = K(x,z) * (x * y). x * (K(y,z) * u) != K(y,z) * (y * u) | y = x. x = L(x,y,K(x,z)). L(x,y,K(x,z)) = x. L(x,K(y,z) * u,K(z,y)) != w | L(w,u,K(y,z)) = x. L(x,y,K(z,x)) = x. R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. L(x,y,K(R(x,z,u),w)) = x. (K(x,y) * z) * x = K(x,y) * (z * x). x \ (K(x,y) * (z * x)) = T(K(x,y) * z,L(x,z,K(x,y))). T(K(x,y) * z,L(x,z,K(x,y))) = x \ (K(x,y) * (z * x)). (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). K(x,y) = L(K(x,y),z,K(x,u)). L(K(x,y),z,K(x,u)) = K(x,y). K(x,y) = L(K(x,y),z,K(y,u)). L(K(x,y),z,K(y,u)) = K(x,y). T(K(x,y) * z,L(x,z,K(x,y))) = x \ (T(x,y) * T(z,x)). x != y \ (T(y,z) * u) | K(y,z) * u = x. K(x,y) * T(z,x) = T(K(x,y) * z,L(x,z,K(x,y))). T(K(x,y) * z,L(x,z,K(x,y))) = K(x,y) * T(z,x). T(K(x,y) * z,x) = K(x,y) * T(z,x). K(x,y) * T(z,x) = T(K(x,y) * z,x). x * T(K(y \ 1,y),z) != u | K(y \ 1,y) * x = u. K(x \ 1,x) * K(y,z) = T(K(y,z) * K(x \ 1,x),y). T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). K(x,y) * z != T(K(x,y) * (u * K(y,x)),w) | T(u,w) * K(y,x) = z. T(x,y) * K(z,y) = T(x * K(z,y),y). K(x,y) * z != T(K(x,y) * u,w) | K(y,x) * T(K(y,x) \ u,w) = z. K(x,y) * T(K(x,y) \ z,y) = T(z,y). K(x,y) * T(K(x,y) \ z,x) = T(z,x). K(x,y) * T(T(z,x),u) = T(K(x,y) * T(z,u),x). K(x,y) * L(T(z,x),u,w) = T(K(x,y) * L(z,u,w),x). (x * (K(y,z) * u)) \ (x * T(K(y,z) * u,y)) = K(L(u,K(y,z),x),y). K(K(x,y) * z,x) = K(L(z,K(x,y),u),x). K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). K(x,y) = K(K(y,z) * x,y). K(K(x,y) * z,x) = K(z,x). K(K(x,y) * z,x) != u | K(L(z,K(x,y),w),x) = u. K(L(x,K(y,z),u),y) = K(x,y). K(x,y) = K(K(y,z) \ x,y). K(K(x,y) \ z,x) = K(z,x). K(T(x,y) * z,x) = K(x * z,x). K(x,y) = K(K(z,y) * x,y). K(K(x,y) * z,y) = K(z,y). K(x * y,z) = K(x * (K(u,z) * y),z). K(x * (K(y,z) * u),z) = K(x * u,z). K(R(K(x,y),z,u) * w,x) = K(w,x). R(K(x,y),z,x) = K(x,y). L(x \ 1,x,K(x,y) * z) = (K(x,y) * (z * x)) \ (K(x,y) * z). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). x != K(K(y,z) \ u,y) | K(u,y) = x. K(x \ y,z) = K((x * K(z,u)) \ y,z). K((x * K(y,z)) \ u,y) = K(x \ u,y). T(x,y) * K(y,z) = T(x * K(y,z),y). x * T(x \ ((y \ 1) \ x),z) != u | K(y,z) * ((y \ 1) \ x) = u. K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). x * y != K(z,u) * T(K(z,u) \ w,z) | x \ T(w,z) = y. x \ T(x * y,z) = (x \ K(z,u)) * T((x \ K(z,u)) \ y,z). (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). K(x,y) * T(z,y) = T(K(x,y) * z,y). R(K(x,y),z,R(x,u,w)) = K(x,y). (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. K(x,R(y,z,R(x,u,w))) = K(x,y). K(R(x,y,R(x,z,u)),w) = K(x,w). K(R(x,y,x),z) = K(x,z). K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). (K(x,y) / R(x,z,R(x,u,w))) \ 1 = R(x,z,R(x,u,w)) * K(y,R(x,z,R(x,u,w))). R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. L(x,y,z) != L(L(u,y,z),w,v5) | L(u,w,v5) = x. L(x,y,K(z,L(x,u,w))) = x. K(x,y) = L(K(x,y),z,K(u,x)). L(K(x,y),z,K(u,x)) = K(x,y). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). K(x,R(y,z,x)) = K(x,y). K(T(x,y),z) = K(T(x,x * y),z). K(T(x,x * y),z) = K(T(x,y),z). K(T(x,x \ y),z) = K(T(x,y),z). K((x \ y) \ T(y,x),z) = K(x,z). R(x,y,x) * K(x,z) = T(R(x,y,x),z). x * K(R(x,y,x),z) = T(x,z). 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). x * K(x,y) = T(x,R(y,z,x)). T(x,R(y,z,x)) = x * K(x,y). K(x,K(y,R(z,u,x))) = K(x,K(y,z)). (K(R(x,y,z),u) * (w * x)) / (w * x) = R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))). R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). K(x \ T(y,z),z) = K(x \ y,z). K(x * T(y,z),z) = K(x * y,z). T(x,L(y,z,u)) / y = K(x,L(y,z,u)) * (x / y). K(x,L(y,z,u)) * (x / y) = T(x,L(y,z,u)) / y. L(x,x \ y,x) != z | T(y / (y / x),y) = z. T(x / (x / K(y,z)),x) = K(y,z). L(K(x,y),z * y,u) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,K(x,u))) = K(x,y). T(K(x,y),z) = L(T(K(x,y),z),u,K(x,w)). L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). T(K(x,y) * z,K(x,y)) = z * K(x,y). K(x,y) \ z = z / T(K(x,y),z). x / T(K(y,z),x) = K(y,z) \ x. (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). K(x,L(y,z,K(u,x))) = K(x,y). L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. K(L(x,y,K(z,u)),u) = K(x,u). (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). x * y != z * K(R(z,u,z),w) | x \ T(z,w) = y. R(x,y,x) \ T(x,z) = R((z * x) / z,y,x) \ x. R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). K(x,y) = K(x,R(y,z,y)). K(x,R(y,z,y)) = K(x,y). K(x,R(y,z,y)) != u | K(x,y) = u. K(x,T(y,z)) = K(x,T(y,y * z)). K(x,T(y,y * z)) = K(x,T(y,z)). K(x,T(y,y \ z)) = K(x,T(y,z)). R(x,y,x) * K(z,x) = R(x * K(z,x),y,x). T(x,y) = T(x,R(y,z,x)). T(x,R(y,z,x)) = T(x,y). T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). (K(x,y) / y) \ 1 = T(y,L(x,z,K(u,y))). T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). K(T(x,y * x),z) = K(T(x,y),z). K((x \ y) \ y,z) = K(T(x,y),z). K(x,y) = K(T(z / (z / x),z),y). K(T(x / (x / y),x),z) = K(y,z). K(x \ (y \ (z * y)),y) = K(x \ z,y). K(x \ (y \ z),y) = K(x \ (z / y),y). K(x \ (y / z),z) = K(x \ (z \ y),z). K(x * (1 / ((y * z) \ y)),z) = K((1 / ((y * z) \ y)) * x,z). K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). K(x * K(y \ z,u),z) = K(x * K(z / y,u),z). K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). (K(x,y) \ z) \ z = T(K(x,y),z). (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. K(x,T(y,z \ y)) = K(x,T(y,z \ 1)). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). K(x,T(((y \ 1) * z) \ z,z)) = K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))). K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). K(x,T(y,z * y)) = K(x,T(y,z)). K(x,T(y,y \ z)) != u | T(K(x,y),z) = u. T(K(x,y),z) = K(x,T(y,z)). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x,y \ z) = K(x,T(z / y,z)). K(x,T(y / z,y)) = K(x,z \ y). x != K(y,T(z,z \ u)) | T(K(y,z),u) = x. T(K(x,y),z) = T(K(x,y),y \ z). T(K(x,y),y \ z) = T(K(x,y),z). x != K(y * z,T(y,z)) | K(y * z,y) = x. K(x * y,x) = T(K(x * y,x),y). T(K(x * y,x),y) = K(x * y,x). T(K(x,y),z) != u | K(z,K(y,x)) * K(x,y) = u. K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). T(K(x,y),z) != u | K((x \ z) \ z,y) = u. K((x \ y) \ y,z) = K(x,T(z,y)). T(K(x,R(y,z,u)),w) != v5 | R(T(K(x,y),w),y * z,u) = v5. R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). T(K(x,y),K(x,z)) != u | K(x,y) = u. K(x,y) = K(x,T(y,K(x,z))). K(x,T(y,K(x,z))) = K(x,y). T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). T(K(x / y,z),x) != u | K(y \ x,z) = u. K(x \ y,z) = K(y / x,T(z,y)). K(x / y,T(z,x)) = K(y \ x,z). T(K(x,y \ 1),z) != u | K(x,T(y,z) \ 1) = u. K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). T(K(x,y),T(x,z)) != u | K(x,y) = u. K(x,y) = K(x,T(y,T(x,z))). K(x,T(y,T(x,z))) = K(x,y). T(K(x,y),R(x,z,u)) != w | K(x,y) = w. K(x,y) = K(x,T(y,R(x,z,u))). K(x,T(y,R(x,z,u))) = K(x,y). T(K(x,y),K(z,x)) != u | K(x,y) = u. K(x,y) = K(x,T(y,K(z,x))). K(x,T(y,K(z,x))) = K(x,y). T(K(x,y),x \ 1) != z | K(x,y) = z. K(x,y) = K(x,T(y,x \ 1)). K(x,T(y,x \ 1)) = K(x,y). T(K(x,T(y,z)),u) = K(x,T(T(y,u),z)). x * K(y,T(z,x)) = K(y,z) * x. L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). x * T(K(x,y),z) = T(x,T(y,z)). T(L(K(x,y),z,u),w) = K(x,T(L(y,z / y,u),w)). K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). K(x,y) * K(z,T(u,x)) = T(K(x,y) * K(z,u),x). x / K(y,T(z,x)) = K(y,z) \ x. T(K(x,K(y,z)),u) = K(x,K(y,T(z,u))). K(x,T(x,y) \ z) = K(x,z / T(x,y)). K(x,y / T(x,z)) = K(x,T(x,z) \ y). T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). x * K(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = x * K(x,y). T(x,T(y,z)) * K(y,x) = T(x * K(y,x),T(y,z)). K(x \ y,T(z,y \ x)) = K(x \ y,z). K(x,R(x,y,z) \ u) = K(x,u / R(x,y,z)). K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). T(x,R(y,z,u)) * K(y,x) = T(x * K(y,x),R(y,z,u)). K((x \ y) \ y,z) != u | T(K(x,z),y) = u. T(K(x,y),z) = K(T(x,z),y). K(((x \ y) * (y \ z)) \ z,u) = K(T(R(x,x \ y,y \ z),z),u). K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). L(K(T(x,y),z),y,u) = K((u * (x \ y)) \ (u * y),z). K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). T(K(x,y),z) != u | K(x,T(y,z)) = u. K(x,T(y,z)) = K(T(x,z),y). K(T(x,y),z) = K(x,T(z,y)). T(K(x,y / z),y) != u | K(x,z \ y) = u. K(x,y \ z) = K(T(x,z),z / y). K(T(x,y),y / z) = K(x,z \ y). T(K(x,y),K(y,z)) != u | K(x,y) = u. K(x,y) = K(T(x,K(y,z)),y). K(T(x,K(y,z)),y) = K(x,y). T(K(x,y),y \ 1) != z | K(x,y) = z. K(x,y) = K(T(x,y \ 1),y). K(T(x,y \ 1),y) = K(x,y). x * K(T(y,x),z) = K(y,z) * x. K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). T(x,K(y,z)) != u | T(u,K(z,y)) = x. T(x * K(y,z),K(z,y)) = K(y,z) * x. T(x * K(y,z),u) = T(T(K(y,z) * x,u),K(y,z)). T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). T(x,K(y,z)) = (K(z,y) * x) * K(y,z). (K(x,y) * z) * K(y,x) = T(z,K(y,x)). T(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = T(x,y). T(x,T(y,T(x,z))) != u | T(x,y) = u. T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. K(L(x,y,z),u) = K(L(x,y,z),T(u,x)). K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). T(K(x,y),z) != u | K(T(x,z),y) = u. K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). K(x,y) = K(T(x,R(y,z,u)),y). K(T(x,R(y,z,u)),y) = K(x,y). L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. K(x,y \ 1) = K(T(x,L(y,z,u)),y \ 1). K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). x * K(x \ y,z) = K(y / x,z) * x. K(x / y,z) * y = y * K(y \ x,z). L(x,y / z,K(z \ y,u)) != w | w = x. K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). R(K(x \ y,z),y,u) = K((y * u) / (x * u),T(z,y)). K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). K(x,T(y,z)) \ 1 = K(y,T(x,z)). x != K(y * z,T(z,y)) | K(y * z,z) = x. K(x * y,y) = K(T(x * y,x),y). K(T(x * y,x),y) = K(x * y,y). K(T(T(x,y),z),u) != w | T(T(x * K(u,x),y),z) \ T(T(x,y),z) = w. T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). K(T(x,y * z),u / (x * (y * z))) != w | K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = w. K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). K(T(x,x * y),z) != u | K(T(x,y),z) = u. K(T(x,y),z) = K(x,T(z,x * y)). K(x,T(y,x * z)) = K(T(x,z),y). K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). K(x \ y,z) = K(y / x,T(z,x)). K(x / y,T(z,y)) = K(y \ x,z). K(x,y) = K(x,T(y,T(T(x,z),u))). K(x,T(y,T(T(x,z),u))) = K(x,y). K(x,y) = K(x,T(y,R(T(x,z),u,w))). K(x,T(y,R(T(x,z),u,w))) = K(x,y). K(x \ 1,y) = K(x \ 1,T(y,K(x,z))). K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). K(x \ T(y * x,z),u) = K(x \ T(x * y,z),T(u,x)). K(x \ T(x * y,z),T(u,x)) = K(x \ T(y * x,z),u). K(x,T(y,z)) \ u = K(y,T(x,z)) * u. K(x,T(y,z)) * T(x,z) = T(T(x,z),y). 1 / (x \ K(y,T(x,z))) = T(x,T(y,z)). K(x,y) = K(x,T(y,K(z,z \ x))). K(x,T(y,K(z,z \ x))) = K(x,y). R(x,y,K(T(y,z),u)) = x. K(x,T(y,z)) * T(x,z) = T(T(x,y),z). K(T(x,y),z) = K(x,T(z,K(x,u) * y)). K(x,T(y,K(x,z) * u)) = K(T(x,u),y). K((x \ y) / y,z) != u | K(x \ 1,z) = u. K(x \ 1,T(y,z)) = K(z \ (x \ z),y). K(x \ (y \ x),z) = K(y \ 1,T(z,x)). K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). K(x \ y,z) * (y / x) = T(y / x,T(z,x)). x != K(T(y,z),u) | K(y,T(u,z)) = x. K(x,T(y,z)) = K(x,T(y,x * z)). K(x,T(y,x * z)) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,x \ z)). K(x,T(y,x \ z)) = K(x,T(y,z)). K(x,(x * y) \ z) = K(x,T(z / (x * y),y)). K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). T(x / (x / y),T(z,y)) = T(x / (x / y),z). T(x,y) * T(y,T(x,z)) = x * T(y * K(x,y),T(x,z)). x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). x != K(y,z) * u | K(z,y) \ u = x. K(x,y) \ z = z * K(y,T(x,z)). x * K(y,T(z,x)) = K(z,y) \ x. x != K(y,z) * u | T(z,y) \ (z * u) = x. T(x,y) \ (x * z) = z * K(y,T(x,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. x \ (y * K(z,T(x,y))) = T(x,z) \ y. x * y != K(z,(u / x) \ 1) * x | K(z,(x \ u) \ 1) = y. K(x,(y \ z) \ 1) = K(x,T((z / y) \ 1,y)). K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). K(x,y) * (z * K(y,T(x,z))) = z. x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. K(x,y) * z != z * u | K(x,T(y,z)) = u. x * K(y,x \ z) = K(y,z / x) * x. K(x,y / z) * z = z * K(x,z \ y). T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). x * K(y * x,y) = K(y * x,y) * x. K(x * y,x) * y = y * K(x * y,x). K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. x * L(y,z,u) != L(y,z,u) * K(y,w) | K(y,w) = x. K(x,L(x,y,z) \ u) = K(x,u / L(x,y,z)). K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). K(x,(y / z) \ 1) * y = y * K(x,y \ z). K(x,y \ 1) * z = z * K(x,z \ (y \ z)). x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. x * y != K(z,u) * x | K(z,T(u,x)) = y. K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). K(x,T(y,z)) = K(x,T(y,K(x,u) * z)). K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). K(x,T(y,z)) = K(x,T(y,T(z,x))). K(x,T(y,T(z,x))) = K(x,T(y,z)). K(x,T(y,z * u)) = K(x,T(y,z * (K(w,x) * u))). K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). K(x,T(y,z / x)) = K(x,T(y,x \ z)). K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). K(x,T(y,z)) = K(x,T(y,(x \ z) * x)). K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). x != K(y,T(z,y \ u)) | K(y,T(z,u)) = x. K(x,T(y,z)) = K(x,T(y,z / x)). K(x,T(y,z / x)) = K(x,T(y,z)). K(x \ y,T(z,x * K(y,x))) = K(x \ y,T(z,(x \ y) \ T(y,x))). K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). K(x,T(y,z)) = K(x,T(y,z * x)). K(x,T(y,z * x)) = K(x,T(y,z)). K(a(x,y,z),T(u,x * (y * z))) = K(a(x,y,z),T(u,(x * y) * z)). K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). K(x,T(y,z)) = K(x,T(y,z * K(x,u))). K(x,T(y,z * K(x,u))) = K(x,T(y,z)). (x \ y) * K(z,T(x,y)) = T(x,z) \ 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(x,T(y,z)) = K(R(x,z,R(x,u,w)),T(y,z * R(x,u,w))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). K(R(x,y,R(x,z,u)),w) != v5 | K(x,w) = v5. 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 \ 1,z)) != u | K(x,(y * z) \ z) = u. K(x,(y * z) \ z) = K(x,z \ (y \ z)). K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ y)). K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). K(x,(y \ z) \ z) != u | (T(y,y \ z) * x) \ (x * ((y \ z) \ z)) = u. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). K(x,T(y,K(x,z) * u)) != w | K(x,T(y,u)) = w. K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. K(x * y,K(x,z)) = K(y,K(x,z)). K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). K(x,T(y,(x * z) * u)) = K(x,T(y,(z * x) * u)). K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). x != (K(y,z) / z) \ 1 | T(z,y) = x. T(x,y) = T(x,L(y,z,K(u,x))). T(x,L(y,z,K(u,x))) = T(x,y). T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). T(K(x,y) * z,R(K(u,x),w,v5)) = (R(K(u,x),w,v5) \ 1) * (K(x,y) * (z * R(K(u,x),w,v5))). (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). T(L(T(x,K(y,z)),K(y,z),K(z,u)),K(z,u)) = R(T(x,K(z,u) * K(y,z)),K(z,u),K(y,z)). 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,y) = K(x * T(y,z),y). K(x * T(y,z),y) = K(x * y,y). K(x,y) = K(x * K(y,z),y). K(x * K(y,z),y) = K(x,y). K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). L(x,y,z) / L(x * K(u * w,x),y,z) = K(L(x,y,z),u * (K(x,v5) * w)). K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). K(x,y) = K(x * K(z,y),y). K(x * K(y,z),z) = K(x,z). R(x,y,z) \ R(x * K(u * w,x),y,z) = K(u * (K(x,v5) * w),R(x,y,z)). K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). x != L(y,z,u) / L(y * K(w,y),z,u) | K(L(y,z,u),w) = x. K(L(x,y,z),u * w) = K(L(x,y,z),u * (K(x,v5) * w)). K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). K(L(x,y,z),u) = K(L(x,y,z),K(w,x) * u). K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). x != K(y,z) | 1 / K(z,y) = x. 1 / K(x,y) = K(y * K(z,x),x). K(x * K(y,z),z) = 1 / K(z,x). K(x / (y / z),z) = K(x / (z \ y),z). K(x * K(y,T(z,u)),z) = K(x,z). 1 / x != K(y,z) | K(z,y) = x. K(x,y * K(z,x)) = K(x,y). K(x * K(y,z),z) != u | K(x,z) = u. K(x \ T(y,z),z) != u | K(x \ y,z) = u. K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. K(x,y) = K(x,y / K(z,x)). K(x,y / K(z,x)) = K(x,y). R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,K(y,x) * z) = K(x,z). K(x,y * K(z,x)) != u | K(x,y) = u. K(x,y * x) != z | K(x,x * y) = z. K(x,y \ T(z,x)) != u | K(x,y \ z) = u. x != R(y,z,u) \ R(y * K(w,y),z,u) | K(w,R(y,z,u)) = x. K(x * y,R(z,u,w)) = K(x * (K(z,v5) * y),R(z,u,w)). K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). K(x,R(y,z,u)) = K(K(w,y) * x,R(y,z,u)). K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). K(x,R(y,z,u)) = K(K(y,w) * x,R(y,z,u)). K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). K(x,y) * T(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ x)). K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)) = K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). (x * y) * T(K(y,z),x) = K(y,z) * (x * y). T(K(x,y),z * x) = T(K(x,y),z). x != T(K(y,z),T(z,u)) | K(y,z) = x. K(x,y) = T(K(x,y),T(y,z) * x). T(K(x,y),T(y,z) * x) = K(x,y). ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). K(x \ 1,y) = K(x \ 1,T(y,L(x,z,u))). K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). K(R(1 / x,x,y) / z,x \ 1) != u | K(y / (z * (x * y)),x \ 1) = u. K(x / (y * (z * x)),z \ 1) = K(y \ R(1 / z,z,x),z \ 1). K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x \ R(1 / y,z,u),w) != v5 | K(x \ R(y \ 1,z,u),w) = v5. K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x \ (y / (z * y)),z \ 1) = K(y / (x * (z * y)),z \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). K(x \ (y / ((z \ 1) * y)),z) = K(y / (x * ((z \ 1) * y)),(z \ 1) \ 1). K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ (x / ((z \ 1) * x)),z). R(x,(y * z) / y,K(z,u)) = x. (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). x != ((y * z) / y) * K(z,u) | K(y,z) * T(z,u) = x. K(x,y) * T(y,z) = (u / ((x * y) / x)) \ (u * K(y,z)). (x / ((y * z) / y)) \ (x * K(z,u)) = K(y,z) * T(z,u). K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. K(x,y) * T(x,T(z,y)) = T(T(x,y),z). K(x,y \ z) * T(x,z) = T(T(x,z),z / y). K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). T((x \ 1) * y,K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). K(x * K(y,z \ u),u / z) = K(x,u / z). K(x,R(T(x,y),z,u) \ w) = K(x,w / R(T(x,y),z,u)). K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). K(x,y) * x = T(x,T(y,T(T(x,z),u))). T(x,T(y,T(T(x,z),u))) = K(x,y) * x. x != K(y,z) * y | T(y,z) = x. T(x,y) = T(x,T(y,T(T(x,z),u))). T(x,T(y,T(T(x,z),u))) = T(x,y). T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). (K(x,y) * z) \ z = T(K(y,x),z). x != T(K(y,z),u) | K(y,T(z,u)) = x. K(x,T(y,z)) = (K(y,x) * z) \ z. (K(x,y) * z) \ z = K(y,T(x,z)). (K(x,y) * z) * T(K(y,x),z) = z. x * ((K(y,z) * x) \ x) = K(z,y) * x. (K(x,y) * K(y,z)) * K(y,x) = K(y,z). (K(x,y) * z) * K(y,T(x,z)) = z. (K(x,y) * z) * K(T(y,z),x) = z. K(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. K(x \ K(y,z),y) = K(x \ 1,y). K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). L(x * K(y \ 1,x),z,u) \ L(x,z,u) = K(L(x,z,u),y \ L(K(x,w),v5,v6)). K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). x != L(y * K(z,y),u,w) \ L(y,u,w) | K(L(y,u,w),z) = x. K(L(x,y,z),u \ 1) = K(L(x,y,z),u \ L(K(x,w),v5,v6)). K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). K(x,y) = K(x,K(x,z) * y). K(x,K(x,y) * z) = K(x,z). K(x * T(y,z \ u),u / z) = K(x * y,u / z). K(x * ((y \ z) \ 1),y / z) = K(((y \ z) \ 1) * x,y / z). K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). K(T(x,T(y,z)) * u,y) = K(x * u,y). T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). T(x * K(y,x),T(z,T(x,u))) != w | T(x * K(y,x),z) = w. T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). R(x,y,R(x,z,u)) = R(x,T(y,T(x,w)),R(x,z,u)). R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). 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,y / L(K(z,x),u,w)) = K(x,y). K(x,y * z) = K(x,y * (z * K(u,x))). K(x,y * (z * K(u,x))) = K(x,y * z). K(x / y,z * (y * (x / y))) = K(x / y,z * x). K(x,y * x) = K(x,y * T(x,z)). K(x,y * T(x,z)) = K(x,y * x). K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). K(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = K(x,y). K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). K(x,y * z) = K(x,y * (K(x,u) * z)). K(x,y * (K(x,z) * u)) = K(x,y * u). x != K(y,z) | y \ T(y,z) = x. x \ T(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = x \ T(x,y). K(x,y) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). T(x,y * K(x,z)) = T(x,y). K(x,y * K(x,z)) != u | K(x,y) = u. (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). T(x,y * L(K(x,z),u,w)) = T(x,y). T(x,y * T(x,z)) = T(x,y * x). 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)) = K(x,y * (z * (K(x,w) * u))). K(x,y * (z * (K(x,u) * w))) = K(x,y * (z * w)). K(x,y * z) = K(x,y * (z * K(x,u))). K(x,y * (z * K(x,u))) = K(x,y * z). K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). T(x,x * y) = T(x,y * T(x,z)). T(x,y * T(x,z)) = T(x,x * y). T(x * T(y,z),u * T(y,x * y)) = T(x * T(y,z),u * y). K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). R(T(x,x * y),y,T(x,z)) = T(x,y). R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). (x \ y) \ y = R(T(x,y),x \ y,T(x,z)). R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. x != K(y * z,z) | K(z * y,z) = x. K(x * y,x) = K(y * T(x,z),x). K(x * T(y,z),y) = K(y * x,y). T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). x != K(y,z) * K(z * y,y) | y \ R(y,z,y) = x. x \ R(x,y,x) = x \ R(x,y * K(x,z),x). x \ R(x,y * K(x,z),x) = x \ R(x,y,x). T(T(x * K(y * T(x,z),x),u),y) != w | R(T(x,u),y,T(x,z)) = w. R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). x * R(T(y,z),x,y) = T(T(y,z) * x,T(y,z)). T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). R(x,y,T(x * K(z,x),u)) = R(T(x * K(z,x),z),y,x * K(z,x)). R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). K(x,R(T(y,z),u,y)) = K(x,T(y,z)). K(x,T(R(y,z,y),u)) = K(x,T(y,u)). K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). R(x,y,x * K(z,x)) = R(x,y,T(x * K(z,x),u)). R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). R(x,y,x) = R(x,y,x * K(z,x)). R(x,y,x * K(z,x)) = R(x,y,x). R(x \ y,z,y / x) = R(x \ y,z,x \ y). T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). x != T(y,z) * R(T(T(z,y),u),w,v5) | R(T(z,u),w,v5) * T(y,z) = x. R(T(x,y),z,x) * T(z,x) = T(T(T(x,z),y) * T(z,x),T(T(x,z),y)). T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). K(x * L(K(y,z),u,w),y) = K(x,y). K(x * (y * K(z,u)),z) = K(x * y,z). K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). x != K(y * (1 / z),u) | K(y * (z \ 1),u) = x. K(x * (((y * z) \ y) \ 1),z) = K((((y * z) \ y) \ 1) * x,z). K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). K(L(x,y,K(z,u)),u) != w | K(x,u) = w. K(x \ y,z) = K(x \ (K(u,z) * y),z). K(x \ (K(y,z) * u),z) = K(x \ u,z). K(x \ y,z) = K(x \ (K(z,u) * y),z). K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ (y * z),z) = K(x \ (z * y),z). K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). K(x \ ((y \ z) * y),y) = K(x \ z,y). K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). K(x \ (y \ z),z / y) = K(z / (x * y),z / y). K(x / (y * z),x / z) = K(y \ (z \ x),x / z). R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)). K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). 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)). K(x \ (y / (z * y)),z \ 1) != u | K(y / (x * (z * y)),z \ 1) = u. K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). K((x \ 1) \ (y / (z * y)),z \ 1) != u | K(x * (y / (z * y)),z \ 1) = u. K(x * (y / (z * y)),z \ 1) = K((x \ 1) \ ((z * y) \ y),z \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). x != K(y * (z / (u * z)),u \ 1) | K(y * ((u * z) \ z),u \ 1) = x. K(x * ((y * z) \ z),y \ 1) = K((x \ 1) \ ((y * z) \ z),y \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(a(x,y,T(z,y)),y) = K((x * (z * y)) \ ((x * y) * z),y). K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). K(x * y,K(x,z)) != u | K(y * x,K(x,z)) = u. K(x * y,K(y,z)) = K(x,K(y,z)). K(x,K(y,z)) = K(y \ x,K(y,z)). K(x \ y,K(x,z)) = K(y,K(x,z)). (1 / x) * K(x \ 1,y) = T(1 / x,T(y,K(x,z))). T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). x != (1 / y) * K(y \ 1,z) | T(1 / y,z) = x. T(1 / x,y) = T(1 / x,T(y,K(x,z))). T(1 / x,T(y,K(x,z))) = T(1 / x,y). L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). K(T(1 / x,y * K(x,z)) \ 1,u) = L(T(K(x,u),y),T(y,K(x,z)),K(x,z)). L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). T(K(x,y),z * K(x,u)) = L(T(K(x,y),z),T(z,K(x,u)),K(x,u)). L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). T(T(x / (x / y),z),u) = T(T(x / (x / y),u),T(z,y)). T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). T(T(x / (x / y),z),x) != u | L(T(y,z),y \ x,y) = u. L(T(x,y),x \ T(z,x),x) = T(T(T(z,x) / (T(z,x) / x),z),y). T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). T(L(x,x \ y,x),z) = L(T(x,z),x \ T(y,x),x). L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ z,x) = L(T(x,y),x \ T(z,x),x). L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). R(L(T(x,y),x \ z,x),u,w) = L(R(T(x,y),u,w),x \ T(z,x),x). L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). x != R(L(y,z,u),w,v5) | L(R(y,w,v5),z,u) = x. L(R(T(x,y),z,u),x \ w,x) = L(R(T(x,y),z,u),x \ T(w,x),x). L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). K(x,y / L(x,z \ 1,z)) != u | K(x,x \ y) = u. K(x,x \ y) = K(x,L(x,z \ 1,z) \ y). K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). K((x \ 1) \ y,(x * y) \ z) = K((x \ 1) \ y,((x \ 1) \ y) \ z). K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). R(K(x,T(y,z)),u,w) = K(x,R(T(y,z),y \ u,w)). K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). K(x,R(y,K(z,y) * u,w)) = K(x,R(T(y * K(z,y),z),u,w)). K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). K(x,R(y,z,u)) = K(x,R(y,K(w,y) * z,u)). K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). K(x,R(y,z,u)) = K(x,R(y,K(y,w) * z,u)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). K(x,T(y,z)) = K(x,R(T(y,z),y \ 1,u)). K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). K(x,R(y,(y * K(z,y)) \ u,w)) = R(K(x,T(y * K(z,y),z)),u,w). R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,(y * K(z,y)) \ u,w)). R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,K(y,z) * (y \ u),w)). x != K(y,R(z,K(z,u) * (z \ w),v5)) | R(K(y,z),K(z,u) * w,v5) = x. R(K(x,y),K(y,z) * u,w) = R(K(x,T(y * K(z,y),z)),u,w). R(K(x,T(y * K(z,y),z)),u,w) = R(K(x,y),K(y,z) * u,w). R(K(x,y),z,u) = R(K(x,y),K(y,w) * z,u). R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). R(K(x,y \ z),(y \ z) * y,u) = R(K(x,y \ z),z,u). K(x,R(y \ z,y,u)) = R(K(x,y \ z),z,u). R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). x != K(y,T(z,u)) | T(K(y,z),u) = x. T(K(x,y),z) = K(x,R(T(y,z),y \ 1,u)). K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). K(T(x,y),z) != u | K(x,T(z,y)) = u. K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). K(x * y,K(y,z)) = K(z,K(y,x)). K(x * y,K(y,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z)) = K(z,K(y,x)). x != K(y,K(z,u)) | K(K(u,z),y) = x. K(K(x,y),z) = K(x,K(y,z)). x != K(y * z,K(z,u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(x,K(y,z * y)). K(x,K(y,z * y)) = K(x,K(y,z)). (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). x * K(y,K(z,x)) = T(x,K(z,y)). K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. K(x,K(y,z)) * K(z,K(x,y)) = 1. K(x,K(y,z)) * K(x,y) = T(K(x,y),z). x != K(R(y \ 1,z,u) \ 1,w) | R(K(y,w),z,u) = x. R(K(x,K(y,z)),u,w) = K(K(R(x \ 1,u,w) \ 1,y),z). K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). K(x,y) * K(x,K(y,z)) = T(K(x,y),z). T(x,K(y,z)) * K(y,K(z,x)) = x. K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). K(K(a(x,y,T(z,y)),y),u) = K((x * (z * y)) \ ((x * y) * z),K(y,u)). K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). K(x,T(y,z)) = K(x,y) * K(x,K(y,z)). K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(x,y) * K(x,K(y,z)) = T(K(x,y),T(z,T(y,u))). T(K(x,y),T(z,T(y,u))) = K(x,y) * K(x,K(y,z)). K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. T(K(x,y),T(z,u)) = T(K(x,y),T(z,x \ u)). T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x * u)). T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). x != K(y,z) * K(y,K(z,u)) | T(K(y,z),u) = x. T(K(x,y),z) = T(K(x,y),T(z,T(y,u))). T(K(x,y),T(z,T(y,u))) = T(K(x,y),z). T(K(x,y),T(z,y)) = T(K(x,y),z). T(K(x,y),y \ z) = T(K(x,y),z / y). T(K(x,y),z / y) = T(K(x,y),y \ z). K(x,K(y,z)) = K(x,K(y,y \ z)). K(x,K(y,y \ z)) = K(x,K(y,z)). K(x,K(y,z \ y)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). K(x,K(y,x \ 1)) != z | 1 = z. 1 = K(x,K(y,x \ y)). K(x,K(y,x \ y)) = 1. x * K(x,K(y,z)) = T(x,K(y,y \ z)). T(x,K(y,y \ z)) = x * K(x,K(y,z)). K(x,K(y \ z,y)) = K(x,K(z / y,z)). K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). T(x,K(y,z)) = T(x,K(y,y \ z)). T(x,K(y,y \ z)) = T(x,K(y,z)). T(x / y,K(z,y \ x)) != u | x / y = u. x / y = T(x / y,K(y,x)). T(x / y,K(y,x)) = x / y. T(x,K(y,z)) = T(x,K(y,y * z)). T(x,K(y,y * z)) = T(x,K(y,z)). T(x,K(y,z / y)) = T(x,K(y,z)). x != T(K(y,z),K(u,y)) | K(y,z) = x. K(x,y) = T(K(x,y),K(z,z * x)). T(K(x,y),K(z,z * x)) = K(x,y). K(x * y,z) = T(K(x * y,z),K(x,y)). T(K(x * y,z),K(x,y)) = K(x * y,z). T(K(x,x * y),K(y,z)) = K(x,x * y). T(K(x,y * x),K(y,z)) = K(x,x * y). T(x,K(y,x \ y)) = x. L(x,y,z) \ L(x,y,z) = K(L(x,y,z),K(u,x \ u)). K(L(x,y,z),K(u,x \ u)) = L(x,y,z) \ L(x,y,z). x != y \ y | 1 = x. 1 = K(L(x,y,z),K(u,x \ u)). K(L(x,y,z),K(u,x \ u)) = 1. K(L(K(x,y),z,u),w) = L(K(x,K(y,w)),z,u). L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). K(R(K(x,y),z,u),w) = R(K(x,K(y,w)),z,u). R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). K(x,K(y,z)) * K(x,y) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). x != K(y,K(z,u)) * K(y,z) | T(K(y,z),u) = x. T(K(x,y),z) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). K(x,K(y,z)) = K(y,K(x,z)). K(K(x,y),z) = K(y,K(z,x)). x != K(y,K(z,u)) | K(y,K(z,z * u)) = x. K(x,K(y,y * z)) = K(y,K(x,z)). x != K(y,K(z,u)) | K(K(y,z),u) = x. K(K(x,y),z) = K(y,K(x,z)). x != K(y,K(z,u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) = K(z,K(x,y)). x != K(L(y,z,u),K(w,y \ w)) | 1 = x. 1 = K(x,K(L(y,z,u),y \ x)). K(x,K(L(y,z,u),y \ x)) = 1. x != K(y * z,K(y,u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(y,K(y * x,z)). K(x,K(x * y,z)) = K(y,K(x,z)). x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. x * K(y,K(x,z)) = T(x,K(y,z)). K(x,K(y,z)) * y = T(y,K(x,z)). (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). K(x,K(y,z * y)) = K(y,K(x,y * z)). K(x,K(y,z)) = K(y,K(x,L(z,u,K(y,w)))). K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). K(x,y) * K(y,K(x,z)) = T(K(x,y),z). K(x,K(y,z)) * K(y,x) = T(K(y,x),z). x * K(y,K(x,x * z)) = T(x,K(y,z * x)). x != K(y,K(z,u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(x,K(z,y)). x != K(y,K(z,u)) | K(y,K(z,z \ u)) = x. K(x,K(y,y \ z)) = K(y,K(z,x)). K(x,K(y,z)) != u | K(K(x,y),z) = u. K(K(x,y),z) = K(z,K(x,y)). K(x,K(y,z)) != u | K(K(z,y),x) = u. K(K(x,y),z) = K(x,K(z,y)). (K(x,y) * z) * K(x,K(y,z)) = z * K(x,y). K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. x * K(y,K(z,x)) = T(x,K(y,z)). K(x,K(y,z)) * z = T(z,K(x,y)). (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). K(x,y) * K(z,K(x,y)) = T(K(x,y),z). K(x,y) * K(y,K(z,x)) = T(K(x,y),z). K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u. K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). K(x,K(y,z)) * K(x,K(y,z)) = 1. x * K(x,K(y,z)) = T(x,K(z,y)). x * K(K(y,z),x) = T(x,K(y,z)). x * K(K(y,z),x) != u | T(x,K(y,z)) = u. K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. T(x,K(y,z)) = T(x,K(z,y)). T(T(x,K(y,z)),K(y,z)) = x. T(x,K(y,z)) != u | T(x,K(z,y)) = u. T(x,K(y,z)) != u * K(y,z) | K(y,z) * u = x. K(x,y) * z = T(z * K(x,y),K(x,y)). T(x * K(y,z),K(y,z)) = K(y,z) * x. T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). x != T(y,K(z,u)) | T(x,K(z,u)) = y. T(x,K(y,z)) != u | T(u,K(y,z)) = x. K(x,y) * z = T(z,K(x,y)) * K(x,y). T(x,K(y,z)) * K(y,z) = K(y,z) * x. K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. (x * K(y,z)) / x = T(K(y,z),x). x * K(y,z) = K(y,z) * T(x,K(z,y)). K(x,y) * T(z,K(y,x)) = z * K(x,y). T(K(x,y) * z,K(y,x)) = 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)). T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). K(x,y) * (z * K(y,x)) = T(z,K(x,y)). x * y != z * x | K(z,x) * z = y. K(x,K(y,z)) * x = T(x,K(z,y)). K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). K(x,y) * z != T(K(x,y) * u,K(x,y)) | T(u,K(x,y)) = z. T(x,K(y,z)) = (K(y,z) * x) * K(z,y). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). K(x,y) * z != T(u * K(x,y),K(x,y)) | u = z. x = (x * K(y,z)) * K(z,y). (x * K(y,z)) * K(z,y) = x. K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). x * (y / z) = (x * (z \ y)) * K(z,z \ y). (x * (y \ z)) * K(y,y \ z) = x * (z / y). x \ T(y,x) = (x \ y) * K(y,x). (x \ y) * K(y,x) = x \ T(y,x). x * K(y,z) = x / K(z,y). x / K(y,z) = x * K(z,y). (x * K(y,z)) \ x = K(z,y). (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). x * K(y \ z,y) != u / (z / y) | u / (y \ z) = x. x / (y \ z) = (x / (z / y)) * K(y,y \ z). (x / (y / z)) * K(z,z \ y) = x / (z \ y). x * K(y,z) != y \ K(y,z) | y \ 1 = x. x \ 1 = (x \ K(x,y)) * K(y,x). (x \ K(x,y)) * K(y,x) = x \ 1. x * K((y \ 1) \ (y \ z),u) != y \ T(z,u) | y \ z = x. x \ y = (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)). (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. x * K(y,z) != u * T(y,z) | u * y = x. x * y = (x * T(y,z)) * K(z,y). (x * T(y,z)) * K(z,y) = x * y. 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) != u / ((z * y) / z) | u / y = x. x / y = (x / ((z * y) / z)) * K(z,y). (x / ((y * z) / y)) * K(y,z) = x / z. 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 \ ((x * K(y,z)) * (K(z,y) * u)) = L(u,K(z,y),x * K(y,z)). (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y * K(z,u),x). L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). x != y * K(z,u) | x * K(u,z) = y. x * K(y,z) != u | u * K(z,y) = x. (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ x != u | K(z,y) = u. x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). x / K(y,z) != u | u = x * K(z,y). x / K(y,z) != u | x * K(z,y) = u. R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. x * y = (x * K(z,y)) * T(y,z). (x * K(y,z)) * T(z,y) = x * z. x * (y \ 1) = (x * K(y,z)) * (T(y,z) \ 1). (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). K(x \ y,z) = K((x * K(u,z)) \ y,z). K((x * K(y,z)) \ u,z) = K(x \ u,z). T(x,y) = T(x,y * K(z,x)). T(x,y * K(z,x)) = T(x,y). K(x * y,z) = K(x * (y * K(u,z)),z). K(x * (y * K(z,u)),u) = K(x * y,u). x * K(y,K(z,u)) = (x * K(z,y)) * T(K(y,z),u). (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). x * K(y,z) = (x / T(z,y)) * z. (x / T(y,z)) * y = x * K(z,y). (x * T(y,z)) \ (x * y) = K(z,y). (x * T(x \ y,z)) \ y = K(z,x \ y). (x * y) * z = (x * T(y,z)) * T(z,y). (x * T(y,z)) * T(z,y) = (x * y) * z. (x * K(y,z)) \ (x * z) = T(z,y). x * y != K(z,z \ u) * u | (z * (u / z)) / y = x. (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). (x * y) / T(T(x,y),z) = y * K(z,T(x,y)). (x * K(y,x \ z)) \ z = T(x \ z,y). x * y != (((z / u) / w) * w) * u | z / y = x. x / y = (x / T(y,z)) / K(z,y). (x / T(y,z)) / K(z,y) = x / y. (x * y) * T(z,y) = (x * ((z * y) / z)) * z. (x * ((y * z) / y)) * y = (x * z) * T(y,z). (T(x,y) \ z) * T(T(x,z),y) = (x \ z) * T(x,z). x * T(K(y,x),z) = T(x,K(z,y)) * K(y,x). T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). x != T(y,K(z,u)) | T(y,K(z,z * u)) = x. T(x,K(y,y * z)) = T(x,K(z,y)). T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). T(L(T(x,K(y,z)),K(z,y),K(y,u)),K(y,u)) = R(T(x,K(y,u) * K(z,y)),K(y,u),K(z,y)). x != K(y,K(z,u)) | K(y,K(z,u * z)) = x. K(x,K(y,z * y)) = K(x,K(z,y)). x != K(y,K(z \ u,z)) | K(y,K(u / z,u)) = x. K(x,K(y / z,y)) = K(x,K(z,z \ y)). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y \ 1,u,w) \ 1)). K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,((1 / u) / (y / u)) \ 1)). K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). K(x,T(K(y,z),u)) = K(x,K(z,T(y,u))). K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z) != v5 | (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = v5. (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). (x * K(y,z)) * K(z,y) != u | u = x. ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). (K(x,y) * z) * (K(y,x) * u) = K(x,y) * ((z * K(y,x)) * u). x / (K(y,z) \ 1) = x * K(y,z). K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). x / K(y,T(z,u)) = x * K(z,T(y,u)). L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) != z | K(x,y) = z. L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. K(x,T(y,z)) = (u * K(y,T(x,z))) \ u. (x * K(y,T(z,u))) \ x = K(z,T(y,u)). x != K(y,L(z \ 1,u,w) \ 1) | L(K(y,z),u,w) = x. L(K(x,y),z,u) = (w * K(L(y \ 1,z,u) \ 1,x)) \ w. (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). x \ (y * (z * T(u,w))) != K(L(u,z,y),w) | y * (z * u) = x. x * (y * z) = (x * (y * T(z,u))) * K(u,L(z,y,x)). (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) = K(x,y). ((x * K(y,z)) \ x) \ u = K(y,z) * u. (x * R(K(y,z),u,w)) \ x = K(z,R(y,y \ u,w)). K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y). K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. x * y != (z * u) * L(w,u,z) | x \ (z * (u * w)) = y. (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). L(T(x,y),y,z) = (z * T(y,L(x,y,z))) \ (z * (y * x)). (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (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(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 = (x * (y * K(z,u))) * L(K(u,z),y,x). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. x \ ((y \ z) \ z) != u | x \ T(y,y \ z) = u. (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). T(K(x,y),z) * z = z * K(x,y). (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u) != w | T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = w. T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). T(T(K(x,y),z),z) = K(x,y). L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). (x * T(x \ y,z)) / y = T(K(x \ y,z),y). x * y != y * K(z,y \ u) | K(z,u / y) = x. K(x,y / z) = T(K(x,z \ y),z). T(K(x,y \ z),y) = K(x,z / y). x * y != y * K(y \ z,u) | K(z / y,u) = x. K(x / y,z) = T(K(y \ x,z),y). T(K(x \ y,z),x) = K(y / x,z). x * y != y * K(z,u \ y) | K(z,y / u) = x. K(x,y / z) = T(K(x,z \ y),y). T(K(x,y \ z),z) = K(x,z / y). x * y != y * K(z,T(u,y)) | K(z,u) = x. K(x,y) = T(K(x,T(y,z)),z). T(K(x,T(y,z)),z) = K(x,y). x * y != y * K(z,T(u,y) \ 1) | K(z,u \ 1) = x. K(x,y \ 1) = T(K(x,T(y,z) \ 1),z). T(K(x,T(y,z) \ 1),z) = K(x,y \ 1). K(x \ y,z) * y = y * K(y / x,z). K(x,y \ z) * z = z * K(x,z / y). K(x,T(y,z)) * z = z * K(x,y). K(T(x,y),z) * y = y * K(x,z). T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). K(x,y) * z != u | T(x,y) * (x \ z) = u. T(x,T(y,z)) * (x \ z) = z * K(x,y). K(x,y / z) = K(x,T(z \ y,z)). K(x,T(y \ z,y)) = K(x,z / y). K(x / y,z) = K(y \ x,T(z,y)). K(x \ y,T(z,x)) = K(y / x,z). K(x,y / z) = K(x,T(z \ y,y)). K(x,T(y \ z,z)) = K(x,z / y). x * y != y * K(z,(y \ u) \ 1) | K(z,(u / y) \ 1) = x. K(x,(y / z) \ 1) = K(x,T((z \ y) \ 1,z)). K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). x * y != y * K(T(z,y),u) | K(z,u) = x. K(x,y) = K(T(x,z),T(y,z)). K(T(x,y),T(z,y)) = K(x,z). K(x,y) = K(x,T(T(y,z),z)). K(x,T(T(y,z),z)) = K(x,y). x * y != K(z,T(u,w)) * w | (w * K(z,u)) / y = x. (x * K(y,z)) / (y \ x) = T(y,T(z,x)). x * K(y,z) != u * x | K(y,T(z,x)) = u. (x * y) \ ((x * K(z,u)) * y) = R(T(K(z,T(u,x)),x * y),x,y). R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). R(x,K(T(y,z),u),z * K(u,y)) * z = (x * K(T(y,z),u)) * (K(u,T(y,z)) * z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x \ y,z) != u | K((y \ x) \ 1,z) = u. K((x \ y) \ 1,T(z,y)) = K(x / y,z). K(x,T(y,z)) = K((z * x) / z,y). K((x * y) / x,z) = K(y,T(z,x)). K(a(x,y,z),T(u,x * (y * z))) = K(((x * y) * z) / (x * (y * z)),u). K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). K((x \ y) \ z,x) = K(z / (x \ y),y / (y / x)). K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). (1 / (x \ y)) * K(y / x,z) = K(x \ y,T(z,x)) / (x \ y). K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). K(x,R(y,z,u)) != w | R(y,z,u) \ R(y * K(x,y),z,u) = w. R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). K(x,L(y,z,u)) != w | L(y * K(x,y),z,u) / L(y,z,u) = w. L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. K((x * y) / x,T(((x * y) / x) * z,u)) = K(y,T(T(z * ((x * y) / x),u),x)). K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). K(T(x,x * y) * y,z) = K(x * y,T(z,x)). K(x \ T(x * y,y),z) = K(y,T(z,x * y)). ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). K(x * K(y,x),z) = K(x,T(z,y)). K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K((w * u) / w,x)). K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). K(x,T(y / z,y)) != u | K(x,z \ y) = u. K(T(x,y),z \ y) = K(x,y / z). K(T(x / (x / y),x),z) != u | K(y,z) = u. K(x,T(y,z)) = K(z / (z / x),y). K(x / (x / y),z) = K(y,T(z,x)). 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(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). K(T(x,y),y \ z) = K(x,z / y). K(T(x,y),z) = K(x,(y * z) / y). K(x,(y * z) / y) = K(T(x,y),z). K(T(x,y),R(z,y,u)) = K(x,((y * z) * u) / (y * u)). K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). K(x * y,T(z,T(x,y))) = K(T(x,x * y) * y,z). K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). K(T(x,y \ 1),(1 / y) \ z) = K(x,z / (1 / y)). K(x \ y,T(z,(y * x) / y)) = K(y / x,z). K(T(x,y \ z),y) = K(x,z / (z / y)). K(T(x,y),T(z,x \ u)) = K(T(u / (u / x),y),z). K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). x * K(T(x,y),T(z,y)) = T(x,z). K(T(x,y),T(z,u)) = K(x,T(z * K(y,z),u)). K(x,T(y * K(z,y),u)) = K(T(x,z),T(y,u)). K(x,y) * T(x,z) = T(T(x,z),T(y,z)). T(T(x,y),T(z,y)) = K(x,z) * T(x,y). K(T(x,y),z) = K(x,z * K(y,z)). K(x,y * K(z,y)) = K(T(x,z),y). K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. K(x,y) * T(y,z) = T(y * K(T(x,z),y),z). T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). K(T(x,x \ y),z) != u | K(T(x,y),z) = u. K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). K(x \ y,T(z,y)) = K(y / x,z). T(x,y) != K(z,u) | y / (y / K(z,u)) = x. x / (x / K(y,z)) = K(y,T(z,x)). K(x,y) != T(z,u) | K(x,T(y,u)) = z. T(x,y) != K(z,u) | K(z,T(u,y)) = x. x * R(K(y,z),u,w) = R(K(y,T(z,x)),u,w) * x. R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). (x * y) * R(K(z,u),x,y) = (K(z,T(u,x * y)) * x) * y. (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). T(K(x \ y,z),y) = K(y / x,z). K(x,T(y,z)) = K(x,(z * y) / z). K(x,(y * z) / y) = K(x,T(z,y)). K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). x != K(T(y,z),L(T(u,z),w,v5)) | K(y,L(u,w,v5)) = x. K(x,L(y,z,u)) = L(K(x,y),z * T(y,w),u). L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). 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). L(K(x,y),y * z,u) = K(x,L(y,z,u)). L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). L(K(x,y),z,u) = K(x,L(y,y \ z,u)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). K(x * y,x) = K(x * y,L(x,y,z)). K(x * y,L(x,y,z)) = K(x * y,x). L(K(x,y),y * x,z) != u | (z * (y * x)) \ (z * (x * y)) = u. (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). L(K((x \ y) \ z,u),z,x) != w | K(y \ (x * z),u) = w. K(x \ (y * (z * u)),z) = K((y \ x) \ (z * u),L(z,u,y)). K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). K(L(x,y,z),y) = K(x,L(y,x,z)). (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). x * (y * z) != (x * (z * y)) * u | K(y,L(z,y,x)) = u. (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. K((x * (y * z)) \ u,y) = K((x * (z * y)) \ u,y). K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). T(x,y * (x * z)) = T(x,y * (z * x)). T(x,y * (z * x)) = T(x,y * (x * z)). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). x != K(((y \ 1) * (y * z)) \ u,w) | K(L(z,y,y \ 1) \ u,w) = x. K(L(x,y,y \ 1) \ z,y) = K(((y \ 1) * (x * y)) \ z,y). K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). x != K(y,z) * (K(u,y) * w) | K(u,y) * (K(y,z) * w) = x. K(x,y) * (K(y,z) * u) = T(K(x,y) * u,K(y,z)) * K(y,z). T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). x \ T(K(y,z) * x,u) = T(x * K(y,z),u) / x. T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). K(x \ y,z \ y) = K(y / x,y / z). K(x / y,x / z) = K(y \ x,z \ x). K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. K(x \ (y * z),T(y,z)) = K((y * z) / x,y). K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. K(x,(y * z) \ u) = (y * (z * T(z \ (y \ u),x))) \ u. (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). (x * T(x \ y,z)) \ y = K(z,(x * K(z,u)) \ y). K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). K(x,y) = K(x,K(z,x) \ y). K(x,K(y,x) \ z) = K(x,z). K(x,R(K(y,x),z,u) * w) = K(x,w). K(x,T(x,y) \ z) = K(x,x \ z). T(K(x,y) * z,K(x,z)) = K(x,y) * z. K(K(x,y),z) = K(x,K(K(x,u) * y,z)). K(x,K(K(x,y) * z,u)) = K(K(x,z),u). K(K(a(x,y,T(z,y)),y),u) != w | K((x * (z * y)) \ ((x * y) * z),K(y,u)) = w. K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. K(R(K(x,y),z,u),w) = K(y,K(R(x \ 1,z,u) \ 1,w)). K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). (1 / x) * K(y,K(x,z)) = 1 / T(x,K(y,z)). K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). T(x,y) != K(z \ 1,u) | K(z \ K(z,y),u) = x. K(x \ K(x,y),z) = T(K(x \ 1,z),y). T(K(x \ 1,y),z) = K(x \ K(x,z),y). L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. K(x,y) * K(x,K(y,z)) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). x / K(x / y,z) = K(y \ x,z) \ x. K(x,T(y,z)) != u | K(T(x,z),y) = u. x * K(y,z) = K(z,T(y,x)) \ x. K(x,T(y,z)) \ z = z * K(y,x). K(x,T(y,z)) * (z * K(y,x)) = z. x != K(y * z,y) | K(T(y,u) * z,y) = x. K(T(x,y) * z,x) = K(z * T(x,u),x). K(x,(y * (z \ x)) \ u) = K(x,(y * (x / z)) \ u). K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). K(x,(y * (x / y)) \ z) = K(x,x \ z). K(x,(y * z) \ u) = K(x,(y * ((z \ x) \ x)) \ u). K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). K(x,((y \ x) * y) \ z) = K(x,x \ z). L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). 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). L(K(x,(y \ z) \ u),u,y) != w | K(x,z \ (y * u)) = w. K(x,y \ (z * (x * u))) = K(L(x,u,z),(z \ y) \ (x * u)). K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). L(K(x,y),K(z,x),u) = K(L(x,T(x,z) \ 1,u),y). K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). R(K(x,T(y,z)),z,u) = K((z * u) / ((z / x) * u),y). K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). x != K((y * z) / (y * (u \ z)),w) | (y * (K(u,w) * z)) / (y * z) = x. (x * (K(y,z) * u)) / (x * u) = L(K(y,T(T(z,u),x * u)),u,x). L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). (x * (y * K(z,u))) \ (x * y) != w | w = L(K(u,z),y,x). (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. (x * (K(y,z) * u)) \ (x * u) != w | w = L(K(z,T(y,u)),u,x). (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. K(x,y \ z) = K(x,(y * K(x,u)) \ z). K(x,(y * K(x,z)) \ u) = K(x,y \ u). x * K(x,y \ z) = T(x,(y * K(x,u)) \ z). T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). K(x,(K(x,y) * z) \ u) = K(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,y \ z) = K(x,(y * K(u,x)) \ z). K(x,(y * K(z,x)) \ u) = K(x,y \ u). K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). K(x,(y * (x \ z)) \ u) = K(x,(y * (z / x)) \ u). K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). K(x,T(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). K(x,T(L(y,z,u),u * z)) = K(x,(u * (z * y)) / (u * z)). K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * 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. (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). ((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) = K(z,((x / y) * L(y,u,w)) \ (x * L(y,u,w))). L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,((w / y) * L(y,z,u)) \ (w * L(y,z,u))). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). K(x,y) = L(K(x,y),L(y,z,u),w). L(K(x,y),L(y,z,u),w) = K(x,y). L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). K(x \ (y * L(z,u,w)),z) = K((y \ x) \ L(z,u,w),z). K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). L(K(x,y),y,z) = K(x,y). x != K(y,z) | K(y,z * K(y,u)) = x. K(x,y * K(x,z)) = L(K(x,y),y,u). L(K(x,y),y,z) = K(x,y * K(x,u)). x != K(y,z) | K(y,((u * z) \ u) \ 1) = x. K(x,((y * z) \ y) \ 1) = L(K(x,z),z,u). L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. K(L(x,y,z),x * y) = K(x,x * y). K(x \ (y * z),z) = K((y \ x) \ z,z). K((x \ y) \ z,z) = K(y \ (x * z),z). K(L(x,y,z),y * x) = K(x,y * x). a(x,y,K(z,y)) = 1. L(K(x,y),z,u) = L(L(K(x,y),z,u),y,w). L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). (x * y) * K(z,y) = x * (y * K(z,y)). x * K(y,z) = (x / z) * (z * K(y,z)). (x / y) * (y * K(z,y)) = x * K(z,y). L(K(x,y),y,z) != u | K(x,y) = u. K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. x != K(y,z * y) | K(y,y * z) = 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(x,T(y,z * u)) = K(x,T(y,(z * K(w,x)) * u)). K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). (x * y) \ ((x * K(z,u)) * y) = K(((x / z) * y) \ (x * y),u). K(x,(y * z) \ u) = K(x,((y * K(w,x)) * z) \ u). K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). x != L(K(y,z),u * z,w) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = L(L(K(x,y),z * y,u),y,w). L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). K(x \ (y * z),L(z,u,w)) = K((y \ x) \ z,L(z,u,w)). K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). a(x,T(y,z),K(u,y)) = 1. L(K(x,y),T(y,z),u) = K(x,y). L(K(x * y,x),T(x,y),z) != u | (z * T(x,y)) \ (z * R(x,y,x)) = u. (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). x * y != L(K(z,u),T(u,w),v5) | x \ K(z,u) = y. (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). T(K(x \ y,z),y) != u | K(y / x,z) = u. K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. K(x \ y,T(z,y)) != u | K(y / x,z) = u. K(T(x \ y,x),z) != u | K(y / x,z) = u. 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) \ 1,z),u) != w | w = K(x,u). K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. K(K(x,y) * z,x) != u | K(z,x) = u. K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(x,T(T(y,z),z)) != u | K(x,y) = u. x != K(y,z) | K(T(y,u),T(z,u)) = x. K(T(x,y),T(z,y)) = K(L(x,T(x,u) \ 1,w),z). K(T(x,y),T(z,y)) != u | K(x,z) = u. K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. 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). (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. x * y != z * K(u,x) | T(z / T(x,u),x) = y. T(x / T(y,z),y) = y \ (x * K(z,y)). x \ (y * K(z,x)) = T(y / T(x,z),x). x * ((y \ z) \ 1) != y * K(z,(y \ z) \ 1) | ((y \ z) \ 1) \ y = x. ((x \ y) \ 1) \ x = x / T((x \ y) \ 1,y). x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). L(K(x,y),z,u) = L(K(x,y),z * K(y,x),u). L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). x * y != (z * (K(u,w) * v5)) * L(K(w,T(u,v5)),v5,z) | (z * v5) / y = x. (x * y) / (x * (K(z,u) * y)) = L(T(K(u,T(z,y)),x * (K(z,u) * y)),y,x). L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). x * y != (z * (u * K(w,v5))) * L(K(v5,w),u,z) | (z * u) / y = x. (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * (y * K(z,u))),y,x). L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). (x * y) / (x * (K(z,u) * y)) = K((x * y) / (x * (u \ y)),z). K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). (x * (K(y,z) * u)) / (x * u) = K(y,(x * u) / (x * (z \ u))). x \ ((T(y,z) / x) \ y) = K(z,((T(y,z) / x) \ 1) \ ((T(y,z) / x) \ y)). K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). K(x,(y * z) / y) != u | ((y * ((x * z) / x)) / y) / ((y * z) / y) = u. ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * (y * K(z \ 1,y))) / x) = K(y,T((z \ u) / u,x)). K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). x != ((y * z) / y) / ((y * (z * K(u,z))) / y) | K(z,T(u,y)) = x. K(x,T(y \ 1,z)) = K(x,T((y \ u) / u,z)). K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). K(x,T(y / z,u)) = K(x,T((z / y) \ 1,u)). K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). x != (K(y * z,u) * z) * T(y,z) | (y * z) * R(K(y * z,u),z,T(y,z)) = x. (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * ((x * y) / x)) * x. (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). T(x,y \ z) = T(x,(y * K(x,u)) \ z). T(x,(y * K(x,z)) \ u) = T(x,y \ u). T(x,y \ z) = T(x,(K(u,x) * y) \ z). T(x,(K(y,x) * z) \ u) = T(x,z \ u). T(x,(y * (x * z)) \ u) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). T(x,(K(y,x) * z) \ (K(y,x) * u)) != w | T(x,z \ u) = w. T(x,y \ z) = T(x,y \ (K(u,x) * z)). T(x,y \ (K(z,x) * u)) = T(x,y \ u). T(x,y \ 1) = T(x,y \ K(x,z)). T(x,y \ K(x,z)) = T(x,y \ 1). T(x,y \ (x * z)) = T(x,y \ (T(x,u) * z)). T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). T(x,y \ (z * x)) = T(x,y \ (x * z)). T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). T(x,y \ ((x \ z) * x)) = T(x,y \ z). L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. K(R(x,y,z),T(u,x \ w)) = K(R(w / (w / x),y,z),u). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). K(L(R(x,y,z),x \ u,x),T(w,u)) = K(R(u / (u / x),y,z),w). R(x,y,K(z,y)) = x. K(x,T(y,z)) = K(L(x,z,L(x,u,w)),T(y,L(x,u,w) * z)). K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). K(x * K(y,x),z) != u | T(x * K(y,x),z) * (x \ K(x,y)) = u. T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). K(x * K(y,x),z) != u | (K(x,y) / x) * T(x * K(y,x),z) = u. (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). T(x * K(y,T(x,z)),u) / T(x,u) = K(y * K(z,y),T(x,u)). K(x * K(y,x),T(z,u)) = T(z * K(x,T(z,y)),u) / T(z,u). K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). K(x * K(y,x),z) = K(x,T(z,T(y,R(x,u,w)))). K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. K((K(x,y) * z) / u,x) = K(u \ z,T(x,z)). K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). K(x \ 1,T(y,z)) = K(x \ K(u,y),T(y,z)). K(x \ K(y,z),T(z,u)) = K(x \ 1,T(z,u)). K(x \ (y * z),T(y,u)) = K(x \ (z * y),T(y,u)). K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). K(x \ (y \ z),T(y,u)) = K(x \ (T(y,w) \ z),T(y,u)). K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). K(x / y,z) = K((K(z,u) * x) / y,z). K((K(x,y) * z) / u,x) = K(z / u,x). (x * K(y / z,u)) \ x = K(u,(K(u,w) * y) / z). K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T((K(y,w) * z) / u,x)). K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). x != (y * K(z,u)) \ y | K(u,z) = x. K(x,y / z) = K(x,(K(x,u) * y) / z). K(x,(K(x,y) * z) / u) = K(x,z / u). K(x,(x * y) / z) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,(x * y) / z). K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). x != K(y,(y * z) / u) | K(y,(u / z) \ y) = x. K(x,(y / z) \ x) = K(x,(z * x) / y). K(x,(y * x) / z) = K(x,(z / y) \ x). x * K(x,(x * y) / z) = T(x,(y * x) / z). x != K(y,K(z,z \ u)) | K(y,K(z,u)) = 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)) = K(x,K(y \ z,z)). K(x,K(y \ z,z)) = K(x,K(y,z)). K(x,K(y,z)) != u | K(x,K(z,y)) = u. K(x,K(y,z \ y)) = K(x,K(z,y)). x != K(y,K(z,u)) | K(y,K(u,z)) = x. K(x,K(y,z)) = K(x,K(y,z \ y)). K(x,K(y,z \ y)) = K(x,K(y,z)). K(x,K(y,z \ y)) != u | K(x,K(y,z \ 1)) = u. K(x,K(y,z \ 1)) = K(x,K(z,y)). K(x,K(y,z \ 1)) = K(x,K(y,z)). x != K(y,K(z,u)) | K(u,K(y,z)) = 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 \ 1,z)) = K(x,K(z,y)). K(x,K(y,z)) != u | K(y,K(z,x)) = u. K(x,K(y \ 1,z)) = K(z,K(x,y)). K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(x \ 1,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) = K(x,K(y,1 / z)). K(x,K(y,1 / z)) = K(x,K(y,z)). x * K(x,K(y,z)) = T(x,K(y,z \ 1)). T(x,K(y,z \ 1)) = x * K(x,K(y,z)). K(x,K(y,z / u)) = K(x,K(y,u / z)). K(x,K(y,z / (u * z))) = K(x,K(y,u)). K(x,K(y,z \ u)) = K(x,K(y,u \ z)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). x != y * K(y,K(z,u)) | T(y,K(u,z)) = x. T(x,K(y,z)) = T(x,K(z,y \ 1)). T(x,K(y,z \ 1)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(y,z \ 1)). T(x,K(y,z \ 1)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z \ 1,y)). T(x,K(y \ 1,z)) = T(x,K(z,y)). T(x,K(y,z \ u)) = T(x,K(u \ z,y)). T(x,K(y \ z,u)) = T(x,K(u,z \ y)). K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). K(x,T(y \ z,y)) != u | K(x,z / y) = u. K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = R(T(x,K(y,u) * K(z,y)),K(y,u),K(z,y)). R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). K(x,y \ ((z * K(u,x)) * w)) = K(x,T(((z * K(u,x)) * w) / y,z * w)). K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). K(x * y,(x \ z) \ y) = K((x \ 1) \ y,z \ (x * y)). K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). (x * (y * z)) * K(z,L(y,z,x)) != u | u = x * (z * y). (x * (y * z)) * K(z,L(y,z,x)) != u | x * (z * y) = u. x != K(y,L(z,u / z,w)) | L(K(y,z),u,w) = x. L(K(x,y),z,u) = L(K(x,y),z * K(y,w),u). L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). L(K(x,K(y,z)),u,w) = K(L(K(x,y),u * K(y,v5),w),z). K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). x != L(K(y,K(z,u)),w,v5) | K(L(K(z,y),w,v5) \ 1,u) = x. K(L(K(x,y),z,u) \ 1,w) = K(L(K(y,x),z * K(x,v5),u),w). K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). T(x,(x * y) / z) = T(x,(y * x) / z). T(x,(y * x) / z) = T(x,(x * y) / z). T(x / y,z \ ((y \ x) * u)) = T(x / y,z \ ((x / y) * u)). T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). x * K(x,y \ z) = T(x,y \ ((x \ z) * x)). T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). K(x,T(y,z \ u)) = K(x,T(y,z \ (y \ u))). K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). K(x,T(y / z,u)) = K(x,T((K(x,w) * y) / z,u)). K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). K(x,T((K(x,y) * z) / u,z)) != w | K(x,u \ (K(x,y) * z)) = w. K(x,y \ (K(x,z) * u)) = K(x,T(u / y,u)). K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). K(x,y \ z) = K(x,y \ (K(x,u) * z)). K(x,y \ (K(x,z) * u)) = K(x,y \ u). K(x,y \ (z * u)) = K(x,y \ (T(z,x) * u)). K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). K(x,y \ (x * z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,y \ (x * z)). K(x,y \ T(x,z)) = K(x,y \ x). 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 \ (x \ z)) = K(x,y \ (T(x,u) \ z)). K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). K(x,y \ z) = K(x,y \ ((x \ z) * x)). K(x,y \ ((x \ z) * x)) = K(x,y \ z). K(x,y \ R(x,z,z \ 1)) = K(x,y \ ((z * x) * (z \ 1))). K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). T(K(x,y \ z),u) = K(x,T(y \ (K(x,w) * z),u)). K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * 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 * (x \ u))) = K(x,y \ (z * (u / x))). K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ 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,z,u)) = K(x,L(y,K(x,w) * z,u)). K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). K(x,L(y,z * K(x,u),w)) = K(x,L(y,z,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(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 \ z) = K(x,y \ (z * K(u,x))). K(x,y \ (z * K(u,x))) = K(x,y \ z). K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). K(x,y \ z) = K(x,y \ ((T(u,x) / z) \ u)). K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). x != K(y \ (z * ((u \ 1) \ 1)),w) | K(y \ (z * u),w) = x. K(x \ (y * z),T(y,u)) = K(x \ (((z \ 1) \ 1) * y),T(y,u)). K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * (y * K(z,u))),T(z,w)). K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). K(x,y) * (z * K(u,T(x,w))) = (K(x,y) * z) * K(u,T(x,w)). (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = L(K(u,z),L(u,w,v5),v6). L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). K(x * (y / z),u) = K(x * (y / T(z,u)),u). K(x * (y / T(z,u)),u) = K(x * (y / z),u). K(x * (y \ ((z \ 1) \ y)),z) = K(x * (((z \ 1) \ y) / y),z). K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). K(x * (y / (T(z,z \ 1) * y)),z \ 1) = K(x * ((T(z,z \ 1) * y) \ (((z \ 1) \ 1) \ (T(z,z \ 1) * y))),z \ 1). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * T((y * z) \ z,y),u) != w | K(x * ((y * z) \ z),u) = w. K(x * ((y * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). T(x,K(y,z \ u)) = T(x,K(y,u \ z)). x != T(y,K(z,z \ u)) | T(y,K(z,u)) = x. T(x,K(y,z)) = T(x,K(z \ y,y)). T(x,K(y \ z,z)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(z,z / y)). T(x,K(y,y / z)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(y,1 / z)). T(x,K(y,1 / z)) = T(x,K(y,z)). K(x,K(y \ 1,z)) = K(x,K(y,z)). K(x \ 1,K(y,z)) = K(y,K(x,z)). K(x,K(y,z \ u)) = K(x,K(u \ z,y)). K(x,K(y \ z,u)) = K(x,K(u,z \ y)). K(x,K(y,z)) = K(y,K(x \ 1,z)). K(x,K(y \ 1,z)) = K(y,K(x,z)). K(x,K(y,z)) = K(x \ 1,K(y,z)). K(x \ 1,K(y,z)) = K(x,K(y,z)). (1 / x) * K(y,K(x,z)) = T(1 / x,K(y,z)). x * y != K(z,K(u \ 1,w)) | x \ K(z,K(u,w)) = y. (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). x != K(y,K(z \ u,u)) | K(y,K(z,u)) = x. K(x,K(y,z)) = K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)) != w | K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = w. K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). K(x,K(a(y,z,u),(y * z) * u)) = K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),y * (z * u))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),z \ (y \ 1))). K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. T(K(x,y),z) = T(K(x,y),z \ 1). T(K(x,y),z \ 1) = T(K(x,y),z). K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). (1 / x) * T(K(y,z),x) = K(y,z) * (1 / x). (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). K(x,T(y,1 / z)) = K(x,T(y,z)). x != T(K(y \ 1,z),u) | K(T(y,u) \ 1,z) = x. K(T(x,y) \ 1,z) = K(T(x,y \ 1) \ 1,z). K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). K(x,T(y,z \ 1)) = K(x,T(y,z)). K(x * y,T(z,x \ 1)) != u | K(x * y,T(z,y)) = u. K(x * y,T(z,y)) = K(x * y,T(z,x)). K(x,T(y,z \ 1)) != u | K(x,T(y,z \ x)) = u. K(x,T(y,z \ x)) = K(x,T(y,z)). K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. K(x,T(y,z \ y)) = K(x,T(y,z)). x * K(x,T(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = x * K(x,T(y,z)). K(x,T(y,z \ u)) = K(x,T(y,u \ 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). K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). K(x * R(y,z,u),y) = K(x * R(y,z,u),T(y,x)). K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). x * y != T(z,u) * K(u * L(z,w,v5),z) | x \ R(z,u,L(z,w,v5)) = y. x \ R(x,y,L(x,z,u)) = K(y * L(x,z,u),x) * K(x,y). K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). x \ R(x,y,L(x,z,u)) = K(x,y) * K(y * L(x,z,u),x). K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). x != L(K(y,z),T(z,u),w) | K(y,z) = x. K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,L(y,z,u))). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). T(x,T(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = T(x,T(y,z)). T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. T(x \ 1,y) = T(x \ 1,T(y,x)). T(x \ 1,T(y,x)) = T(x \ 1,y). T(x,T(y,z \ u)) = T(x,T(y,u \ z)). T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). x * y != T(z,u) * K(u * R(z,w,v5),z) | x \ R(z,u,R(z,w,v5)) = y. x \ R(x,y,R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). R(x,y,R(x,z,u)) * w = T(x,y) * (K(y * R(x,z,u),x) * w). T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. K(x,y) * z != u | R(y * x,K(x,y),z) \ ((x * y) * z) = u. R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). K(R(x,y,z) * u,x) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). K(x,T(y \ z,u \ y)) != w | K(x,T(y \ z,u \ z)) = w. K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). K(x / y,T(z,x)) != u | K(y \ x,z) = u. K(x \ (y \ z),z) = K((y \ z) / x,T(z,y)). K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). K(x,T(y * z,z)) = K(x,T(y * z,y)). K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. K(x,T(y * (z \ x),z)) = K(x,T(y * (z \ x),y)). x != T(y,T(z,z \ y)) | T(y,z) = x. T(x,y) = T(x,T(y,x \ y)). T(x,T(y,x \ y)) = T(x,y). K(x,T(y \ 1,z)) != u | K(x,z \ (y \ z)) = u. K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). K(x,y) * (y * K(z,y)) != u | (y * K(z,y)) * K(x,y) = u. (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. R(x,y,K(z,T(y,u))) = x. R(x,T(y,z),K(u,y)) = x. x * (y * K(z,T(y,u))) = (x * y) * K(z,T(y,u)). (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). K(x \ (y * z),T(z,u)) = K((y \ x) \ z,T(z,u)). K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). L(K(x,T(y,z)),y,u) = K(x,T(y,z)). L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). L(K(x,T(y,z)),T(y,z),z) != u | R(T(K(x,y),y * z),y,z) = u. R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). R(T(K(x \ y,y),y * z),y,z) != u | K(((y * z) \ (x * z)) \ 1,y) = u. K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). K((x * y) \ (z * y),z) = K(x \ z,((z * y) \ y) \ 1). K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). K(x \ y,z \ (y * z)) = K((x * z) \ (y * z),y). K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). K(x \ (y * z),y) = K((x / z) \ y,T(y,z)). K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). x != K(y \ (z * u),z) | K(y \ (u * z),z) = x. K(x \ (y * z),z) = K((x / y) \ z,T(z,y)). K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). K(x \ y,T(y,x \ z)) = K(z \ ((x \ z) * y),y). K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). (x / (y \ z)) * (z / y) = x * K(y,y \ z). (x * K(y,z)) \ (x * (z * K(y,z))) = z. L(T(x,K(y,x)),K(y,x),z) = x. (x * K(y,z)) * z = x * (z * K(y,z)). L(x,K(y,x),z) = x. R(x,y,z) = L(R(x,y,z),K(u,x),w). L(R(x,y,z),K(u,x),w) = R(x,y,z). L(x,y,z) = L(L(x,y,z),K(u,x),w). L(L(x,y,z),K(u,x),w) = L(x,y,z). (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). R(x,K(y,z),T(z,u)) = x. (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 * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)) = R(x,K(y,z),L(L(z,u,w),K(y,z),x)). R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). x = R(x,K(y,z),L(L(z,u,w),K(y,z),x)). R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. R(x,K(y,z),L(z,u,w)) = x. R(x,K(y,z),L(T(z,u),w,v5)) = x. (x * (R(y,z,u) * K(w,y))) / (K(w,y) * R(y,z,u)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). (x * T(y,z)) * z = (x * y) * (z * K(y,z)). (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)) != v5 | (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = v5. (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). R(x,T(y,z),z) = R(x,y,z * K(y,z)). R(x,y,z * K(y,z)) = R(x,T(y,z),z). R(x,K(y,z),T(u,K(y,z))) = R(x,T(K(y,z),u),u). R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). T(x,T(x * y,y)) = T(x,x * y). T(x \ y,T(y,x)) = T(x \ y,y). K(x,K(y,x \ z)) = K(z,K(x,y)). K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). T(x,T(y,K(z,x))) = T(x,y). T(x * y,T(z,K(x,y))) = T(x * y,z). K(x,K(y,z)) != u | K(y,K(x,z)) = u. K(x,K(y,x * z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(x * y,z)). K(x,K(x * y,z)) = K(x,K(y,z)). K(x,K(y,z * y)) * y = T(y,K(x,z * T(y,u))). T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. K(x,K(x \ y,z)) = K(x,K(y,z)). x * K(y * x,y) = y \ T(y * x,y). x \ T(x * y,x) = y * K(x * y,x). (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). x != y / T(z,y) | T(y,z) / z = x. T(x,y) / y = (x / y) * K(x,y). (x / y) * K(x,y) = T(x,y) / y. x * y != (z / u) * K(w,u) | x \ (z / T(u,w)) = y. x \ (y / T(y / x,z)) = K(x \ y,x) * K(z,y / x). K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). (x * K(y,z / y)) / (z / y) = x / (y \ z). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). x != K(y,K(y,z)) | 1 = x. 1 = K(x,K(y,x * y)). K(x,K(y,x * y)) = 1. x != 1 | a(K(y,z),z,u) = x. a(K(x,y),y,z) = K(u,K(w,u * w)). T(x,K(y,x * y)) = x. K(x,y) * z != u / (K(x,y) \ 1) | T(u,K(x,y)) = z. T(x,K(y,z)) = K(z,y) * (x / (K(y,z) \ 1)). K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). x != K(y,(z * y) / u) | K(y,(u / z) \ y) = x. K(x,(y / z) \ x) = T(K(x,y \ (z * x)),y). T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). x != K(y / z,u) | K((z / y) \ 1,u) = x. K((x / y) \ 1,z) = T(K(x \ y,z),x). T(K(x \ y,z),x) = K((x / y) \ 1,z). T(K(x,y),(z * y) \ z) != u | K(x,y) = u. K(((x * y) \ x) \ z,y) = K(z / ((x * y) \ x),y). K(x / ((y * z) \ y),z) = K(((y * z) \ y) \ x,z). K(x,1 / y) != z | z = K(x,y \ 1). K(x,1 / y) != z | K(x,y \ 1) = z. R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). K(T(x,y),z) = K(x,y / (y / z)). K(x,y / (y / z)) = K(T(x,y),z). x * K(T(x,y),z \ 1) = T(x,z \ K(y,z \ 1)). T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). K(x,y * K(z * y,y)) = K(T(x,y * z),y). K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). T(x,y * K(T(y,z),u)) = T(x,T(y,u * K(z,u))). T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). K(x \ y,z) \ (y * K(y / x,z)) = y. K(x,L((y * z) / y,u,w)) = K(x,T(L(z,u,w),y)). K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). K(x,T(y \ x,z)) = K(x,z \ ((y \ z) * x)). K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). K(x,y) = L(K(x,y),K(z,x),u). L(K(x,y),K(z,x),u) = K(x,y). (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). R(x,K(y,z),K(z,u)) = x. K(x,y) * z != u * (K(w,x) * K(x,y)) | T(u * K(w,x),K(x,y)) = z. T(x * K(y,z),K(z,u)) = K(u,z) * (x * (K(y,z) * K(z,u))). K(x,y) * (z * (K(u,y) * K(y,x))) = T(z * K(u,y),K(y,x)). (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). x != y / K(z,u) | y * K(u,z) = x. x * K(y,z) = R(x / K(z,y),K(u,w),K(w,v5)). R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). R(x,T(K(y,z),u),K(z,w)) = x. (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). R(x,K(y,z),L(K(z,u),w,v5)) = x. R(x,L(K(y,z),u,w),K(z,v5)) = x. R(x,K(y,z),R(K(z,u),w,v5)) = x. (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = 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). a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). L(K(x,y),z,u) * K(y,x) = a(u,z * K(x,y),K(y,x)). L(K(x,y),z,u) * K(y,w) != v5 | K(y,w) * L(K(x,y),z,u) = v5. K(x,y) * L(K(y,x),z,u) = a(u,z * K(y,x),K(x,y)). 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) \ L(K(x,y),z,u) = a(u,z,K(y,x)). K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). K(x,y) * L(K(z,x),u,w) != v5 | L(K(x,z),u,w) \ K(x,y) = v5. L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). x * L(y,z,x / z) != u | (x / z) * (z * y) = u. (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). x * a(y,z,K(x,u)) = T(x,u) * L(K(u,x),z,y). T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). 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) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * (z * a(v5,w,K(x,u)))). K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z). a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. x * y != K(z,u) * (K(u,z) * w) | x \ w = y. a(x,y,K(z,u)) \ w = L(K(z,u),y,x) * (K(u,z) * w). L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = x \ R(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). L(K(x,y),z,u) * (K(y,w) * v5) != v6 | K(y,w) * (L(K(x,y),z,u) * v5) = v6. K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(u,z,K(x,y)) * w = v5. a(x,y,K(z,u)) * w = a(x,y,K(u,z)) \ w. a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). x * a(y,z,K(u,w)) != K(u,w) | x = L(K(u,w),z,y). x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | L(K(x,z),u,w) * v5 = v6. L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) != v6 | a(v5,w,L(K(x,y),z,u)) = v6. a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). L(a(x,y,K(z,u)),w,v5) = a(x,y,L(K(z,u),w,v5)). L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). a(x,y,a(z,u,K(y,w))) = 1. a(x,T(y,z),a(u,w,K(y,v5))) = 1. K(x,y * (z * L(K(u,x),w,v5))) != v6 | K(x,y * z) = v6. K(x,y * z) = K(x,y * (z * a(u,w,K(x,v5)))). K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). T(x,y) * L(K(y,x),z,u) != w | T(x * L(K(y,x),z,u),y) = w. T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). x * y != (z * K(u,w)) * (u * L(K(w,u),v5,v6)) | (z * (u * a(v6,v5,K(u,w)))) / y = x. (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). L(K(x,y),z,u) * K(y,w) != v5 | (u * z) \ ((u * (z * K(x,y))) * K(y,w)) = v5. (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). K(x,y) * L(K(z,x),u,w) = (v5 * L(K(x,z),u,w)) \ (v5 * K(x,y)). (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). R(T(x / K(y,z),u),K(y,z),K(z,y)) != w | T(x * K(z,y),u) = w. T(x * K(y \ 1,z),y) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). T(x,y) * K(y \ 1,z) = T(x * K(y \ 1,z),y). x * K(y,z) != T((K(z,y) * u) * K(y,z),w) | K(z,y) * T(u,w) = x. K(x,y \ 1) * T(z,y) = T(K(x,y \ 1) * z,y). (x \ y) * K(x \ 1,z) = T((y / x) * K(x \ 1,z),x). T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). T((x / y) * K(y \ 1,z),y) != u | y \ (x * K(y \ 1,z)) = u. x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). x * (y * K(x \ 1,z)) = (x * y) * K(x \ 1,z). (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). K(L(x,y,x) \ 1,z) = K(x \ 1,z). R(x,y,K(x \ 1,z)) = x. T(x,y) = R(T(x,y),z,K(x \ 1,u)). R(T(x,y),z,K(x \ 1,u)) = T(x,y). R(x \ 1,y,K(x,z)) = x \ 1. R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) != u | T(x,y) = u. T(x,y) = T(x,y * K(x \ 1,z)). T(x,y * K(x \ 1,z)) = T(x,y). x * y != T(z,u * K(z \ 1,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x \ 1,z)). K(x,y * K(x \ 1,z)) = x \ T(x,y). T(x,T(y,x \ 1) \ z) = T(x,y \ z). K(x,y) = K(x,y * K(x \ 1,z)). K(x,y * K(x \ 1,z)) = K(x,y). K(x,y) = K(x,y / K(x \ 1,z)). K(x,y / K(x \ 1,z)) = K(x,y). K(x,K(x \ 1,y) * z) = K(x,z). K(x,T(y,x \ 1) \ z) = K(x,y \ z). K(x,y) = K(x,y * K(z,x \ 1)). K(x,y * K(z,x \ 1)) = K(x,y). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). K(x,(y * z) \ u) = K(x,(y * T(z,x \ 1)) \ u). K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). K(x,(y * (x \ 1)) \ z) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). K(x,(y * z) \ u) = K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u). K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). T(x,((x \ 1) \ y) \ z) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). K(x \ y,z * K(u,y \ x)) = K(x \ y,z). 1 / K(x,y) = K(y,x / K(y \ 1,z)). K(x,y / K(x \ 1,z)) = 1 / K(y,x). K(x / K(y \ 1,z),y) = K(x,y). K(x,y) = K(x * K(y \ 1,z),y). K(x * K(y \ 1,z),y) = K(x,y). K(x * K(y,z \ 1),z) = K(x,z). K(x / y,z) = K(x / T(y,z \ 1),z). K(x / T(y,z \ 1),z) = K(x / y,z). K(x \ T(y,z \ 1),z) = K(x \ y,z). K(K(x,y \ 1) * z,y) = K(z,y). K(K(x,x \ y) * z,x / y) = K(z,x / y). K((x \ y) \ z,x / y) = K((y / x) \ z,x / y). K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). K(x * K(y \ z,u),z \ y) = K(x,z \ y). K(x * (y \ z),z \ y) = K(x * (z / y),z \ y). K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). (x \ 1) * (y * K(x,z)) = ((x \ 1) * y) * K(x,z). ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). K(x,y) * z != (x \ 1) * (u * K(x,y)) | T((x \ 1) * u,K(x,y)) = z. T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). (x \ 1) * T(y,K(x,z)) = T((x \ 1) * y,K(x,z)). (x \ 1) * y != T((x \ 1) * (z * x),u) | T(z,u) * x = y. T(x,K(y,z)) * y = T(x * y,K(y,z)). (x \ 1) * y != T((x \ 1) * (x * z),u) | x * T(z,u) = y. x * T(y,K(x,z)) = T(x * y,K(x,z)). x * y != T(z,K(x,u)) | T(z / x,T(x,u)) = y. T((x * y) / x,T(x,z)) = T(y,K(x,z)). T(x / y,T(y,z)) = T(y \ x,K(y,z)). T(x,T(y,z)) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z)). T(x * K(y,x),T(y,z)) = T(x,K(y,z)). T(T(x,y),K(z,y)) = T(x,T(y,z)). x != T(y,T(z,u)) | T(y,T(z,u \ 1)) = x. T(x,T(y,z \ 1)) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). x != T(y,T(z,u)) | y * T(K(y,z),u) = x. x * T(K(x,y),z) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = x * T(K(x,y),z). T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). T(x,T(y,T(z,x))) = T(x,T(y,z)). T(T(x,K(y,z)),z) = T(x,T(z,y)). x * T(y,T(x,z)) = T(y,K(z,x)) * x. T(x,K(y,z)) * z = z * T(x,T(z,y)). K(T(x,T(y,z)),z) = K(T(x,y),z). T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). T(x / y,T(y,z)) != u | y \ T(x,K(y,z)) = u. x \ T(y,K(x,z)) = T(x \ y,K(x,z)). x != T(y,K(z,u)) | T(y,K(u,z)) = x. T(x \ y,K(z,x)) = x \ T(y,K(x,z)). x \ T(y,K(x,z)) = T(x \ y,K(z,x)). K(x,T(y \ x,K(y,z))) = K(x,y \ x). (x * K(y \ 1,z)) \ x = K(z,L(y,u,y) \ 1). K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. K(x,y \ 1) = K(x,L(y,z,y) \ 1). K(x,L(y,z,y) \ 1) = K(x,y \ 1). T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). (x * R(x \ (x * K(y,z)),u,w)) * K(z,v5) = R(x,K(y,z),K(z,v5)) * (R(K(y,z),u,w) * K(z,v5)). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). x * (R(K(y,z),u,w) * K(z,v5)) = (x * R(K(y,z),u,w)) * K(z,v5). (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). R(x,T(K(y,z),u),T(K(z,w),v5)) = x. x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),K(u,y) * x). T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). x != y * T(K(z,u),w) | x * T(K(u,z),w) = y. x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. K(x,y) * (L(z,K(u,y),K(y,x)) * (K(u,y) * K(y,x))) != w | K(u,y) * T(z,K(y,x) * K(u,y)) = w. K(x,y) * T(z,K(y,u) * K(x,y)) = T(L(z,K(x,y),K(y,u)) * K(x,y),K(y,u)). T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). (x * K(y * L(z,u,w),z)) * K(z,y) != v5 | (x / (z * K(y,z))) * R(z * K(y,z),y,L(z,u,w)) = v5. (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). x * K(y,z) = (x * K(y,u)) * (K(y,z) * K(u,y)). (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). (x / T(y,z)) * K(y,u) = (x / y) * (K(y,u) * K(z,y)). (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). x * K(y,z) != u * K(w,z) | x = u * (K(z,y) * K(w,z)). x * K(y,z) != u * K(w,z) | u * (K(z,y) * K(w,z)) = x. x * K(y \ 1,y) != y * K(z,y) | (y \ 1) \ K(z,y) = x. (x \ 1) \ K(y,x) = x * (K(y,x) * K(x,x \ 1)). x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). x * K(y,z) != (u * (K(z,w) * K(y,z))) * K(w,z) | u = x. x = (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)). (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. L(K(x,y),K(z,y),u) = K(x,y). (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). x * K(y,z) = (x * K(z,u)) * (K(u,z) * K(y,z)). (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). x != (y * K(z,u)) * (K(w,z) * K(u,z)) | y * K(w,z) = x. x * K(y,z) = ((x * K(z,u)) * K(y,z)) * K(u,z). ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). x * (K(y,z) * K(u,y)) = (x * K(y,z)) * K(u,y). (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). (x * K(y,z)) * K(z,u) = (x * K(z,u)) * K(y,z). (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). (x * K(y,z)) * T(z,u) = ((x * K(z,u)) * K(y,z)) * z. ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). x != (y * K(z,u)) * T(u,w) | y * (K(z,u) * T(u,w)) = x. x * (K(y,z) * T(z,u)) = (x * K(z,u)) * (z * K(y,z)). (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). x * y != (z * K(u,w)) * K(v5,u) | ((z * K(v5,u)) * K(u,w)) / y = x. ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). (x * K(y,z)) * K(u,T(y,w)) = (x * K(T(u,w),y)) * K(y,z). (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). (x / T(y,z)) * K(y,u) = (x * K(y,u)) / T(y,z). (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). R(x,K(y,z),K(u,y)) = x. ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). ((K(x,y) * z) * K(y,x)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) != w | L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)) = w. L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). K(x,y) * K(y,z) = (K(y,x) * K(z,y)) \ 1. (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). x * L(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * L(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). (x * K(y,z)) * L(K(z,y),u,w) != v5 | (x * (y * a(w,u,K(y,z)))) / y = v5. (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). K(x,x \ 1) * y != (K(x,x \ 1) * z) / u | z / u = y. (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). T(x,a(y,z,K(x,u))) = x. a(x,y,K(z,u)) * K(w,z) = K(w,z) * a(x,y,K(z,u)). a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) \ w = v5. a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. x * 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). (K(x,T((1 / y) * z,y) \ z) * (y \ 1)) * z = ((y \ 1) * z) * R(K(x,((1 / y) * z) \ z),y \ 1,z). ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. T(K(x,y),z) * (z / y) = (z / y) * K(x,y). x != (y / z) * K(u,z) | y / T(z,u) = x. x / T(y,z) = T(K(z,y),x) * (x / y). T(K(x,y),z) * (z / y) = z / T(y,x). K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). K(x,T(y,z)) * (z / y) = z / T(y,x). K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). K(T(x,y),z * ((x * y) \ y)) = K(T(x,y),z * (y / (x * y))). K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). K(x,y) = T((y \ 1) \ 1,z) \ ((T(y,z) \ 1) \ K(x,y)). T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). x * y != y * T(z,u) | T(z * K(y,z),u) = x. T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). T(x,T(y,x \ z)) = T(x,T(y,z / x)). T(x,T(y,z / x)) = T(x,T(y,x \ z)). (x * y) \ ((z * T(z \ x,x)) * y) = K(((x * y) \ (z * y)) \ 1,T(x,z)). K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). K(((x * y) \ (z * y)) \ 1,x) = K(((x * y) \ (z * y)) \ 1,T(x,z)). K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). x != K(((y * z) \ (u * z)) \ 1,y) | K(u \ y,((y * z) \ z) \ 1) = x. K(x \ y,((y * z) \ z) \ 1) = K(((y * z) \ (x * z)) \ 1,T(y,x)). K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). x != K(y,(z \ u) \ 1) | K(y,u \ z) = x. K(x \ y,z \ (y * z)) = K((x * z) \ (y * z),T(y,x)). K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). x != (y * z) * K(z,u) | y * T(z,u) = x. x * T(y,z) = K(y,T(z,x)) * (x * y). K(x,T(y,z)) * (z * x) = z * T(x,y). x * y != K(z,T(u,w)) * (w * z) | (w * T(z,u)) / y = x. (x * T(y,z)) / T(x,y) = T(y,T(z,x)). T(K(x,y),z) * (z * x) = z * T(x,y). K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). (x * T(y,y * z)) / T(x,y) = T(y,T(T(y,u) * z,x)). T(x,T(T(x,y) * z,u)) = (u * T(x,x * z)) / T(u,x). (x * T(y,z)) / T(x,y) = T(y,T(z * K(y,u),x)). T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). x != (y * T(z,u)) / T(y,z) | T(z,T(u,y)) = x. T(x,T(y,z)) = T(x,T(y * K(x,u),z)). T(x,T(y * K(x,z),u)) = T(x,T(y,u)). T(x,T(x * y,z)) = T(x,T(T(x,u) * y,z)). T(x,T(T(x,y) * z,u)) = T(x,T(x * z,u)). T(x * K(y,x),T(x * z,u)) = T(x * K(y,x),T((x * K(y,x)) * z,u)). T(x * K(y,x),T((x * K(y,x)) * z,u)) = T(x * K(y,x),T(x * z,u)). (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. T(x,T(y \ x,z)) = T(x,T(x * (y \ 1),z)). T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). x * y != T(z,T(z * (u \ 1),w)) | x \ T(z,T(u \ z,w)) = y. x \ T(x,T(y \ x,z)) = K(x,T(x * (y \ 1),z)). K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(x * (y \ 1),z)). K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). K(x,T(x * y,z)) != u | K(x,T(y * x,z)) = u. K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). T(x,T(y,x)) * (T(y,x) * z) != u | x * (y * z) = u. 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). K(x * y,z) * T(x,y) = K(x,y) * (K(x * y,z) * x). K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). x != (K(y * T(z,y),u) * y) * T(z,y) | (z * y) * R(K(z * y,u),y,T(z,y)) = x. (x * y) * R(K(x * y,z),y,T(x,y)) = K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). T(K(T(x,y),z),y) = K((y / (x * y)) \ 1,z). K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). K((x / (y * x)) \ 1,z * (x / (y * x))) != u | K(y,R(y \ 1,y,x) * z) = u. K(x,R(x \ 1,x,y) * z) = T(K(T(x,y),z * (y / (x * y))),y). T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). K(x,y * ((x * z) \ z)) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). K(x / (y * z),x / z) != u | K(y \ (z \ x),x / z) = u. K(x \ (y \ z),z / y) = K((x * y) \ z,y \ z). K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). T(x,y \ K(z,y \ 1)) != u | T(x,K(z,y \ 1) / y) = u. T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). K(x,K(y,z \ 1) / z) = K(T(x,((z \ 1) / ((1 / (z \ 1)) \ y)) \ 1),z \ 1). K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). x != K(y,K(z,u \ 1) / u) | K(T(y,z),u \ 1) = x. K(T(x,y),z \ 1) = K(T(x,((z \ 1) / ((1 / (z \ 1)) \ y)) \ 1),z \ 1). K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). L(x,y,x) \ x = K(T(y * x,y),x) * K(x,y). K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. R(x,y,x) \ x = K(T(y,y * x),x) * K(x,y * x). K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. K(x * y,y) * K(y,x) = L(y,x,y) \ y. K(x * y,y) * K(y,x) != z | y \ R(y,x,y) = z. x \ R(x,y,x) = L(x,y,x) \ x. L(x,y,x) \ x = x \ R(x,y,x). L(x,y,z) \ x != u | (x \ L(x,y,z)) \ 1 = u. (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). K(x,y) * K(y,x * y) = R(y,x,y) \ y. K(x,y) * K(T(z,y),x) = T((y * x) / y,z) \ x. T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). L(x,y,L(x,z,u)) \ x = K(x,y) * K(T(L(x,z,u) * y,y),x). K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. K(x,y * K(z,y)) != u | K(T(x,z),y) = u. K(T(x,y * z),z) = K(T(x,z * y),z). K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). K(T(R(x,y,z),u * w),u) = K(R(T(x,w * u),y,z),u). K(R(T(x,y * z),u,w),y) = K(R(T(x,z * y),u,w),y). K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). x / T(x,y * K(T(y,z),u)) = K(T(y,u * K(z,u)),x). K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). K(x * K(T(x,y),z),u) = K(T(x,z * K(y,z)),u). K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). K(x,y * T(K(y \ z,y),z)) != u | K(T(x,(y / z) \ 1),y) = u. K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) != u | K(T(x,z),y \ 1) = u. K(T(x,y),z \ 1) = K(T(x,(z \ 1) \ (z \ y)),z \ 1). K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). x != K(y * K(z,y),u) | K(y,T(u,z)) = x. K(x,T(y,z)) = K(x,T(y,T(z,R(x,u,w)))). K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). K(x,T(y,z / R(x,u,w))) != v5 | K(x,T(y,z)) = v5. K(x,T(y,z)) = K(x,T(y,R(x,u,w) \ z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) * z)). K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z * u)) = K(x,T(y,(x * z) * u)). K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). x != K(y,T(z,u)) | K(y,z) * K(y,K(z,u)) = x. K(x,y) * K(x,K(y,z)) = K(x,T(y,R(x,u,w) * z)). K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). K(x,K(y,z)) = K(x,K(y,R(x,u,w) \ z)). K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). K(x,T(y,z * u)) = K(x,T(y,(y * z) * u)). K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,(y \ z) * u)). K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). K(x \ y,T(x,z)) = K(x \ y,T(x,y * z)). K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). K(x \ (y / z),T(x,y)) = K(x \ (y / z),T(x,z)). K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). 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,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). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | u = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. K(x,K(y,z * u)) = K(x,K(y,(y * z) * u)). K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). x != K(y,K(z,z * u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(x,K(y,(y * x) * z)). K(x,K(y,(y * x) * z)) = K(x,K(y,z)). K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,R(x,u,w) / z)). K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. K(x,K(y,z)) = K(x,K(y,z * R(x,u,w))). K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). K(x,K(y,x / z)) = K(x,K(y,z)). K(x,K(y,z * x)) = K(x,K(y,z)). K(x,T(y,(x * z) * u)) != w | K(x,T(y,(z * x) * u)) = w. K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). K(x,T(x * y,z)) = K(x,T(x * y,y * z)). K(x,T(x * y,y * z)) = K(x,T(x * y,z)). K(x,((y * x) * z) \ u) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). K(x,T(y * x,y * z)) = K(x,T(x * y,z)). K(x,T(x * y,z)) = K(x,T(x * y,y \ z)). K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). K(x,T((y / z) * x,y)) = K(x,T(x * (y / z),z)). K(x / y,T(x,y \ z)) = K(x / y,T((x / y) * y,z)). K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). x != K(y / z,T(y,u)) | K(z \ y,T(y,u)) = x. K(x \ y,T(y,x \ z)) = K(y / x,T((y / x) * x,z)). K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). K(x / y,T(x,z)) = K(y \ x,T(x,y \ z)). K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). K(x \ y,T(y,z)) = K(x \ y,T(y,x \ z)). K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). K(x \ y,T(y,x \ z)) != u | K(z \ ((x \ z) * y),y) = u. K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). K(x * K(y,T(x,z)),u) != w | K(x,T(u,T(y,z))) = w. K(x,T(y,T(z,u))) = K(x,T(y,T(z,u \ x))). K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). K(x,T(y \ x,z)) = K(x,T(y \ x,T(z,y))). K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). (K(x,y) / x) * T(x * K(y,x),T(x * z,u)) = K(x,T(T((x * K(y,x)) * z,u),y)). (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. K(x,T(T(x * y,z),u)) = K(x,T(T((x * K(u,x)) * y,z),u)). K(x,T(T((x * K(y,x)) * z,u),y)) = K(x,T(T(x * z,u),y)). K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(x * z,u),y)). (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. K(x,T(y \ (x * z),u)) = K(x,T(y \ (z * ((u * x) / u)),u)). K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). K(x,T(y,z)) != u | K((z * x) / z,y) = u. K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). K(x,y \ (z * x)) != u | K(((1 / (z \ y)) * x) * (z \ y),(1 / (z \ y)) * x) = u. K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). K(((1 / x) * y) * z,u) != w | K(((x \ 1) * y) * z,u) = w. K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). K(x * y,x) != z | K(y * x,x) = z. K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). K(x,T(y / z,u)) = K(x,T((y * K(w,x)) / z,u)). K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). K(x,K(y,z)) = K(1 / z,K(x,y)). K(1 / x,K(y,z)) = K(y,K(z,x)). K(x,K(y,1 / z)) = K(z,K(x,y)). K(x,(T(y,z) / u) / (y / u)) = K(z,K(x,(u \ 1) / (y / u))). K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). K(x,K(y,z \ x)) = K(z,K(x,y)). K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. ((x * y) / x) * z != u | y * (K(x,y) * z) = u. x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),x / y). 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)) * (x \ y) = T(x \ y,K(y,z)). K(x,K(x / y,z)) = K(x,K(y,z)). K(x / y,K(x,z)) = K(x,K(y,z)). K(L(x,y,z),y * x) != u | K(x,y * x) = u. K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). K(x / y,z * (x / y)) != u | K(x / y,z * (y \ x)) = u. K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). K((x * y) / x,z) != u | K(y,T(z,x)) = u. K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). K(x,T((y \ 1) * x,z)) != u | K(x,T(y \ x,z)) = u. K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). L(K(x,K(y,z)),u,w) != v5 | K(L(K(x,y),u,w),z) = v5. K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). K(x,K(y,L(z,u,w))) = K(L(K(z,y),u,w),x). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). L(K(x,K(y,z)),u,w) != v5 | K(L(K(x,y),u * K(y,v6),w),z) = v5. K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) != v6 | K(K(L(y,z,w) \ 1,x) \ 1,v5) = v6. K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). x != K(y \ 1,K(z,u)) | K(z,K(y,u)) = x. K(x,K(y,L(z,u,w))) = K(z,K(x,L(y \ 1,u,w))). K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). K(x,K(y,L(z \ 1,u,w))) != v5 | K(K(L(z,u,w) \ 1,x) \ 1,y) = v5. K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). T(x * K(y,x),z) * (x \ K(x,y)) != u | (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = u. (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). (x \ K(x,y)) * T((x \ 1) \ K(y,x),z * u) = K(x,T(T(z,z \ 1) * u,y)). K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). x != (y \ K(y,z)) * T((y \ 1) \ K(z,y),u) | K(y,T(u,z)) = x. K(x,T(y * z,u)) = K(x,T(T(y,y \ 1) * z,u)). K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). K(x,T((y \ 1) * z,u)) = K(x,T((1 / y) * z,u)). K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). K(x * K(y,x),z) != u | K(x,T(z,y)) = u. K(x,T(T(y,z),u)) = T(y * K(x,T(y,u)),z) / T(y,z). T(x * K(y,T(x,z)),u) / T(x,u) = K(y,T(T(x,u),z)). x * K(T(x,y),R(z,u,w)) = T(x,R((y * z) / y,u,w)). T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). x != K((y * z) / y,u) | K(z,T(u,y)) = x. K(x,T((y \ z) \ 1,u)) = L(K(x,T(z \ y,u)),z \ y,z). L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). L(K(x,T(y,z)),y,u) != w | K(x,T(y,z)) = w. K(x,T(y \ z,u)) = K(x,T((z \ y) \ 1,u)). K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). K(x,T(y \ 1,z)) = K(x,T((u * y) \ u,z)). K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). K(x,T((y \ z) \ 1,u)) != w | K(x,T(z \ y,u)) = w. K(x * ((y \ z) \ 1),T(z \ y,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). K(x,T(y \ z,z)) != u | K(x,z / y) = u. K(x,y / (y * z)) = K(x,T(z \ 1,y)). K(x,T(y \ 1,z)) = K(x,z / (z * y)). K(x,(y * z) \ z) = K(x,z / (z * y)). K(x,y / (y * z)) = K(x,(z * y) \ y). R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). L(x * K(y,T(x,z)),u,w) / L(x,u,w) != v5 | K(y,L(T(x,z),u,w)) = v5. 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(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,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)). K(x,y) = K(x,L(y,z,y)). K(x,L(y,z,y)) = K(x,y). K(x,L(y,z / T(y,u),w)) != v5 | L(K(x,y),z,w) = v5. L(K(x,y),z,y) = K(x,y). x * K(x,y) = T(x,L(y,z,y)). T(x,L(y,z,y)) = x * K(x,y). K((x * y) \ z,x) = K(y \ (x \ z),x). L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. K(L(x,y,z),z) = K(x,z). K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). K(x \ (y * z),y) = K((y \ x) \ z,y). K((x \ y) \ z,x) = K(y \ (x * z),x). (x * y) * K(z,x) = x * (y * K(z,x)). K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). K(x * y,x) = K((x \ 1) \ y,x). K((x \ 1) \ y,x) = K(x * y,x). T(x * K(y,x),L(y,z,x)) = x. K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). R(x,y,z) \ R(x * K(u,x),y,z) = K(L(u,w,x),R(x,y,z)). K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),L(y,w,x)). K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). K(x * K(y,x),z) = K(x,T(z,L(y,u,x))). K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). K(L(L(x,y,z),z * y,u),z) != w | K((u * (z * y)) \ (u * ((y * x) * z)),z) = w. K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). K((x * y) \ z,x) != u | K((y * x) \ z,x) = u. K((x * y) \ z,y) = K(x \ (y \ z),y). K(x \ y,z) = K((z \ x) \ (z \ y),z). K((x \ y) \ (x \ z),x) = K(y \ z,x). K(x \ y,1 / ((z * x) \ z)) = K((x * ((z * x) \ z)) \ ((1 / ((z * x) \ z)) \ y),1 / ((z * x) \ z)). K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). K(x \ y,z) = K((x * z) \ (y * z),z). K((x * y) \ (z * y),y) = K(x \ z,y). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. K((x \ y) \ z,x) = K(y \ (z * x),x). x != y * K(z,u) | y / K(u,z) = x. x / K(y,x) = T(x,L(y,z,y)). T(x,L(y,z,y)) = x / K(y,x). T(x,y) = T(x,L(y,z,y)). T(x,L(y,z,y)) = T(x,y). K((x \ 1) \ y,z) != u | K((1 / x) \ y,z) = u. K((1 / x) \ y,x) = K(x * y,x). L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). x * (y * K(x * y,x)) = T(x * y,x). x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). x / y != T(x,z) | K(z,x) = y. K(L(x,y,x),z) = K(x,z). L(K(x,y),z,x) = K(x,y). x != K(y,T(z,u)) | K(y,T(z,u * y)) = x. K(x,T(y,z * x)) = K(L(x,u,x),T(y,z)). K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) != w | K(R(L(x,y,x),y,z),u \ L(x,y,x)) = w. K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). K(x,y) * L(x,z,x) = L(T(x,y),z,x). K(x,(x * y) \ z) = K(x,y \ (x \ z)). L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,x)) = K(x,y). K(x,y \ (x * z)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (x * z)). a(x,y,K(x,z)) = 1. (x * y) * K(x,z) = x * (y * K(x,z)). K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). K(x,x * y) = K(x,(x \ 1) \ y). K(x,(x \ 1) \ y) = K(x,x * y). K(x,T(y \ (x * z),u)) = K(x,T((x \ y) \ z,u)). K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). L(K(x,y),z * x,u) = K(L(x,z,u),L(y,w,x)). K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). 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,w,x)). K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). K(L(x,y * z,u),L(z,y,x)) != w | K(x,L(L(z,y,x),x * y,u)) = w. K(x,L(L(y,z,x),x * z,u)) = K(L(x,z * y,u),y). K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),(x \ u) \ w). K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). x != K(y,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,y,z),u) = K(x,L(u,x * (y / u),z)). K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). 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 * K(y,L(z,u,w)),z) = K(x,z). K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). K(L(x,T(y,z),u),z) != w | K(L(x,y,u),z) = w. K(L(x,y * (x \ z),u),y) = K(x,L(R(y,x \ z,y),z,u)). K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). K(x,(y * (x / y)) \ z) != u | K(x,x \ z) = u. K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). K(x,y) = K(x,K(z \ x,z) * y). K(x,K(y \ x,y) * z) = K(x,z). K(x * y,K(y,x) * z) = K(x * y,z). K(x,(x / y) \ z) = K(x,(y \ x) \ z). K(x,(y \ x) * z) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,(y \ x) * z). T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. (x * y) * (K(y,x) * z) = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. x != y * ((z \ (y \ u)) * z) | ((z \ (u / y)) * z) * y = x. ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u != w | K(z,(x * (y * z)) \ u) = w. K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). (x * ((y \ (x \ z)) * y)) \ z != u | K(y,(x * y) \ z) = u. K(x,(y * x) \ z) = K(x,y \ (x \ z)). K(x,(y * z) \ u) = K(x,(y * (z / x)) \ (x \ u)). K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). K((x * y) \ (z \ u),z) = K((x * (y * z)) \ u,z). K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). K((x * (y * z)) \ u,z) != w | K((x * (z * y)) \ u,z) = w. K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). K((x * (y * z)) \ (x * ((z * u) * y)),y) != w | K(L(u,y * z,x),y) = w. K(L(x,y * z,u),y) = K((u * z) \ (y \ (u * ((z * x) * y))),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). x != K(y,L(T(z,y),u,w)) | K(y,L(z,u,w)) = x. K(x,L(y,x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). R(x,y,K(x,z)) = x. x != y * (z * K(y,u)) | T(y,u) * T(z,K(y,u)) = x. T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). (x * (y * K(x,z))) * x = (x * y) * T(x,z). K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). 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)). K(x,(x \ y) \ (x \ z)) = K(x,y \ z). K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. K(x,(y / x) \ z) = K(x,y \ (z * x)). K(x,y \ z) = K(x,(x * y) \ (z * x)). K(x,(x * y) \ (z * x)) = K(x,y \ z). K(x,y) = K(x,z \ (((x \ z) * y) * x)). K(x,y \ (((x \ y) * z) * x)) = K(x,z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. x != K(y,z) | K((y \ 1) \ 1,z) = x. K((x \ 1) \ 1,(y * (z / x)) \ u) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). x != K(y,(y \ z) \ (y \ u)) | K(y,z \ u) = x. K(x,y \ ((x \ y) * z)) = L(K(x,x \ z),z,x \ y). L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). K((x * (y / x)) \ z,y) != u | K(y \ z,y) = u. K(x \ (x * y),x) = K(K(z \ x,z) * y,x). K(x,y) = K(K(z \ y,z) * x,y). K(K(x \ y,x) * z,y) = K(z,y). (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). K(x \ y,x) * T(z,y) = T(K(x \ y,x) * z,y). K(x,y) * T(z,x * y) = T(K(y \ (x * y),y) * z,x * y). T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). K(x,y) * T(z,x * y) = T(K(x,y) * z,x * y). T(x,y * z) * K(z,y) = T(x * K(z,y),y * z). (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). K(x,y \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). x != K(y,z \ (y \ (z * (u * y)))) | K(y,L(u,y,z)) = x. K(x,L(y,x,z)) = L(K(x,y),T(z,y * x),y * x). L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). L(K(x,y),z,y * x) = K(x,L(y,x,((y * x) * z) / (y * x))). K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). x * (y * z) = (z * y) * T(x * K(y,z),z * y). (x * y) * T(z * K(y,x),x * y) = z * (y * x). x * y != (z * u) * T(w * K(u,z),z * u) | (w * (u * z)) / y = x. (x * (y * z)) / (z * y) = x * K(y,z). x / T(y,z) = ((x / y) * (z * y)) / (y * z). ((x / y) * (z * y)) / (y * z) = x / T(y,z). x / (y * z) = (x / (z * y)) * K(z,y). (x / (y * z)) * K(y,z) = x / (z * y). (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). (x / y) * K(z,z \ y) = x / ((z \ y) * z). (x / y) * K(y / z,z) = x / (z * (y / z)). K(x / (y * z),y) = K(x / (z * y),y). K(x / (y * z),z) = K(x / (z * y),z). K(x,y / (x * z)) = K(x,y / (z * x)). K(x,y / (z * x)) = K(x,y / (x * z)). K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. T(x,y / (z * x)) = T(x,y / (x * z)). K(x,y / (x * (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * (y * (y \ z)))). K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). K(x,((y * x) * z) / (x * z)) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). L(K(x,y),z,y * x) = K(x,R(y,x,z)). R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). K(x,R(y,z,u)) * ((y * z) * u) != w | (y * (K(x,y) * z)) * u = w. (x * (K(y,x) * y)) * z = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. (K(x,y) * z) * T(y * x,z) = (x * y) * z. (K(x,y) * z) * T(y * x,z) != u | (y * x) * (K(x,y) * z) = u. (x * y) * (K(y,x) * z) = (y * x) * z. L(x,K(y,z),z * y) = x. x * (K(y \ x,y) * z) = ((y \ x) * y) * z. x * y != (z * u) * K(u,w) | x \ (z * T(u,w)) = y. (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). (x * y) \ z = K(y,x) * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ z. 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(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). x != K(L(y,z,u),w \ L(K(y,v5),v6,v7)) | K(L(y,z,u),w \ 1) = x. K(L(x,y,z),(x \ u) \ 1) = K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). K(L(x,y,z),u \ x) = K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). K(x,(y * z) \ (x \ u)) = K(x,(y * (x * z)) \ u). K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). K(x,(y * (x * z)) \ u) != w | L(K(x,z \ (x \ (y \ u))),y \ u,y) = w. L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). K(x,(y * (x \ 1)) \ z) != u | K(x,((x \ 1) * y) \ z) = u. K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). K(x,y \ (x \ z)) = K(x,(y / (x \ 1)) \ z). K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). L(K(x,y \ (x \ (z \ u))),z \ u,z) != w | K(x,(z * y) \ (x \ u)) = w. K(x,(y * z) \ (x \ u)) = K(x,(y * (z / (x \ 1))) \ u). K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) != w | K(x,(y * z) \ u) = w. K(x,(y * z) \ u) = K(x,(y * ((x \ 1) * z)) \ (x \ u)). K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). K(x,((x \ 1) * y) \ (x \ z)) != u | K(x,L(y,x \ 1,x) \ z) = u. K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). K(x,(y * (x \ z)) \ u) = K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u). K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) != w | K(x,(y * z) \ (u * x)) = w. K(x,(y * z) \ (u * x)) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). K(x,((x \ y) * z) \ u) = K(x,((z * K(x \ y,z)) * y) \ (u * x)). K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u). K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). K((x * (y \ 1)) \ (x * z),y) != u | L(K(y * z,y),z,x) = u. L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). K((x * (y \ 1)) \ z,y) != u | L(K(y * (x \ z),y),x \ z,x) = u. L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). x != K(L(y,z,u),z * y) | 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). K(x,y \ ((z \ y) * x)) != u | K(x,T(z \ x,y)) = u. K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). K(x,T(y \ x,z)) = K(x,z \ (y \ (x * z))). K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). K(L(x,y,z),L(K(u,x),w,v5) * v6) != v7 | K(L(x,y,z),v6) = v7. K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). x != ((y / z) * z) * u | y * u = x. x * K(x / y,z) = T(x / y,z) * T(y,K(x / y,z)). T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). 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)). K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) != v5 | K(x,(u * (y * (z / x))) \ w) = v5. K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). K(x,(y * (z * (u / x))) \ (z * (x \ u))) != w | K(x,(z * (u / x)) \ (y \ (z * (u / x)))) = w. K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. 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))). K(x * L(y,z,u),y) = K(L(y,z,u) * x,y). K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). K(x,y) = K(K(L(y,z,u),w) * x,y). K(K(L(x,y,z),u) * w,x) = K(w,x). K(x * L(y,z,u),y) = K(x * T(L(y,z,u),w),y). K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). K(x * K(y,x),z) = K(x,T(z,K(L(x,u,w),v5) * y)). K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). K(x,T(y,z)) = K(x,T(y,K(L(x,u,w),v5) * z)). K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. R(x,y,K(T(x,z),u)) = x. R(x,y,z) = R(R(x,y,z),u,K(x,w)). R(R(x,y,z),u,K(x,w)) = R(x,y,z). T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u). (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). L(x,y,z) * (u * K(x,w)) = (L(x,y,z) * u) * K(x,w). (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). R(x,y,z) * (u * K(x,w)) = (R(x,y,z) * u) * K(x,w). (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). L(K(x,y),z,L(x,u,w)) = K(x,y). K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). K(L(x,y,L(x,z,u)),w) = K(x,w). K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. K(x,T(y,z)) = K(x,T(y,L(x,u,w) * z)). K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y,L(x,z,u) * (u * z))) != w | K(x,T(y,u * (z * x))) = w. K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). K(x,T(y,z * (u * x))) != w | K(x,T(y,z * (x * u))) = w. K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,z * (u / x))). K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). K(x,T(y \ 1,z * (u / x))) != w | K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = w. K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)). K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). K(x,T((y / z) \ 1,z)) != u | K(x,(z \ y) \ 1) = u. K(x,((y * z) \ u) \ 1) = K(x,u \ ((y * (x \ z)) * x)). K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). 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). K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. L(K(x,x \ y),y,x \ 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 \ (x \ z)) = u. K(x,y \ (x \ z)) = K(x,x \ (y \ z)). a(x,y,K(z,z \ y)) = 1. a(x,y,K(z \ y,z)) = 1. L(K(x \ y,x),y,z) = K(x \ y,x). K(x \ (y \ (x * z)),y) = K(y \ z,y). K(x \ (y \ z),y) = K(y \ (x \ z),y). (x * y) * K(z \ y,z) = x * ((z \ y) * z). (x * K(y \ z,y)) / ((y \ z) * y) = x / z. R(x,y,K(z \ y,z)) = x. R(x,y * z,K(z,y)) = x. R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. R(x,y,T(z,y)) = R(x,y,z). x * (y * z) = (x * (z * y)) * K(y,z). (x * (y * z)) * K(z,y) = x * (z * y). K(x,L(y,x,z)) = K(x,y). (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). x != K(y,z) | (u * y) \ (u * T(y,z)) = x. (x * y) \ (x * T(y,z)) = K(y,L(z,y,u)). K(x,L(y,x,z)) = (u * x) \ (u * T(x,y)). K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. K(L(x,y,z),y) = K(x,y). K(x,L(y,x,((y * x) * z) / (y * x))) != u | L(K(x,y),z,y * x) = u. L(K(x,y),z,y * x) = K(x,y). x * K(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = x * K(x,y). L(K(x,y),z,y * x) != u | K(x,R(y,x,z)) = u. K(x,R(y,x,z)) = K(x,y). K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). (x * y) * (K(y,x) * z) = K(y,x) * ((x * y) * z). (x * y) * (K(y,x) * z) != u | (y * x) * z = u. (x * y) * z = K(x,y) * ((y * x) * z). K(x,y) * ((y * x) * z) = (x * y) * z. x != (y * K(z,u)) * (K(u,z) * w) | y * L(w,K(u,z),y * K(z,u)) = x. x * L(y,K(z,u),x * K(u,z)) = K(x,K(u,z)) * ((K(u,z) * x) * (K(z,u) * y)). K(x,K(y,z)) * ((K(y,z) * x) * (K(z,y) * u)) = x * L(u,K(z,y),x * K(y,z)). K(x \ y,x) * (y * z) = ((x \ y) * x) * z. K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) = (R(x,z,R(x,u,w)) * y) * v5. K(x,K(y,z)) * (K(y,z) * ((x * K(z,y)) * u)) = x * L(u,K(z,y),x * K(y,z)). x \ (K(y,z) * (K(x,K(y,z)) * ((x * K(z,y)) * u))) = L(u,K(z,y),x * K(y,z)). T(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = T(x,y). L(x,y,z) * T(y,x) = y * L(x,y,z). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). (x * T(y,z)) \ (x * (T(y,z) * z)) = L(z,y,x). L(x,T(y,x),z) = L(x,y,z). L(x,x \ y,z) = L(x,y / x,z). L(x,y / x,z) = L(x,x \ y,z). K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). ((x * y) * 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). 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). L(K(x * y,y),x,z) = K(y * x,y). K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). K(x \ y,z) = K(z * ((x * z) \ y),z). K(x * ((y * x) \ z),x) = K(y \ z,x). K((x \ y) \ z,z) = K(z * (y \ x),z). K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. K((x \ y) \ z,x) = K(x * (y \ z),x). 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). L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). K(x * (y \ z),x) = K((y / x) \ z,x). K((x / y) \ z,y) = K(y * (x \ z),y). K(x \ y,y) = K(y * ((z * x) \ z),y). K(x * ((y * z) \ y),x) = K(z \ x,x). K(L(x,y,z) \ u,u) = K(u * ((z * (y * x)) \ (z * y)),u). K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). K(x * (y \ z),L(x,u,w)) = K(y \ (z * x),L(x,u,w)). K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). K(x \ (y * z),L(z,u,w)) != v5 | K((y \ x) \ z,L(z,u,w)) = v5. K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). K(x,(y * z) \ (u * x)) != w | K(x,(y * (x \ z)) \ u) = w. K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. K(x,(y \ z) \ x) = K(x,x * (z \ y)). K(x,y \ ((x \ z) * x)) != u | K(x,y \ z) = u. K(x,y \ z) = K(x,x * (y \ (x \ z))). K(x,x * (y \ (x \ z))) = K(x,y \ z). K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. K(x,y \ (x * z)) = K(x,x * (y \ z)). K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. K(x,y \ x) = K(x,x * ((z * y) \ z)). K(x,x * ((y * z) \ y)) = K(x,z \ x). K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) != v7 | K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = v7. K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). K(L(x,y,z),x * (u \ w)) = K(L(x,y,z),u \ (w * x)). K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) != v7 | K(L(x,y,z),u \ x) = v7. K(L(x,y,z),u \ x) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). K(L(x,y,z),x * ((u * w) \ v5)) = K(L(x,y,z),(u * (x \ w)) \ v5). K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). K(x,L(y,x,z)) != u | K(x,y) = u. L(K(x,y),z,y * x) != u | K(x,y) = u. x != K(y,y \ (z \ 1)) | z * (y * ((z \ 1) / y)) = x. x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). K(x,(y * (x \ z)) \ (x \ u)) != 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,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). L(K(x,(y * z) \ u),w * x,v5) = K(L(x,w,v5),x \ ((y * (x \ z)) \ u)). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). T(x,(y * z) \ (x \ u)) = T(x,(y * (x * z)) \ u). T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). T(x,(y * (x * z)) \ u) != w | T(x,(y * (z * x)) \ u) = w. T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). 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)). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). T(x,(y * x) \ z) = T(x,T(y,x) \ (x \ z)). T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). T(x,y \ (x \ z)) = T(x,(y * x) \ z). T(x,(y * x) \ z) = T(x,y \ (x \ z)). T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). T(x,L(y,x,z)) != u | T(x,y) = u. T(x,x \ y) = T(x,z \ (x \ (z * y))). T(x,y \ (x \ (y * z))) = T(x,x \ z). T(x,y \ (x \ z)) = T(x,x \ (y \ z)). L(T(x,x \ y),z,u) = T(L(x,z,u),L(x,z,u) \ y). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) != v5 | K(L(x,y,z),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). K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) != v5 | K(L(x,y,z),(u * (1 / x)) \ w) = v5. K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)). K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). K(x,(y * (z / x)) \ u) != w | K(x,x * ((y * z) \ u)) = w. K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (1 / u)) \ w) | K(y,(z * (u \ 1)) \ w) = x. K(L(x,y,z),(u * (x \ 1)) \ w) = K(L(x,y,z),L(x,y,z) * (u \ w)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). x != K(L(y,z,u),(w * (y \ v5)) \ v6) | K(L(y,z,u),y * ((w * v5) \ v6)) = x. K(L(x,y,z),x * ((u * 1) \ w)) = K(L(x,y,z),L(x,y,z) * (u \ w)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))) != v7 | K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = v7. K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). x != K(L(y,z,u),y * (w \ L(K(y,v5),v6,v7))) | K(L(y,z,u),w \ y) = x. K(L(x,y,z),u \ x) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). (x * K(L(y,z,u),w \ y)) \ x = K(w \ L(y,z,u),L(y,z,u)). K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. K(x \ y,L(y,z,u)) = K(x \ L(y,z,u),L(y,z,u)). K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). L(R(x,y,x),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). R(x,y,L(x,z,u)) = R(x,y,x). K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. x * R(y,z,L(y,u,w)) = x * R(y,z,y). K(R(x,y,L(x,z,u)),w) = K(x,w). (x * T(y,z)) \ (x * R(y,z,y)) = K(z * L(y,u,w),y). K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). x != (y * T(z,u)) \ (y * R(z,u,z)) | K(z * u,z) = x. K(x * y,x) = K(y * L(x,z,u),x). K(x * L(y,z,u),y) = K(y * x,y). K((x \ 1) * L(y,z,u),y) != w | K(x \ L(y,z,u),y) = w. K(x \ L(y,z,u),y) = K(y * (x \ 1),y). 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). 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 * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). K(x \ (y * (z * u)),u) != w | K(x \ (y * (u * z)),u) = w. K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). K(x \ (y * (z * x)),x) = K(y * z,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(x,L(y,z,u)) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). L(K(x,y),z,u) = K(x,L(y,z,u)). K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,K(y,L(z,u,w))) = K(x,L(K(z,y),u,w)). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). L(K(x \ y,z),y,y \ 1) != u | K(((y \ 1) * x) \ 1,z) = u. K(((x \ 1) * y) \ 1,z) = K(y \ x,L(z,x,x \ 1)). K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,L(u,w,v5))). K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). x != T(y,z \ (y * u)) | T(y,z \ (u * y)) = 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) \ z) != u | T(x,(y / x) \ z) = u. T(x,(y / x) \ z) = T(x,y \ (x * z)). T(x,(y / x) \ z) = T(x,y \ (z * x)). K(x,y) * K(z,x) = (x * z) \ (z * T(x,y)). (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). x != 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)). K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). x != K(y * (z \ u),y) | K(z \ (u * y),y) = x. K(x \ (y * z),z) = K((x / z) \ y,z). K((x / y) \ z,y) = K(x \ (z * y),y). K(x * L(y \ 1,y,z),x) = K(y \ x,x). x * K(x,x * (y \ z)) = T(x,(y * (x \ 1)) \ z). T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). T(x,x * (y \ z)) = T(x,(y * (x \ 1)) \ z). T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). T(x,y \ (x \ z)) != u | T(x,(x * y) \ z) = u. T(x,(x * y) \ z) = T(x,x \ (y \ z)). T(x,(y * z) \ y) != u | T(x,z \ 1) = u. T(x,y \ 1) = T(x,x \ (((x \ z) * y) \ z)). T(x,x \ (((x \ y) * z) \ y)) = T(x,z \ 1). K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u. K((x * y) \ z,x) = K(x \ (y \ z),x). K((x \ y) \ (x \ z),x) != u | K(y \ z,x) = u. K(x \ y,z) = K(z \ ((z \ x) \ y),z). K(x \ ((x \ y) \ z),x) = K(y \ z,x). K((x * y) \ x,z) != u | K(y \ 1,z) = u. K(x \ 1,y) = K(y \ (((y \ z) * x) \ z),y). K(x \ (((x \ y) * z) \ y),x) = K(z \ 1,x). K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. R(K(x \ y,x),y,z) = K(x \ y,x). K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). K(1 / x,y * x) = K(1 / x,y / (1 / x)). K(1 / x,y / (1 / x)) = K(1 / x,y * x). K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). x * ((y * x) \ z) = T(x,y) * ((x * y) \ z). T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). K(x \ y,x) * z = ((x \ y) * x) * (y \ z). ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). L(x,K(y \ z,y),z) = x. L(x,K(y,y \ z),z) = x. L(K(x \ y,x) * z,K(x,x \ y),y) != u | (x * (y / x)) \ (y * z) = u. (x * (y / x)) \ (y * z) = K(x \ y,x) * z. (x * (y / x)) \ z = K(x \ y,x) * (y \ z). K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. x * ((y * (x / y)) \ z) = ((y \ x) * y) * (x \ z). ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). ((x \ y) * x) * (y \ z) != u | K(x \ y,x) * z = u. K(x \ y,x) * z = y * ((x * (y / x)) \ z). x * ((y * (x / y)) \ z) = K(y \ x,y) * z. x * y != ((z \ u) * z) * (u \ w) | x \ (K(z \ u,z) * w) = y. x \ (K(y \ x,y) * z) = (y * (x / y)) \ z. x \ (L(y,y \ x,y) * z) = (y * (x / y)) \ (T(y,y * (y \ x)) * z). (x * (y / x)) \ (T(x,x * (x \ y)) * z) = y \ (L(x,x \ y,x) * z). (x * (y / x)) \ (T(x,y) * z) = y \ (L(x,x \ y,x) * z). x * y != K(z,u) * (K(u,z) * (x * w)) | w = y. x = (y * (z / y)) \ (K(y,y \ z) * (z * x)). (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. L(x,y,K(z,z \ y)) = x. L(x,y * z,K(z,y)) = x. L(L(x,y,z),z * y,K(u,z)) != w | L(x,y,z * K(u,z)) = w. L(x,y,z * K(y,z)) = L(x,y,z). L(x,y,z * K(y,z)) != u | (y * z) \ (z * (T(y,z) * x)) = u. (x * y) \ (y * (T(x,y) * z)) = L(z,x,y). L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x,y,z / y) = L(x,y,y \ z). (x * (T(y,x) * z)) / L(z,y,x) = y * x. K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). L(x,y,x) \ z = T(z / L(x,y,x),x). T(x / L(y,z,y),y) = L(y,z,y) \ x. L(x,y,x) * T(z,x) = z * L(x,y,x). T(x,T(y / z,y)) = T(x,z \ y). T(x,y) = T(x,R(y,z,y)). T(x,R(y,z,y)) = T(x,y). x * (y * K(T(x,z),u)) != (x * y) * w | w = K(T(x,z),u). (x * y) * w != x * (y * K(T(x,z),u)) | w = K(T(x,z),u). (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. x \ y = T(y / x,R(x,z,x)). T(x / y,R(y,z,y)) = y \ x. R(x,y,x) * T(z,x) = z * R(x,y,x). T(x,T(y,y \ z)) = T(x,T(y,z)). T(x,(y * z) / y) = T(x,y / (y / z)). T(x,(y \ z) \ z) = T(x,T(y,z)). T(x,R(T(y,z),u,y)) = T(x,T(y,z)). R(x,K(y,z),T(u,K(y,z))) != w | R(x,T(K(y,z),u),u) = w. R(x,T(K(y,z),u),u) = R(x,K(y,z),u). R(1 / x,x,T(y,x)) != z | T(y,x) / (y * x) = z. T(x,y) / (x * y) = R(1 / y,y,x). R(x,y,y \ z) = R(x,y,z / y). R(x,y,z / y) = R(x,y,y \ z). R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). K(R(x,y,L(T(x,z),u,w)),v5) = K(T(x,z),T(v5,z)). K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). T(x,T(x,y) / z) = T(x,z \ T(x,y)). T(x \ 1,T(y,x)) != z | T(x \ 1,y) = z. T((x \ y) \ 1,x) = T((x \ y) \ 1,T(x,y)). T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. T(K(x,y \ z),y) = T(K(x,y \ z),T(y,z)). T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). ((x \ y) \ y) \ z = T(z / ((x \ y) \ y),T(x,y)). T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. K(x,T(y,T(z,u))) = K(x,T(y,u \ (z \ u))). K(x,T(y,z \ (u \ z))) = K(x,T(y,T(u,z))). R(1 / x,x,x \ y) \ (y / x) = x * (y / x). K((K(x,y) * z) * u,x) = K(z * u,x). K(K(R(x,y,z),u) * w,x) = K(w,x). K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). T(x,y * K(L(x,z,u),w)) = T(x,y). K(x,K(y,R(x,z,u)) * w) = K(x,w). K(L(x,K(y,z),u),y) != w | K(x,y) = w. K(x,K(y,y * x)) = a(K(z,u),u,w). a(K(x,y),y,z) = K(u,K(w,w * u)). K(x,y) != z | K(x,(y \ 1) \ 1) = z. (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). T(x,y) * a(x,z,L(x,u,w)) = K(x,y) * R(x,z,L(x,u,w)). K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). a(x,y,L(x,z,u)) \ 1 = K(y,x) * K(x,y * L(x,z,u)). K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). (x * K(y,z)) * (y * K(u,y)) != w | x * (T(y,z) * K(u,y)) = w. (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). x * R(y,z,L(y,u,w)) != v5 | x * R(y,z,y) = v5. (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). (x / y) * R(y,z,y) = x * a(y,z,y). (x * a(y,z,y)) / R(y,z,y) = x / y. x != (1 / y) * R(y,z,y) | a(y,z,y) = x. a(x,y,x) = R(x,y,x) / x. R(x,y,x) / x = a(x,y,x). x * y != (x / z) * R(z,u,z) | a(z,u,L(z,w,v5)) = y. a(x,y,L(x,z,u)) = a(x,y,x). x * R(y,z,y) = (x * y) * a(y,z,y). (x * y) * a(y,z,y) = x * R(y,z,y). (x * a(y,z,y)) \ (x * R(y,z,y)) = y. ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,x) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). x != (y * L(z,u,w)) * R(T(z,y),v5,v6) | (R(z,v5,v6) * y) * L(z,u,w) = x. (R(x,y,x) * (x \ z)) * L(x,u,w) = (z * L(x,u,w)) * a(T(x,x \ z),y,T(x,x \ z)). (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). x != y * R(z,y,z) | T(z * y,z) = x. T(x * y,x) = (y * x) * a(x,y,x). (x * y) * a(y,x,y) = T(y * x,y). (x * y) \ (x * R(y,z,y)) = a(y,z,y). K(x,y) * z != (K(x,y) * u) * x | u * x = z. x * a(x,y,x) = R(x,y,x). (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),y * z,x). (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = (a(y,z,y) \ 1) \ K(x * y,a(y,z,y)). (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. x \ R(x,y,x) = a(x,y,x). x \ R(x,y,x) != z | z = a(x,y,x). x \ R(x,y,x) != z | a(x,y,x) = z. R(x / y,y,a(y,z,y)) = (x * a(y,z,y)) / R(y,z,y). (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). (x * a(y,z,y)) / R(y,z,y) != u | x / y = u. x / y = R(x / y,y,a(y,z,y)). R(x / y,y,a(y,z,y)) = x / y. x = R((x * y) / y,y,a(y,z,y)). R((x * y) / y,y,a(y,z,y)) = x. R(x,y,a(y,z,y)) = x. (x * a(y,z,y)) \ ((x * y) * a(y,z,y)) = L(T(y,a(y,z,y)),a(y,z,y),R(x,y,a(y,z,y))). L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). x != (y * a(z,u,z)) \ (y * R(z,u,z)) | z = x. x = L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))). L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. x \ R(x,y,x) != z | L(x,y,x) \ x = z. L(x,y,x) \ x = a(x,y,x). x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. K(x,y) * K(x * y,x) = a(x,y,x). x \ R(x,y * K(x,z),x) != u | x \ R(x,y,x) = u. x \ R(x,y,x) = a(x,y * K(x,z),x). a(x,y * K(x,z),x) = x \ R(x,y,x). a(x,y,x) * K(x,x * y) = K(x,y). K(x * y,x) * K(x,y) = a(x,y,x). K(x,x * y) * a(x,y,x) = K(x,y). K(x,y) * a(x,x \ y,x) = K(x,x \ y). a(x,y,x) * K(y,x) = K(x * y,x). x != K(y * z,y) | K(z * y,y) = x. K(x * y,y) = a(y,x,y) * K(x,y). a(x,y,x) * K(y,x) = K(y * x,x). (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). a(x,x \ y,x) * K(x,y) = K(x,x \ y). K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). K(x,y) * K(L(x,z,u) * y,x) = a(T(x,y),y,L(T(x,y),z,u)). a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). x != K(y,z) * K(L(y,u,w) * z,y) | L(y,z,L(y,u,w)) \ y = x. L(x,y,L(x,z,u)) \ x = a(T(x,y),y,L(T(x,y),z,u)). a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. T(x,y) \ (x * z) != u | K(y,x) * z = u. K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. K(x,y) = K(R(x,z,L(T(x,u),w,v5)),y). K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). (K(x,y) / y) \ 1 = T(y,R(x,z,L(T(x,u),w,v5))). T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. T(x,y) = T(x,R(y,z,L(T(y,u),w,v5))). T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). R(T(x,y),z,L(x,u,w)) = K(x,y) * R(x,z,L(x,u,w)). K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). x * y != K(z,u) * R(z,w,L(z,v5,v6)) | x \ R(T(z,u),w,L(z,v5,v6)) = y. T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). K(x,T(x * y,z)) = K(x,T(x * y,z * y)). K(x,T(x * y,z * y)) = K(x,T(x * y,z)). x != K(y,T(y * z,u)) | K(y,T(z * y,u)) = x. K(x,T(y * x,z)) = K(x,T(x * y,z * y)). K(x,T(x * y,z * y)) = K(x,T(y * x,z)). x != K(y,K(z,u \ 1)) | K(y,K(z,u)) = x. K(x,K(y,z)) = K(x,K(y,z \ (y \ 1))). K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). T(T(x * K(y * L(x,z,u),x),w),y) != v5 | R(T(x,w),y,L(x,z,u)) = v5. R(T(x,y),z,L(x,u,w)) = R(T(x,y),z,L(T(x,y),u,w)). R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). T(x,y) \ R(T(x,y),z,L(x,u,w)) != v5 | a(x,z,L(x,u,w)) = v5. a(x,y,L(x,z,u)) = a(T(x,w),y,L(T(x,w),z,u)). a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). a(T(x,y),y,L(T(x,y),z,u)) != 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)). a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). x != K(y * L(z,u,w),z) | K(z * y,z) = x. K(x * y,x) = K(L(x,z,u) * y,x). K(L(x,y,z) * u,x) = K(x * u,x). K(x,y) = K(y * (L(y,z,u) \ x),y). K(x * (L(x,y,z) \ u),x) = K(u,x). 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,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). K((x \ y) \ T(y,x),z) != u | K(x,z) = u. K(x,y \ L(L(T(x,x \ z),z,x),u,w)) = K((x \ z) \ T(z,x),y \ L((x \ z) \ T(z,x),u,w)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). x != K((y \ z) \ T(z,y),u) | K(y,u) = x. K(x,y \ L(T(x,x \ z),u,w)) = K((x \ z) \ T(z,x),y \ L((x \ z) \ T(z,x),u,w)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). x != K(y,z \ L(T(y,u),w,v5)) | K(y,z \ L(y,w,v5)) = x. K(x,y \ L(x,z,u)) = K((x \ w) \ T(w,x),y \ L((x \ w) \ T(w,x),z,u)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). K(x,K(L(x,y,z),u) * w) = K(x,w). K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). K(x \ (y * K(z,u)),T(z,w)) != v5 | K(x \ y,T(z,w)) = v5. K(x \ (y * z),T(y,u)) = K(x \ (z * T(y,w)),T(y,u)). K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). K(x \ (y * T(z,u)),T(z,y)) != w | K((y * T(z,u)) / x,z) = w. K((x * T(y,z)) / u,y) = K(u \ (y * x),T(y,x)). K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). x != K(y,K(z,u \ w)) | K(y,K(z,w \ u)) = x. K(x,K(y,R(z,u,w) \ z)) = K(x,K(y,R(z,u,w) * (z \ y))). K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,R(z,u,w) \ z)). T(x,y \ z) = T(x,x \ ((x \ y) \ z)). T(x,x \ ((x \ y) \ z)) = T(x,y \ z). T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u)) = T(x,L(x * (y \ z),x \ 1,y) \ u). T(x,L(x * (y \ z),x \ 1,y) \ u) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u)). x != T(y,y \ (((y \ z) * u) \ z)) | T(y,u \ 1) = x. T(x,((y * (x \ 1)) \ z) \ 1) = T(x,L(x * (y \ z),x \ 1,y) \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). x != T(y,(z \ u) \ 1) | T(y,u \ z) = x. T(x,y \ (z * (x \ 1))) = T(x,L(x * (z \ y),x \ 1,z) \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). K(x \ y,x \ z) = K(z \ (y * (x \ z)),x \ z). K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). K(x \ ((y \ x) * z),z) != u | K(y \ z,T(z,x)) = u. K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). K(x \ (y \ z),z / y) = K(y \ (x \ z),y \ z). K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). x * y != K(z \ (u \ w),z \ w) | x \ K(u \ (z \ w),w / z) = y. (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. K(x \ y,x \ (z \ y)) = K(x \ y,(z * x) \ y). K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). K(x,T(y / (x * (z * u)),z * u)) != w | K(T(x,z * u),y / ((z * T(x,z * u)) * u)) = w. K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). (x * (((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 * ((x \ z) / y)) = z * K(y,x \ (y \ z)). x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). x * y != (x * z) * (u * (((x * z) \ x) / u)) | K(u,z \ (u \ 1)) = y. K(x,y \ (x \ 1)) = K(x,(z * y) \ (x \ z)). K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). (x * K(y,z \ (y \ 1))) \ x = K((u * z) \ (y \ u),y). K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. K(x \ (y \ 1),y) = K((z * x) \ (y \ z),y). K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). K(x \ (y \ z),y) = K((z \ x) \ (y \ 1),y). K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). K(x \ 1,y) != z | K(L(x,y \ 1,u) \ 1,y) = z. K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). T(x,y \ (x \ z)) = T(x,(z \ y) \ (x \ 1)). T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). T(x,(y * (1 / x)) \ z) = T(x,R(y,x \ 1,x) \ (x * z)). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). x != T(y,(z * (1 / u)) \ w) | T(y,(z * (u \ 1)) \ w) = x. T(x,(y * (x \ 1)) \ z) = T(x,R(y,x \ 1,x) \ (x * z)). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). T(x,R(y,x \ 1,x) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). K(x,T(y,z \ (y \ u))) != w | K(x,T(y,z \ u)) = w. K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). x != K(y * z,T(y,u)) | K(z * y,T(y,u)) = x. K(x * y,T(y,z)) = K(y * x,T(y,x \ z)). K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). K(x * y,T(y,z)) = K(x * y,T(y,x * z)). K(x * y,T(y,x * z)) = K(x * y,T(y,z)). x != K(y,1 / (z \ u)) | K(y,u \ z) = x. K(x \ y,z \ (z * x)) = K((x * ((z * x) \ z)) \ ((1 / ((z * x) \ z)) \ y),1 / ((z * x) \ z)). K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). K(x,y / (x \ z)) = K(x,T(z \ (x * y),y)). K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). K(x,T(y,z)) = K(x,T(y,L(z,u,x))). K(x,T(y,L(z,u,x))) = K(x,T(y,z)). K(x,T(y,z \ (x * u))) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). K(x,T(y,T(((z * u) / z) * x,x \ z))) = K(x,T(y,z \ (x * (z * R(u,x,x \ z))))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). x != K(y,T(z,T(u,y \ w))) | K(y,T(z,T(u,w))) = x. K(x,T(y,T(((z * u) / z) * x,z))) = K(x,T(y,z \ (x * (z * R(u,x,x \ z))))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). K(x,R(y,z,u)) = K(L(x,w,y),R(y,z,u)). K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). K(x * y,R(x,z,u)) = K((x \ 1) \ y,R(x,z,u)). K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. K(x \ y,R(x \ 1,z,u)) = K((x \ 1) * y,R(x \ 1,z,u)). K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). K(((x / y) \ 1) * z,T(y / x,x / y)) = K((x / y) \ z,R((x / y) \ 1,x / y,y)). K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). x != K(y,T(z / u,u / z)) | K(y,z / u) = x. K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,R((x / y) \ 1,x / y,y)). K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). K(x,T(y / z,z / y)) != u | K(x,y / z) = u. K((x / y) \ z,y / x) = K(((x / y) \ 1) * z,y / x). K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). x != K((y / z) \ u,z / y) | K((z \ y) \ u,z / y) = x. K((x \ y) \ z,x / y) = K(((y / x) \ 1) * z,x / y). K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). 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),L(u,w,x)). K(R(x,y,z),L(u,w,x)) = K(R(x,y,z),u). K(x,L(y,x * (z / y),u)) != w | K(L(x,z,u),y) = w. K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). K(L(R(x,y,z),x \ u,x),T(w,u)) != v5 | K(R(u / (u / x),y,z),w) = v5. K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) != v6 | K(R(L(x,u,w),y,z),v5 \ L(x,u,w)) = v6. K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). K((x * y) / ((x / z) * y),u) = K(R(z,x / z,y),T(u,x)). K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. K(T(x,y),R(z,u,w)) = K(T(x,z \ y),R(z,u,w)). K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). x != y * K(T(y,z),R(u,w,v5)) | T(y,R((z * u) / z,w,v5)) = x. T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). x != K((y * z) / (u * z),T(w,y)) | R(K(u \ y,w),y,z) = x. R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). R(K(x,y),z,u) = K(R(x,z / x,u),y). K(R(x,y / x,z),u) = R(K(x,u),y,z). K(R(x,y,z),u) = R(K(x,u),y * x,z). R(K(x,y),z * x,u) = K(R(x,z,u),y). K(R(x \ y,x,z),u) = R(K(x \ y,u),y,z). R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). R(K(x \ y,x),y,z) != u | K(x \ y,x) = u. K(x \ y,x) = K(R(x \ y,x,z),x). K(R(x \ y,x,z),x) = K(x \ y,x). K(R(x,y,z),y) = K(y \ (y * x),y). K(x,y) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,y). x != K(y,z) | K(y,R(z,y,u)) = x. K(x,R(y,x,z)) = K(R(x,y,u),y). K(R(x,y,z),y) = K(x,R(y,x,u)). K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). K(x,K(y,z)) = K(x,K(z,L(y,y,u))). K(x,K(y,L(z,z,u))) = K(x,K(z,y)). x * K(R(x,y,z),y) = T(x,R(y,x,u)). T(x,R(y,x,z)) = x * K(R(x,y,u),y). K(x,R(y,x,z)) * R(x,y,u) = T(R(x,y,u),y). x != y * K(R(y,z,y),u) | T(y,u) = x. T(x,y) = T(x,R(y,x,z)). T(x,R(y,x,z)) = T(x,y). T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). x != T(y,z / y) | T(y,y \ z) = x. T(R(x,y,z),R(x,y,z) \ u) = R(T(x,(u * (y * z)) / ((x * y) * z)),y,z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). 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,y),y,z) = K(x,R(y,x,u)) * R(x,y,z). K(x,R(y,x,z)) * R(x,y,u) = R(T(x,y),y,u). x * y != K(z,R(u,z,w)) * R(z,u,v5) | x \ R(T(z,u),u,v5) = y. T(x,R(y,x,z)) \ R(T(x,y),y,u) = x \ R(x,y,u). T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) != w | K(R(x,z,u) * y,x) * K(x,y) = w. K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). x \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). K(R(x,y,z) * u,x) * K(x,u) != w | L(x,u,R(x,y,z)) \ x = w. L(x,y,R(x,z,u)) \ x = x \ R(x,y,R(T(x,y),z,u)). x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. (x * (R(y,z,u) * K(w,y))) / (K(w,y) * R(y,z,u)) != v5 | R(x,K(w,y),L(R(y,z,u),K(w,y),x)) = v5. R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. x = R(x,K(y,z),L(R(z,u,w),K(y,z),x)). R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. R(x,K(y,z),R(z,u,w)) = x. K(x,y \ z) = K(x,((y \ x) \ x) \ z). K(x,((y \ x) \ x) \ z) = K(x,y \ z). T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). ((x \ y) * x) * z = (y * z) * K(z \ (x \ (y * z)),x). (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. L(K(x,y),z,L(y,u,w)) = K(x,y). K(L(x,y,L(z,u,w)),z) = K(x,z). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,L(y,u,w))) = K(x,y). K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). x != K(y,z / (y * (u * z))) | K(y,u \ (y \ 1)) = x. K(x,y \ (x \ 1)) = K(x,z / ((y * z) * x)). K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). K(x,(y * z) / (z * x)) = K(x,R(y / x,x,z)). K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). K(x,y / (z * x)) = K(x,(z / y) \ (x \ 1)). K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). K(x,R(y / x,z,u)) != w | K(x,R(x \ y,z,u)) = w. K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). K(x \ (y \ z),L(y,u,w)) = K((x * y) \ z,L(y,u,w)). K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). T(x,T(R(y,z,y),u)) = T(x,T(y,u)). T(x / y,T(y,x)) != z | y \ x = z. R(x,y,x) \ z = T(z / R(x,y,x),T(x,z)). T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. T(x,T(T(y,z),u)) = T(x,T(T(y,y * z),u)). T(x,T(T(y,y * z),u)) = T(x,T(T(y,z),u)). T(x,T(T(y,z),u * y)) = T(x,T(T(y,u),z)). T(x / R(y,z,u),T(y,x)) != w | T(y,x) \ ((y * x) / R(y,z,u)) = w. T(x,y) \ ((x * y) / R(x,z,x)) = R(x,z,x) \ y. T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). x != (y / z) * R(z,u,z) | y * a(z,u,z) = x. x * a(y,z,y) = R(y,z,y) * (y \ x). R(x,y,x) * (x \ z) = z * a(x,y,x). R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). R(x,y,x) * z = (x * z) * a(x,y,x). (x * y) * a(x,z,x) = R(x,z,x) * y. x * (y * a(x,z,x)) = R(x,z,x) * y. R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). x * y != z * (u * a(z,w,z)) | x \ (R(z,w,z) * u) = y. (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). (x * y) \ (R(x,z,x) * y) = a(x,z,x). x != a(y,z,y) | (u * y) \ (u * R(y,z,y)) = x. (x * y) \ (x * R(y,z,y)) = (y * u) \ (R(y,z,y) * u). (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). (x * y) \ (R(x,z,x) * y) != u | L(a(x,z,x),y,x) = u. L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). x != (y * (y \ z)) \ u | z \ u = x. x \ (y * R(y \ x,z,y \ x)) = L(a(y \ x,z,y \ x),u,y \ x). L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). R(x,y,x) * (T(x,z) \ u) = K(z,x) * ((u / x) * R(x,y,x)). K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. ((x * y) / x) \ (z * y) = T((z / (y * K(x,y))) * y,x / (x / y)). T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). x * (L(x,y,x) \ z) = (z / L(x,y,x)) * x. (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). x * T(y,z) != u | (x * K(y,z)) * y = u. ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). x * (R(x,y,x) \ z) = (z / R(x,y,x)) * L(R(x,y,x),y,R(x,y,x)). (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). T(x,x * (R(x,y,x) \ z)) = T(x,x * (z / R(x,y,x))). T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). x != (y * z) / R(y,u,y) | T(y,z) * (R(y,u,y) \ z) = x. T(x,y) * (R(x,z,x) \ y) = (x * (x * (R(x,z,x) \ y))) / x. (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). T(x,x * (R(x,y,x) \ z)) = T(x,z). T(x,x * (R(x,y,x) \ z)) != u | T(x,x * (z / R(x,y,x))) = u. T(x,x * (y / R(x,z,x))) = T(x,y). T(x,x * y) = T(x,y * R(x,z,x)). T(x,y * R(x,z,x)) = T(x,x * y). x * K(x,x * y) = T(x,y * R(x,z,x)). T(x,y * R(x,z,x)) = x * K(x,x * y). K(x,y * R(x,z,x)) = K(x,x * y). x != K(y,((z / y) * u) / w) | K(y,((y \ z) * u) / w) = x. K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). K(x,y) * L(T(y,x),z,y) = L(y,z,y). K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. L(x,y,x) * K(x,z) = L(T(x,z),y,x). x * y != K(z,u) * L(z,w,z) | x \ L(T(z,u),w,z) = y. (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). x \ L(T(x,y),z,x) = K(x,y) * (x \ L(x,z,x)). K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). 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)). R(x,y,z) \ K(x,u) = (R(x,y,z) \ 1) * K(x,u). (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). a(x,y,x) * x = R(x,y,x). a(x,y,x) \ x = L(x,y,x). R(x,y,T(x,z)) = R(x,y,x). R(x / y,z,y \ x) = R(x / y,z,x / y). R(x / y,z,x / y) = R(x / y,z,y \ x). R(x,y,(x \ z) \ z) = R(x,y,x). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). K(x * y,y) = L(K(x * y,y),x,z). L(K(x * y,y),x,z) = K(x * y,y). R(1 / x,x,y) \ T(y,x) = y * x. x / (y * x) = T(x,y) / (x * y). T(x,y) / (x * y) = x / (y * x). R(1 / x,x,y) * R((T(y,x) / (y * x)) \ 1,z,u) = (T(y,x) * R(T(y,x) \ (y * x),z,u)) / (y * x). (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). (x / (y * x)) \ T(x,y) = x * y. T(x,x \ y) / y = x / ((x \ y) * x). (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). K(x,y * R(x,z,u)) = K(x,R(x,z,u) * y). K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. K(L(x,y,z) \ u,x) = K(x \ u,x). T(x * K(y,x),x * (L(x,z,u) \ y)) = x. K(1 / L(x,y,z),x) = K(1 / x,x). x * y != L(K(z * u,u),z,w) | x \ K(z * u,u) = y. (1 / x) \ K(x * y,y) = x * K(x * y,y). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). a(x,y,x) = L(a((x \ z) \ z,y,(x \ z) \ z),u,(x \ z) \ z). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). a(x,y,x) = a((x \ z) \ z,y,(x \ z) \ z). a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). L(K(x,y),z,T(x,u)) = K(x,y). K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). x != K(y,z \ (T(y,u) \ w)) | K(y,z \ (y \ w)) = x. K(x,y \ (x \ z)) = K(x,(T(x,u) * y) \ z). K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). a(x,y,T(x,z)) = a(x,y * K(x,z),x). a(x,y * K(x,z),x) = a(x,y,T(x,z)). a(x,y * K(x,z),x) != u | x \ R(x,y,x) = u. x \ R(x,y,x) = a(x,y,T(x,z)). a(x,y,T(x,z)) = x \ R(x,y,x). a(x,y,T(x,z)) != u | a(x,y,x) = u. K(x,T(x * (y / z),z)) != u | K(x,T((y / z) * x,y)) = u. K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T((z / u) * ((x * y) / x),u),x)). K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(z * ((y * x) / y),u),y)). K(x,T(T(((y * x) / y) * z,u),y)) != w | K(x,T(T(x * z,u),y)) = w. K(x,T(T(x * y,z),u)) = K(x,T(T(y * ((u * x) / u),z),u)). K(x,T(T(y * ((z * x) / z),u),z)) = K(x,T(T(x * y,u),z)). K(x,T(T((y / z) * ((u * x) / u),z),u)) != w | K((u * x) / u,T((y / z) * ((u * x) / u),y)) = w. K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T(y * (z / u),u),x)). x != K(y \ z,T(T((y \ z) * y,u),w)) | K(y \ z,T(T(z,u),w)) = x. K((x / y) \ z,T(T(z,y),u)) = K((u * ((x / y) \ z)) / u,T((x / y) * ((u * ((x / y) \ z)) / u),x)). K((x * ((y / z) \ u)) / x,T((y / z) * ((x * ((y / z) \ u)) / x),y)) = K((y / z) \ u,T(T(u,z),x)). K((x / y) \ z,T(T((x / y) * ((u * ((x / y) \ z)) / u),x),u)) = K((x / y) \ z,T(T(z,y),u)). K(x,T(T(y * ((z * x) / z),u),z)) != w | K(x,T(T(x * y,u),z)) = w. K((x / y) \ z,T(T(((x / y) \ z) * (x / y),x),u)) = K((x / y) \ z,T(T(z,y),u)). K(x \ y,T(T((x \ y) * x,z),u)) != w | K(x \ y,T(T(y,z),u)) = w. K((x / y) \ z,T(T(z,x),u)) = K((x / y) \ z,T(T(z,y),u)). K((x / y) \ z,T(T(z,y),u)) = K((x / y) \ z,T(T(z,x),u)). ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). K(x,y) * T(x * K(y,x),T(z,u) \ u) = T(x,T(z \ T(u,z),y)). T(x,T(y \ T(z,y),u)) = K(x,u) * T(x * K(u,x),T(y,z) \ z). x != K(y,z) * T(y * K(z,y),u) | T(y,T(u,z)) = x. T(x,T(T(y,z) \ z,u)) = T(x,T(y \ T(z,y),u)). (x * T(y \ T(z,y),u)) / K(T(y \ T(z,y),u),x) = T(x,T(T(y,z) \ z,u)) * T(y \ T(z,y),u). T(x * T(x \ y,z),x) / K(T(x \ T(y,x),z),x) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). T(x * T(x \ y,z),x) / K(T(x \ y,z),x) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). T(x * T(x \ y,z),x) * K(x,T(x \ y,z)) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). T(x * y,x) * K(x,y) != z | R(x,y,x) * y = z. R(x,T(x \ y,z),x) * T(x \ y,z) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = R(x,T(x \ y,z),x) * T(x \ y,z). x != R(y,T(y \ z,u),y) * T(y \ z,u) | T(y * T(z / y,u),y) = x. T(x * T(y / x,z),x) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = T(x * T(y / x,z),x). T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) != u | x * T(T(y,x) / x,z) = u. x * T(T(y,x) / x,z) = T(x * T(y / x,z),x). T(x,x * T(T(x,y) \ y,z)) = T(x,T(x * T(y / x,z),x)). T(x,T(x * T(y / x,z),x)) = T(x,x * T(T(x,y) \ y,z)). T(x,x * T(y / x,z)) = T(x,x * T(T(x,y) \ y,z)). T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(y / x,z)). x != T(y,y * T(z / y,u)) | T(y,y * T(y \ z,u)) = x. T(x,x * T(x \ y,z)) = T(x,x * T(T(x,y) \ y,z)). T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(x \ y,z)). T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = L(y,T(x / T(y,x),z),y) * T(x / T(y,x),z). L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = T(y / T(x,y),z) * T(x,x * T(x \ y,z)). L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) != u | x * T(x \ y,z) = u. x * T(x \ y,z) = T(y / T(x,y),z) * T(x,x * T(x \ y,z)). T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = y * T(y \ x,z). K(x * y,z) * ((z * (L(y \ 1,y,x) \ x)) / z) = T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)). T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * (L(y \ 1,y,x) \ x)) / z). K(((x * (y * x)) / x) / y,z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). K(L(x,y,x),z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,y * x)) / z). T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,x * y)) / z). T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). T(L(x,y,x),T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). K(L(x,y,x),z) * T((z * x) / z,x * y) = T(L(x,y,x),T(y,z)). L(T(x,T(y,z)),y,x) = K(L(x,y,x),z) * T((z * x) / z,x * y). K(L(x,y,x),z) * T((z * x) / z,x * y) = L(T(x,T(y,z)),y,x). K(x,y) * T((y * x) / y,x * z) = L(T(x,T(z,y)),z,x). L(T(x,T(y,z)),y,x) = K(x,z) * T((z * x) / z,x * y). x != K(y,z) * T((z * y) / z,u) | T(y,T(u,z)) = x. T(x,T(x * y,z)) = L(T(x,T(y,z)),y,x). L(T(x,T(y,z)),y,x) = T(x,T(x * y,z)). L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z)). L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z * y)). L(T(x,T(T(y,z),u)),T(y,u),x) != w | T(x,T(x * T(y,u),z * y)) = w. T(x,T(x * T(y,z),u * y)) = T(x,T(x * T(y,z),u)). x * y != T(z,T(z * T(u,w),v5 * u)) | x \ T(z,T(z * T(u,w),v5)) = y. x \ T(x,T(x * T(y,z),u)) = K(x,T(x * T(y,z),u * y)). K(x,T(x * T(y,z),u * y)) = x \ T(x,T(x * T(y,z),u)). K(x,T(x * T(y,z),u)) = K(x,T(x * T(y,z),u * y)). K(x,T(x * T(y,z),u * y)) = K(x,T(x * T(y,z),u)). K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) != w | K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = w. K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)). K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). K(x \ y,T((x \ y) * x,z)) != u | K(x \ y,T(y,z)) = u. K(T(x,y) \ z,T(z,u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T(z,u)). K(T(x,y) \ z,T(z,u * T(x,z))) = K(T(x,y) \ z,T(z,u)). K(T(x,y) \ z,T(z,u * x)) = K(T(x,y) \ z,T(z,u)). K(x \ y,T(z,x)) != u | K(y / x,z) = u. K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). K(T(x,y),(x \ z) \ u) != w | K(T(x,y),z \ (x * u)) = w. K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). K(T(x,y),y \ z) != u | K(x,z / y) = u. K(x,(x * y) / z) = K(x,y / (x \ z)). K(x,(y / z) \ x) = K(x,z / (x \ y)). K(x,y / (x \ z)) = K(x,(z / y) \ x). K(x,(x * y) / z) != u | K(x,(y * x) / z) = u. K(x,(y * x) / z) = K(x,y / (x \ z)). K(x,y / z) = K(x,(x \ y) / (x \ z)). K(x,(x \ y) / (x \ z)) = K(x,y / z). K(x,y / (x \ z)) != u | K(x,T(z \ (x * y),y)) = u. K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. K(x,y / z) = K(x,((x * z) / y) \ x). K(x,((x * y) / z) \ x) = K(x,z / y). K(x,T(y \ (x * z),u)) != w | K(x,T((z \ y) \ x,u)) = w. K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). x * K(y,T((z / u) \ y,x)) = K(y,T(z \ (y * u),u)) * x. K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). K(x,T(y \ x,z)) = K(x,((z * y) / z) \ x). K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,z \ y)). K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). K(x,y \ x) = K(x,(y \ (x * z)) / z). K(x,(y \ (x * z)) / z) = K(x,y \ x). K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). T(x,y / (x \ z)) = T(x,(z / y) \ x). K(x,(y * x) / z) != u | K(x,(y * T(x,w)) / z) = u. K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. K(x,(x \ y) / (z / x)) = K(x,y / z). K(x,(x \ y) / z) = K(x,y / (z * x)). x * K(x,y / (z * x)) = T(x,(x \ y) / z). (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). K(x / (y * z),z) = K((z \ x) / y,z). K((x \ y) / z,x) = K(y / (z * x),x). T(x,y / (z * x)) = T(x,(x \ y) / z). T(x,(x \ y) / z) = T(x,y / (z * x)). x != T(y,z / (u * y)) | T(y,z / (y * u)) = x. T(x,y / (x * z)) = T(x,(x \ y) / z). T(x,(x \ y) / z) = T(x,y / (x * z)). T(x,y / z) = T(x,(x * y) / (x * z)). T(x,(x * y) / (x * z)) = T(x,y / z). T(x,(x * y) / z) = T(x,y / (x \ z)). T(x,(x * y) / z) != u | T(x,(y * x) / z) = u. T(x,(y * x) / z) = T(x,y / (x \ z)). x != T(y,z / (y \ u)) | T(y,(u / z) \ y) = x. T(x,(y / z) \ x) = T(x,(z * x) / y). T(x,(y * x) / z) = T(x,(z / y) \ x). K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),T(y * z,z) / T(y,z)). K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). K(R(x,y,z),u * K(w * u,u)) = K(R(T(x,T(w,u)),y,z),R(u,w,u)). K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). x != K(y,z * K(u,z)) | K(T(y,u),z) = x. K(T(R(x,y,z),u * w),w) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). K(R(T(x,y * z),u,w),z) = K(R(T(x,T(y,z)),u,w),z). x != K(R(T(y,T(z,u)),w,v5),u) | K(R(T(y,z),w,v5),u) = x. K(R(T(x,y),z,u),w) = K(R(T(x,y * w),z,u),w). K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). K(R(T(x,y * z),u,w),z) != v5 | K(R(T(x,z * y),u,w),z) = v5. K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). K(R(T(x,y * z),y,z),y) != u | K((y * z) \ ((y * x) * z),y) = u. K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). K(x \ y,T(z,y \ x)) != u | K(x \ y,z) = u. K(x \ y,T(z,x)) = K(y / x,T(z,y \ x)). K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). x != K(y \ z,T(u,y)) | K(z / y,u) = x. K(x / y,z) = K(x / y,T(z,x \ y)). K(x / y,T(z,x \ y)) = K(x / y,z). (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). K(x,K(y,T(z,u))) * K(x,z) = T(K(x,z),T(y,u)). K(x,T(y,T(z,u))) = K(x,K(z,T(y,u))) * K(x,y). K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). x != K(y,K(z,T(u,w))) | K(y,K(u,T(z,w))) = x. K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). K(x,K(x \ y,z)) != u | K(x,K(y,z)) = u. K(x,K(y,T(z,u))) = K(z,K(x,T(x \ y,u))). K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). K(x,K(y,T(z,u))) = K(x,K(z,T(y,u / x))). K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). K(x,K(y,T(z,u))) = K(y,K(x \ z,T(x,u))). K(x,K(y \ z,T(y,u))) = K(y,K(x,T(z,u))). x != K(y,K(z,T(u,w))) | K(u,K(y,T(y \ z,w))) = x. K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u * x)). T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. T(K(x,y \ (z * x)),y) = T(K(x,y \ (z * x)),T(y,x * z)). T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). T(K(x,y),T(z,x * u)) != w | T(K(x,y),T(z,u)) = w. T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). x != T(K(y,z \ (u * y)),z) | K(y,(z / u) \ y) = x. K(x,(y / z) \ x) = K(x,T(y \ (z * x),T(y,z))). K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). (x / (x / y)) * K(L(y,z,u),y \ x) != w | y * a(u,z * y,K(y \ x,y)) = w. x * a(y,z * x,K(x \ u,x)) = u / T(u / x,T(L(x,z,y),x)). x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(T(y,y),z,u)) = 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)). K(T(x,y),(y * K(z,x)) \ u) != w | K(x,u / (y * K(z,x))) = w. K(x,y / (z * K(u,x))) = K(T(x,z),z \ y). K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). K(x,y / z) = K(x,y / (z * K(u,x))). K(x,y / (z * K(u,x))) = K(x,y / z). K(x,y / (z * T(u,x))) = K(x,y / (z * u)). K(x,y / (z * (K(u,x) / z))) = K(x,y / K(z,z \ K(u,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,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 / ((z * x) * u)) != w | K(x,y / (x * (z * u))) = w. K(x,y / (x * (z * u))) = K(x,y / ((x * z) * u)). K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). K(x / (y * (z * u)),y) = K(x / ((y * z) * u),y). K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. K(x \ (y \ 1),y) = K(z / (y * (x * z)),y). K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). K(x / (y * z),y) != u | K(x / (z * y),y) = u. K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). K(x / (y * z),z) = K((y / x) \ (z \ 1),z). K((x / y) \ (z \ 1),z) = K(y / (x * z),z). K(x,R(y,K(x,z),u)) = K(x,((y * K(x,z)) * u) / u). K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). K(x,y * K(x,z)) = K(x,R(y,K(x,z),u)). K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). x != K(y,z * K(y,u)) | K(y,z) = x. K(x,y) = K(x,R(y,K(x,z),u)). K(x,R(y,K(x,z),u)) = K(x,y). K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). K(x,y / (((z \ 1) \ 1) * u)) != w | K(x,y / (z * u)) = w. K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))) = K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)). K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). K(x,y / ((x \ 1) * T(z,x))) != u | K(T(x,z),((T(x,z) \ 1) * z) \ y) = u. K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(x,((x \ 1) * y) \ z) != u | K(x,y \ (z * x)) = u. K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). K(x,(y * T(x,z)) / u) != w | K(x,y / (x \ u)) = w. K(x,y / (x \ z)) = K(x,y / ((x \ 1) * z)). K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). K((x * K(y,z)) \ u,T(y,x)) != w | K(u / (x * K(y,z)),y) = w. K(x / (y * K(z,u)),z) = K(y \ x,T(z,y)). K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). K(x / y,z) = K(x / (y * K(z,u)),z). K(x / (y * K(z,u)),z) = K(x / y,z). K(x / (K(y,z) * u),y) = K(x / u,y). K(x / y,z) = K(x / (K(u,z) * y),z). K(x / (K(y,z) * u),z) = K(x / u,z). 1 / (x \ K(y / z,x)) = T(x,y / (K(u,x) * z)). T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). x != 1 / (y \ K(z,y)) | T(y,z) = x. T(x,y / z) = T(x,y / (K(u,x) * z)). T(x,y / (K(z,x) * u)) = T(x,y / u). T(x,R(y,K(z,x),u)) = T(x,((y * K(z,x)) * u) / u). T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). T(x,y * K(z,x)) = T(x,R(y,K(z,x),u)). T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). x != T(y,z * K(u,y)) | T(y,z) = x. T(x,y) = T(x,R(y,K(z,x),u)). T(x,R(y,K(z,x),u)) = T(x,y). x * y != T(z,R(u,K(w,z),v5)) | x \ T(z,u) = y. x \ T(x,y) = K(x,R(y,K(z,x),u)). K(x,R(y,K(z,x),u)) = x \ T(x,y). K(x,y) = K(x,R(y,K(z,x),u)). K(x,R(y,K(z,x),u)) = K(x,y). K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). R(K((x / y) / z,u),x / y,y) != w | K(x / (z * y),u) = w. K(x / (y * z),u) = K(x / ((K(u,w) * y) * z),u). K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). K(x / ((y \ z) * u),y) = K(x / ((T(y,w) \ z) * u),y). K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). ((x * y) / x) / ((x * (y * K(z / (u * w),y))) / x) = K(y,T(z / ((K(y,v5) * u) * w),x)). K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). K(x,T(y / (z * u),w)) = K(x,T(y / ((K(x,v5) * z) * u),w)). K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). K(x,T(y / ((z * T(x,z * u)) * u),z * u)) != w | K(x,(z * u) \ (x \ y)) = w. K(x,(y * z) \ (x \ u)) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). K(x,T(y / ((z * x) * u),z * u)) != w | K(x,((z * x) * u) \ y) = w. K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. K(x,(y * z) \ u) = K(x,((x \ y) * z) \ (x \ u)). K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (x \ ((u * x) * z))). K(x,(y * (z / u)) \ (x \ ((y * x) * z))) = L(K(x,u),z,y * x). K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). (x * (K(y,z) * T(z,u))) / x = T((x * (z * K(T(y,u),z))) / x,u). T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). K(x,T(y,T(z,u))) = K(K(z,x) * T(x,u),T(y,u)). K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). T((x * (y * K(T(z,u),y))) / x,u) != w | K(z,y * K(x,y)) * T(y * K(x,y),u) = w. K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. K(x,T(y,z)) = T(T(y,u) * K(x,y),z) / T(T(y,u),z). T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). K(x,y) * T(y,x * y) != z | L(y,x,y) = z. L(T(x,y),z,T(x,y)) = T(T(x,z * T(x,y)) * K(z,x),y). T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. L(x,y,T(x,z)) = T(x,y * T(x,z)) * K(y,x). T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). T(x,x * y) * K(y,x) = L(x,y,T(x,z)). L(x,y,T(x,z)) = T(x,x * y) * K(y,x). x != T(y,y * z) * K(z,y) | L(y,z,y) = x. L(x,y,x) = L(x,y,T(x,z)). L(x,y,T(x,z)) = L(x,y,x). T(L(x,y,x),z) = L(T(x,z),y,T(x,u)). L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). L(T(x,y),z,x) = L(T(x,y),z,T(x,u)). L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). L(T(x,y),z,x) = L(T(x,y),T(z,x),x). L(T(x,y),T(z,x),x) = L(T(x,y),z,x). K(x,L(T(y,z),u,y)) = K(x,T(y,z)). K(L(T(x,y),z,x),u) = K(T(x,y),u). ((x / L(T(y,z),u,y)) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. L(K(x,T(y,z)),u,y) = K(x,T(y,z)). K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). K(x \ (y * z),T(y,u)) = K((y \ x) \ z,T(y,u)). K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). K(x / (y \ z),y) = K(z \ (y * x),T(y,x)). K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). K(x \ (y * z),T(y,z)) != u | K((z * T(y,w)) / x,y) = u. K((x * T(y,z)) / u,y) = K(x / (y \ u),y). K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. K((x * y) / z,x) = K(y / (x \ z),x). K(x / T(y,z \ 1),z) != u | K(x / y,z) = u. K((x * y) / z,x) = K(y / (x \ T(z,x \ 1)),x). K(x / (y \ T(z,y \ 1)),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 / (y \ T(z,y \ 1)),y). K(x / (y \ T(z,y \ 1)),y) = K(x / (y \ z),y). R(x,y,K(z,T(x,u))) = x. R(x,y,K(z,x)) = x. L(x,y,z) * (u * K(w,T(x,v5))) = (L(x,y,z) * u) * K(w,T(x,v5)). (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) \ z)). K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. K(x * y,T(x,z)) = K(x * y,T(x,z * y)). K(x * y,T(x,z * y)) = K(x * y,T(x,z)). K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). K(x,T(y \ x,z)) = K(x,T(y \ x,z * y)). K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z / y)) != u | K(x,T(y \ x,y \ z)) = u. K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). K(x,T(y \ x,y \ z)) != u | K(x,(z / (z / y)) \ x) = u. K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). K(x,((x * y) / z) \ x) != u | K(x,z / y) = u. K(x,((x * y) / z) / y) = K(x,T(z \ x,x * y)). K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). K(x,T(y \ x,z)) = K(x,((x * z) / y) / z). K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) != v5 | K((((L(y,z,u) \ x) \ w) \ w) \ w,y) = v5. K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). K((L(x,y,z) * u) / w,x) = K((((L(x,y,z) \ w) \ u) \ u) \ u,x). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). T(x,y) * (z * K(u,x)) = (T(x,y) * z) * K(u,x). (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). L(K(x,y),z,T(y,u)) = K(x,y). K(L(x,y,T(z,u)),z) = K(x,z). K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). (T(x,y) * z) * L(K(u,x),w,v5) = T(x,y) * (z * L(K(u,x),w,v5)). x != K(y \ (T(z,u) \ w),z) | K(y \ (z \ w),z) = x. K(x \ (y \ z),y) = K((T(y,u) * x) \ z,y). K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). K(x,K(y,z \ (x \ u))) = K((T(x,w) * z) \ u,K(x,y)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). K((T(x,y) * z) \ u,T(x,z)) != w | K(u / (T(x,y) * z),x) = w. K(x / (T(y,z) * u),y) = K((T(y,z) \ x) / u,y). K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). K(T(x * K(x * y,x),z * K(y * x,z)),u) != w | K((x * K(x * y,x)) * K(x,z),u) = w. K((x * K(x * y,x)) * K(x,z),u) = K(T(x,z * K(y * x,z)),T(u,x * y)). K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). x != K(y,z) * T(y,u) | K(y,u) * T(y,z) = x. K(x,y) * T(x,z) = T(T(x,y),T(z,y)). T(T(x,y),T(z,y)) = K(x,y) * T(x,z). K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). T(T(x,y),T(z,y)) != K(x,y) * u | T(x,z) = u. 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,y)) = T(x,z / y). T(x,T(y,z)) = T(x,(z * y) / z). T(x,(y * z) / y) = T(x,T(z,y)). T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). T(x,T(y,z)) = T(x,y * K(z,y)). T(x,y * K(z,y)) = T(x,T(y,z)). R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). x * y != R(T(z,u),w,R(T(z,u),v5,v6)) | x \ R(T(z,u),T(w,z),R(T(z,u),v5,v6)) = y. T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) != w | a(R(x,z,u),y,x) = w. a(R(x,y,z),u,x) = a(T(x,u),T(u,x),R(T(x,u),y,z)). a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). T(x * L(L(y,x,y),z,u),y * K(x,y)) != w | T(x,y) * L(y,z,u) = w. T(x,y) * L(y,z,u) = T(x * L(L(y,x,y),z,u),T(y,x)). T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). R(T(x,y),K(x,z),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). R(R(T(x,y),K(x,z),u),w,v5) * (K(x,z) * u) = (K(x,z) * u) * R((K(x,z) * u) \ (T(T(x,z),T(y,z)) * u),w,v5). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * v5) * R((K(x,w) * v5) \ (T(T(x,w),T(y,w)) * v5),z,u). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(x,z),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 != v6 | R(T(x,y),z,u) * (K(x,w) * v5) = v6. R(T(x,y),z,u) * (K(x,w) * v5) = (K(x,w) * R(T(x,y),z,u)) * v5. (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). R(K(x,y / z),y,z \ 1) != u | K(x,y * (z \ 1)) = u. K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). R(K(x,y),R(x,z,u),w) = K(x,y). x != K(y,R(T(y,z),u,w) / v5) | K(y,v5 \ R(T(y,z),u,w)) = x. K(x,y \ R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) * (y \ 1)). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). x != K(y,z / (z / u)) | K(T(y,z),u) = x. K(T(x,y),z) = K(T(x,z \ y),z). K(T(x,y \ z),y) = K(T(x,z),y). K(T(x / ((y \ 1) * z),y \ z),y) != u | K(((y \ 1) * z) \ x,y) = u. K(((x \ 1) * y) \ z,x) = K(T(z / ((x \ 1) * y),y),x). K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). K(T(x,(y \ 1) \ (y \ z)),y \ 1) != u | K(T(x,z),y \ 1) = u. K(T(x,y),z \ 1) = K(T(x,z \ y),z \ 1). K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). K(x / ((T(y,z) \ 1) * z),y) = K(((T(y,z) \ 1) * z) \ x,T(y,z)). K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). x != K(y / ((T(z,u) \ w) * v5),z) | K(y / ((z \ w) * v5),z) = x. K(x / ((y \ 1) * z),y) = K(((T(y,z) \ 1) * z) \ x,T(y,z)). K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). K(x \ y,T(z,x * K(y,x))) = K(y / x,z). K(x \ y,T(z,x * K(y,x))) != u | K(x \ y,T(z,(x \ y) \ T(y,x))) = u. K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. K(x \ y,T(z,T(y,x))) = K(y / x,z). K(T(x,x * y) * y,z) != u | K(x * y,T(z,x)) = u. K(x * y,T(z,x)) = K(x * y,T(z,T(x,y))). K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). K(x,y / ((x \ 1) * z)) != u | K(x,y / (x \ z)) = u. K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). x != K(T(y,y \ 1),z) | K(y,z) = x. K(x,R(y,x \ 1,z)) = K(x,(((x \ 1) * y) * z) / (x \ z)). K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). x != K(y,R(z \ u,z,w)) | R(K(y,z \ u),u,w) = x. R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). x != K(y,(z / (u * z)) \ w) | K(y,R(u \ 1,u,z) \ w) = x. K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). R(K(x,x * y),y,z) = K(x,R(1 / y,y,z) \ x). K(x,R(1 / y,y,z) \ x) = R(K(x,x * y),y,z). x * R(K(x,x * y),y,z) = T(x,R(y \ 1,y,z) \ x). T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). a(x,y,R(x,z,u)) * T(K(y,x),w) = K(y * R(x,z,u),x) * K(y,K(x,w)). K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. K(T(x,y) \ 1,z) = K(x \ K(x,y),z). K(T(x,y) \ 1,z) = K(((y * x) / y) \ 1,z). K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). x != K(T(y,z \ 1) \ 1,u) | K(T(y,z) \ 1,u) = x. K(T(x * y,x) \ 1,z) = K(L(y / (x \ 1),x \ 1,x) \ 1,z). K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). K(K(T(x * y,x) \ 1,z) \ 1,u) = K(u,K(y / (x \ 1),L(z,x \ 1,x))). K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). x != K(K(y,z),u) | K(y,K(z,u)) = x. K(x,K(T(y * z,y) \ 1,u)) = K(u,K(z / (y \ 1),L(x,y \ 1,y))). K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). x != K(y,K(z \ 1,u)) | K(y,K(u,z)) = x. K(x,K(y,T(z * u,z))) = K(y,K(u / (z \ 1),L(x,z \ 1,z))). K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ 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). K(x,T(K(y \ z,y),u)) = K(x,T((z \ 1) * ((y \ z) * y),u)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). x != K(y,K(z \ u,T(z,w))) | K(z,K(y,T(u,w))) = x. K(x,K(y,T(z,u))) = K(y,T((z \ 1) * ((x \ z) * x),u)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(z,K(x,T(y,u))). T(K(x,y \ 1),z) = K(x,((z * y) / z) \ 1). K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). K(x,x * y) * K(y,x) != z | x \ L(x,y,x) = z. x \ L(x,y,x) = K(y,x) * K(x,y * x). K(x,y) * K(y,x * y) = y \ L(y,x,y). K(x,y) * K(y,x * y) != z | R(y,x,y) \ y = z. R(x,y,x) \ x = x \ L(x,y,x). R(x,y,z) \ x != u | x / R(x,y,z) = u. x / R(x,y,x) = x \ L(x,y,x). x * y != R(z,u,z) \ z | x \ (z \ L(z,u,z)) = y. x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). x != T(y,z) * (R(y,u,w) \ 1) | R(y,u,w) \ T(y,z) = x. R(x,y,x) \ T(x,z) = x \ ((x \ L(x,y,x)) * T(x,z)). x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). x \ L(T(x,y),z,x) = R(x,z,x) \ T(x,y). R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). K(x,y \ K(y,z)) = T(K(x,y \ 1),z). T(K(x,y \ 1),z) = K(x,y \ K(y,z)). x != K(T(y,z \ 1),(1 / z) \ u) | K(y,u / (1 / z)) = x. K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),(1 / y) \ 1),z). T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). K(x,y \ K(y,z)) * z = z * K(x,y \ 1). T(K(T(x,y \ 1),y),z) = K(x,K(1 / y,z) / (1 / y)). K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). K(x,(K(y,z \ 1) / z) \ 1) = T(K(x,z),y). K(x,K(y,z \ 1) \ z) = T(K(x,z),y). K(x,y * K(y \ 1,z)) = T(K(x,y),z). K(x,y * K(1 / y,z)) = T(K(x,y),z). x != K(T(y,z) \ 1,T(y,u)) | K(y \ 1,y) = x. K(x \ 1,x) = K(T(x,y) \ K(z,x),T(x,u)). K(T(x,y) \ K(z,x),T(x,u)) = K(x \ 1,x). K(x,y) * K(y \ 1,y) = (T(y,z) \ K(x,y)) * T(y,z). (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). x != K(y,z) * K(z \ 1,z) | (T(z,y) \ 1) * z = x. (T(x,y) \ 1) * x = (T(x,z) \ K(y,x)) * T(x,z). (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. (T(x,y) \ K(z,x)) * T(x,y) != u | T((T(x,y) \ K(z,x)) * T(x,y),T(x,y)) = u. T((T(x,y) \ K(z,x)) * T(x,y),T(x,y)) = (T(x,z) \ 1) * x. T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. K(x / y,z) = K(T(y,z) \ x,T(z,y)). K(T(x,y) \ z,T(y,x)) = K(z / x,y). T(K(x,y) * z,T(z,K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). x != T(y * z,T(z,y)) | T(y * z,z) = x. T(K(x,y) * z,z) = L(z * K(x,y),K(y,x),z * K(x,y)). L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). K(x,y) * (K(z,x) * (u * K(y,x))) != w | T(K(z,x) * u,K(x,y)) = w. T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). K(x,y) * T(z,K(y,u)) = T(K(x,y) * z,K(y,u)). T(x,K(y,z)) * K(y,u) = T(x * K(y,u),K(y,z)). T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. x != K(y,K(z,u)) * u | T(u,K(y,z)) = x. T(x,K(y,z)) = T(x,K(y,z * T(x,u))). T(x,K(y,z * T(x,u))) = T(x,K(y,z)). T(x,K(y,x * z)) = T(x,K(y,z)). T(x,K(y,z * x)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z,x * y)). T(x,K(y,x * z)) = T(x,K(z,y)). T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. K(x,y \ R(x,z,u)) = K(x,R(x,z,u) * (y \ 1)). K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. (x * K(y,z)) / (y \ x) != u | T(y,T(z,x / y)) = u. T(x,T(y,z / x)) = T(x,T(y,z)). (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. T(x,T(y \ (z \ y),u)) = T(x,T((z * y) \ y,u)). T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). T(x,T(y,z / x)) != u | T(x,T(y,x \ z)) = u. T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,(x \ y) \ z) = T(x,T(z / (x \ y),y)). T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). T(x * y,T(z,y)) = T(x * y,T(z,x)). T(x * L(L(y,z,u),w,v5),y) = T(x * L(L(y,z,u),w,v5),T(y,x)). T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). T(x * L(L(y,x,y),z,u),T(y,x)) != w | T(x,y) * L(y,z,u) = w. T(x,y) * L(y,z,u) = T(x * L(L(y,x,y),z,u),y). T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). x != T(y,(y \ z) \ u) | T(y,z \ (y * u)) = x. T(x,y \ (x * z)) = T(x,T(z / (x \ y),y)). T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). (K(x,y) * K(x * y,z)) * (y * x) = T(((x * y) * ((y * x) \ 1)) * (y * x),z). T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). T(K(x,y) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). a(x,y,x) * (y * x) = T(x * y,x). x != T(K(y,z \ 1),L(K(z,u),w,v5)) | K(y,z \ 1) = x. K(x,x \ 1) = T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)). T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). T(K(x,y \ 1),L(K(y,z),u,w)) != v5 | K(x,y \ 1) = v5. K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). (1 / x) * K(y,y \ 1) != z | K(y,y \ 1) / x = z. K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). K(x,x \ 1) / (L(K(y,x),z,u) / x) != w | 1 / (x \ L(K(y,x),z,u)) = w. 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). K(x,R(T(y,z),u,w)) = K(x,R(y * K(z,y),u,w)). K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). K(x,R(y * K(z,y),z,u)) != w | ((z * y) * u) / ((z * T(y,x)) * u) = w. ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). ((x * y) * z) / ((x * T(y,T(u,x))) * z) != w | R(K(u,y),x * y,z) = w. R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,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),z * y,u). R(K(x,y),z * y,u) = K(x,R(y,z,u)). R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). K(x * y,T(x,z)) = K(T(x,u) * y,T(x,z)). K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). x != K(y * z,T(y,u * z)) | K(y * z,T(y,u)) = x. K(x * y,T(x,z)) = K(T(x,u) * y,T(x,z * y)). K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). T(T(x,y),z) \ T(T(x,y) * K(x * u,T(x,y)),z) = K(T(x,w) * u,T(T(x,y),z)). K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). x != T(y,z) \ T(y * K(u,y),z) | K(u,T(y,z)) = x. K(x * y,T(T(x,z),u)) = K(T(x,w) * y,T(T(x,z),u)). K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). R(K(x,y),z,u) * w != T(R(K(x,y),z,u),v5) * v5 | T(v5,R(K(x,y),z,u)) = w. T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. T(K(x,y),z) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = T(K(x,y),u). T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u / K(z,y)) = w. T(K(x,y),z / K(u,y)) = T(K(x,y),z). T(K(x,y),z * K(y,u)) = T(K(x,y),z). R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). (((x * y) \ 1) \ 1) \ ((x * y) * (1 / (y * x))) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). x != ((y \ 1) \ 1) \ (y * z) | K(y \ 1,y) * z = x. K((x * y) \ 1,x * y) * (1 / (y * x)) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K((y * x) \ 1,y * x) * (1 / (x * y)). L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K(x \ (y \ 1),y * x) * (1 / (x * y)). x != K(y \ (z \ 1),z * y) * (1 / u) | K(y \ (z \ 1),z * y) / u = x. K(x \ (y \ 1),y * x) / (x * y) = L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x). L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K(x \ (y \ 1),y * x) / (x * y). L(x,K(y,x),z) != u | x = u. (x * y) \ 1 = K(x \ (y \ 1),y * x) / (x * y). K(x \ (y \ 1),y * x) / (x * y) = (x * y) \ 1. K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). K(K(x,y) * (z * x),u) = K(z * T(x,y),T(u,K(x,y))). K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). x != K(K(R(y,z,u),w) * v5,T(y,v6)) | K(v5,T(y,v6)) = x. K(x * R(y,z,u),T(y,w)) = K(x * T(R(y,z,u),v5),T(T(y,w),K(R(y,z,u),v5))). K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). T(T(x * K(y * R(x,z,u),x),w),y) != v5 | R(T(x,w),y,R(x,z,u)) = v5. R(T(x,y),z,R(x,u,w)) = R(T(x,y),z,R(T(x,y),u,w)). R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). T(x,K(y,y * z)) != u | T(x,K(y,z)) = u. T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). K(x,y * K(z \ x,z)) = K(x,K(z \ x,z) * y). K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). (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)). K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. T(x,K(y,x * z)) = T(x,K(y,z * x)). T(x,K(y,z * x)) = T(x,K(y,x * z)). x != T(y,K(z,y * u)) | T(y,K(u,z)) = x. T(x,K(y,z)) = T(x,K(z,y * x)). T(x,K(y,z * x)) = T(x,K(z,y)). T(x,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. T(x,K(y * x,z)) = T(x,K(y,z)). K(x * y,T(y,K(x,z))) = K(x * y,y). K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. T(x,K(y,z)) * K(y,u) != w | T(x * K(y,u),K(y,z)) = w. T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. (K(x,y * z) * z) / T(K(x,y),z * K(x,y * z)) = (z * K(x,y * z)) / T(T(K(x,y),z * K(x,y * z)),z * K(x,y * z)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). (K(x,y * z) * z) * K(T(y,z),x) = (z * K(x,y * z)) / T(T(K(x,y),z * K(x,y * z)),z * K(x,y * z)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(T(z,x),y). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). x != (K(y,z) * u) * K(w,T(y,v5)) | K(y,z) * (u * K(w,T(y,v5))) = x. K(x,y * z) * (z * K(y,T(x,z))) = (z * K(x,y * z)) / T(T(K(x,y),z * K(x,y * z)),z * K(x,y * z)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. x * (K(y,z * x) * K(z,y)) = K(y,z * x) * (K(z,y) * x). K(x,y * z) * (K(y,x) * z) = z * (K(x,y * z) * K(y,x)). K(x,K(y,z)) * (x \ y) != u | T(x \ y,K(y,z)) = u. T(x \ y,K(y,z)) = T(x,K(y,z)) \ y. T(x,K(y,z)) \ y = T(x \ y,K(y,z)). (R(x,K(y,z),x) \ y) / T(x \ y,K(y,z)) = K(x,x * K(y,z)). R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). x * y != R(K(z,u),w,v5) \ R(T(K(z,u),v6),w,v5) | x \ K(v6,R(K(z,u),w,v5)) = y. R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). x != K(y,L(K(z,u),w,v5)) | K(y,K(u,L(z,w,v5))) = x. K(x,K(y,L(z,u,w))) = K(x,L(K(z,y),u,w) \ 1). K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u * z,w))). K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). K(x,K(y \ (z \ u),L(w,y,z))) != v5 | K(w,K(x,(z * y) \ u)) = v5. K(x,K(y,(z * (u * y)) \ w)) = K(x,K((u * y) \ (z \ w),L(y,u,z))). K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). (1 / x) * K(y,K(x,z)) != u | T(1 / x,K(y,z)) = u. T(1 / x,K(y,z)) = 1 / T(x,K(y,z)). 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). K(x,R(K(y,z),u,w)) = K(R(K(y,x),u,w),z). K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). K(R(K(x,y),z,u),w) != v5 | R(K(x,K(y,w)),z,u) = v5. R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). K(x,K(y,R(z,u,w))) = R(K(x,K(y,z \ 1)),u,w). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). R(K(x,K(y,z)),u,w) != v5 | K(y,R(K(x,z),u,w)) = v5. K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). R(K(x,K(y,z)),u,w) != v5 | K(R(K(x,y),u,w),z) = v5. K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = K(x,K(R(z,w,v5) \ z,R(y,z,u))). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). R(K(x,K(y,z)),u,w) != v5 | K(x,R(K(y,z),u,w)) = v5. K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). x != K(T(y,z),K(y,u)) | 1 = x. 1 = K(x,K(y,R(T(x,z),u,w))). K(x,K(y,R(T(x,z),u,w))) = 1. R(K(x,K(y,z)),u,w) * x = T(x,K(R(y,u,w) \ 1,z)). T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. T(x,R(K(y,z),u,w)) = T(x,K(R(y,u,w) \ 1,z)). T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. T(x,K(y,R(z,u,w))) = T(x,R(K(z,y),u,w)). T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). T(K(x,y) * z,R(K(u,x),w,v5)) != v6 | (R(K(u,x),w,v5) \ 1) * (K(x,y) * (z * R(K(u,x),w,v5))) = v6. (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). K(x,K(y,(z * u) \ ((z * x) * u))) = 1. K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). x * T(K(x \ y,x),z) = T(x,K(y,z)) * K(x \ y,x). T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). x * K(y,z) != z * T(K(y,z),u) | T(z,K(u,y)) = x. T(x,K(y,x \ z)) = T(x,K(z,y)). T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. T(x,K(y,z \ x)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(y,z \ x)). T(x,K(y,z \ x)) = T(x,K(y,z)). T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. T(x,K(y,x / z)) = T(x,K(y,z)). T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. x != K(y,z \ u) * u | u * K(y,u / z) = x. x * K(y,x / z) = T(x,K(y,z)) * K(y,z \ x). T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). x * y != T(x,z) * u | K(x,z) * u = y. K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). K(x,K(y,z)) * u = K(z,w) * (K(x,K(y,z)) * (K(z,w) \ u)). K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). T(x,y * T(z,K(x,u))) = T(x,y * z). K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. ((T(x,K(y,z)) / u) * u) / x = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. x != ((y / z) * z) / u | y / u = x. T(x,K(y,z)) / x = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. x != T(y,z) / y | K(y,z) = x. K(x,K(y,z)) = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). K(x,K(y,z)) = R(K(x,(T(y,z) / u) / (y / u)),y / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) != u | K(x \ y,x) * T(z,y) = u. K(x \ y,x) * T(z,y) = T(z,T(y,x)) * K(x \ y,x). T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). (K(x,y) * (x / z)) * K(x,K(y,z \ x)) = (x / z) * K(x,y). (K(x,L(y,z,u)) * (x / y)) * 1 = (x / y) * K(x,L(y,z,u)). K(x,L(y,z,u)) * (x / y) = (x / y) * K(x,L(y,z,u)). K(x,L(y,z,u)) * (x / y) != w | T(x,L(y,z,u)) / y = w. T(x,L(y,z,u)) / y = (x / y) * K(x,L(y,z,u)). (x / y) * K(x,L(y,z,u)) = T(x,L(y,z,u)) / y. K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). K(x * R(y,z,u),y) * K(x,K(y,w)) != v5 | a(y,x,R(y,z,u)) * T(K(x,y),w) = v5. a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). x * y != T(x,K(z,u)) * K(z,u \ x) | K(z,x / u) = y. K(x,y / z) = K(x,K(y,z)) * K(x,z \ y). K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). K(x,K(y,z)) = K(x,K(K(x,u) * y,z)). K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). K(x,K(y,z)) = K(x,K(K(x,u) \ y,z)). K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). K(x,K(y,z)) = K(K(x,u) * z,K(x,y)). K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). K(x,K(y,z)) = K(K(y,u) * x,K(y,z)). K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). K(x,K(y,z)) = K(y,K(z,K(u,y) * x)). K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). x != K(y,K(z,u)) | K(z,K(u,y)) = x. K(x,K(y,z)) = K(x,K(y,K(u,x) * z)). K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). (K(x,T(y,z)) * u) * (K(y,w) * K(u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). x * y != (z * u) * (y * K(u,y)) | z * T(u,y) = x. K(x,T(y,z)) * T(u,K(y,w)) = K(u,K(y,w)) * (K(x,T(y,z)) * u). K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). K(x,K(y,z)) * (K(u,T(y,w)) * x) != v5 | T(K(u,T(y,w)) * x,K(y,z)) = v5. T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). K(x,T(y,z)) * T(u,K(y,w)) = T(K(x,T(y,z)) * u,K(y,w)). T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). K(x,T(y,z)) * T(u,K(y,w)) = T(K(x,T(y,z)) * u,K(w,y)). K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). x != K(K(y,z) * u,K(y,w)) | K(y,K(u,w)) = x. K(x,K(y,z)) = K(K(u,x) * (K(x,w) * y),K(x,z)). K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). R(x,K(y,z) * u,K(u,K(y,w))) = x. K(x * K(y,z),K(y,u)) = K(x,K(y,u)). R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). R(x,K(y,z),u * K(z,y)) * u != w | (x * K(T(y,u),z)) * (K(z,T(y,u)) * u) = w. (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). (1 / x) \ K(x * y,y) = x * K(y * x,y). (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). x != K(y,T((z \ u) \ 1,w)) | K(y,T(u \ z,w)) = x. K((x \ y) \ z,T(y \ x,u)) = K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)). K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). K(((x \ y) \ 1) * z,T(y \ x,u)) != w | K(z * ((x \ y) \ 1),T(y \ x,u)) = w. K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). x != K(y,T(z \ u,z)) | K(y,u / z) = x. K((x \ y) \ z,x / y) = K(z * ((x \ y) \ 1),T(y \ x,y)). K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). K(x * ((y \ z) \ 1),y / z) != u | K(((y \ z) \ 1) * x,y / z) = u. K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). 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(x,y) * (x \ z),u),w) != v5 | R(K(x,w),K(x,y) * z,u) = v5. 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),K(w,x) * z,u). R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,x) * u),w). R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). R(K(x,y),z,u) = R(K(x,y),z * K(w,x),u). R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. K(x,R(y * K(z,x),u,w)) = R(K(x,y),u * y,w). R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). T(x,K(y,z)) = T(x,K(y,z / x)). T(x,K(y,z / x)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z,y / x)). T(x,K(y,z / x)) = T(x,K(z,y)). T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). K(x,1 / T(1 / y,z)) = T(K(x,y),z). K(x,1 / T(y,z)) = T(K(x,1 / y),z). T(K(x,1 / y),z) = K(x,1 / T(y,z)). x != K(y * (1 / (1 / z)),u) | K(y * z,u) = x. K(x * y,1 / y) = K((1 / (1 / y)) * x,1 / y). K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). K(T(x,1 / y) / y,y) = K(x / y,y). x * K(x * y,1 / y) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). (x * K(y \ z,y)) \ (x * y) = T(y,((u \ y) * u) \ z). T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). T(x,y) != K(z,u) | T(K(z,u),y) = x. T(K(1 / T(x,y),z),y) = K(1 / x,z). R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. K(x,R(y,z,u)) = K(x,R(y * K(w,x),z,u)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). K(x,R(y * K(z,x),u,w)) != v5 | R(K(x,y),(y * K(z,x)) * u,w) = v5. R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). K(x,R(y,z,u)) = K(x,R(y * K(x,w),z,u)). K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). R(K(x,y),(y * K(z,x)) * u,w) != v5 | K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = v5. K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). K(x,R(R(y,K(z,x),u),w,v5)) != v6 | K(x,R(y,w,v5)) = v6. K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). x != K(y,R(z,u,w)) | K(y,R(z * K(v5,y),u,w)) = x. K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(v5,x) * u,w)). K(x,R(y,z,u)) = K(x,R(y,K(x,w) * z,u)). K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(v5,y) * u,w),y). K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. K(R(x,y,z),u) = K(R(x,K(w,u) * y,z),u). K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). K(R(x,y,z),y) = K(R(x,T(y,u),z),y). K(R(x,T(y,z),u),y) = K(R(x,y,u),y). 1 / (x \ K(R(y,z,u),x)) = T(x,R(y,K(w,x) * z,u)). T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). T(x,y) \ T(x * K(R(z,x,u),x),y) = K(R(z,T(x,w),u),T(x,y)). K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). K(R(x,y,z),T(y,u)) = K(R(x,T(y,w),z),T(y,u)). K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). K(R(x,y,z),y) != u | K(x,y) = u. K(x,T(y,z)) = K(R(x,y,u),T(y,z)). K(R(x,y,z),T(y,u)) = K(x,T(y,u)). K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)) = K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)). K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). K(x,R(y * K(z,x),u,w)) = K(x,R(K(z,x) * y,u,w)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). x * y != T(x / z,u) * T(z,K(x,u)) | K(x / z,u) = y. K(x / T(y,x),z) = K(T(x,y) / y,z). K(T(x,y) / y,z) = K(x / T(y,x),z). T(x / T(y,x),z) * T(y,T(x,z)) = x * K(T(x,y) / y,z). R(K(x,T(y / (z / u),w)),y,u) != v5 | K(x,T((y * u) / z,w)) = v5. K(x,T(((y * K(z,x)) * u) / w,v5)) = R(K(x,T((y * K(z,x)) / (w / u),v5)),y,u). R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). K(x,T((y * z) / u,w)) = K(x,T(((y * K(v5,x)) * z) / u,w)). K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). K(x,T(((y * K(z,x)) * u) / w,y * u)) != v5 | K(x,w \ ((y * K(z,x)) * u)) = v5. K(x,y \ ((z * K(u,x)) * w)) = K(x,T((z * w) / y,z * w)). K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * 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,L(y,z,u * K(w,x))) = K(x,((u * K(w,x)) * z) \ (u * (z * y))). K(x,((y * K(z,x)) * u) \ (y * (u * w))) = K(x,L(w,u,y * K(z,x))). R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. (x / y) * z != u * ((x / T(y,x)) * z) | R(K(y,x),y \ x,z) = u. x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. R(K(x,y),K(z,x) * u,w) != v5 | K(R(x,T(x,z) \ u,w),y) = v5. K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). K(R(x,y,z),u) = R(K(x,u),T(x,w) * y,z). R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). K(T(x,y) \ z,T(T(T(x,z),y) * (T(x,y) \ z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). K(T(x,y) \ z,T(z * K(T(x,y),z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z * K(T(x,y),z),u)). x != K(y,T(z * K(u,z),w)) | K(T(y,u),T(z,w)) = x. K(T(T(x,y) \ z,T(x,y)),T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). K(T(x \ y,x),T(y,z)) != u | K(x \ y,T(y,z)) = u. K(T(x,y) \ z,T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z,u)). x != K(y,T(z,u)) | T(z * K(y,z),u) / T(z,u) = x. T(x * K(T(y,z) \ x,x),u) / T(x,u) = K(T(y,z) \ x,T((y \ x) * T(y,x),u)). K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(T(x,y) \ z,z),u) / T(z,u). K(x,a(K(x,y),z,u)) = K(x,(z * u) \ ((K(x,y) * z) * u)). K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). K(x,R(T(K(x,y),z),u,w)) != v5 | 1 = v5. 1 = K(x,a(K(x,y),z,u)). K(x,a(K(x,y),z,u)) = 1. T(x,a(K(x,y),z,u)) = x. T(a(K(x,y),z,u),x) = a(K(x,y),z,u). T(x,y) = T(T(x,y),a(K(x,z),u,w)). T(T(x,y),a(K(x,z),u,w)) = T(x,y). a(K(x,y),z,u) * x = x * a(K(x,y),z,u). a(K(x,y),z,u) * K(x,w) = K(x,w) * a(K(x,y),z,u). (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). x * K(a(K(x,y),z,u),w) = K(a(K(x,y),z,u),w) * x. K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). K(T(x,T(y,z)) \ u,y) = K(x \ u,y). L(x,y,z) * (u * K(w,T(x,u))) = L(K(w,x),u,L(x,y,z)) * (L(x,y,z) * u). L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). K(x,y) * (L(y,z,u) * w) = L(y,z,u) * (K(x,y) * w). L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). L(x,y,z) * T(u,K(x,w)) = K(w,x) * (L(x,y,z) * (u * K(x,w))). K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). K(x,y) * (L(y,z,u) * (w * K(y,x))) != v5 | T(L(y,z,u) * w,K(x,y)) = v5. T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). L(x,y,z) * T(u,K(x,w)) = T(L(x,y,z) * u,K(w,x)). T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). L(x,y,z) * T(u,K(x,w)) = T(L(x,y,z) * u,K(x,w)). x * T(y,K(z,u)) != w | (x * y) * K(z,K(u,y)) = w. (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). x * y != T(x,K(z,u)) | K(u,K(z,x)) = y. K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). K(x,K(y,z)) = K(x,K(y,L(y,u,w) * z)). K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). K(T(x,y),z) * T((y * z) / y,u) = (y * (T(z,u) * K(x,T(z,T(x,w))))) / y. (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). x != K(y,z) * T((u * z) / u,y) | z * K(u,T(z,y)) = x. x * K(y,T(x,T(z,y))) = (y * (T(x,T(z,y)) * K(z,T(x,T(z,u))))) / y. (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). x / y != z * K(y,u) | z * T(y,u) = x. x * T(y,T(x,z)) = T(y,x) * T(x,T(y,z)). T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). T(x,y) * T(y,T(x,z)) != u | x * T(y * K(x,y),T(x,z)) = u. x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). T(x * K(y / z,x),z \ y) = T(x * K(z \ y,x),T(z \ y,y)). T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). T(x * K(y,x),T(y,z)) != u | T(x,K(y,z)) = u. T(x,K(y \ z,z)) = T(x * K(z / y,x),y \ z). T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). x != T(y,K(z \ u,u)) | T(y,K(u,z)) = x. T(x,K(y,z)) = T(x * K(y / z,x),z \ y). T(x * K(y / z,x),z \ y) = T(x,K(y,z)). T(T(x,K(y,z)),y / z) = T(x,z \ y). T(x,y / z) = T(T(x,K(y,z)),z \ y). T(T(x,K(y,z)),z \ y) = T(x,y / z). x != K(y,T(y,z) \ u) | K(y,y \ u) = x. K(x,x \ y) = K(x,y / T(x,z)). K(x,y / T(x,z)) = K(x,x \ y). (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. K(x \ y,y) * (x \ 1) = (x \ 1) * K(y * (x \ 1),y). (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). K(x,y * z) * T(y,z) != T(y,z) * u | K(x,T(y * z,y)) = u. T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). T(x,T(y / (x \ z),z)) != u | T(x,z \ (x * y)) = u. T(x,y \ (x * z)) = T(x,T((y / z) \ x,y)). T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). T(x,T(y \ x,z)) = T(x,z \ (x * (y \ z))). T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). x != K(y \ 1,T(z,u)) | K(u \ (y \ u),z) = x. K(x \ (y \ x),z) = K(T(y,x) \ 1,z). K(T(x,y) \ 1,z) = K(y \ (x \ y),z). K((x * y) \ y,z) = K(y \ (x \ y),z). 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). T(x,y \ (z \ y)) = T(x,(z * y) \ y). T(x,(y * z) \ z) = T(x,z \ (y \ z)). T(x,(y * z) \ z) != u | T(x,T(y,z) \ 1) = u. T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). T(x,T(y,z) \ 1) != u | T(x,T(y \ 1,z)) = u. T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). T(x,y) \ (x * z) != u | x \ (((y * x) / y) * z) = u. x \ (((y * x) / y) * z) = z * K(y,T(x,z)). (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(x * (y / x),z)). (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(y,z)). x != y * K(z,T(u,y)) | K(z,u) * y = x. K(x,y) * z = (x * (y / x)) \ ((T(x,y) * (y / x)) * z). (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = K(x,y) * z. x != K(y,z) * L(K(z,y),u,w) | a(w,u,K(y,z)) = x. a(x,y,K(z,u)) = (z * (u / z)) \ ((T(z,u) * (u / z)) * L(K(u,z),y,x)). (x * (y / x)) \ ((T(x,y) * (y / x)) * L(K(y,x),z,u)) = a(u,z,K(x,y)). (x * (y / x)) \ (T(x,y) * ((y / x) * L(K(y,x),z,u))) = a(u,z,K(x,y)). (x * (y / x)) \ (T(x,y) * z) != u | y \ (L(x,x \ y,x) * z) = u. x \ (L(y,y \ x,y) * ((x / y) * L(K(x,y),z,u))) = a(u,z,K(y,x)). x \ (T(y,x) * ((y \ x) * L(K(x,y),z,u))) = a(u,z,K(y,x)). x * a(y,z,K(u,x)) = T(u,x) * ((u \ x) * L(K(x,u),z,y)). T(x,y) * ((x \ y) * L(K(y,x),z,u)) = y * a(u,z,K(x,y)). T(x,y) * ((x \ y) * K(y,L(x,z,u))) = y * a(u,z,K(x,y)). K(x,y \ ((T(z,x) / u) \ z)) != w | K(x,y \ u) = w. K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). R(x,y,R(x,z,u)) = R(x,K(x,w) * y,R(x,z,u)). R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). K(T(x * K(y \ z,x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). K(x,T(y,z \ u)) = K(x,T(y,T(u \ (x * z),x) \ x)). K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). K(x,T(y,T(z,x) \ u)) != w | K(x,T(y,z \ u)) = w. K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,a(x,z,u))) = K(x,T(y,(z * u) \ ((x * z) * u))). K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). K(x \ 1,T(y,z)) = K(x \ 1,T(y,x \ z)). K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. K(x,y) = K(x,T(y,a(x,z,u))). K(x,T(y,a(x,z,u))) = K(x,y). K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). x * K(x,y) = T(x,T(y,a(x,z,u))). T(x,T(y,a(x,z,u))) = x * K(x,y). T(x,y) = T(x,T(y,a(x,z,u))). T(x,T(y,a(x,z,u))) = T(x,y). (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) != u | K(x,y \ x) = u. K(x,y \ x) = K(x,a(x,z,z \ 1) \ (y \ R(x,z,z \ 1))). K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) != w | K(x,T(y,z \ (x * u))) = w. K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z \ (x \ u))). K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). K(x,y) * z != K(x,T(y,u)) | K(x,K(y,u)) = z. K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). K(x,K(y,(x \ z) \ u)) != w | K(x,K(y,(z / x) \ u)) = w. K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). K(x,K(y,z \ (x \ u))) != w | K((T(x,v5) * z) \ u,K(x,y)) = w. K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). K(x,K(y,L(z,u,K(x,w)))) != v5 | K(y,K(x,z)) = v5. K(x,K(y * z,a(y,z,u))) = K(y * z,K(x,(T(y * z,w) * u) \ L(u,z,y))). K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). K(x,K(y,z \ (y \ u))) != w | K(x,K(y,z \ u)) = w. K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). (T(x,y) * z) * K(u,x) != w | T(x,y) * (z * K(u,x)) = w. T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). a(x,y,z) = a(x,T(y,z),T(z,y)). a(x,T(y,z),T(z,y)) = a(x,y,z). x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). K((x \ y) \ z,y \ x) = K(((x \ y) \ 1) * z,y \ x). K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). x != K((y \ z) \ u,z \ y) | K(u / (y \ z),z \ y) = x. K(x / (y \ z),z \ y) = K(((y \ z) \ 1) * x,z \ y). K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). K((((x * y) \ x) \ 1) * z,y) != u | K(z * (((x * y) \ x) \ 1),y) = u. K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). x != K(y / ((z * u) \ z),u) | K(((z * u) \ z) \ y,u) = x. K(((x * y) \ x) \ z,y) = K(z * (((x * y) \ x) \ 1),y). K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). x * y != T(x * L(z,u,w),x) | L(z * K(z * x,x),u,w) = y. L(x * K(x * y,y),z,u) = L(x,z,u) * K(y * L(x,z,u),y). L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). x * y != T(x * R(z,u,w),x) | R(z * K(x * z,x),u,w) = y. R(x * K(y * x,y),z,u) = R(x,z,u) * K(y * R(x,z,u),y). R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (z * K(z * u,u)))) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). x != (y * (z * u)) \ (y * (z * (u * w))) | L(L(w,u,z),z * u,y) = x. L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). L(K(x * y,y),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). L(K(x * y,x),y,z) != u | K(x * y,x) = u. K(x * L(y,z,u),x) = L(K(y * x,x),z * y,u). L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). L(K(x \ y,y),z,u) = K(y * ((u * (z * x)) \ (u * z)),y). K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). K(x * ((y * (z * u)) \ (y * z)),x) != w | K(L(u,z,y) \ x,x) = w. K(L(x,y,z) \ u,u) = L(K(x \ u,u),y,z). L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). L(K(x,y),z,u) = K(L(x \ y,z,u) \ y,y). K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). 1 / (x \ L(K(y,x),z,u)) = T(x,L(y \ x,z,u) \ x). T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). x != 1 / (y \ L(K(z,y),u,w)) | y * L(K(y,z),u,w) = x. x * L(K(x,y),z,u) = T(x,L(y \ x,z,u) \ x). T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). x \ y != T(z \ y,u) | T(y / z,u) \ y = x. T(x / y,z) \ x = y * K(z,y \ x). x * y != z * K(u,z \ w) | x \ (T(w / z,u) \ w) = y. x \ (T(y / x,z) \ y) = K(z,x \ y). x * (T(y / (x \ 1),z) \ y) = L(K(z,(x \ 1) \ y),x \ 1,x). L(K(x,(y \ 1) \ z),y \ 1,y) = y * (T(z / (y \ 1),x) \ z). K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). K(x,y * z) = y * (T(z / (y \ 1),x) \ z). x * (T(y / (x \ 1),z) \ y) = K(z,x * y). (1 / x) \ (1 / (1 / K(y,(1 / x) * z))) = x * (1 / (1 / (x \ (T(z / ((1 / x) \ 1),y) \ z)))). x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). x * (1 / (1 / K(y,x \ z))) = (1 / x) \ K(y,(x \ 1) * z). (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). (1 / x) \ K(y,z) = x * K(y,x \ ((x \ 1) \ z)). x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). ((1 / x) \ K(y,z)) \ x = K(x \ ((x \ 1) \ z),y). x * (y \ R(y,x,y)) = T(y * x,y) / y. x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(x,y,x). 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). (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). T(x * a(y,x,y),y) = y \ T(y * x,y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = L(L(a(u,z,u),z,y),y * z,x). L(L(a(x,y,x),y,z),z * y,u) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). (T(x,a(y,x,y)) * z) \ ((T(y * x,y) / y) * z) = R(T(a(y,x,y),x * z),T(x,a(y,x,y)),z). R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). R(x * a(y,x,y),z,u) = R(x,z,u) * a(y,R(x,z,u),y). R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). (x * y) \ ((T(z * x,z) / z) * y) = L(a(z,T(x,y),z),T(x,y),y). L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). x != K(y,y \ z) * K(u,z) | K(u,z) * K(y,y \ z) = x. K(x,y) * K(z,z \ y) = (z * (y / z)) / T(y,x). (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). T(x,y) \ T(z * (x / z),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). T(x * (y / x),z) / T(y,z) != u | K(x * K(y,z),(x / y) \ 1) = u. K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). x != T(y,z) \ T(u * (y / u),z) | K(u,u \ T(y,z)) = x. K(x,x \ T(y,z)) = K(x * K(y,z),(x / y) \ 1). K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). (x / T(y,x)) * L(z,K(x,y),y \ x) = K(y,y \ x) * ((y \ x) * (K(x,y) * z)). K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. (x / y) * (K(x,y) * z) = (x / T(y,x)) * L(z,K(x,y),y \ x). (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) != u | L(z,K(x,y),x / y) = u. L(x,K(y,z),y / z) = L(x,K(y,z),z \ y). x \ T(x * y,x) != z | T(x * y,x) / T(x,y) = z. T(x * y,x) / T(x,y) = y * K(x * y,x). x \ T(x * T(y,z),x) != u | T(x \ T(x * y,x),z) = u. T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). x \ T(x * y,x) = y * K(y * x,x). (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). x \ T(x * K(x / y,z),x) = K(x / y,z) * K(K(y \ x,z) * x,x). K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),x). T(x,y) * L(x \ T(z,x),u,w) = T(T(x,y) * L(x \ z,u,w),x). T(x,x * y) * R(x \ T(x * y,x),z,u) != w | T(x * R(y,z,u),x * y) = w. 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(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). T(x,y) * L(x \ T(y,x),z,u) != w | T(x * L(x \ y,z,u),y) = w. 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(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). K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). x != K(y,z) | T(K(y,T(z,u)),u) = x. T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. K(x,K(y,z)) * K(y * z,T(y,x)) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). x != y \ T(y * K(z,u),y) | K(T(y / z,y) \ y,u) = x. K(T(x / (x / y),x) \ x,z) = K(x / y,z) * K(K(y \ x,z) * x,x). K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). x * K(x / T(y,x),z) = T(x * K(x / y,z),x). x * K(T(x,y) / y,z) = T(x * K(x / y,z),x). T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. T(x * L(y,z,u),x) / x = L(T(x * y,x) / x,z,u). (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). (x * y) \ ((T(z * x,z) / T(z,x)) * y) = R(T(K(z * x,z),x * y),T(x,K(z * x,z)),y). R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). R(K(x * y,T(y,z)),T(x,1),z) = (x * z) \ ((x * K(x * y,y)) * z). (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). L(K(x * y,T(x,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. K((x * y) / (x * (z \ 1)),z) = L(K(z * y,T(z,x)),y,x). L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). T(x * K(x * y,y),z) = T(x,z) * K(y * T(x,z),y). T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). (x * y) \ ((x * K(x * z,z)) * y) = L(K(T(x,y) * z,z),T(x,y),y). L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). x != (y * z) \ ((y * K(y * u,u)) * z) | R(K(y * u,T(u,z)),y,z) = x. R(K(x * y,T(y,z)),x,z) = L(K(T(x,z) * y,y),T(x,z),z). L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). L(K(x * y,y),x,z) != u | K(y * x,y) = u. K(x * T(y,z),x) = R(K(y * x,T(x,z)),y,z). R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). x != T(y,K(z,u)) | K(z,K(u,y)) * y = x. K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). R(x,K(y \ 1,z),y) = x. R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. R(x,y,K(y \ 1,z)) = x. x * (y * K(y \ 1,z)) = (x * y) * K(y \ 1,z). (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). R(x,y \ z,K(y / z,u)) = x. L(K(x \ 1,y),x,z) = K(x \ 1,y). x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). a(x,y,K(y \ 1,z)) = 1. a(x,y \ 1,K(y,z)) = 1. L(K(x,y),x \ 1,z) = K(x,y). L(K(x,y \ 1),z,u) != w | K(x,L(y,z,u) \ 1) = w. K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). x / (x / T(y,z)) = T(x / (x / y),z). T(x / y,z) * y = K(u,z) * (y * T(y \ (K(u,z) \ x),z)). K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. x != T(y * K(z,u),z) | z \ (y * T(z,u)) = x. x \ (y * T(x,z)) = T(y,x) * K(x,z). x * K(y,z) != u | (x / y) * T(y,z) = u. (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). x * y != T(z,u) * K(u,w) | x \ T(z * K(u,w),u) = y. x \ T(x * K(y,z),y) = K(x,y) * K(y,z). T(K(x,y) * z,y) / T(z,y) = K(x,y). K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). R(T(x,y),z,x) = R(x,z,x) * K(x,y). R(x,y,x) * K(x,z) = R(T(x,z),y,x). K(x,y) * T(K(y,x) * z,u) = T(z * K(y,x),u) * K(x,y). T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). 1 / (K(x,y) * z) = T(1 / (z * K(x,y)),K(y,x)). T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). x * y != T(z,K(u,w \ z)) | x \ T(z,K(w,u)) = y. (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). K(L(x \ 1,y,z),((u * x) \ u) \ u) = K(L(x \ 1,y,z),u * x). x * K(x,y \ 1) = T(x,L(y,x \ 1,z) \ 1). T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). T(x,y \ 1) = T(x,L(y,x \ 1,z) \ 1). T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). x != T(y,(y * (z \ u)) \ 1) | T(y,u \ (y \ z)) = x. T(x,y \ (x \ z)) = T(x,L(x * (z \ y),x \ 1,u) \ 1). T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). T(x,L(x * (y \ z),x \ 1,y) \ 1) != u | T(x,z \ (y * (x \ 1))) = u. T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). T(x,T(y / (x \ z),u)) = T(x,T(y / (z / x),u)). T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). R(K(x,y),z,u) = (w * R(K(y,x),z,u)) \ w. (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). x / R(K(y,z),u,w) = x * R(K(z,y),u,w). (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. R(K(x,y),z,u) * (w * R(K(y,x),z,u)) = w * K(R(K(y,x),z,u) \ 1,R(K(y,x),z,u) * w). x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). x != R(K(y,z),u,w) * (K(y,v5) * (v6 * R(K(z,y),u,w))) | T(K(y,v5) * v6,K(y,R(z,u,w))) = x. T(K(x,y) * z,K(x,R(u,w,v5))) = (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)). (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. K(x,y) * T(z,K(u,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). K(x,T(y,z)) * u != T(K(x,T(y,z)) * w,K(v5,y)) | T(w,K(y,v5)) = u. T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). T(x,K(y,z \ 1)) != u | T(x,K(z,y)) = u. T(x,K(y,R(z,u,w))) = T(x,K(z,R(y \ 1,u,w))). T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). T(x,K(y,T(z * (u \ 1),u))) = T(x,K(u \ z,R(y,u,u \ 1))). T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). x * y != (z * R(K(u,w),v5,v6)) * R(K(w,u),v5,v6) | z / y = x. x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). x != (y * R(K(z,u),w,v5)) * K(u,v6) | y * (K(u,v6) * R(K(z,u),w,v5)) = x. x * (K(y,z) * R(K(u,y),w,v5)) = x / (K(z,y) * R(K(y,u),w,v5)). x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. ((x / y) \ T(x,z)) \ y = K(z,((x / y) \ 1) \ y). K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). T(x,R(y,z,u)) \ x = K(R(y,z,u),K(y,w) \ x). K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. K(R(x,y,z),u) = K(R(x,y,z),K(x,w) \ u). K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). K(R(x,y,z),u * K(w,x)) != v5 | K(R(w \ (w * x),y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = 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(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),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). K(K(x,y) * z,u) = K(T(z * K(x,y),z),u). K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). x * y != y * K(z,y \ u) | K(z,(y / u) \ 1) = x. K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). K(x * K(y,z),(x / y) \ 1) != u | K(x,x \ T(y,z)) = u. K(x,x \ T(y,z)) = K(K(y,z) * x,x \ y). K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) != w | L(K(u,z),L(u,v5,v6),v7) = w. L(K(x,y),L(x,z,u),w) = K(x,y). K(x,y \ (z * L(x,u,w))) = K(x,(z \ y) \ L(x,u,w)). K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). (x * K(y,z)) * (K(z,y) * L(K(y,z),u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). x != (y * K(z,u)) * (K(u,z) * L(K(z,w),v5,v6)) | y * L(K(z,w),v5,v6) = x. x * L(K(y,z),u,w) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). R(x,K(y,z),R(z,u,w)) != v5 | x = v5. (x / R(y,z,u)) * K(y,w) = x / (K(w,y) * R(y,z,u)). x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). R(x,K(y,z),L(T(z,u),w,v5)) != v6 | x = v6. (x / L(T(y,z),u,w)) * K(y,v5) = x / (K(v5,y) * L(T(y,z),u,w)). x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). x / L(y,z,y) = (x / L(T(y,u),z,y)) * K(y,u). (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. x != (y / L(z,u,z)) * z | z * (L(z,u,z) \ y) = x. x * (L(x,y,x) \ z) = T(x,u) * (L(T(x,u),y,T(x,u)) \ z). T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. x * a(K(y,z),u,u \ 1) = x / a(K(z,y),u,u \ 1). x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. x * a(y,z,K(u,w)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). T(x * y,z) / a(x,y,K(x * y,z)) != u | x * (y * K(x * y,z)) = u. x * (y * K(x * y,z)) = T(x * y,z) * a(x,y,K(z,x * y)). T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). R(x,T(y,z),K(u,y)) != w | x = w. (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). (x * K(y,z)) / T(y,u) != w | (x / T(y,u)) * K(y,z) = w. (x / T(y,z)) * K(y,u) = x / (T(y,z) * K(u,y)). x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). x != (y / T(z,u)) * K(z,w) | (y / z) * (K(z,w) * K(u,z)) = x. (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). (x / y) * a(y,z,y) = x / L(y,z,y). x * a(y,z,y) = (x * y) / L(y,z,y). (x * y) / L(y,z,y) = x * a(y,z,y). (x * a(y,z,y)) \ (x * y) = L(y,z,y). (x / L(y,z,y)) * y = x * a(y,z,y). (x / L(y,z,y)) * y != u | y * (L(y,z,y) \ x) = u. x * (L(x,y,x) \ z) = z * a(x,y,x). x * y = (x * L(y,z,y)) * a(y,z,y). (x * L(y,z,y)) * a(y,z,y) = x * y. x * (L(x,y,x) \ z) != u | T(x,w) * (L(T(x,w),y,x) \ z) = u. T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). x * (L(x,y,z) \ u) != w | L(x,y,z) \ (x * u) = w. L(x,y,x) \ (x * z) = z * a(x,y,x). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). K(x,y) * ((z / y) * R(y,u,y)) != w | R(y,u,y) * (T(y,x) \ z) = w. R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). R(x,y,x) * (T(x,z) \ u) != w | (K(z,x) * u) * a(x,y,x) = w. (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). a(x,y,x) = a(T(x,z),y,T(x,z)). a(T(x,y),z,T(x,y)) = a(x,z,x). a(x,y,x) * K(y,T(x,z)) = K(T(x,z * y) * y,T(x,z * y)). K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. K(x * y,T(x,z)) = a(x,y,x) * K(y,T(x,z)). a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). K(x * y,T(T(x,z),u)) * K((x \ z) \ z,T(y,u)) = a((x \ z) \ z,y,(x \ z) \ z). a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). a((x \ y) \ y,z,(x \ y) \ y) != u | a(x,z,x) = u. a(x,y,x) = K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)). K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. L(x,y,x) * (z * a(x,y,x)) = x * z. L(x,y,x) \ z = (x \ z) * a(x,y,x). (x \ y) * a(x,z,x) = L(x,z,x) \ y. L(x,y,x) * z = x * (z / a(x,y,x)). x * (y / a(x,z,x)) = L(x,z,x) * y. x * y != L(x,z,u) * w | L(x,z,u) * (x \ w) = y. L(x,y,x) * (x \ z) = z / a(x,y,x). x * y != L(z,u,z) * (z \ w) | x \ (w / a(z,u,z)) = y. (x / y) \ (x / a(y,z,y)) = L(y,z,y). a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). x != R(y,z,y) \ T(y,u) | y \ L(T(y,u),z,y) = x. x \ L(T(x,y),z,x) = R((y * x) / y,z,x) \ x. R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). K(x,R(x,y,z) * u) = K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),w) * u))). K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). K(x,R(T(x,y),z,u) * (w \ 1)) != v5 | K(x,w \ R(T(x,y),z,u)) = v5. K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). x != K(y,R(y,z,u) * (w \ 1)) | K(y,w \ R(y,z,u)) = x. K(x,y \ R(x,z,u)) = K(x,y \ R(T(x,w),z,u)). K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). K(x,((x * y) / z) / y) != u | K(x,T(z \ x,y)) = u. K(x,T(y \ x,R(T(x,z),u,w))) = K(x,R(x,u,w) \ ((x * R(T(x,z),u,w)) / y)). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). x != K(y,T(z,R(T(y,u),w,v5))) | K(y,z) = x. K(x,y \ x) = K(x,R(x,z,u) \ ((x * R(T(x,w),z,u)) / y)). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,w \ x). x != K(y,z * R(y,u,y)) | K(y,y * z) = x. K(x,x * y) = K(x,R(x,z,x) * y). K(x,R(x,y,x) * z) = K(x,x * z). K(x,y) != z | K(R(x,u,x),y) = z. K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). x != K(y,z) * T(u,y) | T(K(y,z) * u,y) = x. T(K(x,x * y) * (x * R(y,z,u)),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). x != T(T(y,y * z) * R(z,u,w),y) | T(y * R(z,u,w),y * z) = x. T(x * R(y,z,u),x * y) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). T(K(x,x * y) * (x * L(y,z,u)),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). T(x,x \ T(y,z)) * K(y,z) != u | (x / y) * T(x * (y / x),z) = u. (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),(y * x) / x). T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). T(x * K(y * x,z),y) = (x / (y * x)) * T(x * y,z). (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). (x \ T(x * y,z)) \ y = K(z,(x \ K(z,u)) \ y). K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. x != (y \ T(y * z,u)) \ z | K(u,(y \ 1) \ z) = x. K(x,(y \ 1) \ z) = K(x,(y \ K(x,u)) \ z). K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). x != K(y,((z \ 1) \ 1) \ u) | K(y,z \ u) = x. K(x,y \ z) = K(x,((y \ 1) \ K(x,u)) \ z). K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) != v6 | (R(x,z,R(x,u,w)) * y) * v5 = v6. (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). x * y != R(z,u,z) * K(z,w) | x \ R(T(z,w),u,z) = y. T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). R(T(x,y),z,x) * u = R(x,z,x) * (K(x,y) * u). R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. R(x,y,z) * (K(x,u) * w) != v5 | K(x,u) * (R(x,y,z) * w) = v5. K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). T(x,y) * (L(T(x,z),u,x) \ w) = R(T(x,y),u,x) * (T(x,z) \ w). R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). x * y != T(z,u) * (L(T(z,u),w,z) \ x) | a(z,w,z) = y. a(x,y,x) = T(x,z) \ R(T(x,z),y,x). T(x,y) \ R(T(x,y),z,x) = a(x,z,x). K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(x,x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(x \ (y * (((y \ z) \ 1) \ 1)),u) != w | K(x \ z,u) = w. K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). K((T(x,y) * ((x * y) \ y)) \ (x * y),z) = K(R(x * y,(x * y) \ y,y \ (x * y)),z). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). x != K((y * (z \ u)) \ (y * u),w) | L(K(T(z,u),w),u,y) = x. L(K(T(x * y,x),z),x,y) = K(R(y * x,(y * x) \ x,x \ (y * x)),z). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). K(R(x,x \ y,z),u) != w | R(K(x,u),y,z) = w. R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). x != (y * z) * L(u,z,y) | y * (z * u) = x. x * (y * K(y * x,T(z,y))) = K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). L(T(K(x * y,z) * y,x),u,K(u,w)) = T(x,y) \ (x * (K(y * x,z) * y)). x != T(y,z) \ (y * u) | K(z,y) * u = x. K(x,y) * (K(x * y,z) * x) = L(T(K(y * x,z) * x,y),u,K(u,w)). L(T(K(x * y,z) * y,x),u,K(u,w)) = K(y,x) * (K(y * x,z) * y). K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). K(x,y) * (K(x * y,z) * x) != u | K(x * y,z) * T(x,y) = u. K(x * y,z) * T(x,y) = T(K(y * x,z) * x,y). T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). x * (y * K(y * x,T(z,y))) = (K(x * y,z) * ((x * y) / x)) * x. (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). (K(x * y,z) * y) * T(x,y) != x * u | K(y * x,z) * y = u. R(T(x,y),z,R(x,u,w)) = K(x,y) * R(x,z,R(x,u,w)). K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). x * y != K(z,u) * R(z,w,R(z,v5,v6)) | x \ R(T(z,u),w,R(z,v5,v6)) = y. x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * (x \ R(x,z,R(x,u,w))). K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). K(x,y) * a(x,z,R(x,u,w)) = x \ R(T(x,y),z,R(x,u,w)). x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) != v6 | x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)) = v6. x \ (y \ ((R(x,z,R(x,u,w)) * (x \ y)) * x)) = a(x,K(x,v5) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). K(x,y \ (z * R(x,u,w))) = K(x,(y / R(x,u,w)) \ z). K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). K(x,(y / R(x,z,u)) \ w) != v5 | K(x,(R(x,z,u) \ y) \ w) = v5. K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). K(x,(R(x,y,z) \ u) \ w) != v5 | K(x,u \ (R(x,y,z) * w)) = v5. K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). K(x,y \ ((x * z) * u)) = K(x,y \ ((z * u) * R(x,z,u))). K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) != v5 | x \ (v6 \ ((R(x,z,R(x,u,w)) * (x \ v6)) * x)) = v5. x \ (y \ ((R(x,z,R(x,u,w)) * (x \ y)) * x)) = a(T(x,v5),z,R(x,u,w)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a(x,x \ y,R(x,z,u)) = a(T(x,w),T(x,w) \ y,R(x,z,u)). a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). x != y \ R(y,z,R(y,u,w)) | a(y,z,R(y,u,w)) = x. a(x,y,R(x,z,u)) = a(T(x,w),y,R(x,z,u)). a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). a(x,y,R(x,z,u)) = a(x,T(y,x),R(x,z,u)). a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). a(T(x,y),z,R(x,u,w)) != v5 | a(x,z,R(x,u,w)) = v5. a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. K(x,K(y,z \ (u * x))) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). K(x,K(y,(z / x) \ u)) != w | K(x,K(y,z \ u)) = w. K(x,K(y,z \ u)) = K(x,K(y,z \ (u * x))). K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = T(K(x,y),(z \ (u * x)) \ 1). T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). T(K(x,y),z \ u) = T(K(x,y),(z \ (u * x)) \ 1). T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). T(K(x,y),z \ u) = T(K(x,y),z \ (u / x)). T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). K(L(K(x,y),z,u),w \ v5) = K(L(K(x,y),z,u),w \ (v5 / x)). K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). x != K(L(K(y,z),u,w),v5) | K(z,K(v5,L(y,u,w))) = x. K(x,K(y \ z,L(u,w,v5))) = K(L(K(u,x),w,v5),y \ (z / u)). K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). K(x,K(y \ (z \ (u \ w)),L(z,y,u))) != v5 | K(x,K(z,(u * (y * z)) \ w)) = v5. K(x,K(y,(z * (u * y)) \ w)) = K(x,K(u \ (z \ w),L(y,u,z))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). K(x,K(y,(z * u) \ w)) = K(y,K(x,(z * (u * x)) \ w)). K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). K(x,K(y,(z * (u * x)) \ ((z * x) * u))) != w | K(x,K(y,a(z,x,T(u,x)))) = w. K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). x != K(y,K(z,(u * w) \ ((u * y) * w))) | 1 = x. 1 = K(x,K(y,a(z,x,T(u,x)))). K(x,K(y,a(z,x,T(u,x)))) = 1. K(x,K(y,a(z,x,u))) = 1. a(x,y,z) * 1 = T(a(x,y,z),K(u,y)). T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. a(x,y,z) = T(a(x,y,z),K(u,y)). T(a(x,y,z),K(u,y)) = a(x,y,z). T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). K(x,y) * a(z,x \ y,u) = a(z,x \ y,u) * K(x,y). a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). K(x,L(y,z,z \ x)) = K(x,x \ ((z \ x) * (z * y))). K(x,x \ ((y \ x) * (y * z))) = K(x,L(z,y,y \ x)). x != T(y,T(z / (u / y),w)) | T(y,T(z / (y \ u),w)) = x. T(x,T(y / (x \ z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). K(x,R(T(y,z),y \ u,w)) != v5 | R(K(x,T(y,z)),u,w) = v5. R(K(x,T(y,z * u)),z,u) = K(x,((y \ z) * u) \ (z * u)). K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) != w | K(a(x,z,u),x) = w. K(a(x,y,z),x) = K(a(x,y,z),T(x,u)). K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). x != K(y,T(z \ u,u)) | K(y,u / z) = x. K(x,y / ((z \ 1) * y)) = K(x,T(((z \ 1) * y) \ y,T((z \ 1) * y,z))). K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). x != K(y,z / (u * z)) | K(y,u \ 1) = x. K(x,(y \ 1) \ 1) = K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))). K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). K(x,y) = K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))). K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). K(x,T((y \ 1) * z,y) \ z) = K(x,y). ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. x * K(y,y \ z) != u | (x / (y \ z)) * (z / y) = u. (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). R(x,y,z) * K(u,x) != w | K(u,x) * R(x,y,z) = w. K(x,y) * R(y,z,y) = R(y * K(x,y),z,y). R(x,y,x) * R(K(z,x),u,w) = R(x * K(R(z \ 1,u,w) \ 1,x),y,x). R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). R(x,y,x) * R(K(z,x),u,w) = R(x * R(K(z,x),u,w),y,x). R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T(x,R((y * z) / y,u,w)) != v5 | T(x,R(y / (y / z),u,w)) = v5. T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. T(x,y) * K(z,y \ 1) = T(x * K(z,y \ 1),y). T(x,y \ 1) * K(z,y) = T(x * K(z,(y \ 1) \ 1),y \ 1). T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). T(x,y \ 1) * K(z,y) = T(x * K(z,y),y \ 1). K(x,y) * T(z,x \ 1) = T(K(x,y) * z,x \ 1). K(x,y) * L(T(z,x \ 1),u,w) = T(K(x,y) * L(z,u,w),x \ 1). (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). R(K(x,y),z,x \ 1) = K(x,y). L(x \ 1,y,K(x,z)) = x \ 1. R(K(x,y),(y * K(z,x)) * u,w) != v5 | K(x,R(y,u,w)) = v5. K(x,R(y,z,x \ 1)) = K(x,y). x * K(x,y) = T(x,R(y,z,x \ 1)). T(x,R(y,z,x \ 1)) = x * K(x,y). R(x,y,z \ 1) * K(z,x) = R(x * K(z,x),y,z \ 1). K(x,y) * R(y,z,x \ 1) = R(y * K(x,y),z,x \ 1). x * y != K(z,u) * R(u,w,z \ 1) | x \ R(u * K(z,u),w,z \ 1) = y. x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). x \ ((y * x) * (y \ 1)) = K(y,x) * a(x,y,y \ 1). K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u. K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). K(x,((y * x) * (y \ 1)) \ z) != u | K(x,x \ z) = u. K(x,x \ (x * y)) = K(x,a(x,z,z \ 1) \ y). K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). K(x,a(x,y,y \ 1) \ z) = K(x,z). K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) != u | K(x,z \ x) = u. K(x,y \ x) = K(x,y \ R(x,z,z \ 1)). K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). K(x,y \ R(x,z,z \ 1)) != u | K(x,y \ ((z * x) * (z \ 1))) = u. K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). K(x,((y \ z) * u) \ (z * u)) != w | R(K(x,T(y,z * u)),z,u) = w. R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). T(x,y) = T(x,R(y,z,x \ 1)). T(x,R(y,z,x \ 1)) = T(x,y). T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * T(K(x,y) * z,x \ 1) != u | K(x,y) * (z * (x \ 1)) = u. K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). K(x,K(y,z)) * (x \ L(T(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). x != K(y,K(z,u)) * (y \ w) | T(y,K(z,u)) \ w = x. T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). T(x \ L(x,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). K(x,y) * z != K(x,u) * (w * K(x,y)) | T(K(x,u) * w,K(x,y)) = z. T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)). (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). K(x,y * (z * (K(u,x) * w))) != v5 | K(x,y * (z * w)) = v5. K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * (x * (T(T(x,w),w) \ u)))). K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). x != K(y,z * (u * (w * K(v5,y)))) | K(y,z * (u * w)) = x. K(x,y * (z * u)) = K(x,y * (z * (x * (T(T(x,w),w) \ u)))). K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) != v5 | K(x,y * ((z \ 1) \ K(w,u))) = v5. K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * (((1 / z) * (K(x,u) * z)) * z)). K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). K(x,y * (z * L(K(x,u),w,v5))) != v6 | K(x,y * z) = v6. K(x,y * z) = K(x,y * ((z \ 1) \ K(u,x))). K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). K(x,y * (((z \ 1) \ 1) \ u)) != w | K(x,y * (z \ u)) = w. K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)). K(x,K(y,z)) * T(u,K(y,w)) = T(K(y,K(z,x)) * u,K(y,w)). K(x,K(y,z)) * T(u,K(y,w)) = T(K(x,K(y,z)) * u,K(y,w)). T(x,K(y,z)) * K(u,y) != w | ((1 / (1 / K(y,z))) \ x) * (K(y,z) * K(u,y)) = w. ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). T(x,K(y,z)) * L(K(u,y),w,v5) = T(x * K(L(u \ 1,w,v5) \ 1,y),K(y,z)). T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). T(x * K(y,z),K(u,z)) = (K(u,z) * x) * (K(z,u) * K(y,z)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). x * y != (K(z,u) * w) * (K(v5,u) * K(u,z)) | T(w * K(v5,u),K(z,u)) / y = x. T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) != w | T(K(x,y),z * K(x,u)) = w. T(K(x,y),z * K(x,u)) = T(K(x,y),z). T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). T(K(x,y),z) = T(K(x,y),K(u,x) * z). T(K(x,y),K(z,x) * u) = T(K(x,y),u). T(K(x,y),z) = T(K(x,y),z * K(u,x)). T(K(x,y),z * K(u,x)) = T(K(x,y),z). T(K(x,y),(x \ z) * x) = T(K(x,y),z). T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). L(T(K(x,y),z * u),u,z) = (z * u) / (z * (u * K(y,x))). (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(z * y,x * y)),y,x). L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). L(K(x,T(y * x,z)),y,z) = (z * y) / (z * (x \ T(x * y,x))). (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). K(x,K(y,z)) * u != 1 / ((w * (y \ T(y * z,y))) \ (w * z)) | K(y * z,T(y,x)) = u. K(x * y,T(x,z)) = L(K(y * x,T(x,z)),y,z). L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). x != T(K(y,z),T(z,u) * y) | K(y,z) = x. K(x,y) = T(K(x,y),T(y,z) * T(x,u)). T(K(x,y),T(y,z) * T(x,u)) = K(x,y). 1 / K(x,y) = T(K(y,x),T(y,z) * T(x,u)). T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). K(x,y) = T(K(x,y),T(x,z) * T(y,u)). T(K(x,y),T(x,z) * T(y,u)) = K(x,y). (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). (x * T(y,z)) * K(z,y) != u | x * y = u. T(x,y) * z = K(x,z) * (T(x,y) * T(z,x)). K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. K(x,K(y,z)) * (K(x,x \ y) * u) != w | K(x,T(x \ y,z)) * u = w. K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). T(K(x,y),z * x) != u | T(K(x,y),z) = u. T(K(x,y),x \ z) = T(K(x,y),z). T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). T(K(x,y),z) * T(K(y,u),z) = z \ (K(y,u) * (K(x,y) * z)). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). x / (x / R(K(y,z),u,w)) != v5 | (R(K(y,z),u,w) \ x) \ x = v5. (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. K(x,y) = R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z). R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). R(K(x,y),L(y,z,u),w) = K(x,y). R(K(x / (y / z),u),x,z) != w | K((x * z) / y,u) = w. K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). x != K(L(y,z,u) / w,y) | K(w \ L(y,z,u),y) = x. K((x / y) \ L(z,u,w),z) = K((L(z,u,w) * y) / x,z). K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). K((L(x,y,z) * u) / w,x) != v5 | K((((L(x,y,z) \ w) \ u) \ u) \ u,x) = v5. K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). x != K(y \ L(z,u,w),z) | K(y \ z,z) = x. K((x / y) \ z,z) = K(y / (L(z,u,w) \ x),z). K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). K(R(x,y,z),u) = R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))). R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). T(T(x,y) * z,T(x,z)) != u | R(T(x,y),z,x) * T(z,x) = u. R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). R(T(x,y),z,x) * T(z,x) != u | T(T(T(x,z),y) * T(z,x),T(T(x,z),y)) = u. T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). K(T(T(x,y) * z,x) \ u,T(x,z)) = K((T(T(x,z),y) * T(z,x)) \ u,T(x,z)). K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). x != K(T(y,z) \ u,T(z,w)) | K(y \ u,T(z,w)) = x. K((T(x,y) * z) \ u,T(x,z)) = K((T(T(x,z),y) * T(z,x)) \ u,T(x,z)). K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). x != K((T(y,z) * u) \ w,T(y,u)) | K(w / (T(y,z) * u),y) = x. K(x / (T(y,z) * u),y) = K((T(T(y,u),z) * T(u,y)) \ x,T(y,u)). K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). K((T(x,y) * z) \ u,x) != w | K(z \ (x \ u),x) = w. K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). K(x \ (T(y,z) \ u),T(y,w)) != v5 | K(x \ (y \ u),T(y,w)) = v5. K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. K((x \ y) / z,x) = K(y / (T(x,u) * z),x). K(x / (T(y,z) * u),y) = K((y \ x) / u,y). x != K((y \ z) / u,y) | K(z / (u * y),y) = x. K(x / (y * z),z) = K(x / (T(z,u) * y),z). K(x / (T(y,z) * u),y) = K(x / (u * y),y). K(x / (T(y,z) * u),y) != w | K((T(y,z) \ x) / u,y) = w. K((T(x,y) \ z) / u,x) = K(z / (u * x),x). K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). K(T(x / (x / y),z),u) != w | K(T(y,z),T(u,y \ x)) = w. K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). K(T(x,y),T(z,u)) = K(T(x,y),T(z,x * u)). K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). K(T(x,y * K(z * x,y)),T(u,x * z)) != w | K((x * K(x * z,x)) * K(x,y),u) = w. K((x * K(x * y,x)) * K(x,z),u) = K(T(x,z * K(y * x,z)),T(u,y)). K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). K(T(x,y * K(z * x,y)),u) != w | K(x * K(T(x,z),y),u) = w. K(x * K(T(x,y),z),T(u,y)) = K((x * K(x * y,x)) * K(x,z),u). K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). x != K(y \ 1,y) * K(z,y) | (T(y,z) \ 1) * y = x. (T(x,y) \ 1) * x = T((T(x,y) \ 1) * x,y). T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. T((T(x,y) \ 1) * x,y) != z | y \ T(y * K(x \ 1,x),x) = z. x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). x * ((T(y,x) \ 1) * y) = y \ (x * (1 / (1 / y))). x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * (1 / (1 / y))) \ (y * z),T(z,u)). K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). K(x,y) * T(T(y,x),z) != u | y * K(T(y,x),z) = u. x * K(T(x,y),z) = T(K(y,x) * T(x,z),y). T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). K(x * K(T(x,y),z),T(u,y)) != w | K((x * K(x * y,x)) * K(x,z),u) = w. K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). x != K(K(y,z) * T(z,u),T(w,u)) | K(z,T(w,T(y,u))) = x. K(x,T(y,T(z,u))) = K(K(x * z,x) * T(x,u),T(y,u)). K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). K(x,T(y,T(x * z,u))) != w | K(x,T(y,T(z * x,u))) = w. K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). K(x,x * y) = K(x,T(x * y,T(y,z))). K(x,T(x * y,T(y,z))) = K(x,x * y). K(x,T(y,T(((z * u) / z) * x,z))) != w | K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = w. K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). K(x,T(y,z \ (x * u))) != w | K(x,T(y,z \ u)) = w. K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). K(x,T(y,R(x \ z,x,x \ u))) != w | K(x,T(y,(z * (x \ u)) / u)) = w. K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). K(x,T(y,z)) = K(x,T(y,(z * (x \ u)) / u)). K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). K(x,T(y,z / u)) = K(x,T(y,z / (x \ u))). K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). x * K(x,T(y,z / u)) = T(x,T(y,z / (x \ u))). T(x,T(y,z / u)) = T(x,T(y,z / (x \ u))). T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). T(x,T((y * (x \ 1)) / z,z / (x \ 1))) != u | T(x,(z / (x \ 1)) \ y) = u. T(x,(y / (x \ 1)) \ z) = T(x,T((z * (x \ 1)) / y,y / 1)). T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). T(x,y \ (z * (x \ 1))) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). x != T(y,z \ (u * (y \ 1))) | T(y,z \ (y \ u)) = x. T(x,y \ (x \ z)) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). T(x,(y / (x \ 1)) \ z) != u | T(x,((x \ 1) \ y) \ z) = u. T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). T(x,T(y,x \ 1) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). T(x,(y * (x \ 1)) \ (x \ z)) != u | T(x,R(y,x \ 1,x) \ z) = u. T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). x != T(y,T(z,y \ 1) \ u) | T(y,z \ u) = x. T(x,y \ z) = T(x,R(y,x \ 1,x) \ z). T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). T(x,R(y,x \ 1,x) \ (x * z)) != u | T(x,(y * (x \ 1)) \ z) = u. T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. T(x,x * (y \ z)) = T(x,y \ (x * z)). T(x,y \ (x * z)) = T(x,x * (y \ z)). T(x,y \ (x * (z \ y))) != u | T(x,T(z \ x,y)) = u. T(x,T(y \ x,z)) = T(x,x * (z \ (y \ z))). T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). K(x \ y,T((x \ y) * x,z)) != u | K(x \ y,T(y,T(z,y))) = u. K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). T(K(x,x * T(y,z)),u) = K(x,T(T(x * T(y,z),u),y)). K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). x != K(y,y * z) | K(y,z * y) = x. K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)) = K(T(x,y) \ z,T(z,T(x,z))). K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). K(x,y) * K(x * y,x) != z | x \ R(x,y,x) = z. x \ R(x,y,x) = T(x \ R(x,y,x),y). T(x \ R(x,y,x),y) = x \ R(x,y,x). (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). (T(x * y,x) / x) / y = x \ R(x,y,x). x * y != (T(z * u,z) / z) / u | (z \ R(z,u,z)) / y = x. (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. R(x,x \ 1,y \ R(y,x \ 1,y)) = x. R(x,x \ 1,a(y,x \ 1,y)) = x. x \ a(y,x \ 1,y) = (x \ 1) * a(y,x \ 1,y). (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). (x \ T(x * (y \ 1),x)) * R(T(y \ a(x,y \ 1,x),x) \ 1,z,u) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). T((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 * y,x) / T(T(x,z) * y,x) = K(z,x). x != K(L(y \ z,u,w) \ z,z) | L(K(y,z),u,w) = x. L(K(x,y),z,u) = T(y * w,y) / T(T(y,L(x \ y,z,u) \ y) * w,y). T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). T(x * y,x) / T(T(x,z) * y,x) != u | K(z,x) = u. K(L(x,y,z),u) = L(K(x,u),y,z). L(K(x,y),z,u) = K(L(x,z,u),y). K(x,L(y,z,u)) = K(L(x,z,u),y). K(L(x,y,z),u) = K(x,L(u,y,z)). L(K(x,L(y,z,u)),y,w) != v5 | K(x,L(y,z,u)) = v5. K(x,L(y,z,u)) = K(L(x,y,w),L(y,z,u)). K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). K(x * y,z) = K((x \ 1) \ y,L(z,x \ 1,x)). K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). K((x \ 1) \ y,z) = K(x * y,(x \ 1) \ (x \ z)). K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). K(x,(y \ 1) \ (y \ z)) = K((y \ 1) \ (y \ x),z). K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). x != K(y,((z \ 1) \ u) \ w) | K(y,((1 / z) \ u) \ w) = x. K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(((y \ 1) \ 1) \ ((y \ 1) \ x),z). K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). K(x \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). K(x,y \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). K(x \ ((x \ 1) \ y),z) != u | ((1 / x) \ K(z,y)) \ x = u. ((1 / x) \ K(y,z)) \ x = K(z,x \ ((x \ 1) \ y)). a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. a(x,y * z,K(u,z)) = a(x,y,K(u,z)). K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). x * T(x \ y,z) = K(u,z) * (x * T(x \ (K(u,z) \ y),z)). K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. K((x \ 1) \ 1,y) * z = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,u)))) * (K(y,u) \ z). ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. R(K(x,y),K(y,z),u) = K(x,y). (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). x * y != K(z,u) * (K(u,w) * x) | T(K(z,u) * K(u,w),x) = y. T(K(x,y) * K(y,z),u) = u \ (K(x,y) * (K(y,z) * u)). x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). L(x,K(y,z),K(u,y)) = x. x * y != K(z,u) * (K(u,w) * (K(u,z) * v5)) | (K(u,w) * v5) / y = x. (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). x * y != (K(z,u) * K(u,w)) * v5 | (K(z,u) * (K(u,w) * v5)) / y = x. (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). K(x,y) * z != (K(x,y) * u) * (K(y,x) * w) | (u * K(y,x)) * w = z. (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). 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 \ L(x,y,x)) * z = K(y,x) * (K(x,y * x) * z). K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(y,z) = (y * z) / (z * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). x != T(y,z) * K(u,z) | T(y * K(u,z),z) = x. T(K(x,y) * K(y,z),z) = (y * z) / (z * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). K(x,y) * (K(y,z) * u) != w | K(y,z) * (K(x,y) * u) = w. K(x,y) * (K(x * y,x) * z) = a(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). K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. (a(x,y,x) \ z) \ z = a(x,y,x). x != a(y,z,y) | T(a(y,z,y),u) = x. T(a(x,y,x),z) = T(a(x,y,x),u). x != a(y,z,y) | y \ R(y,z,y) = x. x \ R(x,y,x) = T(a(x,y,x),z). T(a(x,y,x),z) = x \ R(x,y,x). T(x,L(y,z,u)) != u | u * K(y,u) = x. a(x,y,x) * K(z,a(x,y,x)) = a(x,y,x). x * R(a(y,z,y),u,w) = R(a(y,z,y),u,w) * x. R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). x / a(y,z,y) = a(y,z,y) \ x. (a(x,y,x) \ z) * a(x,y,x) = z. x / T(a(y,z,y),u) = a(y,z,y) \ x. x * (y \ R(y,z,y)) = a(y,z,y) * x. T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). T(x,R(a(y,z,y),u,w)) = x. 1 = K(x,a(y,z,y)). K(x,a(y,z,y)) = 1. x * K(y,a(z,u,z)) = x. x * K(y,a(z,u,z)) != w | x = w. a(x,y,x) * z != z * u | u = a(x,y,x). a(x,y,x) * z != z * u | a(x,y,x) = u. L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. T(x,y \ R(y,z,y)) = x. R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). L(x,a(x,y,x),z) = x. (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). (x * a(y,z,y)) * L(y,u,w) != v5 | (x * L(y,u,w)) * a(T(y,y \ x),z,T(y,y \ x)) = v5. (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). R(a(x,y,x),y,z) = (y * z) \ ((T(x * y,x) / x) * z). (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). (x * y) \ ((T(z * x,z) / z) * y) != u | L(a(z,T(x,y),z),T(x,y),y) = u. L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). L(a(x,y,x),T(y * K(z,y),z),z) = R(a(x,y * K(z,y),x),y * K(z,y),z). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). (x / y) \ (a(y,z,y) \ x) = L(y,z,y). x != (K(y,z) * u) * a(z,w,z) | z * (L(T(z,y),w,z) \ u) = x. x * (L(T(x,y),z,x) \ u) = a(x,z,x) * (K(y,x) * u). a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). x != R(y,z,u) * a(w,R(y,z,u),w) | R(y * a(w,y,w),z,u) = x. R(x * a(y,x,y),z,u) = a(y,R(x,z,u),y) * R(x,z,u). a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). x != (y * z) * a(y,u,y) | R(y,u,y) * z = x. R(x,y,x) * z = a(x,y,x) * (x * z). a(x,y,x) * (x * z) = R(x,y,x) * z. x != (y * z) * a(z,u,z) | y * R(z,u,z) = x. x * R(y,z,y) = a(y,z,y) * (x * y). a(x,y,x) * (z * x) = z * R(x,y,x). ((R(x,y,x) * z) * u) / ((x * z) * u) = R(a(x,y,x),x * z,u). K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). x != (y / z) * (K(y,z) * u) | (y / T(z,y)) * L(u,K(y,z),z \ y) = x. (x / T(y,x)) * L(z,K(x,y),y \ x) = (y \ x) * (a(y,y \ x,y) * z). (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). x * y != (z \ u) * (a(z,z \ u,z) * w) | x \ ((u / T(z,u)) * L(w,K(u,z),z \ u)) = y. ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). L(x,K(y,z),z \ y) = L(x,a(z,z \ y,z),z \ y). L(x,a(y,y \ z,y),y \ z) = L(x,K(z,y),y \ z). K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). T(T(x,K(y,z)),K(y,u)) = x * K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). x != K(y,z) * (K(z,u) * w) | K(z,u) * (K(y,z) * w) = x. K(x,y) * (K(z,x) * u) = (K(x,y) * K(z,x)) * u. (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. x * y != K(z,u) * (K(w,z) * x) | T(K(z,u) * K(w,z),x) = y. T(K(x,y) * K(z,x),u) = u \ (K(x,y) * (K(z,x) * u)). x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). L(x,K(y,z),K(z,u)) = x. x \ (K(y,z) * (K(u,y) * x)) != w | T(K(u,y),x) * T(K(y,z),x) = w. T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),K(x,y) * z). T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). T(K(x * R(y,z,u),y),w) * T(K(y,x),w) != v5 | a(y,x,R(y,z,u)) = v5. a(x,y,R(x,z,u)) = T(K(x,y) * K(y * R(x,z,u),x),w). T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). x != T(y / (y / z),z \ y) | z = x. x = L(T(y / (y / x),x \ y),K(z,u),K(u,w)). L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. T(x,K(y,z) * K(u,y)) = T(T(x,K(y,u)),K(y,z)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). L(x,K(y,T(z,u)),K(z,w)) = x. L(x,K(y,z),K(u,K(z,w))) = x. T(x * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). T(T(x,R(K(y,z),u,w)),K(z,v5)) = T(x,K(z,v5) * K(R(y,u / y,w),z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). x != T(T(y,K(z,u)),K(z,w)) | T(y,K(z,w) * K(u,z)) = x. T(x,K(y,z) * K(R(u,w,v5),y)) = T(x,K(y,z) * K(R(u,w / u,v5),y)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). T(T(x,K(y,z)),K(y,u)) != w | x * K(K(u,y) * K(y,z),x) = w. x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). T(T(x,K(y,z)),K(z,u)) != w | T(x,K(z,u) * K(y,z)) = w. T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). T(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,z) * K(R(z,u,w),y)). T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). K(x,K(y,z) * K(u,y)) = K(K(y,z) * K(u,y),x). K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). x != T(y,K(z,u) * K(R(w,v5,v6),z)) | T(y,K(z,u) * R(K(w,z),v5,v6)) = x. T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,R(u,w,v5)) * K(z,y)). T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). x != T(y,K(z,u) * K(R(u,w,v5),z)) | T(y,K(z,u) * K(u,R(z,w,v5))) = x. T(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). x != T(y * K(z,y),z) | y = x. x = T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)). T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). K(x,K(y,z) * K(u,y)) = K(K(z,y) * K(y,u),x). K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). K(K(x,y) * K(y,z),u) != w | K(u,K(x,y) * K(y,z)) = w. K(x,K(y,z) * K(z,u)) = K(x,K(z,y) * K(u,z)). K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. x * K(x,K(y,z) * K(u,y)) = T(K(x,K(y,z)) * x,K(y,u)). x != T(K(y,K(z,u)) * w,K(z,v5)) | K(y,K(z,u)) * T(w,K(z,v5)) = x. K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). x != K(y,K(z,u) * K(w,z)) | K(K(u,z) * K(z,w),y) = x. K(K(x,y) * K(y,z),u) = K(u,K(y,x)) * K(u,K(y,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). x != K(y,K(z,u) * K(w,z)) | K(K(z,u) * K(w,z),y) = x. K(K(x,y) * K(z,x),u) = K(u,K(x,y)) * K(u,K(x,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). K(x,K(y,z)) * u != w | K(z,v5) * (K(y,K(z,x)) * (K(z,v5) \ u)) = w. K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). (((K(x,y) * K(z,x)) \ u) \ u) \ 1 = (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))). (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). K(x,K(y,z)) * K(x,K(y,u)) = K(x * K(y,w),K(y,z) * K(u,y)). K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). x != K(y,K(z,u)) * K(y,K(z,w)) | K(y,K(z,u) * K(w,z)) = x. K(x,K(y,z) * K(u,y)) = K(x * K(y,w),K(y,z) * K(u,y)). K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). K(x,K(y,z) * K(u,y)) = K(K(w,y) * x,K(y,z) * K(u,y)). K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). K(x,K(y,z) * K(u,y)) != w | K(x,K(z,y) * K(y,u)) = w. K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) != v5 | (K(u,z) * K(y,x)) \ w = v5. (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). (x \ R(x,y,x)) \ z = z / (x \ R(x,y,x)). x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. L(x \ 1,x,y) = (K(x,z) * (y * x)) \ (K(x,z) * y). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). K(x,y) * R(R(K(x,y),K(y,z),u) \ 1,w,v5) = R(K(x,y) * R(K(x,y) \ 1,w,v5),K(y,z),u). K(x,y) * (K(z,T(x,u)) * w) = (K(x,y) * K(z,T(x,u))) * w. (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). K(x,K(y,z)) * (K(u,y) * w) = (K(x,K(y,z)) * K(u,y)) * w. (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). K(x,T(y,z)) != u | T(K(x,y),z) = u. T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). x \ K(x,y) = T(x \ K(x,y),K(z,x)). T(x \ K(x,y),K(z,x)) = x \ K(x,y). (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). x != (K(y,z) * K(z,u)) * w | K(y,z) * (K(z,u) * w) = x. K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(u * K(x,y),K(y,z)) / (K(z,y) * u). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). T(T(x,K(y,z)),K(z,u)) \ x = K(K(y,z) * K(z,u),K(y,z) \ x). K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. K(K(x,y) * K(z,x),u) = K(K(z,x) * K(x,y),K(z,x) \ u). K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). x != K(K(y,z) * K(u,y),w) | K(w,K(y,z) * K(u,y)) = x. K(x,K(y,z) * K(u,y)) = K(K(u,y) * K(y,z),K(y,u) * x). K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) != w | ((R((u * y) / u,z,y) \ y) \ y) \ x = w. ((R((x * y) / x,z,y) \ y) \ y) \ u = T((u / R(y,z,y)) * K(y,x),x / (x / y)). T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T(x * K(y,z),z / (z / y)) != u | ((z * y) / z) \ (x * y) = u. ((x * y) / x) \ ((z / R(y,u,y)) * y) = ((R((x * y) / x,u,y) \ y) \ y) \ z. ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). x != ((y * z) / y) \ (z * u) | T(z,y) * (z \ u) = x. T(x,y) * (x \ (R(x,z,x) \ u)) = ((R((y * x) / y,z,x) \ x) \ x) \ u. ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). R(x * K(y,x),z,x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. T(x,y) * (x \ z) != u | K(x,y) * z = u. K(x,y) * (R(x,z,x) \ u) = R(x * K(y,x),z,x) \ u. R(x * K(y,x),z,x) \ u = K(x,y) * (R(x,z,x) \ u). (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). 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. (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. x != (y * (K(z,u) * K(w,z))) / y | T(K(z,u) * K(w,z),y) = x. T(K(x,y) * K(z,x),u) = T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u). T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. K(x,y) * (K(y,x * y) * z) != u | (y \ L(y,x,y)) * z = u. (x \ L(x,y,x)) * z = a(x,y,x) \ z. x \ L(x,y,x) = a(x,y,x) \ 1. a(x,y,x) \ 1 = x \ L(x,y,x). (a(x,y,x) \ 1) * z = a(x,y,x) \ z. (a(x,y,x) \ 1) \ z = a(x,y,x) * z. x != a(y,z,y) * u | u * a(y,z,y) = x. x * a(y,z,y) = (a(y,z,y) \ 1) \ x. (a(x,y,x) \ 1) \ z = z * a(x,y,x). (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) != u | (((z * R(x,y,x)) / (z * x)) \ 1) \ 1 = u. (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). (x \ L(x,y,x)) \ z = z * a(x,y,x). x != K(y,z) * (K(z,u) * w) | (K(z,u) * K(y,z)) * w = x. (K(x,y) * K(z,x)) * u = (K(y,x) * K(x,z)) \ u. (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. x \ (K(y,z) * (K(z,K(u,w)) * x)) != v5 | T(K(y,z),x) * K(z,K(u,T(w,x))) = v5. T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). T(K(x,y),z) * K(y,u) != w | K(y,u) * T(K(x,y),z) = w. K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). K(x,y) * R(K(x,y) \ 1,z,u) = R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). ((K(x,y) * R(K(y,x),z,u)) * K(y,w)) \ (((K(x,y) * R(K(y,x),z,u)) * K(y,w)) * v5) = L(v5,K(y,w),R(K(x,y) * R(K(y,x),z,u),K(y,w),v5)). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). x = L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). ((x \ y) / y) * (x * (y / x)) = y / x. K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). x != K(y,(z / u) \ (y \ 1)) | K(y,u / (z * y)) = x. K(x,y / ((z \ y) * x)) = K(x,(z * (y / z)) / ((y / z) * x)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). K(x,(y * z) / (z * x)) != u | K(x,R(x \ y,x,z)) = u. K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). K(x,R(y,x,z)) != u | K(x,y) = u. K(x,x \ (y / z)) = K(x,y / (z * x)). K(x,y / (z * x)) = K(x,x \ (y / z)). K(x,y / (x * z)) = K(x,x \ (y / z)). K(x,y / (z * x)) != u | K(x,(x \ y) / z) = u. K(x,(x \ y) / z) = 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 * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). R(T(x,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). T(x,R(x,y,z) \ u) = T(x,x \ u). x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. K(x \ y,R(x,z,u)) = K(R(x,z,u) \ y,R(x,z,u)). K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). K(x \ 1,R(y,z,u)) = K(y \ (R(y,z,u) / x),R(y,z,u)). K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(L(x,x \ y,x),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). L(R(x,y,z),x \ u,x) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). x != (L(y,z \ u,z) * u) \ (y * u) | a(z,z \ u,T(y,u)) = x. a(x,x \ y,T(R(x,z,u),y)) = a(R(x,z,u),R(x,z,u) \ y,T(R(x,z,u),y)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). x / R(y \ x,z,u) = R(x / y,z,u) \ x. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). (R(x,y,z) \ u) \ u = R((x \ u) \ u,y,z). 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(x,y,z) \ ((R(x,y,z) * u) / R(x,y,z))) \ u = R(((x * K(u,x)) \ u) \ u,y,z). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. x != (y \ ((y * z) / y)) \ z | (y \ z) \ T(z,y) = x. (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R(((x * K(u,x)) \ u) \ u,y,z). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). R((x \ y) \ T(y,x),z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)). x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). x != R(y,z,u) * R(R(y,z,u) \ 1,w,v5) | R(y * R(y \ 1,w,v5),z,u) = x. R((1 / x) * R((1 / x) \ 1,y,z),x,u) = (T(u,x) * R(T(u,x) \ (u * x),y,z)) / (u * x). (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). (x * R(y,z,y)) / (x * y) = R(R(y,z,y) / y,y,x). R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). R(a(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). (R(a(x,y,x),x,z) \ 1) \ 1 = a(x,y,x) * K(z * x,a(x,y,x)). a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. x != (R(y,z,u) \ w) \ w | R((y \ w) \ w,z,u) = x. R((a(x,y,x) \ 1) \ 1,x,z) = a(x,y,x) * K(z * x,a(x,y,x)). a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). a(x,y,x) = R(a(x,y,x),x,z). R(a(x,y,x),x,z) = a(x,y,x). R(x,R(y,z,u),z * u) != w | ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = w. ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). R(x,y / z,z) != u | ((x * (y / z)) * z) / y = u. ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. (x / (y * x)) * T(x * y,z) != u | T(x * K(y * x,z),y) = u. T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). T(x,y) * K(x * y,z) = T(x * K(y * x,z),y). T(x / y,y) * K(x,z) = T((x / y) * K(y * (x / y),z),y). T((x / y) * K(y * (x / y),z),y) = T(x / y,y) * K(x,z). T((x / y) * K(y * (x / y),z),y) = (y \ x) * K(x,z). T((x / y) * K(x,L(y,z,u)),y) = (y \ x) * K(x,L(y,z,u)). T(T(x,L(y,z,u)) / y,y) = (y \ x) * K(x,L(y,z,u)). x \ T(y,L(x,z,u)) = (x \ y) * K(y,L(x,z,u)). (x \ y) * K(y,L(x,z,u)) = x \ T(y,L(x,z,u)). T(x,y) * (x \ T(y,L(x,z,u))) = y * a(u,z,K(x,y)). K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). K(x,y) * T(y,z) != u | ((x * y) / x) * K(y,z) = u. ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). (((x \ y) \ 1) \ x) \ x = T((x \ y) \ 1,y). T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). (x / (x / y)) / ((y \ x) * y) = y / x. (x / y) \ (y / (y / x)) = (x \ y) * x. K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). x != K((y / z) \ (u \ 1),u) | K(z / (y * u),u) = x. K(x / (y * z),z) = K(((y \ x) * y) / (z * (x / (x / y))),z). K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). K(((x \ y) * x) / (z * (y / (y / x))),z) != u | K(R(z \ (y / x),z,y / (y / x)),z) = u. K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). K(x \ (y / z),x) = K(y / (z * x),x). K(x / (y * z),z) = K(z \ (x / y),z). K(x / (y * z),z) != u | K((T(z,w) \ x) / y,z) = u. K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). K(x / (y * z),z) != u | K((z \ x) / y,z) = u. K((x \ y) / z,x) = K(x \ (y / z),x). K(x / ((y * x) * z),z) != u | K(y \ (z \ 1),z) = u. K(x \ (y \ 1),y) = K(y \ (z / (x * z)),y). K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). K(x,K(y,z)) * K(z \ (y \ 1),y) = K(y \ (u / (z * u)),T(y,x)). K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). x != K(y,K(z,u)) * K(u \ (z \ 1),z) | K(u \ (z \ 1),T(z,y)) = x. K(x \ (y \ 1),T(y,z)) = K(y \ (u / (x * u)),T(y,z)). K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). R(x,y,z) \ R(x * K(x \ (u / w),x),y,z) = K((T(x,v5) \ u) / w,R(x,y,z)). K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). K(x \ (y / z),R(x,u,w)) = K((T(x,v5) \ y) / z,R(x,u,w)). K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) != v5 | K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)) = v5. K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). x != K(y \ (R(y,z,u) / w),R(y,z,u)) | K(w \ 1,R(y,z,u)) = x. K(x \ 1,R(y,z,u)) = K(x \ (T(y,w) \ R(y,z,u)),R(y,z,u)). K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. K(x \ R(y,z,u),R(y,z,u)) = K((T(y,w) \ x) \ 1,R(y,z,u)). K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). K((T(x,x \ 1) \ y) \ 1,z) != u | K(y \ x,z) = u. K(x \ y,R(y,z,u)) = K(x \ R(y,z,u),R(y,z,u)). K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). K(x \ (y / z),T(x,z)) != u | K(x \ (y / z),T(x,y)) = u. K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). (x * K(y \ (z \ u),z)) \ x = K(T(z,u),z \ (u / y)). K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. K(x,y \ (x \ z)) = K(T(x,z),x \ (z / y)). K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). K(x,T(x \ y,z)) = K(x,(y \ z) \ (x \ z)). K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))) != u | K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = u. K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). x != K(y,T(y \ z,u \ z)) | K(y,T(y \ z,u)) = x. K(x,T(x \ y,z \ 1)) = K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). x != K(y,T(z,u \ 1)) | K(y,T(z,u)) = x. K(x,T(x \ y,z)) = K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). K(x,x \ T(y,z)) = K(x,T(x \ y,z)). K(x,x \ T(y,z)) != u | K(K(y,z) * x,x \ y) = u. K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). K(x,x \ T(y,z)) != u | T((x \ y) * x,z) \ T(y,z) = u. T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). K(x,x \ T(x * y,z)) = K(x,T(y,z)). x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). K(x,T(x \ y,z)) * (K(y,z) * x) != u | T(x,x \ y) * K(y,z) = u. T(x,x \ y) * K(y,z) = T(K(y,z) * x,x \ y). (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). T(x,T(x \ y,z)) = T(x,x \ T(y,z)). T(x,x \ T(y,z)) = T(x,T(x \ y,z)). x != T(y,T(z \ u,u \ z)) | T(y,z \ u) = x. T(x,x \ y) = T(x,x \ T(y,y \ x)). T(x,x \ T(y,y \ x)) = T(x,x \ y). T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * R(K(R(x,y,z) \ 1,u) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). R(K(x \ 1,y) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). K(T(x,y) \ z,u) = K((x * ((T(y,x) \ 1) * y)) \ z,u). K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). x \ (x * L(T(T(x,y),z),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). L(T(T(x,y),z),u,x) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). x * y != L(y,z,u) | y \ L(y,z,u) = x. T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). T(T(x,y),z) \ T(T(x,u),z) != w | K(y,T(x,z)) * K(T(x,z),u) = w. K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. (x \ L(x,y,x)) * x = K(y,T(x,z)) * T(x,T(x * y,z)). K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. x != (y \ L(y,z,u)) * y | L(y,z,u) = x. L(x,y,x) = K(y,T(x,z)) * T(x,T(x * y,z)). K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). K(x \ (y \ x),z) * T(z,T(y \ z,x)) != u | L(z,x \ (y \ x),z) = u. L(x,y \ (z \ y),x) = L(x,z \ 1,x). L(x,y \ z,x) = L(x,(y / z) \ 1,x). L(x,(y / z) \ 1,x) = L(x,y \ z,x). L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). R(T(K(x,y),z),y * x,z) = ((y * x) * z) \ ((x * y) * z). ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). ((x * y) * z) \ ((y * x) * z) != u | K((((x * y) * z) \ (x * z)) \ 1,x) = u. K((((x * y) * z) \ (x * z)) \ 1,x) = R(T(K(y,x),z),x * y,z). R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). x != K((y \ z) \ 1,u) | K(z \ y,u) = x. K((x * y) \ ((x * z) * y),x) = R(T(K(z,x),y),x * z,y). R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). x != K((y * z) \ ((y * u) * z),y) | K(R(T(u,z),y,z),y) = x. K(R(T(x,y),z,y),z) = R(T(K(x,z),y),z * x,y). R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). R(T(K(x,y),z),y * x,z) != u | ((y * x) * z) \ ((x * y) * z) = u. ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). x != K(R(T(y,z),u,w),v5) | K(R(y,u,w),T(v5,z)) = x. K(R(x,y,z),T(y,z)) = ((y * x) * z) \ ((x * y) * z). ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). x != K(R(y,z,u),T(z,w)) | K(y,T(z,w)) = x. K(x,T(y,z)) = ((y * x) * z) \ ((x * y) * z). ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). T(x,y) * K(z \ 1,z) = T(x * K(z \ 1,z),y). x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). K(x,L(1 / y,z,u) \ 1) != w | L(K(x,y),z,u) = w. L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). L(K(x,y),z,y \ 1) = K(x,1 * y). L(K(x,y),z,y \ 1) = K(x,y). K(L(x,y,z \ 1),z) = K(x,z). L(K(x \ T(y,z),u),T(y,z),z) != w | K((z * x) \ (y * z),u) = w. K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K((u * z) / u,x)). (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). (x \ 1) * (y * K(z,T(x,u))) = ((x \ 1) * y) * K(z,T(x,u)). ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. T(x,y \ y) != z | x = z. x = T(x,x \ R(x,y,z)). T(x,x \ R(x,y,z)) = x. R(x,y,z) / x = x \ R(x,y,z). (x \ R(x,y,z)) * x = R(x,y,z). R(x,y,z) \ R(x,y,z) = K(R(x,y,z),x \ R(x,u,w)). K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). R(x,y,z) \ R(x,y,z) = K(x \ R(x,u,w),R(x,y,z)). K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). a(x,y,x) * T(x,z) = R(T(x,z),y,x). K((x \ y) \ z,L(x,u,w)) = K(L(x,u,w) \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u),x) = K(L(x * (y \ z),x \ 1,y) \ u,x). K(L(x * (y \ z),x \ 1,y) \ u,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u),x). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). x != T(y,z \ T(y,u)) | T(y,z \ y) = x. T(x,y \ x) = T(x,T(x,z) / y). T(x,T(x,y) / z) = T(x,z \ x). K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). T(K(x,1 / T(y,z)),z) = K(x,1 / y). T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). a(x / y,z,x / y) * (x / y) = R(T(x / y,K(y,x)),z,x / y). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,y \ R(y,z,y),y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). x != K(y \ (((y \ z) * u) \ z),y) | K(u \ 1,y) = x. K(((x * (y \ 1)) \ z) \ 1,y) = K(L(y * (x \ z),y \ 1,x) \ 1,y). K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). K(x \ (y * (z \ 1)),z) = K(L(z * (y \ x),z \ 1,y) \ 1,z). K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). K(L(x * (y \ z),x \ 1,u) \ 1,x) != w | K(z \ (x \ y),x) = w. K(x \ (y \ z),y) = K(x \ (z * (y \ 1)),y). K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). K(((x \ 1) * y) \ (z * (x \ 1)),x) != u | K(y \ T(z,x \ 1),x) = u. K(x \ T(y,z \ 1),z) = K(((z \ 1) * x) \ (z \ y),z). K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). x != K(y \ T(z,u \ 1),u) | K(y \ z,u) = x. K(x \ y,z) = K(((z \ 1) * x) \ (z \ y),z). K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). K(((T(x,y) \ 1) * y) \ z,T(x,y)) != u | K(z / ((x \ 1) * y),x) = u. K(x / ((y \ 1) * z),y) = K(z \ (x * T(y,z)),T(y,z)). K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). K(((x \ 1) * (y * x)) \ z,x) != u | K(L(y,x,x \ 1) \ z,x) = u. K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). x != K((y * z) \ (u * z),z) | K(y \ u,z) = x. K(x \ y,z) = K(L(x,z,z \ 1) \ y,z). K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). K(x \ y,T(z,u)) = K(L(x,z,z \ 1) \ y,T(z,u)). K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). x != K((y \ z) \ u,T(y,w)) | K(z \ (y * u),T(y,w)) = x. K(x \ (y * z),T(y,u)) = K(((y \ 1) * x) \ z,T(y,u)). K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). K(((x \ 1) * y) \ z,T(x,y)) != u | K(((x \ 1) \ z) / y,x) = u. K(((x \ 1) \ y) / z,x) = K(z \ (x * y),T(x,z)). K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). K((x * y) / z,x) = K(((x \ 1) \ y) / z,x). K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. K(x / (y \ z),y) = K(x / ((y \ 1) * z),y). K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). K(x / (y * (z \ 1)),z) = K(x / (z \ T(y,z \ 1)),z). K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. K(x / (y \ z),y) = K(x / (z * (y \ 1)),y). K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). K((x * y) / (x * (z \ 1)),z) != u | L(K(z * y,T(z,x)),y,x) = u. L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). x != R(y / z,u,z \ y) | R(T(y / z,K(z,y)),u,y / z) = x. R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). a(x \ y,z,x \ y) * (y / x) = R(T(y / x,K(x,y)),z,y / x). x * (y / z) != R(T(y / z,K(z,y)),u,y / z) | a(y / z,u,y / z) = x. a(x / y,z,x / y) = a(y \ x,z,y \ x). ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). x != a(y / z,u,y / z) | a(z \ y,u,z \ y) = x. a(x \ y,z,x \ y) = (x * R(x \ y,z,x \ y)) / y. (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. x != (y * K(z,u)) / u | y / T(u,z) = x. K(x,y) / T(z,z \ 1) = z \ K((z * ((x \ 1) / z)) \ 1,y). x \ K((x * ((y \ 1) / x)) \ 1,z) = K(y,z) / T(x,x \ 1). x * (K(y,z) / T(x,x \ 1)) = K((x * ((y \ 1) / x)) \ 1,z). K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). x * (K(y,z) / ((x \ 1) \ 1)) = K((x * ((y \ 1) / x)) \ 1,z). K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). x != K(y,z / K(u,y)) | K(y,z) = x. K(x,y) = K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)). K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). K(x,y * K(z \ K(u,x),z)) = K(x,y). K(x,y * (z \ K(u,x))) = K(x,y * (K(u,x) / z)). K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). x != K(y,z * (u \ K(w,y))) | K(y,z * (u \ 1)) = x. K(x,y * (z \ 1)) = K(x,y * (K(u,x) / z)). K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). 1 = K(R(x,y,z),x \ R(x,u,w)). K(R(x,y,z),x \ R(x,u,w)) = 1. K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). 1 * (x \ R(T(x,y),z,u)) = K(R(x,z,u),y) * (x \ R(x,z,u)). K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). x \ R(T(x,y),z,u) = K(R(x,z,u),y) * (x \ R(x,z,u)). K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,y) \ R(K(x,y),z,u) != w * (K(y,x) * R(K(x,T(y,v5)),z,u)) | K(v5,K(y,R(x,z,u))) = w. x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). x != T(y,z) \ R(T(y,z),u,y) | y \ R(y,u,y) = x. x \ R(x,y,x) = K(x * y,T(x,z)) * K(T(x,z),y). K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) != u | R(x,y \ R(y,z,y),y \ L(y,z,y)) = u. R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. R(x,a(y,z,y),y \ L(y,z,y)) = x. R(x,a(y,z,y),a(y,z,y) \ 1) = x. R(x / y,y,y \ 1) != z | x * (y \ 1) = z. x * (a(y,z,y) \ 1) = x / a(y,z,y). x * (y \ L(y,z,y)) = x / a(y,z,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. K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. x \ L(T(x,y),z,x) = a(x,z,x) \ K(x,y). a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). 1 = K(x \ R(x,y,z),R(x,u,w)). K(x \ R(x,y,z),R(x,u,w)) = 1. R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). K(R(x,y,z),y) != u | K(x,R(y,x,w)) = u. K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)) = K(a(x,y,z),T(x,x * (y * z))). K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). K(x,R(K(y,z),u,w)) != v5 | K(x,K(z,R(y,u,w))) = v5. K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). x != K(a(y,z,u),T(y,w)) | K(a(y,z,u),y) = x. K(a(x,y,z),x) = K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)). K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)) = K(a(x,y,z),x). K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. 1 = K(a(x,y,z),x). K(a(x,y,z),x) = 1. T(a(x,y,z),x) = a(x,y,z). T(x,a(x,y,z)) = x. x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) != u | 1 / (z * K(y,x)) = u. 1 / (x * K(y,z)) = (K(z,y) / x) * a(K(z,y) / x,x,K(y,z)). (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). K(x,y * (1 / z)) != u | K(x,y * (z \ 1)) = u. K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). K(x,y * ((z * K(x,u)) \ w)) != v5 | K(x,y * ((K(x,u) * z) \ w)) = v5. K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). x != K(y,z * (K(u,y) / w)) | K(y,z * (w \ 1)) = x. K(x,y * (z \ 1)) = K(x,y * ((K(x,u) * z) \ 1)). K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)) != w | K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = w. K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). x != K(y,R(z * K(y,u),w,v5)) | K(y,R(z,w,v5)) = x. K(x,R(y,z,z \ 1)) = K(x,R(R(y,K(x,u),z),z,(K(x,u) * z) \ 1)). K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). K(x,R(R(y,K(x,z),u),w,v5)) != v6 | K(x,R(y,w,v5)) = v6. K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). a(x,y,z) * L(x,u,w) = L(x,u,w) * a(x,y,z). L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). a(x,y,x) = L(a(x,y,x),L(x,z,u),w). L(a(x,y,x),L(x,z,u),w) = a(x,y,x). K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) != v6 | K(x,y) * R(K(y,x),z,u) = v6. K(x,y) * R(K(y,x),z,u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). x \ (K(y,y \ 1) * z) = (x * K(y \ 1,y)) \ z. (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. (x * y) \ (K(z,z \ 1) * u) = (x * (y * K(z \ 1,z))) \ u. (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. L(x,y * K(z \ 1,z),u) = (u * y) \ (K(z,z \ 1) * (u * (K(z \ 1,z) * (y * x)))). (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). (x * y) \ (x * (y * z)) = L(z,y * K(u \ 1,u),x). L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). x != (y * z) \ (y * (z * u)) | L(u,z,y) = x. L(x,y,z) = L(x,y * K(u \ 1,u),z). L(x,y * K(z \ 1,z),u) = L(x,y,u). L(x,y,z) = L(x,(y \ 1) \ 1,z). L(x,(y \ 1) \ 1,z) = L(x,y,z). L(x,y * (z \ 1),u) = L(x,y * (1 / z),u). L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). L(x,y / ((z \ 1) \ 1),u) = L(x,y / z,u). L(x,K(y \ 1,y) * z,u) = L(x,z,u). L(K(x,y),y \ 1,z) != u | K(x,y) = u. K(x,y \ 1) = L(K(x,y \ 1),y,z). L(K(x,y \ 1),y,z) = K(x,y \ 1). (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). R(x,y,K(z,y \ 1)) = x. R(x,y \ 1,K(z,y)) = x. R(x,y \ z,K(u,z \ y)) = x. x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. (x \ y) * (y \ x) = T((x \ y) * (y \ x),z). T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). T(x,(y \ z) * (z \ y)) = x. T(x,y * ((z * y) \ z)) = x. (x * ((y * x) \ y)) \ z = z / (x * ((y * x) \ y)). x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. K(x,y * ((z * y) \ z)) = 1. T(x * ((y * x) \ y),z) = x * ((y * x) \ y). T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). K(x,L(y * ((z * y) \ z),u,w)) = 1. K(x,L(y * ((z * y) \ z),y \ 1,z * y)) != u | K(x,a(z,y,y \ 1) \ 1) = u. K(x,a(y,z,z \ 1) \ 1) = 1. K(x,a(K(y,z),u,u \ 1)) = 1. T(x,a(K(y,z),u,u \ 1)) = x. T(x,a(K(y,z),u \ 1,u)) = x. T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). x != a(y,z \ 1,z) | y \ R(y,z \ 1,z) = x. K(x,y) \ R(K(x,y),z \ 1,z) = T(a(K(x,y),z \ 1,z),u). T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). T(K(x,y) * R(K(y,x),z,u),w) != v5 | K(x,T(y,w)) * R(K(y,T(x,w)),z,u) = v5. K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). K(x,T(y,z)) * u != w | K(z,K(y,x)) * (K(x,y) * u) = w. K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). K(x,K(y,z)) = K(x,K(y,R(z,u,u \ 1))). K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). x * K(y,K(z,x)) = T(x,K(y,R(z,u,u \ 1))). T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). x != y * K(z,K(u,y)) | T(y,K(u,z)) = x. T(x,K(y,z)) = T(x,K(z,R(y,u,u \ 1))). T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). T(x,K(y \ z,R(u,y,y \ 1))) != w | T(x,K(u,T(z * (y \ 1),y))) = w. T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). T(x,K(y,z * (u \ 1))) = T(x,K(T(y,u),u \ z)). T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). T(x,K(y,z / u)) = T(x,K(y,z * (u \ 1))). T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. T(x,T(y,(z * (u \ 1)) \ 1)) = T(T(x,y),K(y,z / u)). T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,K(y,z * u)) = T(x,K(y,z / (u \ 1))). T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. T(x,T(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). x * K(x,T(y,z / u)) = T(x,T(y,z * (u \ 1))). T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). R(K(x,y),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). x != R(K(y,z),u * y,w) | K(R(y,u,w),z) = x. K(R(x,y,y \ 1),z) = K(x,((z \ (y * x)) * (y \ 1)) \ x). K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),R(y,y \ z,x)). K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). R(K(R(x,y,z),u),w,x) != v5 | K(R(x,y,z),u) = v5. K(R(x,y,y \ 1),z) = K(x,(((z \ y) * x) * (y \ 1)) \ x). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). K(x,((y * x) * z) \ u) != w | K(x,(y * z) \ (x \ u)) = w. K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). K(x,((y \ z) * (z \ 1)) \ 1) != u | R(K(x,y),z,z \ 1) = u. R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,(y * z) * (z \ 1)). K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). T(x,K(y,z / x)) != u | T(x,K(y,z)) = u. T(x \ 1,K(y,z)) = T(x \ 1,K(y,z * x)). T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). x != T(y,K(z,u)) \ L(T(y,K(z,u)),w,v5) | T(y \ L(y,w,v5),K(z,u)) = x. T(x \ L(x,y,z),K(u,w)) = T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. K(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(u * x,w)). K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). K(x,K(y,z \ L(z,u,w))) = K(z \ L(z,u,w),K(x * z,y)). K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). K(x,K(y,z * u)) = K(x,K(y,z / (u \ 1))). K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). K(x,K(y,(z \ 1) \ u)) = K(x,K(T(y,u),u * z)). K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). K(x,K(y,z)) = K(y,K(x,(u \ 1) / (z / u))). K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). K(x,K(y,(z \ 1) / (u / z))) != w | K(y,(T(u,x) / z) / (u / z)) = w. K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). K(x,K(y,z)) != u | K(z,K(y,x)) = u. K(K(x,y),z) != u | K(x,K(y,z)) = u. K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. K(x,K(y,z)) * u = T(z,K(x,y)) / (u \ z). T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. L(x \ y,x,K(y,K(z,u))) = x \ y. a(K(x,K(y,z)),u,u \ x) = 1. a(K(x * y,K(z,u)),x,y) = 1. a(K(K(x,y),z),u,u \ z) = 1. x != 1 | K(y,K(z,u)) * K(y,K(z,u)) = x. K(x,K(y,z)) * K(x,K(y,z)) = a(K(K(u,w),v5),v6,v6 \ v5). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w)) * K(v6,v5)). a(K(K(x,y),z),u,u \ z) != w | 1 = w. 1 = K(x,K(y,R(z,u,u \ x)) * K(z,y)). K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. K(x,K(y,R(z,u,w)) * K(z,y)) != v5 | K(x,K(y,z) * K(z,R(y,u,w))) = v5. K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. a(K(x,K(y,z * u)),z,u) = 1. K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). K(K(x,y),z) != u | K(z,K(x,y)) = u. K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). K(x,K(y * z,u)) = K(x,K(y / (z \ 1),u)). K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) != v6 | K(y \ L(y,z,u),K(v5 * y,x)) = v6. K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,((x \ L(x,y,z)) / v5) * v5)). K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). K(x,K(y * z,y \ L(y,u,w))) = K(y \ L(y,u,w),K(z * y,x)). K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). K(x \ L(x,y,z),K(u * x,w)) != v5 | K(u,K(w,x \ L(x,y,z))) = v5. K(x,K(y,z \ L(z,u,w))) = K(y,K(z * x,z \ L(z,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). K(x,K(y,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). x != K(y,K(z * u,z \ L(z,w,v5))) | K(y,K(u,z \ L(z,w,v5))) = x. K(x,K(y,z \ L(z,u,w))) = K(x,K(y * z,z \ L(z,u,w))). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). K(x,K(y / (z \ 1),L(u,z \ 1,z))) != w | K(u,K(x,T(z * y,z))) = w. K(x,K(y,T(z * u,z))) = K(y,K(u * z,L(x,z \ 1,z))). K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). K(x,K(y,L(z,u \ 1,u))) = K(z,K(x,T(u * (y / u),u))). K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). K(x,K(y,T(z * u,z))) != w | K(x,K(y,(u \ 1) \ z)) = w. K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). R(x / y,y,K(x,z)) != u | T(x,z) / (y * K(x,z)) = u. T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). R(x,y \ 1,K(z,T(y,u))) = x. R(x,(y * K(z,y)) \ 1,K(u,y)) = x. R(x,y \ K(y,z),K(u,y)) = x. R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) != u | (x * K(z,y)) / (y \ 1) = u. (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). T(x,y) / (y \ 1) = x / (y \ K(y,x)). (T(x,y) / (y \ 1)) \ x = y \ K(y,x). (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). x != (R(y,z,u) \ 1) \ (R(y,z,u) \ K(y,w)) | K(y,w) = x. K(x,y) = (1 / R(x,z,u)) \ (K(x,y) / R(x,z,u)). (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). x != K(y,z) \ u | K(z,y) * u = x. K(x,y) * R(y,z,u) = (K(y,x) / R(y,z,u)) \ 1. (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). (K(x,y) / R(x,z,R(x,u,w))) \ 1 != v5 | R(x,z,R(x,u,w)) * K(y,R(x,z,R(x,u,w))) = v5. R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). K(x,y) = K(x,R(y,z,R(y,u,w))). K(x,R(y,z,R(y,u,w))) = K(x,y). K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. K(x,R(y,z,R(T(y,u),w,v5))) = K(T(x,u),T(y,u)). K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). K(x,y) = K(x,R(y,z,R(T(y,u),w,v5))). K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). x \ R(x,y,R(T(x,y),z,u)) != w | L(x,y,R(x,z,u)) \ x = w. L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). x != y \ R(y,z,R(T(y,u),w,v5)) | a(y,z,R(y,w,v5)) = x. a(x,y,R(x,z,u)) = a(T(x,w),y,R(T(x,w),z,u)). a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). T(x,y) / (T(y,x) \ 1) = x / (y \ 1). (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. (x * y) \ (((y \ 1) \ 1) * z) = (x * (1 / (1 / y))) \ (y * z). (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). x != K(y \ (((z \ 1) \ 1) * u),T(u,w)) | K(y \ (u * z),T(u,w)) = x. K((x * y) \ (z * y),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). x != K((y * z) \ (u * z),T(u,y)) | K(y \ u,T(u,z)) = x. K(x \ y,T(y,z)) = K((x * ((T(z,x) \ 1) * z)) \ y,T(y,x)). K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). K((x * ((T(y,x) \ 1) * y)) \ z,u) != w | K(T(x,y) \ z,u) = w. K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). K(T(x,y) \ z,T(z,x)) != u | K(T(x,y) \ z,z) = u. K(T(x,y) \ z,z) = K(x \ z,T(z,y)). K(x \ R(y,z,u),R(y,z,u)) != w | K(x \ y,R(y,z,u)) = w. K(T(x,y) \ z,R(z,u,w)) = K(x \ R(z,u,w),T(R(z,u,w),y)). K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). K(T((x \ y) \ y,z) \ u,u) = K(T(x,z) \ u,T(u,x \ y)). K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z * x)). R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(x \ z,T(z,y)),u) / T(z,u). x != T(y * K(z,T(y,u)),w) / T(y,w) | K(z,T(T(y,w),u)) = x. K(x \ y,T(T(y,z),u)) = K(T(x,u) \ y,T((x \ y) * T(x,y),z)). K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(x \ z,T(T(z,u),y)). K(T(x,y) \ z,T((x \ z) * T(x,z),u)) != w | K(T(x,y) \ z,T(z,u)) = w. K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). R(x,y,z) \ R(x * K(u,T(x,w)),y,z) != v5 | K(u,R(T(x,w),y,z)) = v5. K(x \ y,R(T(y,z),u,w)) = K(T(x,z) \ y,R(y,u,w)). K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). K(T(x,y) \ z,R(z,u,w)) != v5 | K(x \ R(z,u,w),T(R(z,u,w),y)) = v5. K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) != v5 | K(x * R(y,z,u),R(T(y,w),z,u)) = v5. K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). x != K((y \ 1) \ z,R(T(z,u),w,v5)) | K(y * z,R(T(z,u),w,v5)) = x. K(x * y,R(T(y,z),u,w)) = K(x * R(y,u,w),R(T(y,z),u,w)). K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) != v5 | K(x * R(y,z,u),R(y,z,u)) = v5. K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). R(R(x,y,x),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). R(x,y,L(x,z,u)) != w | R(x,y,x) = w. R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). R(R(x,y,x),z,u) * (z * u) = (R(x,y,R(x,z,u)) * z) * u. (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). (R(x,y,x) * z) * u = (R(x,y,R(x,z,u)) * z) * u. (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. (R(T(x,y),z,R(x,u,w)) * u) * w = (R(T(x,y),z,T(x,y)) * u) * w. (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). x != K(T(y,z) \ u,T(u,w * y)) | K(T(y,z) \ u,T(u,w)) = x. K(T(x,y) \ z,T(z,u)) = K(T(T(x,y),x * u) \ z,z). K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z)). K(T(x,y) \ z,z) != u | K(x \ z,T(z,y)) = u. K(T(x,y) \ z,T(z,x * u)) = K(T(x,y) \ z,T(z,u)). K(T(x,y) \ z,T(z,u)) = K(T(x,y) \ z,T(z,x \ u)). K(T(x,y) \ z,T(z,x \ u)) = K(T(x,y) \ z,T(z,u)). K(((x \ y) \ y) \ z,T(z,u)) = K(T(x,u) \ z,T(z,x \ y)). K(T(x,y) \ z,T(z,x \ u)) = K(((x \ u) \ u) \ z,T(z,y)). x != K((y \ z) \ u,T(u,w)) | K(z \ (y * u),T(u,w)) = x. K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,y \ x)). K(T(x,y) \ z,T(z,x \ u)) = K(u \ ((x \ u) * z),T(z,y)). K(T(x,y) \ z,T(z,x \ u)) != w | K(T(x,y) \ z,T(z,u)) = w. K(T(x,y) \ z,T(z,u)) = K(u \ ((x \ u) * z),T(z,y)). K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,x)). x != K(T(y,z) \ u,T(u,w)) | K(y \ u,T(T(u,w),z)) = x. K(x \ y,T(T(y,z),u)) = K(z \ ((x \ z) * y),T(y,u)). K(x \ ((y \ x) * z),T(z,u)) = K(y \ z,T(T(z,x),u)). K(x \ (y * z),T(z,u)) = K((x / y) \ z,T(T(z,x),u)). K((x / y) \ z,T(T(z,x),u)) = K(x \ (y * z),T(z,u)). K((x / y) \ z,T(T(z,x),u)) != w | K((x / y) \ z,T(T(z,y),u)) = w. K((x / y) \ z,T(T(z,y),u)) = K(x \ (y * z),T(z,u)). K((x / y) \ z,z) = K(x \ (y * z),T(z,y)). K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). K((x * y) \ (x * z),T(z,u)) != w | K(y \ z,T(z,u)) = w. K(x \ y,T(y,z)) = K(((z * x) / z) \ y,y). K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). K(x \ (y * z),T(z,u)) != w | K(x \ (z * y),T(z,u)) = w. K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. K(x / (y \ z),y) = K((z / x) \ y,y). K((x * y) / z,x) = K((z / y) \ x,x). K((x * y) / (z \ x),z) != u | L(K(z * y,T(z,x)),y,x) = u. L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). K(x / (y \ z),y) != u | K(x / (z / y),y) = u. K(x / (y / z),z) = K((y / x) \ z,z). L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). L(K(x * y,T(y,z)),x,z) != u | K(y * x,T(y,z)) = u. K(x * y,T(x,z)) = K((z / (z * y)) \ x,x). K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). K((x / y) \ z,z) = K(z * (x \ y),T(z,x)). K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). K(x / y,z) = K(((y * z) / x) \ z,z). K(((x * y) / z) \ y,y) = K(z / x,y). K((x * y) / z,x) != u | K(((x \ 1) \ y) / z,x) = u. K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). K(x / y,z) = K((y / ((z \ 1) * x)) \ z,z). K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). K(((x * y) / z) \ y,y) != u | K(z / x,y) = u. K(((x \ 1) * y) / z,x) = K(y / (z * x),x). K(x \ y,y) = K(z / (x * ((y \ 1) * z)),y). K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). x != K(y / (z * u),u) | K(u \ (y / z),u) = x. K(x \ (y / z),x) = K(((x \ 1) * y) / z,x). K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). (T(x * K(y,x),z) * u) / (T(x,z) * u) != w | K(y,T(x,z)) = w. K(x \ (y / z),T(x,u)) = K(((x \ 1) * y) / z,T(x,u)). K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). K((x * y) / ((x / z) * y),u) != w | R(K(z,T(u,x)),x,y) = w. R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(y \ (u / (((y \ 1) / x) * u)),T(y,z)). K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). K(x \ (y / (z * y)),T(x,u)) != w | K(z \ (x \ 1),T(x,u)) = w. K(((x \ 1) / y) \ (x \ 1),T(x,z)) = R(K(y,T(T(x,z),x \ 1)),x \ 1,u). R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). K(x,T(y,z)) = R(K(x,T(T(y,z),y \ 1)),y \ 1,u). R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. ((x \ 1) * y) * K(z,T(x,u)) != w | (x \ 1) * (y * K(z,T(x,u))) = w. (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. (x \ 1) * (K(y,x) * z) != u | K(y,x) * ((x \ 1) * z) = u. K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. L(x,y \ 1,K(z,y)) = x. L(x,(y \ 1) \ 1,z) != u | L(x,y,z) = u. L(x,y,K(z,y \ 1)) = x. K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). K(x \ R(y \ 1,y,z),y \ 1) != u | K(z / (x * (y * z)),y \ 1) = u. K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). K(x / (y * (z * x)),z \ 1) != u | K(y \ ((z * x) \ x),z \ 1) = u. K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) != u | K(x * ((y * z) \ z),y \ 1) = u. K(x * ((y * z) \ z),y \ 1) = K((x \ 1) \ (y \ 1),y \ 1). K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). K((x \ 1) \ y,y) != z | K(x * y,y) = z. K(x * (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). x != K(y * (z \ 1),z \ 1) | K(z \ y,z \ 1) = x. K(x \ y,x \ 1) = K(y * ((x * z) \ z),x \ 1). K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). K(x * ((y * z) \ z),y \ 1) != u | K(x * R(y \ 1,y,z),y \ 1) = u. K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). T(K(x \ y,x \ 1) / x,y) != z | R(1 / x,y,x \ 1) = z. R(1 / x,y,x \ 1) = R(1 / x,y,z / (x * z)). R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). R(1 / (x / y),z,y / x) = R(1 / (x / y),z,(x / y) \ 1). R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). x != (1 / y) \ R(1 / y,z,u) | y * R(y \ 1,z,u) = x. (x / y) * R((x / y) \ 1,z,y / x) = T(a(1 / (x / y),z,1 / (x / y)),u). T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). x != (y / z) * R((y / z) \ 1,u,w) | (y * R(y \ z,u,w)) / z = x. (x * R(x \ y,z,y / x)) / y = T(a(1 / (x / y),z,1 / (x / y)),u). T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. x != (y * R(y \ z,u,y \ z)) / z | a(y \ z,u,y \ z) = x. a(x \ y,z,x \ y) = T(a(1 / (x / y),z,1 / (x / y)),u). T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). T(a(1 / x,y,z),x \ 1) != u | a(x \ 1,y,z) = u. a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). a((x / y) \ 1,z,(x / y) \ 1) != u | K((y \ x) \ z,y / x) * K(y / x,z) = u. K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). K((x \ y) \ z,x / y) * K(x / y,z) != u | a((x \ y) \ 1,z,(x \ y) \ 1) = u. a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). K(((x * y) / x) \ z,z) != u | K(z * (y \ K(y,x)),z) = u. K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). K(R(x,y,z) \ 1,R(x,y,z)) != u | K(((x * y) * z) \ (y * z),R(T(x,w),y,z)) = u. K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)) = ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1. ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1. ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. 1 = K(x \ L(x,y,z),a(z,y,x)). K(x \ L(x,y,z),a(z,y,x)) = 1. x * K(y \ L(y,z,u),a(u,z,y)) = x. K(a(x,y,z),z \ L(z,y,x)) = 1. a(x,y,z) \ 1 = 1 / a(x,y,z). 1 / a(x,y,z) = a(x,y,z) \ 1. (a(x,y,z) \ 1) \ 1 = a(x,y,z). ((x \ 1) \ y) * K(x \ 1,x) != z | (1 / x) \ y = z. (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). x != (y \ 1) \ (R(y,z,u) \ 1) | (y \ R(y,z,u)) \ 1 = x. (x \ R(x,y,z)) \ 1 = (1 / x) \ (1 / R(x,y,z)). (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. R(x,y,z) \ x = (x \ R(x,y,z)) \ 1. (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. a(x,y,R(x,z,u)) \ 1 = R(x,y,R(x,z,u)) \ x. R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. R(x,y,R(x,z,u)) \ x != w | a(x,y,R(x,z,u)) \ 1 = w. a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. a(x,y,R(x,z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). a(x,y / x,z) != u | a(T(x,x \ y),x \ y,z) = u. a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. a(R(T(x,y),z,u),y,x) = a(T(x,y),T(y,x),R(T(x,y),z,u)). a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. a(x,T(y,x),R(x,z,u)) = a(R(T(x,y),z,u),y,x). a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). x != a(y,T(z,y),R(y,u,w)) | a(y,z,R(y,u,w)) = x. a(x,y,R(x,z,u)) = a(R(T(x,y),z,u),y,x). a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) != w | a(x,u / R(x,y,z),R(x,y,z)) = w. a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). T(K(1 / x,y),z) != u | K(1 / T(x,z),y) = u. K(1 / T(T(x,y),y),z) = K(1 / x,z). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). x * a(y,z,y) != u | a(y,z,y) \ u = x. a(x,y,x) \ (z * x) = z * L(x,y,x). T(x \ K(x,y),x) = T(x \ K(x,y),T(x,z)). T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). x != K(y,z / R(y,u,w)) | K(y,R(y,u,w) \ z) = x. K(x,R(x,y,z) \ u) = a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). (x * (T(y,x) * z)) \ ((y * x) * z) = a((y * x) / y,y,z). a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). x != (y * (T(z,y) * u)) \ ((z * y) * u) | a(y,T(z,y),u) = x. a(x,T(y,x),z) = a((y * x) / y,y,z). a((x * y) / x,x,z) = a(y,T(x,y),z). a(x * K(y,x),y,z) = a(x,T(y,x),z). x != a(y,z,K(u,w)) | (y * z) \ ((y * (z * K(w,u))) * K(u,w)) = x. ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). x != y \ (z * K(u,y)) | T(z / T(y,u),y) = x. T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). T(a(K(x,y),z,z \ x),x) = ((x / z) * (z * K(y,x))) \ ((y * x) / y). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). x != T(a(K(y,z),u,w),y) | a(K(y,z),u,w) = x. a(K(x,y),z,z \ x) = ((x / z) * (z * K(y,x))) \ ((y * x) / y). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). ((x / y) * (y * K(z,x))) \ ((z * x) / z) != u | a(x / y,y,K(z,x)) = u. a(x / y,y,K(z,x)) = a(K(x,z),y,y \ x). a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). T(x * y,z) * a(x,y,K(z,x * y)) != u | x * (y * K(x * y,z)) = u. x * (y * K(x * y,z)) = (K(x * y,z) * y) * T(x,y). (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). K(x * y,z) * x = x * K(y * x,z). K(x * y,T(z,x)) = K(y * x,z). x * y != y * K(z,u) | K(z,T(u,y)) = x. K(x * y,T(z,y)) = K(y * x,z). x * (y \ 1) != (y \ 1) * K(z,T(u,y)) | K(z,u) = x. K(x * (y \ 1),z) = K((y \ 1) * x,T(z,y)). K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). K(x,T(y,z)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). (x * y) * K(y * x,z) = T(x * y,T(z,y)). x * K(x * y,z) = K(y * x,z) * x. K(x * y,z) * y = y * K(y * x,z). (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. K(x,y) * T(y * x,z) = T(x * y,T(z,y)). x * y != T(z * u,T(w,u)) | x \ (K(z,u) * T(u * z,w)) = y. (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). (x \ y) \ (K(x \ y,x) * z) != u | (y / x) \ z = u. (x / y) \ T(x,z) = T(x,T(z,y)) / (y \ x). T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). x != (y / (z \ 1)) \ T(y,z) | T(z,y) \ 1 = x. T(x,y) \ 1 = T(y,x) / ((x \ 1) \ y). T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. (T(x,y) \ 1) \ y = (y \ ((x \ 1) \ y)) * y. (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. (x \ (y \ x)) * x = (T(1 / y,x) \ 1) \ x. (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. K(T(x,y) * y,z) = K(x * y,T(z,x)). K(x * T(y / x,z),u) = K(y * K((y \ x) \ 1,z),T(u,x)). K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). K(x,T(y,z)) = K((z \ x) * z,y). K((x \ y) * x,z) = K(y,T(z,x)). K(x * y,z) * (y * x) = T(y * x,T(z,y)). K(x * K(y,(x \ z) \ 1),T(u,z)) = K(((y * (z \ x)) / y) * z,u). K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). T(x,y) * K(y * x,z) = K(x * y,z) * T(x,y). K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). T(x,y) * K(z,y * x) = K(z,x * y) * T(x,y). K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). K(x,T(y * z,y)) = K(x,z * y). K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). K(x,T(y * z,y)) != u | K(x,T(y * z,z)) = u. K(x,T(y * z,z)) = K(x,z * y). K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). x * K(x,y * z) = T(x,T(z * y,z)). T(x,T(y * z,y)) = x * K(x,z * y). K(x,K(y,z * u)) = K(x,K(y,(z \ 1) \ u)). K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). K(x,K(y \ (z * u),u \ (z \ 1))) != w | K(x,K(z * u,(z \ y) \ u)) = w. K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),y * z)). K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K((y * z) * u,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). x != K(y,K(z * u,u \ L(u,w,v5))) | K(y,K(z,u \ L(u,w,v5))) = x. K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). x != K(y,K(z * u,w \ L(w,u,z))) | K(y,K(z * u,a(z,u,w))) = x. K(x,K(y * z,a(y,z,u))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),y * (z * u))) != w | K(x,K(a(y,z,u),(y * z) * u)) = w. K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),(y * z) * u)) != w | K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),y * (z * u))) = w. K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,T(R(y,z,u) * (y \ x),y)) != w | K(x,x * (y \ R(y,z,u))) = w. K(x,x * (y \ R(y,z,u))) = K(x,(y \ x) * R(y,z,u)). K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). K(x,y * z) * T(x,y) = T(T(x,y),z * y). K(x,y) * T(x,y * z) = T(T(x,y),z * y). K(x,y) * z != T(T(x,y),u) | T(x,T(u,y)) = z. T(x,T(y * z,z)) = T(x,z * y). T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. K(x,y) * T(x,z * y) = T(T(x,y),y * z). T(x,T(y * z,y)) = T(x,z * y). x != K(y,(z * u) * (u \ 1)) | R(K(y,z),u,u \ 1) = x. R(K(x,y),z,z \ 1) = K(x,T((z \ 1) * (y * z),z)). K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). K(x,T((y \ 1) * (z * y),y)) != u | K(x,L(z,y,y \ 1)) = u. K(x,L(y,z,z \ 1)) = R(K(x,y),z,z \ 1). R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). R(K(x,y),z,z \ 1) != u | K(x,R(y,z,z \ 1)) = u. K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). K(x,R(y,z,z \ 1)) != u | K(x,R(y,z,(K(x,w) * z) \ 1)) = u. K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). K(x,y * (z \ 1)) = K(x,L(y / z,z,z \ 1)). K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). x != K(y,T(T(y,z),u)) | 1 = x. 1 = K((x \ y) * x,T(y,z)). K((x \ y) * x,T(y,z)) = 1. (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). x != a(y,z,R(y,u,w)) | a(R(y,u,w),z,y) = x. a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (y * L(R(T(x,y),z,u),x \ T(y,x),x)) \ (y * R(T(x,y),z,u)). (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). a(x,x \ y,T(R(x,z,u),y)) = a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). a(x,T(x,y) \ z,R(x,u,w)) != v5 | a(x,x \ z,R(x,u,w)) = v5. a(x,x \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). a(x,x \ y,R(T(x,y),z,u)) != w | a(R(x,z,u),R(x,z,u) \ y,T(R(x,z,u),y)) = w. a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). x * a(y,y \ (z * y),R(y,u,w)) = (x / R(y,u,w)) * R(R(y,z,y),u,w). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) != v5 | x * a(R(y,z,u),w,L(R(y,z,u),v6,v7)) = v5. x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) != w | a(x,x \ u,R(x,y,z)) = w. a(x,x \ y,R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). a(x,y \ z,u) * K(y,z) != w | K(y,z) * a(x,y \ z,u) = w. K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). R(a(x,y,x),z,u) = a(x,y,R(x,x \ z,u)). a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). x * R(a(x,y,x),z,u) = R(x,y,R(x,x \ z,u)). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,x \ u,w)). x != R(T(y,z),u,R(T(y,z),w,v5)) | R(T(y,z),u,R(y,w,v5)) = x. R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(T(x,y),z,T(x,y)),u,w). T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). x != T(y,z) * R(a(y,u,y),w,v5) | R(T(y,z),u,R(y,y \ w,v5)) = x. R(T(x,y),z,R(x,x \ u,w)) = R(T(x,y),z,R(x,T(x,y) \ u,w)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. L(x,K(y,z),K(y,u)) = x. (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). T(x,R(y,z,u)) = T(x,R(y,K(w,x) * z,u)). T(x,R(y,K(z,x) * u,w)) = T(x,R(y,u,w)). L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). L(K(x,y),z,z \ 1) = K(x,(y * z) * (z \ 1)). K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). x != L(K(y \ 1,z),y,u) | K(y \ 1,z) = x. K(x \ 1,y) = K(x \ 1,(x \ 1) * (y * x)). K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). T(x,T(y * z,y)) != u | T(x,z * y) = u. K(x * y,T(z,x)) != u | K(T(x,y) * y,z) = u. K(T(x \ y,x) * x,y) = 1. x * K(T(y \ z,y) * y,z) = x. K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). K(x,K(y,1 / z)) = K(x,K(y,K(u,y) / z)). K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). K(x,K(y,z)) * K(x,R(K(y,u),w,v5)) = K(K(z,y) * K(y,(w * v5) / ((u \ w) * v5)),x). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). x != a(y,z,K(u,w)) | a(y,z * w,K(u,w)) = x. a(x,y * z,K(u,z)) = K(z,L(u,y,x)) * K(u,z). K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). K(x,L(y,z,u)) * K(y,x) != w | a(u,z * y,K(y,x)) = w. a(x,y * z,K(z,u)) = a(x,y,K(z,u)). x * K(y,z) != a(u,w,K(y,z)) | K(z,L(y,w,u)) = x. K(x,L(y,z * x,u)) = K(x,L(y,z,u)). K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). K(x,y) * K(L(y,z,u),x) != w | w = a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. K((x \ 1) \ (x \ y),z) != u | K(y,(x \ 1) \ (x \ z)) = u. K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). 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,((x \ y) * z) \ 1) = K(x,(y * z) \ x). K(x,T(y,z) / x) = K(x,T(y / x,z)). K(x,y / x) = K(x,T(y,x / y) / x). K(x,T(y,x / y) / x) = K(x,y / x). K(x,y / x) * T(y,x / y) = x * (T(y,x / y) / x). K(x * y,1 / x) * T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) = (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)). (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). K(x,y * K(1 / y,z)) != u | T(K(x,y),z) = u. T(K(x,y),z * y) = T(K(x,y),z / (1 / y)). T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). K(x,((y \ 1) * z) \ u) != w | K(x,((1 / y) * z) \ u) = w. K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). (x \ y) * K(z,z \ T(x,x \ y)) = y / ((z \ T(x,x \ y)) * z). K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). (x \ y) * K(z,z \ T(x,x \ y)) = y / T((z \ x) * z,x \ y). L(x,y / T(z \ 1,u),w) = L(x,y / T(1 / z,u),w). L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). K(x,T(x * T(y,z),u)) = K(x,T(T(x * T(y,z),u),y)). K(x,T(T(x * T(y,z),u),y)) = K(x,T(x * T(y,z),u)). K(L(x,y,z),L(y,u,w)) != v5 | K(x,L(y,u,w)) = v5. K(x \ y,L(x,z,u)) = K(w \ (x \ (w * y)),L(x,z,u)). K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). T(x,K(y,z)) * L(K(u,y),w,v5) = T(x * L(K(u,y),w,v5),K(y,z)). x * y != T((y \ z) * y,u) | y \ T(z,u) = x. L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). L(K(x,y),z,u) * T(w,K(x,v5)) = T(L(K(x,y),z,u) * w,K(x,v5)). T(x,K(y,z)) * L(K(y,u),w,v5) = T(L(K(y,u),w,v5) * T(x,L(K(y,u),w,v5)),K(y,z)). T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). T(x,K(y,z)) * L(K(y,u),w,v5) = T(x * L(K(y,u),w,v5),K(y,z)). K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. K(x,1 / T(T(y,z),z)) = K(x,1 / y). x / K(1 / y,x) = T(x,1 / T(T(y,z),z)). T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. K(x,x * y) * (z * x) = K(x,y) * (z * L(x,y,x)). K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). x \ T(y,y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. K(x,(y \ x) * (x \ (y * z))) = K(x,L(z,y,y \ x)). K(x,(y \ x) * (x \ (y * z))) = K(x,L(z,y,x / y)). K(x,(y \ x) * (x \ (y * z))) != u | K(x,L(z,y,y \ x)) = u. K(x,L(y,z,z \ x)) = K(x,L(y,z,x / z)). K(x,L(y,z,x / z)) = K(x,L(y,z,z \ x)). K(x,y \ z) = K(x,((y / T(u,u \ x)) * u) \ z). K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). x != (y * K(z,u)) * K(w,T(z,v5)) | y * (K(z,u) * K(w,T(z,v5))) = x. x * (K(y,z) * K(u,T(y,w))) = (x * K(u,T(y,w))) * K(y,z). (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). K(x,((y * K(z,x)) * u) \ (y * (u * w))) != v5 | K(x,L(w,u,y * K(z,x))) = v5. K(x,L(y,z,u * K(w,x))) = K(x,(u * z) \ (u * (z * y))). K(x,L(y,z,u * K(w,x))) = K(x,L(y,z,u)). K(x,L(y,z,(x \ u) * x)) = K(x,L(y,z,u)). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). K(x,T(L(y,z,u),y \ w)) = K(x,L(T(y,w),z,u)). K(T(x,y \ z),L(y,u,w)) = K(x,L(T(y,z),u,w)). K(T(x,y \ z),L(y,u,w)) = K(x,T(L(y,u,w),z)). x != K(y,T(z,u)) | K(T(y,u),z) = 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)). 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)). K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (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,K(y,z) * (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). (x * (y * T(T(z,y),u))) \ (x * (z * y)) = K(u,L(T(z,y),y,x)). (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,L(T(y,u),u,x)). (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(L(y,u,x),u)). ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). x != L(T(y,z),u,T(y,w)) | L(T(y,z),u,y) = x. L(T(x,y),z,x) = (y * R(x,z,x)) \ ((x * y) * x). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). x != K(y,K(z,u)) * K(y,K(z,w)) | K(K(u,z) * K(z,w),y) = x. K(K(x,y) * K(y,R(z,u,w)),v5) = K(K(x,y) * K(y,(u * w) / ((z \ u) * w)),v5). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) != w | K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = w. K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(K(y,x) * K(x,R(y,z,u)),K(x,y) * (z * u)). K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. K(x * y,K(z,R(u,x,y)) * K(u,z)) = K(a(K(z,u),x,y),((x * y) \ K(u,z)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). x != K(y,K(z,R(u,w,v5)) * K(u,z)) | K(y,K(z,u) * K(u,R(z,w,v5))) = x. K(x * y,K(z,u) * K(u,R(z,x,y))) = K(a(K(z,u),x,y),((x * y) \ K(u,z)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). x != K(y * z,K(u,w) * K(w,R(u,y,z))) | 1 = x. 1 = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). a(K(x,y),z,u) * w = K(y,x) * (R(K(x,y),z,u) * w). K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). L(x,K(y,z),a(K(y,u),w,v5)) = x. K(a(K(x,y),z,u),w) = K(K(y,x) * K(x,R(y,z,u)),w). K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). K(a(K(x,y),z,u),w) * v5 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. x != K(a(K(y,z),u,w),v5) * y | y * K(a(K(y,z),u,w),v5) = x. x * K(a(K(x,y),z,u),w) = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * x). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). K(x,y) * T(z,K(u,R(x,w,v5))) != v6 | T(K(x,y) * z,K(x,R(u,w,v5))) = v6. T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). a(K(x,y),z,u) * (K(x,w) * v5) = (a(K(x,y),z,u) * K(x,w)) * v5. (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). T(x,K(y,R(z,u,w)) * K(z,y)) != v5 | x * K(a(K(x,y),u,w),z) = v5. x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). K(x,a(K(y,z),u,w)) = K(a(K(x,z),u,w),y). K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). K(x,a(K(y,z),u,w)) != v5 | K(a(K(x,z),u,w),y) = v5. K(a(K(x,y),z,u),w) = a(K(y,K(x,w)),z,u). K(x,a(K(y,z),u,w)) = a(K(x,K(z,y)),u,w). K(a(K(x,y),z,u),w) = a(K(x,K(y,w)),z,u). (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). x * a(K(x,y),z * y,u) = T(x,R(y,z,u)) * K(y,x). T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). x * a(K(x,y),z * y,u) = T(x * K(y,x),R(y,z,u)). T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. (x * K(y,z)) * R(K(u,y),w,v5) != v6 | R(K(u,T(y,x)),w,v5) * (x * K(y,z)) = v6. R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). (x * K(y,x)) * R(K(x,y),z,u) != w | (v5 * K(x,y)) \ ((v5 * R(v5 \ (v5 * K(x,y)),z,u)) * x) = w. (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) != v6 | R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z) = v6. R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). x != R(K(y,T(z,u)),w,v5) * (u * K(z,y)) | u * a(K(y,z),w,v5) = x. x * a(K(y,z),u,w) = (a(K(y,T(z,x)),u,w) * K(y,z)) * (K(z,y) * x). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). a(K(x,y),z,u) * w = w * a(K(x,T(y,w)),z,u). x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. T(a(K(x,y),z,u),w) = a(K(x,T(y,w)),z,u). K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. K(x,y) * (z * L(x,y,x)) != u | K(x,x * y) * (z * x) = u. K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). (x * 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. K(x \ (y * z),L(y,u,w)) = K((y \ x) \ z,L(y,u,w)). K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). K(x,K(y,L(z / u,u,w))) = K(x,K(z / u,L(y,z,w))). K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). x != y / L(K(z,u),w,v5) | 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. x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). x != K(y,K(z,u)) | K(y,K(y / z,u)) = x. K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,K(x / y,(z * u) \ w)) = K(x,K(u \ (z \ w),L(y,u,z))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). T(x * y,K(z,L(u,y,x))) = x * (y * K(z,K(x * y,u))). x * (y * K(z,K(x * y,u))) = T(x * y,K(z,L(u,y,x))). x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). K(x,T(y \ z,u)) = K(x,T(y \ (K(x,w) * z),u)). K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). K(T(x,y),z \ T(x,u)) = K(x,T(z \ T(T(x,w),u),y)). K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). K(x,T(y \ T(x,z),u)) != w | K(x,T(y \ T(T(x,v5),z),u)) = w. K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). T(x,1 / T(y,z)) = T(T(x,1 / y),K(1 / y,z)). T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). T(x,T(1 / y,z)) = T(x,1 / T(y,z)). T(x,1 / T(y,z)) = T(x,T(1 / y,z)). T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). T(x,K(y,y / z)) != u | T(x,K(z,y)) = u. T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). T(T(x,1 / (y / z)),K(y,z)) != u | T(x,1 / T(y / z,y)) = u. T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). T(x,T(1 / y,z)) = T(x,1 / ((y \ z) \ z)). T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). x != T(y,T(z * u,z)) | T(y,u * z) = x. T(x,y * z) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * z). T(T(x,K(y,K(z,u))),K(z,z * u) * y) = T(x,y * K(z,z * u)). T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(u,z)). T(T(x,K(y,z)),T(T(z,u),u) * y) = T(x,y * T(T(z,u),u)). x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,z \ y),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). x != T(y,R(z / (z / u),w,v5)) | T(y,R(T(u,z),w,v5)) = x. T(x,R(T(y,z),u,w)) = T(x,R(T(y,y \ z),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). K(x,1 / T(1 / y,z)) != u | T(K(x,y),z) = u. T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). T(K(x,y),z / (1 / y)) != u | T(K(x,y),z * y) = u. T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). T(K(x,y),z * y) != u | K(x,T(y,z)) = u. K(x,T(y,z)) = K(x,1 / (z / (z / (1 / y)))). K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). x != y / K(z,y) | T(y,z) = x. T(x,1 / y) = T(x,1 / T(T(y,z),z)). T(x,1 / T(T(y,z),z)) = T(x,1 / y). T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). T(x,1 / ((y \ z) \ z)) != u | T(x,T(1 / y,z)) = u. T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * T(x * y,1 / y)) / z). K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * T((z * (x * y)) / z,1 / y). T(x * y,T(1 / y,z)) = T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)). T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = T(x * y,T(1 / y,z)). L(x \ 1,x,y) \ y = T(y * x,T(1 / x,y)). T(x * y,T(1 / y,x)) = L(y \ 1,y,x) \ x. x != L(y \ 1,y,z) \ z | T(z * y,1 / y) = x. T(x * y,1 / y) = T(x * y,T(1 / y,x)). T(x * y,T(1 / y,x)) = T(x * y,1 / y). K(x,y) / T(y,z) = 1 / (K(y,x) * T(y,z)). 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * ((K(u,z) * T(u,w)) \ 1),v5). L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). K(x / y,z) / (y \ x) = (1 / (y \ x)) * K(x / y,z). (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). x * K(1 / x,y) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = x * K(1 / x,y). K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y / z)). K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). x * K(x,(y / z) \ 1) = T(x,T((z \ y) \ 1,z)). T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. T(x,(y / z) \ 1) = T(x,T((z \ y) \ 1,z)). T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). T(x,T(y \ 1,z)) = T(x,((z * y) / z) \ 1). T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). T(x,y \ K(y,z)) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. T(x,y \ (z \ y)) = T(x,z \ K(z,y)). T(x,y \ K(y,z)) = T(x,z \ (y \ z)). T(x,y \ K(y,z)) != u | T(x,z / (z * y)) = u. T(x,y / (y * z)) = T(x,y \ (z \ y)). (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). L(x,y * (T(z,u) \ K(w,z)),v5) = L(x,y * (K(u,z) / T(z,w)),v5). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). K(x,K(y / z,u * y)) = K(x,K(y / z,u * z)). K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). x != K(L(y \ 1,y,z),u) | K(y \ 1,u) = x. K(x \ 1,y * x) = K(L(x \ 1,x,z),((y * x) \ y) \ y). K(L(x \ 1,x,y),((z * x) \ z) \ z) = K(x \ 1,z * x). K(L(x \ 1,x,y),L(x \ 1,x,z) \ z) = K(x \ 1,z * x). K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). x != K(y,T(T(z,u),u * y)) | K(T(u * y,y) / u,z) = x. K(T(x * y,y) / x,z) = K(L(y,u,y),z). K(L(x,y,x),z) = K(T(u * x,x) / u,z). K(x,y) = K(T(z * x,x) / z,y). K(T(x * y,y) / x,z) = K(y,z). K(T(x,y \ x) / y,z) = K(y \ x,z). x \ (y * K(z,T(x,y))) != u | T(x,z) \ y = u. T(x,y) \ z = T(z / T(x,T(y,z)),x). T(x / T(y,T(z,x)),y) = T(y,z) \ x. T(x / T(y,z),y) = T(y,T(z,x)) \ x. K(x,K(y \ x,y) * z) != u | K(x,z) = u. K(x,y) = K(x,y * K(z \ x,z)). K(x,y * K(z \ x,z)) = K(x,y). K(x,y * K(z,x / z)) = K(x,y). K(x,y \ z) = K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)). K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). K(x,y \ T(z,z \ x)) = K(x,y \ z). K(x,y \ ((z \ x) \ x)) = K(x,y \ z). x != (y * K(z,u)) \ (y * u) | T(u,z) = x. T(x,x \ y) = T(x,((z \ x) * z) \ y). T(x,((y \ x) * y) \ z) = T(x,x \ z). (x \ T(y,y \ z)) * x = T((x \ y) * x,((u \ y) * u) \ z). T((x \ y) * x,((z \ y) * z) \ u) = (x \ T(y,y \ u)) * x. T((x \ y) * x,y \ z) = T((x \ y) * x,((u \ y) * u) \ z). T((x \ y) * x,((z \ y) * z) \ u) = T((x \ y) * x,y \ u). x / T((y \ z) * y,z \ x) = ((y \ z) * y) \ x. x / T((y \ z) * y,z \ x) != u | (z \ x) * K(y,y \ T(z,z \ x)) = u. (x \ y) * K(z,z \ T(x,x \ y)) = ((z \ x) * z) \ y. K(x,L(y,((x \ z) * x) \ u,w)) = K(x,L(y,z \ u,w)). x != K(L(y,z / T(y,u),w),v5) | L(K(y,v5),z,w) = x. L(K(x,y),z,u) = L(K(x,y),z * K(w,x),u). L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). L(K(x,y),z,u) = L(K(x,y),K(x,w) * z,u). L(K(x,y),K(x,z) * u,w) = L(K(x,y),u,w). L(x,y,T(z,y)) != u | L(x,y,z) = u. L(K(x,y),K(x,z) * u,w) = L(K(x,y),u,T(w,K(x,z) * u)). L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),K(x,w) * z,u). x != L(K(y,z),K(y,u) * w,v5) | L(K(y,z),w,v5) = x. L(K(x,y),z,u) = L(K(x,y),z,T(u,K(x,w) * z)). L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),z,u). T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). x != L(y,T(z,y),u) | L(y,z,u) = x. L(x,y / T(x,z),x) = T((y * K(z,x)) / (y / T(x,z)),y * K(z,x)). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). K(x,y) * z = (y * z) / T(T(y,z),x). (x * y) / T(T(x,y),z) = K(z,x) * y. (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). x != T(K(y,z),T(u,K(w,y))) | K(y,T(z,u)) = x. K(x,T(y,z)) = R(T(z,K(y,x)),K(x,y),z) \ T(K(x,y) * z,z). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,z) = u. L(x \ 1,x,y) = L(x \ 1,x,K(x,z) * y). L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). K(x,T(T(y,z),u)) = T(T(x * K(y,x),u),z) \ T(T(x,u),z). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,v5) * y,w),u)). K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). x != T(T(y * K(z,y),u),w) \ T(T(y,u),w) | K(y,T(T(z,w),u)) = x. K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(T(x,v5) * y,u),w)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). K(x,T(T(x * y,z),u)) = K(x,T(T(y * T(x,w),z),u)). K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). K(x \ T(x * y,z),T(u,x)) != w | K((x \ 1) * T(y / (x \ 1),z),u) = w. K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). x != K(L(y,z,u),T(w,y \ v5)) | K(L(y,z,u),T(w,v5)) = x. K(L(x,y,z),T(u,w)) = K(L((x \ w) \ w,y,z),u). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). (x * K(L(y,z,u),T(w,v5))) \ (x * w) = T(w,L((y \ v5) \ v5,z,u)). T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). x != (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,z),u,w)) = T(x,L(T(y,z * y),u,w)). T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). K(x,y / z) * K(z \ y,u) = K(z \ y,u) * K(x,y / z). K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). K(x \ 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)). K(R(x * y,z,u),x) = K(x * y,R(R(x,y,z),y * z,u)). K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). x / (K(R(y * z,u,w),y) * x) = K(R(R(y,z,u),z * u,w),y * z). K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). x != y / (K(z,u) * y) | K(u,z) = x. K(x,R(x * y,z,u)) = K(R(R(x,y,z),y * z,u),x * y). K(R(R(x,y,z),y * z,u),x * y) = K(x,R(x * y,z,u)). L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). L(x,y,x) * R(K(x,z),u,w) = L(x * R(K(x,z),u,w),y,x). ((1 / ((x * y) \ x)) / y) * T(y,z) = T((1 / ((x * y) \ x)) * K(y,z),y). L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. T(x / y,T(z \ (y \ x),y)) = T(x / y,T((y * z) \ x,y)). T(x / y,T((y * z) \ x,y)) = T(x / y,T(z \ (y \ x),y)). x != L(K(y,z),u,w) | K(y,L(z,u,w)) = x. K(x,L(y,z \ u,z)) = K(x,(z * ((z \ u) / y)) \ u). K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) != u | K(((x \ y) / z) \ y,z) = u. K(((x \ y) / z) \ y,z) = K(((x \ y) / z) \ y,L(z,x \ y,x)). K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. T(x * y,T(z,x)) != u | T(x * y,T(z,y)) = u. K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. T(x,y) = T(x,x * (L(x,z,u) \ y)). T(x,x * (L(x,y,z) \ u)) = T(x,u). T(x,x * y) = T(x,L(x,z,u) * y). T(x,L(x,y,z) * u) = T(x,x * u). x * K(x,x * y) = T(x,L(x,z,u) * y). T(x,L(x,y,z) * u) = x * K(x,x * u). K(x,L(x,y,z) * u) = K(x,x * u). R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,v6) * y). R(K(x,y),T(x,z) * u,w) != v5 | K(R(x,u,w),y) = v5. K(R(x,y,z),x * u) = K(R(x,y,z),L(x,w,v5) * u). K(R(x,y,z),L(x,u,w) * v5) = K(R(x,y,z),x * v5). K(R(x,y,z),L(x,u,x) * (w \ 1)) != v5 | K(R(L(x,u,x),y,z),w \ L(x,u,x)) = v5. K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). x != K(R(y,z,u),y * (w \ 1)) | K(R(y,z,u),w \ y) = x. K(R(x,y,z),u \ x) = K(R(L(x,w,x),y,z),u \ L(x,w,x)). K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). K(R(L(x,y,x),y,z),u \ L(x,y,x)) != w | K(x,((y * x) * z) / ((u * y) * z)) = w. K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). (x / T(y / (y / z),u)) * z = (x * K(u,y / (y / z))) * K(z,z \ y). (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. x != y * (z / y) | T(y,z / y) / (z \ y) = x. T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). T(x,1 / y) / y = (x / y) * K(x,1 / y). (x / y) * K(x,1 / y) = T(x,1 / y) / y. x * y != (z / u) * K(z,1 / u) | x \ (T(z,1 / u) / u) = y. x \ (T(x,1 / y) / y) = (x / y) / x. (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. (K(x,y) / z) * K(u,K(y,1 / z)) != w | T(K(x,y) / z,K(u,y)) = w. T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). K(x,y \ ((z \ x) \ x)) != u | K(x,y \ z) = u. K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). T(x,x \ y) / ((y \ x) \ x) != z | y \ T(x,x \ y) = z. x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). x != y / ((y \ (z \ y)) * y) | T(1 / z,y) \ 1 = x. T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). ((x * y) \ y) \ 1 = T(((y * x) \ y) \ 1,y). T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u) = (((K(x,y) * K(y,z)) \ u) \ u) \ 1. (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). x != (K(y,z) * K(z,u)) \ w | (K(z,y) * K(u,z)) * w = x. (K(x,y) * K(z,x)) * K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). T(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). ((K(x,y) * (K(y,z) * u)) \ u) \ 1 != w | (K(y,x) * K(z,y)) \ (K((K(y,x) * K(z,y)) \ u,K(y,x)) * K((K(y,x) * K(z,y)) \ u,K(y,z))) = w. (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ u != w | K(y,x) * (K(x,z) * u) = w. K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) != w | T(u * K(x,y),K(y,z)) / (K(z,y) * u) = w. T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). T(x * K(y,z),K(z,u)) / (K(u,z) * x) != w | T(K(z,u) * K(y,z),K(u,z) * x) = w. T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) != w | T(K(x,y) * K(z,x),u) = w. T(K(x,y) * K(z,x),u) = T(K(x,y) * K(z,x),K(x,z) * u). T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). T(K(x,y) * K(z,x),K(x,z) * u) != w | (K(x,z) * u) \ (K(x,y) * u) = w. (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). (K(x,y) * z) \ (K(x,u) * z) != w | K(x,T(u,z)) * K(y,T(x,z)) = w. K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). T(K(x,y) * K(z,x),u) * w = K(x,T(y,u)) * (K(z,T(x,u)) * w). K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) != v6 | R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5) = v6. R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = T(K(x,z) * K(z * R(x,u,w),x),y) * v5. T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). a(x,y,R(x,z,u)) * w = R(T(x,v5),y,R(x,z,u)) * (T(x,v5) \ w). R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (x * a(y,z,y)) * u = (R(a(y,z,y),x,u) * x) * u. (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. K(x,T(a(y,z,y),u)) = a(R(a(y,z,y),x,u),x,u). a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). x != K(y,a(z,u,z)) | 1 = x. 1 = a(R(a(x,y,x),z,u),z,u). a(R(a(x,y,x),z,u),z,u) = 1. L(x,y,R(a(z,u,z),y,x)) = x. (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). a(x,y,x) * z = z * R(a(x,y,x),z,u). x * R(a(y,z,y),x,u) = a(y,z,y) * x. x * y != a(z,u,z) * x | a(z,u,z) = y. a(x,y,x) = R(a(x,y,x),z,u). R(a(x,y,x),z,u) = a(x,y,x). ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). R(a(x,y,x),x * z,u) != w | a(x,y,R(x,z,u)) = w. a(x,y,R(x,z,u)) = a(x,y,x). 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). a(x,y,x) * (z * u) = (a(x,y,x) * z) * u. (a(x,y,x) * z) * u = a(x,y,x) * (z * u). (a(x,y,x) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). L(x,y,a(z,u,z)) = x. x != L(y,z,a(u,w,u)) | x = y. L(x,y,a(z,u,z)) != w | w = x. (a(x,y,x) * z) / u = a(x,y,x) * (z / u). ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,L(u,z,a(x,y,x)),w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). x / y = a(z,u,z) * ((a(z,u,z) \ x) / y). a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. a(x,y,x) \ x = L(x,y,R(x,z,u)). L(x,y,R(x,z,u)) = a(x,y,x) \ x. K(x,y) * a(x,x \ y,x) = K(x,R(x,z,u) \ y). K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). x != K(y,z) * a(y,y \ z,y) | K(y,y \ z) = x. 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) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. K(x,y \ x) = K(x,x \ ((x * R(T(x,z),u,w)) / y)). K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). K(x,x \ ((x * y) / z)) != u | K(x,y / z) = u. K(x,R(T(x,y),z,u) / w) = K(x,w \ x). K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(x,z,u)) = v5. K(x,y \ R(x,z,u)) = K(x,y \ x). K(x,(y \ z) \ R(x,u,w)) != v5 | K(x,z \ (y * R(x,u,w))) = v5. K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). x != K(y,(z \ u) \ y) | K(y,y * (u \ z)) = x. K(x,x * (y \ z)) = K(x,y \ (z * R(x,u,w))). K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). K(x,y \ (z * R(x,u,w))) != v5 | K(x,y \ (R(x,u,w) * z)) = v5. K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). K(x,y \ ((z * u) * R(x,z,u))) != w | K(x,y \ ((x * z) * u)) = w. K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). K(x,y \ ((x * z) * u)) != w | K(x,y \ ((z * x) * u)) = w. K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). x != K(y,y * (z \ (y \ u))) | K(y,z \ u) = x. K(x,y \ (z * u)) = K(x,y \ (x \ ((x * z) * u))). K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ ((x \ (u * x)) * z)). K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). K(x,y \ (T(z,x) * u)) != w | K(x,y \ (z * u)) = w. K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y * x). L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). x != K(y,(z * (u / w)) \ (z * u)) | L(K(y,w),u,z) = x. L(K(x,y),z,u) = L(K(x,y),z,u * x). L(K(x,y),z,u * x) = L(K(x,y),z,u). (T((x * y) * z,u) * L(K(y,w),z,x)) \ (T((x * y) * z,u) * K(y,w)) = L(a(x * y,z,K(y,w)),(x * y) * (z * K(y,w)),K((x * y) * z,u)). L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). L(K(x,y),z,y) != u | K(x,y) = u. K(x,L(y,z,y)) != u | K(x,y) = u. x != (y * L(K(z,u),w,v5)) \ (y * K(z,v6)) | K(z,v6) * L(K(u,z),w,v5) = x. K(x,y) * L(K(y,x),z,u) = L(a(u * x,z,K(x,y)),(u * x) * (z * K(x,y)),K((u * x) * z,w)). L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). a(x,y,K(z,u)) = L(a(x * z,y,K(z,u)),(x * z) * (y * K(z,u)),K((x * z) * y,w)). L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). L(x,y,K(z,y \ 1)) != u | x = u. a(x * y,z,K(y,u)) = a(x,z,K(y,u)). (x * a(y,z,K(u,w))) \ x = a(y * u,z,K(w,u)). a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. x != (y * a(z,u,K(w,v5))) \ y | a(z,u,K(v5,w)) = x. a(x,y,K(z,u)) = a(x * u,y,K(z,u)). a(x * y,z,K(u,y)) = a(x,z,K(u,y)). a(x,y,K(x,z)) != u | 1 = u. 1 = a(x,y,K(x * z,z)). a(x,y,K(x * z,z)) = 1. L(K(x * y,y),z,x) = K(x * y,y). x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). x * (K(x * y,y) * z) = K(x * y,y) * (x * z). K(x * y,y) * (x * z) = x * (K(x * y,y) * z). K(x * y,y) * z = x * (K(x * y,y) * (x \ z)). x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. K(x * y,y) * (x * (K(y,x) * z)) != u | a(y,x,y) * (x * z) = u. a(x,y,x) * (y * z) = y * (K(y * x,x) * (K(x,y) * z)). x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). x * (a(y,x,y) * z) = a(y,x,y) * (x * z). a(x,y,x) * (y * z) = y * (a(x,y,x) * z). a(x,y,x) * z = y * (a(x,y,x) * (y \ z)). x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. x != a(y,z,L(y,u,w)) \ y | L(y,z,L(y,u,w)) = x. L(x,y,L(x,z,u)) = L(x,y,R(x,w,v5)). L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). L(x,y,x) = L(x,y,L(x,z,u)). L(x,y,L(x,z,u)) = L(x,y,x). L(L(x,y,x),z,u) = L(L(x,z,u),y,L(x,w,v5)). L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). L(x,y,K(z * u,z)) = L(L(x,y,K(u,z)),K(u,z) * y,R(a(z,u,z),K(u,z),y * x)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). L(x,y,a(z,u,z)) != w | x = w. L(x,y,K(z,u)) = L(x,y,K(u * z,u)). L(x,y,K(z * u,z)) = L(x,y,K(u,z)). L(x,y,K(z,u)) = L(x,y,K(u \ z,u)). L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). L(x,y / z,K(y,z)) = x. (x / T(y,x)) * z = K(x,y) * ((x / y) * z). K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. R(K(x,y),x \ y,z) = K(x,y). R(K(x,x * y),y,z) = K(x,x * y). R(K(x,x * y),y,z) != u | K(x,R(y \ 1,y,z) \ x) = u. K(x,R(y \ 1,y,z) \ x) = K(x,x * y). T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). T(x,x * y) = T(x,R(y \ 1,y,z) \ x). T(x,R(y \ 1,y,z) \ x) = T(x,x * y). T(x,R(y \ 1,y,z) \ u) != w | T(x,(z / (y * z)) \ u) = w. T(x,(y / (z * y)) \ x) = T(x,x * z). T(x,(y / z) \ x) = T(x,x * (z / y)). T(x,(y / z) \ x) != u | T(x,(z * x) / y) = u. T(x,(y * x) / z) = T(x,x * (y / z)). x * K(x,x * (y / z)) = T(x,(y * x) / z). x * y != T(x,(z * x) / u) | K(x,(x * z) / u) = y. K(x,(x * y) / z) = K(x,x * (y / z)). K(x,(y * x) / z) = K(x,x * (y / z)). K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. K(x,(y / z) \ x) = K(x,x * (z / y)). (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). K(x,R(y,z,u) \ x) = K(x,x * ((z * u) / ((y * z) * u))). K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). K(x * (y / z),x) = K((z / y) \ x,x). K((x / y) \ z,z) = K(z * (y / x),z). K((x / y) \ z,z) != u | K(z * (x \ y),T(z,x)) = u. K(x * (y \ z),T(x,y)) = K(x * (z / y),x). K(R(x,y,z) \ u,u) = K(u * ((y * z) / ((x * y) * z)),u). K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). K(x * (y \ z),T(x,y)) != u | K(x * (y \ z),T(x,z)) = u. K(x * (y \ z),T(x,z)) = K(x * (z / y),x). K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). K(x * y,x) * K(x,y) != z | a(x,y,x) = z. a(x,y / z,x) = a(x,z \ y,x). a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). a(x,y,x) = a(x,(y \ z) \ z,x). a(x,(y \ z) \ z,x) = a(x,y,x). a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). a(x,T(y,z),x) = a(x,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,R(y \ z,u,w),x) = a(x,R(z / y,u,w),x). a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). a(x,R(y / z,z,u),x) != w | a(x,(z * u) \ (y * u),x) = w. a(x,(y * z) \ (u * z),x) = a(x,R(y \ u,y,z),x). a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). (x / y) \ (a(y,R(z \ u,z,w),y) \ x) = L(y,(z * w) \ (u * w),y). L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). x != a(y,z,y) | K(y * z,T(T(y,u),w)) * K(y,T(T(z,u),w)) = x. K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,T(y,w),x). a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). T(K(x * y,T(x,z)),u) = K(x * T(y,u),T(x,z)). T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). T(K(x,y) * K(y,K(z,u)),w) != v5 | K(y,K(z,T(u,w))) * K(x,T(y,w)) = v5. K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). K(x,K(y,T(z,u))) * w != K(x * T(y,u),T(x,z)) | K(x * T(y,u),x) = w. K(x * T(y,z),x) = K(y * x,T(x,z)). K(x * T(y,z),x) != u | R(K(y * x,T(x,z)),y,z) = u. R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). x != K(y * (z * K(u,w)),w) | K(y * z,w) = x. K(x * y,y) = R(K(x * y,y),x,z). R(K(x * y,y),x,z) = K(x * y,y). R(K(x * y,x),y,z) = K(y * x,x). R(x,R(y,y \ z,u),(y \ z) * u) != w | ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = w. ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. T(x,T(y * x,z)) = T(x,x * T(y,z)). T(x,x * T(y,z)) = T(x,T(y * x,z)). x != T(y,T(z * y,u)) | T(y,T(y * z,u)) = x. T(x,T(x * y,z)) = T(x,x * T(y,z)). T(x,x * T(y,z)) = T(x,T(x * y,z)). T(x / T(y,x),z) * T(y,T(y * (y \ x),z)) = y * T(y \ x,z). T(x / T(y,x),z) * T(y,T(x,z)) = y * T(y \ x,z). T(x / T(y,x),z) * T(y,T(x,z)) != u | x * K(T(x,y) / y,z) = u. x * K(T(x,y) / y,z) = y * T(y \ x,z). x * y != z * T(z \ x,u) | K(z \ x,u) = y. K(x \ y,z) = K(T(y,x) / x,z). K(T(x,y) / y,z) = K(y \ x,z). K(T(x,y) / y,z) != u | K(x / T(y,x),z) = u. K(x / T(y,x),z) = K(y \ x,z). T(x * K(x / y,z),x) = x * K(y \ x,z). (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). K(x \ y,z) \ (y * K(y / x,z)) != u | y = u. x = L(x,K(y \ x,z),x). L(x,K(y \ x,z),x) = x. L(x,K(y,z),x) = x. L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. T(K(x,y) * z,z) = z * K(x,y). L(R(x,y,x),y,R(x,y,x)) != z | x = z. x = R(x,K(y,z),x). R(x,K(y,z),x) = x. x * (x * K(y,z)) = (K(y,z) * x) * x. (K(x,y) * z) * z = z * (z * K(x,y)). x != y * (z * K(u,w)) | (y * (K(u,w) * z)) * K(u,K(w,z)) = x. (x * (K(y,z) * x)) * K(y,K(z,x)) = (K(y,z) * x) * x. K(K(x,y) * z,z) = K(x,K(y,z)). K(x,K(y,z)) = K(K(z,y) * x,x). K(K(x,y) * z,z) = K(z,K(y,x)). K(x * K(y,z),x) = K(x,K(z,y)). (x \ y) / T(x \ y,K(y,z)) = K(x,x * K(y,z)). K(K(x,y),z \ x) = K(z,z * K(x,y)). K(x,K(y,z \ x)) = K(z,z * K(x,y)). K(x,K(y,z \ x)) != u | K(z,K(x,y)) = u. K(x,K(y,z)) = K(x,x * K(y,z)). K(x,x * K(y,z)) = K(x,K(y,z)). x != K(y,K(z,u)) | K(y * K(u,z),y) = x. K(x * K(y,z),x) = K(x,x * K(z,y)). a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). a(x,y,x) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). x != a(y,z,y) * K(z,y) | K(y * z,y) = x. K(x * y,x) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. K(((x * y) \ x) \ z,y) = K(y * z,y). K(((x * y) \ x) \ (y \ z),y) = K(z,y). K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) != u | K(y \ z,y) = u. K(x \ y,x) = K((1 / ((z * x) \ z)) \ y,x). K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). K((((x * y) \ x) \ 1) \ z,y) != u | K(z * ((x * y) \ x),y) = u. K(x * ((y * z) \ y),z) = K(z \ x,z). K(x * ((y * z) \ y),z) != u | K(x * ((z * y) \ y),z) = u. K(x * ((y * z) \ z),y) = K(y \ x,y). K(x * (y \ z),z \ y) = K((z \ y) \ x,z \ y). K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z) \ T(y,z) != u | K(x,T(x \ y,z)) = u. K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). K(x,T(y,z \ (x \ u))) != w | K(x,T(y,z \ u)) = w. K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). K(x,y * ((x * z) \ z)) = K(x,T(x \ y,z \ z)). K(x,y * ((x * z) \ z)) = K(x,x \ y). K(x,y * ((x * z) \ z)) != u | K(x,R(x \ 1,x,z) * y) = u. K(x,R(x \ 1,x,y) * z) = K(x,x \ z). K(x,R(x \ 1,x,y) * z) != u | K(x,z * (y / (x * y))) = u. K(x,y * (z / (x * z))) = K(x,x \ y). K(x \ y,z * (u / ((x \ y) * x))) != w | K(x \ y,z * (u / y)) = w. K(x \ y,z * (x / y)) = K(x \ y,(x \ y) \ z). K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). x != K(y * (z \ u),u \ z) | K(y * (u / z),u \ z) = x. K(x * (y / z),y \ z) = K((y \ z) \ x,y \ z). K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). K(T(x,x \ 1) \ y,y) = K(y * R(x \ 1,x,z),y). K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). x != K(T(y,y \ 1) \ z,u) | K(y \ z,u) = x. K(x \ y,y) = K(y * R(x \ 1,x,z),y). K(x * R(y \ 1,y,z),x) = K(y \ x,x). T(x,T(x * (y / z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). T(x,T((y * x) / z,u)) != w | T(x,T(y / (x \ z),u)) = w. T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,z * (x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). x != K(y,z) * T(z,z * y) | L(z,y,z) = x. L(x,y / z,x) = L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). L(x,y * (y \ ((z / u) \ 1)),x) != w | L(x,z \ u,x) = w. L(x,y \ z,x) = L(x,z / y,x). L(x,y / z,x) = L(x,z \ y,x). L(x,y,x) = L(x,(y \ z) \ z,x). L(x,(y \ z) \ z,x) = L(x,y,x). L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). L(x,y,x) = L(x,y * K(z,y),x). L(x,y * K(z,y),x) = L(x,y,x). L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). L(x,R(y * K(z,y),z,u),x) != w | L(x,(z * u) \ ((z * y) * u),x) = w. L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). K(x,(x * y) / z) != u | K(z,K(x,y)) * K(x,z \ (x * y)) = u. K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) != w | K(y,((z * y) * u) / x) = w. K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). K(x,((y * x) * z) / ((u * y) * z)) != w | K(R(x,y,z),u \ x) = 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,x * ((y * z) / ((u * y) * z))) != w | K(x,R(u,y,z) \ x) = w. 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). a(x,y * K(z,y),x) != u | a(x,y,x) = u. a(x,y,x) = L(a(x,y,x),y,z). L(a(x,y,x),y,z) = a(x,y,x). a(x,L(y * K(z,y),u,w),x) = L(a(x,L(y,u,w),x),L(y,u,w),z). L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). L(a(x,L(y,z,u),x),L(y,z,u),u * z) != w | (u * (z * y)) \ (u * (z * (T(x * y,x) / x))) = w. (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). x != a(y,z / u,y) | a(y,u \ z,y) = x. a(x,(y * z) \ (y * (z * u)),x) = L(a(x,u,x),z * u,y). L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). (x * a(y,z,y)) * u = a(y,z,y) * (x * u). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). x != (a(y,z,y) * u) / w | a(y,z,y) * (u / w) = x. a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(x,y,x) * z,L(u,z,a(x,y,x)),w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). a(x,y,x) * R(z,u,w) = R(a(x,y,x) * z,u,w). T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). 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). x != a(y,z,y) * (z * u) | z * (a(y,z,y) * u) = x. x * (a(y,x,y) * z) = (x * a(y,x,y)) * z. (x * a(y,x,y)) * z = x * (a(y,x,y) * z). L(x,a(y,z,y),z) = x. ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). ((a(x,y,x) * z) * u) / (z * u) = a(x,R(y,y \ z,u),x). a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). R(a(x,y,x),z,u) = a(x,R(y,y \ z,u),x). a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). a(x,R(y,z,u),x) = R(a(x,y,x),y * z,u). R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). R(a(x,y,x),z,u) != w | a(x,y,x) = w. a(x,y,x) = a(x,R(y,z,u),x). 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,R(y \ R(y,z,u),y,z * u),x) != w | a(x,a(y,z,u),x) = w. a(x,a(y,z,u),x) = a(x,y \ R(y,z,u),x). a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). a(x,y,x) * T(x,z) = R(T(x,z),R(y,u,w),x). R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). a(x,y \ R(y,z,u),x) = a(x,a(y * K(z,y),z,u),x). a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). x != a(y,z \ R(z,u,w),y) | a(y,a(z,u,w),y) = x. a(x,a(y,z,u),x) = a(x,a(y * K(z,y),z,u),x). a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). a(x,a(y,T(z,y),u),x) != w | L(a(x,L(u,z,y) \ u,x),u,z * y) = w. L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). x != (y / z) \ (a(z,u,z) \ y) | L(z,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). a(x,(y * z) \ z,x) = a(x,y \ 1,x). x != a(y,z,y) * T(y,u) | R(T(y,u),z,y) = x. R(T(x,y),z,x) = R(T(x,y),R(z,u,w),x). R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). R(x,y,z) * T(u,x) = T(u * R(x,y,z),u * x). T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). (x * y) / (y * T(x,z)) != u | T(K(z,x) * K(x,y),y) = u. T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). T(a(K(x,y),z,u),w) != v5 | a(K(x,T(y,w)),z,u) = v5. a(K(x,T(y,R(y,z,u))),z * y,u) = K(x * y,x * R(y,z,u)). a(K(x,y),z * y,u) = K(x * y,x * R(y,z,u)). K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). K(x,y) != z | R(K(x,y),y,u) = z. R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). a(K(x / y,y),z * y,u) = K(x,(x / y) * R(y,z,u)). R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). x != K(y,(y / z) * u) | K(y,(z \ y) * u) = x. K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). a(K(x / y,y),z * y,u) = K(x,(y \ x) * R(y,z,u)). x != K(y,(z \ y) * R(z,u,w)) | K(y,y * (z \ R(z,u,w))) = x. K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). a(K(x / y,y),z * y,u) = K(x,x * (y \ R(y,z,u))). a(K(x \ y,x),z * x,u) = K(y,y * (x \ R(x,z,u))). L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. L(x,K(y,z),z \ y) = x. L(x,K(y,z),z \ y) != u | L(x,K(y,z),y / z) = u. L(x,K(y,z),y / z) = x. L(x,K(y * z,z),y) = x. x * (K(x * y,y) * z) = (x * K(x * y,y)) * z. (x * K(x * y,y)) * z = x * (K(x * y,y) * z). ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). ((K(x * y,y) * z) * u) / (z * u) = K(R(x,x \ z,u) * y,y). K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). R(K(x * y,y),z,u) = K(R(x,x \ z,u) * y,y). K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). K(x * ((y * z) / ((u * y) * z)),x) != w | K(R(u,y,z) \ x,x) = w. K(R(T(x,x \ 1),y,z) \ u,u) = R(K(u * R(x \ 1,x,y),u),y,z). R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). x != K(R(T(y,y \ 1),z,u) \ w,v5) | K(R(y,z,u) \ w,v5) = x. K(R(x,y,z) \ u,u) = R(K(u * R(x \ 1,x,y),u),y,z). R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). x / (x / K(y,z)) != u | K(y,T(z,x)) = u. K(R(x,y,z) \ u,T(u,w)) = R(K(x \ u,T(u,w)),y,z). R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. K(x,T(R(y,z,u) \ x,w)) = R(K(T(x,w),y \ x),z,u). R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). x != K(y,T(z \ u,K(z,w))) | K(y,K(u,T(z,w))) * K(y,u / z) = x. K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). 1 * K(x,R(y,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). 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(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). a(x,y \ z,x) != u | a(x,z / y,x) = u. a(x,y / (z * y),x) = a(x,z \ 1,x). T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). K(x,R(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,R(y,z,u)). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. x != K(y,R(z,u,(K(y,w) * u) \ 1)) | K(y,L(z,u,u \ 1)) = x. K(x,L(y,z,z \ 1)) = R(K(x,y),z,(K(x,u) * z) \ 1). R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). 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),K(z,y),u) = K(x,y). (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). K(x,y) * T(z,R(x,u,w)) != v5 | T(K(x,y) * z,R(x,u,w)) = v5. T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). a(K(x,y),z * y,u) = a(K(x,y),z,u). K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). K(a(K(x,y),z,u),w) != v5 | a(K(x,K(y,w)),z,u) = v5. a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). K(L(x,y,y \ 1),z) = y * ((K(z,x) * y) \ 1). x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). x != K(L(y,z,u),w) | K(y,L(w,z,u)) = x. K(x,L(y,z,z \ 1)) = z * ((K(y,x) * z) \ 1). x * ((K(y,z) * x) \ 1) = K(z,L(y,x,x \ 1)). x * y != K(L(z,u,w),v5) | x \ K(z,L(v5,u,w)) = y. x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). K(x,((((y \ 1) \ 1) * z) \ u) \ w) != v5 | K(x,((y * z) \ u) \ w) = v5. K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). K(x,((T(y,x) / z) \ 1) \ z) != u | z \ ((T(y,x) / z) \ y) = u. x \ ((T(y,z) / x) \ y) = K(z,((y / x) \ 1) \ x). K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). x * K(y,((z / x) \ 1) \ x) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). a(a(x,y,x) * z,u,w) = a(z,u,w). a(K(x * y,x),z,u) = a(K(y,x),z,u). a(K(x * y,y),z,u) = a(K(x,y),z,u). a(K(x,x \ y),z,u) = a(K(x,y),z,u). a(K(x * y,(x * y) \ y),z,u) = a(K(x * T(y,w),y),z,u). a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). a(K(x,y),z,u) = a(K(y \ x,y),z,u). a(K(x \ y,x),z,u) = a(K(y,x),z,u). a(K(x \ y,x),z * x,u) != w | K(y,y * (x \ R(x,z,u))) = w. K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). K(x,y) != z | (y / (y / x)) \ L(x,x \ y,x) = z. ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). K(x,y) != z | (x \ T(y,x)) \ (x \ y) = z. (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u). K(x,K(y,z \ R(z,u,w))) = a(K(x,K(z,y)),u * z,w). x != a(K(y,K(z,u)),w * z,v5) | a(K(z,K(y,u)),w,v5) = x. a(K(x,K(y,z)),u,w) = K(y,K(z,x \ R(x,u,w))). K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). K(x,K(y,z \ R(z,u,w))) != v5 | K(x,K(y,R(z,u,w) * (z \ y))) = v5. K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). K(x,K(R(y,z,u),R(z,w,v5) \ z)) != v6 | K(x,K(y,(z * u) / (R(z,w,v5) * u))) = v6. K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). K(x,K(R(y,z,u) \ y,R(w,y,z * u))) != v5 | K(x,K(a(y,z,u),T(w,y * (z * u)))) = v5. K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) != w | K(x,K(y * z,a(y,z,u))) = w. K(x,K(y * z,a(y,z,u))) = a(K(x,K(y,(y * z) * u)),z,u). a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). a(K(x,K(y,z * u)),z,u) = K(y,K(x * z,a(x,z,u))). a(K(x,K(y,z * u)),z,u) != w | 1 = w. 1 = K(x,K(y * z,a(y,z,u))). K(x,K(y * z,a(y,z,u))) = 1. K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. K(x,K(a(y,z,u),y * (z * u))) = 1. 1 * (x * (y * z)) = (1 / K(u,a(x,y,z))) * ((x * (y * z)) / (K(u,a(x,y,z)) \ 1)). (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). x * (y * z) = (1 / K(u,a(x,y,z))) * ((x * (y * z)) / (K(u,a(x,y,z)) \ 1)). (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). (x * (y * z)) * K(u,a(x,y,z)) = K(u,a(x,y,z)) * (x * (y * z)). K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). K(x,((y * z) * u) / (y * (z * u))) != w | R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = w. R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). a(K(x * y,y \ 1),z,u) != w | a(K(y * T(x,v5),x),z,u) = w. a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). a(K(x * y,y),z,u) != w | a(K(x,y),z,u) = w. a(K(x,y),z,u) = a(K(y,x \ 1),z,u). a(K(x,y \ 1),z,u) = a(K(y,x),z,u). a(K(x,y \ 1),z,u) != w | K(y \ 1,x) * K(x,R(y,z,u) \ 1) = w. K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). a(K(x,y),z,u) = a(K(y \ 1,x),z,u). a(K(x \ 1,y),z,u) = a(K(y,x),z,u). a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). a(K(x,y \ 1),z,u) != w | a(K(y,x),z,u) = w. a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). a(K(x,R(y,z,u)),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). a(K(x,R(y,z,u) \ 1),w,v5) != v6 | R(K(y \ 1,x) * K(x,R(y,w,v5) \ 1),z,u) = v6. R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). R(a(K(x,y),z,u),w,v5) = a(K(x,R(y,w,v5)),z,u). R(a(K(x,y),z * y,u),R(y,z,u),z * u) != w | K(x,a(y,z,u)) = w. K(x,a(y,z,u)) = a(K(x,R(y,R(y,z,u),z * u)),z * y,u). a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). R(a(K(x,y),z * y,u),x * R(y,z,u),w) != v5 | a(K(x,y),z * y,u) = v5. a(K(x,y),z * y,u) = a(K(x,R(y,x * R(y,z,u),w)),z * y,u). a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). a(K(R(x,y * z,u) \ 1,y),w,v5) = a(R(K(y,x),(x * y) * z,u),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). x != a(K(y \ 1,z),u,w) | a(K(z,y),u,w) = x. a(K(R(x,y,z),u),w,v5) = a(R(K(x,u),(u * x) * y,z),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). x != a(K(R(y,z,u),w),v5,v6) | a(K(y,R(w,z,u)),v5,v6) = x. a(K(x,R(y,z,u)),w,v5) = a(K(x,R(y,x * z,u)),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). a(K(x,R(y,x * R(y,z,u),w)),z * y,u) != v5 | a(K(x,y),z * y,u) = v5. a(K(x,y),z * y,u) = a(K(x,R(y,R(y,z,u),w)),z * y,u). a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). a(K(x,R(y,R(y,z,u),z * u)),z * y,u) != w | K(x,a(y,z,u)) = w. K(x,a(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,a(y,z,u)). a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). a(x,y,x) \ K(x,z) != u | x \ L(T(x,z),y,x) = u. x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,x * a(y,z,u)). a(K(x,y),z * y,u) != w | K(x,a(y,z,u)) = w. 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(K(x,y),z * y,u) != w | a(K(x,y),z,u) = w. 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,x) * (z * x) != u | z * R(x,y,x) = u. R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). (x * R(y,z,y)) \ ((y * x) * y) != u | L(T(y,x),z,T(y,x)) = u. L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). K(R(x,y,z),x * (u / w)) = K(R(x,y,z),(w / u) \ x). K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. K(x,R(x * y,z,u)) = K(R(x,y,z),R(x * y,y * z,u)). K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). a(x,y,x) \ (z / u) = (a(x,y,x) \ z) / u. (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). x != y * K(z,1 / z) | K(z,1 / z) * y = x. K(x,1 / x) * (y / x) = y / (1 / (1 / x)). K(x,y / (x / (x / z))) = K(x,y / z). T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). x != y * K(z \ u,y * (z / u)) | (z \ u) * (y / (z \ u)) = x. (x \ y) * (z / (x \ y)) = (1 / (y \ x)) * (z / (1 / (y \ x))). (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). (x * K(y,z)) * L(T(y,x),u,w) != v5 | L(y,u,w) * (x * K(y,z)) = v5. L(x,y,z) * (u * K(x,w)) = u * (K(x,w) * L(T(x,u),y,z)). x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). L(T(x,y),z,u) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). ((x * y) * K(z,L(u,y,x))) \ (x * (y * T(z,u))) = L(z,y,x). (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y,x). (x * (y * K(z,u))) \ (x * (y * T(z,u))) != w | L(z,y,x) = w. L(x,y,z) = L(x,y * K(x,u),z). L(x,y * K(x,z),u) = L(x,y,u). L(x,y,z) = L(x,K(u,x) * y,z). L(x,K(y,x) * z,u) = L(x,z,u). L(x,T(x,y) \ z,u) = L(x,x \ z,u). L(x,y \ z,x) != u | L(x,z / y,x) = u. L(x,y / T(x,z),x) = L(x,x \ y,x). L(x,y / T(x,z),x) != u | T((y * K(z,x)) / (y / T(x,z)),y * K(z,x)) = u. T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). T(L(x,x \ y,x),z) = L(T(x,z),x \ (y * K(u,x)),x). L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). L(T(x,y),x \ z,x) = L(T(x,y),x \ (K(u,x) * z),x). L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). L(T(x,y),T(z,x),x) != u | L(T(x,y),z,x) = u. L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). T(x,y) * ((x \ 1) * z) = L(K(x,y) * z,x \ 1,x). L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). L(x,y \ 1,y) = T(y,z) * ((y \ 1) * (K(z,y) * x)). T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). x != y * K(y * (z / u),z \ u) | ((z \ u) \ y) * (z \ u) = x. ((x \ y) \ z) * (x \ y) = ((1 / (y \ x)) \ z) * (1 / (y \ x)). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). K((1 / (1 / x)) * (x \ y),z) != u | K(y,z) = u. K(x,1 / y) = K((y \ x) * y,1 / y). K((x \ y) * x,1 / x) = K(y,1 / x). K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). 1 / L(K(x,y),z,u) = K(y,1 / L(1 / x,z,u)). K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,T(1 / L(1 / y,u,w),v5))). K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),T(x,z)). x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T(T(z \ (y \ z),T(y,u)),z)). T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). T(x,T(T(y \ z,u),y)) != w | T(x,T(z / y,u)) = w. T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). x != T(y,(z \ u) / u) | T(y,z \ 1) = x. T(x,((y \ 1) \ 1) \ 1) = T(x,T((y \ z) / z,T(y,u))). T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). x != T(y,((z \ 1) \ 1) \ u) | T(y,z \ u) = x. T(x,y \ 1) = T(x,T((y \ z) / z,T(y,u))). T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. T(T(x,x / y) / y,x) = x / y. T(T(x,y \ x) / y,x) = x / y. K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). T((1 / x) * y,x) != z | (((1 / x) * y) \ y) \ y = z. (((1 / x) * (x * y)) \ (x * y)) \ (x * y) = (1 / x) * (y * x). x != (y \ 1) \ (L(y,z,u) \ 1) | L(y,z,u) \ y = x. L(x \ 1,y,z) \ (x \ 1) = (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x). (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). x != T(y,T(1 / (z \ u),u)) | T(y,1 / (u / z)) = x. T(x,1 / (y / z)) = T(x,K(y,z / y) / (z \ y)). T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). K(x \ y,z \ y) * (y / x) = T(T(T(y,x \ y) / x,y),y / z). T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). x != K(y \ z,u) * (z / y) | T(z / y,T(u,y)) = x. T(x / y,T(z \ x,y)) = T(T(T(x,y \ x) / y,x),x / z). T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). T(x / y,x / z) = T(x / y,T(z \ x,y)). T(x / y,T(z \ x,y)) = T(x / y,x / z). T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). K(x / y,T(z,u)) \ T(K(y \ x,z),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). x != K(y,T(z,u)) \ w | K(z,T(y,u)) * w = x. K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(K(y / z,x) \ y,T(K(y / z,x),u)). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). K(K(x,y) \ z,T(K(x,u),w)) != v5 | K(x,K(z,T(u,w))) = v5. K(x / y,K(x,T(z,u))) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). x != K(y / z,K(y,u)) | K(y,K(z,u)) = x. K(x,K(y,T(z,u))) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y,K(z,T(x,u))). K(x \ y,x) * T(z,x \ y) != u | T(z,y / x) * K(x \ y,x) = u. T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). K(x,y) * T(z,x) != u | T(K(x,y) * z,x) = u. T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). x * y != T(z,u / w) * K(w \ u,w) | x \ ((u / w) \ (z * (w \ u))) = y. x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). 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)). L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). (T(x * y,z) / y) / x = K(1 / ((1 / y) / x),z). K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. K(1 / x,K(y,z)) != u | K(y,K(z,x)) = u. K(x,K(y,(1 / z) / u)) = (T(u * z,K(x,y)) / z) / u. (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. (T(x * y,K(z,u)) / y) / x != w | K(z,K((1 / y) / x,(x * y) / u)) = w. K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. x * (T(y / (y / z),u) \ z) = (x / T(y / (y / z),u)) * z. (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). x != K(y,1 / y) * z | z * K(y,1 / y) = x. (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). K(x,K(y,z * x)) * K(y,(z * x) \ x) = K(y,((z * x) \ x) * K(z * x,1 / z)). K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). x != K(y,((z * u) \ u) * K(z * u,1 / z)) | K(u,K(y,z)) * K(y,u / (u * z)) = x. K(x,K(y,z)) * K(y,x / (x * z)) = K(y,u \ (u / z)). K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). K(x,K(y,z)) * u != K(y,1 / (1 / (x \ (x / z)))) | K(y,(x / (1 / (1 / z))) / x) = u. K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). x != T(y,z) * (y \ K(y,u)) | K(y,u) * K(y,z) = x. K(x,y) * K(x,z) = (x \ K(x,y)) * T((x \ 1) \ 1,z). (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). L(T(x,y),z,u) \ (L(x,z,u) * (y * K(x,w))) != v5 | T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)) = v5. T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). x != K(y,z) * (y * u) | T(y,z) * u = x. T(x,L(y,z,u)) * K(y,w) = T(x * K(y,w),L(L(T(y,x),z,u),K(y,w),x)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). T(x * K(y,z),L(T(y,x),u,w)) != v5 | T(x * K(y,z),L(y,u,w)) = v5. T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). T(x,L(y,z,u)) * K(y,w) = T(x * K(y,w),L(y,z,u)). T(x,L(y,z,u)) * K(y,x) != w | x * a(u,z,K(y,x)) = w. x * a(y,z,K(u,x)) = T(x * K(u,x),L(u,z,y)). T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). x != y * (z * K(y,z)) | T(y,z) * z = x. T(x,y) * y = (x / (x * y)) \ T(x,y). (x / (x * y)) \ T(x,y) = T(x,y) * y. ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). (x / y) \ T(x,K(z,u)) != w | y * K(z,K(u,x)) = w. (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * y)) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,y,x * K(y,z)) = u. L(x \ 1,x,y * K(x,z)) = L(x \ 1,T(x,z),y). L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,x,y) = u. L(x \ 1,x,y) = L(x \ 1,T(x,z),y). L(x \ 1,T(x,y),z) = L(x \ 1,x,z). T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),T(x,w),y). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). L((x \ 1) * L((x \ 1) \ 1,y,z),x,u) = L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,w),u). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). T(x * L(x \ 1,x,y),z) != u | x * ((y * x) \ y) = u. x * ((y * x) \ y) = T(x,z) * ((y * T(x,z)) \ y). T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). x != y * (T(y,z) \ K(u,y)) | K(u,y) * K(z,y) = x. K(x,y) * K(z,y) = T(y,z) \ ((x * y) / x). T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). x != 1 / T((y * z) \ y,z) | ((y * z) \ y) \ 1 = x. ((x * y) \ x) \ 1 = K(y,y \ 1) / ((x * y) \ x). K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. x * y != (1 / ((z * u) \ z)) * K(u,u \ 1) | (((z * u) \ z) \ 1) / y = x. (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). K(x,T(y / z,T(u,z))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). x != y / K(z,T(u,w)) | y * K(u,T(z,w)) = x. K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). T(1 / (K(x,y) / x),y) = 1 / (1 / x). x * (1 / (1 / y)) = (1 / (K(y,x) / y)) * x. (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). L(T(x,y \ z),u,w) \ L(x,u,w) = K(y \ ((x \ z) * x),L(x,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. K((x * y) \ (z \ u),L(z,w,v5)) = K((x * (y * z)) \ u,L(z,w,v5)). K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) != w | K(L(z,y,x) \ u,L(z,y,x)) = w. K(L(x,y,z) \ u,L(x,y,z)) = K((z * y) \ (x \ ((z * y) * u)),L(x,y,z)). K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). K(x \ (y \ (x * z)),L(y,u,w)) != v5 | K(y \ z,L(y,u,w)) = v5. K(x \ y,L(x,z,u)) = K(L(x,z,u) \ y,L(x,z,u)). K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) != w | K((1 / x) \ u,L(x,y,z)) = w. K((1 / x) \ y,L(x,z,u)) = K(x \ ((x \ (1 / L(x,z,u))) \ y),L(x,z,u)). K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) != v5 | K((x \ u) \ w,L(x,y,z)) = v5. K((x \ y) \ z,L(x,u,w)) = K(x \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(x \ ((y \ z) \ u),L(y,w,v5)) = K(x \ ((z / y) \ u),L(y,w,v5)). K(x \ ((y / z) \ u),L(z,w,v5)) = K(x \ ((z \ y) \ u),L(z,w,v5)). x != L(T(y,z),u,w) \ L(y,u,w) | K(z,L(y,u,w)) = x. K(x \ y,L(z,u,w)) = K(x \ ((z \ y) * z),L(z,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ (y * z),L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). (x \ ((y \ (x * z)) * y)) * u != w | (z * K((x \ 1) \ (y \ z),y)) * u = w. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). T(x,(y \ z) \ u) = T(x,(((y \ 1) \ 1) \ z) \ u). T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) != w | T(x,y / (((z \ 1) \ 1) \ u)) = w. T(x,y / (((z \ 1) \ 1) \ u)) = T(T(x,K(y,z \ u)),(z \ u) \ y). T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). T(T(x,K(y,z)),z \ y) != u | T(x,y / z) = u. T(x,y / (z \ u)) = T(x,y / (((z \ 1) \ 1) \ u)). T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). K(x \ 1,x) * (L(x \ 1,y,z) \ 1) = (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). x != K(y \ 1,y) * (z \ 1) | z \ K(y \ 1,y) = x. L(x \ 1,y,z) \ K(x \ 1,x) = (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). x != a(y,z,K(u,u \ 1) * w) | a(y,z,w) = x. a(x,y,z) = ((x * (y * (K(u,u \ 1) * z))) \ ((x * y) * z)) * K(u,u \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,((z * (u * (w * K(y,y \ 1)))) \ ((z * u) * w)) \ 1,x). a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). a(x,K(y,y \ 1) * z,u) = a(x,z,u). a(x,y * K(z,z \ 1),u) = a(x,y,u). x / (y * ((x \ 1) \ 1)) = (1 / (1 / x)) / (y * x). (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). (1 / (1 / x)) / (x * y) = x / ((y * K(x,y)) * ((x \ 1) \ 1)). x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). x / (((x \ 1) \ 1) * y) = (1 / (1 / x)) / (x * y). (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). (1 / (1 / x)) / K(y,x) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). x != (1 / (1 / y)) / K(z,y) | T(1 / (1 / y),z) = x. T(1 / (1 / x),y) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). x != T(y,z * K(u,z)) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(x,(y \ 1) \ K(z,y)). T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). x * K(y,1 / y) != z | K(y,1 / y) * x = z. K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). K(x,y * (z * K(u,1 / u))) = K(x,y * z). K(x,y * (K(z,1 / z) * u)) = K(x,y * u). (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. K(1 / x,L(x,y,z)) = K(1 / x,x). (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). L(K(1 / x,x),y,z) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). x != L(K(1 / y,z),u,w) | K(1 / L(y,u,w),z) = x. K(1 / L(x,y,z),x) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). x != K(1 / L(y,z,u),y) | K(1 / y,y) = x. K(1 / x,x) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(1 / x,x) \ ((1 / L(x,y,z)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). L(x,y,z) * K(1 / u,u) = L(x * K(1 / u,u),y,z). L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). L(x,y \ z,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). T(x,y) * ((T(x,y) \ 1) * z) != u | L(z,x \ 1,x) = u. L(x,y \ 1,y) = L(x,T(y,z) \ 1,y). L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). ((x / y) \ T(x,y \ 1)) \ x = (x \ (y \ x)) * x. (((x \ (x / y)) * x) \ x) \ x = (x \ (y \ x)) * x. (((x \ y) * x) \ x) \ x = (x \ ((y \ x) \ x)) * x. K(x,L(y,((x \ z) * x) \ x,x / (((x \ z) * x) \ x))) = K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)). K(x,L(y,((x \ z) * x) \ x,(x \ z) * x)) = K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)). K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,((x \ z) * x) \ x,(x \ z) * x)). x != K(y,L(z,((y \ u) * y) \ w,v5)) | K(y,L(z,u \ w,v5)) = x. K(x,L(y,z \ x,(x \ z) * x)) = K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)). K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,(x \ z) * x)). x != K(y,L(z,u,(y \ w) * y)) | K(y,L(z,u,w)) = x. K(x,L(y,z \ x,z)) = K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)). K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,z)). K(x,L(y,((x \ z) * x) \ u,w)) != v5 | K(x,L(y,z \ u,w)) = v5. K(x,L(y,z \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,z)). K(x,R(1 / (1 / (1 / y)),y,z) \ x) = K(x,T((z / (y * z)) \ x,y)). K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). (x * L(y,x,y)) / T(T(x,L(y,z,u)),y) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). x != (y * L(z,u,z)) / T(T(y,z),w) | K(w,y) * L(z,u,z) = x. K(L(x,y,z),u) * L(x,u,x) = T(x,u * x) * a(z,y,K(T(u,x),T(x,u * x))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). x != K(y,z) * L(y,u,y) | L(T(y,z),u,y) = x. L(T(x,L(y,z,u)),y,x) = T(x,y * x) * a(u,z,K(T(y,x),T(x,y * x))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). x / T(1 / y,z) = (x / T(y \ 1,z)) * K(y \ 1,y). (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). 1 / (x \ K(y,1 / x)) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). T(x,y) != z | T(x,y * K(u,u \ 1)) = z. T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R((z * K(y \ 1,y)) \ 1,u,w)). T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). L(1 / x,y,z) \ 1 = L(x \ 1,y,z) \ K(x \ 1,x). L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. K(x,K(y,1 / y) / z) = K(x,1 / z). x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). x \ (y * K(x / y,z)) != u | (x \ y) * K(x / y,z) = u. (x \ y) * K(x / y,y) = (y * (x / y)) \ y. x \ (x / (x / y)) = (y * (x / y)) \ y. (x * (y / x)) \ x = y \ (y / (y / x)). x * ((y * (x / y)) \ y) = x / (x / y). (x / T(1 / y,z)) \ 1 = (x / T(y \ 1,z)) \ K(y,y \ 1). (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. x * K(1 / x,y) = 1 / (x \ K(y,1 / x)). 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). x != (y / z) * K(z / u,u) | y / (u * (z / u)) = x. x / (x * (y / x)) = 1 / ((x * ((x / y) \ 1)) / x). 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). (x / (x * (y / x))) \ 1 = (x * ((x / y) \ 1)) / x. (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). (L(x,y,1 / y) \ (y * x)) \ (y * x) = (1 / y) * (x * y). (x \ y) \ y != z | T(x,y / x) = z. T(L(x,y,1 / y),(y * x) / L(x,y,1 / y)) = (1 / y) * (x * y). K(x * y,1 / x) * ((1 / x) * (y * x)) = (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)). (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = K(x * y,1 / x) * ((1 / x) * (y * x)). x != K(y,z) * (z * u) | z * (K(y,z) * u) = x. (1 / x) * (K(x * y,1 / x) * (y * x)) = (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)). (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * (K(x * y,1 / x) * (y * x)). (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,T(1 / x,y)). (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,1 / x). (x * y) * (1 / y) = (y * x) * (T(L(x,y,1 / y),(y * x) / L(x,y,1 / y)) / (y * x)). (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (y * x) * (1 / x). (x * y) * (((1 / x) * (y * x)) / (x * y)) = (y * x) * (1 / x). (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))) = L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). x != (y * (z / y)) \ (K(y,y \ z) * T(z,u)) | K(z,u) = x. K(x,y) = L(K((z \ 1) \ (z \ x),y),z \ x,T(z,z \ x)). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). L(x,y \ z,T(y,y \ z)) != u | L(x,z / y,y) = u. L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). x \ (((y \ (x / z)) * y) * z) = K((x \ (y / (z \ 1))) \ 1,y). K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). x != y \ (((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). x != K((y * z) \ u,y) | K(z \ (y \ u),y) = x. K(x \ (y \ z),y) = K((y / (x \ 1)) \ z,y). K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. 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). (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. (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). 1 / (x \ K((y \ 1) \ z,x)) = T(x,(y \ x) \ (z * x)). T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ 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 | x * K(x,y \ z) = u. x * K(x,(y \ x) \ z) = T(x,(y \ 1) \ (x \ z)). T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). K(x,(y \ 1) \ z) = K(x,(y \ x) \ (x * z)). K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u). K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * (z / x)) \ u) != w | K(x,(y * z) \ (u * x)) = w. K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). K(x,(y * ((z \ x) \ x)) \ u) != w | K(x,(y * z) \ u) = w. K(x,(y * z) \ (u * x)) = K(x,(y * ((z \ x) \ 1)) \ u). K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). K(x,(((y \ x) \ 1) * (1 / (1 / z))) \ u) = K(x,((1 / (K(z,(y \ x) \ 1) / z)) * y) \ (u * x)). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). x != K(y,(z * (u / (1 / w))) \ v5) | K(y,(z * (u / (w \ 1))) \ v5) = x. K(x,(((y \ x) \ 1) * (1 / (z \ 1))) \ u) = K(x,((1 / (K(z,(y \ x) \ 1) / z)) * y) \ (u * x)). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) != w | K(x,((x \ z) * y) \ u) = w. K(x,((x \ y) * z) \ u) = K(x,(((y \ x) \ 1) * z) \ u). K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). R(x,y,z) * K(u,u \ 1) = R(K(u,u \ 1) * x,y,z). T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) != v5 | T(x,R(z \ K(y,y \ 1),u,w)) = v5. T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) != v6 | T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = v6. T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). x != T(y,R((z \ 1) \ 1,u,w)) | T(y,R(z,u,w)) = x. T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(z \ 1,u),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). ((x \ K(x,y)) * T(x,z)) \ 1 = (K(x,y) * K(x,z)) \ K(x,x \ 1). (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. (K(x,y) * K(x,z)) \ u != w | K(z,x) * (K(y,x) * u) = w. K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. K(x,y) * (y * (K(z,y) / y)) = ((y \ K(y,z)) * T(y,x)) \ 1. ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). x * (K(y,x) * (K(z,x) / x)) = ((x \ K(x,z)) * T(x,y)) \ 1. ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). T(x,x \ (L(x \ 1,y,z) \ 1)) = (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)). (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). x != K(y,1 / y) * (z * u) | z * (u * K(y,1 / y)) = x. x * (y * K(z,1 / z)) = (K(z,1 / z) * x) * y. (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). (x * y) * K(z,1 / z) = (K(z,1 / z) * x) * y. (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). ((1 / (1 / x)) \ y) * z = K(x,1 / x) * ((x \ y) * z). K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). (x / (1 / (1 / y))) * z = (x / y) * (z * K(y,1 / y)). (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). (x * y) / z != u | R(x / (z / y),z / y,y) = u. R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). K(x,1 / x) * (y / z) = y / (z * K(1 / x,x)). x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). x / (1 / (1 / L(y,z,u))) = K(y,1 / y) * (x / L(y,z,u)). K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). x != K(y,L(L(z \ 1,z,u),u * z,w)) | K(y,1 / L(z,u,w)) = x. K(x,1 / L(y,z,u)) = K(x,L(L(1 / y,y,z),z * y,u)). K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). T(L(x,y,z),u) = T(T(1 / (1 / L(x,y,z)),u),1 / x). T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). x * y != z * (z * (K(u,z) / z)) | x \ ((z \ 1) \ K(u,z)) = y. T(x,y) \ ((x \ 1) \ K(z,x)) = x * (T(x,y) \ (x * (K(z,x) / x))). x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). x * (K(y,x) / T(x,z)) = T(x,z) \ ((x \ 1) \ K(y,x)). T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != L(y,z,y) * R(K(y,u),w,v5) | L(y * R(K(y,u),w,v5),z,y) = x. L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). R(K(x,y),z,u) * L(x,w,x) = L(x * R(K(x,y),z,u),w,x). R(K(x,y),z,u) * L(x,y,x) != w | T(x,x * y) * a(K(x,y),z,u) = w. T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. x != ((y / (y * z)) \ 1) \ 1 | T(y / (y * z),z) = x. T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. T(x / (x * y),y) = x / (x * T(y,y \ 1)). x / (x * T(y,y \ 1)) = T(x / (x * y),y). T(x / (x * y),y) \ x = x * T(y,y \ 1). K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). K(x,y * (((1 / z) * u) * w)) = K(x,y * ((z \ L(u,1 / z,z)) * w)). K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). K(x,y * (((z \ 1) * u) * w)) = K(x,y * (((1 / z) * u) * w)). K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((((K(u,z) / u) \ 1) * z) * w)). K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * ((z * u) * w)) = K(x,y * ((z * (1 / (1 / u))) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). K((x \ y) / (x \ 1),1 / x) = K((y / x) / (x \ 1),1 / x). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). x != K(y / (z \ 1),u) | K(y / (1 / z),u) = x. K((x \ y) / (1 / x),1 / x) = K((y / x) / (x \ 1),1 / x). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). (x / (1 / y)) / x = 1 / (1 / ((x / (y \ 1)) / x)). 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. K(x,(y / (1 / (1 / z))) / y) = K(x,(y / z) / y). K(x,(y / (1 / (1 / z))) / y) != u | K(x,y / (y * z)) = u. K(x,y / (y * z)) = K(x,(y / z) / y). K(x,(y / z) / y) = K(x,y / (y * z)). ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). K(x \ (1 * ((y * (1 \ z)) / y)),T(u,x)) = K(((y * ((x \ 1) \ (x \ z))) / y) * (x \ 1),u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). K(((x * y) / x) / z,u) = K(((x * ((z \ 1) \ (z \ y))) / x) * (z \ 1),u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(((x * z) / x) / y,u). L(x \ 1,x,y) != z | (y * x) \ y = z. (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). L(x,y / x,z) != u | L(x,x \ y,z) = u. L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). K(x,K(y / z,(u * y) \ K(u,1 / u))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). K(x,L(y / z,z,u)) = K(x,T((u * z) \ (u * y),z)). K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). (K(x,y) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. K(x,y) * (K(z,y) * u) = (K(z,y) * K(x,y)) * u. (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). ((x * y) / x) \ (y * (K(x,y) * z)) = L(z,T(y,u) \ ((x * y) / x),T(y,u)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). x != ((y * z) / y) \ (z * u) | K(z,y) * u = x. K(x,y) * (K(y,x) * z) = L(z,T(x,u) \ ((y * x) / y),T(x,u)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). x != K(y,z) * (K(z,y) * u) | u = x. x = L(x,T(y,z) \ ((u * y) / u),T(y,z)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. L(x,K(y,z) * K(u,z),T(z,u)) = x. x != L(y,K(z,u) * K(w,u),T(u,w)) | x = y. L(x,K(y,z) * K(u,z),T(z,u)) != w | w = x. T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). 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). x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. 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 * y != T(z,u) * T(T(z,u) \ T(w,u),v5) | x \ T(z * T(z \ w,v5),u) = y. T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). T(x,y) \ T(z * T(z \ x,x),y) != u | K((x \ z) \ 1,T(x,y)) = u. K((x \ y) \ 1,T(x,z)) = K((T(x,z) \ T(y,z)) \ 1,x). K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). K(x \ y,T(y,z)) = K((T(y,z) \ T(x,z)) \ 1,y). K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). 1 / K(x \ y,T(y,z)) = K(y,T(x,z) \ T(y,z)). K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). x != 1 / K(y,T(z,u)) | K(z,T(y,u)) = x. K(x,T(y \ x,z)) = K(x,T(y,z) \ T(x,z)). K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). K(x,y \ T(x,z)) != u | K(x,y \ x) = u. K(x,T(y,z) \ x) = K(x,T(y \ x,z)). x != K(y,T(z,K(u,u \ y))) | K(y,z) = x. K(x,y \ x) = K(x,T(y,K(z,z \ x)) \ x). K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). K(x,(y * K(z \ x,z)) \ x) = K(x,(K(z \ x,z) * y) \ x). K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). x != K(y,(z * K(u \ y,u)) \ w) | K(y,z \ w) = x. K(x,y \ x) = K(x,(K(z \ x,z) * y) \ x). K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). K(x,(K(y,z) * u) \ x) != w | K(x,u \ (K(z,y) * x)) = w. K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). K(x,y \ (z * (x / z))) = K(x,y \ x). K(x,y \ ((z \ x) * z)) = K(x,y \ x). L(K(x,y),z,z \ x) = K(x,((z \ x) * (z / y)) \ x). K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ x). K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). K(x,y) \ (y * a(z,u,K(x,y))) = L(K(x,y),u,z) \ T(y,K(x,y)). L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). L(x \ 1,y,z) \ K(x \ 1,x) != u | (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = u. (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). L(x \ 1,y,z) \ K(x \ 1,x) != u | L(1 / x,y,z) \ 1 = u. L(1 / x,y,z) \ 1 = (x \ 1) * (L(x \ 1,y,z) \ x). (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). x * y != (z \ 1) * (L(z \ 1,u,w) \ z) | x \ (L(1 / z,u,w) \ 1) = y. (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) != u | T(x,x \ (L(x \ 1,y,z) \ 1)) = u. T(x,x \ (L(x \ 1,y,z) \ 1)) = x. T(x,x \ (((y * x) \ y) \ 1)) = x. (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). (x \ (1 / ((y * x) \ y))) * T(x,z) = T((1 / ((y * x) \ y)) * K(x,z),x). x \ ((1 / x) \ L(y,z,u)) = L(x \ ((1 / x) \ y),z,u). (x \ 1) \ (x \ L(y,z,u)) = L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u). L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). (x \ 1) \ (x \ L(y,z,u)) = L((x \ 1) \ (x \ y),z,u). K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)) = T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). T((x * K(y,x)) * (K(y,x) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). T(x * K(y,x),x \ K(x,y)) \ T(x,z) = T(x,z) * T(x \ K(x,y),(x \ K(x,y)) \ 1). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),x) = ((x \ 1) \ K(z,x)) \ T(x,y). ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). x != T(y,z) * T(y \ K(y,u),y) | (y \ K(y,u)) * T(y,z) = x. (x \ K(x,y)) * T(x,z) = ((x \ 1) \ K(y,x)) \ T(x,z). ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). x != K((y * z) \ 1,y * z) | K(y \ (z \ 1),z * y) = x. K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). R(T(x,x * y),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). K((x * (y \ z)) / x,L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). x != K(y / z,L(z,u,w)) | K(z \ y,L(z,u,w)) = x. K(x \ (x * (y \ z)),L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). K(x \ y,L(z,u,w)) = K(((x / z) \ y) / z,L(z,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) != v5 | K((x \ u) \ w,L(x,y,z)) = v5. K((x \ y) \ z,L(x,u,w)) = K((L(x,u,w) \ y) \ z,L(x,u,w)). K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) != w | K((1 / x) \ u,L(x,y,z)) = w. K((1 / x) \ y,L(x,z,u)) = K((1 / L(x,z,u)) \ y,L(x,z,u)). K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K((1 / x) \ y,x) != z | K(x * y,x) = z. K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). x != K((y / z) \ u,L(z,w,v5)) | K(y \ (u * z),L(z,w,v5)) = x. K(1 \ (x * y),L(y,z,u)) = K(x * L(y,z,u),L(y,z,u)). K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). K((x \ y) \ z,x) != u | K(x * (y \ z),x) = u. K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K((y \ z) \ u,L(y,w,v5)) | K(z \ (y * u),L(y,w,v5)) = x. K(x \ (y * z),L(y,u,w)) = K(L(y,u,w) * (x \ z),L(y,u,w)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x * L(y,z,u),L(y,z,u)) != w | K(x * y,L(y,z,u)) = w. K((x \ y) * z,L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). K(x \ (y * z),L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). K(x \ (y * z),L(y,u,w)) != v5 | K((y \ x) \ z,L(y,u,w)) = v5. K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). K((x \ y) \ (z * u),L(z,u,x)) != w | K(y \ (x * (z * u)),z) = w. K(x \ (y * (z * u)),z) = K(((y \ x) \ u) * z,L(z,u,y)). K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). K((x \ (y \ z)) \ u,L(x,u,y)) != w | K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = w. K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). K(x \ (y * z),L(z,u,w)) != v5 | K((x / z) \ y,L(z,u,w)) = v5. K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). K(((x \ y) / z) \ y,L(z,x \ y,x)) != u | K(((x \ y) / z) \ y,z) = u. K(((x \ y) / z) \ y,z) = K(((x \ y) \ y) * z,L(z,x \ y,x)). K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). x != K(y \ (z * (u * w)),u) | K(u * (y \ (z * w)),u) = x. K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,u,z)). K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). K(((x \ y) \ z) * u,L(u,z,x)) != w | K((u \ (x \ y)) \ z,(x * ((x \ y) / u)) \ y) = w. K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). K((x \ y) \ z,L(x,u,w)) != v5 | K((y \ z) * x,L(x,u,w)) = v5. K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). K(((x \ y) \ y) * z,L(z,x \ y,x)) != u | K(((x \ y) / z) \ y,z) = u. K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). x / (K(y * T(z,u),y) * x) = K(y,y * ((z \ u) \ u)). K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). K(x,x * T(y,z)) = K(x,x * ((y \ z) \ z)). K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) != u | K(z,T(y,x)) = u. K(x,T(x * T(y,z),u)) = K(x,T(x * ((y \ z) \ z),u)). K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). T(x \ ((x / y) * z),y) = x \ ((x / y) * ((y \ z) * y)). x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). x * y != T(1 / z,(u * z) / u) | x \ (z \ 1) = y. (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. 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. x * y != (z * u) * L(T(u,z),w,v5) | x \ ((L(u,w,v5) * z) * u) = y. 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,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). 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 / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). 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). 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 \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). x != K(y,L(z,u,w)) * K(z,y) | a(w,u,K(z,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)) = a(x,y,K(u * z,u)). a(x,y,K(z * u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(z * u,u)). a(x,y,K(z * u,u)) = a(x,y,K(z,u)). a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(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 \ 1,z * u)) = w. a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). a(x,y,K(z \ 1,u)) = a(x,y,K(z \ 1,u * z)). a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). a(x,y,K(z \ 1,u * z)) != 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,w)) = a(x,y,K(w,u \ z)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). x != K(y,z) \ (z * u) | T(z,y) * u = x. T(x,y * x) * a(z,u,K(y,x)) = L(K(y * x,x),u,z) \ T(x,K(y * x,x)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). x != T(y,z * y) * a(u,w,K(z,y)) | L(T(y,L(z,w,u)),z,y) = x. L(T(x,L(y,z,u)),y,x) = L(K(y * x,x),z,u) \ T(x,K(y * x,x)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ y = L(T(y,L(x,z,u)),x,y). L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. K(L(x,y,z),u * x) * x = L(T(x,L(u,y,z)),u,x). L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. T(x,L(y * x,z,u)) = L(T(x,L(y,z,u)),y,x). L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). L(T(x,L(y,z,u)),y,x) != w | T(x * a(u,z,K(y,x)),x * y) = w. T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. L(x,y,(z \ u) \ u) = L(x,y,T(z,z \ u)). L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). L(x,y / z,z) != u | L(x,z \ y,z) = u. L(x,T(y,y \ z) \ u,T(y,y \ z)) = L(x,u / T(y,y \ z),(y \ z) \ z). L(x,T(y,z) \ 1,T(y,z)) != u | L(x,T(y,z) \ 1,y) = u. L(x,T(y,y \ z) \ 1,y) = L(x,1 / T(y,y \ z),(y \ z) \ z). L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). L(x,1 / T(y,y \ z),(y \ z) \ z) != u | L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = u. L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). L(x,T(y,z) \ 1,y) != u | L(x,y \ 1,y) = u. L(x,y \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). x * y != L(z,((u \ w) \ w) \ 1,(u \ w) \ w) | x \ L(z,u \ 1,u) = y. ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. K(x,((y \ 1) * z) \ 1) = K(x,((((y \ x) \ x) \ 1) * z) \ 1). K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). K(x,(((y \ x) \ 1) * z) \ u) != w | K(x,((x \ y) * z) \ u) = w. K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). K(x,((x \ y) * z) \ 1) != u | K(x,(y * z) \ x) = u. K(x,((y \ x) * z) \ x) = K(x,((y \ 1) * z) \ 1). K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). K(x,((y \ 1) * (y / z)) \ 1) != u | L(K(x,z),y,y \ 1) = u. L(K(x,y),z,z \ 1) = K(x,((z \ x) * (z / y)) \ x). K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. L(K(x,y),z,z \ x) = L(K(x,y),z,z \ 1). L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). K(x,L(y,z,z \ 1)) = L(K(x,y),z,z \ x). L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). K(x,L(y,z,z \ x)) = K(x,L(y,z,z \ 1)). K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). x != K(y,L(z,u,w)) | K(y,L(z,u,(y \ w) * y)) = x. K(x,L(y,z,(x \ (z \ x)) * x)) = K(x,L(y,z,z \ 1)). K(x,L(y,z \ x,(x \ ((z \ x) \ x)) * x)) != u | K(x,L(y,z \ x,z)) = u. K(x,L(y,z \ x,z)) = K(x,L(y,z \ x,(z \ x) \ 1)). K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) != u | K((((y \ x) \ 1) * (y \ 1)) \ 1,z) = u. K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,L((x \ 1) \ (x \ z),x \ y,x)). K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). K(x,L((y \ 1) \ (y \ z),y \ x,y)) != u | K(x,z) = u. K(x,y) = K((((z \ x) \ 1) * (z \ 1)) \ 1,y). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) != u | (1 / (x \ y)) * (x \ T(y,z)) = u. (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). K((x * ((y \ 1) \ 1)) \ z,u) != w | K((x * y) \ z,u) = w. K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). x * y != K((((z \ u) \ 1) * (z \ 1)) \ 1,w) | x \ K(u,w) = y. (1 / (x \ y)) \ K(y,z) = x \ T(y,z). (1 / x) \ K(y,z) = (y / x) \ T(y,z). K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. ((1 / x) \ K(y,z)) \ x = K(z,((y / x) \ 1) \ x). ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). ((1 / x) \ K(y,z)) \ x != u | K(z,x \ ((x \ 1) \ y)) = u. K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). x * K(y,(z \ 1) \ x) = (1 / x) \ K(y,z * x). (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). (1 / x) \ K(y,z) = x * K(y,((z / x) \ 1) \ x). x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). x * K(y,((z / x) \ 1) \ x) != u | (T(z,y) / x) \ z = u. (T(x,y) / z) \ x = (1 / z) \ K(y,x). x \ y = (1 / (x \ T(y,z))) \ K(z,y). (1 / (x \ T(y,z))) \ K(z,y) = x \ y. K(x,y) / z = 1 / ((T(x,y) / z) \ x). 1 / ((T(x,y) / z) \ x) = K(x,y) / z. K(x,L(L(x,y,z),u,w) / v5) = K(x,(1 / (v5 \ T(L(L(x,y,z),u,w),v6))) \ K(v6,L(L(x,y,z),u,w))). K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). T(x,y) / ((1 / z) \ x) = K(x,y) / z. x != K(y,z) / z | 1 / T(z,y) = x. 1 / T(x,y) = T(y,x) / ((1 / x) \ y). T(x,y) / ((1 / y) \ x) = 1 / T(y,x). T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). x != K(y,L(L(y,z,u),w,v5) / v6) | K(y,v6 \ L(L(y,z,u),w,v5)) = x. K(x,y \ L(L(x,z,u),w,v5)) = K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))). K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). K(x,y \ K(z,L(L(x,u,w),v5,v6))) != v7 | K(x,y \ 1) = v7. K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). K(x,y \ L(L(T(x,x \ z),z,x),u,w)) != v5 | K((x \ z) \ T(z,x),y \ L((x \ z) \ T(z,x),u,w)) = v5. K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) != v5 | K(x,z \ 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)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. (a(x,y,L(x,z,u)) \ 1) \ w = w * a(L(x,z,u),y,L(x,z,u)). x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. x != (a(y,z,L(y,u,w)) \ 1) \ 1 | a(L(y,u,w),z,L(y,u,w)) = x. a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). x != R(L(y,z,u),w,L(y,z,u)) | L(R(y,w,y),z,u) = x. L(R(x,y,x),z,u) = L(x,z,u) * a(x,y,L(x,z,u)). L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. L(a(x,y,x),z * x,u) = L(a(x,y,x),L(x,z,u),u * z). L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. a(x,y,x) = L(a(x,y,x),z * x,u). L(a(x,y,x),z * x,u) = a(x,y,x). L(a(x,y,x),z,u) = a(x,y,x). L(a(x,L(y,z,u) \ y,x),y,z * u) != w | a(x,a(u,z,y),x) = w. a(x,a(y,z,u),x) = a(x,L(u,z,y) \ u,x). a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). L(a(x,y,x),z * y,u) != w | a(x,L(y,z,u),x) = w. a(x,L(y,z,u),x) = a(x,y,x). (x * y) * a(z,u,z) = x * (y * a(z,u,z)). a(x,a(y,z,u),x) \ x = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. x != a(y,z,y) \ y | L(y,z,y) = x. L(x,a(y,z,u),x) = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). a(x,y \ z,x) = a(x,(z \ y) \ 1,x). a(x,(y \ z) \ 1,x) = a(x,z \ y,x). x * a(x,y,x) = R(x,L(y,z,u),x). R(x,L(y,z,u),x) = x * a(x,y,x). x != y * a(y,z,y) | R(y,z,y) = x. R(x,y,x) = R(x,L(y,z,u),x). R(x,L(y,z,u),x) = R(x,y,x). L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(u,x) = T(T(u,u * x) * L(x,y,z),u). T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). 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). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y). 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)). a(x,y,K(z / L(u,y,x),u)) = K(z,(z / L(u,y,x)) * u). x != K(y,(y / L(z,u,w)) * z) | K(y,z * (L(z,u,w) \ y)) = x. K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). a(x,y,K(z / L(u,y,x),u)) = K(z,u * (L(u,y,x) \ z)). a(x,y,K(z \ u,z)) = K(u,z * (L(z,y,x) \ u)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). x != a(y,z,K(u \ w,u)) | a(y,z,K(w,u)) = x. a(x,y,K(z,u)) = K(z,u * (L(u,y,x) \ z)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). a(x,y,a(z,u,K(w \ 1,v5))) = a(x,y,K(v5 * (L(v5,u,z) \ (w \ 1)),w)). a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). a(x,y,K(z \ (u \ w),u)) != v5 | a(x,y,K(z \ w,u)) = v5. a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). a(x,y,K(z \ u,w)) != v5 | a(x,y,K(w,u \ z)) = v5. a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). 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). T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(a(z,u,w),x)) = K(x,L(w,u,z) \ w). K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). x != T((y \ 1) \ 1,z) / ((T(y,z) \ 1) \ K(u,y)) | K(y,u) = x. K(x,a(y,z,u)) = K(x,L(u,z,y) \ u). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). 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 * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). a(x,y,K(z / (L(u,y,x) \ u),u)) = K(z / (L(u,y,x) \ u),z). (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). 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)). K(x,x * a(y,z,u)) != w | a(K(x,y),z,u) = w. a(K(x,y),z,u) = a(y,z,K(x,u)). K(x,x * a(y,z,u)) != w | K(x,a(y,z,u)) = w. K(x,a(y,z,u)) = a(y,z,K(x,u)). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. a(x,y,K(z,u)) = a(K(x,u),y,z). a(K(x,y),z,u) = a(x,z,K(u,y)). a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. a(x,y,K(z,u)) = a(z,y,K(u,x)). a(x,y,K(z,u)) = a(u,y,K(x,z)). L(a(x,y,K(z,u)),K(x,u) * (y * z),K(u,x)) = (y * z) \ (K(u,x) * ((K(x,u) * y) * z)). L(a(x,y,K(z,u)),w,v5) != v6 | a(x,y,K(z,L(u,w,v5))) = v6. a(x,y,K(z,L(u,K(x,u) * (y * z),K(u,x)))) = (y * z) \ (K(u,x) * ((K(x,u) * y) * z)). a(x,y,K(z,u)) = (y * z) \ (K(u,x) * ((K(x,u) * y) * z)). (x * y) \ (K(z,u) * ((K(u,z) * x) * y)) = a(u,x,K(y,z)). x != a(y,z,K(u,w)) | L(K(w,u),z,y) * K(u,w) = x. L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). x != a(y,z,K(z \ 1,u)) | 1 = x. 1 = a(x \ 1,x,K(y,z)). a(x \ 1,x,K(y,z)) = 1. x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(z,w))). K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). x != L(K(y,K(z,u)),w,v5) | K(z,K(u,L(y,w,v5))) = x. K(x,K(y,L(z,u,w))) = a(z,u,K(w,K(x,y))) * K(z,K(x,y)). a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. a(x,y \ z,K(y,K(u,w))) * K(x,K(u,w)) = K(u,K(w,z \ (y * ((y \ z) * x)))). K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u \ 1))) = v5. K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u,1 / w))). K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). K(x,L(y,z,K(u,w))) = K(x,y) * a(x,z,K(y,K(u,w))). K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). x != K(y,L(z,u,w)) | L(K(y,z),z * u,w) = x. L(K(x,y),y * z,K(u,w)) = K(x,y) * a(x,z,K(y,K(u,w))). K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). K(x,y) * z != L(K(x,y),u,K(w,v5)) | a(x,u,K(y,K(w,v5))) = z. a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y,K(z,K(u,w))) = a(x,z \ y,K(z,K(u,w))). a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). x != a(y,z,K(u,K(w,v5))) * K(y,K(w,v5)) | K(w,K(v5,L(y,z,u))) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,u \ (w * ((w \ u) * z)))). K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). a(x,y,K(z,K(u,w))) != v5 | a(z,y,K(x,K(u,w))) = v5. a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(w,x))). a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). x != a(y,z,K(u,K(w,v5))) | K(u,K(v5,L(w,z,y))) * K(u,K(w,v5)) = x. K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(y,z) * K(u,y),x) = w. K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). L(K(x,y),z,z \ 1) = K(x,y). L(K(x,y / z),z,z \ 1) != u | K(x,y * (z \ 1)) = u. K(x,y * (z \ 1)) = K(x,y / z). K(x,L(y,z,z \ 1)) = K(x,y). L(x,y,(z \ 1) \ 1) != u | L(x,y,z) = u. L(K(x,y),z \ 1,z) = K(x,y). x * y != L(K(z,u),w,w \ 1) | x \ K(z,u) = y. (1 / x) \ K(y,z) = x * K(y,z). x * K(x,y / z) = T(x,y * (1 / z)). T(x,y * (1 / z)) = x * K(x,y / z). T(x,y / z) = T(x,y * (1 / z)). T(x,y * (1 / z)) = T(x,y / z). T(x,y * (1 / (1 / z))) != u | T(x,y * z) = u. T(x,y * z) = T(x,y / (1 / z)). T(x,y / (1 / z)) = T(x,y * z). T(x,y) = T(x,(y / (1 / z)) / z). T(x,(y / (1 / z)) / z) = T(x,y). x / T(x,y / z) = K(y * (1 / z),x). K(x * (1 / y),z) = z / T(z,x / y). K(x / y,z) = K(x * (1 / y),z). K(x * (1 / y),z) = K(x / y,z). K(x * (1 / (1 / y)),z) != u | K(x * y,z) = u. K(x * y,z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x * y,z). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). x != (1 / y) * K(z,1 / y) | K(z,1 / y) / y = x. K(x,1 / y) / y = (x / y) / ((x / y) / (1 / y)). (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). x / (x / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1. ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). T(x,K(y,z / y) / (z \ y)) != u | T(x,1 / (y / z)) = u. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. (x / ((x \ y) \ 1)) / x = T((x / (1 / (x \ y))) / x,1 / (y / x)). T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. (x / (1 / y)) * (1 / T(y,x)) = (T(x,y) / (1 / y)) * (1 / y). (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). T(x,y) / (1 / T(y,x)) = x / (1 / y). T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | (x / ((x \ y) \ 1)) / x = z. (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). x * y != K(z,L(u,w,w \ 1)) | x \ K(z,u) = y. x \ K(y,z) = (K(z,y) * x) \ 1. (K(x,y) * z) \ 1 = z \ K(y,x). K(x,(1 / y) * z) = K(x,y \ z). K(x,y * z) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,y * z). x != (y / ((z * u) / z)) * K(z,u) | y / u = x. x / y = (1 / (x / ((z * y) / z))) \ K(z,y). (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. (1 / x) \ K(y,z) != u | (K(z,y) / x) \ 1 = u. (K(x,y) / z) \ 1 = z * K(y,x). 1 / (x * K(y,z)) = K(z,y) / x. (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). (1 / x) \ K(y,z) = x * K(y,(u \ 1) \ (u \ z)). x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). x * K(y,T((z \ 1) \ u,w)) = (1 / x) \ K(y,T(z * u,w)). (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). (1 / x) \ y != x * K(z,u) | K(z,u) = y. K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). K(x,T(y \ x,z)) != u | K(x,T(y,z) \ x) = u. K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). K(x,T((y \ z) \ 1,z) \ x) != u | K(x,y \ ((((y \ z) \ 1) \ y) * x)) = u. K(x,y \ ((((y \ z) \ 1) \ y) * x)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). x != K(y,z \ ((u \ z) * y)) | K(y,T(u \ y,z)) = x. K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ 1) \ z,u)) != w | K(x,T(y * z,u)) = w. K(x,T((y \ z) * x,y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). x != T(y,z) * K(y,u) | K(y,z) * T(y,u) = x. K(x,y) * T(x,z) = (K(z,x) / T(x,y)) \ 1. (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x / (x / y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. (K(x,y) * K(z,y)) \ 1 != u | T(K(y,z) * K(y,x),K(x,y) * K(z,y)) = u. T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. 1 \ 1 = K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)). K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. 1 = K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)). K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). L(x,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). (K(x,y) * K(z,y)) * u != w | K(z,y) * (K(x,y) * u) = w. K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). K(x,y) * (K(y,x) * z) = L(z,K(y,u) * K(y,x),K(u,y) * K(x,y)). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). x = L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). x != K(K(y,z) * K(y,u),K(u,y) * K(z,y)) | 1 = x. 1 = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. 1 / (x / y) = K(z,y) / (x / T(y,z)). K(x,y) / (z / T(y,x)) = 1 / (z / y). K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). K(x,y) / (K(x,y) / y) = 1 / (1 / y). T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / ((x * y) / x)) \ (y \ 1) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). x != (1 / ((y * z) / y)) \ (z \ 1) | (T(z,y) \ 1) * z = x. (T(x,y) \ 1) * x = (1 / x) * (1 / (1 / ((y * x) / y))). (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). K(x,1 / x) * ((T(L(x,y,z),u) \ 1) * L(x,y,z)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). x != K(y,1 / y) * (z * L(y,u,w)) | z * L((y \ 1) \ 1,u,w) = x. (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (1 / (1 / (1 / L(y,z,u))))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). x != K(y,1 / (z / (z / (1 / u)))) | K(y,T(u,z)) = x. K(x,T(L(y,z,u),1)) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). L(K((x \ 1) \ y,z),x \ 1,x) != u | K(x * y,z) = u. K(x * y,z) = K((x \ 1) \ y,z). K((x \ 1) \ y,z) = K(x * y,z). x * y != K((z \ 1) \ u,w) | x \ K(z * u,w) = y. ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ 1 = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. x != ((y \ K(y,z)) * T(y,u)) \ 1 | y * (K(z,y) / T(y,u)) = x. x * (K(y,x) / T(x,z)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). a(x,y,K(z / (L(u,y,x) \ u),u)) = K((L(u,y,x) \ u) \ z,z). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). a(x,y,K(z / (L(u,y,x) \ u),u)) = K(z * (u \ L(u,y,x)),z). a(x,y,K((z / u) \ z,z)) = K(u * (z \ L(z,y,x)),u). a(x,y,K(z,u)) = K(z * (u \ L(u,y,x)),z). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). x / (a(y,z,K(u,w)) * x) = K(u,u * (w \ L(w,z,y))). K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). x != y / (a(z,u,K(w,v5)) * y) | a(z,u,K(v5,w)) = x. a(x,y,K(z,u)) = K(u,u * (z \ L(z,y,x))). K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). x * a(y,z,K(u,x)) = T(x,x * (u \ L(u,z,y))). T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) != v5 | a(x,K(w,w \ 1) / a(y,z,u),x) = v5. a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,((z * u) * w) \ (z * (u * (w * K(y,y \ 1)))),x). a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) != v5 | a(x,K(w,w \ 1) / a(y,z,u),x) = v5. a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,w \ ((z * u) \ (z * (u * (w * K(y,y \ 1))))),x). a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). R(x,y,a(z,u,z)) = x. R(T(x,a(y,z,u) \ x),(a(y,z,u) \ 1) * x,a(x,a(y,z,u) \ 1,x)) != w | (((a(y,z,u) \ 1) * x) * a(x,u \ L(u,z,y),x)) \ ((x * (a(y,z,u) \ 1)) * x) = w. (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). R(x,y,T(a(z,u,z),w)) = x. x / (y * T(a(z,u,z),w)) = (x / T(a(z,u,z),w)) / y. (x / T(a(y,z,y),u)) / w = x / (w * T(a(y,z,y),u)). x != a(y,z,K(u,w)) | a(u,z,K(w,y)) = x. a(x,y,K(z,u)) = K(x,a(u,y,z)). K(x,a(y,z,u)) = a(x,z,K(u,y)). x \ 1 != (1 / y) \ K(z,u) | K(u,z) / y = x. K(x,y) / z = K(x,y) * (1 / z). K(x,y) * (1 / z) = K(x,y) / z. K(x,K(y,a(z,u,w))) = a(y,u,K(x,K(w,z))). x * (1 / T(y,z)) != u | x * (K(z,y) / y) = u. K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). K(x,K(y,a(z,u,w))) = a(y,u,K(w,K(x,z))). ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). x != a(y,z,K(u,K(w,v5))) | a(w,z,K(y,K(v5,u))) = x. a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). K(x,K(y,a(z,u,w))) = a(x,u,K(y,K(z,w))). T(1 / (x * K(y,z)),K(z,y)) != u | 1 / (K(y,z) * x) = u. 1 / (K(x,y) * z) = (1 / z) * K(y,x). K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). (x * R(y,z,y)) \ ((y * x) * y) != u | L(T(y,x),z,y) = u. L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). (a(x,y,x) \ z) / u = z / (u * T(a(x,y,x),w)). x / (y * T(a(z,u,z),w)) = (a(z,u,z) \ x) / y. x != (a(y,z,y) \ u) / w | a(y,z,y) \ (u / w) = x. a(x,y,x) \ (z / u) = z / (u * T(a(x,y,x),w)). x / (y * T(a(z,u,z),w)) = a(z,u,z) \ (x / y). x / (y * a(z,u,z)) = a(z,u,z) \ (x / y). x / R(y,z,y) = a(y,z,y) \ (x / y). a(x,y,x) \ (z / x) = z / R(x,y,x). (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). (((x * y) \ x) \ 1) / ((y \ 1) \ 1) != z | (1 / ((x * y) \ x)) / y = z. (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). x != y / (z * ((u * z) \ u)) | (z * ((u * z) \ u)) \ y = x. (x * ((y * x) \ y)) \ 1 = (1 / ((y * x) \ y)) / x. (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. (1 / ((x * y) \ x)) / y != z | y \ (1 / ((x * y) \ x)) = z. x \ (1 / ((y * x) \ y)) = (x * ((y * x) \ y)) \ 1. (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). (x * ((y * x) \ y)) \ T(x,z) = ((x * ((y * x) \ y)) \ 1) * T(x,z). ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). (x \ (1 / ((y * x) \ y))) * T(x,z) != u | T((1 / ((y * x) \ y)) * K(x,z),x) = u. T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). T(T(1 / ((x * y) \ x),z),y) != u | T(1 / ((x * y) \ x),z) = u. T(1 / ((x * y) \ x),z) = (y * ((x * y) \ x)) \ T(y,z). (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). (x * ((y * x) \ y)) \ T(x,z) != u | 1 / ((y * T(x,z)) \ y) = u. 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). K(x,T(y \ 1,z) \ x) != u | K(x,T(y * x,z)) = u. K(x,T(((y * z) \ y) * x,u)) = K(x,1 \ (((y * T(z,u)) \ y) * x)). K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). K(x,((y * T(z,u)) \ y) * x) = K(x,T(((y * z) \ y) * x,u)). K(x,x * ((y * T(z,u)) \ y)) = K(x,T(((y * z) \ y) * x,u)). K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. K(x,T(y,z) \ x) = K(x,T(((u * y) \ u) * x,z)). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). x != K(y,T(z,u) \ y) | K(y,T(z \ y,u)) = x. K(x,T(y \ x,z)) = K(x,T(((u * y) \ u) * x,z)). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). K(x,T((y \ z) * x,u)) = K(x,T((z \ y) \ x,u)). K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. K(x,(y / z) \ x) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). K(x,T((y \ z) * x,z)) != u | K(x,T((y \ z) * x,y)) = u. K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). K(x,T(y * x,z)) = K(x,(z / (z * y)) \ x). K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). K(T(x,y),z \ T(x,u)) != w | K(x,T(z \ T(T(x,v5),u),y)) = w. K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). K(x,T(y \ T(T(x,z),u),w)) != v5 | K(x,T(y \ x,w)) = v5. K(x,T((y / (y * z)) \ x,u)) = K(T(x,u),T(z * T(x,u),y)). K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). K(x,T(T(y * T(x,z),u),w)) != v5 | K(x,T(T(x * y,u),w)) = v5. K(x,T(T(x * y,z),u)) = K(x,T((z / (z * y)) \ x,u)). K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). K(x,T((y / (z * y)) \ x,z)) != u | K(x,R(1 / (1 / (1 / z)),z,y) \ x) = u. K(x,R(1 / (1 / (1 / y)),y,z) \ x) = K(x,T(T(x * T(y,z),z),y)). K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). x != K(y,R(1 / z,u,w) \ v5) | K(y,R(z \ 1,u,w) \ v5) = x. K(x,R((1 / (1 / y)) \ 1,y,z) \ x) = K(x,T(x * T(y,z),z)). K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). x != K(y,R(1 / z,z,u) \ y) | R(K(y,y * z),z,u) = x. R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). R(R(K(x,y),z,u),x * w,v5) != v6 | R(K(R(x,w,v5),y),z,u) = v6. R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). K(x,T(x * ((y \ z) \ z),u)) != w | K(x,T(x * T(y,z),u)) = w. K(x,T(x * T(y,z),z)) = K(x,((y \ z) / z) \ x). K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),((u \ w) / w) \ x). K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). K(R(x,y,z),(u / w) \ x) != v5 | K(R(x,y,z),x * (w / u)) = v5. K(R(x,y,z),x * (u / (w \ u))) = K(R(x,y,z),T(x * T(w,u),u)). K(R(x,y,z),x * u) = K(R(x,y,z),T(x * T(u,w),w)). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). K(R(x,y,z),T(x * T(u,w),w)) != v5 | R(K(R(x,y,z),x * u),u,w) = v5. R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). x != K(R(y,z,u),w) | K(y,R(w,z,u)) = x. K(x,R(x * y,z,u)) = K(x,R(R(x * y,z,u),y,w)). K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). K(x,R(R(x * y,y * z,u),y,z)) != w | K(x,R(x * y,z,u)) = w. K(x,R(x * y,z,u)) = K(x,R(x * y,y * z,u)). K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ u = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x \ K(x,y)) * T(x,z)) * u = (x * (K(y,x) / T(x,z))) \ u. (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(x,y * (K(z,u) / T(u,w)),v5) != v6 | L(x,y * (T(u,z) \ K(w,u)),v5) = v6. L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). K(x,y) * T(z,T(x * z,y)) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). x != K(y,z) * T(u,T(y * u,z)) | T(u,y * u) * K(y,z) = x. T(x,y * x) * K(y,z) = T(((y \ K(y,z)) \ 1) \ (T(y,y \ 1) * x),T(y,y \ 1) * x). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(x,T(y,y \ 1) * z) != u | T(x,y * z) = u. T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). T(x,y * x) * K(y,z) = T(K(y,z) * x,y * x). T(x,x * y) * K(y,z) = T(K(y,z) * x,y * x). T(x,x * y) * a(z,u,K(w,y)) = T(K(y,y * (w \ L(w,u,z))) * x,y * x). T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). T(x,x * y) * a(z,u,K(w,y)) = T(a(z,u,K(w,y)) * x,y * x). R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). x != K(y,(z / u) \ y) | K(y,y * (u / z)) = x. K(x,x * (((y * z) * u) / (z * u))) = R(K(x,x * y),y * z,u). R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). K(x,R(x * y,y * z,u)) != w | K(x,R(x * y,z,u)) = w. K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). K(x,x * R(y,z,u)) = K(x,R(x * y,z,u)). K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). T(x,x * R(y,z,u)) = T(x,R(x * y,z,u)). T(x,x * R(y,z,u)) != w | L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = w. L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). L(T(x,y),z,T(x,u)) != w | L(T(x,y),z,x) = w. L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). L(T(x,R(y,z,u)),y,x) != w | T(x,x * y) * a(K(x,y),z,u) = w. T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). T(x,x * y) * a(z,u,K(w,y)) != v5 | T(a(z,u,K(w,y)) * x,y * x) = v5. T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). K(x,L(y \ L(y,z,u),y,w)) != v5 | K(x,y \ L(y,z,u)) = v5. K(x,y \ L(y,z,u)) = K(x,a(u,z,y) \ 1). K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). x != T(y,y * (z \ L(z,u,w))) | y * a(w,u,K(z,y)) = x. x * a(y,z,K(u,x)) = L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) != w | T(x,a(y,z,u) \ x) = w. T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). x * a(y,z,K(u,x)) = T(x,a(y,z,u) \ x). x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. x * a(x,y,K(z,u)) = T(x,a(z,y,u) \ x). T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). T(T(x,x * y),a(z,u,y) \ x) != w | T(x,L(y * x,u,z)) = w. T(x,L(y * x,z,u)) = T(x,R(x * y,z,u)). T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). T(T(x,y),a(z,u,y) \ x) != w | T(x,L(y,u,z)) = w. T(x,L(y * (z * (u \ 1)),w,v5)) = T(x,L(y * (z * (1 / u)),w,v5)). T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). T(L(K(x,y),z,u),T(u * z,K(x,y))) = T(u * z,K(x,y)) \ (u * (z * K(x,y))). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)) = K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). K(x * y,K(z,u)) = K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). K(x,K(y,z * u)) = K(T(z * u,K(x,y)),T(z * u,K(x,y)) \ (z * (u * K(x,y)))). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). L(T(K(x,y),T(z * u,K(x,y))),u,z) = T(z * u,K(x,y)) \ (z * (u * K(x,y))). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),T(x * y,K(z,u))),y,x). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). K(x,K(T(y,K(x,z)),u)) != w | K(x,K(y,u)) = w. K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x,K(y,z)) * L(K(y,u),w,v5) != v6 | T(x * L(K(y,u),w,v5),K(y,z)) = v6. T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = (x * T(y,K(z,u))) * K(z,K(u,x * y)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. K(x,R(y * K(z,x),u,w)) != v5 | K(x,R(K(z,x) * y,u,w)) = v5. K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(v5,x) * u,w)). x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(v5,x) * y,u,w)). T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(v5,x) * u,w)). T(x,R(y,K(z,x) * u,w)) = T(x,R(K(v5,x) * y,u,w)). T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(v5,x) * u,w)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(v5,x) * u,w)). x != T(y,R(z,K(u,y) * w,v5)) | T(y,R(z,w,v5)) = x. T(x,R(x \ y,z,u)) = T(x,R(T(x,w) \ y,z,u)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). L(x,y / T(1 / z,u),w) != v5 | L(x,y / T(z \ 1,u),w) = v5. L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). L(T(x,R(x \ y,z,u)),y / T(x,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). x != L(T(y,z),u / T(y,w),y) | L(T(y,z),y \ u,y) = x. L(T(x,R(x \ y,z,u)),x \ y,x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). x != L(T(y,R(z,u,w)),z,y) | T(y,R(y * z,u,w)) = x. T(x,R(x * (x \ y),z,u)) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). T(x,R(x * y,z,u)) != w | T(x,L(y * x,z,u)) = w. T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). T(x,L(y * (z * (1 / u)),w,v5)) != v6 | T(x,L(y * (z * (u \ 1)),w,v5)) = v6. T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). T(x,L(y,z,u)) = T(x,R(y,z,u)). T(x,R(y,z,u)) = T(x,L(y,z,u)). x * y != T(z,R(u,w,v5)) | x \ T(z,L(u,w,v5)) = y. x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). x / T(x,L(y,z,u)) = K(R(y,z,u),x). K(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,R(y,z,u)) = K(x,L(y,z,u)). x != K(y,L(z,u,w)) | L(K(y,z),u,w) = x. L(K(x,y),z,u) = K(x,R(y,z,u)). K(x,y / (z * u)) = K(x,L((y / u) / z,z,u)). K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). K(x,T(y / (z * u),z)) = K(x,L(z \ (y / u),z,u)). K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). x != K(y,R(z,u,w)) | R(K(y,z),u,w) = x. R(K(x,y),z,u) = L(K(x,y),z,u). K((x * y) / z,u) = L(K(x / (z / y),u),x,y). L(K(x / (y / z),u),x,z) = K((x * z) / y,u). K(R(x,y,z) \ 1,u) = L(K(x \ 1,u),y,z). L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. L(K(x,y),z,T(u,K(x,y) * z)) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). K(L(x,y,z) \ 1,u) = K(R(x,y,z) \ 1,u). K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). ((x \ 1) \ K(L(y,z,u) \ 1,x)) \ ((x \ 1) \ 1) = K(x,R(y,z,u) \ 1). K(x,L(y,z,u) \ 1) = K(x,R(y,z,u) \ 1). K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). K(x,T((y * z) / u,u / z) \ 1) = K(x,L((u / z) \ y,u / z,z) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). x != K(y,T(z,u) \ 1) | K(y,T(z \ 1,u)) = x. K(x,T(((y * z) / u) \ 1,u / z)) = K(x,L((u / z) \ y,u / z,z) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). x != K(y,T((z / u) \ 1,w)) | K(y,T(u / z,w)) = x. K(x,T(y / (z * u),y / u)) = K(x,L((y / u) \ z,y / u,u) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). K(x,(y * z) \ (y * (u / y))) = K(x,T(u / (z * y),u / y)). K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). 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). T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). x * y != T(z * T(u,K(w,v5)),K(v5,L(w,u,z))) | x \ ((z * T(u,K(w,v5))) * K(w,K(v5,z * u))) = y. x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). 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(z,z \ u)) = T(y,K(z \ u,z) * x). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). x \ T(y * T(x,K(z,u)),K(z,1 / u)) = T(y,K(1 / u,z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(1 / u,z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. T(x,K(y,z) * u) = T(x,K(1 / y,z) * u). T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). T(x,K(y,z) * u) = T(x,K(y \ 1,z) * u). T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). x * y != T(z,K(u \ 1,w) * v5) | x \ T(z,K(u,w) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). T(x,y * K(z \ 1,u)) = T(x,K(z,u) * T(y,K(u,z \ 1))). T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). T(x,y * K(z,u)) = T(x,y * K(z \ 1,u)). T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). K(x,K(y,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). K(x,y * T(y \ (z \ y),u)) = K(x,K(z,u) * (z \ y)). K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. K(x,(y * K(z,u)) \ w) = K(x,(K(z,u \ K(u,y)) * y) \ w). K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). K(x,K(y * K(z,y),u) * z) = K(x,(z * y) * T((z * y) \ ((y * K(z,y)) \ (z * y)),u)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). 1 / K(x,y * K(z,u)) = K(y * K(z \ 1,u),x). K(x * K(y,z),u) = K(x * K(y \ 1,z),u). K(x * K(y \ 1,z),u) = K(x * K(y,z),u). K(x * K((x \ y) \ 1,z),T(u,y)) != w | K(y * T(x / y,z),u) = w. K(x * T(y / x,z),u) = K(y * K(y \ x,z),T(u,x)). K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). T(x,K(y,z) * u) = T(x,K(z \ y,z) * u). T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). x * y != T(z,K(u \ w,u) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z \ y,z) * u). K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). T(x,K(y,z) * u) = T(x,K(z * y,z) * u). T(x,K(y * z,y) * u) = T(x,K(z,y) * u). K(x,K(y,z) * u) = K(x,K(z \ y,z) * u). K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). K(x,T(y,y \ z) \ u) = K(x,K(z,y) * (y \ u)). K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). K(x,T(y,z) \ u) = K(x,T(y,y * z) \ u). K(x,T(y,y * z) \ u) = K(x,T(y,z) \ u). K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). K(x,T(y * K(z,y),z) \ u) = K(x,T(y * K(z,y),z * y) \ u). K(x,T(y * K(z,y),z * y) \ u) = K(x,T(y * K(z,y),z) \ u). K(x,L(y,z,y) \ u) = K(x,T(y * K(z,y),z) \ u). K(x,T(y * K(z,y),z) \ u) = K(x,L(y,z,y) \ u). K(x,y \ z) = K(x,L(y,u,y) \ z). K(x,L(y,z,y) \ u) = K(x,y \ u). K(x,y \ z) = K(x,R(y,u,y) \ z). K(x,R(y,z,y) \ u) = K(x,y \ u). L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). K(x,(y * z) \ u) = K(x,T(z * y,z) \ u). K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). K(x,T(y,z) \ u) = K(x,((z \ y) * z) \ u). K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). K(x,(y * z) \ (y * (u / y))) != w | K(x,T(u / (z * y),u / y)) = w. K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). L(K(x,T(y,z) \ (z \ u)),z \ u,z) = K(x,(L(y,z,y) * z) \ u). K(x,(y * T(z,y)) \ u) = K(x,(L(z,y,z) * y) \ u). K(x,(L(y,z,y) * z) \ u) = K(x,(z * T(y,z)) \ u). K(x,(L(y,z,y) * z) \ u) = K(x,(y * z) \ u). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). T(x,K(y,z) * u) = T(x,K(z,y) * u). x != T(y,K(z * u,z) * w) | T(y,K(u,z) * w) = x. T(x,K(y,z) * u) = T(x,K(z,z * y) * u). T(x,K(y,y * z) * u) = T(x,K(z,y) * u). x * y != T(z,K(u,w) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). T(x,T(y,z) * u) = T(x,K(z,y) * (y * u)). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. T(x,y * K(z,z * u)) = T(T(x,K(y,K(z,u))),K(u,z) * y). T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. T(x,y * K(z,u)) = T(x,y * K(u,u * z)). T(x,y * K(z,z * u)) = T(x,y * K(u,z)). T(x,((y * z) / y) * u) = T(x,T(z,y) * u). T(x,y * z) = T(x,T(T(y,u),u) * z). T(x,T(T(y,z),z) * u) = T(x,y * u). T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. T(x,y * T(T(z,u),u)) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). T(x,y * z) = T(x,y * T(T(z,u),u)). T(x,y * T(T(z,u),u)) = T(x,y * z). T(x,y * T(z,u)) = T(x,y * ((u * z) / u)). T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). x / T(x,y * T(z,u)) = K(y * ((u * z) / u),x). K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). 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 * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). K(x \ K(y,z \ 1),u) = K(x \ (z * T(z \ 1,y)),u). K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). ((x \ 1) \ K(y \ K(z,u \ 1),x)) \ ((x \ 1) \ 1) = K(x,y \ K(u \ 1,z)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u \ 1,z)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). K(x,K(y,z) * u) = K(x,K(z,y) * u). x != K(y,K(z \ u,z) * w) | K(y,K(u,z) * w) = x. K(x,K(y,z) * u) = K(x,K(z,z \ y) * u). K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). x != K(y,K(z \ 1,u) * w) | K(y,K(z,u) * w) = x. K(x,K(y,z) * u) = K(x,K(z,y \ 1) * u). K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). K(x,T(y,z) \ u) = K(x,K(y,z) * (y \ u)). K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). K(x,T(y / z,T(u,z))) = K(x,K(u,z \ y) * (y / z)). K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). K(x,K(y,z \ u) * w) = K(x,K(u \ z,y) * w). K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). K(x,y * K(z,u \ 1)) = K(x,K(u,z) * T(y,K(z,u))). K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). K(x,(y * K(z,u)) \ w) = K(x,(K(u \ K(u,y),z) * y) \ w). K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). K(x,(y * K((z \ 1) \ 1,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z \ 1)) \ w). K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(K(y \ 1,z) * u) \ 1) = K(x,(L(K(z,y),u,K(z,y)) * u) \ 1). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). x != K(y,(K(z,u) * w) \ 1) | K(y,w \ K(u,z)) = x. K(x,y \ K(z,u \ 1)) = K(x,(L(K(z,u),y,K(z,u)) * y) \ 1). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,(L(y,z,y) * z) \ u) != w | K(x,(y * z) \ u) = w. K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,y \ K(z,u)) = K(x,y \ K(u,z \ 1)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). K(x,y \ K(z,u \ 1)) != w | K(x,y \ K(u \ 1,z)) = w. K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z \ 1)) \ w). K(x,(y * K(z * u,z \ 1)) \ w) = K(x,(y * K(z,(z \ 1) \ u)) \ w). K(x,(y * K(z,u \ 1)) \ w) != v5 | K(x,(y * K(z,u)) \ w) = v5. K(x,(y * K(z * u,z)) \ w) = K(x,(y * K(z,(z \ 1) \ u)) \ w). K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z)) \ w). K(x,y * K(z,u)) = K(x,y * K(u,z \ 1)). K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). 1 / K(x,y * K(z,u)) = K(y * K(u,z \ 1),x). K(x,y * K(z,(L(u \ 1,w,v5) \ 1) \ 1)) = K(x,y * L(K(u,z),w,v5)). K(x,y * K(z,L(u \ 1,w,v5))) = K(x,y * L(K(u,z),w,v5)). K(x * K(y,z),u) = K(x * K(z,y \ 1),u). K(x * K(y,z \ 1),u) = K(x * K(z,y),u). K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). x != K(y * K(y \ z,u),T(w,z)) | K(z * T(y / z,u),w) = x. K(x * T(y / x,z),u) = K(((z * (x \ y)) / z) * x,u). K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). x != K((y \ 1) * T(z / (y \ 1),u),w) | K(y \ T(z * y,u),w) = x. K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). K(T(x,y) / z,u) = K(((y * x) / y) / z,u). K(((x * y) / x) / z,u) = K(T(y,x) / z,u). K(((x * y) / x) / T(z,T(y,x)),u) != w | K(T(y * K(x,y),z) / z,u) = w. K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). K(T(x,y) / y,z) != u | K(y \ x,z) = u. K(x \ (y * K(z,y)),u) = K(T(y,z) / T(x,T(y,z)),u). K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). K(x / T(y,x),z) != u | K(y \ x,z) = u. K(x \ T(y,z),u) = K(x \ (y * K(z,y)),u). K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). K(x \ y,z) = K(x \ T(T(y,u),u),z). K(x \ T(T(y,z),z),u) = K(x \ y,u). 1 / K(x \ y,z) = K(z,x \ T(T(y,u),u)). K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). K(x,y \ z) = K(x,y \ T(T(z,u),u)). K(x,y \ T(T(z,u),u)) = K(x,y \ z). K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). K(x,y \ T(z,u)) = K(x,y \ (z * K(u,z))). K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). K(x,y \ K(z \ 1,u)) != w | K(x,y \ K(z,u)) = w. K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). K(x,(y \ z) \ K(u,y)) != w | K(x,z \ T(y,u)) = w. K(x,y \ T(z,u)) = K(x,y \ T(z,1 / u)). K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). K(x,y \ T(z,u)) = K(x,y \ T(z,u \ 1)). K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. K(x,K(y,z) * u) = K(x,K(z,y \ z) * u). K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). K(x,y * K(z,z \ u)) = K(x,K(u,z) * T(y,K(z,z \ u))). K(x,K(y,z) * T(u,K(z,z \ y))) = K(x,u * K(z,z \ y)). K(x,K(y,z) * u) = K(x,K((y \ 1) \ z,y) * u). K(x,K((y \ 1) \ z,y) * u) = K(x,K(y,z) * u). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(y,(y \ 1) \ z)) \ w). K(x,(y * K(z,u)) \ w) = K(x,(y * K(u,(u \ 1) \ z)) \ w). K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z,(z \ 1) \ u)) \ w) != v5 | K(x,(y * K(z * u,z)) \ w) = v5. K(x,(y * K(z * u,z)) \ w) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,z \ y)). 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 * K(z \ 1,u * z)) = K(x,y * K(u,L(z \ 1,z,u))). K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u \ 1,z * u)). x != K(y,z * K(u \ 1,w)) | K(y,z * K(u,w)) = x. K(x,y * K(z,u * z)) = K(x,y * K(u,L(z \ 1,z,u))). K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u,z * u)). K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u,u * z)). K(x,y * K(z,L(u \ 1,w,v5))) != v6 | K(x,y * L(K(u,z),w,v5)) = v6. K(x,y * L(K(z,u),z,u)) = K(x,y * K(z,z * u)). K(x,y * K(z,u)) = K(x,y * K(z,z * u)). K(x,y * K(z,z * u)) = K(x,y * K(z,u)). K(x,y) = K(x,(y * K(z * u,z)) * K(z,u)). K(x,(y * K(z * u,z)) * K(z,u)) = K(x,y). K(x,y * (K(z * u,z) * K(z,u))) = K(x,y). K(x,y * (z \ R(z,u,z))) = K(x,y). K(x,y) = K(x,y / (z \ R(z,u,z))). K(x,y / (z \ R(z,u,z))) = K(x,y). K(x,(y \ R(y,z,y)) \ u) = K(x,u). L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). K(x,a(y,z,y) \ u) = K(x,u). x * K(x,y) = T(x,a(z,u,z) \ y). T(x,a(y,z,y) \ u) = x * K(x,u). T(x,y) = T(x,a(z,u,z) \ y). T(x,a(y,z,y) \ u) = T(x,u). T(x,y * L(z,u,z)) = T(x,y * z). T(x,y / R(z,u,z)) = T(x,y / z). T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). T(x,y \ z) = T(x,z / T(y,z)). T(x,y / T(z,y)) = T(x,z \ y). T(x,T(y,z) / z) = T(x,z \ y). T(x,y * (z * y)) = T(x,(y * z) * y). T(x,(y * z) * y) = T(x,y * (z * y)). T(x,y * (z \ y)) = T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))). T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). T(x,(y / z) * y) = T(x,y * (z \ y)). K(x,y \ z) = K(x,(y * (u \ R(u,w,u))) \ z). K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). K(x,y \ T(z * (u / T(z,u)),z)) != w | K(x,y \ (z * (u / z))) = w. K(x,y \ (z * (u / z))) = K(x,y \ ((u / T(z,u)) * z)). K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). K(x,y \ T(z,u)) = K(x,y \ (u * (z / u))). K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). K(x,K(y,z \ u) * (u / z)) != w | K(x,T(u / z,T(y \ (z \ u),z))) = w. K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). K(x,T(y / z,y / (z * u))) != w | K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))) = w. K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y / z,y / (((u \ 1) \ 1) \ z))) = K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,(y * K(z * u,u)) \ w) != v5 | K(x,(y * K(z,u)) \ w) = v5. K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). K(x,y \ (z * (u / z))) != w | K(x,y \ T(u,z)) = w. K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,u \ 1)) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). K(x,T(y / z,u)) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). K(x,T(y / z,y / (u \ z))) != w | K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))) = w. K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). K(x,K(y,z \ y) * u) != w | K(x,K(z,y) * u) = w. K(x,K(y,z) * (z \ u)) = K(x,T(z,y \ z) \ u). K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) != w | K(x,T(u / y,T(y,z) / z)) = w. K(x,T(y / z,T(z,u) / u)) = K(x,T(z,u) \ (T(u,z) * (y / T(u,z)))). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ 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,T(y * z,z) \ T(u,T(z,y))) != w | K(x,T(u / (y * z),(y * z) \ z)) = w. K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). K(x,(y * K(z \ 1,y * z)) \ T(u,T((y * z) \ y,y * z))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). x != K(y,z \ T(u,w \ (v5 \ w))) | K(y,z \ T(u,T(v5,w))) = x. K(x,(y * K(z \ 1,y * z)) \ T(u,T(z,y))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). x != K(y,(z * K(u \ 1,w)) \ v5) | K(y,(z * K(w,u)) \ v5) = x. K(x,(y * K(y * z,z)) \ T(u,T(z,y))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). x != K(y,(z * K(u * w,w)) \ v5) | K(y,(z * K(u,w)) \ v5) = x. K(x,(y * K(y,z)) \ T(u,T(z,y))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). x != K(y,T(z,u) \ T(w,T(u,z))) | K(y,T(w / z,u \ z)) = x. K(x,T(y / z,u \ z)) = K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,u * z)) = K(x,T(y / z,u \ z)). K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). K(x,T(y,z \ u)) = K(x,T((y * u) / u,z * u)). K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). K(x,T(y / z,u)) = K(x,T(y / z,(z / u) * z)). K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). K(x,T(y,z * u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z * u)). K(x,T(y,T(z,u))) = K(x,T(y,u * (z \ u))). K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). K(x,T(y / z,z * (u \ z))) != w | K(x,T(y / z,u)) = w. K(x,T(y / z,u)) = K(x,T(y / z,T(u,z))). K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. K(x,K(y,T(z,u))) = K(z,K(x,y)). x != K(y,K(z,u)) | K(z,K(u,T(y,w))) = x. K(x,K(y,T(z,u))) = K(x,K(y,T(z,w))). K(x,K(y,z)) = K(x,K(y,T(z,u))). K(x,K(y,T(z,u))) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(z,T(y,u))). K(x,K(y,T(z,u))) = K(x,K(z,y)). K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. K(x,K(y,T(z,u))) = K(z,K(x,T(y,w))). K(x,K(y,T(1 / L(1 / z,u,w),v5))) != v6 | K(x,T(L(K(z,y),u,w),v5)) = v6. K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). K(x,K(y,z \ u)) = K(x,K(y,u / z)). K(x,K(y,z / u)) = K(x,K(y,u \ z)). K(x,K(y \ z,u)) = K(x,K(z / y,u)). K(x,K(y / z,u)) = K(x,K(z \ y,u)). x * K(y,K(z,u)) = K(y,K(z,u)) * x. K(x,K(y,z)) * u = u * K(x,K(y,z)). K(x,K(y * z,u)) = K(x,K(z * y,u)). K(x,K(y,z * u)) = K(x,K(y,u * z)). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). T(x,K(y,z)) \ u = (x \ u) * K(x,K(y,z)). (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. T(x,K(y,K(z,u))) = x. x != (y * z) * K(u,K(w,L(v5,z,y))) | y * (z * K(u,K(w,v5))) = x. x * (y * K(z,K(u,w))) = K(z,K(u,L(w,y,x))) * (x * y). K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). x != (y * K(z,u)) * K(z,K(u,w)) | y * T(K(z,u),w) = x. x * T(K(y,z),u) = K(y,K(z,u)) * (x * K(y,z)). K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). K(x \ y,x) * z != T(u,T(y,x)) * K(x \ y,x) | T(u,y) = z. T(x,y) = T(x,T(y,K(z,u))). T(x,T(y,K(z,u))) = T(x,y). K(x,K(y,K(z,u))) = 1. K(K(x,y),K(z,u)) = 1. T(K(x,y),K(z,u)) = K(x,y). K(T(x,K(y,z)),u) = K(x,u). T(K(x,y \ z),z) != u | K(x,z / y) = u. K(x,K(y,z) / u) = K(x,u \ K(y,z)). K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,w))). K(x,T(y,T(z,u))) = K(x,y) * K(y,K(z,T(x,w))). K(x,T(y,T(z \ u,w))) = K(x,y) * K(y,K(u / z,x)). K(x,T(y,T(z \ u,w))) != v5 | K(x,T(y,u / z)) = v5. K(x,T(y,z / u)) = K(x,T(y,u \ z)). x != K(((y \ z) * y) / u,T(w,y \ z)) | z \ (y * (K((y \ z) / (u / y),w) * (y \ z))) = x. x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,w)). T(K(x,y),T(z,u)) = K(y,K(x,T(z,w))) \ K(x,y). x != K(y,K(z,T(u,w))) \ K(z,y) | T(K(z,y),T(u,v5)) = x. T(K(x,y),T(z,u)) = T(K(x,y),T(z,w)). T(K(x,y) * z,T(u,z)) = T(K(x,y) * z,u). K(x,T(y,z)) = T(K(x,y),T(z,K(u,w))). T(K(x,y),T(z,K(u,w))) = K(x,T(y,z)). x != T(K(y,z),T(u,K(w,v5))) | K(y,T(z,u)) = x. K(x,T(y,z)) = T(K(x,y),T(z,u)). T(K(x,y),T(z,u)) = K(x,T(y,z)). x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). x \ (x * K((y * (z / y)) \ x,u)) = K(((y \ x) * y) / z,T(u,x / y)). K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). K((x * (y / x)) \ z,u) = K(((x \ z) * x) / y,T(u,z / x)). K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). K(1 / x,T(y,z / u)) = K((u * ((x * ((u \ z) * u)) / u)) \ z,y). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. K(1 / x,T(y,z / (u \ w))) = K(1 / x,T(y,z / (1 / (w \ u)))). K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). K(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 \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). K(x,T(y,K(z,u))) != w | K(x,y) = w. K(x,K(y \ z,u)) = K(x,K(u,z / y)). K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). K(L(x,y,z),u) = K(R(x,y,z),u). K(R(x,y,z),u) = K(L(x,y,z),u). K(x,K(y,z / u)) = K(x,K(y,z \ u)). x != K(y,K(y / z,(u * w) \ v5)) | K(y,K(w \ (u \ v5),L(z,w,u))) = x. K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). K(x,K(y,z / u)) = K(x,K(y,(1 / u) * z)). K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). K(x,K(y,z * u)) = K(y,K(x,u * z)). K(x,K(y,(z * u) * w)) = K(x,K(y,(u * w) * R(z,u,w))). K(x,K(y,(z * u) * R(w,z,u))) = K(x,K(y,(w * z) * u)). K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. K(x,T(y,z / (1 / u))) = K(x,T(y,u * z)). K(x,K(y / z,u * z)) != w | K(x,K(y / z,u * y)) = w. K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. x != K(y,K(y / z,u)) | K(y,K(z,u)) = x. K(x,K(y,z / (u * w))) = K(x,K(w \ (u \ z),L(y,w,u))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). x != K(y,1 / L(K(z,u),w,v5)) | K(y,L(K(z,u),w,v5)) = x. K(x,L(K(y,z),u,w)) = K(x,T(L(K(y,z),u,w),v5)). K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). K(x,K(y,L(z,u,w))) = K(x,T(L(K(z,y),u,w),v5)). K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,L(y,u,w))). x != K(y,K(z,u \ w)) | K(y,K(z,w / u)) = x. K(x,K(y,(z * u) / (z * w))) = K(x,K(y,L(u / w,w,z))). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). K(x,K(y,L(z,u,w))) = K(x,K(y,(w * (z * u)) / (w * u))). K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. K(x,K(y,L(z,u,w))) = K(x,K(z,(w * u) / (w * (u / y)))). K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). K(x,1 / L(y,z,u)) * (z * u) = (K(x,1 / y) * z) * u. K(x,1 / L(y,z,u)) * (z * T(u,z)) = (K(x,1 / y) * z) * T(u,z). K(x,K(y,L(z,u,w))) * (u * T(w,u)) = (K(x,1 / K(y,z)) * u) * T(w,u). K(x,K(y,L(z,u,w))) * (w * u) = (K(x,1 / K(y,z)) * u) * T(w,u). K(x,K(y,L(z,u,w))) * (w * u) != v5 | w * (u * K(x,K(y,z))) = v5. x * (y * K(z,K(u,w))) = (K(z,1 / K(u,w)) * y) * T(x,y). (K(x,1 / K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(z,y))). (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). T(x,y) * z != x * (y * K(u,K(w,v5))) | T(K(u,K(w,v5)) * y,T(x,y)) = z. T(K(x,K(y,z)) * u,T(w,u)) = T(u,w) * K(x,K(y,z)). T(K(x,y) * z,T(u,z)) != w | T(K(x,y) * z,u) = w. T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). T(x,y) * K(z,K(u,w)) = T(K(z,K(u,w)) * x,y). T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y). (x * (T(y,z) * K(u,K(w,v5)))) \ (x * (y * K(u,K(w,v5)))) = K(z,y * K(u,K(w,v5))). (x * (T(y,z) * u)) \ (x * (y * u)) != w | K(z,T(L(y,u,x),u)) = w. K(x,T(L(y,K(z,K(u,w)),v5),K(z,K(u,w)))) = K(x,y * K(z,K(u,w))). K(x,L(y,K(z,K(u,w)),v5)) = K(x,y * K(z,K(u,w))). K(x,y) = K(x,y * K(z,K(u,w))). K(x,y * K(z,K(u,w))) = K(x,y). K(x,T(y,K(z,u)) / w) = K(x,y / w). K(x,T(y,K(z,u)) \ w) = K(x,y \ w). K(x,L(T(y,K(z,u)) \ (w / K(z,u)),T(y,K(z,u)),K(z,u))) = K(x,T(w / (K(z,u) * y),T(y,K(z,u)))). K(x,(y * z) \ K(y,1 / y)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). K(x,(K(y,z) * T(u,K(y,z))) \ T(w,K(y,z))) = K(x,T(w / (K(y,z) * u),T(u,K(y,z)))). K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(K(z,u) * T(w,K(z,u))) \ T(y,K(z,u))). K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(w * K(z,u)) \ T(y,K(z,u))). K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))). K(x,T(y,z)) = K(x,(z * K(u,w)) \ T(y * (K(u,w) * z),K(u,w))). K(x,(y * K(z,u)) \ T(w * (K(z,u) * y),K(z,u))) = K(x,T(w,y)). K(x,((K(y,z) \ u) * K(y,z)) \ T(w * u,K(y,z))) = K(x,T(w,K(y,z) \ u)). K(x,((y \ z) * y) \ u) != w | K(x,T(z,y) \ u) = w. K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. K(x,(y * z) / y) = K(x,T(z,K(u,w) * y)). K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). x != K(y,(z * u) / z) | K(y,T(u,z)) = x. K(x,T(y,z)) = K(x,T(y,K(u,w) * z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. K(x,T(y,z * K(u,w))) = K(x,T(y,z)). K(x,T(y,z * u)) = K(x,T(y,z * (K(w,v5) * u))). K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). K(x,y) * K(x,K(y,z * u)) = K(x,T(y,z * (K(w,v5) * u))). K(x,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)). K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). K(x,K(y,z)) = K(x,K(y,z * K(u,w))). K(x,K(y,z * K(u,w))) = K(x,K(y,z)). K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). x != K(y,K(z,(1 / u) * w)) | K(y,K(z,w / u)) = x. K(x,K(y,z / u)) = K(x,K(y,(K(w,v5) * z) / u)). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,z / v5)). K(x,K(y,z / (u * w))) = K(x,K(y,(w * u) / z)). K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). K(x,K(y,z / u)) = K(x,K(y,(u * K(w,v5)) / z)). K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). x != K(y,K(z,u / w)) | K(y,K(z,w / u)) = x. K(x,K(y,z / (u * w))) = K(x,K(y,z / ((K(v5,v6) * u) * w))). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). K(x,K(y,z)) = K(x,K(y,K(u,w) / z)). K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). K(x,T(y,z / u)) = K(x,T(y,(u * K(w,v5)) / z)). K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). K(x,T(y,z)) = K(x,T(y,K(u,w) / z)). K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). x != K(y,T(L(z,u,T(y,w)),v5)) | K(y,T(z,v5)) = x. K(x,T(y,z / (u / w))) = K(x,T(L(y,v5,T(x,v6)),z / (u / T(w,v7)))). K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). K(x,T(y,z / (u / (w \ v5)))) = K(x,T(y,z / (u / (v5 / w)))). K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). K(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(1 / x,T(y,z / (u / w))) / x = T(1 / x,T(y,z / (u / T(w,v5)))). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. K(x,K(y,z / u)) = K(x,K(y,z / T(u,w))). K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). K(x,K(y,z / (u \ w))) = K(x,K(y,z / (w / u))). K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). x != K(y,K(z,(u * (w * v5)) / (u * v5))) | K(y,K(z,L(w,v5,u))) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,((z * u) * w) / (w * u))). K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,a(z,u,u \ w))) = K(x,K(y,((u \ w) * (z * u)) / T(z * w,a(z,u,u \ w)))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). x != K(y,K(z,a(u,w,v5))) | a(z,w,K(y,K(v5,u))) = x. a(x,y,K(z,K(y \ u,w))) = K(z,K(x,((y \ u) * (w * y)) / T(w * u,a(w,y,y \ u)))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). K(x,K(y,(z * T(u,w)) / v5)) != v6 | K(x,K(y,(z * u) / v5)) = v6. K(x,K(y,(z * u) / w)) = K(x,K(y,w / (T(u,v5) * z))). K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,(v5 * (w / u)) / z)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). K(x,K(y,z * u)) = K(x,K(y,(z * K(w,v5)) * u)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). K(x,K(y,z)) = K(x,K(z,K(u,w) / y)). K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). K(x,K(y,z)) = K(x,K(y * K(u,w),z)). K(x,K(y * K(z,u),w)) = K(x,K(y,w)). K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). K(x,K(y / z,K(u,1 / u) / (u * y))) != w | K(x,K(y \ (1 / u),L(y / z,z,u))) = w. K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). x != K(y,K(z,u)) | K(y,K(z * K(w,v5),u)) = x. K(x,K(y * K(z,u),w)) = K(x,K(K(v5,v6) / y,w)). K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) != v5 | a(y,z,K(x,K(w,u / z))) = v5. a(x,y,K(z,K(u,w / y))) = K(z,K(x,((y \ w) * (u * y)) / (u * w))). K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(T(y,z) / u,L(w,u,z))) != v5 | K(x,K(w,(y * z) / (z * u))) = v5. K(x,K(y,(z * u) / (u * w))) = K(x,K(z / w,L(y,w,u))). K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). K(x,K(y,L(z,u \ w,u))) != v5 | K(x,K(y,L(z,w,u))) = v5. K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(R(y,K(z,u),w),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(L(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). K(x,K(y / z,L(u,y,w))) != v5 | K(x,K(u,L(y / z,z,w))) = v5. K(x,K(y,L(K(z,u) / w,w,v5))) = K(x,K(w * K(v6,v7),L(y,K(z,u),v5))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) != w | K(x,K(z,(1 / (y \ z)) / u)) = w. K(x,K(y,(1 / (z \ y)) / u)) = K(x,K((z \ y) * u,u / z)). K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). K(x,K(y / z,(z \ u) * y)) != w | K(x,K(u,y / z)) = w. K(x,K(y,z / u)) = K(x,K(y,(1 / (u \ y)) / z)). K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). K(x,K(y,(1 / z) / u)) != w | K(x,K(y,u * z)) = w. K(x,K(y,z * u)) = K(x,K(y,z / (y / u))). K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). K(x,K(y,z / u)) = K(x,K(y,z * (y / u))). K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). K(x,K(y,z / u)) = K(x,K(y,z * (x / u))). K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). x != K(y,K(z,L(u,w,v5))) | K(y,K(u,L(z,w,v5))) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,L(K(v5,v6) / z,u,w))). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). K(x,K(y,L(K(z,u) / w,w,v5))) != v6 | K(x,K(w * K(v7,v8),L(y,K(z,u),v5))) = v6. K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). x != K(y,K(z,L(u,u,w))) | K(y,K(u,z)) = x. K(x,K(y,z)) = K(x,K(y * K(u,w),L(z,K(v5,v6),v7))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). K(x,K(y,L(L(z,K(u,w) * v5,v6),K(u,w),v5))) != v7 | K(x,K(z,(((K(u,w) * y) * v5) * v6) / (v6 * (K(u,w) * v5)))) = v7. K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). x != K(y,K(z,u / ((K(w,v5) * v6) * v7))) | K(y,K(z,u / (v6 * v7))) = x. K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * (K(v5,v6) * u)))). K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). x != K(y,K(z,u / (w * v5))) | K(y,K(z,u / (v5 * w))) = x. K(x,K(y,z / (u * w))) = K(x,K(y,z / (u * (K(v5,v6) * w)))). K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) != v7 | K(x,K(w,L(y,K(z,u) * v5,v6))) = v7. K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(z,(((K(u,w) * y) * v5) * v6) / (v6 * v5))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z / (u * (v5 / w)))). K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ w)))). K(x,K(y,((z * u) * w) / (w * u))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) != v7 | K(x,K(w,L(y,v5,v6))) = v7. K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,K(v5,v6) * u,w))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). x != K(y,K(z,L(u,w,v5))) | a(u,w,K(v5,K(y,z))) * K(u,K(y,z)) = x. a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = L(K(x,K(u,w)),K(v5,v6) * y,z). L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). a(x,y \ z,K(u,K(w,v5))) = a(x,z / y,K(u,K(w,v5))). a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). a(x,y,K(z,K(u,w))) = a(x,v5 * (y / v5),K(z,K(u,w))). a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) != v6 | a(x,y,K((1 / z) / u,K(w,v5))) = v6. a(x,y,K((1 / z) / y,K(u,w))) = a(x,1 / z,K(u,K(w,y * z))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(w,x))) = v5. a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). x != K(y,K(z,u * w)) | K(y,K(z,w * u)) = x. K(x,K(y,z * u)) = K(x,K(y,(u * K(w,v5)) * z)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,((u \ (u * ((1 / u) * z))) * w) * v5)). K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). K(x,K(y,(z / u) * w)) = K(x,K(y,((v5 / (v5 / z)) / u) * w)). K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,((w \ u) / v5) * z)). K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). K(x,K(y,z * u)) = K(x,K(y,u * T(z,w))). K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). K(x,K(y,(z / T(u,w)) * v5)) = K(x,K(y,v5 * (z / u))). K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). K(x,y) * (K(z,u) / u) != w | K(x,y) / T(u,z) = w. K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). K(x,T(y,z)) / T(z,u) != w | ((1 / z) * K(x,y)) * K(u,z) = w. ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. K(x,y) / (K(z,u) * y) = ((1 / y) * K(u,z)) * K(x,y). ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). ((1 / x) * K(y,z)) * K(u,x) != w | (K(u,x) / x) * K(y,z) = w. (K(x,y) / y) * K(z,u) = K(x,y) / (K(u,z) * y). K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). x != K(1 / y,T(z,u / (w \ v5))) | K(1 / y,T(z,u / (1 / (v5 \ w)))) = x. K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). K(x,T(y,z / (u / (w \ v5)))) != v6 | K(x,T(y,z / (u / (v5 / w)))) = v6. K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. K(1 / x,T(y,(z / u) * w)) = K(1 / x,T(y,w / (u / z))). K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. x != K(1 / y,z) / y | T(1 / y,z) = x. T(1 / x,T(y,(z / u) * w)) = T(1 / x,T(y,w / (u / T(z,v5)))). T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). T(T(1 / (1 / L(x,y,z)),u),1 / x) != w | T(L(x,y,z),u) = w. T(L(x,y,z),T(u,(w / v5) * v6)) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). (T(L(x,y,z),T(u,(w / v5) * v6)) \ 1) * L((x \ 1) \ 1,y,z) = K(T(u,v6 / (v5 / T(w,v7))),L(x,y,z)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). x != (T(L(y,z,u),w) \ 1) * L((y \ 1) \ 1,z,u) | K(w,L(y,z,u)) = x. K(T(x,(y / z) * u),L(w,v5,v6)) = K(T(x,u / (z / T(y,v7))),L(w,v5,v6)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). K(x,T(L(y,z,u),(w / v5) * v6)) = K(T(x,v6 / (v5 / T(w,v7))),L(y,z,u)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). K(x,T(y,z / (u / T(w,v5)))) != v6 | K(x,T(y,z / (u / w))) = v6. K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) != v8 | K(x,T(y,w / (v5 / v6))) = v8. K(x,T(y,z / (u / w))) = K(x,T(L(y,v5,T(x,v6)),(T(w,v7) / u) * z)). K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). K(x,T(L(y,z,T(x,u)),w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). K(x,T(y,(z / u) * w)) = K(x,T(y,w / (u / z))). K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). K(x,T(y,z / (u / w))) != v5 | K(x,T(y,z / (w \ u))) = v5. K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). K(x,y) * z != K(x,T(y,u / (w \ v5))) | K(x,K(y,u / (v5 / w))) = z. K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,z / (u / (u / w)))) != v5 | K(x,K(y,z / w)) = v5. K(x,K(y,z / u)) = K(x,K(y,((w / u) / w) * z)). K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). K(x,K(y,z / ((u * w) / u))) != v5 | K(x,K(y,z / w)) = v5. K(x,K(y,z / u)) = K(x,K(y,(w / (w * u)) * z)). K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). K(x,K((y / z) * u,L(w,v5,v6))) = K(x,K(u / (y \ z),L(w,v5,v6))). K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). K(x,K(y / (z \ u),L(w,u,z))) != v5 | K(x,K(w,(y * z) / (z * (z \ u)))) = v5. K(x,K(y,(z * u) / (u * (u \ w)))) = K(x,K((u / w) * z,L(y,w,u))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). K(x,K(y / z,L(u,w,v5))) = K(x,K(((v6 / z) / v6) * y,L(u,w,v5))). K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). x != K(y,K(z,(u * w) / v5)) | K(y,K(z,(w * u) / v5)) = x. K(x,K(y,(z * u) / w)) = K(x,K((z / w) * u,L(y,w,z))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K((z / v5) / w,L(y,v5,z))). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). K(x,K((y / z) / u,L(w,z,y))) != v5 | K(x,K(w,(y * (1 / u)) / z)) = v5. K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(z * ((v5 / u) / v5)) / w)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). K(x,K(y,(z * u) / w)) = K(x,K(y,(T(z,u) / (1 / u)) / w)). K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). K(x,K(y,z * (u / w))) = K(x,K(y,z / (u \ w))). K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). K(x,K(y,(T(z,u) / (1 / u)) / w)) != v5 | K(x,K(y,(z * u) / w)) = v5. K(x,K(y,(z * u) / w)) = K(x,K(y,((1 / u) / T(z,u)) * w)). K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). K(x,K(y,z * ((u / w) / v5))) != v6 | K(x,K(y,((w \ u) / v5) * z)) = v6. K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). K(x,K(y,z * ((u / (u / w)) / v5))) != v6 | K(x,K(y,(w / v5) * z)) = v6. K(x,K(y,(z / u) * w)) = K(x,K(y,(u * (1 / z)) / w)). K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,(z * (1 / u)) / w)) != v5 | K(x,K(y,(z * ((v6 / u) / v6)) / w)) = v5. K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). K(x,K(y,(z * u) / (z * (u * w)))) != v5 | K(x,K(y,L(w,u,z))) = v5. K(x,K(y,L(z,1 / u,w))) = K(x,K(y,(u / w) * (w * ((1 / u) * z)))). K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). K(x,K(y,z / (((u / (u / w)) / u) * v5))) = K(x,K(y,((u / (u / ((w / u) \ 1))) / v5) * z)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). x != K(y,K(z,u / (((w / v5) / w) * v6))) | K(y,K(z,(v5 / v6) * u)) = x. K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) != v6 | K(x,K(y,((z / u) / w) * v5)) = v6. K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,(w * (u / z)) / v5)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). K(x,K(y,(z * (u / w)) / v5)) != v6 | K(x,K(y,v5 / ((w \ u) * z))) = v6. K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,((w / v5) / T(u,w \ v5)) * z)). K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). K(x,K(y,((z \ u) * (w * z)) / (w * u))) != v5 | a(y,z,K(x,K(w,u / z))) = v5. a(x,y,K(z,K(u,w / y))) = K(z,K(x,((y / w) / (u * y)) * (u * w))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). x != a(y,z,K(u,K(w,v5))) | a(y,v5 * z,K(u,K(w,v5))) = x. a(x,(y / z) * z,K(u,K(w,y / z))) = K(u,K(x,((z / y) / (w * z)) * (w * y))). a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). a(x,y,K(z,K(u / y,w / y))) = K(x,K(z,((u / y) * w) * ((y / w) / u))). a(x,y,K(z,K(u,y / w))) = K(z,K(x,((w / y) / (u * w)) * (u * y))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,z / (v5 * (u \ w)))). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. K(x,K(y,L(z,u,w))) = K(x,K(z,(w * u) * ((y / u) / w))). K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). x != K(y,z \ K(u,w)) | K(y,K(u,w) / z) = x. K(x,K(y,1 / y) / (y * z)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). x != K(y,K(z,1 / z) / u) | K(y,1 / u) = x. K(x,1 / (y * z)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). K(x,y / (y * (y * z))) = K(x,1 / (z * y)). K(x,K(y,1 / (z * ((1 / u) * w)))) = K(x,K(y,(u / w) * (((1 / u) * w) / (((1 / u) * w) * z)))). K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). x != K(y,K(z,1 / u)) | K(y,K(z,u)) = x. K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) * (((1 / u) * w) / (((1 / u) * w) * z)))). K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). K(x,K(y,z * (u / (u * w)))) != v5 | K(x,K(y,z / w)) = v5. K(x,K(y,(z / u) / w)) = K(x,K(y,w * ((1 / z) * u))). K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). x != K(y,K(z,(u / w) / v5)) | K(y,K(z,(w / u) * v5)) = x. K(x,K(y,(z / u) * w)) = K(x,K(y,w * ((1 / u) * z))). K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). x != K(y,K(z,((u * w) / u) * v5)) | K(y,K(z,w * v5)) = x. K(x,K(y,z * u)) = K(x,K(y,u * L(z,w,1 / w))). K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) != v6 | K(x,K(y,(((1 / v5) * w) * z) * u)) = v6. K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,R(u / z,w,v5) * (w * v5))). K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,((v5 / w) * u) * T(z,v6))). K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). x != K(y,K(z,u * (1 / w))) | K(y,K(z,u / w)) = x. K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,(w * ((1 / u) * z)) / v5)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). x != K(y,K(z,((u / w) * v5) / v6)) | K(y,K(z,((w / u) / v5) * v6)) = x. K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,(w * ((1 / z) * u)) / v5)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). K(x,K(y,a(z,1 / u,w))) = K(x,K(y,((u / w) / z) * ((z * (1 / u)) * w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). x != K(y,K(z,a(u,w,v5))) | a(y,w,K(z,K(u,v5))) = x. a(x,1 / y,K(z,K(u,w))) = K(x,K(z,((y / w) / u) * ((u * (1 / y)) * w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). x != K(y,K(z,u / ((1 / w) * v5))) | K(y,K(z,(w / v5) * u)) = x. K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,w / u,u))). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,L(z,u / w,w))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. K(x,K(y,z * ((u / w) * v5))) = K(x,K(y,z * (v5 * ((1 / w) * u)))). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). K(x,K(y,z * (u * w))) = K(x,K(y,z * (((w / (1 / v5)) / v5) * u))). K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). K(x,K(y,(z / u) * (u * ((1 / z) * w)))) != v5 | K(x,K(y,L(w,1 / z,u))) = v5. K(x,K(y,L(z,1 / u,w))) = K(x,K(y,(u / w) * ((z / u) * w))). K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). K(x,K(y,z * (u * (1 / w)))) != v5 | K(x,K(y,(u / w) * z)) = v5. K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). x != K(y,K(z,u * (T(w,v5) * v6))) | K(y,K(z,(w * v6) * u)) = x. K(x,K(y,(z * u) * w)) = K(x,K(y,w * (((u / (1 / v5)) / v5) * T(z,v6)))). K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). K(x,K(y,((z / u) / w) * (u / (1 / w)))) != v5 | K(x,K(y,L(z,1 / u,1 / w))) = v5. K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(y,(w * u) * ((z / u) / w))). K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,1 / u,1 / w))). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). K(x,K(y,L(z,u,1 / w))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). K(x,K(y,L(z,1 / u,w))) != v5 | K(x,K(y,L(z,K(v6,v7) / u,w))) = v5. K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(y,L(z,u,w))) * K(K(y,z),x) = a(w,K(v5,u) / (K(z,y) * u),K(K(y,z),x)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). x != K(y,K(z,u)) * K(y,K(z,w)) | K(K(z,u) * K(w,z),y) = x. K(K(x,L(y,z,u)) * K(y,x),w) = a(u,K(v5,z) / (K(y,x) * z),K(K(x,y),w)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). x != K(a(y,z * u,K(u,w)),v5) | a(u,z,K(v5,K(w,y))) = x. a(x,y,K(z,K(u,w))) = a(w,K(v5,y) / (K(x,u) * y),K(K(u,x),z)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). a(x,1 / y,K(z,K(u,w))) != v5 | K(x,K(z,((y / w) / u) * ((u * (1 / y)) * w))) = v5. K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). a(x,1 / y,K(z,K(u,w))) != v5 | a(w,u / y,K(z,K(u,x))) = v5. a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). x != a(y,z,K(u,K(w,v5))) | a(w,z,K(u,K(y,v5))) = x. a(x,y,K(z,K(u,w))) = a(u,x / y,K(z,K(x,w))). a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) != v5 | a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))) = v5. a(x,y,K(z,K(u,1 / (K(w,1 / y) / w)))) = K(z,K(u,(((y / x) / w) * K(w,1 / y)) * ((w / y) * x))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). a(x,y,K(z,K(u,1 / (K(w,1 / y) / w)))) = K(z,K(u,((w / y) * x) * ((y / x) / w))). a(x,y,K(z,K(u,w * K(1 / y,w)))) = K(z,K(u,((w / y) * x) * ((y / x) / w))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). K(x,K(y,((z / u) * w) * ((u / w) / z))) != v5 | a(x,u,K(y,K(z / u,w / u))) = v5. a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w))) != v5 | a(x,z,K(y,K(u,w))) = v5. a(x,y,K(z,K(u,w / y))) = a(w,z \ y,K(x,K(u,y))). a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). a(x,y \ z,K(u,K(w,v5))) != v6 | a(x,z / y,K(u,K(w,v5))) = v6. a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). a(x,y / z,K(u,K(y,w))) != v5 | a(y,z,K(u,K(x,w))) = v5. a(x,y,K(z,K(u,w))) = a(z,x,K(y,K(w,u / x))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) != v5 | a(y,u,K(x,K(w,u / z))) = v5. a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). a(x,y,K(z,K(u,w / y))) != v5 | a(y,z,K(w,K(x,u))) = v5. a(x,y,K(z,K(u,w))) = a(z,u,K(y,K(x,w))). a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). K(x,K(y,L(z,u,w))) = L(K(x,K(z,y)),w,u). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). x != K(y,K((z / u) * w,L(v5,z,u))) | K(y,K(v5,(w / u) * z)) = x. K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,u,w))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). K(x,K(y,1 / L(z,u,w))) = K(x,K(y,L(L(1 / z,z,u),w,u * z))). K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). K(x,K(y,z \ ((z / (u * w)) * (u * (w * v5))))) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). K(x,K(y,L(z,u,w))) = K(x,K(y,L(L(1 / z,z,u),w,u * z))). K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,L(z,u,w))). K(x,K(y,((z / (u * w)) * (u * (w * v5))) / z)) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). x != K(y,K(z,(u * w) / v5)) | K(y,K(z,(u / v5) * w)) = x. K(x,K(y,((z / (u * w)) / z) * (u * (w * v5)))) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). x != K(y,K(z,((u / w) / u) * v5)) | K(y,K(z,v5 / w)) = x. K(x,K(y,(z * (u * w)) / (z * u))) = K(x,K(y,L(L(w,u,z),v5 / (z * u),z * u))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). x != K(y,K(z,T(u,w))) | K(y,K(z,u)) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(z,u,w))) = K(x,K(y,L(1 / z,z,u))). K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). K(x,K(y,1 / z)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). x != K(y,K(z,1 / u)) | K(u,K(y,z)) = x. K(x,K(y,z)) = K(y,K(z,L(x,u,w))). K(x,K(y,L(z,u,w))) = K(z,K(x,y)). L(K(x,K(y,z)),u,w) = K(x,K(y,z)). K(x,K(y,z)) * (u * w) = (K(x,K(y,z)) * u) * w. (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). (T(x,K(y,z)) * u) * w = K(x,K(y,z)) * ((x * u) * w). K(x,K(y,z)) * ((x * u) * w) = (T(x,K(y,z)) * u) * w. x \ (K(y,z) * ((T(x,K(y,z)) * K(z,y)) * u)) = L(u,K(z,y),x * K(y,z)). x \ (K(y,z) * ((K(z,y) * x) * u)) = L(u,K(z,y),x * K(y,z)). x \ y != L(z,K(u,w),x * K(w,u)) | (x * K(w,u)) * (K(u,w) * z) = y. (x * K(y,z)) * (K(z,y) * u) = K(y,z) * ((K(z,y) * x) * u). (x * y) \ (K(z,u) * ((K(u,z) * x) * y)) = a(x,K(z,u),K(u,z) * y). (x * y) \ (K(z,u) * ((K(u,z) * x) * y)) != w | a(u,x,K(y,z)) = w. a(x,y,K(z,u)) = a(y,K(u,x),K(x,u) * z). a(x,K(y,z),K(z,y) * u) = a(z,x,K(u,y)). a(x,K(y,z),u) = a(z,x,K(K(y,z) * u,y)). a(x,y,K(K(z,x) * u,z)) = a(y,K(z,x),u). a(x,y,K(z,u)) = a(y,K(u,x),z). end_of_list. ============================== end of input ========================== ============================== PROCESS NON-CLAUSAL FORMULAS ========== % Formulas that are not ordinary clauses: 1 a(x,y,z) = 1 -> L(z,y,x) = z # label("Compat 1") # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label("Compat 2") # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label("Compat 3") # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label("Compat 4") # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label("Compat 5") # label(non_clause). [assumption]. 6 a(x,K(y,z),u) = a(z,x,K(u,y)) # label("aK2_eq_aK3 (3142)") # label(non_clause) # label(goal). [goal]. ============================== end of process non-clausal formulas === ============================== PROCESS INITIAL CLAUSES =============== % Clauses before input processing: formulas(usable). end_of_list. formulas(sos). 1 * x = x. [assumption]. x * 1 = x. [assumption]. x \ (x * y) = y. [assumption]. x * (x \ y) = y. [assumption]. (x * y) / y = x. [assumption]. (x / y) * y = x. [assumption]. (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. x \ (y * x) = T(y,x). [assumption]. T(T(x,y),z) = T(T(x,z),y). [assumption]. T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [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"). [clausify(1)]. L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. x != y | x * z = y * z # label("Aux 1"). [assumption]. x != y | z * x = z * y # label("Aux 2"). [assumption]. x != y | x / z = y / z # label("Aux 3"). [assumption]. x != y | z / x = z / y # label("Aux 4"). [assumption]. x != y | x \ z = y \ z # label("Aux 5"). [assumption]. x != y | z \ x = z \ y # label("Aux 6"). [assumption]. x != y | y != z | x = z # label("Transitivity ="). [assumption]. a(c3,c1,K(c4,c2)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3 (3142)"). [deny(6)]. end_of_list. formulas(demodulators). end_of_list. % 20851 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: % copying label "aK2_eq_aK3 (3142)" to answer in negative clause Term ordering decisions: Function symbol KB weights: 1=1. c1=1. c2=1. c3=1. c4=1. *=1. \=1. T=1. /=1. K=1. L=1. R=1. a=1. Predicate symbol precedence: predicate_order([ = ]). Function symbol precedence: function_order([ 1, c1, c2, c3, c4, *, \, T, /, K, L, R, a ]). Skipping inverse_order, because term ordering is KBO. Unfolding symbols: K/2 T/2 L/3 R/3 a/3. Auto_inference settings: % set(paramodulation). % (positive equality literals) % set(hyper_resolution). % (nonunit Horn with equality) % set(hyper_resolution) -> set(pos_hyper_resolution). % set(neg_ur_resolution). % (nonunit Horn with equality) % assign(para_lit_limit, 3). % (nonunit Horn with equality) Auto_process settings: (no changes). kept: 7 1 * x = x. [assumption]. kept: 8 x * 1 = x. [assumption]. kept: 9 x \ (x * y) = y. [assumption]. kept: 10 x * (x \ y) = y. [assumption]. kept: 11 (x * y) / y = x. [assumption]. kept: 12 (x / y) * y = x. [assumption]. 13 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. kept: 14 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(13),flip(a)]. 15 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. kept: 16 K(x,y) = (y * x) \ (x * y). [copy(15),flip(a)]. 17 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. kept: 18 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(17),flip(a)]. 19 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. kept: 20 R(x,y,z) = ((x * y) * z) / (y * z). [copy(19),flip(a)]. 21 x \ (y * x) = T(y,x). [assumption]. kept: 22 T(x,y) = y \ (x * y). [copy(21),flip(a)]. kept: 23 T(T(x,y),z) = T(T(x,z),y). [assumption]. 24 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. kept: 25 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(24),flip(a)]. 26 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. kept: 27 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(26),flip(a)]. 28 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. kept: 29 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(28),flip(a)]. kept: 30 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. kept: 31 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. kept: 32 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [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 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. kept: 36 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. kept: 37 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. kept: 38 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. kept: 39 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. kept: 40 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. kept: 41 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [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 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. kept: 45 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. kept: 46 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. kept: 47 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. kept: 48 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. kept: 49 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. kept: 50 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. kept: 51 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. kept: 52 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. kept: 53 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. kept: 54 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. kept: 55 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. kept: 56 x != y | x * z = y * z # label("Aux 1"). [assumption]. kept: 57 x != y | z * x = z * y # label("Aux 2"). [assumption]. kept: 58 x != y | x / z = y / z # label("Aux 3"). [assumption]. kept: 59 x != y | z / x = z / y # label("Aux 4"). [assumption]. kept: 60 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. kept: 61 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. kept: 62 x != y | y != z | x = z # label("Transitivity ="). [assumption]. kept: 63 a(c3,c1,K(c4,c2)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3 (3142)") # answer("aK2_eq_aK3 (3142)"). [deny(6)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 63 a(c3,c1,K(c4,c2)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3 (3142)") # answer("aK2_eq_aK3 (3142)"). [deny(6)]. end_of_list. formulas(sos). 7 1 * x = x. [assumption]. 8 x * 1 = x. [assumption]. 9 x \ (x * y) = y. [assumption]. 10 x * (x \ y) = y. [assumption]. 11 (x * y) / y = x. [assumption]. 12 (x / y) * y = x. [assumption]. 14 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(13),flip(a)]. 16 K(x,y) = (y * x) \ (x * y). [copy(15),flip(a)]. 18 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(17),flip(a)]. 20 R(x,y,z) = ((x * y) * z) / (y * z). [copy(19),flip(a)]. 22 T(x,y) = y \ (x * y). [copy(21),flip(a)]. 23 T(T(x,y),z) = T(T(x,z),y). [assumption]. 25 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(24),flip(a)]. 27 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(26),flip(a)]. 29 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(28),flip(a)]. 30 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 31 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 32 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [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 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 36 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 37 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 38 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 39 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 40 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 41 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 42 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 43 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 44 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 45 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 46 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 47 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 48 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 49 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 50 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 51 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. 52 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. 53 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. 54 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. 55 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. 56 x != y | x * z = y * z # label("Aux 1"). [assumption]. 57 x != y | z * x = z * y # label("Aux 2"). [assumption]. 58 x != y | x / z = y / z # label("Aux 3"). [assumption]. 59 x != y | z / x = z / y # label("Aux 4"). [assumption]. 60 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 61 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 62 x != y | y != z | x = z # label("Transitivity ="). [assumption]. end_of_list. formulas(demodulators). end_of_list. % 15886 hints (20851 processed, 4965 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.45 seconds. given #1 (I,wt=5): 7 1 * x = x. [assumption]. given #2 (I,wt=5): 8 x * 1 = x. [assumption]. given #3 (I,wt=7): 9 x \ (x * y) = y. [assumption]. given #4 (I,wt=7): 10 x * (x \ y) = y. [assumption]. given #5 (I,wt=7): 11 (x * y) / y = x. [assumption]. given #6 (I,wt=7): 12 (x / y) * y = x. [assumption]. given #7 (I,wt=16): 14 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(13),flip(a)]. given #8 (I,wt=11): 16 K(x,y) = (y * x) \ (x * y). [copy(15),flip(a)]. given #9 (I,wt=14): 18 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(17),flip(a)]. given #10 (I,wt=14): 20 R(x,y,z) = ((x * y) * z) / (y * z). [copy(19),flip(a)]. given #11 (I,wt=9): 22 T(x,y) = y \ (x * y). [copy(21),flip(a)]. given #12 (I,wt=11): 23 T(T(x,y),z) = T(T(x,z),y). [assumption]. given #13 (I,wt=13): 25 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(24),flip(a)]. given #14 (I,wt=13): 27 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(26),flip(a)]. given #15 (I,wt=15): 29 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(28),flip(a)]. given #16 (I,wt=15): 30 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. given #17 (I,wt=15): 31 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. given #18 (I,wt=17): 32 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [assumption]. given #19 (I,wt=13): 33 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. given #20 (I,wt=13): 34 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. given #21 (I,wt=13): 35 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. given #22 (I,wt=13): 36 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. given #23 (I,wt=13): 37 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. given #24 (I,wt=13): 38 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. given #25 (I,wt=13): 39 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. given #26 (I,wt=15): 40 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. given #27 (I,wt=15): 41 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. given #28 (I,wt=10): 42 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. given #29 (I,wt=10): 43 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. given #30 (I,wt=10): 44 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. given #31 (I,wt=10): 45 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. given #32 (I,wt=10): 46 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. given #33 (I,wt=10): 47 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. given #34 (I,wt=10): 48 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. given #35 (I,wt=12): 49 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. given #36 (I,wt=12): 50 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. given #37 (I,wt=12): 51 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. given #38 (I,wt=12): 52 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. given #39 (I,wt=10): 53 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. given #40 (I,wt=10): 54 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. given #41 (I,wt=10): 55 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. given #42 (I,wt=10): 56 x != y | x * z = y * z # label("Aux 1"). [assumption]. given #43 (I,wt=10): 57 x != y | z * x = z * y # label("Aux 2"). [assumption]. given #44 (I,wt=10): 58 x != y | x / z = y / z # label("Aux 3"). [assumption]. given #45 (I,wt=10): 59 x != y | z / x = z / y # label("Aux 4"). [assumption]. given #46 (I,wt=10): 60 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. given #47 (I,wt=10): 61 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. given #48 (I,wt=9): 62 x != y | y != z | x = z # label("Transitivity ="). [assumption]. given #49 (H,wt=5): 64 1 \ x = x. [para(7(a,1),9(a,1,2))]. given #50 (H,wt=5): 66 x \ x = 1. [para(8(a,1),9(a,1,2))]. given #51 (H,wt=5): 71 x / x = 1. [para(7(a,1),11(a,1,1))]. given #52 (H,wt=5): 72 x / 1 = x. [para(8(a,1),11(a,1,1))]. given #53 (H,wt=5): 107 T(x,x) = x. [para(22(a,2),9(a,1))]. given #54 (H,wt=5): 156 K(x,x) = 1. [hyper(62,a,16,a,b,66,a)]. given #55 (H,wt=7): 74 x / (y \ x) = y. [para(10(a,1),11(a,1,1))]. given #56 (H,wt=7): 77 (x / y) \ x = y. [para(12(a,1),9(a,1,2))]. given #57 (H,wt=7): 152 1 \ (x * 1) = x. [hyper(62,a,64,a,b,8,a)]. given #58 (H,wt=5): 177 T(x,1) = x. [hyper(62,a,22,a,b,152,a)]. given #59 (H,wt=5): 178 K(x,1) = 1. [hyper(54,a,177,a)]. given #60 (H,wt=5): 179 T(1,x) = 1. [hyper(53,a,177,a)]. given #61 (H,wt=5): 182 K(1,x) = 1. [hyper(54,a,179,a)]. given #62 (H,wt=7): 161 T(x,T(x,y)) = x. [hyper(39,a,23,a,b,107,a(flip))]. given #63 (H,wt=7): 181 T(x,y \ y) = x. [para(66(a,2),177(a,1,2))]. given #64 (H,wt=8): 117 1 * x != y | x = y. [para(7(a,1),42(a,2))]. given #65 (H,wt=8): 118 x * y != x | 1 = y. [para(8(a,1),42(a,1)),flip(a)]. given #66 (H,wt=8): 125 x * 1 != y | x = y. [para(8(a,1),43(a,2))]. given #67 (H,wt=8): 155 1 \ x != y | x = y. [para(64(a,1),46(a,2))]. given #68 (H,wt=8): 159 T(x,R(x,y,z)) = x. [hyper(41,a,27,a,b,107,a(flip))]. given #69 (H,wt=8): 160 T(x,L(x,y,z)) = x. [hyper(40,a,25,a,b,107,a(flip))]. given #70 (H,wt=8): 180 T(x,1) != y | y = x. [para(177(a,1),48(a,1)),flip(a)]. given #71 (H,wt=9): 65 x \ (1 * (x * y)) = y. [para(7(a,2),9(a,1,2))]. given #72 (H,wt=9): 68 (x * (x \ 1)) * y = y. [para(10(a,2),7(a,1,1))]. given #73 (H,wt=9): 69 x * (y * (y \ 1)) = x. [para(10(a,2),8(a,1,2))]. given #74 (H,wt=9): 75 ((1 / x) * x) * y = y. [para(12(a,2),7(a,1,1))]. given #75 (H,wt=9): 76 x * ((1 / y) * y) = x. [para(12(a,2),8(a,1,2))]. given #76 (H,wt=9): 108 x * T(y,x) = y * x. [para(22(a,2),10(a,1,2))]. given #77 (H,wt=9): 110 T(x / y,y) = y \ x. [para(12(a,1),22(a,2,2))]. given #78 (H,wt=9): 149 (x / y) * y = x * 1. [hyper(62,a,12,a,b,8,a(flip))]. given #79 (H,wt=9): 151 x * (x \ y) = y * 1. [hyper(62,a,10,a,b,8,a(flip))]. given #80 (H,wt=9): 153 (x * (x \ 1)) \ y = y. [para(10(a,2),64(a,1,1))]. given #81 (H,wt=9): 154 ((1 / x) * x) \ y = y. [para(12(a,2),64(a,1,1))]. given #82 (H,wt=9): 157 x / (y * (y \ 1)) = x. [para(10(a,2),72(a,1,2))]. given #83 (H,wt=9): 158 x / ((1 / y) * y) = x. [para(12(a,2),72(a,1,2))]. given #84 (H,wt=9): 162 T(T(x,y),x) = T(x,y). [para(107(a,1),23(a,1,1)),flip(a)]. given #85 (H,wt=7): 235 K(T(x,y),x) = 1. [hyper(54,a,162,a)]. given #86 (H,wt=9): 170 (x * y) / T(x,y) = y. [para(22(a,2),74(a,1,2))]. given #87 (H,wt=9): 183 T(x,T(T(x,y),z)) = x. [hyper(39,a,23,a,b,161,a(flip))]. given #88 (H,wt=9): 196 x * T(y / x,x) = y. [hyper(62,a,108,a,b,12,a)]. given #89 (H,wt=9): 198 T((x * y) / x,x) = y. [hyper(33,a,12,a(flip),b,108,a),flip(a)]. given #90 (H,wt=9): 199 (x * T(y,x)) / x = y. [hyper(34,a,12,a,b,108,a(flip))]. given #91 (H,wt=9): 200 x \ (y * T(x,y)) = y. [hyper(33,a,10,a,b,108,a(flip))]. given #92 (H,wt=9): 223 x \ (y * (y \ x)) = 1. [hyper(33,a,10,a,b,151,a(flip))]. given #93 (H,wt=9): 241 K(x,T(T(x,y),z)) = 1. [hyper(54,a,183,a)]. given #94 (H,wt=9): 247 K(x,(y * x) / y) = 1. [para(198(a,1),235(a,1,1))]. given #95 (H,wt=9): 249 T(x,(y * x) / y) = x. [hyper(55,a,247,a)]. given #96 (H,wt=10): 122 x * y != z | x \ z = y. [para(10(a,1),42(a,1)),flip(a)]. given #97 (H,wt=10): 123 (x / y) * z != x | z = y. [para(12(a,1),42(a,2))]. given #98 (H,wt=10): 127 x * (y \ z) != z | x = y. [para(10(a,1),43(a,2))]. given #99 (H,wt=10): 128 x * y != z | z / y = x. [para(12(a,1),43(a,1)),flip(a)]. given #100 (H,wt=10): 129 x / y != z | z * y = x. [para(11(a,1),45(a,1)),flip(a)]. given #101 (H,wt=8): 250 x != y | y * 1 = x. [para(72(a,1),129(a,1))]. given #102 (H,wt=10): 131 x \ y != z | x * z = y. [para(9(a,1),46(a,1)),flip(a)]. given #103 (H,wt=10): 171 x / y != z | z \ x = y. [para(74(a,1),44(a,1)),flip(a)]. given #104 (H,wt=10): 176 x \ y != z | y / z = x. [para(77(a,1),47(a,1)),flip(a)]. given #105 (H,wt=10): 184 T(x,y \ y) != z | x = z. [para(181(a,1),48(a,2))]. given #106 (H,wt=10): 187 T(x,R(T(x,y),z,u)) = x. [hyper(39,a,23,a,b,159,a(flip))]. given #107 (H,wt=10): 222 (x / y) * y != z | x = z. [para(149(a,2),125(a,1))]. given #108 (H,wt=10): 225 x * (x \ y) != z | y = z. [para(151(a,2),125(a,1))]. given #109 (H,wt=11): 67 x \ (x * (y \ (y * z))) = z. [para(9(a,2),9(a,1))]. given #110 (H,wt=11): 70 x * (y * (y \ (x \ z))) = z. [para(10(a,2),10(a,1,2))]. given #111 (H,wt=11): 73 x * (((x \ y) * z) / z) = y. [para(11(a,2),10(a,1,2))]. given #112 (H,wt=11): 78 x \ (((x * y) / z) * z) = y. [para(12(a,2),9(a,1,2))]. given #113 (H,wt=11): 79 (x \ (x * (y / z))) * z = y. [para(9(a,2),12(a,1,1))]. given #114 (H,wt=11): 80 ((x * (x \ y)) / z) * z = y. [para(12(a,2),10(a,1))]. given #115 (H,wt=10): 257 x != y | z * (z \ x) = y. [para(80(a,1),222(a,1))]. given #116 (H,wt=11): 81 (((x * y) / z) * z) / y = x. [para(12(a,2),11(a,1,1))]. given #117 (H,wt=11): 82 (((x / y) / z) * z) * y = x. [para(12(a,2),12(a,1,1))]. given #118 (H,wt=11): 86 (x * y) * K(y,x) = y * x. [para(16(a,2),10(a,1,2))]. given #119 (H,wt=11): 109 T(x,x \ y) = (x \ y) \ y. [para(10(a,1),22(a,2,2))]. given #120 (H,wt=11): 113 x != y | 1 * z != y | x = z. [para(7(a,1),33(a,1))]. given #121 (H,wt=9): 273 x != y | z != y | x = z. [para(7(a,1),113(b,1))]. given #122 (H,wt=11): 114 1 * x != y | z != y | x = z. [para(7(a,1),33(b,1))]. given #123 (H,wt=11): 142 ((x / y) * y) * z = x * z. [hyper(56,a,12,a)]. given #124 (H,wt=11): 143 (x * (x \ y)) * z = y * z. [hyper(56,a,10,a)]. given #125 (H,wt=11): 144 x * (y * (y \ z)) = x * z. [hyper(57,a,10,a)]. given #126 (H,wt=11): 145 ((x / y) * y) / z = x / z. [hyper(58,a,12,a)]. given #127 (H,wt=11): 146 (x * (x \ y)) \ z = y \ z. [hyper(60,a,10,a)]. given #128 (H,wt=11): 147 (x * y) / y = (x / z) * z. [hyper(62,a,12,a,b,11,a(flip)),flip(a)]. given #129 (H,wt=10): 280 (x * y) / y != z | x = z. [para(147(a,2),222(a,1))]. given #130 (H,wt=8): 281 x / x != y | 1 = y. [para(7(a,1),280(a,1,1))]. given #131 (H,wt=11): 148 (x / y) * y = z * (z \ x). [hyper(62,a,12,a,b,10,a(flip))]. given #132 (H,wt=11): 150 x \ (x * y) = z * (z \ y). [hyper(62,a,10,a,b,9,a(flip)),flip(a)]. given #133 (H,wt=10): 288 x \ (x * y) != z | y = z. [para(150(a,2),225(a,1))]. given #134 (H,wt=8): 289 x \ x != y | 1 = y. [para(8(a,1),288(a,1,2))]. given #135 (H,wt=10): 290 (x / y) \ x != z | y = z. [para(12(a,1),288(a,1,2))]. given #136 (H,wt=11): 163 x / (y \ x) = z / (y \ z). [hyper(62,a,74,a,b,74,a(flip))]. given #137 (H,wt=11): 164 x / (y \ x) = (y / z) * z. [hyper(62,a,74,a,b,12,a(flip))]. given #138 (H,wt=11): 165 x / (y \ x) = z * (z \ y). [hyper(62,a,74,a,b,10,a(flip))]. given #139 (H,wt=11): 166 (x / (y \ x)) * z = y * z. [hyper(56,a,74,a)]. given #140 (H,wt=11): 172 x / (y / ((z \ x) \ y)) = z. [para(74(a,2),74(a,1,2))]. given #141 (H,wt=11): 173 ((x / y) \ x) * z = y * z. [hyper(56,a,77,a)]. given #142 (H,wt=11): 174 x * ((y / (x \ z)) \ y) = z. [hyper(37,a,9,a,b,77,a(flip))]. given #143 (H,wt=11): 175 ((x / (y / z)) \ x) \ y = z. [hyper(35,a,74,a,b,77,a(flip))]. given #144 (H,wt=11): 188 T(x,L(L(x,y,z),u,w)) = x. [hyper(40,a,25,a,b,160,a(flip))]. given #145 (H,wt=11): 197 (x \ y) * T(x,x \ y) = y. [hyper(62,a,108,a,b,10,a)]. given #146 (H,wt=11): 216 T(x,y) * x = x * T(x,y). [para(161(a,1),108(a,1,2))]. given #147 (H,wt=11): 217 T(x / (x / y),x / y) = y. [hyper(62,a,110,a,b,77,a)]. given #148 (H,wt=11): 227 K(x \ 1,x) = (x \ 1) * x. [hyper(62,a,16,a,b,153,a)]. given #149 (H,wt=11): 229 K(x,1 / x) = x * (1 / x). [hyper(62,a,16,a,b,154,a)]. given #150 (H,wt=11): 236 x / T(y,y \ x) = y \ x. [para(10(a,1),170(a,1,1))]. given #151 (H,wt=11): 275 (x / (y * (y \ z))) * z = x. [hyper(222,a,144,a),flip(a)]. given #152 (H,wt=11): 276 x / (y \ ((x / z) * z)) = y. [hyper(62,a,74,a(flip),b,145,a),flip(a)]. given #153 (H,wt=11): 295 x \ ((y / (x \ y)) * z) = z. [hyper(35,a,11,a,b,163,a),flip(a)]. given #154 (H,wt=11): 298 ((x / y) \ x) * (y \ z) = z. [hyper(273,a,10,a(flip),b,173,a),flip(a)]. given #155 (H,wt=11): 299 x * (((y / x) \ y) \ z) = z. [hyper(225,a,173,a),flip(a)]. given #156 (H,wt=11): 301 (x / y) * ((z / y) \ z) = x. [para(77(a,1),174(a,1,2,1,2))]. given #157 (H,wt=11): 308 K(x \ 1,x) / x = x \ 1. [hyper(128,a,227,a(flip))]. given #158 (H,wt=11): 309 (x \ 1) \ K(x \ 1,x) = x. [hyper(122,a,227,a(flip))]. given #159 (H,wt=12): 91 x \ (1 * (x * y)) = L(y,x,1). [para(7(a,1),18(a,2,1)),flip(a)]. given #160 (H,wt=6): 320 L(x,y,1) = x. [hyper(62,a,65,a(flip),b,91,a),flip(a)]. given #161 (H,wt=10): 322 L(x,y,1) = z \ (z * x). [hyper(273,a,9,a,b,320,a),flip(a)]. given #162 (H,wt=12): 92 (x * 1) \ (x * y) = L(y,1,x). [para(7(a,1),18(a,2,2,2)),flip(a)]. given #163 (H,wt=10): 323 x \ (x * y) = L(y,1,x). [para(8(a,1),92(a,1,1))]. given #164 (H,wt=6): 324 L(x,1,y) = x. [hyper(288,a,323,a),flip(a)]. given #165 (H,wt=9): 325 L(x,1,y) != z | x = z. [para(323(a,1),288(a,1))]. given #166 (H,wt=9): 327 L(x,1,y) != z | z = x. [para(324(a,1),49(a,1)),flip(a)]. given #167 (H,wt=10): 328 x \ (x * y) != z | z = y. [para(322(a,1),327(a,1))]. given #168 (H,wt=10): 329 x * (x \ y) != z | z = y. [para(150(a,1),328(a,1))]. given #169 (H,wt=10): 330 (x / y) * y != z | z = x. [para(77(a,1),329(a,1,2))]. given #170 (H,wt=10): 331 x / (y \ x) != z | z = y. [para(165(a,2),329(a,1))]. given #171 (H,wt=10): 332 (x * y) / y != z | z = x. [para(147(a,2),330(a,1))]. given #172 (H,wt=12): 93 (x * y) \ (x * y) = L(1,y,x). [para(8(a,1),18(a,2,2,2)),flip(a)]. given #173 (H,wt=6): 334 L(1,x,y) = 1. [hyper(289,a,93,a),flip(a)]. given #174 (H,wt=9): 335 L(1,x,y) != z | 1 = z. [para(93(a,1),289(a,1))]. given #175 (H,wt=12): 99 (x * y) / (x * y) = R(1,x,y). [para(7(a,1),20(a,2,1,1)),flip(a)]. given #176 (H,wt=6): 337 R(1,x,y) = 1. [hyper(281,a,99,a),flip(a)]. given #177 (H,wt=9): 338 R(1,x,y) != z | 1 = z. [para(99(a,1),281(a,1))]. given #178 (H,wt=12): 100 ((x * 1) * y) / y = R(x,1,y). [para(7(a,1),20(a,2,2)),flip(a)]. given #179 (H,wt=10): 340 (x * y) / y = R(x,1,y). [para(8(a,1),100(a,1,1,1))]. given #180 (H,wt=6): 341 R(x,1,y) = x. [hyper(332,a,340,a)]. given #181 (H,wt=9): 342 R(x,1,y) != z | x = z. [para(340(a,1),280(a,1))]. given #182 (H,wt=12): 101 (x * y) / (y * 1) = R(x,y,1). [para(8(a,1),20(a,2,1)),flip(a)]. given #183 (H,wt=10): 344 (x * y) / y = R(x,y,1). [para(8(a,1),101(a,1,2))]. given #184 (H,wt=6): 345 R(x,y,1) = x. [hyper(332,a,344,a)]. given #185 (H,wt=12): 119 (x * y) * 1 != x * z | y = z. [para(8(a,2),42(a,1))]. given #186 (H,wt=10): 347 1 * x != y * 1 | y = x. [para(7(a,1),119(a,1,1)),flip(a)]. given #187 (H,wt=12): 120 (x * y) * 1 != x * z | z = y. [para(8(a,2),42(a,2)),flip(a)]. given #188 (H,wt=10): 348 x * y != x * z | z = y. [para(8(a,1),120(a,1))]. given #189 (H,wt=12): 132 T(x,y) != y \ z | x * y = z. [para(22(a,2),46(a,1))]. given #190 (H,wt=12): 185 x * (y * (y \ 1)) != z | x = z. [para(10(a,2),125(a,1,2))]. given #191 (H,wt=12): 186 ((1 / x) * x) \ y != z | y = z. [para(12(a,2),155(a,1,1))]. given #192 (H,wt=12): 192 L(x \ 1,x,y) = (y * x) \ y. [para(69(a,1),18(a,2,2))]. given #193 (H,wt=12): 193 R(1 / x,x,y) = y / (x * y). [para(75(a,1),20(a,2,1))]. given #194 (H,wt=12): 213 x * y != z * x | T(z,x) = y. [para(108(a,1),42(a,1)),flip(a)]. given #195 (H,wt=10): 368 x * y != x | T(1,x) = y. [para(7(a,1),213(a,2))]. given #196 (H,wt=12): 214 x * T(y,x) != z * x | y = z. [para(108(a,2),43(a,1))]. given #197 (H,wt=12): 215 x * T(y,x) != z * x | z = y. [para(108(a,2),43(a,2)),flip(a)]. given #198 (H,wt=12): 221 x * 1 != y * z | x / z = y. [para(149(a,1),43(a,1))]. given #199 (H,wt=12): 224 x * 1 != y * z | y \ x = z. [para(151(a,1),42(a,1))]. given #200 (H,wt=12): 231 ((1 / x) * x) \ y != z | z = y. [para(154(a,1),46(a,1)),flip(a)]. given #201 (H,wt=12): 233 x / (y * (y \ 1)) != z | z = x. [para(157(a,1),45(a,1)),flip(a)]. given #202 (H,wt=12): 239 (x * y) / z != y | T(x,y) = z. [para(170(a,1),44(a,1)),flip(a)]. given #203 (H,wt=12): 242 x * y != z | T(z / x,x) = y. [para(196(a,1),42(a,1)),flip(a)]. given #204 (H,wt=12): 245 T(x,y) != z | (y * z) / y = x. [para(198(a,1),48(a,1)),flip(a)]. given #205 (H,wt=12): 252 x * T(y,x) != z | y * x = z. [para(170(a,1),222(a,1,1))]. given #206 (H,wt=10): 382 x != y | (x / z) * z = y. [para(196(a,1),252(a,1))]. given #207 (H,wt=12): 253 x * y != z | y * T(x,y) = z. [para(199(a,1),222(a,1,1))]. given #208 (H,wt=12): 291 x \ (y * x) != z | T(y,x) = z. [para(108(a,1),288(a,1,2))]. given #209 (H,wt=12): 292 T((x * y) / x,x) != z | y = z. [para(110(a,2),288(a,1))]. given #210 (H,wt=12): 293 x \ (y * (y \ x)) != z | 1 = z. [para(151(a,2),288(a,1,2))]. given #211 (H,wt=12): 333 (x * T(y,x)) / x != z | z = y. [para(200(a,1),331(a,1,2))]. given #212 (H,wt=12): 351 L(x \ 1,x,1 / x) = 1 / x. [hyper(273,a,154,a(flip),b,192,a),flip(a)]. given #213 (H,wt=12): 354 x / L(y \ 1,y,x) = x * y. [hyper(176,a,192,a(flip))]. given #214 (H,wt=12): 355 (x * y) * L(y \ 1,y,x) = x. [hyper(131,a,192,a(flip))]. given #215 (H,wt=12): 360 R(1 / x,x,x \ 1) = x \ 1. [hyper(273,a,157,a(flip),b,193,a),flip(a)]. given #216 (H,wt=12): 362 R(1 / x,x,y) \ y = x * y. [hyper(171,a,193,a(flip))]. given #217 (H,wt=12): 383 T(x / y,y) != z | y \ x = z. [para(10(a,1),292(a,1,1,1))]. given #218 (H,wt=13): 87 x \ ((y \ x) * y) = K(y \ x,y). [para(10(a,1),16(a,2,1)),flip(a)]. given #219 (H,wt=13): 88 ((x \ y) * x) \ y = K(x,x \ y). [para(10(a,1),16(a,2,2)),flip(a)]. given #220 (H,wt=13): 89 x \ (y * (x / y)) = K(y,x / y). [para(12(a,1),16(a,2,1)),flip(a)]. given #221 (H,wt=13): 90 (x * (y / x)) \ y = K(y / x,x). [para(12(a,1),16(a,2,2)),flip(a)]. given #222 (H,wt=13): 115 x != y | z * u != y | z \ x = u. [para(10(a,1),33(a,1))]. given #223 (H,wt=13): 116 x != y | z * u != y | x / u = z. [para(12(a,1),34(a,1))]. given #224 (H,wt=13): 190 x * (x \ y) = y * (z * (z \ 1)). [hyper(62,a,69,a,b,10,a(flip)),flip(a)]. given #225 (H,wt=13): 201 x * (y * (y \ T(z,x))) = z * x. [para(10(a,2),108(a,1,2))]. given #226 (H,wt=13): 209 x * T(T(y,x),z) = T(y,z) * x. [para(23(a,1),108(a,1,2))]. given #227 (H,wt=13): 218 T(T(x / y,z),y) = T(y \ x,z). [para(110(a,1),23(a,1,1)),flip(a)]. given #228 (H,wt=13): 237 (T(x,y) * z) / T(T(x,z),y) = z. [para(23(a,1),170(a,1,2))]. given #229 (H,wt=13): 240 (x * y) / T(y,T(x,y)) = T(x,y). [para(108(a,1),170(a,1,1))]. given #230 (H,wt=13): 243 (x * T(T(y,x),z)) / x = T(y,z). [hyper(39,a,23,a,b,198,a),flip(a)]. given #231 (H,wt=13): 244 T(T((x * y) / x,z),x) = T(y,z). [para(198(a,1),23(a,1,1)),flip(a)]. given #232 (H,wt=13): 246 T((x * y) / x,y) = (x * y) / x. [para(198(a,1),161(a,1,2))]. given #233 (H,wt=13): 260 x * K(y \ x,y) = (y \ x) * y. [para(10(a,1),86(a,1,1))]. given #234 (H,wt=13): 261 x * K(y,x / y) = y * (x / y). [para(12(a,1),86(a,1,1))]. given #235 (H,wt=13): 282 x / K(y,y \ x) = (y \ x) * y. [hyper(34,a,86,a,b,148,a),flip(a)]. given #236 (H,wt=13): 307 x * T(x \ 1,x) = K(x \ 1,x). [hyper(273,a,108,a,b,227,a)]. given #237 (H,wt=13): 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(227(a,2),88(a,1,1))]. given #238 (H,wt=13): 402 K(x,1 / x) \ 1 = K(1 / x,x). [para(229(a,2),90(a,1,1))]. given #239 (H,wt=13): 435 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(273,a,227,a,b,282,a),flip(a)]. given #240 (H,wt=14): 94 (x * y) * L(z,y,x) = x * (y * z). [para(18(a,2),10(a,1,2))]. given #241 (H,wt=12): 439 L(x \ T(y * x,y),x,y) = y. [hyper(33,a,201,a(flip),b,94,a),flip(a)]. given #242 (H,wt=14): 96 L(x \ y,x,z) = (z * x) \ (z * y). [para(10(a,1),18(a,2,2,2))]. given #243 (H,wt=14): 104 R(x,y,z) * (y * z) = (x * y) * z. [para(20(a,2),12(a,1,1))]. given #244 (H,wt=14): 105 R(x / y,y,z) = (x * z) / (y * z). [para(12(a,1),20(a,2,1,1))]. given #245 (H,wt=14): 121 x \ (x * (y * z)) != y * u | z = u. [para(9(a,2),42(a,1))]. given #246 (H,wt=12): 500 x \ x != y * z | y \ 1 = z. [para(69(a,1),121(a,1,2))]. given #247 (H,wt=14): 124 ((x * y) / z) * z != x * u | y = u. [para(12(a,2),42(a,1))]. given #248 (H,wt=14): 126 x \ (x * (y * z)) != u * z | u = y. [para(9(a,2),43(a,2)),flip(a)]. given #249 (H,wt=14): 134 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(23(a,1),48(a,1))]. given #250 (H,wt=14): 167 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(35,a,20,a(flip),b,74,a),flip(a)]. given #251 (H,wt=14): 169 (x * (y * z)) / L(z,y,x) = x * y. [para(18(a,2),74(a,1,2))]. given #252 (H,wt=14): 189 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(68(a,1),20(a,2,1))]. given #253 (H,wt=14): 195 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(76(a,1),18(a,2,2))]. given #254 (H,wt=14): 226 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(62,a,18,a,b,153,a),flip(a)]. given #255 (H,wt=14): 228 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(62,a,18,a,b,154,a),flip(a)]. given #256 (H,wt=14): 232 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(62,a,20,a,b,157,a),flip(a)]. given #257 (H,wt=14): 234 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(62,a,20,a,b,158,a),flip(a)]. given #258 (H,wt=14): 254 (x * y) * K(y,x) != z | y * x = z. [para(16(a,2),225(a,1,2))]. given #259 (H,wt=14): 256 L(x \ (y \ z),x,y) = (y * x) \ z. [para(70(a,1),18(a,2,2))]. given #260 (H,wt=14): 258 (R(x,y,z) * (y * z)) / z = x * y. [para(20(a,2),81(a,1,1,1))]. given #261 (H,wt=14): 259 R((x / y) / z,z,y) = x / (z * y). [para(82(a,1),20(a,2,1))]. given #262 (H,wt=14): 264 (x * y) * z != y * x | K(y,x) = z. [para(86(a,1),42(a,1)),flip(a)]. given #263 (H,wt=14): 265 (x * y) * K(y,x) != y * z | x = z. [para(86(a,2),42(a,1))]. given #264 (H,wt=14): 266 (x * y) * K(y,x) != y * z | z = x. [para(86(a,2),42(a,2)),flip(a)]. given #265 (H,wt=14): 274 ((x / y) * y) * z != u | x \ u = z. [para(142(a,2),122(a,1))]. given #266 (H,wt=14): 277 (x * y) / y != z * u | x / u = z. [para(147(a,2),43(a,1))]. given #267 (H,wt=14): 278 x / y != (z / u) * u | z * y = x. [para(147(a,1),45(a,1)),flip(a)]. given #268 (H,wt=14): 279 ((x / y) * y) * z != u | x * z = u. [para(147(a,1),222(a,1,1))]. given #269 (H,wt=14): 283 (x / y) * y != z * u | z \ x = u. [para(148(a,2),42(a,1))]. given #270 (H,wt=14): 284 x * (x \ y) != z * u | y / u = z. [para(148(a,1),43(a,1))]. given #271 (H,wt=14): 285 x \ (x * y) != z * u | z \ y = u. [para(150(a,2),42(a,1))]. given #272 (H,wt=14): 286 x \ y != z * (z \ u) | x * u = y. [para(150(a,1),46(a,1)),flip(a)]. given #273 (H,wt=14): 287 x * (y * (y \ z)) != u | x * z = u. [para(150(a,1),225(a,1,2))]. given #274 (H,wt=14): 294 (x * y) \ (y * x) != z | K(y,x) = z. [para(86(a,1),288(a,1,2))]. given #275 (H,wt=14): 296 x / (y \ x) != z * u | y / u = z. [para(164(a,2),43(a,1))]. given #276 (H,wt=14): 297 (x * (x \ y)) \ z != u | y \ z = u. [para(165(a,1),290(a,1,1))]. given #277 (H,wt=14): 300 ((x / y) \ x) * z != u | y \ u = z. [para(173(a,2),122(a,1))]. given #278 (H,wt=14): 303 (x \ y) * z != y | T(x,x \ y) = z. [para(197(a,1),42(a,1)),flip(a)]. given #279 (H,wt=14): 304 (x \ y) \ y != z | T(x,x \ y) = z. [para(197(a,1),288(a,1,2))]. given #280 (H,wt=14): 305 T(x,y) * x != x * z | T(x,y) = z. [para(216(a,2),42(a,1))]. given #281 (H,wt=14): 311 K(x \ 1,x) != y * x | x \ 1 = y. [para(227(a,2),43(a,1))]. given #282 (H,wt=14): 313 x \ y != y / z | T(x,x \ y) = z. [para(236(a,1),44(a,1))]. given #283 (H,wt=14): 316 x * ((y / z) \ y) != u | u / z = x. [para(301(a,1),43(a,1)),flip(a)]. given #284 (H,wt=14): 318 x \ 1 != y / x | K(x \ 1,x) = y. [para(308(a,1),45(a,1))]. given #285 (H,wt=14): 319 (x \ 1) * x != y | K(x \ 1,x) = y. [para(308(a,1),222(a,1,1))]. given #286 (H,wt=14): 349 K(x,1 / x) != y | x * (1 / x) = y. [para(16(a,2),186(a,1))]. given #287 (H,wt=14): 352 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(273,a,146,a(flip),b,192,a),flip(a)]. given #288 (H,wt=14): 356 L(x \ 1,x,y / x) = y \ (y / x). [para(12(a,1),192(a,2,1))]. given #289 (H,wt=14): 363 R(1 / x,x,x \ y) = (x \ y) / y. [para(10(a,1),193(a,2,2))]. given #290 (H,wt=14): 364 R(1 / (x / y),x / y,y) = y / x. [para(12(a,1),193(a,2,2))]. given #291 (H,wt=14): 376 (x / y) * y != z * u | x / u = z. [para(149(a,2),221(a,1))]. given #292 (H,wt=14): 378 x * (x \ y) != z * u | z \ y = u. [para(151(a,2),224(a,1))]. given #293 (H,wt=14): 386 x / L(y,1 / y,x) = x * (1 / y). [para(77(a,1),354(a,1,2,1))]. given #294 (H,wt=14): 392 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(74(a,1),362(a,1,1,1))]. given #295 (H,wt=14): 394 T(x,x \ y) != z | (x \ y) \ y = z. [para(74(a,1),383(a,1,1))]. given #296 (H,wt=14): 398 K(x \ 1,x) != y | (x \ 1) * x = y. [para(87(a,1),155(a,1))]. given #297 (H,wt=14): 403 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(115,a,20,a,b,157,a(flip))]. given #298 (H,wt=14): 404 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(115,a,18,a,b,154,a(flip))]. given #299 (H,wt=14): 405 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(115,a,18,a,b,153,a(flip))]. given #300 (H,wt=14): 407 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(116,a,192,a,b,7,a)]. given #301 (H,wt=14): 408 R(x,1 / y,y) / y = x * (1 / y). [hyper(116,a,20,a,b,158,a(flip))]. given #302 (H,wt=14): 409 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(116,a,20,a,b,157,a(flip))]. given #303 (H,wt=14): 410 L(x,y,1 / y) / (y * x) = 1 / y. [hyper(116,a,18,a,b,154,a(flip))]. given #304 (H,wt=14): 411 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(116,a,192,a(flip),b,7,a)]. given #305 (H,wt=14): 424 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(243(a,1),292(a,1,1))]. given #306 (H,wt=14): 433 x * (1 / x) != y | K(x,1 / x) = y. [para(261(a,1),117(a,1))]. given #307 (H,wt=14): 436 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(115,a,94,a,b,xx)]. given #308 (H,wt=14): 440 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(33,a,70,a(flip),b,94,a),flip(a)]. given #309 (H,wt=14): 455 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(273,a,154,a(flip),b,96,a),flip(a)]. given #310 (H,wt=14): 456 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(273,a,153,a(flip),b,96,a),flip(a)]. given #311 (H,wt=14): 467 R(x / y,y,z) \ (x * z) = y * z. [hyper(115,a,142,a(flip),b,104,a)]. given #312 (H,wt=14): 488 R(x / (1 / y),1 / y,y) = x * y. [hyper(273,a,158,a(flip),b,105,a),flip(a)]. given #313 (H,wt=14): 489 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(273,a,157,a(flip),b,105,a),flip(a)]. given #314 (H,wt=14): 503 x \ (x * y) != z * u | y / u = z. [para(12(a,1),126(a,1,2,2)),flip(b)]. given #315 (H,wt=14): 508 K(x,1 / x) \ x = L(x,1 / x,x). [para(229(a,2),195(a,2,1)),flip(a)]. given #316 (H,wt=14): 512 x * K(x \ 1,x) = L(x,x \ 1,x). [para(227(a,2),226(a,1,2))]. given #317 (H,wt=14): 524 (x * (x \ y)) * z != u | y * z = u. [para(74(a,1),279(a,1,1,1))]. given #318 (H,wt=14): 525 (x / (y \ x)) * z != u | y * z = u. [para(164(a,2),279(a,1,1))]. given #319 (H,wt=14): 528 x * y != z | x \ (u * (u \ z)) = y. [para(80(a,1),283(a,1)),flip(a)]. given #320 (H,wt=14): 530 (x * y) / y != z * u | z \ x = u. [para(147(a,2),283(a,1))]. given #321 (H,wt=14): 539 (x / y) \ x != z * u | z \ y = u. [para(12(a,1),285(a,1,2))]. given #322 (H,wt=14): 574 K(x,1 / x) * L(x,1 / x,x) = x. [hyper(131,a,508,a)]. given #323 (H,wt=15): 205 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(108(a,1),16(a,2,1)),flip(a)]. given #324 (H,wt=15): 210 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(25(a,2),108(a,1,2))]. given #325 (H,wt=15): 211 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(27(a,2),108(a,1,2))]. given #326 (H,wt=15): 212 x * y != z | y * u != z | T(x,y) = u. [para(108(a,1),33(a,1))]. given #327 (H,wt=13): 592 T(x / y,(z / y) \ z) = y \ x. [hyper(212,a,301,a,b,298,a)]. given #328 (H,wt=15): 219 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(110(a,1),25(a,1,1)),flip(a)]. given #329 (H,wt=15): 220 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(110(a,1),27(a,1,1)),flip(a)]. given #330 (H,wt=14): 596 T(x / (y * x),y) = R(y \ 1,y,x). [para(193(a,1),220(a,1,1))]. given #331 (H,wt=14): 597 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(360(a,1),220(a,1,1)),flip(a)]. given #332 (H,wt=15): 238 (R(x,y,z) * u) / R(T(x,u),y,z) = u. [para(27(a,2),170(a,1,2))]. given #333 (H,wt=15): 248 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(25(a,2),200(a,1,2,2))]. given #334 (H,wt=15): 267 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(61,a,109,a)]. given #335 (H,wt=15): 268 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(59,a,109,a)]. given #336 (H,wt=15): 269 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(57,a,109,a)]. given #337 (H,wt=15): 270 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(56,a,109,a)]. given #338 (H,wt=15): 271 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(109(a,1),23(a,1,1)),flip(a)]. given #339 (H,wt=15): 306 T(x / (x / y),(z / (x / y)) \ z) = y. [para(77(a,2),217(a,1,2))]. given #340 (H,wt=15): 315 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(236(a,1),298(a,1,1,1))]. given #341 (H,wt=15): 317 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(236(a,1),301(a,1,2,1))]. given #342 (H,wt=15): 385 x / y != x * z | L(z \ 1,z,x) = y. [para(354(a,1),44(a,1)),flip(a)]. given #343 (H,wt=15): 387 (x * y) * z != x | L(y \ 1,y,x) = z. [para(354(a,1),123(a,1,1)),flip(b)]. given #344 (H,wt=15): 388 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(354(a,1),290(a,1,1))]. given #345 (H,wt=15): 393 x / (y * x) != z | R(1 / y,y,x) = z. [para(362(a,1),331(a,1,2)),flip(b)]. given #346 (H,wt=15): 397 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(9(a,1),87(a,2,1)),flip(a)]. given #347 (H,wt=11): 620 K(x \ (x * y),x) = K(y,x). [hyper(273,a,87,a(flip),b,397,a)]. given #348 (H,wt=11): 621 K(x \ (x * y),z) = K(y,z). [para(67(a,1),620(a,1,1)),flip(a)]. given #349 (H,wt=11): 622 K((x / y) \ x,z) = K(y,z). [para(12(a,1),621(a,1,1,2))]. given #350 (H,wt=15): 399 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(108(a,2),87(a,1,2))]. given #351 (H,wt=15): 406 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(115,a,109,a(flip),b,12,a)]. given #352 (H,wt=15): 413 x * T(x \ (y * x),z) = T(y,z) * x. [para(22(a,1),209(a,1,2,1))]. given #353 (H,wt=15): 416 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(161(a,1),209(a,1,2,1))]. given #354 (H,wt=15): 417 T(x / y,z) * y = y * T(y \ x,z). [para(110(a,1),209(a,1,2,1)),flip(a)]. given #355 (H,wt=15): 418 T((x * y) / x,z) * x = x * T(y,z). [para(198(a,1),209(a,1,2,1)),flip(a)]. given #356 (H,wt=15): 420 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(245,a,218,a)]. given #357 (H,wt=15): 422 (x * T(y,z)) / x = T((x * y) / x,z). [para(198(a,1),243(a,1,1,2,1))]. given #358 (H,wt=15): 545 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(352(a,1),160(a,1,2))]. given #359 (H,wt=15): 566 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(456(a,1),160(a,1,2))]. given #360 (H,wt=13): 630 T(x * y,(x \ 1) \ y) = x * y. [hyper(53,a,566,a)]. given #361 (H,wt=15): 606 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(332,a,268,a)]. given #362 (H,wt=15): 609 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(212,a,270,a,b,108,a)]. given #363 (H,wt=15): 610 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(115,a,270,a,b,xx)]. given #364 (H,wt=16): 83 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(14(a,2),10(a,1,2))]. given #365 (H,wt=16): 95 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(10(a,1),18(a,2,1)),flip(a)]. given #366 (H,wt=16): 97 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(12(a,1),18(a,2,1)),flip(a)]. given #367 (H,wt=16): 98 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(12(a,1),18(a,2,2,2))]. given #368 (H,wt=16): 102 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(10(a,1),20(a,2,1,1))]. given #369 (H,wt=16): 106 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(12(a,1),20(a,2,2)),flip(a)]. given #370 (H,wt=16): 135 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(25(a,2),48(a,1)),flip(a)]. given #371 (H,wt=16): 136 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(27(a,2),48(a,1)),flip(a)]. given #372 (H,wt=16): 137 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(25(a,1),49(a,1))]. given #373 (H,wt=16): 140 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(27(a,1),50(a,1))]. given #374 (H,wt=16): 168 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(14(a,2),74(a,1,2))]. given #375 (H,wt=16): 191 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(69(a,1),14(a,2,1)),flip(a)]. given #376 (H,wt=15): 641 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(232(a,1),191(a,1,2))]. given #377 (H,wt=15): 642 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(131,a,641,a)]. given #378 (H,wt=16): 194 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(76(a,1),14(a,2,1)),flip(a)]. given #379 (H,wt=15): 644 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(234(a,1),194(a,1,2))]. given #380 (H,wt=16): 207 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(108(a,1),18(a,2,2,2)),flip(a)]. given #381 (H,wt=12): 645 L(T(x,y),y,x) = T(x,x * y). [hyper(291,a,207,a),flip(a)]. given #382 (H,wt=12): 647 T(L(x,y,x),y) = T(x,x * y). [hyper(62,a,25,a(flip),b,645,a)]. given #383 (H,wt=14): 650 x * T(y,y * x) = L(y,x,y) * x. [para(645(a,1),210(a,1,2))]. given #384 (H,wt=14): 652 (x * T(y,y * x)) / x = L(y,x,y). [hyper(245,a,647,a)]. given #385 (H,wt=14): 653 T((x * y) / x,y * x) = L(y,x,y). [hyper(39,a,244,a,b,647,a)]. given #386 (H,wt=16): 263 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(86(a,1),20(a,2,1)),flip(a)]. given #387 (H,wt=16): 314 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(20(a,2),275(a,1,1))]. given #388 (H,wt=16): 353 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(60,a,192,a)]. given #389 (H,wt=16): 357 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(192(a,1),25(a,2,1)),flip(a)]. given #390 (H,wt=16): 361 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(56,a,193,a)]. given #391 (H,wt=16): 365 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(193(a,1),27(a,2,1)),flip(a)]. given #392 (H,wt=16): 367 R(1 / x,x,T(y,x)) = T(y,x) / (y * x). [para(108(a,1),193(a,2,2))]. given #393 (H,wt=16): 369 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(9(a,2),213(a,2)),flip(a)]. given #394 (H,wt=16): 370 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(108(a,1),213(a,2))]. given #395 (H,wt=16): 371 x * (y * (y \ z)) != z * u | T(x,z) = u. [para(144(a,2),213(a,2)),flip(a)]. given #396 (H,wt=16): 373 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(23(a,1),214(a,1,2))]. given #397 (H,wt=16): 374 x * (y * (y \ 1)) != z * u | x / u = z. [para(10(a,2),221(a,1,2))]. given #398 (H,wt=16): 375 x * ((1 / y) * y) != z * u | x / u = z. [para(12(a,2),221(a,1,2))]. given #399 (H,wt=16): 377 x * (y * (y \ 1)) != z * u | z \ x = u. [para(10(a,2),224(a,1,2))]. given #400 (H,wt=16): 379 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(23(a,1),252(a,1,2))]. given #401 (H,wt=16): 384 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(351(a,1),25(a,2,1))]. given #402 (H,wt=14): 673 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(273,a,110,a(flip),b,384,a),flip(a)]. given #403 (H,wt=16): 389 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(354(a,1),298(a,1,1,1))]. given #404 (H,wt=16): 390 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(354(a,1),299(a,1,2,1,1))]. given #405 (H,wt=16): 395 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(170(a,1),383(a,1,1))]. given #406 (H,wt=16): 400 x * K(y \ x,y) != z | (y \ x) * y = z. [para(87(a,1),225(a,1,2))]. given #407 (H,wt=16): 412 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(201(a,1),18(a,2,2))]. given #408 (H,wt=12): 676 K(x,y) = L(x \ T(x,y),x,y). [hyper(273,a,16,a,b,412,a)]. given #409 (H,wt=15): 678 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(412(a,2),294(a,1))]. given #410 (H,wt=16): 415 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(209(a,1),42(a,1))]. given #411 (H,wt=16): 425 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(244(a,1),48(a,2)),flip(b)]. given #412 (H,wt=16): 430 (x \ y) * x != y * z | K(x \ y,x) = z. [para(260(a,1),42(a,1))]. given #413 (H,wt=16): 431 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(260(a,1),288(a,1,2))]. given #414 (H,wt=16): 432 x * (y / x) != y * z | K(x,y / x) = z. [para(261(a,1),42(a,1))]. given #415 (H,wt=16): 434 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(261(a,1),288(a,1,2))]. given #416 (H,wt=16): 437 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(62,a,143,a(flip),b,94,a)]. given #417 (H,wt=16): 438 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(62,a,142,a(flip),b,94,a)]. given #418 (H,wt=14): 683 L(x \ y,x,y / x) = T(y / x,y). [hyper(212,a,144,a(flip),b,438,a),flip(a)]. given #419 (H,wt=16): 457 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(273,a,146,a(flip),b,96,a),flip(a)]. given #420 (H,wt=16): 459 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(12(a,1),96(a,2,1))]. given #421 (H,wt=16): 460 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(12(a,1),96(a,2,2))]. given #422 (H,wt=16): 466 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(115,a,143,a(flip),b,104,a)]. given #423 (H,wt=16): 470 R(x,y / z,z) * y = (x * (y / z)) * z. [para(12(a,1),104(a,1,2))]. given #424 (H,wt=16): 490 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(10(a,1),105(a,2,1))]. given #425 (H,wt=16): 491 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(10(a,1),105(a,2,2))]. given #426 (H,wt=16): 492 R(x / (y / z),y / z,z) = (x * z) / y. [para(12(a,1),105(a,2,2))]. given #427 (H,wt=16): 501 x \ (y * (y \ x)) != z * u | z \ 1 = u. [para(190(a,2),121(a,1,2))]. given #428 (H,wt=16): 502 x \ (y * x) != z * u | z \ T(y,x) = u. [para(201(a,1),121(a,1,2))]. given #429 (H,wt=16): 506 (x * y) / L(z,y / z,x) = x * (y / z). [para(12(a,1),169(a,1,1,2))]. given #430 (H,wt=16): 507 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(108(a,1),169(a,1,1,2))]. given #431 (H,wt=16): 514 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(108(a,1),228(a,1,2)),flip(a)]. given #432 (H,wt=13): 698 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(62,a,673,a(flip),b,514,a),flip(a)]. given #433 (H,wt=13): 701 (1 / x) * K(x \ 1,x) = x \ 1. [para(227(a,2),698(a,1,2))]. given #434 (H,wt=16): 527 x * T(y,x) != z * u | z \ (y * x) = u. [para(170(a,1),283(a,1,1))]. given #435 (H,wt=16): 534 x * T(y,x) != z * u | (y * x) / u = z. [para(22(a,2),284(a,1,2))]. given #436 (H,wt=16): 535 (x * (x \ 1)) * y != z * u | y / u = z. [para(153(a,1),284(a,1,2))]. given #437 (H,wt=16): 536 ((1 / x) * x) * y != z * u | y / u = z. [para(154(a,1),284(a,1,2))]. given #438 (H,wt=16): 540 (x * (x \ 1)) * y != z * u | z \ y = u. [para(153(a,1),285(a,1))]. given #439 (H,wt=16): 541 ((1 / x) * x) * y != z * u | z \ y = u. [para(154(a,1),285(a,1))]. given #440 (H,wt=16): 567 R(x / y,y,x \ z) \ z = y * (x \ z). [para(10(a,1),467(a,1,2))]. given #441 (H,wt=16): 575 (x * T(y,x)) / x != z * u | z \ y = u. [para(108(a,2),530(a,1,1))]. given #442 (H,wt=16): 598 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(105(a,1),220(a,1,1))]. given #443 (H,wt=16): 599 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(259(a,1),220(a,1,1)),flip(a)]. given #444 (H,wt=16): 601 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(489(a,1),220(a,1,1)),flip(a)]. given #445 (H,wt=16): 602 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(596(a,1),108(a,1,2)),flip(a)]. given #446 (H,wt=16): 627 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(420(a,1),292(a,1,1))]. given #447 (H,wt=16): 648 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(645(a,1),25(a,2,1))]. given #448 (H,wt=16): 670 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(329,a,361,a)]. given #449 (H,wt=16): 671 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(383,a,365,a),flip(a)]. given #450 (H,wt=16): 704 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(9(a,1),598(a,2,1)),flip(a)]. given #451 (H,wt=12): 715 T(R(x,y,x),y * x) = T(x,y). [para(704(a,2),244(a,1,1))]. given #452 (H,wt=12): 716 R(T(x,y * x),y,x) = T(x,y). [hyper(62,a,27,a,b,715,a)]. given #453 (H,wt=14): 720 R(T(x,y),y / x,x) = T(x,y / x). [para(12(a,1),716(a,1,1,2))]. given #454 (H,wt=12): 723 R(x,1 / x,x) = T(x,1 / x). [para(177(a,1),720(a,1,1))]. given #455 (H,wt=13): 724 T(x,1 / x) / x = x * (1 / x). [hyper(116,a,723,a(flip),b,234,a)]. given #456 (H,wt=13): 727 T(x,1 / x) / x = K(x,1 / x). [hyper(273,a,229,a,b,724,a),flip(a)]. given #457 (H,wt=15): 719 R(x,y,z) != T(z,y) | T(z,y * z) = x. [para(715(a,1),140(a,1)),flip(a)]. given #458 (H,wt=16): 707 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(9(a,1),601(a,1,1)),flip(a)]. given #459 (H,wt=16): 725 R(T(x,y),1 / x,x) = T(T(x,1 / x),y). [para(723(a,1),27(a,2,1))]. given #460 (H,wt=17): 111 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(27(a,2),23(a,1,1)),flip(a)]. given #461 (H,wt=17): 112 (x * y) * ((1 / x) * z) = x * ((y / x) * z). [para(12(a,1),32(a,1,1,2))]. given #462 (H,wt=17): 130 R(x,y,z) != u / (y * z) | (x * y) * z = u. [para(20(a,2),45(a,1))]. given #463 (H,wt=17): 133 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(18(a,2),47(a,1)),flip(a)]. given #464 (H,wt=17): 251 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(20(a,2),222(a,1,1))]. given #465 (H,wt=17): 255 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(18(a,2),225(a,1,2))]. given #466 (H,wt=17): 272 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(109(a,2),109(a,1,2))]. given #467 (H,wt=17): 302 T(x \ y,T(x,x \ y)) = T(x,x \ y) \ y. [para(197(a,1),22(a,2,2))]. given #468 (H,wt=17): 350 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(18(a,2),186(a,1))]. given #469 (H,wt=17): 414 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(23(a,1),209(a,1,2,1))]. given #470 (H,wt=17): 450 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(94(a,1),42(a,1)),flip(a)]. given #471 (H,wt=17): 451 (x * y) * L(z,y,x) != x * u | y * z = u. [para(94(a,2),42(a,1))]. given #472 (H,wt=17): 453 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(94(a,1),288(a,1,2))]. given #473 (H,wt=15): 742 x \ (1 * (x * y)) != z | L(y,x,1) = z. [para(7(a,1),453(a,1,1))]. given #474 (H,wt=9): 747 x != y | L(x,z,1) = y. [para(65(a,1),742(a,1))]. given #475 (H,wt=17): 477 R(x,y,z) * (y * z) != (x * y) * u | u = z. [para(104(a,2),42(a,2)),flip(a)]. given #476 (H,wt=17): 478 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(104(a,1),43(a,1))]. given #477 (H,wt=17): 479 R(x,y,z) * (y * z) != u * z | x * y = u. [para(104(a,2),43(a,1))]. given #478 (H,wt=17): 482 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(104(a,1),280(a,1,1))]. given #479 (H,wt=17): 483 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(104(a,2),280(a,1,1))]. given #480 (H,wt=17): 485 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(104(a,1),185(a,1))]. given #481 (H,wt=17): 496 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(105(a,2),233(a,1)),flip(b)]. given #482 (H,wt=17): 511 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(226(a,1),42(a,1))]. given #483 (H,wt=17): 544 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(226(a,1),287(a,1))]. given #484 (H,wt=17): 555 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(386(a,1),44(a,1)),flip(a)]. given #485 (H,wt=17): 556 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(392(a,1),47(a,1)),flip(a)]. given #486 (H,wt=17): 558 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(404(a,1),225(a,1,2))]. given #487 (H,wt=17): 559 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(405(a,1),225(a,1,2))]. given #488 (H,wt=17): 560 x / y != z * (1 / y) | R(z,1 / y,y) = x. [para(408(a,1),45(a,1)),flip(a)]. given #489 (H,wt=17): 569 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(467(a,1),331(a,1,2)),flip(b)]. given #490 (H,wt=17): 578 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(22(a,1),210(a,1,2,1))]. given #491 (H,wt=17): 581 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(110(a,1),210(a,1,2,1)),flip(a)]. given #492 (H,wt=16): 756 L(1 / x,x,y) * x = x * ((y * x) \ y). [para(192(a,1),581(a,2,2))]. given #493 (H,wt=16): 757 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(128,a,756,a)]. given #494 (H,wt=17): 582 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(198(a,1),210(a,1,2,1)),flip(a)]. given #495 (H,wt=17): 588 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(110(a,1),211(a,1,2,1)),flip(a)]. given #496 (H,wt=17): 589 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(198(a,1),211(a,1,2,1)),flip(a)]. given #497 (H,wt=17): 594 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(245,a,219,a)]. given #498 (H,wt=16): 774 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(676(a,2),594(a,1,1,2)),flip(a)]. given #499 (H,wt=17): 595 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(245,a,220,a)]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 763 (0.00 of 5.33 sec). given #500 (H,wt=17): 618 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(12(a,1),388(a,1,1))]. given #501 (H,wt=17): 629 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(110(a,1),422(a,1,1,2)),flip(a)]. given #502 (H,wt=17): 654 x * T(y,y * x) != z * x | L(y,x,y) = z. [para(647(a,1),214(a,1,2))]. given #503 (H,wt=17): 674 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(115,a,384,a(flip),b,228,a)]. given #504 (H,wt=17): 700 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(77(a,1),698(a,1,2,1))]. given #505 (H,wt=13): 782 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(273,a,77,a(flip),b,700,a),flip(a)]. given #506 (H,wt=13): 784 (1 / (1 / x)) * K(x,1 / x) = x. [para(229(a,2),782(a,1,2))]. given #507 (H,wt=17): 706 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(62,a,232,a,b,601,a)]. given #508 (H,wt=17): 721 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(716(a,1),104(a,1,1)),flip(a)]. given #509 (H,wt=17): 722 R(x,y / z,z) != T(z,y / z) | T(z,y) = x. [para(720(a,1),50(a,1)),flip(a)]. given #510 (H,wt=17): 731 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(273,a,27,a,b,111,a)]. given #511 (H,wt=17): 743 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(70(a,1),453(a,1,2))]. given #512 (H,wt=17): 752 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(82(a,1),482(a,1,1))]. given #513 (H,wt=17): 753 L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. [para(309(a,1),544(a,1,1))]. given #514 (H,wt=17): 754 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(227(a,2),559(a,1,2))]. given #515 (H,wt=17): 759 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(128,a,582,a),flip(a)]. given #516 (H,wt=17): 764 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(128,a,589,a),flip(a)]. given #517 (H,wt=17): 765 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(122,a,589,a)]. given #518 (H,wt=18): 84 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(10(a,1),14(a,2,2,1)),flip(a)]. given #519 (H,wt=18): 85 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(12(a,1),14(a,2,2,1)),flip(a)]. given #520 (H,wt=18): 103 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(10(a,1),20(a,2,1))]. given #521 (H,wt=18): 138 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(29(a,2),49(a,1))]. given #522 (H,wt=18): 139 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(30(a,1),49(a,1))]. given #523 (H,wt=18): 141 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(29(a,1),50(a,1)),flip(a)]. given #524 (H,wt=18): 206 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(108(a,1),18(a,2,1)),flip(a)]. given #525 (H,wt=18): 208 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(108(a,1),20(a,2,1,1)),flip(a)]. given #526 (H,wt=18): 230 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(62,a,14,a,b,154,a),flip(a)]. given #527 (H,wt=18): 358 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(192(a,1),29(a,1,1))]. given #528 (H,wt=18): 359 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(192(a,1),30(a,1,1)),flip(a)]. given #529 (H,wt=17): 805 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(351(a,1),359(a,1,1)),flip(a)]. given #530 (H,wt=18): 366 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(193(a,1),31(a,1,1)),flip(a)]. given #531 (H,wt=18): 380 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(25(a,2),252(a,1,2))]. given #532 (H,wt=18): 381 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(27(a,2),252(a,1,2))]. given #533 (H,wt=18): 421 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(218(a,1),252(a,1,2))]. given #534 (H,wt=18): 427 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(244(a,1),214(a,1,2))]. given #535 (H,wt=18): 428 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(244(a,1),333(a,1,1,2)),flip(b)]. given #536 (H,wt=18): 447 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(25(a,1),94(a,1,2))]. given #537 (H,wt=18): 452 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(108(a,1),94(a,1,1))]. given #538 (H,wt=18): 458 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(273,a,89,a(flip),b,96,a),flip(a)]. given #539 (H,wt=18): 462 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(108(a,1),96(a,2,1))]. given #540 (H,wt=18): 463 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(229(a,2),96(a,2,2))]. given #541 (H,wt=18): 474 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(27(a,1),104(a,1,1))]. given #542 (H,wt=18): 480 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(108(a,1),104(a,1,2))]. given #543 (H,wt=14): 819 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(33,a,211,a,b,480,a(flip))]. given #544 (H,wt=18): 493 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(105(a,1),27(a,2,1)),flip(a)]. given #545 (H,wt=18): 510 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(115,a,25,a(flip),b,226,a)]. given #546 (H,wt=18): 516 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(116,a,27,a(flip),b,232,a)]. given #547 (H,wt=18): 517 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(115,a,232,a(flip),b,108,a)]. given #548 (H,wt=18): 519 T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). [hyper(116,a,27,a(flip),b,234,a)]. given #549 (H,wt=18): 521 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(77(a,1),256(a,1,1))]. given #550 (H,wt=18): 522 x / T(y,y \ x) != z * u | (y \ x) / u = z. [para(197(a,1),277(a,1,1))]. given #551 (H,wt=18): 529 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(147(a,1),283(a,1,1))]. given #552 (H,wt=18): 532 (x * y) * K(y,x) != z * u | (y * x) / u = z. [para(16(a,2),284(a,1,2))]. given #553 (H,wt=18): 537 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(150(a,1),284(a,1,2))]. given #554 (H,wt=18): 542 (x \ y) \ y != z * u | z \ T(x,x \ y) = u. [para(197(a,1),285(a,1,2))]. given #555 (H,wt=18): 546 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(363(a,1),27(a,2,1)),flip(a)]. given #556 (H,wt=16): 825 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(383,a,546,a),flip(a)]. given #557 (H,wt=18): 548 (((x / y) / z) * z) * y != u * w | x / w = u. [para(12(a,2),376(a,1,1))]. given #558 (H,wt=18): 549 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(147(a,1),376(a,1,1))]. given #559 (H,wt=18): 552 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(10(a,2),378(a,1,2))]. given #560 (H,wt=18): 554 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(150(a,1),378(a,1,2))]. given #561 (H,wt=12): 829 x * y != z | x \ (z * 1) = y. [para(69(a,1),554(a,1)),flip(a)]. given #562 (H,wt=18): 563 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(455(a,1),25(a,2,1))]. given #563 (H,wt=17): 830 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(62,a,514,a(flip),b,563,a)]. given #564 (H,wt=17): 833 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(9(a,1),830(a,1,2,1)),flip(a)]. given #565 (H,wt=18): 565 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(456(a,1),25(a,2,1))]. given #566 (H,wt=18): 568 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(108(a,1),467(a,1,2))]. given #567 (H,wt=18): 576 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(62,a,94,a(flip),b,210,a)]. given #568 (H,wt=18): 577 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(115,a,210,a(flip),b,94,a(flip))]. given #569 (H,wt=18): 580 L(x,y,z) * u != u * w | L(T(x,u),y,z) = w. [para(210(a,1),42(a,1))]. given #570 (H,wt=18): 584 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(273,a,104,a(flip),b,211,a),flip(a)]. given #571 (H,wt=13): 838 (x * y) * T(y,x) = (y * x) * y. [para(716(a,1),584(a,1,2))]. given #572 (H,wt=13): 840 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(115,a,68,a(flip),b,838,a)]. given #573 (H,wt=13): 842 K(x \ 1,x) \ x = T(x,x \ 1). [para(227(a,2),840(a,1,1))]. given #574 (H,wt=13): 843 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(273,a,109,a(flip),b,842,a),flip(a)]. given #575 (H,wt=13): 844 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(131,a,843,a)]. given #576 (H,wt=15): 839 (x * (y / x)) * x = y * T(x,y / x). [hyper(279,a,838,a),flip(a)]. given #577 (H,wt=18): 585 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(115,a,104,a(flip),b,211,a)]. given #578 (H,wt=18): 587 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(211(a,1),42(a,1))]. given #579 (H,wt=18): 593 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(212,a,94,a(flip),b,142,a(flip))]. given #580 (H,wt=18): 600 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(364(a,1),220(a,1,1)),flip(a)]. given #581 (H,wt=18): 605 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(267(a,1),46(a,1))]. given #582 (H,wt=18): 607 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(268(a,1),129(a,1))]. given #583 (H,wt=18): 617 T((x \ y) \ y,z) != u | T(T(x,x \ y),z) = u. [para(271(a,1),424(a,1))]. given #584 (H,wt=18): 623 T(x / y,z) * y != y * u | T(y \ x,z) = u. [para(417(a,2),42(a,1))]. given #585 (H,wt=18): 626 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(420(a,1),222(a,1,1))]. given #586 (H,wt=18): 632 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(610(a,1),225(a,1,2))]. given #587 (H,wt=18): 634 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(10(a,1),83(a,1,1,2))]. given #588 (H,wt=18): 638 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(108(a,1),97(a,1,2,2)),flip(a)]. given #589 (H,wt=18): 643 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(642(a,1),288(a,1,2))]. given #590 (H,wt=18): 649 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(645(a,1),29(a,1,1)),flip(a)]. given #591 (H,wt=18): 656 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(10(a,1),650(a,1,2,2)),flip(a)]. given #592 (H,wt=18): 658 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(10(a,1),652(a,1,1,2,2))]. given #593 (H,wt=18): 660 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(10(a,1),653(a,1,2))]. given #594 (H,wt=18): 661 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(653(a,1),23(a,1,1)),flip(a)]. given #595 (H,wt=18): 663 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(62,a,211,a,b,314,a)]. given #596 (H,wt=18): 664 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(115,a,314,a(flip),b,211,a)]. given #597 (H,wt=18): 665 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(9(a,1),314(a,1,1,3))]. given #598 (H,wt=18): 672 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(22(a,1),379(a,1,2,1))]. given #599 (H,wt=18): 679 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(108(a,2),431(a,1,2))]. given #600 (H,wt=18): 687 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(10(a,1),466(a,1,2))]. given #601 (H,wt=18): 688 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(12(a,1),466(a,1,2))]. given #602 (H,wt=18): 691 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(491(a,1),220(a,1,1))]. given #603 (H,wt=18): 699 x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. [para(514(a,1),210(a,1,2))]. given #604 (H,wt=18): 703 x * (1 / x) != y * z | y \ K(x,1 / x) = z. [para(86(a,1),541(a,1))]. given #605 (H,wt=18): 711 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(10(a,1),670(a,1,1,2))]. given #606 (H,wt=18): 713 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(704(a,2),108(a,1,2)),flip(a)]. given #607 (H,wt=18): 714 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(158(a,1),704(a,2,1)),flip(a)]. given #608 (H,wt=18): 726 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(723(a,1),31(a,1,1)),flip(a)]. given #609 (H,wt=18): 728 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(245,a,707,a)]. given #610 (H,wt=18): 769 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(594(a,1),292(a,1,1))]. given #611 (H,wt=18): 770 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(96(a,1),594(a,1,1,2))]. given #612 (H,wt=18): 771 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(256(a,1),594(a,1,1,2)),flip(a)]. given #613 (H,wt=18): 772 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(455(a,1),594(a,1,1,2))]. given #614 (H,wt=18): 781 L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). [para(674(a,1),676(a,2,1)),flip(a)]. given #615 (H,wt=18): 807 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(350,a,805,a)]. given #616 (H,wt=18): 818 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(34,a,418,a,b,480,a)]. given #617 (H,wt=18): 821 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(383,a,493,a),flip(a)]. given #618 (H,wt=18): 828 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(74(a,1),549(a,1,1,1))]. given #619 (H,wt=18): 847 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(593(a,1),418(a,1,1))]. given #620 (H,wt=18): 851 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [hyper(62,a,25,a(flip),b,638,a)]. given #621 (H,wt=18): 852 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(273,a,25,a,b,661,a),flip(a)]. given #622 (H,wt=18): 853 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(115,a,142,a(flip),b,663,a),flip(a)]. given #623 (H,wt=19): 419 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(109(a,1),209(a,1,2,1))]. given #624 (H,wt=19): 423 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(217(a,1),243(a,1,1,2,1))]. given #625 (H,wt=19): 441 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(116,a,94,a(flip),b,108,a)]. given #626 (H,wt=19): 442 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(115,a,94,a(flip),b,108,a)]. given #627 (H,wt=19): 486 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(104(a,2),213(a,2)),flip(a)]. given #628 (H,wt=19): 538 (x * y) * L(y \ 1,y,x) != z * u | x / u = z. [para(192(a,2),284(a,1,2))]. given #629 (H,wt=19): 571 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(355(a,1),503(a,1,2))]. given #630 (H,wt=19): 586 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(23(a,1),211(a,1,2,1))]. given #631 (H,wt=19): 603 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(596(a,1),252(a,1,2))]. given #632 (H,wt=19): 636 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(83(a,1),288(a,1,2))]. given #633 (H,wt=19): 639 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(97(a,1),225(a,1,2))]. given #634 (H,wt=19): 675 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(389(a,1),288(a,1,2))]. given #635 (H,wt=19): 681 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(437(a,1),42(a,1))]. given #636 (H,wt=19): 682 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(437(a,1),288(a,1,2))]. given #637 (H,wt=19): 689 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(466(a,1),331(a,1,2)),flip(b)]. given #638 (H,wt=19): 690 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(470(a,1),43(a,1))]. given #639 (H,wt=19): 697 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(507(a,1),290(a,1,1))]. given #640 (H,wt=19): 712 T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. [para(704(a,2),48(a,1)),flip(a)]. given #641 (H,wt=19): 755 (x * y) / z != u | R(x / (z / y),z / y,y) = u. [para(12(a,1),569(a,1,2))]. given #642 (H,wt=19): 758 L(1 / x,x,y) * x != z | x * ((y * x) \ y) = z. [para(757(a,1),222(a,1,1))]. given #643 (H,wt=19): 778 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(245,a,629,a)]. given #644 (H,wt=19): 779 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(629(a,1),108(a,1,2)),flip(a)]. given #645 (H,wt=19): 780 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(629(a,1),200(a,1,2,2))]. given #646 (H,wt=19): 785 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(260(a,2),706(a,1,1))]. given #647 (H,wt=19): 787 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(110(a,1),731(a,1,1,1)),flip(a)]. given #648 (H,wt=19): 803 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(597(a,1),358(a,2,1))]. given #649 (H,wt=19): 820 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(819(a,1),480(a,1,1)),flip(a)]. given #650 (H,wt=15): 872 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(212,a,820,a,b,xx)]. given #651 (H,wt=19): 822 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(456(a,1),510(a,1,2,1)),flip(a)]. given #652 (H,wt=17): 877 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(8(a,1),822(a,2,2,1))]. given #653 (H,wt=13): 880 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(62,a,419,a(flip),b,877,a)]. given #654 (H,wt=19): 826 R(T(1 / x,y),x,x \ y) != z | y \ (x \ y) = z. [para(546(a,1),383(a,1))]. given #655 (H,wt=19): 831 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(115,a,563,a(flip),b,228,a)]. given #656 (H,wt=19): 865 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(9(a,1),778(a,1,1,2,1,2))]. given #657 (H,wt=19): 874 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(672,a,822,a),flip(a)]. given #658 (H,wt=19): 875 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(252,a,822,a),flip(a)]. given #659 (H,wt=19): 876 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(122,a,822,a)]. given #660 (H,wt=19): 878 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(10(a,1),822(a,2,2,1))]. given #661 (H,wt=19): 884 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(10(a,1),831(a,1,2,1)),flip(a)]. given #662 (H,wt=17): 891 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(252,a,884,a)]. given #663 (H,wt=19): 885 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [hyper(131,a,874,a),flip(a)]. given #664 (H,wt=19): 886 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(10(a,1),875(a,1,2,1)),flip(a)]. given #665 (H,wt=19): 889 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(116,a,878,a(flip),b,417,a)]. given #666 (H,wt=19): 890 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(116,a,878,a(flip),b,108,a(flip))]. given #667 (H,wt=20): 202 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(108(a,1),14(a,2,1,2)),flip(a)]. given #668 (H,wt=20): 203 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(108(a,1),14(a,2,2,1)),flip(a)]. given #669 (H,wt=20): 262 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(86(a,1),18(a,2,2,2)),flip(a)]. given #670 (H,wt=20): 312 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(27(a,2),236(a,1,2))]. given #671 (H,wt=20): 372 ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. [para(301(a,1),213(a,2))]. given #672 (H,wt=20): 396 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(236(a,1),383(a,1,1))]. given #673 (H,wt=20): 429 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(260(a,1),18(a,2,2,2)),flip(a)]. given #674 (H,wt=20): 446 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(94(a,1),20(a,2,1)),flip(a)]. given #675 (H,wt=20): 448 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(29(a,2),94(a,1,2))]. given #676 (H,wt=20): 449 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(30(a,1),94(a,1,2))]. given #677 (H,wt=20): 454 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(227(a,2),94(a,1,1))]. given #678 (H,wt=20): 469 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(115,a,104,a(flip),b,94,a)]. given #679 (H,wt=20): 475 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(29(a,1),104(a,1,1))]. given #680 (H,wt=20): 476 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(31(a,1),104(a,1,1))]. given #681 (H,wt=20): 484 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(227(a,2),104(a,1,2))]. given #682 (H,wt=20): 494 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(216(a,1),105(a,2,2))]. given #683 (H,wt=20): 504 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(86(a,1),167(a,1,2,1))]. given #684 (H,wt=20): 509 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(115,a,30,a,b,226,a)]. given #685 (H,wt=20): 513 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(115,a,30,a,b,228,a)]. given #686 (H,wt=19): 904 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(351(a,1),513(a,1,2,1))]. given #687 (H,wt=20): 515 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(116,a,29,a(flip),b,232,a)]. given #688 (H,wt=19): 907 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(360(a,1),515(a,1,1,1))]. given #689 (H,wt=18): 909 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(273,a,756,a(flip),b,907,a),flip(a)]. given #690 (H,wt=17): 910 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(192(a,1),909(a,1,1))]. given #691 (H,wt=17): 911 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(129,a,910,a)]. given #692 (H,wt=20): 520 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(256(a,1),30(a,1,1)),flip(a)]. given #693 (H,wt=20): 550 T(x,y) * z != u * w | (z * T(T(x,z),y)) / w = u. [para(243(a,1),376(a,1,1))]. given #694 (H,wt=20): 557 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(109(a,2),394(a,1,2))]. given #695 (H,wt=20): 564 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(455(a,1),29(a,1,1)),flip(a)]. given #696 (H,wt=20): 570 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(489(a,1),31(a,1,1)),flip(a)]. given #697 (H,wt=20): 614 ((x \ y) \ y) * z != z * u | T(T(x,x \ y),z) = u. [para(270(a,1),213(a,2)),flip(a)]. given #698 (H,wt=20): 635 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(108(a,1),83(a,1,1,2))]. given #699 (H,wt=20): 637 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(108(a,1),95(a,1,2,2)),flip(a)]. given #700 (H,wt=20): 655 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(647(a,1),210(a,1,2,1))]. given #701 (H,wt=20): 657 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(108(a,1),650(a,1,2,2)),flip(a)]. given #702 (H,wt=20): 677 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(412(a,1),25(a,2,1))]. given #703 (H,wt=20): 685 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(457(a,1),25(a,2,1))]. given #704 (H,wt=20): 692 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(492(a,1),27(a,2,1))]. given #705 (H,wt=20): 696 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(492(a,1),220(a,1,1)),flip(a)]. given #706 (H,wt=20): 730 T(x,y) \ T(T(x,1 / x),y) = a(T(x,y),1 / x,x). [para(725(a,1),644(a,1,2))]. given #707 (H,wt=20): 763 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(491(a,1),588(a,1,1))]. given #708 (H,wt=20): 766 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(116,a,589,a(flip),b,314,a(flip))]. given #709 (H,wt=20): 768 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(594(a,1),222(a,1,1))]. given #710 (H,wt=20): 777 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(595(a,1),222(a,1,1))]. given #711 (H,wt=20): 788 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(759(a,2),222(a,1,1))]. given #712 (H,wt=20): 794 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(193(a,1),764(a,2,1,2))]. given #713 (H,wt=20): 856 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(12(a,1),771(a,2,1,2,1))]. given #714 (H,wt=20): 867 T((x * (y / z)) / x,z) != u | (x * (z \ y)) / x = u. [para(778(a,1),292(a,1,1))]. given #715 (H,wt=20): 871 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(105(a,1),787(a,1,1,1))]. given #716 (H,wt=20): 883 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(880(a,1),206(a,1,2,2))]. given #717 (H,wt=20): 897 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(273,a,144,a(flip),b,454,a),flip(a)]. given #718 (H,wt=21): 391 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(355(a,1),18(a,2,2,2))]. given #719 (H,wt=21): 426 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(109(a,1),244(a,1,1))]. given #720 (H,wt=21): 495 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(193(a,2),105(a,1,1))]. given #721 (H,wt=21): 523 (R(x,y,z) * (y * z)) / z != u * w | (x * y) / w = u. [para(104(a,2),277(a,1,1))]. given #722 (H,wt=21): 526 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(20(a,2),283(a,1,1))]. given #723 (H,wt=21): 531 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(169(a,1),283(a,1,1))]. given #724 (H,wt=21): 533 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(18(a,2),284(a,1,2))]. given #725 (H,wt=21): 543 (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. [para(94(a,1),285(a,1,2))]. given #726 (H,wt=21): 547 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(363(a,2),105(a,1,1))]. given #727 (H,wt=21): 551 (x * y) * z != u * w | (R(x,y,z) * (y * z)) / w = u. [para(258(a,1),376(a,1,1))]. given #728 (H,wt=21): 561 R(x,1 / y,y) / y != (1 / y) * z | T(x,1 / y) = z. [para(408(a,2),213(a,2)),flip(a)]. given #729 (H,wt=21): 562 x * (y * z) != u * w | u \ ((x * y) * L(z,y,x)) = w. [para(436(a,1),378(a,1,2))]. given #730 (H,wt=21): 572 (x * y) \ (x * (y * z)) != u * w | L(z,y,x) / w = u. [para(94(a,1),503(a,1,2))]. given #731 (H,wt=21): 573 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(104(a,1),503(a,1,2))]. given #732 (H,wt=21): 579 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(27(a,2),210(a,1,2,1))]. given #733 (H,wt=20): 927 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(649(a,1),579(a,1,2))]. given #734 (H,wt=21): 583 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(109(a,1),210(a,1,2,1))]. given #735 (H,wt=21): 590 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(109(a,1),211(a,1,2,1))]. given #736 (H,wt=17): 928 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(33,a,211,a,b,590,a)]. given #737 (H,wt=21): 591 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(217(a,1),211(a,1,2,1)),flip(a)]. given #738 (H,wt=21): 608 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(252,a,270,a),flip(a)]. given #739 (H,wt=21): 619 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(229(a,2),393(a,1,2))]. given #740 (H,wt=21): 659 L(x,y,x) * y != z * u | (y * T(x,x * y)) / u = z. [para(652(a,1),376(a,1,1))]. given #741 (H,wt=21): 669 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(357(a,2),94(a,1,2))]. given #742 (H,wt=21): 710 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(648(a,1),94(a,1,2))]. given #743 (H,wt=17): 931 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(379,a,710,a),flip(a)]. given #744 (H,wt=15): 932 T(x,y) * (x * z) = x * (T(x,y) * z). [para(209(a,1),931(a,1,2)),flip(a)]. given #745 (H,wt=13): 940 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(115,a,69,a(flip),b,932,a),flip(a)]. given #746 (H,wt=13): 946 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(128,a,940,a)]. given #747 (H,wt=13): 947 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(122,a,940,a)]. given #748 (H,wt=15): 933 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(554,a,932,a)]. given #749 (H,wt=15): 934 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(552,a,932,a),flip(a)]. given #750 (H,wt=15): 935 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(537,a,932,a)]. given #751 (H,wt=15): 936 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(287,a,932,a),flip(a)]. given #752 (H,wt=15): 937 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(273,a,144,a(flip),b,932,a),flip(a)]. given #753 (H,wt=13): 956 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(370,a,937,a),flip(a)]. given #754 (H,wt=15): 938 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(122,a,932,a)]. given #755 (H,wt=15): 939 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(115,a,144,a(flip),b,932,a)]. given #756 (H,wt=15): 953 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(122,a,934,a)]. given #757 (H,wt=17): 943 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(108(a,1),932(a,1,2)),flip(a)]. given #758 (H,wt=17): 950 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(946(a,1),889(a,2,1))]. given #759 (H,wt=17): 962 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(110(a,1),956(a,1,2,1))]. given #760 (H,wt=15): 970 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(110(a,1),962(a,2,2))]. given #761 (H,wt=17): 966 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(212,a,721,a,b,943,a)]. given #762 (H,wt=17): 969 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(129,a,950,a)]. given #763 (H,wt=17): 971 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(9(a,1),970(a,1,2,1))]. given #764 (H,wt=13): 973 T(x,y) = ((x * y) / x) * (y \ x). [para(9(a,1),971(a,2,2)),flip(a)]. given #765 (H,wt=13): 974 T(x,y) / (y \ x) = (x * y) / x. [hyper(116,a,973,a,b,xx)]. given #766 (H,wt=13): 976 ((x * y) / x) \ T(x,y) = y \ x. [hyper(115,a,973,a,b,xx)]. given #767 (H,wt=15): 977 ((x * (x / y)) / x) * y = T(x,x / y). [para(77(a,1),973(a,2,2)),flip(a)]. given #768 (H,wt=15): 982 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(62,a,779,a(flip),b,977,a)]. given #769 (H,wt=15): 983 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(115,a,977,a(flip),b,779,a(flip))]. given #770 (H,wt=13): 986 T(x \ T(y,y / x),y) = x \ y. [para(983(a,2),198(a,1,1))]. given #771 (H,wt=15): 989 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(74(a,1),986(a,1,1,2,2))]. given #772 (H,wt=15): 990 T((x \ y) \ T(y,x),y) = T(x,x \ y). [hyper(273,a,109,a,b,989,a),flip(a)]. given #773 (H,wt=17): 975 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(115,a,973,a,b,108,a),flip(a)]. given #774 (H,wt=17): 981 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(9(a,1),974(a,1,2)),flip(a)]. given #775 (H,wt=13): 992 T(T(x * y,x) / y,x * y) = x. [para(981(a,1),198(a,1,1))]. given #776 (H,wt=16): 993 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(981(a,1),818(a,1,1))]. given #777 (H,wt=14): 996 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(383,a,993,a)]. given #778 (H,wt=11): 999 L(R(x,y,T(x,y)),y,x) = x. [para(996(a,1),439(a,1,1))]. given #779 (H,wt=14): 997 x * R(y,x,T(y,x)) = T(y * x,y). [para(993(a,1),196(a,1,2))]. given #780 (H,wt=17): 984 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(77(a,1),982(a,1,2,1,2))]. given #781 (H,wt=17): 994 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(12(a,1),992(a,1,1,1,1))]. given #782 (H,wt=13): 1001 T(T(x,x / y) / y,x) = x / y. [para(12(a,1),994(a,1,2))]. given #783 (H,wt=17): 998 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(993(a,1),383(a,1))]. given #784 (H,wt=17): 1000 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(199(a,1),984(a,1,2)),flip(a)]. given #785 (H,wt=18): 942 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(932(a,2),42(a,1))]. given #786 (H,wt=18): 954 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(935(a,1),123(a,1,1)),flip(a),flip(b)]. given #787 (H,wt=18): 955 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(935(a,1),290(a,1,1))]. given #788 (H,wt=18): 963 T(x,y) \ z != x \ (T(x,y) \ u) | x \ u = z. [para(953(a,1),46(a,1)),flip(a)]. given #789 (H,wt=18): 964 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(953(a,2),225(a,1,2))]. given #790 (H,wt=18): 987 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(983(a,1),225(a,1,2))]. given #791 (H,wt=18): 1002 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(9(a,1),964(a,1,2,2))]. given #792 (H,wt=18): 1003 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(779(a,2),987(a,1))]. given #793 (H,wt=19): 941 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(12(a,1),932(a,1,2)),flip(a)]. given #794 (H,wt=19): 945 T(x,y) * K(x,1 / x) = x * (T(x,y) * (1 / x)). [para(229(a,2),932(a,1,2))]. given #795 (H,wt=19): 948 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(116,a,940,a(flip),b,108,a)]. given #796 (H,wt=19): 951 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(273,a,270,a(flip),b,933,a),flip(a)]. given #797 (H,wt=19): 952 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(416(a,1),933(a,1,2))]. given #798 (H,wt=19): 958 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(115,a,229,a,b,937,a)]. given #799 (H,wt=19): 960 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(33,a,261,a,b,937,a),flip(a)]. given #800 (H,wt=19): 1004 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(417(a,1),941(a,1,2))]. given #801 (H,wt=19): 1005 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(109(a,1),951(a,1,2,1))]. given #802 (H,wt=19): 1006 T(x,y) * (x \ T(x,z)) = T(x,z) * (x \ T(x,y)). [hyper(955,a,952,a)]. given #803 (H,wt=20): 949 x * (T(x,y) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(946(a,1),376(a,1,1))]. given #804 (H,wt=20): 968 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(943(a,1),42(a,1))]. given #805 (H,wt=20): 978 (x \ y) * z != T(y,x) | T((y * x) / y,x \ y) = z. [para(973(a,2),213(a,2))]. given #806 (H,wt=20): 985 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(771(a,2),982(a,1,2))]. given #807 (H,wt=17): 1009 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(115,a,985,a(flip),b,94,a(flip))]. given #808 (H,wt=20): 991 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(975(a,1),852(a,1,1))]. given #809 (H,wt=21): 732 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(27(a,1),251(a,1,1))]. given #810 (H,wt=21): 735 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(108(a,1),251(a,1,2))]. given #811 (H,wt=21): 736 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(25(a,1),255(a,1,2))]. given #812 (H,wt=21): 748 R(x,y,T(z,y)) * (z * y) != (x * y) * u | T(z,y) = u. [para(108(a,1),477(a,1,2)),flip(b)]. given #813 (H,wt=21): 749 (x * y) * T(z,y) != u * (z * y) | R(x,y,T(z,y)) = u. [para(108(a,1),478(a,2,2))]. given #814 (H,wt=21): 776 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(77(a,1),595(a,1,1,2,1))]. given #815 (H,wt=21): 804 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(273,a,96,a(flip),b,359,a),flip(a)]. given #816 (H,wt=21): 827 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(546(a,2),314(a,1,1))]. given #817 (H,wt=21): 835 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(192(a,1),576(a,2,1)),flip(a)]. given #818 (H,wt=19): 1013 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(430,a,835,a)]. given #819 (H,wt=19): 1014 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(116,a,1013,a,b,417,a)]. given #820 (H,wt=21): 837 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(584(a,1),42(a,1)),flip(a)]. given #821 (H,wt=21): 841 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(115,a,838,a(flip),b,86,a)]. given #822 (H,wt=21): 846 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(314(a,1),587(a,1))]. given #823 (H,wt=21): 854 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(665(a,1),43(a,1))]. given #824 (H,wt=21): 855 x * ((1 / x) * (y * x)) != z * x | L(y,x,1 / x) = z. [para(699(a,2),43(a,1))]. given #825 (H,wt=21): 860 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(847(a,1),43(a,1))]. given #826 (H,wt=21): 861 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(459(a,1),851(a,1,1)),flip(a)]. given #827 (H,wt=21): 881 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) = K(T(x,y),x \ 1). [hyper(115,a,880,a(flip),b,86,a)]. given #828 (H,wt=21): 903 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(456(a,1),509(a,1,2,1)),flip(a)]. given #829 (H,wt=19): 1015 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(8(a,1),903(a,2,2,1))]. given #830 (H,wt=15): 1017 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(62,a,583,a(flip),b,1015,a)]. given #831 (H,wt=15): 1018 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(115,a,1015,a(flip),b,583,a(flip))]. given #832 (H,wt=21): 905 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(455(a,1),513(a,1,2,1))]. given #833 (H,wt=21): 906 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(673(a,1),513(a,1,2,1))]. given #834 (H,wt=19): 1021 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(273,a,210,a(flip),b,906,a),flip(a)]. given #835 (H,wt=19): 1022 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [hyper(131,a,1021,a)]. given #836 (H,wt=18): 1024 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(273,a,192,a(flip),b,1022,a)]. given #837 (H,wt=17): 1025 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(192(a,1),1024(a,2,2,1)),flip(a)]. given #838 (H,wt=17): 1026 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(122,a,1025,a)]. given #839 (H,wt=21): 908 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(489(a,1),515(a,1,1,1))]. given #840 (H,wt=21): 915 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(350,a,564,a)]. given #841 (H,wt=19): 1028 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(8(a,1),915(a,2,1))]. given #842 (H,wt=18): 1034 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(602(a,2),1028(a,1,2))]. given #843 (H,wt=17): 1035 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(273,a,193,a(flip),b,1034,a),flip(a)]. given #844 (H,wt=19): 1030 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(122,a,1028,a)]. given #845 (H,wt=19): 1032 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(33,a,642,a,b,1028,a),flip(a)]. given #846 (H,wt=21): 920 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(363(a,1),766(a,1,1,2))]. given #847 (H,wt=21): 944 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(110(a,1),932(a,1,1)),flip(a)]. given #848 (H,wt=19): 1041 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(110(a,1),944(a,1,2,1))]. given #849 (H,wt=17): 1044 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(377,a,1041,a),flip(a)]. given #850 (H,wt=17): 1045 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(115,a,69,a(flip),b,1041,a),flip(a)]. given #851 (H,wt=20): 1048 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1045(a,1),42(a,1))]. given #852 (H,wt=21): 1012 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(626,a,827,a),flip(a)]. given #853 (H,wt=21): 1020 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(10(a,1),905(a,1,2,1)),flip(a)]. given #854 (H,wt=21): 1027 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(273,a,581,a(flip),b,908,a),flip(a)]. given #855 (H,wt=21): 1036 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(116,a,363,a(flip),b,1034,a)]. given #856 (H,wt=17): 1052 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(10(a,1),1036(a,1,2,1,2))]. given #857 (H,wt=17): 1053 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [hyper(171,a,1052,a)]. given #858 (H,wt=21): 1040 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(273,a,779,a(flip),b,920,a),flip(a)]. given #859 (H,wt=21): 1047 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(77(a,1),1044(a,1,2,1)),flip(a)]. given #860 (H,wt=17): 1054 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(77(a,1),1047(a,1,1)),flip(a)]. given #861 (H,wt=21): 1049 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(417(a,1),1012(a,1,1))]. given #862 (H,wt=19): 1056 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(307(a,1),1049(a,1,1))]. given #863 (H,wt=21): 1050 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(122,a,1020,a),flip(a)]. given #864 (H,wt=22): 310 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(227(a,2),14(a,2,1,2)),flip(a)]. given #865 (H,wt=22): 468 R(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y). [hyper(115,a,108,a(flip),b,104,a)]. given #866 (H,wt=22): 471 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(104(a,1),14(a,2,1)),flip(a)]. given #867 (H,wt=22): 481 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(86(a,1),104(a,1,2))]. given #868 (H,wt=22): 604 L(x,y,z) * u != w * v5 | w \ (u * L(T(x,u),y,z)) = v5. [para(248(a,1),378(a,1,2))]. given #869 (H,wt=22): 616 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(271(a,1),252(a,1,2))]. given #870 (H,wt=22): 628 T(x / y,z) * y != u * w | (y * T(y \ x,z)) / w = u. [para(420(a,1),376(a,1,1))]. given #871 (H,wt=22): 631 x * ((y \ z) \ z) != u * w | (x * T(y,y \ z)) / w = u. [para(606(a,1),376(a,1,1))]. given #872 (H,wt=22): 633 ((x \ y) \ y) * z != u * w | u \ (T(x,x \ y) * z) = w. [para(610(a,1),378(a,1,2))]. given #873 (H,wt=22): 646 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(104(a,1),207(a,1,2))]. given #874 (H,wt=22): 651 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(645(a,2),211(a,1,2,1))]. given #875 (H,wt=19): 1059 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(62,a,448,a(flip),b,651,a)]. given #876 (H,wt=17): 1060 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(211(a,1),1059(a,1,2)),flip(a)]. given #877 (H,wt=15): 1063 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(377,a,1060,a),flip(a)]. given #878 (H,wt=15): 1066 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(115,a,69,a(flip),b,1060,a),flip(a)]. given #879 (H,wt=15): 1069 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(122,a,1063,a)]. given #880 (H,wt=15): 1074 x \ (R(x,y,z) \ x) = R(x,y,z) \ 1. [hyper(122,a,1066,a)]. given #881 (H,wt=17): 1061 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(554,a,1060,a)]. given #882 (H,wt=17): 1062 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(537,a,1060,a)]. given #883 (H,wt=17): 1064 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(287,a,1060,a),flip(a)]. given #884 (H,wt=16): 1079 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(212,a,104,a(flip),b,1064,a),flip(a)]. given #885 (H,wt=14): 1080 R(x,y,x) * T(y,x) = T(x * y,x). [para(22(a,2),1079(a,1,2))]. given #886 (H,wt=14): 1081 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(122,a,1080,a)]. given #887 (H,wt=17): 1065 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(115,a,144,a(flip),b,1060,a)]. given #888 (H,wt=18): 1078 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(104(a,1),1061(a,1,2)),flip(a)]. given #889 (H,wt=18): 1082 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(128,a,1078,a),flip(a)]. given #890 (H,wt=19): 1067 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(108(a,1),1060(a,1,2)),flip(a)]. given #891 (H,wt=19): 1070 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(62,a,590,a,b,1063,a)]. given #892 (H,wt=19): 1071 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(116,a,1063,a(flip),b,211,a)]. given #893 (H,wt=20): 1083 (x \ ((x * y) * (y \ z))) / (x \ z) = R(x,y,y \ z). [para(10(a,1),1082(a,2,2,2)),flip(a)]. given #894 (H,wt=22): 666 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(29(a,1),314(a,1,1))]. given #895 (H,wt=22): 668 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(273,a,22,a,b,353,a),flip(a)]. given #896 (H,wt=22): 680 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(30(a,1),437(a,1,2))]. given #897 (H,wt=22): 684 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(30(a,1),438(a,1,2))]. given #898 (H,wt=22): 686 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(457(a,1),29(a,1,1)),flip(a)]. given #899 (H,wt=22): 693 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(492(a,1),31(a,1,1)),flip(a)]. given #900 (H,wt=22): 702 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(701(a,1),213(a,2))]. given #901 (H,wt=22): 717 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(715(a,1),210(a,1,2,1)),flip(a)]. given #902 (H,wt=19): 1091 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(62,a,475,a(flip),b,717,a),flip(a)]. given #903 (H,wt=19): 1092 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(536,a,1091,a)]. given #904 (H,wt=19): 1093 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(25(a,1),1092(a,1,1))]. given #905 (H,wt=22): 718 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(715(a,1),211(a,1,2,1)),flip(a)]. given #906 (H,wt=19): 1094 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(62,a,476,a(flip),b,718,a),flip(a)]. given #907 (H,wt=22): 760 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(116,a,94,a(flip),b,582,a),flip(a)]. given #908 (H,wt=22): 767 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(116,a,589,a(flip),b,104,a(flip))]. given #909 (H,wt=22): 773 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(456(a,1),594(a,1,1,2))]. given #910 (H,wt=22): 786 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(721(a,1),213(a,2)),flip(a)]. given #911 (H,wt=22): 789 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(759(a,1),94(a,1,2))]. given #912 (H,wt=22): 790 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(356(a,1),759(a,2,1,2))]. given #913 (H,wt=22): 791 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(455(a,1),759(a,2,1,2))]. given #914 (H,wt=22): 792 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(456(a,1),759(a,2,1,2))]. given #915 (H,wt=22): 795 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(764(a,1),104(a,1,1))]. given #916 (H,wt=22): 796 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(259(a,1),764(a,2,1,2))]. given #917 (H,wt=22): 798 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(488(a,1),764(a,2,1,2))]. given #918 (H,wt=22): 799 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(489(a,1),764(a,2,1,2))]. given #919 (H,wt=22): 814 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(462(a,1),25(a,2,1))]. given #920 (H,wt=22): 823 T(R(x / y,y,y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(273,a,417,a(flip),b,516,a),flip(a)]. given #921 (H,wt=17): 1103 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(360(a,1),823(a,1,1,1))]. given #922 (H,wt=19): 1104 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [para(489(a,1),823(a,1,1,1))]. given #923 (H,wt=19): 1105 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(129,a,1104,a)]. given #924 (H,wt=19): 1106 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(12(a,1),1104(a,1,1,1)),flip(a)]. given #925 (H,wt=17): 1107 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(252,a,1106,a)]. given #926 (H,wt=22): 849 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(74(a,1),626(a,1,1,1))]. given #927 (H,wt=22): 857 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(22(a,2),771(a,2,1,2))]. given #928 (H,wt=22): 858 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(205(a,1),771(a,2,1,2))]. given #929 (H,wt=22): 859 L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). [para(77(a,1),781(a,1,1,2,1))]. given #930 (H,wt=22): 866 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(778(a,1),222(a,1,1))]. given #931 (H,wt=22): 879 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(822(a,1),252(a,1))]. given #932 (H,wt=22): 888 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(876(a,1),225(a,1,2))]. given #933 (H,wt=22): 959 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(33,a,437,a,b,937,a),flip(a)]. given #934 (H,wt=22): 965 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(953(a,1),284(a,1,2))]. given #935 (H,wt=22): 967 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(33,a,437,a,b,943,a),flip(a)]. given #936 (H,wt=22): 988 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(983(a,1),378(a,1,2))]. given #937 (H,wt=22): 1007 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(952(a,1),955(a,1))]. given #938 (H,wt=22): 1008 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(1004(a,1),42(a,1))]. given #939 (H,wt=22): 1033 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1028(a,1),288(a,1,2))]. given #940 (H,wt=22): 1039 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1030(a,1),643(a,1))]. given #941 (H,wt=22): 1046 (x \ y) * z != (y / x) * ((x \ y) * u) | (y / x) * u = z. [para(1041(a,2),42(a,1)),flip(a)]. given #942 (H,wt=22): 1075 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1066(a,1),228(a,1,2)),flip(a)]. given #943 (H,wt=22): 1077 R(x,y,z) * (x \ 1) != u * w | (x \ R(x,y,z)) / w = u. [para(1069(a,1),284(a,1,2))]. given #944 (H,wt=22): 1108 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(273,a,422,a(flip),b,857,a),flip(a)]. given #945 (H,wt=22): 1109 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(933(a,1),858(a,1,1,1))]. given #946 (H,wt=22): 1115 ((x * (x / y)) / x) * y != z * u | z \ T(x,x / y) = u. [para(779(a,2),988(a,1))]. given #947 (H,wt=23): 444 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(94(a,1),18(a,2,2,2)),flip(a)]. given #948 (H,wt=23): 465 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(94(a,1),96(a,2,2))]. given #949 (H,wt=23): 472 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(104(a,1),20(a,2,1,1)),flip(a)]. given #950 (H,wt=23): 497 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(104(a,1),105(a,2,1))]. given #951 (H,wt=23): 499 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(105(a,2),105(a,1,1))]. given #952 (H,wt=23): 553 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(14(a,2),378(a,1,2))]. given #953 (H,wt=23): 612 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(270(a,2),16(a,2,1)),flip(a)]. given #954 (H,wt=23): 625 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(62,a,270,a(flip),b,418,a)]. given #955 (H,wt=23): 667 R(x,y,y \ z) * z != (y \ z) * u | T(x * y,y \ z) = u. [para(314(a,2),213(a,2)),flip(a)]. given #956 (H,wt=23): 733 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(29(a,1),251(a,1,1))]. given #957 (H,wt=23): 734 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(31(a,1),251(a,1,1))]. given #958 (H,wt=23): 737 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(29(a,2),255(a,1,2))]. given #959 (H,wt=23): 740 K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y. [para(227(a,2),450(a,1,1))]. given #960 (H,wt=23): 741 K(x \ 1,x) * L(y,x,x \ 1) != (x \ 1) * z | x * y = z. [para(227(a,2),451(a,1,1))]. given #961 (H,wt=23): 802 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(358(a,2),94(a,1,2))]. given #962 (H,wt=23): 806 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(359(a,1),94(a,1,2))]. given #963 (H,wt=23): 808 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(96(a,1),447(a,1,2,1))]. given #964 (H,wt=23): 809 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(256(a,1),447(a,1,2,1))]. given #965 (H,wt=23): 817 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(259(a,1),474(a,1,1,1)),flip(a)]. given #966 (H,wt=23): 863 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(109(a,1),423(a,1,1,2))]. given #967 (H,wt=23): 864 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(108(a,1),636(a,1,2,1))]. given #968 (H,wt=23): 870 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(77(a,1),780(a,1,2,2,1,2))]. given #969 (H,wt=23): 892 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(884(a,1),399(a,1,2))]. given #970 (H,wt=23): 896 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(645(a,1),449(a,1,2,1))]. given #971 (H,wt=19): 1123 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(380,a,896,a),flip(a)]. given #972 (H,wt=17): 1124 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(210(a,1),1123(a,1,2)),flip(a)]. given #973 (H,wt=15): 1130 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(115,a,69,a(flip),b,1124,a),flip(a)]. given #974 (H,wt=15): 1132 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(122,a,1130,a)]. given #975 (H,wt=17): 1125 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(554,a,1124,a)]. given #976 (H,wt=17): 1126 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(552,a,1124,a),flip(a)]. given #977 (H,wt=17): 1127 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(287,a,1124,a),flip(a)]. given #978 (H,wt=17): 1128 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(122,a,1124,a)]. given #979 (H,wt=17): 1129 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(115,a,144,a(flip),b,1124,a)]. given #980 (H,wt=19): 1135 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(115,a,22,a,b,1126,a),flip(a)]. given #981 (H,wt=20): 1136 L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. [para(1127(a,1),42(a,1))]. given #982 (H,wt=20): 1137 x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w. [para(1127(a,1),288(a,1,2))]. given #983 (H,wt=22): 1134 x * (L(x,y,z) \ 1) != u * w | (L(x,y,z) \ x) / w = u. [para(1132(a,1),284(a,1,2))]. given #984 (H,wt=23): 902 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(509(a,2),42(a,1))]. given #985 (H,wt=23): 917 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(685(a,1),437(a,1,2)),flip(a)]. given #986 (H,wt=21): 1142 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(115,a,108,a(flip),b,917,a),flip(a)]. given #987 (H,wt=21): 1143 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(8(a,1),917(a,2,2,1,2))]. given #988 (H,wt=21): 1144 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(122,a,1143,a),flip(a)]. given #989 (H,wt=17): 1146 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [hyper(115,a,399,a(flip),b,1144,a)]. given #990 (H,wt=19): 1148 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(9(a,1),1146(a,1,2,1)),flip(a)]. given #991 (H,wt=19): 1150 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(131,a,1148,a(flip)),flip(a)]. given #992 (H,wt=20): 1149 T(((x * y) \ x) \ 1,x) = L(y \ 1,y,x) \ K(y,x). [hyper(273,a,353,a,b,1148,a),flip(a)]. given #993 (H,wt=20): 1152 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(192(a,2),1148(a,1,1,1))]. given #994 (H,wt=21): 1145 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(307(a,1),1143(a,1,2)),flip(a)]. given #995 (H,wt=21): 1154 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1152(a,2),390(a,1,2)),flip(a)]. given #996 (H,wt=22): 1151 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(1148(a,2),225(a,1,2))]. given #997 (H,wt=23): 918 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(692(a,1),470(a,1,1)),flip(a)]. given #998 (H,wt=21): 1157 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(7(a,1),918(a,2,1,1,1))]. given #999 (H,wt=21): 1158 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(273,a,417,a(flip),b,1157,a),flip(a)]. given #1000 (H,wt=21): 1159 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [para(110(a,1),1158(a,1,1,1))]. given #1001 (H,wt=21): 1160 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(417(a,1),1158(a,1,1))]. given #1002 (H,wt=21): 1161 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(227(a,2),1159(a,1,1))]. given #1003 (H,wt=21): 1162 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(128,a,1160,a),flip(a)]. given #1004 (H,wt=23): 923 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(897(a,1),42(a,1)),flip(a)]. given #1005 (H,wt=23): 924 R(x,y,y \ z) * z != u * w | u \ ((x * y) * (y \ z)) = w. [para(10(a,1),526(a,1,2))]. given #1006 (H,wt=23): 957 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(212,a,937,a,b,10,a)]. given #1007 (H,wt=23): 972 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(110(a,1),969(a,1,1)),flip(a)]. given #1008 (H,wt=21): 1165 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(110(a,1),972(a,1,2)),flip(a)]. given #1009 (H,wt=23): 1042 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(198(a,1),944(a,1,2,1)),flip(a)]. given #1010 (H,wt=19): 1167 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(9(a,1),1042(a,1,1)),flip(a)]. given #1011 (H,wt=17): 1169 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(377,a,1167,a),flip(a)]. given #1012 (H,wt=17): 1171 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(115,a,69,a(flip),b,1167,a),flip(a)]. given #1013 (H,wt=19): 1168 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(554,a,1167,a)]. given #1014 (H,wt=19): 1170 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(115,a,144,a(flip),b,1167,a)]. given #1015 (H,wt=23): 1043 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(217(a,1),944(a,1,2,1)),flip(a)]. given #1016 (H,wt=19): 1174 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(62,a,173,a(flip),b,1043,a),flip(a)]. given #1017 (H,wt=19): 1176 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(115,a,144,a(flip),b,1174,a)]. given #1018 (H,wt=23): 1057 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(877(a,1),1049(a,1,1))]. given #1019 (H,wt=23): 1085 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(363(a,1),666(a,1,1,1))]. given #1020 (H,wt=23): 1088 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(115,a,686,a(flip),b,226,a),flip(a)]. given #1021 (H,wt=21): 1179 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(64(a,1),1088(a,2,2,1))]. given #1022 (H,wt=23): 1100 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(115,a,791,a(flip),b,228,a)]. given #1023 (H,wt=21): 1181 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(8(a,1),1100(a,1,2,1,2))]. given #1024 (H,wt=23): 1101 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(115,a,792,a(flip),b,226,a),flip(a)]. given #1025 (H,wt=17): 1182 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(987,a,1101,a),flip(a)]. given #1026 (H,wt=23): 1102 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(116,a,798,a(flip),b,234,a),flip(a)]. given #1027 (H,wt=17): 1183 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1003,a,1102,a),flip(a)]. given #1028 (H,wt=19): 1185 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(10(a,1),1183(a,1,1,1,2)),flip(a)]. given #1029 (H,wt=23): 1141 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(122,a,917,a)]. given #1030 (H,wt=21): 1187 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(200(a,1),1141(a,1,2,2,1)),flip(a)]. given #1031 (H,wt=23): 1153 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1148(a,2),675(a,1))]. given #1032 (H,wt=23): 1156 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(116,a,417,a(flip),b,918,a)]. given #1033 (H,wt=23): 1178 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(768,a,1085,a),flip(a)]. given #1034 (H,wt=23): 1184 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [hyper(866,a,1102,a)]. given #1035 (H,wt=21): 1191 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(7(a,1),1184(a,2,1,1,2))]. given #1036 (H,wt=17): 1192 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(77(a,1),1191(a,1,2,1,2))]. given #1037 (H,wt=21): 1193 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(525,a,1192,a),flip(a)]. given #1038 (H,wt=23): 1186 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(10(a,1),1141(a,1,2,2,1,2)),flip(a)]. given #1039 (H,wt=23): 1189 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(273,a,417,a(flip),b,1156,a),flip(a)]. given #1040 (H,wt=21): 1196 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(108(a,1),1189(a,1,1)),flip(a)]. given #1041 (H,wt=23): 1190 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(581(a,1),1178(a,1,1))]. given #1042 (H,wt=23): 1195 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(129,a,1189,a)]. given #1043 (H,wt=24): 204 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(108(a,1),14(a,2,2)),flip(a)]. given #1044 (H,wt=23): 1198 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(576(a,1),204(a,1,1))]. given #1045 (H,wt=24): 445 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(94(a,1),20(a,2,1,1)),flip(a)]. given #1046 (H,wt=24): 505 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(94(a,1),167(a,1,2,1))]. given #1047 (H,wt=24): 708 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(x,y / (x * y)). [para(602(a,1),16(a,2,1)),flip(a)]. given #1048 (H,wt=24): 738 (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. [para(357(a,2),255(a,1,2))]. given #1049 (H,wt=24): 761 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(588(a,1),232(a,1,1))]. given #1050 (H,wt=21): 1200 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(116,a,570,a(flip),b,761,a)]. given #1051 (H,wt=19): 1201 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(7(a,1),1200(a,1,1,1))]. given #1052 (H,wt=21): 1202 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(12(a,1),1200(a,1,1,1)),flip(a)]. given #1053 (H,wt=24): 793 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(457(a,1),759(a,2,1,2))]. given #1054 (H,wt=24): 797 R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. [para(764(a,2),376(a,1,1))]. given #1055 (H,wt=24): 811 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(30(a,1),452(a,1,2))]. given #1056 (H,wt=24): 815 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(462(a,1),29(a,1,1)),flip(a)]. given #1057 (H,wt=24): 816 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(462(a,1),30(a,1,1)),flip(a)]. given #1058 (H,wt=24): 845 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(108(a,1),585(a,1,2,1)),flip(a)]. given #1059 (H,wt=24): 882 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(880(a,1),294(a,1,2))]. given #1060 (H,wt=24): 919 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [para(766(a,1),110(a,1,1)),flip(a)]. given #1061 (H,wt=24): 980 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(973(a,2),598(a,1,1,1)),flip(a)]. given #1062 (H,wt=24): 1016 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(256(a,1),903(a,1,2)),flip(a)]. given #1063 (H,wt=24): 1023 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(352(a,1),1021(a,1,2)),flip(a)]. given #1064 (H,wt=17): 1205 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(352(a,1),1023(a,1,1)),flip(a)]. given #1065 (H,wt=17): 1206 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(131,a,1205,a)]. given #1066 (H,wt=21): 1207 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(273,a,9,a(flip),b,1206,a),flip(a)]. given #1067 (H,wt=17): 1210 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(9(a,1),1207(a,1,2,1))]. given #1068 (H,wt=24): 1029 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(763(a,2),915(a,1,2))]. given #1069 (H,wt=24): 1031 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(115,a,364,a(flip),b,1028,a),flip(a)]. given #1070 (H,wt=24): 1055 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1049(a,1),280(a,1,1))]. given #1071 (H,wt=24): 1084 (x \ ((x * y) * T(z,y))) / (x \ (z * y)) = R(x,y,y \ (z * y)). [para(22(a,2),1083(a,1,1,2,2))]. given #1072 (H,wt=24): 1133 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1130(a,1),16(a,2,1)),flip(a)]. given #1073 (H,wt=24): 1138 L(x,y,z) * (x * u) != w * v5 | w \ (x * (L(x,y,z) * u)) = v5. [para(1128(a,1),378(a,1,2))]. given #1074 (H,wt=24): 1139 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1128(a,1),1108(a,1,1,1)),flip(a)]. given #1075 (H,wt=20): 1212 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(11(a,1),1139(a,2,1))]. given #1076 (H,wt=20): 1213 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1212(a,1),418(a,1,1)),flip(a)]. given #1077 (H,wt=18): 1214 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(33,a,210,a,b,1213,a)]. given #1078 (H,wt=25): 518 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(104(a,1),232(a,1,1)),flip(a)]. given #1079 (H,wt=25): 694 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(193(a,2),492(a,1,1,2))]. given #1080 (H,wt=25): 695 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(193(a,2),492(a,1,2))]. given #1081 (H,wt=25): 705 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(599(a,1),314(a,1,1)),flip(a)]. given #1082 (H,wt=21): 1215 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(10(a,1),705(a,2,1,1,2))]. given #1083 (H,wt=21): 1216 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(273,a,417,a(flip),b,1215,a),flip(a)]. given #1084 (H,wt=21): 1217 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(11(a,1),1216(a,1,1,1,2))]. given #1085 (H,wt=20): 1218 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(846,a,1217,a)]. given #1086 (H,wt=25): 729 (x * R(y,x,x \ 1)) / x != z * u | z \ ((x * y) * (x \ 1)) = u. [para(707(a,1),575(a,1,1,2))]. given #1087 (H,wt=25): 739 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(86(a,1),450(a,1,1)),flip(a)]. given #1088 (H,wt=25): 800 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(764(a,1),251(a,1,1))]. given #1089 (H,wt=25): 801 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(230(a,1),403(a,1,1))]. given #1090 (H,wt=25): 810 ((x / y) * y) * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). [para(356(a,1),447(a,1,2,1))]. given #1091 (H,wt=21): 1219 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(529,a,810,a)]. given #1092 (H,wt=15): 1221 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(679,a,1219,a)]. given #1093 (H,wt=15): 1222 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(115,a,399,a(flip),b,1219,a(flip))]. given #1094 (H,wt=15): 1226 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(273,a,877,a(flip),b,1221,a),flip(a)]. given #1095 (H,wt=15): 1227 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(116,a,1221,a,b,417,a)]. given #1096 (H,wt=18): 1223 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1219(a,1),679(a,1))]. given #1097 (H,wt=19): 1224 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(273,a,1162,a(flip),b,1221,a),flip(a)]. given #1098 (H,wt=19): 1225 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(273,a,1144,a(flip),b,1221,a),flip(a)]. given #1099 (H,wt=19): 1228 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1221(a,2),1143(a,1,2)),flip(a)]. given #1100 (H,wt=19): 1231 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(110(a,1),1226(a,2,2))]. given #1101 (H,wt=21): 1220 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [hyper(279,a,810,a),flip(a)]. given #1102 (H,wt=19): 1243 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(307(a,1),1220(a,1,2))]. given #1103 (H,wt=21): 1232 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(198(a,1),1226(a,2,2))]. given #1104 (H,wt=21): 1237 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(77(a,1),1225(a,2,2,2,1))]. given #1105 (H,wt=21): 1238 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(9(a,1),1228(a,1,2,1)),flip(a)]. given #1106 (H,wt=22): 1229 x * T(x \ 1,y) != z * u | K(y \ (y / x),y) / u = z. [para(1222(a,1),284(a,1,2))]. given #1107 (H,wt=23): 1236 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(22(a,2),1225(a,1,1,2,2))]. given #1108 (H,wt=25): 848 (x / y) * R((x / y) \ 1,x / y,y) != z | (y / x) * (x / y) = z. [para(600(a,2),252(a,1,2))]. given #1109 (H,wt=17): 1247 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(848,a,1031,a),flip(a)]. given #1110 (H,wt=21): 1248 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(74(a,1),1247(a,1,2)),flip(a)]. given #1111 (H,wt=17): 1249 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(525,a,1248,a),flip(a)]. given #1112 (H,wt=17): 1251 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(131,a,1249,a)]. given #1113 (H,wt=25): 850 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(116,a,634,a(flip),b,108,a)]. given #1114 (H,wt=25): 887 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(12(a,1),875(a,1,2,1))]. given #1115 (H,wt=25): 893 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(27(a,2),890(a,1,1,2))]. given #1116 (H,wt=25): 894 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(256(a,1),448(a,1,2,1))]. given #1117 (H,wt=25): 895 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(96(a,1),449(a,1,2,1))]. given #1118 (H,wt=25): 898 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(105(a,1),475(a,1,1,1))]. given #1119 (H,wt=21): 1255 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(788,a,898,a),flip(a)]. given #1120 (H,wt=17): 1256 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(582(a,1),1255(a,1,1))]. given #1121 (H,wt=15): 1258 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(536,a,1256,a),flip(a)]. given #1122 (H,wt=15): 1262 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(116,a,75,a(flip),b,1256,a),flip(a)]. given #1123 (H,wt=15): 1269 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(128,a,1262,a)]. given #1124 (H,wt=15): 1270 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(122,a,1262,a)]. given #1125 (H,wt=17): 1257 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(549,a,1256,a)]. given #1126 (H,wt=17): 1259 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(529,a,1256,a)]. given #1127 (H,wt=17): 1260 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(122,a,1256,a)]. given #1128 (H,wt=17): 1261 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(116,a,142,a(flip),b,1256,a)]. given #1129 (H,wt=17): 1263 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(115,a,142,a(flip),b,1256,a)]. given #1130 (H,wt=17): 1266 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(212,a,1258,a,b,10,a)]. given #1131 (H,wt=18): 1274 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(169(a,1),1259(a,1,1,1)),flip(a)]. given #1132 (H,wt=18): 1276 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(94(a,1),1261(a,1,1)),flip(a)]. given #1133 (H,wt=18): 1279 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. [hyper(128,a,1276,a)]. given #1134 (H,wt=18): 1280 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(122,a,1276,a),flip(a)]. given #1135 (H,wt=20): 1267 x / L(x,y,z) != x * u | T(1 / L(x,y,z),x) = u. [para(1258(a,1),213(a,2)),flip(a)]. given #1136 (H,wt=20): 1273 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1259(a,1),331(a,1,2)),flip(b)]. given #1137 (H,wt=20): 1281 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(116,a,258,a(flip),b,1276,a)]. given #1138 (H,wt=20): 1284 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(12(a,1),1280(a,2,2,1,2)),flip(a)]. given #1139 (H,wt=22): 1268 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1258(a,1),232(a,1,1)),flip(a)]. given #1140 (H,wt=22): 1277 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1266(a,1),218(a,1,1))]. given #1141 (H,wt=23): 1278 L(x,y,z) \ ((z * (y * x)) / x) = T((z * y) / x,L(x,y,z)). [hyper(212,a,1276,a,b,10,a),flip(a)]. given #1142 (H,wt=24): 1275 (x * L(y,z,u)) * y != w * v5 | w \ ((x * y) * L(y,z,u)) = v5. [para(1260(a,1),378(a,1,2))]. given #1143 (H,wt=25): 899 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(259(a,1),475(a,1,1,1)),flip(a)]. given #1144 (H,wt=25): 900 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(105(a,1),476(a,1,1,1))]. given #1145 (H,wt=25): 922 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(794(a,1),104(a,1,1))]. given #1146 (H,wt=25): 926 (x * y) * T(L(z,y,x),u) != w * v5 | w \ (x * (y * T(z,u))) = v5. [para(25(a,1),531(a,1,2))]. given #1147 (H,wt=25): 979 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(392(a,1),973(a,2,2)),flip(a)]. given #1148 (H,wt=20): 1289 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(800,a,979,a)]. given #1149 (H,wt=18): 1290 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1169(a,1),1289(a,1,1))]. given #1150 (H,wt=18): 1291 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(128,a,1290,a)]. given #1151 (H,wt=20): 1292 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(199(a,1),1290(a,1,1,2)),flip(a)]. given #1152 (H,wt=21): 1293 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1290(a,1),280(a,1,1))]. given #1153 (H,wt=22): 1294 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(77(a,1),1291(a,1,1,2,2)),flip(a)]. given #1154 (H,wt=20): 1296 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(62,a,1181,a(flip),b,1294,a),flip(a)]. given #1155 (H,wt=20): 1297 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [hyper(129,a,1296,a)]. given #1156 (H,wt=25): 1037 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(212,a,1035,a,b,10,a),flip(a)]. given #1157 (H,wt=25): 1051 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(77(a,1),1027(a,1,1,1,2))]. given #1158 (H,wt=21): 1300 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(77(a,1),1051(a,1,2)),flip(a)]. given #1159 (H,wt=19): 1301 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(7(a,1),1300(a,2,1,1))]. given #1160 (H,wt=25): 1058 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(74(a,1),1050(a,2,2,1))]. given #1161 (H,wt=21): 1302 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(74(a,1),1058(a,1,1,2,1))]. given #1162 (H,wt=25): 1068 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1060(a,1),207(a,1,2))]. given #1163 (H,wt=18): 1304 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(291,a,1068,a),flip(a)]. given #1164 (H,wt=25): 1086 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(457(a,1),680(a,1,2,1)),flip(a)]. given #1165 (H,wt=25): 1087 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(459(a,1),684(a,1,2,1)),flip(a)]. given #1166 (H,wt=25): 1089 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(686(a,1),437(a,1,2)),flip(a)]. given #1167 (H,wt=25): 1090 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(693(a,1),470(a,1,1)),flip(a)]. given #1168 (H,wt=23): 1308 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(7(a,1),1090(a,2,1,1,1))]. given #1169 (H,wt=23): 1309 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(273,a,588,a(flip),b,1308,a),flip(a)]. given #1170 (H,wt=23): 1310 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(588(a,1),1309(a,1,1))]. given #1171 (H,wt=23): 1311 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(128,a,1310,a),flip(a)]. given #1172 (H,wt=25): 1095 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(760(a,2),45(a,1))]. given #1173 (H,wt=25): 1096 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(192(a,1),789(a,1,2,1,2))]. given #1174 (H,wt=19): 1313 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(988,a,1096,a)]. given #1175 (H,wt=19): 1314 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(987,a,1096,a),flip(a)]. given #1176 (H,wt=20): 1317 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1313(a,2),1297(a,1,1)),flip(a)]. given #1177 (H,wt=22): 1316 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1313(a,1),46(a,1)),flip(a)]. given #1178 (H,wt=25): 1099 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(790(a,1),438(a,1,2)),flip(a)]. given #1179 (H,wt=25): 1122 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(199(a,1),870(a,1,2,2))]. given #1180 (H,wt=25): 1140 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(227(a,2),1129(a,1,2))]. given #1181 (H,wt=25): 1166 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(74(a,1),1165(a,1,2,1,1)),flip(a)]. given #1182 (H,wt=21): 1319 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(74(a,1),1166(a,1,1,1)),flip(a)]. given #1183 (H,wt=25): 1180 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(22(a,2),1179(a,1,2,1)),flip(a)]. given #1184 (H,wt=21): 1322 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(273,a,211,a(flip),b,1180,a),flip(a)]. given #1185 (H,wt=25): 1208 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(212,a,1206,a,b,10,a)]. given #1186 (H,wt=25): 1252 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(212,a,1251,a,b,10,a)]. given #1187 (H,wt=25): 1285 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1268(a,2),43(a,1))]. given #1188 (H,wt=25): 1286 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(273,a,581,a(flip),b,899,a),flip(a)]. given #1189 (H,wt=25): 1287 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(777,a,900,a)]. given #1190 (H,wt=25): 1299 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1037(a,1),388(a,1))]. given #1191 (H,wt=25): 1305 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(122,a,1086,a)]. given #1192 (H,wt=23): 1326 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(8(a,1),1305(a,1,2,2,1,2)),flip(a)]. given #1193 (H,wt=25): 1306 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(10(a,1),1087(a,2,2,1,2))]. given #1194 (H,wt=25): 1307 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(122,a,1089,a)]. given #1195 (H,wt=23): 1328 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(8(a,1),1307(a,1,2,2,1,2)),flip(a)]. given #1196 (H,wt=25): 1318 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(122,a,1099,a)]. given #1197 (H,wt=21): 1329 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(10(a,1),1318(a,1,2,2,1))]. given #1198 (H,wt=17): 1330 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(434,a,1329,a)]. given #1199 (H,wt=17): 1332 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(273,a,1313,a,b,1330,a)]. given #1200 (H,wt=17): 1334 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1330(a,2),1314(a,1,2))]. given #1201 (H,wt=17): 1335 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(74(a,1),1334(a,1,2,2,1)),flip(a)]. given #1202 (H,wt=20): 1331 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1329(a,1),434(a,1))]. given #1203 (H,wt=20): 1336 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(103(a,2),1335(a,1,2))]. given #1204 (H,wt=16): 1337 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(11(a,1),1336(a,2,2,2))]. given #1205 (H,wt=24): 1333 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1269(a,1),1330(a,1,2)),flip(a)]. given #1206 (H,wt=25): 1321 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1319(a,1),1005(a,1,2)),flip(a)]. given #1207 (H,wt=25): 1324 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(581(a,1),1286(a,1,1))]. given #1208 (H,wt=23): 1339 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(71(a,1),1324(a,1,1,2,1,2)),flip(a)]. given #1209 (H,wt=12): 1342 T(x,x * L(x \ 1,y,z)) = x. [hyper(212,a,806,a(flip),b,1339,a(flip))]. given #1210 (H,wt=11): 1346 T(x,x * ((y * x) \ y)) = x. [para(192(a,1),1342(a,1,2,2))]. given #1211 (H,wt=12): 1345 K(x,x * L(x \ 1,y,z)) = 1. [hyper(54,a,1342,a)]. given #1212 (H,wt=14): 1349 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1015(a,1),1342(a,1,2))]. given #1213 (H,wt=14): 1350 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1301(a,1),1342(a,1,2))]. given #1214 (H,wt=15): 1347 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(352(a,1),1342(a,1,2,2))]. given #1215 (H,wt=16): 1348 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(583(a,1),1342(a,1,2))]. given #1216 (H,wt=20): 1353 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1348(a,1),716(a,1,1))]. given #1217 (H,wt=22): 1343 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(212,a,1339,a(flip),b,452,a(flip))]. given #1218 (H,wt=22): 1351 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1346(a,1),652(a,1,1,2))]. given #1219 (H,wt=22): 1352 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1350(a,1),422(a,1,1,2)),flip(a)]. given #1220 (H,wt=25): 1325 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(588(a,1),1287(a,2,1))]. given #1221 (H,wt=21): 1359 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1325(a,1,2,1)),flip(a)]. given #1222 (H,wt=17): 1362 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1359(a,1,1,2,1))]. given #1223 (H,wt=15): 1364 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(536,a,1362,a),flip(a)]. given #1224 (H,wt=15): 1368 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(116,a,75,a(flip),b,1362,a),flip(a)]. given #1225 (H,wt=15): 1371 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(128,a,1368,a)]. given #1226 (H,wt=17): 1363 (x * y) / R(y,z,u) = (x / R(y,z,u)) * y. [hyper(549,a,1362,a)]. given #1227 (H,wt=17): 1365 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(279,a,1362,a),flip(a)]. given #1228 (H,wt=17): 1366 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(122,a,1362,a)]. given #1229 (H,wt=17): 1367 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(116,a,142,a(flip),b,1362,a)]. given #1230 (H,wt=17): 1369 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(115,a,142,a(flip),b,1362,a)]. given #1231 (H,wt=18): 1375 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1371(a,1),222(a,1,1))]. given #1232 (H,wt=19): 1372 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(62,a,591,a,b,1368,a)]. given #1233 (H,wt=19): 1378 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(777,a,1372,a)]. given #1234 (H,wt=20): 1370 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(212,a,1368,a,b,10,a),flip(a)]. given #1235 (H,wt=20): 1377 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1365(a,1),280(a,1,1))]. given #1236 (H,wt=23): 1356 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(212,a,1325,a(flip),b,894,a(flip)),flip(a)]. given #1237 (H,wt=21): 1380 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(22(a,2),1356(a,1,2,1,2)),flip(a)]. given #1238 (H,wt=19): 1383 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(179(a,1),1380(a,2,2,1,2))]. given #1239 (H,wt=12): 1384 T(x,x * R(x \ 1,y,z)) = x. [hyper(53,a,1383,a)]. given #1240 (H,wt=11): 1386 T(x,(y / (x * y)) * x) = x. [para(602(a,2),1384(a,1,2))]. given #1241 (H,wt=9): 1389 T(x,(x \ 1) * x) = x. [para(157(a,1),1386(a,1,2,1))]. given #1242 (H,wt=12): 1391 R(x,x \ 1,x) = T(x,x \ 1). [para(1389(a,1),716(a,1,1))]. given #1243 (H,wt=14): 1388 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1070(a,1),1384(a,1,2))]. given #1244 (H,wt=16): 1385 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(77(a,1),1384(a,1,2,2,1))]. given #1245 (H,wt=16): 1387 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(590(a,1),1384(a,1,2))]. given #1246 (H,wt=18): 1392 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1388(a,1),23(a,1,1)),flip(a)]. given #1247 (H,wt=20): 1394 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1387(a,1),716(a,1,1))]. given #1248 (H,wt=21): 1381 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(116,a,1380,a,b,588,a)]. given #1249 (H,wt=21): 1382 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(115,a,1380,a,b,xx)]. given #1250 (H,wt=21): 1395 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(9(a,1),1381(a,1,1,1,2,1)),flip(a)]. given #1251 (H,wt=23): 1358 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(7(a,1),1325(a,1,2,1,2))]. given #1252 (H,wt=23): 1373 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1368(a,1),213(a,2)),flip(a)]. given #1253 (H,wt=23): 1397 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(62,a,894,a(flip),b,1358,a)]. given #1254 (H,wt=24): 1376 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1371(a,1),1330(a,1,2)),flip(a)]. given #1255 (H,wt=22): 1400 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1063(a,1),1376(a,1,2,1))]. given #1256 (H,wt=25): 1338 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(11(a,1),1324(a,1,1,2,1,2)),flip(a)]. given #1257 (H,wt=25): 1354 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(62,a,894,a(flip),b,1325,a)]. given #1258 (H,wt=25): 1390 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1386(a,1),966(a,1,1,1)),flip(a)]. given #1259 (H,wt=24): 1402 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(596(a,1),1390(a,1,2))]. given #1260 (H,wt=25): 1393 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1385(a,1),652(a,1,1,2))]. given #1261 (H,wt=26): 443 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(94(a,1),18(a,2,1)),flip(a)]. given #1262 (H,wt=26): 464 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(94(a,1),96(a,2,1))]. given #1263 (H,wt=26): 473 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(104(a,1),20(a,2,2)),flip(a)]. given #1264 (H,wt=26): 487 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(104(a,1),104(a,1,2))]. given #1265 (H,wt=26): 498 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(104(a,1),105(a,2,2))]. given #1266 (H,wt=26): 611 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(115,a,270,a(flip),b,94,a)]. given #1267 (H,wt=26): 613 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(270(a,2),18(a,2,1)),flip(a)]. given #1268 (H,wt=17): 1404 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(62,a,611,a(flip),b,613,a)]. given #1269 (H,wt=26): 615 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(270(a,2),294(a,1,1))]. given #1270 (H,wt=26): 624 T(R(x / y,y,z),u) * (y * z) = (y * z) * T((y * z) \ (x * z),u). [para(105(a,2),417(a,1,1,1))]. given #1271 (H,wt=23): 1405 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(732,a,624,a),flip(a)]. given #1272 (H,wt=22): 1407 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [hyper(837,a,1405,a)]. given #1273 (H,wt=20): 1410 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(198(a,1),1407(a,1,1,1)),flip(a)]. given #1274 (H,wt=18): 1411 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(68(a,1),1410(a,1,1,2)),flip(a)]. given #1275 (H,wt=18): 1412 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1260(a,1),1410(a,1,1)),flip(a)]. given #1276 (H,wt=18): 1413 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1366(a,1),1410(a,1,1)),flip(a)]. given #1277 (H,wt=19): 1414 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1412(a,1),584(a,1,2))]. given #1278 (H,wt=19): 1417 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1413(a,1),584(a,1,2))]. given #1279 (H,wt=19): 1419 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [hyper(128,a,1414,a)]. given #1280 (H,wt=21): 1420 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(116,a,143,a(flip),b,1414,a)]. given #1281 (H,wt=23): 1408 x * (y * T(y \ (x \ (z * y)),u)) = (T(z / x,u) * x) * y. [hyper(62,a,809,a(flip),b,1405,a)]. given #1282 (H,wt=23): 1409 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(417(a,1),1405(a,2,1))]. given #1283 (H,wt=19): 1428 (x * T(x \ (x * y),z)) * y = (x * y) * T(y,z). [para(9(a,1),1409(a,1,2,1)),flip(a)]. given #1284 (H,wt=15): 1430 (x * T(y,z)) * y = (x * y) * T(y,z). [para(9(a,1),1428(a,1,1,2,1))]. given #1285 (H,wt=13): 1432 (1 / T(x,y)) * x = x / T(x,y). [hyper(536,a,1430,a),flip(a)]. given #1286 (H,wt=13): 1435 T(x * T(y,x * y),y) = x * y. [hyper(212,a,1430,a,b,108,a(flip))]. given #1287 (H,wt=13): 1439 (1 / x) * T(x,y) = T(x,y) / x. [hyper(116,a,75,a(flip),b,1430,a),flip(a)]. given #1288 (H,wt=13): 1446 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(122,a,1432,a)]. given #1289 (H,wt=13): 1450 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(122,a,1439,a)]. given #1290 (H,wt=15): 1431 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(549,a,1430,a)]. given #1291 (H,wt=15): 1433 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(279,a,1430,a),flip(a)]. given #1292 (H,wt=15): 1434 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(273,a,142,a(flip),b,1430,a),flip(a)]. given #1293 (H,wt=13): 1464 (x / y) * T(y,x) = (y * x) / y. [hyper(116,a,108,a(flip),b,1434,a),flip(a)]. given #1294 (H,wt=13): 1469 T(x,y) = (y / x) \ ((x * y) / x). [hyper(122,a,1464,a),flip(a)]. given #1295 (H,wt=15): 1436 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(122,a,1430,a)]. given #1296 (H,wt=15): 1437 (x * (y * x)) / x = y * T(x,y * x). [hyper(116,a,108,a(flip),b,1430,a)]. given #1297 (H,wt=15): 1438 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(116,a,82,a(flip),b,1430,a),flip(a)]. given #1298 (H,wt=15): 1445 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(212,a,1432,a,b,10,a)]. given #1299 (H,wt=15): 1475 x \ ((y * (x * y)) / y) = T(y,x * y). [para(11(a,1),1469(a,2,1)),flip(a)]. given #1300 (H,wt=13): 1481 T(x,x / (y \ 1)) = T(x,y * x). [hyper(62,a,1182,a(flip),b,1475,a)]. given #1301 (H,wt=15): 1478 ((x * (y * x)) / x) / T(x,y * x) = y. [hyper(116,a,1437,a,b,xx)]. given #1302 (H,wt=16): 1459 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1446(a,1),225(a,1,2))]. given #1303 (H,wt=16): 1477 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1436(a,1),1410(a,1,1)),flip(a)]. given #1304 (H,wt=17): 1449 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(212,a,1439,a,b,10,a),flip(a)]. given #1305 (H,wt=17): 1451 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(62,a,269,a(flip),b,1439,a),flip(a)]. given #1306 (H,wt=17): 1456 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [para(1439(a,1),423(a,1,1))]. given #1307 (H,wt=15): 1490 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(36,a,1227,a,b,1456,a)]. given #1308 (H,wt=15): 1493 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(129,a,1490,a(flip)),flip(a)]. given #1309 (H,wt=17): 1462 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1000(a,2),1433(a,1,1))]. given #1310 (H,wt=17): 1463 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [hyper(212,a,1434,a,b,10,a)]. given #1311 (H,wt=17): 1467 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(525,a,1464,a),flip(a)]. given #1312 (H,wt=17): 1468 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(212,a,1464,a,b,10,a),flip(a)]. given #1313 (H,wt=17): 1487 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(1449(a,1),960(a,1,2))]. given #1314 (H,wt=17): 1488 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(109(a,1),1451(a,1,1)),flip(a)]. given #1315 (H,wt=15): 1499 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(62,a,1044,a(flip),b,1488,a),flip(a)]. given #1316 (H,wt=17): 1489 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [hyper(129,a,1456,a)]. given #1317 (H,wt=17): 1491 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(36,a,420,a,b,1456,a)]. given #1318 (H,wt=18): 1440 (x * y) * T(y,z) != u * y | x * T(y,z) = u. [para(1430(a,1),43(a,1))]. given #1319 (H,wt=18): 1441 (x * T(y,z)) * y != u * T(y,z) | x * y = u. [para(1430(a,2),43(a,1))]. given #1320 (H,wt=18): 1447 x / T(x,y) != x * z | T(1 / T(x,y),x) = z. [para(1432(a,1),213(a,2)),flip(a)]. given #1321 (H,wt=18): 1461 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1433(a,1),43(a,1)),flip(a)]. given #1322 (H,wt=18): 1465 x * T(y,z) != u * y | (x / y) * T(y,z) = u. [para(1434(a,1),43(a,1))]. given #1323 (H,wt=18): 1479 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(1437(a,2),288(a,1,2))]. given #1324 (H,wt=16): 1501 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1182(a,1),1479(a,1))]. given #1325 (H,wt=18): 1482 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1475(a,1),225(a,1,2))]. given #1326 (H,wt=18): 1486 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(618,a,1449,a)]. given #1327 (H,wt=18): 1496 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(1493(a,2),280(a,1,1))]. given #1328 (H,wt=19): 1453 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(110(a,1),1439(a,1,2)),flip(a)]. given #1329 (H,wt=17): 1503 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(110(a,1),1453(a,1,1)),flip(a)]. given #1330 (H,wt=15): 1505 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(62,a,1054,a(flip),b,1503,a),flip(a)]. given #1331 (H,wt=19): 1474 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1464(a,1),1237(a,2,2))]. given #1332 (H,wt=19): 1485 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(650(a,1),1477(a,1,1,2))]. given #1333 (H,wt=19): 1497 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1462(a,1),943(a,1,2)),flip(a)]. given #1334 (H,wt=19): 1507 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(128,a,1497,a),flip(a)]. given #1335 (H,wt=17): 1508 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(62,a,1000,a(flip),b,1507,a),flip(a)]. given #1336 (H,wt=20): 1444 (x * y) * T(y,z) != y * u | T(x * T(y,z),y) = u. [para(1430(a,1),213(a,2)),flip(a)]. given #1337 (H,wt=20): 1454 T(x,y) / x != T(x,y) * z | T(1 / x,T(x,y)) = z. [para(1439(a,1),213(a,2)),flip(a)]. given #1338 (H,wt=20): 1457 L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). [para(1439(a,1),859(a,1,1))]. given #1339 (H,wt=20): 1460 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1431(a,2),213(a,2)),flip(a)]. given #1340 (H,wt=20): 1466 x * T(y,z) != y * u | T((x / y) * T(y,z),y) = u. [para(1434(a,1),213(a,2)),flip(a)]. given #1341 (H,wt=20): 1470 (x * y) / x != T(x,y) * z | T(y / x,T(x,y)) = z. [para(1464(a,1),213(a,2)),flip(a)]. given #1342 (H,wt=20): 1471 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1464(a,1),291(a,1,2))]. given #1343 (H,wt=20): 1500 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(1489(a,1),626(a,1))]. given #1344 (H,wt=20): 1509 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(752,a,1508,a)]. given #1345 (H,wt=18): 1511 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1183(a,1),1509(a,1,1))]. given #1346 (H,wt=21): 1426 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(212,a,1409,a(flip),b,809,a(flip)),flip(a)]. given #1347 (H,wt=19): 1512 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(22(a,2),1426(a,1,2,1,2)),flip(a)]. given #1348 (H,wt=17): 1513 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(273,a,108,a(flip),b,1512,a),flip(a)]. given #1349 (H,wt=15): 1516 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(108(a,1),1513(a,1,1))]. given #1350 (H,wt=15): 1518 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1516(a,2),73(a,1,2,1))]. given #1351 (H,wt=15): 1519 x * (T(y * x,x) / x) = T(x * y,x). [para(9(a,1),1518(a,1,2,1,1,1))]. given #1352 (H,wt=15): 1520 T(x * (y / x),x) = x * (T(y,x) / x). [para(79(a,1),1518(a,1,2,1,1)),flip(a)]. given #1353 (H,wt=15): 1521 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(115,a,1520,a,b,xx)]. given #1354 (H,wt=19): 1514 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(115,a,1512,a,b,xx)]. given #1355 (H,wt=19): 1517 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(115,a,1516,a,b,260,a)]. given #1356 (H,wt=19): 1523 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(9(a,1),1514(a,1,2,1,2,1)),flip(a)]. given #1357 (H,wt=21): 1427 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(7(a,1),1409(a,1,2,1,2))]. given #1358 (H,wt=11): 1527 T(x,x * T(x \ 1,y)) = x. [hyper(212,a,669,a(flip),b,1427,a(flip))]. given #1359 (H,wt=13): 1532 T(x \ 1,x \ T(x,y)) = x \ 1. [para(877(a,1),1527(a,1,2))]. given #1360 (H,wt=13): 1533 T(1 / x,T(x,y) / x) = 1 / x. [para(1491(a,1),1527(a,1,2))]. given #1361 (H,wt=15): 1531 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(419(a,1),1527(a,1,2))]. given #1362 (H,wt=15): 1534 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(53,a,1532,a)]. given #1363 (H,wt=18): 1536 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1531(a,1),716(a,1,1))]. given #1364 (H,wt=20): 1537 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1534(a,1),677(a,1,1)),flip(a)]. given #1365 (H,wt=15): 1538 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(273,a,676,a,b,1537,a)]. given #1366 (H,wt=11): 1539 T(K(x,y),x \ 1) = K(x,y). [para(16(a,2),1538(a,2,1)),flip(a)]. given #1367 (H,wt=11): 1540 T(x \ 1,K(x,y)) = x \ 1. [hyper(53,a,1539,a)]. given #1368 (H,wt=15): 1541 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1539(a,1),108(a,1,2)),flip(a)]. given #1369 (H,wt=13): 1544 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(62,a,844,a(flip),b,1541,a),flip(a)]. given #1370 (H,wt=16): 1543 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1540(a,1),357(a,2,1))]. given #1371 (H,wt=15): 1545 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(273,a,192,a(flip),b,1543,a),flip(a)]. given #1372 (H,wt=13): 1546 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(53,a,1545,a)]. given #1373 (H,wt=13): 1547 T(K(x \ 1,y),x) = K(x \ 1,y). [para(153(a,1),1546(a,1,2))]. given #1374 (H,wt=15): 1548 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1547(a,1),108(a,1,2)),flip(a)]. given #1375 (H,wt=18): 1542 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1540(a,1),252(a,1,2))]. given #1376 (H,wt=21): 1442 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(108(a,1),1430(a,2,1))]. given #1377 (H,wt=19): 1549 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(209(a,1),1442(a,1,1))]. given #1378 (H,wt=21): 1443 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(110(a,1),1430(a,1,1,2)),flip(a)]. given #1379 (H,wt=19): 1551 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(110(a,1),1443(a,1,2))]. given #1380 (H,wt=19): 1554 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(549,a,1551,a)]. given #1381 (H,wt=19): 1555 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(116,a,142,a(flip),b,1551,a)]. given #1382 (H,wt=21): 1452 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(1439(a,1),16(a,2,1)),flip(a)]. given #1383 (H,wt=21): 1458 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(1439(a,1),1346(a,1,2,2,1))]. given #1384 (H,wt=21): 1504 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(212,a,1503,a,b,10,a),flip(a)]. given #1385 (H,wt=21): 1525 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(9(a,1),1517(a,1,2,1,1))]. given #1386 (H,wt=21): 1526 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(62,a,809,a(flip),b,1427,a)]. given #1387 (H,wt=19): 1560 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(108(a,1),1526(a,1,2)),flip(a)]. given #1388 (H,wt=21): 1528 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1427(a,1),1236(a,2,2))]. given #1389 (H,wt=19): 1563 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(273,a,22,a,b,1528,a)]. given #1390 (H,wt=17): 1568 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(307(a,1),1563(a,1,1)),flip(a)]. given #1391 (H,wt=20): 1569 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1154(a,2),1563(a,1,1)),flip(a)]. given #1392 (H,wt=21): 1535 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1533(a,1),422(a,1,1,2)),flip(a)]. given #1393 (H,wt=21): 1559 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1504(a,1),1490(a,1,1))]. given #1394 (H,wt=21): 1564 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [hyper(131,a,1528,a(flip)),flip(a)]. given #1395 (H,wt=21): 1566 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(273,a,1221,a(flip),b,1563,a)]. given #1396 (H,wt=21): 1567 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(115,a,1563,a,b,1221,a(flip))]. given #1397 (H,wt=21): 1571 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(252,a,1566,a),flip(a)]. given #1398 (H,wt=22): 1483 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(1475(a,1),284(a,1,2))]. given #1399 (H,wt=22): 1484 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(1475(a,1),378(a,1,2))]. given #1400 (H,wt=22): 1524 x * T(x \ T(y,x),z) != u | T(x * T(x \ y,z),x) = u. [para(1514(a,1),225(a,1,2))]. given #1401 (H,wt=22): 1550 (x * y) * T(T(x,y),z) != u * T(x,y) | T(x,z) * y = u. [para(1549(a,1),43(a,1))]. given #1402 (H,wt=22): 1556 (x * (y / z)) * (z \ y) != u * (y / z) | x * (z \ y) = u. [para(1551(a,2),43(a,1))]. given #1403 (H,wt=23): 1415 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(62,a,821,a(flip),b,1413,a)]. given #1404 (H,wt=21): 1575 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(273,a,110,a(flip),b,1415,a),flip(a)]. given #1405 (H,wt=21): 1576 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [hyper(131,a,1575,a)]. given #1406 (H,wt=20): 1577 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(193(a,1),1576(a,1,1,2))]. given #1407 (H,wt=18): 1578 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(273,a,7,a(flip),b,1577,a),flip(a)]. given #1408 (H,wt=20): 1579 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(10(a,1),1578(a,1,1,2,2))]. given #1409 (H,wt=23): 1418 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(212,a,1414,a,b,10,a),flip(a)]. given #1410 (H,wt=23): 1423 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(12(a,1),1408(a,1,2,2,1,2,2)),flip(a)]. given #1411 (H,wt=21): 1580 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(110(a,1),1423(a,1,1,1)),flip(a)]. given #1412 (H,wt=19): 1583 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(66(a,1),1580(a,1,2,2,1,2)),flip(a)]. given #1413 (H,wt=21): 1582 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(62,a,809,a,b,1580,a)]. given #1414 (H,wt=21): 1585 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1056(a,2),1580(a,1,2)),flip(a)]. given #1415 (H,wt=19): 1586 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(71(a,1),1585(a,1,1,1,2)),flip(a)]. given #1416 (H,wt=19): 1588 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(227(a,2),1586(a,2,1))]. given #1417 (H,wt=19): 1589 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(9(a,1),1588(a,1,2,2)),flip(a)]. given #1418 (H,wt=21): 1590 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(22(a,2),1588(a,1,2,2))]. given #1419 (H,wt=22): 1591 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1589(a,1),287(a,1))]. given #1420 (H,wt=23): 1424 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [para(417(a,1),1408(a,2,1))]. given #1421 (H,wt=23): 1448 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1432(a,1),1122(a,1,2))]. given #1422 (H,wt=23): 1480 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(1445(a,1),417(a,1,1)),flip(a)]. given #1423 (H,wt=21): 1596 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(62,a,1566,a(flip),b,1480,a),flip(a)]. given #1424 (H,wt=19): 1597 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(307(a,1),1596(a,2,1))]. given #1425 (H,wt=23): 1492 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(110(a,1),1456(a,1,1,1))]. given #1426 (H,wt=23): 1552 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(198(a,1),1443(a,1,2)),flip(a)]. given #1427 (H,wt=19): 1599 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(9(a,1),1552(a,1,1,2)),flip(a)]. given #1428 (H,wt=17): 1601 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(536,a,1599,a),flip(a)]. given #1429 (H,wt=19): 1600 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(549,a,1599,a)]. given #1430 (H,wt=19): 1602 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(116,a,142,a(flip),b,1599,a)]. given #1431 (H,wt=21): 1603 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(984(a,1),1599(a,1,1)),flip(a)]. given #1432 (H,wt=17): 1605 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(279,a,1603,a),flip(a)]. given #1433 (H,wt=17): 1606 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(954,a,1605,a)]. given #1434 (H,wt=17): 1608 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(128,a,1606,a)]. given #1435 (H,wt=17): 1611 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(62,a,1185,a,b,1608,a)]. given #1436 (H,wt=17): 1612 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(9(a,1),1611(a,1,2,2,2)),flip(a)]. given #1437 (H,wt=20): 1609 (x * y) / x != z * (x \ y) | T(x,x / (x / y)) = z. [para(1606(a,1),43(a,1))]. given #1438 (H,wt=20): 1610 ((x * y) / x) / (x \ y) != z | T(x,x / (x / y)) = z. [para(1606(a,1),280(a,1,1))]. given #1439 (H,wt=23): 1553 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(217(a,1),1443(a,1,2)),flip(a)]. given #1440 (H,wt=19): 1613 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(77(a,1),1553(a,1,1,2)),flip(a)]. given #1441 (H,wt=17): 1614 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(536,a,1613,a),flip(a)]. given #1442 (H,wt=23): 1574 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1532(a,1),1567(a,1,2,1,2)),flip(a)]. given #1443 (H,wt=19): 1615 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(10(a,1),1574(a,2,2,1))]. given #1444 (H,wt=17): 1617 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(179(a,1),1615(a,2,2))]. given #1445 (H,wt=17): 1618 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(53,a,1617,a)]. given #1446 (H,wt=13): 1620 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(54,a,1618,a)]. given #1447 (H,wt=23): 1581 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(417(a,1),1423(a,1,1))]. given #1448 (H,wt=23): 1625 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1243(a,2),1581(a,1,1))]. given #1449 (H,wt=21): 1626 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(66(a,1),1625(a,2,2,2,1,2))]. given #1450 (H,wt=19): 1628 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(108(a,1),1626(a,2,2))]. given #1451 (H,wt=19): 1629 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(307(a,1),1626(a,2,2))]. given #1452 (H,wt=20): 1630 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(34,a,104,a(flip),b,1628,a),flip(a)]. given #1453 (H,wt=23): 1632 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1630(a,1),43(a,1)),flip(a)]. given #1454 (H,wt=24): 1506 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1503(a,1),213(a,2)),flip(a)]. given #1455 (H,wt=24): 1510 x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(1457(a,1),581(a,1,1)),flip(a)]. given #1456 (H,wt=24): 1530 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1527(a,1),720(a,1,1))]. given #1457 (H,wt=20): 1633 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(420(a,1),1530(a,1,2)),flip(a)]. given #1458 (H,wt=16): 1634 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(420(a,1),1633(a,1,2)),flip(a)]. given #1459 (H,wt=22): 1635 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1634(a,1),31(a,1,1)),flip(a)]. given #1460 (H,wt=24): 1572 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1566(a,1),214(a,1))]. given #1461 (H,wt=24): 1573 T(x,y) * T(T(x,y) \ 1,z) != u | T(x * T(x \ 1,z),y) = u. [para(1567(a,1),225(a,1,2))]. given #1462 (H,wt=25): 1416 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1413(a,1),211(a,1,2)),flip(a)]. given #1463 (H,wt=25): 1425 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(738,a,1409,a),flip(a)]. given #1464 (H,wt=23): 1637 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(669(a,1),1425(a,1,1))]. given #1465 (H,wt=25): 1429 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1366(a,1),1409(a,1,2,1)),flip(a)]. given #1466 (H,wt=21): 1638 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(9(a,1),1429(a,1,1,2,1))]. given #1467 (H,wt=21): 1639 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(116,a,142,a(flip),b,1638,a)]. given #1468 (H,wt=19): 1640 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(108(a,1),1639(a,1,1)),flip(a)]. given #1469 (H,wt=23): 1641 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [hyper(212,a,1640,a,b,10,a),flip(a)]. given #1470 (H,wt=25): 1502 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1291(a,1),1486(a,1,3)),flip(a)]. given #1471 (H,wt=25): 1529 (R(x,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1527(a,1),238(a,1,2,1))]. given #1472 (H,wt=25): 1584 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(822(a,1),1580(a,1,2)),flip(a)]. given #1473 (H,wt=25): 1621 x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). [hyper(212,a,1581,a,b,10,a),flip(a)]. given #1474 (H,wt=25): 1636 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1634(a,1),1080(a,1,1))]. given #1475 (H,wt=23): 1644 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(218(a,1),1636(a,1,2))]. given #1476 (H,wt=25): 1643 (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1060(a,1),1529(a,1,1))]. given #1477 (H,wt=26): 744 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(94(a,1),453(a,1,2,2))]. given #1478 (H,wt=26): 824 T(R(x / (1 / y),1 / y,y),z) / y = (1 / y) * T((1 / y) \ x,z). [hyper(273,a,417,a(flip),b,519,a),flip(a)]. given #1479 (H,wt=19): 1646 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [para(488(a,1),824(a,1,1,1)),flip(a)]. given #1480 (H,wt=19): 1647 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(122,a,1646,a)]. given #1481 (H,wt=19): 1649 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [para(9(a,1),1646(a,1,2,1)),flip(a)]. given #1482 (H,wt=19): 1650 x * ((1 / x) * T((1 / x) \ y,x)) = T(x * y,x). [para(1646(a,2),1519(a,1,2))]. given #1483 (H,wt=19): 1652 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [para(12(a,1),1647(a,1,2,1,1)),flip(a)]. given #1484 (H,wt=17): 1658 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1446(a,1),1652(a,1,1)),flip(a)]. given #1485 (H,wt=17): 1659 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [hyper(131,a,1658,a)]. given #1486 (H,wt=19): 1654 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [hyper(129,a,1649,a),flip(a)]. given #1487 (H,wt=19): 1655 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(1649(a,1),1519(a,1,2)),flip(a)]. given #1488 (H,wt=19): 1656 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [hyper(132,a,1652,a)]. given #1489 (H,wt=19): 1660 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [hyper(37,a,22,a(flip),b,1658,a),flip(a)]. given #1490 (H,wt=21): 1648 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(62,a,1228,a(flip),b,1646,a),flip(a)]. given #1491 (H,wt=21): 1661 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(212,a,1659,a,b,10,a),flip(a)]. given #1492 (H,wt=22): 1653 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(1647(a,1),225(a,1,2))]. given #1493 (H,wt=22): 1657 T((1 / x) \ (y / x),z) != (1 / x) \ u | T(y,z) / x = u. [para(1652(a,2),46(a,1))]. given #1494 (H,wt=22): 1663 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(1654(a,2),43(a,1))]. given #1495 (H,wt=23): 1665 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(1656(a,1),88(a,1,1)),flip(a)]. given #1496 (H,wt=23): 1666 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(12(a,1),1648(a,1,1,1)),flip(a)]. given #1497 (H,wt=24): 1662 T(x,y) / T(x,z) != T(x,y) * u | T(1 / T(x,z),T(x,y)) = u. [para(1659(a,1),213(a,2)),flip(a)]. given #1498 (H,wt=25): 1651 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(1646(a,1),1580(a,1,2)),flip(a)]. given #1499 (H,wt=17): 1668 (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). [hyper(116,a,1518,a(flip),b,1651,a),flip(a)]. given #1500 (H,wt=26): 834 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(170(a,1),568(a,1,1,1))]. given #1501 (H,wt=26): 868 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(62,a,409,a,b,779,a)]. given #1502 (H,wt=23): 1669 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(799(a,1),868(a,1,1))]. given #1503 (H,wt=26): 873 T(x,y) * (x * y) != T(x,y) * z | T(T(x,x * y) * y,T(x,y)) = z. [para(820(a,1),213(a,2)),flip(a)]. given #1504 (H,wt=26): 961 (x * (T(x,y) \ z)) * u != x * z | T(T(x,y),x * (T(x,y) \ z)) = u. [para(937(a,1),213(a,2))]. given #1505 (H,wt=26): 995 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(232(a,1),992(a,1,1,1,1))]. given #1506 (H,wt=25): 1671 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(232(a,1),995(a,1,2))]. given #1507 (H,wt=18): 1672 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(516(a,1),1671(a,1,1))]. given #1508 (H,wt=22): 1673 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1672(a,1),23(a,1,1)),flip(a)]. given #1509 (H,wt=18): 1674 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(872(a,1),1673(a,1,1))]. given #1510 (H,wt=22): 1675 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(12(a,1),1674(a,1,1)),flip(a)]. given #1511 (H,wt=19): 1676 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(489(a,1),1675(a,2,2))]. given #1512 (H,wt=15): 1677 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(12(a,1),1676(a,1,1))]. given #1513 (H,wt=13): 1678 T(x,x * (y \ 1)) = T(x,y \ x). [para(110(a,1),1677(a,1,2)),flip(a)]. given #1514 (H,wt=13): 1679 T(x,(1 / y) \ x) = T(x,x * y). [para(77(a,1),1678(a,1,2,2)),flip(a)]. given #1515 (H,wt=26): 1010 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(96(a,1),736(a,1,2,1))]. given #1516 (H,wt=26): 1011 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(256(a,1),736(a,1,2,1))]. given #1517 (H,wt=26): 1110 x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). [para(859(a,1),905(a,1,2)),flip(a)]. given #1518 (H,wt=21): 1680 (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. [hyper(62,a,1510,a(flip),b,1110,a),flip(a)]. given #1519 (H,wt=26): 1131 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(115,a,1124,a(flip),b,86,a)]. given #1520 (H,wt=26): 1211 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(973(a,2),1029(a,1,2,1,1)),flip(a)]. given #1521 (H,wt=26): 1264 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(115,a,1256,a(flip),b,86,a)]. given #1522 (H,wt=26): 1282 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1276(a,1),213(a,2)),flip(a)]. given #1523 (H,wt=26): 1283 L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. [para(1276(a,1),291(a,1,2))]. given #1524 (H,wt=26): 1295 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1292(a,1),947(a,1,2,1)),flip(a)]. given #1525 (H,wt=21): 1681 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1292(a,1),1295(a,1,1)),flip(a)]. given #1526 (H,wt=26): 1298 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(940(a,1),1297(a,1,1,2,1))]. given #1527 (H,wt=25): 1682 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(494(a,1),1298(a,2,2))]. given #1528 (H,wt=23): 1683 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(7(a,1),1682(a,2,2,1))]. given #1529 (H,wt=26): 1406 T(R(x / y,y,z),u) * (y * z) = y * (z * T(z \ (y \ (x * z)),u)). [hyper(273,a,809,a(flip),b,624,a),flip(a)]. given #1530 (H,wt=26): 1421 T(x,y) * z != (x * y) * L(x,u,w) | T(y * L(x,u,w),T(x,y)) = z. [para(1414(a,1),213(a,2))]. given #1531 (H,wt=26): 1494 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(596(a,1),1490(a,2,1))]. given #1532 (H,wt=26): 1498 ((x \ y) * y) / (x \ y) != T(x \ y,y) * z | T(x,T(x \ y,y)) = z. [para(1467(a,2),213(a,2)),flip(a)]. given #1533 (H,wt=26): 1565 K(x \ (x / T(y,z)),x) != u * w | u \ T(y * T(y \ 1,x),z) = w. [para(1528(a,2),502(a,1))]. given #1534 (H,wt=26): 1642 (x * y) / R(x,z,u) != T(x,y) * w | T(y / R(x,z,u),T(x,y)) = w. [para(1640(a,1),213(a,2)),flip(a)]. given #1535 (H,wt=26): 1645 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(108(a,1),1643(a,1,1,2))]. given #1536 (H,wt=25): 1684 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(226(a,1),1645(a,1,1))]. given #1537 (H,wt=27): 461 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(14(a,2),96(a,1,1)),flip(a)]. given #1538 (H,wt=27): 640 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(94(a,1),97(a,1,2,2)),flip(a)]. given #1539 (H,wt=27): 709 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(602(a,1),294(a,1,1))]. given #1540 (H,wt=27): 750 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(260(a,1),478(a,2,2))]. given #1541 (H,wt=27): 812 (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). [para(357(a,2),452(a,1,2))]. given #1542 (H,wt=25): 1685 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [para(108(a,1),812(a,1,2,1,1)),flip(a)]. given #1543 (H,wt=27): 832 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(357(a,1),563(a,1,1))]. given #1544 (H,wt=27): 862 T(x,((x \ y) \ y) \ z) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ z) \ z). [hyper(62,a,269,a(flip),b,419,a),flip(a)]. given #1545 (H,wt=27): 925 R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. [para(227(a,2),526(a,1,2))]. given #1546 (H,wt=27): 1073 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1063(a,1),629(a,2,1))]. given #1547 (H,wt=25): 1687 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1393(a,1),1073(a,1,1))]. given #1548 (H,wt=23): 1688 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(769,a,1687,a)]. given #1549 (H,wt=27): 1097 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(96(a,1),789(a,1,2,1,2))]. given #1550 (H,wt=27): 1098 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(256(a,1),789(a,1,2,1,2))]. given #1551 (H,wt=27): 1114 (x * y) * L((x \ y) / y,y,x) != z * u | z \ T(y,y / (x * y)) = u. [para(771(a,2),988(a,1,2))]. given #1552 (H,wt=27): 1147 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [hyper(62,a,1013,a,b,1144,a)]. given #1553 (H,wt=27): 1163 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(273,a,413,a(flip),b,1161,a),flip(a)]. given #1554 (H,wt=27): 1164 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(62,a,1013,a,b,1162,a)]. given #1555 (H,wt=27): 1203 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(793(a,1),437(a,1,2)),flip(a)]. given #1556 (H,wt=25): 1691 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(8(a,1),1203(a,2,2,1,2,2))]. given #1557 (H,wt=21): 1693 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1330(a,2),1691(a,1,2))]. given #1558 (H,wt=25): 1692 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(122,a,1691,a),flip(a)]. given #1559 (H,wt=25): 1694 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(22(a,2),1693(a,1,2,2,1,2)),flip(a)]. given #1560 (H,wt=27): 1230 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(974(a,1),1222(a,1,2,1,2))]. given #1561 (H,wt=25): 1695 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1468(a,1),1230(a,1,2,1))]. given #1562 (H,wt=25): 1696 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(131,a,1695,a)]. given #1563 (H,wt=23): 1697 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(62,a,1144,a(flip),b,1696,a),flip(a)]. given #1564 (H,wt=27): 1235 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(989(a,1),1224(a,2,1,2))]. given #1565 (H,wt=19): 1698 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(10(a,1),1235(a,2,1))]. given #1566 (H,wt=27): 1239 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(16(a,2),1228(a,2,2,1,2,2))]. given #1567 (H,wt=23): 1699 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(16(a,2),1239(a,1,2,1)),flip(a)]. given #1568 (H,wt=25): 1700 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1221(a,1),1699(a,1,2))]. given #1569 (H,wt=25): 1701 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(122,a,1700,a)]. given #1570 (H,wt=27): 1271 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1262(a,1),96(a,2,1))]. given #1571 (H,wt=27): 1341 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(62,a,895,a(flip),b,1339,a)]. given #1572 (H,wt=25): 1702 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1339(a,1),1341(a,1,2)),flip(a)]. given #1573 (H,wt=27): 1355 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(212,a,1325,a(flip),b,1089,a),flip(a)]. given #1574 (H,wt=25): 1704 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1355(a,1,1))]. given #1575 (H,wt=23): 1705 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1704(a,1,2,1,1))]. given #1576 (H,wt=27): 1374 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1368(a,1),96(a,2,1))]. given #1577 (H,wt=27): 1399 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(9(a,1),1397(a,1,2,2,1,2))]. given #1578 (H,wt=25): 1707 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1358(a,1),1399(a,1,2)),flip(a)]. given #1579 (H,wt=27): 1401 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(62,a,806,a(flip),b,1338,a),flip(a)]. given #1580 (H,wt=25): 1709 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(806(a,1),1401(a,1,1))]. given #1581 (H,wt=24): 1711 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(351(a,1),1709(a,1,1,2,2)),flip(a)]. given #1582 (H,wt=19): 1712 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(351(a,1),1711(a,1,2,2)),flip(a)]. given #1583 (H,wt=25): 1710 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(116,a,142,a(flip),b,1709,a)]. given #1584 (H,wt=27): 1495 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(62,a,1445,a(flip),b,1493,a),flip(a)]. given #1585 (H,wt=27): 1522 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1383(a,1),1520(a,2,2,1))]. given #1586 (H,wt=23): 1713 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(595(a,1),1522(a,2,2))]. given #1587 (H,wt=19): 1714 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(595(a,1),1713(a,1,1,2))]. given #1588 (H,wt=18): 1715 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(193(a,1),1714(a,1,1,2))]. given #1589 (H,wt=17): 1716 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(193(a,1),1715(a,2,2))]. given #1590 (H,wt=11): 1718 T(x,x * (y / (x * y))) = x. [hyper(53,a,1716,a)]. given #1591 (H,wt=11): 1719 T(x,x * ((x \ y) / y)) = x. [para(10(a,1),1718(a,1,2,2,2))]. given #1592 (H,wt=15): 1720 T(x / y,(x / y) * (y / x)) = x / y. [para(12(a,1),1718(a,1,2,2,2))]. given #1593 (H,wt=17): 1722 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1720(a,1),218(a,1,1)),flip(a)]. given #1594 (H,wt=15): 1723 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(273,a,110,a(flip),b,1722,a),flip(a)]. given #1595 (H,wt=19): 1721 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1719(a,1),271(a,1,1)),flip(a)]. given #1596 (H,wt=22): 1717 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(62,a,1402,a,b,1716,a)]. given #1597 (H,wt=27): 1593 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(10(a,1),1424(a,1,2,2,1,2,2))]. given #1598 (H,wt=27): 1624 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(822(a,1),1581(a,1,1)),flip(a)]. given #1599 (H,wt=25): 1726 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(108(a,1),1624(a,1,2)),flip(a)]. given #1600 (H,wt=25): 1727 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(62,a,1516,a,b,1726,a)]. given #1601 (H,wt=17): 1728 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(79(a,1),1727(a,1,1))]. given #1602 (H,wt=17): 1729 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(9(a,1),1728(a,2,2,1,2)),flip(a)]. given #1603 (H,wt=17): 1730 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(9(a,1),1729(a,1,2,1)),flip(a)]. given #1604 (H,wt=19): 1733 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1730(a,1),108(a,1,2)),flip(a)]. given #1605 (H,wt=18): 1734 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(273,a,226,a(flip),b,1733,a),flip(a)]. given #1606 (H,wt=23): 1731 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(87(a,1),1729(a,1,2,1)),flip(a)]. given #1607 (H,wt=24): 1732 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1729(a,1),429(a,1,2))]. given #1608 (H,wt=27): 1667 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1661(a,1),1227(a,1,1,1))]. given #1609 (H,wt=27): 1689 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1347(a,1),1147(a,2,2,2))]. given #1610 (H,wt=21): 1735 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(273,a,223,a(flip),b,1689,a),flip(a)]. given #1611 (H,wt=19): 1737 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1735(a,1),1014(a,1,1)),flip(a)]. given #1612 (H,wt=17): 1738 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(62,a,1208,a(flip),b,1737,a)]. given #1613 (H,wt=18): 1739 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(388,a,1738,a)]. given #1614 (H,wt=21): 1740 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(9(a,1),1738(a,1,1,2))]. given #1615 (H,wt=17): 1743 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(9(a,1),1740(a,2,2))]. given #1616 (H,wt=14): 1744 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(388,a,1743,a)]. given #1617 (H,wt=12): 1747 L(x \ 1,x,x \ 1) = 1 / x. [para(7(a,1),1744(a,1,3,1))]. given #1618 (H,wt=13): 1752 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1747(a,1),354(a,1,2))]. given #1619 (H,wt=11): 1754 T(1 / (1 / x),x \ 1) = x. [hyper(1506,a,1752,a)]. given #1620 (H,wt=13): 1755 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(273,a,227,a,b,1752,a),flip(a)]. given #1621 (H,wt=13): 1758 T(1 / (1 / (1 / x)),x) = 1 / x. [para(77(a,1),1754(a,1,2))]. given #1622 (H,wt=13): 1761 T(x,x \ 1) / x = K(x,x \ 1). [para(1754(a,1),1559(a,1,1)),flip(a)]. given #1623 (H,wt=13): 1762 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(129,a,1755,a)]. given #1624 (H,wt=13): 1763 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(62,a,1505,a(flip),b,1755,a)]. given #1625 (H,wt=13): 1767 K(x,x \ 1) * x = T(x,x \ 1). [hyper(129,a,1761,a)]. given #1626 (H,wt=13): 1768 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(109(a,1),1761(a,1,1))]. given #1627 (H,wt=13): 1769 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(702,a,1762,a)]. given #1628 (H,wt=13): 1774 x * K(x \ 1,x) = 1 / (1 / x). [hyper(131,a,1763,a)]. given #1629 (H,wt=12): 1781 L(x,x \ 1,x) = 1 / (1 / x). [hyper(754,a,1774,a)]. given #1630 (H,wt=13): 1777 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(273,a,109,a(flip),b,1767,a),flip(a)]. given #1631 (H,wt=14): 1748 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(12(a,1),1744(a,1,3,1))]. given #1632 (H,wt=15): 1757 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1754(a,1),23(a,1,1)),flip(a)]. given #1633 (H,wt=11): 1790 T(x,1 / x) = T(x,x \ 1). [para(217(a,1),1757(a,1,1)),flip(a)]. given #1634 (H,wt=11): 1791 T(x,1 / x) = (x \ 1) \ 1. [hyper(273,a,109,a(flip),b,1790,a),flip(a)]. given #1635 (H,wt=12): 1792 R(x,1 / x,x) = T(x,x \ 1). [hyper(62,a,723,a,b,1790,a)]. given #1636 (H,wt=13): 1795 T(x,x \ 1) / x = K(x,1 / x). [para(1790(a,1),727(a,1,1))]. given #1637 (H,wt=11): 1802 K(x,1 / x) = K(x,x \ 1). [hyper(62,a,1761,a(flip),b,1795,a),flip(a)]. given #1638 (H,wt=11): 1804 K(x,x \ 1) = x * (1 / x). [hyper(349,a,1802,a),flip(a)]. given #1639 (H,wt=11): 1806 x \ K(x,x \ 1) = 1 / x. [hyper(115,a,1802,a(flip),b,229,a(flip))]. given #1640 (H,wt=13): 1798 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(74(a,1),1791(a,1,2))]. given #1641 (H,wt=13): 1799 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1791(a,1),727(a,1,1))]. given #1642 (H,wt=13): 1808 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1802(a,1),402(a,1,1))]. given #1643 (H,wt=13): 1810 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1802(a,1),784(a,1,2))]. given #1644 (H,wt=13): 1812 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(62,a,401,a,b,1804,a)]. given #1645 (H,wt=13): 1824 T(x,x \ 1) \ 1 = T(x \ 1,x). [para(109(a,2),1798(a,2,1)),flip(a)]. given #1646 (H,wt=13): 1825 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(62,a,1499,a(flip),b,1799,a)]. given #1647 (H,wt=13): 1829 (1 / x) / K(x,1 / x) = x \ 1. [hyper(176,a,1825,a)]. given #1648 (H,wt=12): 1831 R(1 / x,x,1 / x) = x \ 1. [hyper(619,a,1829,a)]. given #1649 (H,wt=13): 1830 (x \ 1) * K(x,1 / x) = 1 / x. [hyper(131,a,1825,a)]. given #1650 (H,wt=13): 1833 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1802(a,1),1830(a,1,2))]. given #1651 (H,wt=13): 1834 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(62,a,1541,a,b,1833,a)]. given #1652 (H,wt=14): 1809 K(x,x \ 1) != y | x * (1 / x) = y. [para(1802(a,1),349(a,1))]. given #1653 (H,wt=14): 1813 K(x,x \ 1) != x * y | 1 / x = y. [para(1804(a,2),42(a,1))]. given #1654 (H,wt=14): 1815 K(x,x \ 1) != y | K(x,1 / x) = y. [para(1804(a,2),433(a,1))]. given #1655 (H,wt=14): 1821 x * (1 / x) != y | K(x,x \ 1) = y. [para(1806(a,1),225(a,1,2))]. given #1656 (H,wt=14): 1836 K(x,1 / x) != y | K(x,x \ 1) = y. [para(229(a,2),1821(a,1))]. given #1657 (H,wt=15): 1765 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1758(a,1),108(a,1,2)),flip(a)]. given #1658 (H,wt=13): 1838 x / (1 / (1 / x)) = x * (1 / x). [hyper(62,a,1614,a(flip),b,1765,a)]. given #1659 (H,wt=12): 1839 L(x,1 / x,x) = 1 / (1 / x). [hyper(555,a,1838,a)]. given #1660 (H,wt=12): 1842 T(L(x,1 / x,x),x \ 1) = x. [para(1839(a,2),1754(a,1,1))]. given #1661 (H,wt=12): 1843 L(T(x,x \ 1),1 / x,x) = x. [hyper(62,a,25,a,b,1842,a)]. given #1662 (H,wt=13): 1840 K(x,1 / x) * (1 / (1 / x)) = x. [para(1839(a,1),574(a,1,2))]. given #1663 (H,wt=13): 1844 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1802(a,1),1840(a,1,1))]. given #1664 (H,wt=13): 1845 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(122,a,1844,a)]. given #1665 (H,wt=15): 1805 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(62,a,622,a,b,1802,a)]. given #1666 (H,wt=15): 1807 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(74(a,1),1802(a,1,2)),flip(a)]. given #1667 (H,wt=15): 1837 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [hyper(273,a,1804,a,b,1765,a),flip(a)]. given #1668 (H,wt=16): 1750 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1747(a,1),25(a,2,1))]. given #1669 (H,wt=16): 1756 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1752(a,2),319(a,1))]. given #1670 (H,wt=16): 1778 T(x,x \ 1) / x != y | K(x,x \ 1) = y. [para(1767(a,1),280(a,1,1))]. given #1671 (H,wt=16): 1782 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(1774(a,1),42(a,1))]. given #1672 (H,wt=16): 1783 x \ (1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1774(a,1),288(a,1,2))]. given #1673 (H,wt=16): 1786 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(1781(a,1),753(a,1))]. given #1674 (H,wt=16): 1788 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1777(a,1),280(a,1,1))]. given #1675 (H,wt=17): 1745 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(176,a,1743,a)]. given #1676 (H,wt=17): 1746 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(131,a,1743,a)]. given #1677 (H,wt=17): 1789 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1748(a,1),354(a,1,2))]. given #1678 (H,wt=17): 1801 T(T(x,x \ 1),y) / x = T(x,y) * (1 / x). [para(1792(a,1),519(a,1,1,1))]. given #1679 (H,wt=17): 1803 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(592(a,1),1795(a,1,1)),flip(a)]. given #1680 (H,wt=15): 1855 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(273,a,1755,a(flip),b,1803,a),flip(a)]. given #1681 (H,wt=15): 1856 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1836,a,1855,a)]. given #1682 (H,wt=11): 1857 K(1 / x,x) = K(x \ 1,x). [para(77(a,1),1856(a,1,2))]. given #1683 (H,wt=13): 1858 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(62,a,1808,a,b,1857,a)]. given #1684 (H,wt=13): 1860 x * K(1 / x,x) = 1 / (1 / x). [para(1857(a,2),1774(a,1,2))]. given #1685 (H,wt=15): 1859 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(74(a,1),1857(a,1,1)),flip(a)]. given #1686 (H,wt=17): 1832 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1831(a,1),366(a,1,1)),flip(a)]. given #1687 (H,wt=18): 1751 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1747(a,1),30(a,1,1)),flip(a)]. given #1688 (H,wt=18): 1759 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1754(a,1),134(a,1,1)),flip(a)]. given #1689 (H,wt=18): 1766 x * (1 / x) != y | (1 / (1 / (1 / x))) * x = y. [para(1758(a,1),252(a,1,2))]. given #1690 (H,wt=18): 1785 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1781(a,1),29(a,1,1)),flip(a)]. given #1691 (H,wt=18): 1794 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1790(a,1),645(a,1,1))]. given #1692 (H,wt=18): 1796 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1790(a,1),726(a,2,1))]. given #1693 (H,wt=18): 1822 x * (1 / x) != y * z | y \ K(x,x \ 1) = z. [para(1806(a,1),378(a,1,2))]. given #1694 (H,wt=18): 1849 (1 / (1 / (1 / x))) * x != y | x * (1 / x) = y. [para(1837(a,2),1809(a,1))]. given #1695 (H,wt=18): 1852 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(192(a,2),1746(a,1,1,1)),flip(a)]. given #1696 (H,wt=18): 1865 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(229(a,2),1794(a,2,2))]. given #1697 (H,wt=9): 1869 T(x,K(x,1 / x)) = x. [hyper(62,a,1843,a(flip),b,1865,a),flip(a)]. given #1698 (H,wt=18): 1867 K(x,1 / x) != y * z | y \ K(x,x \ 1) = z. [para(229(a,2),1822(a,1))]. given #1699 (H,wt=19): 1749 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(1744(a,1),359(a,1,1)),flip(a)]. given #1700 (H,wt=19): 1793 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1790(a,1),422(a,1,1,2))]. given #1701 (H,wt=19): 1800 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1791(a,1),1092(a,1,1,1))]. given #1702 (H,wt=19): 1811 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [para(1802(a,1),958(a,1,2))]. given #1703 (H,wt=19): 1820 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1804(a,2),1712(a,1,1,2))]. given #1704 (H,wt=19): 1868 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(571,a,1852,a)]. given #1705 (H,wt=19): 1870 T(x,y) * K(x,1 / x) = K(x,1 / x) * T(x,y). [para(1869(a,1),209(a,1,2,1)),flip(a)]. given #1706 (H,wt=19): 1871 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(428,a,1793,a),flip(a)]. given #1707 (H,wt=19): 1874 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1804(a,2),1820(a,2,2))]. given #1708 (H,wt=19): 1875 K(x,1 / x) * T(x,y) = x * (T(x,y) * (1 / x)). [hyper(62,a,945,a(flip),b,1870,a),flip(a)]. given #1709 (H,wt=19): 1877 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(122,a,1874,a)]. given #1710 (H,wt=19): 1878 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(116,a,142,a(flip),b,1874,a)]. given #1711 (H,wt=19): 1879 K(x,x \ 1) * T(x,y) = x * (T(x,y) * (1 / x)). [para(1802(a,1),1875(a,1,1))]. given #1712 (H,wt=20): 1776 L(K(x \ 1,x),x,y) = (y * x) \ (y * (1 / (1 / x))). [para(1763(a,1),96(a,1,1))]. given #1713 (H,wt=20): 1797 T(x,y) \ T(T(x,x \ 1),y) = a(T(x,y),1 / x,x). [para(1790(a,1),730(a,1,2,1))]. given #1714 (H,wt=20): 1814 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1804(a,2),104(a,1,2))]. given #1715 (H,wt=20): 1880 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1877(a,1),1410(a,1,1)),flip(a)]. given #1716 (H,wt=20): 1883 T(x,y) \ T(T(x,y),x \ 1) = a(T(x,y),1 / x,x). [para(23(a,1),1797(a,1,2))]. given #1717 (H,wt=21): 1817 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1804(a,2),1124(a,1,2))]. given #1718 (H,wt=21): 1818 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1804(a,2),1129(a,1,2))]. given #1719 (H,wt=21): 1873 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1800(a,1),110(a,1,1))]. given #1720 (H,wt=21): 1876 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(199(a,1),1871(a,1,1)),flip(a)]. given #1721 (H,wt=15): 1886 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(199(a,1),1876(a,1,1)),flip(a)]. given #1722 (H,wt=19): 1887 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1886(a,1),1660(a,1,1))]. given #1723 (H,wt=21): 1881 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1878(a,1),110(a,1,1))]. given #1724 (H,wt=22): 1741 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(9(a,1),1739(a,1,3))]. given #1725 (H,wt=17): 1889 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(62,a,192,a(flip),b,1741,a)]. given #1726 (H,wt=22): 1753 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1747(a,1),1190(a,1,1,2)),flip(a)]. given #1727 (H,wt=22): 1828 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1824(a,1),354(a,1,2,1))]. given #1728 (H,wt=22): 1847 (K(x,x \ 1) * y) / (x * y) = R(1 / (1 / (1 / x)),x,y). [para(1837(a,1),20(a,2,1,1)),flip(a)]. given #1729 (H,wt=22): 1890 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1804(a,2),1753(a,2,1))]. given #1730 (H,wt=23): 1784 (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. [para(1774(a,1),453(a,1,2,2))]. given #1731 (H,wt=23): 1841 (x * (1 / x)) * T(1 / (1 / x),y) = x * ((1 / x) * T(x,y)). [para(1839(a,1),447(a,1,2,1))]. given #1732 (H,wt=23): 1850 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1750(a,1),454(a,1,2))]. given #1733 (H,wt=23): 1866 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1796(a,1),644(a,1,2))]. given #1734 (H,wt=23): 1872 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(77(a,1),1800(a,1,1,1,1)),flip(a)]. given #1735 (H,wt=23): 1888 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1887(a,1),1438(a,1,1,1))]. given #1736 (H,wt=23): 1891 K(x,1 / x) * T(1 / (1 / x),y) = x * ((1 / x) * T(x,y)). [para(229(a,2),1841(a,1,1))]. given #1737 (H,wt=21): 1894 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1439(a,1),1891(a,2,2))]. given #1738 (H,wt=21): 1895 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1802(a,1),1894(a,1,1))]. given #1739 (H,wt=23): 1893 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(866,a,1888,a)]. given #1740 (H,wt=21): 1897 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(940(a,1),1893(a,1,2,1))]. given #1741 (H,wt=21): 1898 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1893(a,1),1314(a,1,2))]. given #1742 (H,wt=21): 1899 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1897(a,1),1683(a,1,1))]. given #1743 (H,wt=17): 1900 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(330,a,1899,a)]. given #1744 (H,wt=19): 1902 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(62,a,1898,a,b,1900,a)]. given #1745 (H,wt=21): 1903 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1897(a,2),1902(a,1,2))]. given #1746 (H,wt=23): 1896 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1845(a,2),1895(a,1,2,1))]. given #1747 (H,wt=24): 1742 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1739(a,1),1326(a,1,2)),flip(a)]. given #1748 (H,wt=24): 1819 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1804(a,2),1410(a,1,1,2,1))]. given #1749 (H,wt=19): 1906 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [hyper(273,a,671,a(flip),b,1819,a),flip(a)]. given #1750 (H,wt=24): 1823 T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). [para(1806(a,1),1218(a,1,1,1)),flip(a)]. given #1751 (H,wt=19): 1907 T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). [hyper(273,a,825,a(flip),b,1823,a),flip(a)]. given #1752 (H,wt=24): 1862 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1832(a,1),167(a,1,1))]. given #1753 (H,wt=24): 1864 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1785(a,1),1684(a,1,1))]. given #1754 (H,wt=24): 1882 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1878(a,1),383(a,1,1))]. given #1755 (H,wt=24): 1885 L(x,y,z) * K(x,x \ 1) != x * u | L(x,y,z) * (1 / x) = u. [para(1817(a,2),42(a,1))]. given #1756 (H,wt=24): 1905 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(273,a,1804,a,b,1742,a),flip(a)]. given #1757 (H,wt=24): 1909 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(273,a,1804,a,b,1862,a),flip(a)]. given #1758 (H,wt=24): 1910 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(131,a,1905,a),flip(a)]. given #1759 (H,wt=25): 1760 (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1754(a,1),1012(a,1,1,1))]. given #1760 (H,wt=25): 1780 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1769(a,1),210(a,1,2,1)),flip(a)]. given #1761 (H,wt=25): 1848 (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. [para(1837(a,1),482(a,1,1,1))]. given #1762 (H,wt=25): 1853 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(1445(a,2),1789(a,1,1))]. given #1763 (H,wt=21): 1912 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(273,a,1597,a(flip),b,1853,a),flip(a)]. given #1764 (H,wt=21): 1913 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(1496,a,1912,a)]. given #1765 (H,wt=21): 1914 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1913(a,1),1495(a,1,1))]. given #1766 (H,wt=24): 1915 x \ (x / T(x,y)) != z * (1 / T(x,y)) | T(K(x \ 1,x),y) = z. [para(1914(a,1),43(a,1))]. given #1767 (H,wt=25): 1863 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1751(a,1),454(a,1,2))]. given #1768 (H,wt=25): 1908 T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). [para(1807(a,1),1907(a,1,1,2,1))]. given #1769 (H,wt=25): 1911 K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1804(a,2),1760(a,1,1))]. given #1770 (H,wt=25): 1916 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(62,a,1780,a,b,1863,a)]. given #1771 (H,wt=26): 1770 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1762(a,1),94(a,1,1))]. given #1772 (H,wt=23): 1917 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(923,a,1770,a(flip))]. given #1773 (H,wt=26): 1771 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1762(a,1),96(a,2,1))]. given #1774 (H,wt=26): 1772 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1762(a,1),104(a,1,2))]. given #1775 (H,wt=27): 1690 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(122,a,1203,a)]. given #1776 (H,wt=27): 1724 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1723(a,1),1164(a,2,1,2))]. given #1777 (H,wt=23): 1919 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(10(a,1),1724(a,2,1))]. given #1778 (H,wt=21): 1920 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(273,a,71,a(flip),b,1919,a),flip(a)]. given #1779 (H,wt=27): 1779 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1767(a,1),450(a,1,1))]. given #1780 (H,wt=27): 1861 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1859(a,1),1588(a,1,2,1))]. given #1781 (H,wt=23): 1922 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1859(a,1),1861(a,2,1))]. given #1782 (H,wt=23): 1923 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(122,a,1922,a)]. given #1783 (H,wt=26): 1924 (x \ 1) \ (K(x,x \ 1) * y) != K(x,x \ 1) * z | (x \ 1) \ y = z. [para(1922(a,1),121(a,1,2))]. given #1784 (H,wt=26): 1925 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. [para(1923(a,1),225(a,1,2))]. given #1785 (H,wt=27): 1904 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1896(a,1),1105(a,1,1))]. given #1786 (H,wt=25): 1926 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1858(a,1),1904(a,1,2))]. given #1787 (H,wt=23): 1927 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1858(a,1),1926(a,2,1,2))]. given #1788 (H,wt=21): 1928 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1774(a,1),1927(a,2,1))]. given #1789 (H,wt=24): 1929 T(1 / (1 / x),y) != z * K(x \ 1,x) | x * (T(x,y) / x) = z. [para(1928(a,1),43(a,1))]. given #1790 (H,wt=27): 1918 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(10(a,1),1690(a,1,2,2,1,2,2)),flip(a)]. given #1791 (H,wt=28): 775 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(18(a,2),595(a,1,1,2,1))]. given #1792 (H,wt=25): 1930 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(448(a,1),775(a,1,1)),flip(a)]. given #1793 (H,wt=22): 1931 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(130,a,1930,a)]. given #1794 (H,wt=24): 1932 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(108(a,1),1931(a,1,1,1,1,2))]. given #1795 (H,wt=22): 1933 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(211(a,1),1932(a,2,2))]. given #1796 (H,wt=28): 913 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(520(a,1),255(a,1,2))]. given #1797 (H,wt=23): 1934 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(913,a,1339,a)]. given #1798 (H,wt=22): 1938 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1747(a,1),1934(a,2,1,2))]. given #1799 (H,wt=19): 1939 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1890(a,1),1938(a,1,2))]. given #1800 (H,wt=19): 1941 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1804(a,2),1939(a,2,1))]. given #1801 (H,wt=19): 1942 K(x,x \ 1) * (x \ T(x,y)) = T(x,y) * (1 / x). [hyper(33,a,1879,a(flip),b,1941,a),flip(a)]. given #1802 (H,wt=19): 1943 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(9(a,1),1941(a,1,2,2)),flip(a)]. given #1803 (H,wt=20): 1940 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(33,a,94,a(flip),b,1939,a),flip(a)]. given #1804 (H,wt=21): 1944 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(22(a,2),1941(a,1,2,2))]. given #1805 (H,wt=22): 1945 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1941(a,1),42(a,1))]. given #1806 (H,wt=22): 1947 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1943(a,1),42(a,1)),flip(a)]. given #1807 (H,wt=23): 1937 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(116,a,1306,a(flip),b,1934,a(flip)),flip(a)]. given #1808 (H,wt=23): 1948 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1940(a,1),42(a,1)),flip(a)]. given #1809 (H,wt=25): 1935 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(913,a,1338,a)]. given #1810 (H,wt=23): 1950 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(213,a,1935,a),flip(a)]. given #1811 (H,wt=21): 1951 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(22(a,2),1950(a,1,2,1,2)),flip(a)]. given #1812 (H,wt=21): 1952 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(115,a,1951,a,b,xx)]. given #1813 (H,wt=21): 1953 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(9(a,1),1952(a,1,2,1,2,1)),flip(a)]. given #1814 (H,wt=25): 1936 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [hyper(913,a,1324,a(flip)),flip(a)]. given #1815 (H,wt=25): 1954 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(116,a,1306,a(flip),b,1936,a),flip(a)]. given #1816 (H,wt=23): 1955 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1469(a,2),1954(a,1,2,1)),flip(a)]. given #1817 (H,wt=19): 1956 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(578(a,1),1955(a,1,1)),flip(a)]. given #1818 (H,wt=21): 1957 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(11(a,1),1956(a,1,1)),flip(a)]. given #1819 (H,wt=23): 1958 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1957(a,1),110(a,1,1))]. given #1820 (H,wt=23): 1959 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(273,a,1125,a(flip),b,1958,a),flip(a)]. given #1821 (H,wt=21): 1960 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(22(a,2),1959(a,2,2))]. given #1822 (H,wt=27): 1946 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1807(a,1),1941(a,1,2,1))]. given #1823 (H,wt=23): 1961 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1807(a,1),1946(a,2,1))]. given #1824 (H,wt=23): 1962 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(122,a,1961,a)]. given #1825 (H,wt=26): 1963 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(62,a,1771,a,b,1962,a)]. given #1826 (H,wt=28): 1038 ((x / (y * x)) * y) * z != x / (y * x) | T(1 / y,(x / (y * x)) * y) = z. [para(1035(a,1),213(a,2))]. given #1827 (H,wt=28): 1112 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(12(a,1),879(a,1,2,1))]. given #1828 (H,wt=28): 1118 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(96(a,1),737(a,1,2,1))]. given #1829 (H,wt=28): 1209 ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. [para(1206(a,1),213(a,2))]. given #1830 (H,wt=28): 1253 (x * ((x \ y) / y)) * z != x | T(1 / ((x \ y) / y),x * ((x \ y) / y)) = z. [para(1251(a,1),213(a,2))]. given #1831 (H,wt=28): 1344 (x * y) * L((x * y) \ y,z,u) != y * w | T(x * L(x \ 1,z,u),y) = w. [para(1339(a,2),213(a,2)),flip(a)]. given #1832 (H,wt=28): 1396 x * R(x \ T(y,x),z,u) != w * v5 | T(x * R(x \ y,z,u),x) / v5 = w. [para(1382(a,1),284(a,1,2))]. given #1833 (H,wt=28): 1398 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(1358(a,2),213(a,2)),flip(a)]. given #1834 (H,wt=28): 1422 (x * R(y,z,u)) * T(y,x) != w * (x * R(y,z,u)) | R(y,x,R(y,z,u)) = w. [para(1417(a,2),478(a,1))]. given #1835 (H,wt=28): 1455 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(1439(a,1),653(a,1,2))]. given #1836 (H,wt=22): 1964 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(62,a,1535,a(flip),b,1455,a)]. given #1837 (H,wt=24): 1966 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1964(a,1),629(a,1,1))]. given #1838 (H,wt=22): 1967 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(769,a,1966,a),flip(a)]. given #1839 (H,wt=20): 1968 L(x \ 1,T(x,y),1 / x) = (x \ T(x,y)) / T(x,y). [para(880(a,1),1967(a,1,1)),flip(a)]. given #1840 (H,wt=28): 1472 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(354(a,1),1464(a,1,1)),flip(a)]. given #1841 (H,wt=25): 1969 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(273,a,447,a(flip),b,1472,a),flip(a)]. given #1842 (H,wt=13): 1970 T(x,x * (y * T(y \ 1,x))) = x. [para(1969(a,1),249(a,1,2))]. given #1843 (H,wt=9): 1973 T(x,x * K(y,x)) = x. [para(1150(a,2),1970(a,1,2,2))]. given #1844 (H,wt=13): 1974 T(x * K(y,x),x) = x * K(y,x). [hyper(53,a,1973,a)]. given #1845 (H,wt=15): 1972 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1144(a,1),1970(a,1,2,2))]. given #1846 (H,wt=19): 1975 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(989(a,1),1972(a,1,2,2,2,2))]. given #1847 (H,wt=11): 1976 T(x,x * (T(x,y) \ x)) = x. [para(10(a,1),1975(a,1,2,2,2))]. given #1848 (H,wt=15): 1977 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1976(a,1),23(a,1,1)),flip(a)]. given #1849 (H,wt=15): 1978 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(62,a,957,a(flip),b,1977,a)]. given #1850 (H,wt=15): 1979 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(176,a,1978,a)]. given #1851 (H,wt=13): 1982 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1460,a,1979,a)]. given #1852 (H,wt=15): 1983 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(62,a,1431,a(flip),b,1979,a)]. given #1853 (H,wt=18): 1980 (x * x) / T(x,y) != z | x * (T(x,y) \ x) = z. [para(1978(a,1),331(a,1,2)),flip(b)]. given #1854 (H,wt=21): 1985 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1982(a,1),417(a,1,1)),flip(a)]. given #1855 (H,wt=28): 1592 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1589(a,1),207(a,1,2))]. given #1856 (H,wt=20): 1986 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [hyper(291,a,1592,a),flip(a)]. given #1857 (H,wt=23): 1987 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1592(a,1),291(a,1))]. given #1858 (H,wt=28): 1622 x * (y * T(y \ (x \ z),u)) != y * w | T(x * T(x \ (z / y),u),y) = w. [para(1581(a,1),213(a,2)),flip(a)]. given #1859 (H,wt=28): 1623 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1581(a,1),291(a,1,2))]. given #1860 (H,wt=28): 1631 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(757(a,1),1629(a,1,1,1))]. given #1861 (H,wt=28): 1826 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1810(a,1),104(a,1,2))]. given #1862 (H,wt=28): 1827 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1810(a,1),105(a,2,2))]. given #1863 (H,wt=28): 1835 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1834(a,1),506(a,1,1))]. given #1864 (H,wt=28): 1846 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1844(a,1),94(a,1,1))]. given #1865 (H,wt=28): 1981 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1292(a,1),1978(a,1,1,2,1))]. given #1866 (H,wt=23): 1989 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(273,a,1292,a(flip),b,1981,a),flip(a)]. given #1867 (H,wt=28): 1988 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1916(a,1),1631(a,1,1))]. given #1868 (H,wt=28): 1990 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(62,a,1709,a(flip),b,1988,a)]. given #1869 (H,wt=28): 1992 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(227(a,2),1990(a,1,1))]. given #1870 (H,wt=29): 745 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. [para(270(a,2),453(a,1,1))]. given #1871 (H,wt=29): 751 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(701(a,1),478(a,2,2))]. given #1872 (H,wt=29): 813 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(358(a,2),452(a,1,2))]. given #1873 (H,wt=27): 1993 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(108(a,1),813(a,1,2,1,1)),flip(a)]. given #1874 (H,wt=23): 1994 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(212,a,1358,a(flip),b,1993,a),flip(a)]. given #1875 (H,wt=24): 1995 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(603,a,1994,a),flip(a)]. given #1876 (H,wt=28): 1997 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(880(a,1),1995(a,2,1,2))]. given #1877 (H,wt=25): 1998 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1536(a,1),1997(a,1,1,2)),flip(a)]. given #1878 (H,wt=15): 1999 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(34,a,1571,a(flip),b,1998,a),flip(a)]. given #1879 (H,wt=17): 2001 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1999(a,2),1620(a,1,2))]. given #1880 (H,wt=21): 2000 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1999(a,1),110(a,1,1))]. given #1881 (H,wt=15): 2002 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(62,a,1617,a(flip),b,2000,a),flip(a)]. given #1882 (H,wt=21): 2004 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(674(a,1),2002(a,1,1))]. given #1883 (H,wt=17): 2005 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(77(a,1),2004(a,1,2))]. given #1884 (H,wt=17): 2006 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [hyper(176,a,2005,a)]. given #1885 (H,wt=17): 2007 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1221(a,2),2005(a,1,1))]. given #1886 (H,wt=29): 921 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [hyper(62,a,492,a(flip),b,794,a),flip(a)]. given #1887 (H,wt=25): 2008 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(12(a,1),921(a,1,1,2,2)),flip(a)]. given #1888 (H,wt=25): 2009 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1804(a,2),2008(a,1,1,1))]. given #1889 (H,wt=29): 929 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(115,a,928,a(flip),b,315,a),flip(a)]. given #1890 (H,wt=29): 1076 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1066(a,1),874(a,1,2,1,2))]. given #1891 (H,wt=19): 2010 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(10(a,1),1076(a,1,2,1)),flip(a)]. given #1892 (H,wt=25): 2011 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(110(a,1),2010(a,1,1)),flip(a)]. given #1893 (H,wt=23): 2012 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(110(a,1),2011(a,1,2)),flip(a)]. given #1894 (H,wt=27): 2013 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(9(a,1),2012(a,1,1)),flip(a)]. given #1895 (H,wt=23): 2014 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(9(a,1),2013(a,1,2)),flip(a)]. given #1896 (H,wt=29): 1113 (x * y) * L(T(T(x,y) \ x,x),T(x,y),y) = y * L(x,T(x,y) \ x,T(x,y)). [para(967(a,1),452(a,2,2))]. given #1897 (H,wt=26): 2015 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(814(a,1),1113(a,1,2))]. given #1898 (H,wt=22): 2016 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(16(a,2),2015(a,1,2,1)),flip(a)]. given #1899 (H,wt=29): 1172 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(423(a,1),1171(a,1,2,1)),flip(a)]. given #1900 (H,wt=25): 2017 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(423(a,1),1172(a,1,1)),flip(a)]. given #1901 (H,wt=29): 1177 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1174(a,1),16(a,2,1)),flip(a)]. given #1902 (H,wt=29): 1194 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(22(a,2),1186(a,1,1))]. given #1903 (H,wt=27): 2018 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(22(a,2),1194(a,1,2,1,1)),flip(a)]. given #1904 (H,wt=27): 2019 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(809(a,1),2018(a,1,2))]. given #1905 (H,wt=25): 2020 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1623,a,2019,a),flip(a)]. given #1906 (H,wt=25): 2021 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(9(a,1),2020(a,1,2,1,2)),flip(a)]. given #1907 (H,wt=23): 2022 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(199(a,1),2021(a,1,1,2,1,2)),flip(a)]. given #1908 (H,wt=29): 1199 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(10(a,1),1198(a,1,1,2))]. given #1909 (H,wt=25): 2023 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(10(a,1),1199(a,1,2,2)),flip(a)]. given #1910 (H,wt=21): 2024 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(10(a,1),2023(a,1,3,2)),flip(a)]. given #1911 (H,wt=29): 1204 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(462(a,1),811(a,1,2,1))]. given #1912 (H,wt=23): 2027 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(212,a,1338,a(flip),b,1204,a(flip)),flip(a)]. given #1913 (H,wt=27): 2026 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(212,a,1324,a,b,1204,a(flip))]. given #1914 (H,wt=27): 2028 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(8(a,1),1204(a,1,2,1,2)),flip(a)]. given #1915 (H,wt=23): 2029 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(212,a,1339,a(flip),b,2028,a),flip(a)]. given #1916 (H,wt=24): 2031 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(192(a,1),2029(a,1,2)),flip(a)]. given #1917 (H,wt=26): 2030 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(2029(a,1),42(a,1))]. given #1918 (H,wt=28): 2033 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1439(a,1),2031(a,2,2,1))]. given #1919 (H,wt=29): 1265 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1256(a,1),294(a,1,1))]. given #1920 (H,wt=29): 1323 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(886(a,1),1322(a,1,2,1,2))]. given #1921 (H,wt=25): 2034 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(10(a,1),1323(a,1,2,1)),flip(a)]. given #1922 (H,wt=25): 2035 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(128,a,2034,a)]. given #1923 (H,wt=21): 2037 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(62,a,893,a(flip),b,2035,a),flip(a)]. given #1924 (H,wt=29): 1357 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(115,a,1325,a(flip),b,1089,a),flip(a)]. given #1925 (H,wt=29): 1561 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1057(a,2),1526(a,1,2))]. given #1926 (H,wt=23): 2039 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(877(a,1),1561(a,2,1))]. given #1927 (H,wt=29): 1570 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(109(a,1),1569(a,1,1,2,2)),flip(a)]. given #1928 (H,wt=29): 1706 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(9(a,1),1705(a,2,1,2,1))]. given #1929 (H,wt=29): 1725 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1721(a,1),1164(a,2,1,2))]. given #1930 (H,wt=21): 2041 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(197(a,1),1725(a,2,1))]. given #1931 (H,wt=19): 2042 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(273,a,71,a(flip),b,2041,a),flip(a)]. given #1932 (H,wt=23): 2044 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2042(a,1),1014(a,1,1)),flip(a)]. given #1933 (H,wt=17): 2045 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(62,a,1252,a(flip),b,2044,a)]. given #1934 (H,wt=21): 2046 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(77(a,1),2045(a,1,1,2,1))]. given #1935 (H,wt=17): 2047 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(77(a,1),2046(a,2,2,1))]. given #1936 (H,wt=15): 2050 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2047(a,1),1920(a,1,1))]. given #1937 (H,wt=17): 2048 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(131,a,2047,a)]. given #1938 (H,wt=17): 2051 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(11(a,1),2050(a,1,1,2))]. given #1939 (H,wt=13): 2053 K(1 / x,(y / (x * y)) * x) = 1. [para(11(a,1),2051(a,1,2,2))]. given #1940 (H,wt=15): 2054 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(55,a,2053,a)]. given #1941 (H,wt=14): 2055 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1299,a,2054,a)]. given #1942 (H,wt=14): 2056 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(10(a,1),2055(a,1,3,2))]. given #1943 (H,wt=15): 2057 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(193(a,2),2055(a,1,3))]. given #1944 (H,wt=17): 2058 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2055(a,1),355(a,1,2))]. given #1945 (H,wt=17): 2059 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2056(a,1),355(a,1,2))]. given #1946 (H,wt=18): 2061 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2058(a,1),1909(a,1,2))]. given #1947 (H,wt=18): 2062 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [hyper(131,a,2061,a),flip(a)]. given #1948 (H,wt=19): 2060 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2057(a,1),354(a,1,2))]. given #1949 (H,wt=14): 2064 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1373,a,2060,a)]. given #1950 (H,wt=13): 2065 T(1 / (1 / x),y / (x * y)) = x. [para(193(a,1),2064(a,1,2))]. given #1951 (H,wt=13): 2068 T(x,y / (x * y)) = T(x,x \ 1). [para(2065(a,1),1757(a,1,1)),flip(a)]. given #1952 (H,wt=13): 2069 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(273,a,109,a(flip),b,2068,a),flip(a)]. given #1953 (H,wt=13): 2070 T(x,(x \ y) / y) = T(x,x \ 1). [para(10(a,1),2068(a,1,2,2))]. given #1954 (H,wt=14): 2067 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(2064(a,1),1757(a,1,1)),flip(a)]. given #1955 (H,wt=15): 2066 T(1 / (1 / (x / y)),y / x) = x / y. [para(364(a,1),2064(a,1,2))]. given #1956 (H,wt=15): 2072 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(12(a,1),2069(a,1,2,2))]. given #1957 (H,wt=18): 2075 T(T(x,y),R(1 / x,x,z)) = T(T(x,x \ 1),y). [para(2067(a,1),23(a,1,1)),flip(a)]. given #1958 (H,wt=19): 2073 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [para(2070(a,1),108(a,1,2))]. given #1959 (H,wt=19): 2076 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [hyper(245,a,2066,a)]. given #1960 (H,wt=19): 2078 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(2072(a,1),108(a,1,2))]. given #1961 (H,wt=20): 2049 ((x / y) * (y / x)) * (1 / (y / x)) != z | x / y = z. [para(2047(a,1),225(a,1,2))]. given #1962 (H,wt=21): 2052 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(116,a,11,a(flip),b,2048,a),flip(a)]. given #1963 (H,wt=17): 2080 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(11(a,1),2052(a,1,1)),flip(a)]. given #1964 (H,wt=21): 2063 x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. [para(2061(a,1),127(a,1,2)),flip(a),flip(b)]. given #1965 (H,wt=21): 2079 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2072(a,1),418(a,1,1))]. given #1966 (H,wt=17): 2082 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(33,a,625,a(flip),b,2079,a(flip))]. given #1967 (H,wt=22): 2074 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(2070(a,1),252(a,1,2))]. given #1968 (H,wt=22): 2077 ((x / y) * (y / x)) / (x / y) != z | 1 / (1 / (y / x)) = z. [para(2066(a,1),333(a,1,1,2)),flip(b)]. given #1969 (H,wt=24): 2081 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2080(a,1),1494(a,1,1,2))]. given #1970 (H,wt=20): 2084 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(62,a,621,a(flip),b,2081,a),flip(a)]. given #1971 (H,wt=20): 2086 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(129,a,2084,a)]. given #1972 (H,wt=23): 2087 R(x \ 1,x,y) != z * (y / (x * y)) | K(y / (x * y),x) = z. [para(2086(a,1),43(a,1))]. given #1973 (H,wt=24): 2083 ((((x * y) / x) \ 1) \ 1) * x != x * z | T(y,x / (x * y)) = z. [para(2079(a,2),42(a,1))]. given #1974 (H,wt=25): 2071 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2068(a,1),1163(a,2,1))]. given #1975 (H,wt=29): 1773 K(x \ 1,x) * y != (x \ 1) * L(z,1 / x,K(x \ 1,x)) | (1 / x) * z = y. [para(1762(a,1),451(a,1,1)),flip(a)]. given #1976 (H,wt=29): 1851 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1745(a,1),1493(a,2,1,1,2)),flip(a)]. given #1977 (H,wt=17): 2089 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(9(a,1),1851(a,1,1,1))]. given #1978 (H,wt=17): 2091 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(128,a,2089,a)]. given #1979 (H,wt=19): 2090 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(212,a,2089,a,b,10,a)]. given #1980 (H,wt=22): 2092 T(x,(y * x) \ y) != x * z | T(K(x,(y * x) \ y),x) = z. [para(2089(a,1),213(a,2)),flip(a)]. given #1981 (H,wt=30): 746 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(83(a,1),453(a,1,2,2))]. given #1982 (H,wt=30): 869 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(105(a,2),779(a,1,1,1,2))]. given #1983 (H,wt=27): 2094 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(800,a,869,a),flip(a)]. given #1984 (H,wt=27): 2095 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(12(a,1),2094(a,1,2,1,2,2)),flip(a)]. given #1985 (H,wt=23): 2097 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(279,a,2095,a),flip(a)]. given #1986 (H,wt=17): 2099 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(987,a,2097,a),flip(a)]. given #1987 (H,wt=19): 2101 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(212,a,2099,a,b,10,a)]. given #1988 (H,wt=22): 2102 T(x,x / (x * y)) != y * z | T(x * ((x / y) / x),y) = z. [para(2099(a,1),213(a,2)),flip(a)]. given #1989 (H,wt=23): 2100 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(62,a,1098,a(flip),b,2097,a)]. given #1990 (H,wt=26): 2098 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2095(a,1),279(a,1))]. given #1991 (H,wt=20): 2104 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(982(a,1),2098(a,1))]. given #1992 (H,wt=26): 2105 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(1098(a,1),2098(a,1))]. given #1993 (H,wt=27): 2096 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(779(a,1),2094(a,2,1))]. given #1994 (H,wt=25): 2108 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(7(a,1),2096(a,1,2,1,2,2))]. given #1995 (H,wt=21): 2111 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(212,a,2108,a(flip),b,1694,a(flip))]. given #1996 (H,wt=17): 2115 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(10(a,1),2111(a,1,1,2,1)),flip(a)]. given #1997 (H,wt=21): 2116 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(62,a,1330,a(flip),b,2115,a)]. given #1998 (H,wt=19): 2117 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(940(a,1),2116(a,1,2,1))]. given #1999 (H,wt=19): 2118 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1804(a,2),2117(a,2,1))]. given #2000 (H,wt=17): 2119 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2118(a,1),1903(a,1,2))]. given #2001 (H,wt=23): 2110 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(62,a,1096,a(flip),b,2108,a),flip(a)]. given #2002 (H,wt=25): 2114 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(273,a,1330,a(flip),b,2111,a)]. given #2003 (H,wt=27): 2107 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(62,a,1098,a(flip),b,2096,a)]. given #2004 (H,wt=23): 2122 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(10(a,1),2107(a,1,2,2,1)),flip(a)]. given #2005 (H,wt=29): 2109 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(62,a,1097,a(flip),b,2108,a)]. given #2006 (H,wt=27): 2124 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2108(a,1),2109(a,1,2)),flip(a)]. given #2007 (H,wt=25): 2125 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1330(a,2),2124(a,1,1))]. given #2008 (H,wt=29): 2120 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1191(a,1),2110(a,1,1)),flip(a)]. given #2009 (H,wt=23): 2126 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1191(a,1),2120(a,1,2)),flip(a)]. given #2010 (H,wt=23): 2127 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(128,a,2126,a)]. given #2011 (H,wt=26): 2128 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2127(a,1),796(a,1,1))]. given #2012 (H,wt=23): 2129 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(62,a,259,a(flip),b,2128,a),flip(a)]. given #2013 (H,wt=27): 2130 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2129(a,1),629(a,1,1))]. given #2014 (H,wt=23): 2131 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(383,a,2130,a),flip(a)]. given #2015 (H,wt=19): 2132 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(273,a,16,a,b,2131,a)]. given #2016 (H,wt=15): 2133 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(16(a,2),2132(a,2,1,2)),flip(a)]. given #2017 (H,wt=11): 2134 T(1 / x,K(y,x)) = 1 / x. [hyper(239,a,2133,a)]. given #2018 (H,wt=9): 2137 K(1 / x,K(y,x)) = 1. [hyper(54,a,2134,a)]. given #2019 (H,wt=9): 2139 K(x,K(y,x \ 1)) = 1. [para(74(a,1),2137(a,1,1))]. given #2020 (H,wt=9): 2140 T(x,K(y,x \ 1)) = x. [hyper(55,a,2139,a)]. given #2021 (H,wt=13): 2141 T(T(x,y),K(z,x \ 1)) = T(x,y). [para(2140(a,1),23(a,1,1)),flip(a)]. given #2022 (H,wt=15): 2135 K(x,y) * (1 / y) = (1 / y) * K(x,y). [hyper(129,a,2133,a)]. given #2023 (H,wt=15): 2136 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(2133(a,1),81(a,1,1,1))]. given #2024 (H,wt=15): 2143 T(K(x,y \ 1),T(y,z)) = K(x,y \ 1). [hyper(53,a,2141,a)]. given #2025 (H,wt=15): 2144 T(T(x,y),z \ T(z,x \ 1)) = T(x,y). [para(1226(a,1),2141(a,1,2))]. given #2026 (H,wt=16): 2146 T(T(x,y),a(T(x,z),1 / x,x)) = T(x,y). [para(1883(a,1),2144(a,1,2))]. given #2027 (H,wt=21): 2142 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2140(a,1),210(a,1,2,1)),flip(a)]. given #2028 (H,wt=21): 2145 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2136(a,1),765(a,1,1,1))]. given #2029 (H,wt=14): 2149 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(291,a,2145,a)]. given #2030 (H,wt=11): 2151 T(K(x,y),y \ 1) = K(x,y). [para(360(a,1),2149(a,1,2))]. given #2031 (H,wt=11): 2152 T(x \ 1,K(y,x)) = x \ 1. [hyper(53,a,2151,a)]. given #2032 (H,wt=13): 2150 T(K(x,y),z / (y * z)) = K(x,y). [para(193(a,1),2149(a,1,2))]. given #2033 (H,wt=19): 2154 K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). [para(2150(a,1),108(a,1,2)),flip(a)]. given #2034 (H,wt=21): 2147 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(62,a,1817,a(flip),b,2142,a),flip(a)]. given #2035 (H,wt=21): 2156 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1945,a,2147,a)]. given #2036 (H,wt=22): 2155 (x / (y * x)) * K(z,y) != u | K(z,y) * (x / (y * x)) = u. [para(2150(a,1),252(a,1,2))]. given #2037 (H,wt=24): 2148 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2142(a,1),42(a,1)),flip(a)]. given #2038 (H,wt=30): 916 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(803(a,1),564(a,1,1))]. given #2039 (H,wt=22): 2158 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(62,a,832,a(flip),b,916,a),flip(a)]. given #2040 (H,wt=22): 2159 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2158(a,1),801(a,1,2))]. given #2041 (H,wt=30): 1246 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(407(a,1),1238(a,1,2,1,2))]. given #2042 (H,wt=30): 1340 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(1324(a,1),213(a,2)),flip(a)]. given #2043 (H,wt=30): 1360 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(1325(a,2),213(a,2)),flip(a)]. given #2044 (H,wt=30): 1473 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(386(a,1),1464(a,1,1)),flip(a)]. given #2045 (H,wt=25): 2160 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(273,a,447,a(flip),b,1473,a),flip(a)]. given #2046 (H,wt=23): 2161 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(1439(a,1),2160(a,2,2))]. given #2047 (H,wt=30): 1595 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(96(a,2),1424(a,1,2,2,1,2)),flip(a)]. given #2048 (H,wt=28): 2163 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(669(a,1),1595(a,1,1)),flip(a)]. given #2049 (H,wt=30): 1686 (x \ y) * ((((x \ y) \ y) \ z) \ z) != u * (x \ y) | T(x,((x \ y) \ y) \ z) = u. [para(862(a,1),43(a,1))]. given #2050 (H,wt=30): 1984 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1979(a,2),653(a,1,2))]. given #2051 (H,wt=28): 2164 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1467(a,1),1984(a,1,1))]. given #2052 (H,wt=27): 2165 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(967(a,1),2164(a,1,1))]. given #2053 (H,wt=27): 2166 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1979(a,1),2165(a,1,2))]. given #2054 (H,wt=27): 2167 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(62,a,25,a,b,2166,a)]. given #2055 (H,wt=19): 2168 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1976(a,1),2167(a,1,1))]. given #2056 (H,wt=20): 2169 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(62,a,967,a,b,2168,a)]. given #2057 (H,wt=18): 2171 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(62,a,1985,a(flip),b,2169,a),flip(a)]. given #2058 (H,wt=20): 2170 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2168(a,1),2016(a,1,2))]. given #2059 (H,wt=30): 2032 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(457(a,1),2029(a,2,1,2))]. given #2060 (H,wt=30): 2112 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(2108(a,2),213(a,2)),flip(a)]. given #2061 (H,wt=30): 2123 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(96(a,2),2122(a,2,2,2,1))]. given #2062 (H,wt=31): 1197 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(809(a,1),1189(a,1,1))]. given #2063 (H,wt=29): 2172 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(22(a,2),1197(a,1,1,2,2,1,2)),flip(a)]. given #2064 (H,wt=31): 1515 (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). [para(309(a,1),1512(a,1,1,2,1)),flip(a)]. given #2065 (H,wt=27): 2173 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). [para(2151(a,1),1515(a,1,2,1,2))]. given #2066 (H,wt=19): 2174 T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). [para(309(a,1),2173(a,1,2,1)),flip(a)]. given #2067 (H,wt=15): 2175 T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. [hyper(53,a,2174,a)]. given #2068 (H,wt=19): 2176 T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. [hyper(273,a,77,a(flip),b,2175,a),flip(a)]. given #2069 (H,wt=15): 2177 T(x,((1 / x) \ 1) * T(1 / x,y)) = x. [para(77(a,1),2176(a,1,1))]. given #2070 (H,wt=11): 2178 T(x,x * T(1 / x,y)) = x. [para(77(a,1),2177(a,1,2,1))]. given #2071 (H,wt=17): 2179 T(x * T(1 / x,y),x) = x * T(1 / x,y). [hyper(53,a,2178,a)]. given #2072 (H,wt=21): 2181 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(62,a,1644,a,b,2179,a)]. given #2073 (H,wt=31): 1558 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(53,a,1458,a)]. given #2074 (H,wt=31): 1594 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(309(a,1),1424(a,2,1,2,1))]. given #2075 (H,wt=31): 1664 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(273,a,1424,a(flip),b,1655,a),flip(a)]. given #2076 (H,wt=19): 2183 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(70(a,1),1664(a,1,1)),flip(a)]. given #2077 (H,wt=17): 2184 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(108(a,1),2183(a,1,1))]. given #2078 (H,wt=17): 2186 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(9(a,1),2184(a,1,1,1)),flip(a)]. given #2079 (H,wt=20): 2187 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2184(a,1),43(a,1))]. given #2080 (H,wt=20): 2188 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2186(a,2),43(a,1))]. given #2081 (H,wt=31): 1703 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1015(a,1),1702(a,1,1)),flip(a)]. given #2082 (H,wt=25): 2189 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1015(a,1),1703(a,1,2,1)),flip(a)]. given #2083 (H,wt=23): 2190 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(115,a,69,a(flip),b,2189,a),flip(a)]. given #2084 (H,wt=26): 2191 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2190(a,1),42(a,1))]. given #2085 (H,wt=31): 1708 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1070(a,1),1707(a,1,1)),flip(a)]. given #2086 (H,wt=25): 2192 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1070(a,1),1708(a,1,2,1)),flip(a)]. given #2087 (H,wt=23): 2193 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(115,a,69,a(flip),b,2192,a),flip(a)]. given #2088 (H,wt=31): 1787 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(1781(a,1),1264(a,1,1,2,2))]. given #2089 (H,wt=30): 2194 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(1781(a,1),1787(a,1,2,2))]. given #2090 (H,wt=31): 1816 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1804(a,2),817(a,2,2))]. given #2091 (H,wt=31): 1971 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1969(a,1),1169(a,1,1)),flip(a)]. given #2092 (H,wt=25): 2196 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1969(a,1),1971(a,1,2)),flip(a)]. given #2093 (H,wt=21): 2197 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(273,a,9,a(flip),b,2196,a),flip(a)]. given #2094 (H,wt=21): 2198 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(115,a,9,a(flip),b,2196,a)]. given #2095 (H,wt=23): 2200 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(877(a,1),2197(a,1,1,2)),flip(a)]. given #2096 (H,wt=17): 2202 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(62,a,877,a(flip),b,2200,a),flip(a)]. given #2097 (H,wt=27): 2201 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(1154(a,2),2198(a,1,1,2))]. given #2098 (H,wt=13): 2203 (x * K(y,x)) \ K(y,x) = x \ 1. [para(1154(a,2),2201(a,1,2))]. given #2099 (H,wt=13): 2204 K(x,y) / (y \ 1) = y * K(x,y). [hyper(176,a,2203,a)]. given #2100 (H,wt=13): 2205 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(131,a,2203,a)]. given #2101 (H,wt=17): 2207 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [para(77(a,1),2204(a,1,2)),flip(a)]. given #2102 (H,wt=20): 2206 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(2203(a,1),284(a,1,2))]. given #2103 (H,wt=31): 1991 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(1988(a,1),43(a,1))]. given #2104 (H,wt=31): 2106 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(279,a,2096,a),flip(a)]. given #2105 (H,wt=27): 2210 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(12(a,1),2106(a,2,2,1,2,1))]. given #2106 (H,wt=27): 2211 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(128,a,2210,a)]. given #2107 (H,wt=25): 2212 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(7(a,1),2211(a,1,1,2,1,2,2)),flip(a)]. given #2108 (H,wt=31): 2153 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2152(a,1),1566(a,1,1)),flip(a)]. given #2109 (H,wt=27): 2213 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2152(a,1),2153(a,2,2,1,1))]. given #2110 (H,wt=21): 2214 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(273,a,877,a(flip),b,2213,a),flip(a)]. given #2111 (H,wt=15): 2216 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(877(a,1),2214(a,1,1))]. given #2112 (H,wt=13): 2217 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(53,a,2216,a)]. given #2113 (H,wt=11): 2219 K(K(x,y),y \ T(y,z)) = 1. [hyper(54,a,2217,a)]. given #2114 (H,wt=15): 2220 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1292(a,1),2219(a,1,2,2))]. given #2115 (H,wt=13): 2221 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(22(a,2),2220(a,1,2))]. given #2116 (H,wt=20): 2218 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2216(a,1),677(a,1,1)),flip(a)]. given #2117 (H,wt=15): 2222 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(273,a,676,a,b,2218,a),flip(a)]. given #2118 (H,wt=11): 2223 T(K(x,y),K(z,x)) = K(x,y). [para(16(a,2),2222(a,1,1))]. given #2119 (H,wt=11): 2224 T(K(x,y),K(y,z)) = K(x,y). [hyper(53,a,2223,a)]. given #2120 (H,wt=14): 2225 T(x,K(y,z)) != K(z,u) | K(z,u) = x. [para(2223(a,1),48(a,1)),flip(a)]. given #2121 (H,wt=14): 2229 T(x,K(y,z)) != K(u,y) | K(u,y) = x. [para(2224(a,1),48(a,1)),flip(a)]. given #2122 (H,wt=15): 2226 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2223(a,1),108(a,1,2)),flip(a)]. given #2123 (H,wt=18): 2227 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2223(a,1),252(a,1,2))]. given #2124 (H,wt=18): 2230 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2224(a,1),252(a,1,2))]. given #2125 (H,wt=18): 2236 K(x,y) * K(z,x) != K(z,x) * u | K(x,y) = u. [para(2226(a,2),42(a,1))]. given #2126 (H,wt=19): 2231 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2224(a,1),209(a,1,2,1)),flip(a)]. given #2127 (H,wt=21): 2228 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2223(a,1),210(a,1,2,1)),flip(a)]. given #2128 (H,wt=21): 2232 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2224(a,1),210(a,1,2,1)),flip(a)]. given #2129 (H,wt=21): 2233 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2224(a,1),211(a,1,2,1)),flip(a)]. given #2130 (H,wt=22): 2234 K(x,y) * T(K(z,x),u) != w | T(K(z,x),u) * K(x,y) = w. [para(2224(a,1),379(a,1,2,1))]. given #2131 (H,wt=24): 2235 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2224(a,1),380(a,1,2,1))]. given #2132 (H,wt=31): 2157 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(273,a,1872,a(flip),b,2156,a),flip(a)]. given #2133 (H,wt=27): 2238 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1856(a,1),2157(a,1,1))]. given #2134 (H,wt=25): 2239 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(904(a,1),2238(a,1,2))]. given #2135 (H,wt=24): 2240 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(62,a,1992,a(flip),b,2239,a)]. given #2136 (H,wt=22): 2241 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(273,a,1868,a(flip),b,2240,a),flip(a)]. given #2137 (H,wt=19): 2242 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(1991,a,2241,a)]. given #2138 (H,wt=18): 2243 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(273,a,192,a(flip),b,2242,a)]. given #2139 (H,wt=17): 2244 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(192(a,1),2243(a,2,2,2)),flip(a)]. given #2140 (H,wt=17): 2246 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(122,a,2244,a)]. given #2141 (H,wt=19): 2245 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(273,a,8,a,b,2244,a),flip(a)]. given #2142 (H,wt=24): 2247 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2246(a,1),256(a,1,1))]. given #2143 (H,wt=23): 2248 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(232(a,1),2247(a,2,1))]. given #2144 (H,wt=31): 2162 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2161(a,1),1170(a,1,1)),flip(a)]. given #2145 (H,wt=23): 2249 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2161(a,1),2162(a,1,2,1)),flip(a)]. given #2146 (H,wt=31): 2195 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1804(a,2),1816(a,2,1,1,2))]. given #2147 (H,wt=31): 2250 (T((x / (1 / y)) / y,z) * y) * (1 / y) = K(y,y \ 1) * T(K(y,y \ 1) \ x,z). [hyper(273,a,417,a(flip),b,2195,a),flip(a)]. given #2148 (H,wt=31): 2251 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [hyper(62,a,1423,a(flip),b,2250,a),flip(a)]. given #2149 (H,wt=27): 2252 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(1646(a,1),2251(a,2,2))]. given #2150 (H,wt=19): 2253 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(273,a,1518,a(flip),b,2252,a),flip(a)]. given #2151 (H,wt=19): 2254 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(672,a,2253,a),flip(a)]. given #2152 (H,wt=19): 2255 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(9(a,1),2253(a,1,2,1)),flip(a)]. given #2153 (H,wt=21): 2257 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(110(a,1),2254(a,2,1))]. given #2154 (H,wt=19): 2259 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1882,a,2257,a)]. given #2155 (H,wt=19): 2260 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(131,a,2259,a)]. given #2156 (H,wt=19): 2262 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(9(a,1),2260(a,1,2,1)),flip(a)]. given #2157 (H,wt=10): 2263 R(x,y,K(x,x \ 1)) = x. [hyper(478,a,2262,a)]. given #2158 (H,wt=14): 2264 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(450,a,2262,a)]. given #2159 (H,wt=14): 2265 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2263(a,1),27(a,2,1))]. given #2160 (H,wt=13): 2268 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(62,a,1880,a(flip),b,2265,a),flip(a)]. given #2161 (H,wt=14): 2266 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1856(a,1),2263(a,1,3))]. given #2162 (H,wt=16): 2271 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2062(a,2),2268(a,1,2)),flip(a)]. given #2163 (H,wt=17): 2270 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1807(a,1),2268(a,1,2,2))]. given #2164 (H,wt=19): 2267 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2264(a,1),506(a,1,2))]. given #2165 (H,wt=21): 2258 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2255(a,2),1944(a,1,2))]. given #2166 (H,wt=19): 2274 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(252,a,2258,a)]. given #2167 (H,wt=10): 2275 L(x,y,K(x,x \ 1)) = x. [hyper(450,a,2274,a)]. given #2168 (H,wt=14): 2278 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1856(a,1),2275(a,1,3))]. given #2169 (H,wt=18): 2279 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2278(a,1),25(a,2,1))]. given #2170 (H,wt=21): 2261 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(33,a,1817,a(flip),b,2260,a),flip(a)]. given #2171 (H,wt=22): 2276 K(x,x \ 1) * y != (K(x,x \ 1) * z) * x | z * x = y. [para(2274(a,2),42(a,1)),flip(a)]. given #2172 (H,wt=22): 2277 (K(x,x \ 1) * y) * x != z | K(x,x \ 1) * (y * x) = z. [para(2275(a,1),255(a,1,2))]. given #2173 (H,wt=23): 2256 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(1663,a,2254,a),flip(a)]. given #2174 (H,wt=21): 2280 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(435(a,1),2256(a,1,1,1)),flip(a)]. given #2175 (H,wt=19): 2281 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(435(a,1),2280(a,1,1)),flip(a)]. given #2176 (H,wt=21): 2282 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2281(a,2),1590(a,1,2))]. given #2177 (H,wt=19): 2283 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(252,a,2282,a)]. given #2178 (H,wt=10): 2284 L(x,y,K(x \ 1,x)) = x. [hyper(450,a,2283,a)]. given #2179 (H,wt=14): 2285 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2284(a,1),25(a,2,1))]. given #2180 (H,wt=13): 2286 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1987,a,2285,a)]. given #2181 (H,wt=13): 2288 T(x,K(x \ 1,x) \ y) = T(x,y). [para(10(a,1),2286(a,1,2)),flip(a)]. given #2182 (H,wt=23): 2272 ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(x \ 1,x)). [para(2266(a,1),104(a,1,1)),flip(a)]. given #2183 (H,wt=32): 662 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(263(a,1),417(a,1,1,1)),flip(a)]. given #2184 (H,wt=27): 2289 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(273,a,474,a(flip),b,662,a),flip(a)]. given #2185 (H,wt=23): 2290 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1010,a,2289,a)]. given #2186 (H,wt=23): 2291 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(108(a,1),2290(a,1,2)),flip(a)]. given #2187 (H,wt=32): 912 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(911(a,1),264(a,1,1))]. given #2188 (H,wt=13): 2293 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(912,a,2245,a(flip))]. given #2189 (H,wt=30): 2292 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(912,a,389,a),flip(a)]. given #2190 (H,wt=30): 2294 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(62,a,1129,a(flip),b,2292,a)]. given #2191 (H,wt=23): 2295 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(668(a,1),2294(a,1,2)),flip(a)]. given #2192 (H,wt=13): 2296 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(115,a,2293,a(flip),b,2295,a(flip)),flip(a)]. given #2193 (H,wt=13): 2297 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(273,a,109,a,b,2296,a),flip(a)]. given #2194 (H,wt=13): 2301 T(1 / (1 / x),(y * x) \ y) = x. [hyper(1759,a,2297,a(flip))]. given #2195 (H,wt=14): 2300 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(192(a,2),2296(a,1,2))]. given #2196 (H,wt=14): 2303 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(192(a,2),2297(a,1,2))]. given #2197 (H,wt=15): 2298 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(116,a,2296,a(flip),b,2089,a),flip(a)]. given #2198 (H,wt=13): 2305 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(273,a,1768,a(flip),b,2298,a),flip(a)]. given #2199 (H,wt=13): 2308 K(x,y \ (y / x)) = K(x,x \ 1). [para(12(a,1),2305(a,1,2,1))]. given #2200 (H,wt=15): 2299 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(10(a,1),2296(a,1,2,1))]. given #2201 (H,wt=15): 2312 1 / T(x \ y,y \ x) = (x \ y) \ 1. [hyper(176,a,2299,a(flip))]. given #2202 (H,wt=17): 2307 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(10(a,1),2305(a,1,2,1)),flip(a)]. given #2203 (H,wt=17): 2311 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(62,a,622,a,b,2308,a)]. given #2204 (H,wt=17): 2313 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(77(a,1),2299(a,1,2))]. given #2205 (H,wt=17): 2318 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(9(a,1),2312(a,1,2,2))]. given #2206 (H,wt=17): 2319 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1809,a,2307,a)]. given #2207 (H,wt=17): 2320 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [hyper(115,a,2307,a(flip),b,1804,a(flip))]. given #2208 (H,wt=19): 2304 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [hyper(245,a,2301,a)]. given #2209 (H,wt=14): 2322 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(62,a,1351,a(flip),b,2304,a)]. given #2210 (H,wt=18): 2324 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(10(a,1),2322(a,1,2,1))]. given #2211 (H,wt=19): 2309 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(108(a,1),2305(a,1,2,1)),flip(a)]. given #2212 (H,wt=19): 2314 (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). [para(2299(a,1),108(a,1,2))]. given #2213 (H,wt=19): 2321 x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [para(2313(a,1),108(a,1,2))]. given #2214 (H,wt=21): 2302 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(86(a,1),2297(a,1,2,1))]. given #2215 (H,wt=17): 2327 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(16(a,2),2302(a,1,2)),flip(a)]. given #2216 (H,wt=15): 2328 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(394,a,2327,a),flip(a)]. given #2217 (H,wt=11): 2330 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(62,a,2224,a(flip),b,2328,a),flip(a)]. given #2218 (H,wt=11): 2334 1 / (1 / K(x,y)) = K(x,y). [para(2330(a,1),172(a,1,2,2))]. given #2219 (H,wt=14): 2333 K(x,y) != z \ 1 | K(x,y) \ 1 = z. [para(2330(a,1),47(a,1))]. given #2220 (H,wt=18): 2329 T(K(x,y),K(y,x)) != z | (K(x,y) \ 1) \ 1 = z. [para(2327(a,1),394(a,1))]. given #2221 (H,wt=21): 2316 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2299(a,1),1145(a,1,2)),flip(a)]. given #2222 (H,wt=21): 2326 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2324(a,1),1910(a,1,2)),flip(a)]. given #2223 (H,wt=19): 2335 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2307(a,1),2326(a,1,2))]. given #2224 (H,wt=19): 2336 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(115,a,2335,a,b,xx)]. given #2225 (H,wt=21): 2337 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2311(a,1),2335(a,1,2))]. given #2226 (H,wt=22): 2315 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2299(a,1),252(a,1,2))]. given #2227 (H,wt=22): 2325 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(9(a,1),2324(a,1,2))]. given #2228 (H,wt=16): 2341 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(62,a,1749,a(flip),b,2325,a)]. given #2229 (H,wt=17): 2344 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). [para(192(a,2),2341(a,2,2,2)),flip(a)]. given #2230 (H,wt=17): 2345 (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). [para(2344(a,1),175(a,1,1,1))]. given #2231 (H,wt=18): 2343 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(74(a,1),2341(a,1,1))]. given #2232 (H,wt=23): 2310 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(973(a,2),2305(a,1,2,1))]. given #2233 (H,wt=21): 2347 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1468(a,1),2310(a,1,2))]. given #2234 (H,wt=19): 2348 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(273,a,2307,a(flip),b,2347,a),flip(a)]. given #2235 (H,wt=25): 2317 T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(2299(a,1),1646(a,1,2)),flip(a)]. given #2236 (H,wt=26): 2338 x * (1 / (1 / (x \ y))) != z * u | z \ (y * K(y \ x,x \ y)) = u. [para(2336(a,1),378(a,1,2))]. given #2237 (H,wt=26): 2339 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2336(a,1),440(a,1,1,2))]. given #2238 (H,wt=22): 2349 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(9(a,1),2339(a,1,1,2,2,2))]. given #2239 (H,wt=20): 2350 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(1763(a,1),2349(a,1,1))]. given #2240 (H,wt=29): 2346 L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(236(a,1),2345(a,1,1,1,1)),flip(a)]. given #2241 (H,wt=27): 2351 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(1824(a,1),2346(a,1,1))]. given #2242 (H,wt=32): 930 (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. [para(669(a,2),213(a,2))]. given #2243 (H,wt=32): 1173 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(682,a,1168,a),flip(a)]. given #2244 (H,wt=32): 1234 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(20(a,2),1224(a,1,1,2,2))]. given #2245 (H,wt=28): 2352 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1409(a,1),1234(a,2,1))]. given #2246 (H,wt=26): 2353 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1427(a,1),2352(a,2,1,1))]. given #2247 (H,wt=21): 2354 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(273,a,20,a,b,2353,a)]. given #2248 (H,wt=24): 2355 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(273,a,1221,a(flip),b,2354,a)]. given #2249 (H,wt=25): 2356 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(71(a,1),2354(a,2,1,2))]. given #2250 (H,wt=25): 2358 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(252,a,2355,a),flip(a)]. given #2251 (H,wt=28): 2359 R(x * T(x \ 1,R(x,y,z)),y,z) != u * R(x,y,z) | R(x,y,z) \ 1 = u. [para(2355(a,1),214(a,1))]. given #2252 (H,wt=30): 2360 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2356(a,1),104(a,1,1))]. given #2253 (H,wt=32): 1240 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(18(a,2),1228(a,2,2,1,2,2))]. given #2254 (H,wt=28): 2361 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1010,a,1240,a),flip(a)]. given #2255 (H,wt=26): 2362 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(669(a,1),2361(a,2,2))]. given #2256 (H,wt=21): 2363 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(450,a,2362,a)]. given #2257 (H,wt=19): 2365 K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). [para(307(a,1),2363(a,1,1)),flip(a)]. given #2258 (H,wt=19): 2367 K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). [para(1266(a,2),2365(a,1,1))]. given #2259 (H,wt=20): 2368 L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). [para(2284(a,1),2367(a,1,1,1,2)),flip(a)]. given #2260 (H,wt=18): 2369 L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). [para(110(a,1),2368(a,2,1))]. given #2261 (H,wt=21): 2366 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(877(a,1),2363(a,1,1))]. given #2262 (H,wt=25): 2364 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(71(a,1),2363(a,2,1,2))]. given #2263 (H,wt=26): 2372 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(411(a,1),2366(a,2,1,2))]. given #2264 (H,wt=26): 2373 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2090(a,2),2372(a,1,1))]. given #2265 (H,wt=27): 2370 (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). [para(2369(a,1),94(a,1,2))]. given #2266 (H,wt=21): 2374 T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). [hyper(212,a,2370,a,b,xx)]. given #2267 (H,wt=32): 1244 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1232(a,2),394(a,1,2))]. given #2268 (H,wt=32): 1272 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1262(a,1),653(a,1,2))]. given #2269 (H,wt=25): 2376 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(62,a,1352,a(flip),b,1272,a)]. given #2270 (H,wt=29): 2378 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2376(a,1),779(a,1,1)),flip(a)]. given #2271 (H,wt=29): 2379 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(273,a,581,a(flip),b,2378,a),flip(a)]. given #2272 (H,wt=22): 2380 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(62,a,1333,a(flip),b,2379,a),flip(a)]. given #2273 (H,wt=32): 1403 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(10(a,1),473(a,1,2,1))]. given #2274 (H,wt=32): 1557 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(1452(a,1),96(a,1,1)),flip(a)]. given #2275 (H,wt=32): 1775 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(62,a,353,a(flip),b,1763,a),flip(a)]. given #2276 (H,wt=28): 2381 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2344(a,1),1775(a,2,2))]. given #2277 (H,wt=32): 1884 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = T(x,y) \ T(T(x,x \ 1),y). [para(1797(a,1),236(a,1,2,2))]. given #2278 (H,wt=29): 2382 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = a(T(x,y),1 / x,x). [hyper(273,a,1797,a(flip),b,1884,a),flip(a)]. given #2279 (H,wt=20): 2383 T(T(x,x \ 1),y) / T(x,y) = a(T(x,y),1 / x,x). [para(2146(a,1),2382(a,1,2))]. given #2280 (H,wt=33): 836 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(115,a,83,a(flip),b,584,a),flip(a)]. given #2281 (H,wt=33): 914 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(520(a,1),454(a,1,2))]. given #2282 (H,wt=33): 1111 ((x * R(y / z,z,u)) / x) * (z * u) != w | (z * u) * ((x * ((z * u) \ (y * u))) / x) = w. [para(105(a,2),866(a,1,1,1,2))]. given #2283 (H,wt=33): 1116 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(104(a,1),444(a,1,2))]. given #2284 (H,wt=33): 1117 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(94(a,1),472(a,1,1))]. given #2285 (H,wt=33): 1233 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1201(a,1),1226(a,1,1,2))]. given #2286 (H,wt=26): 2386 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(22(a,2),1233(a,1,1))]. given #2287 (H,wt=25): 2387 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2271(a,1),2386(a,2,2))]. given #2288 (H,wt=33): 1254 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(227(a,2),894(a,1,1))]. given #2289 (H,wt=33): 1379 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1370(a,1),688(a,1,1,2))]. given #2290 (H,wt=32): 2389 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1635(a,1),1379(a,1,1))]. given #2291 (H,wt=33): 2038 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(590(a,1),1357(a,2,2,1))]. given #2292 (H,wt=31): 2390 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(87(a,1),2038(a,1,1))]. given #2293 (H,wt=29): 2391 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(87(a,1),2390(a,1,2,1,1))]. given #2294 (H,wt=33): 2113 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2108(a,1),2100(a,1,2)),flip(a)]. given #2295 (H,wt=33): 2385 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(227(a,2),914(a,1,2,1,1))]. given #2296 (H,wt=33): 2388 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(227(a,2),1254(a,1,2,1,1))]. given #2297 (H,wt=33): 2392 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(273,a,1935,a(flip),b,2385,a),flip(a)]. given #2298 (H,wt=29): 2394 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(903(a,1),2392(a,2,1))]. given #2299 (H,wt=33): 2393 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(273,a,1354,a(flip),b,2388,a),flip(a)]. given #2300 (H,wt=29): 2395 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1179(a,1),2393(a,2,1))]. given #2301 (H,wt=34): 762 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(263(a,1),588(a,1,1,1)),flip(a)]. given #2302 (H,wt=29): 2396 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(273,a,476,a(flip),b,762,a),flip(a)]. given #2303 (H,wt=25): 2397 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1118,a,2396,a)]. given #2304 (H,wt=28): 2398 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1391(a,1),2397(a,2,1,1))]. given #2305 (H,wt=34): 901 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(880(a,1),504(a,1,1,1))]. given #2306 (H,wt=34): 1188 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(664(a,1),1141(a,1,2,2,1)),flip(a)]. given #2307 (H,wt=34): 1598 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(193(a,2),1492(a,2,1,2,2))]. given #2308 (H,wt=28): 2400 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [hyper(62,a,1492,a(flip),b,1598,a),flip(a)]. given #2309 (H,wt=34): 1854 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,y),R(1 / x,x,T(x,y))) / T(x,y). [para(1801(a,2),1294(a,1,2,1))]. given #2310 (H,wt=29): 2401 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,x \ 1),y) / T(x,y). [para(2075(a,1),1854(a,2,1))]. given #2311 (H,wt=26): 2402 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = a(T(x,y),1 / x,x). [hyper(273,a,2383,a(flip),b,2401,a),flip(a)]. given #2312 (H,wt=24): 2404 (1 / x) \ ((T(x,y) * (1 / x)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1801(a,1),2402(a,1,2,1))]. given #2313 (H,wt=23): 2405 (1 / x) \ L(1 / x,T(x,y),1 / x) = a(T(x,y),1 / x,x). [para(1964(a,1),2404(a,1,2))]. given #2314 (H,wt=21): 2406 x * L(x \ 1,T(x,y),1 / x) = a(T(x,y),1 / x,x). [hyper(62,a,904,a(flip),b,2405,a)]. given #2315 (H,wt=20): 2407 x * ((x \ T(x,y)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1968(a,1),2406(a,1,2))]. given #2316 (H,wt=34): 2237 K(x,y) \ (L(z,K(u,x),K(x,y)) * (K(u,x) * K(x,y))) = K(u,x) * T(z,K(x,y) * K(u,x)). [para(2226(a,1),577(a,1,2,2))]. given #2317 (H,wt=34): 2399 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(27(a,2),1188(a,2,2,2))]. given #2318 (H,wt=32): 2408 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(586(a,1),2399(a,2,2))]. given #2319 (H,wt=31): 2409 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(314(a,1),2408(a,2,2))]. given #2320 (H,wt=35): 1019 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1017(a,1),602(a,1,1,2)),flip(a)]. given #2321 (H,wt=35): 1072 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1063(a,1),602(a,1,1,2)),flip(a)]. given #2322 (H,wt=35): 1119 (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. [para(802(a,2),213(a,2))]. given #2323 (H,wt=35): 1121 (x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u. [para(806(a,2),213(a,2))]. given #2324 (H,wt=35): 1764 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1755(a,1),1220(a,1,1))]. given #2325 (H,wt=29): 2410 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(1491(a,1),1764(a,1,2)),flip(a)]. given #2326 (H,wt=27): 2411 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1755(a,1),2410(a,1,2,1,2))]. given #2327 (H,wt=19): 2412 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(309(a,1),2411(a,1,2,1)),flip(a)]. given #2328 (H,wt=34): 2413 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2412(a,1),18(a,2,1)),flip(a)]. given #2329 (H,wt=35): 2040 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(33,a,261,a,b,2039,a),flip(a)]. given #2330 (H,wt=31): 2415 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1999(a,1),2040(a,1,2,2)),flip(a)]. given #2331 (H,wt=17): 2416 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(115,a,2001,a(flip),b,2415,a(flip)),flip(a)]. given #2332 (H,wt=35): 2182 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1490(a,2),1558(a,2,2,1))]. given #2333 (H,wt=31): 2417 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(62,a,1558,a(flip),b,2182,a),flip(a)]. given #2334 (H,wt=27): 2418 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2007(a,1),2417(a,1,2))]. given #2335 (H,wt=25): 2419 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(62,a,2017,a(flip),b,2418,a),flip(a)]. given #2336 (H,wt=35): 2208 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2204(a,1),1220(a,1,1)),flip(a)]. given #2337 (H,wt=29): 2420 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(877(a,1),2208(a,2,2))]. given #2338 (H,wt=27): 2421 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2204(a,1),2420(a,1,2,1,2))]. given #2339 (H,wt=23): 2422 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(22(a,2),2421(a,1,2,1))]. given #2340 (H,wt=35): 2371 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(11(a,1),2366(a,2,1,2))]. given #2341 (H,wt=26): 2423 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1342(a,1),2371(a,1,1,2)),flip(a)]. given #2342 (H,wt=24): 2424 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(66(a,1),2423(a,2,1))]. given #2343 (H,wt=21): 2425 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(273,a,334,a(flip),b,2424,a),flip(a)]. given #2344 (H,wt=23): 2428 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2425(a,1),260(a,1,2)),flip(a)]. given #2345 (H,wt=21): 2429 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(273,a,8,a(flip),b,2428,a),flip(a)]. given #2346 (H,wt=36): 1155 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1152(a,1),1103(a,1,1))]. given #2347 (H,wt=22): 2430 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(273,a,1154,a,b,1155,a),flip(a)]. given #2348 (H,wt=21): 2431 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(192(a,1),2430(a,1,2,1))]. given #2349 (H,wt=29): 2432 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2431(a,1),110(a,1,1)),flip(a)]. given #2350 (H,wt=32): 2433 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2431(a,1),383(a,1,1))]. given #2351 (H,wt=36): 2375 K(x \ 1,x) * (y * K(x \ 1,x)) != K(x \ 1,x) * z | T(K(x \ 1,x) * y,K(x \ 1,x)) = z. [para(2370(a,1),213(a,2)),flip(a)]. given #2352 (H,wt=37): 1245 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(423(a,1),1232(a,1,1,2,2,1))]. given #2353 (H,wt=35): 2434 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2006(a,1),1245(a,1,1,2))]. given #2354 (H,wt=29): 2435 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(1491(a,1),2434(a,1,1,2)),flip(a)]. given #2355 (H,wt=23): 2436 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(1450(a,1),2435(a,2,1))]. given #2356 (H,wt=19): 2438 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(423(a,1),2436(a,1,1))]. given #2357 (H,wt=21): 2437 T(x,y) \ K(T(x,y),1 / x) = T(1 / (1 / x),y) \ 1. [hyper(115,a,2436,a(flip),b,1172,a(flip))]. given #2358 (H,wt=37): 1670 ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(1446(a,1),1669(a,2,2,1,2))]. given #2359 (H,wt=25): 2439 ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(301(a,1),1670(a,1,1,1,2))]. given #2360 (H,wt=21): 2440 (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). [para(77(a,1),2439(a,1,2)),flip(a)]. given #2361 (H,wt=23): 2442 ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. [para(199(a,1),2440(a,1,2)),flip(a)]. given #2362 (H,wt=17): 2443 (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). [para(199(a,1),2442(a,1,1)),flip(a)]. given #2363 (H,wt=19): 2444 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(116,a,236,a(flip),b,2443,a),flip(a)]. given #2364 (H,wt=17): 2445 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. [hyper(62,a,268,a(flip),b,2444,a)]. given #2365 (H,wt=20): 2446 (T(x,y) \ x) / x != 1 / z | (T(x,y) \ x) \ x = z. [para(2445(a,1),44(a,1))]. given #2366 (H,wt=38): 1361 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(646(a,1),1325(a,1,2,1)),flip(a)]. given #2367 (H,wt=32): 2447 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(273,a,448,a(flip),b,1361,a),flip(a)]. given #2368 (H,wt=30): 2448 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(211(a,1),2447(a,2,2))]. given #2369 (H,wt=38): 1892 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1850(a,1),576(a,1,2))]. given #2370 (H,wt=32): 2449 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2270(a,1),1892(a,1,2,2,2)),flip(a)]. given #2371 (H,wt=39): 1476 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1436(a,1),1189(a,1,1,2,1)),flip(a)]. given #2372 (H,wt=31): 2450 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(11(a,1),1476(a,1,1))]. given #2373 (H,wt=23): 2451 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(11(a,1),2450(a,1,2,1,1)),flip(a)]. given #2374 (H,wt=19): 2452 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(9(a,1),2451(a,2,2,1))]. given #2375 (H,wt=19): 2453 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(12(a,1),2452(a,1,1,1))]. given #2376 (H,wt=39): 1996 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1349(a,1),1994(a,1,2,1,1)),flip(a)]. given #2377 (H,wt=32): 2454 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1349(a,1),1996(a,2,1))]. given #2378 (H,wt=26): 2455 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(273,a,1070,a(flip),b,2454,a),flip(a)]. given #2379 (H,wt=20): 2457 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1070(a,1),2455(a,1,1))]. given #2380 (H,wt=20): 2458 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(53,a,2457,a)]. given #2381 (H,wt=39): 2273 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2271(a,1),205(a,1,2,1))]. given #2382 (H,wt=32): 2459 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1717(a,1),2273(a,1,2))]. given #2383 (H,wt=23): 2460 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(709,a,2459,a),flip(a)]. given #2384 (H,wt=17): 2461 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(62,a,2387,a(flip),b,2460,a)]. given #2385 (H,wt=40): 1120 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(94(a,1),802(a,1,1))]. given #2386 (H,wt=37): 2462 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(94(a,1),1120(a,1,2,1,1))]. given #2387 (H,wt=33): 2463 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1118,a,2462,a),flip(a)]. given #2388 (H,wt=31): 2464 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(802(a,1),2463(a,2,2))]. given #2389 (H,wt=26): 2465 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(450,a,2464,a),flip(a)]. given #2390 (H,wt=32): 2466 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(62,a,1019,a(flip),b,2465,a),flip(a)]. given #2391 (H,wt=29): 2467 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1353(a,1),2466(a,1,1,2)),flip(a)]. given #2392 (H,wt=27): 2468 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(273,a,2364,a(flip),b,2467,a),flip(a)]. given #2393 (H,wt=17): 2469 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(34,a,227,a(flip),b,2468,a),flip(a)]. given #2394 (H,wt=21): 2470 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(77(a,1),2469(a,1,1))]. given #2395 (H,wt=19): 2471 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(904(a,1),2470(a,1,2))]. given #2396 (H,wt=19): 2472 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(129,a,2471,a)]. given #2397 (H,wt=19): 2473 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(34,a,2429,a,b,2472,a)]. given #2398 (H,wt=21): 2475 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1301(a,1),2473(a,1,1)),flip(a)]. given #2399 (H,wt=22): 2474 x * (y * L(y \ 1,z,u)) != y | L(1 / y,z,u) \ 1 = x. [para(2472(a,1),43(a,1)),flip(a)]. given #2400 (H,wt=40): 2103 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(490(a,2),2100(a,2,1,2,1)),flip(a)]. given #2401 (H,wt=36): 2476 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(273,a,2100,a(flip),b,2103,a),flip(a)]. given #2402 (H,wt=40): 2414 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2412(a,1),1557(a,1,1))]. given #2403 (H,wt=41): 1604 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(1107(a,1),1602(a,1,1,2,1)),flip(a)]. given #2404 (H,wt=41): 2121 T(x,y) \ T(T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(2114(a,1),1521(a,1,2,1))]. given #2405 (H,wt=39): 2477 T(x,y) \ T(T(x * ((x \ T(x,y)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(880(a,1),2121(a,1,2,1,1,2,1))]. given #2406 (H,wt=36): 2478 T(x,y) \ T(T(a(T(x,y),1 / x,x),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(2407(a,1),2477(a,1,2,1,1))]. given #2407 (H,wt=41): 2357 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1071(a,1),2354(a,2,1,2))]. given #2408 (H,wt=39): 2479 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1824(a,1),2357(a,1,1,2,1))]. given #2409 (H,wt=32): 2480 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1392(a,1),2479(a,1,1,2)),flip(a)]. given #2410 (H,wt=42): 1288 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(104(a,1),922(a,1,2))]. given #2411 (H,wt=39): 2482 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(104(a,1),1288(a,1,1,1,2,2)),flip(a)]. given #2412 (H,wt=39): 2483 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(273,a,779,a(flip),b,2482,a),flip(a)]. given #2413 (H,wt=35): 2484 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(273,a,2096,a(flip),b,2483,a),flip(a)]. given #2414 (H,wt=35): 2485 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(779(a,1),2484(a,1,1))]. given #2415 (H,wt=33): 2486 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2108(a,1),2485(a,2,1))]. given #2416 (H,wt=28): 2487 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(34,a,104,a,b,2486,a),flip(a)]. given #2417 (H,wt=23): 2488 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1331,a,2487,a),flip(a)]. given #2418 (H,wt=30): 2489 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(10(a,1),2487(a,1,2,1)),flip(a)]. given #2419 (H,wt=30): 2490 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(273,a,1804,a,b,2489,a),flip(a)]. given #2420 (H,wt=28): 2491 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1063(a,1),2490(a,1,1,2,1))]. given #2421 (H,wt=42): 1312 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(20(a,2),1311(a,1,1)),flip(a)]. given #2422 (H,wt=37): 2492 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(20(a,2),1312(a,2,2,1,1))]. given #2423 (H,wt=33): 2493 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1325(a,1),2492(a,1,1))]. given #2424 (H,wt=31): 2494 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1358(a,1),2493(a,1,1,1))]. given #2425 (H,wt=26): 2495 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(482,a,2494,a),flip(a)]. given #2426 (H,wt=29): 2496 R(x,y,z) * R(R(x,y,z) \ 1,u,w) != v5 | R(x * R(x \ 1,u,w),y,z) = v5. [para(2494(a,1),482(a,1))]. given #2427 (H,wt=32): 2497 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(62,a,1072,a(flip),b,2495,a),flip(a)]. given #2428 (H,wt=29): 2498 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1394(a,1),2497(a,1,1,2)),flip(a)]. given #2429 (H,wt=17): 2499 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(34,a,2358,a(flip),b,2498,a),flip(a)]. given #2430 (H,wt=42): 1315 (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(94(a,1),1096(a,1,1))]. given #2431 (H,wt=39): 2500 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(94(a,1),1315(a,1,2,1,2,1))]. given #2432 (H,wt=35): 2501 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(62,a,1097,a(flip),b,2500,a),flip(a)]. given #2433 (H,wt=33): 2502 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1096(a,1),2501(a,2,2))]. given #2434 (H,wt=28): 2503 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(450,a,2502,a),flip(a)]. given #2435 (H,wt=42): 1327 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(18(a,2),1326(a,1,1)),flip(a)]. given #2436 (H,wt=37): 2504 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(18(a,2),1327(a,2,2,1,1))]. given #2437 (H,wt=33): 2505 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(895(a,1),2504(a,1,2))]. given #2438 (H,wt=31): 2506 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(806(a,1),2505(a,1,2,2))]. given #2439 (H,wt=26): 2507 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(453,a,2506,a),flip(a)]. given #2440 (H,wt=29): 2508 L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5. [para(2506(a,1),453(a,1))]. given #2441 (H,wt=33): 2510 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1781(a,1),2507(a,2,1,2))]. given #2442 (H,wt=34): 2509 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1271(a,1),2507(a,1,2))]. given #2443 (H,wt=32): 2512 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(8(a,1),2509(a,1,2,2)),flip(a)]. given #2444 (H,wt=27): 2513 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2380(a,1),2512(a,1,1)),flip(a)]. given #2445 (H,wt=42): 1949 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(20(a,2),1937(a,1,1)),flip(a)]. given #2446 (H,wt=37): 2514 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(20(a,2),1949(a,2,2,1,1))]. given #2447 (H,wt=33): 2515 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1338(a,1),2514(a,1,1))]. given #2448 (H,wt=31): 2516 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1339(a,1),2515(a,1,1,1))]. given #2449 (H,wt=26): 2517 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(482,a,2516,a),flip(a)]. given #2450 (H,wt=27): 2518 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(683(a,1),2517(a,2,1,2))]. given #2451 (H,wt=26): 2520 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1075(a,1),2518(a,1,2))]. given #2452 (H,wt=24): 2521 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(177(a,1),2520(a,2,1,2))]. given #2453 (H,wt=24): 2522 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1804(a,2),2521(a,2,1))]. given #2454 (H,wt=34): 2519 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1374(a,1),2517(a,1,2))]. given #2455 (H,wt=32): 2523 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(8(a,1),2519(a,1,2,2)),flip(a)]. given #2456 (H,wt=42): 2340 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(169(a,1),2337(a,1,1)),flip(a)]. given #2457 (H,wt=35): 2524 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(169(a,1),2340(a,1,2,2,2,2))]. given #2458 (H,wt=44): 1241 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1069(a,1),1231(a,2,2))]. given #2459 (H,wt=44): 2209 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(2205(a,1),2163(a,1,1))]. given #2460 (H,wt=38): 2526 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(877(a,1),2209(a,2,1,2))]. given #2461 (H,wt=45): 1562 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1026(a,1),1560(a,2,2,1,2)),flip(a)]. given #2462 (H,wt=39): 2527 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(1491(a,1),1562(a,2,1))]. given #2463 (H,wt=27): 2528 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(9(a,1),2527(a,1,2,1)),flip(a)]. given #2464 (H,wt=22): 2529 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(273,a,807,a(flip),b,2528,a),flip(a)]. given #2465 (H,wt=20): 2530 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2091(a,1),2529(a,1,1))]. given #2466 (H,wt=18): 2531 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2305(a,1),2530(a,1,1))]. given #2467 (H,wt=24): 2532 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [hyper(253,a,2531,a)]. given #2468 (H,wt=18): 2534 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1546(a,1),2532(a,1,2))]. given #2469 (H,wt=18): 2535 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(122,a,2534,a)]. given #2470 (H,wt=21): 2537 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(62,a,2381,a,b,2535,a)]. given #2471 (H,wt=20): 2539 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2537(a,1),1246(a,1,2)),flip(a)]. given #2472 (H,wt=17): 2540 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2300(a,1),2539(a,1,2)),flip(a)]. given #2473 (H,wt=13): 2545 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(2276,a,2540,a(flip))]. given #2474 (H,wt=13): 2547 x * K(x,x \ 1) = T(x,x \ 1). [hyper(273,a,109,a,b,2545,a),flip(a)]. given #2475 (H,wt=13): 2548 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(122,a,2545,a)]. given #2476 (H,wt=13): 2555 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(273,a,1802,a,b,2548,a),flip(a)]. given #2477 (H,wt=13): 2556 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(115,a,2548,a,b,1804,a(flip))]. given #2478 (H,wt=15): 2549 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(115,a,2069,a,b,2545,a)]. given #2479 (H,wt=13): 2558 K(x,y / (x * y)) = K(x,x \ 1). [hyper(62,a,2461,a(flip),b,2549,a)]. given #2480 (H,wt=16): 2550 (x \ 1) \ 1 != x * y | K(x,x \ 1) = y. [para(2545(a,1),42(a,1))]. given #2481 (H,wt=16): 2551 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(2545(a,1),288(a,1,2))]. given #2482 (H,wt=16): 2552 x * K(x,x \ 1) != y | T(x,x \ 1) = y. [para(2545(a,2),304(a,1))]. given #2483 (H,wt=16): 2554 x * K(x,x \ 1) != y | (x \ 1) \ 1 = y. [para(2547(a,2),394(a,1))]. given #2484 (H,wt=17): 2541 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2303(a,1),2539(a,1,2)),flip(a)]. given #2485 (H,wt=17): 2543 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(279,a,2540,a),flip(a)]. given #2486 (H,wt=17): 2544 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(62,a,1874,a,b,2540,a)]. given #2487 (H,wt=17): 2560 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(12(a,1),2558(a,1,2,2)),flip(a)]. given #2488 (H,wt=17): 2561 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(279,a,2541,a),flip(a)]. given #2489 (H,wt=17): 2562 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(62,a,1874,a,b,2541,a)]. given #2490 (H,wt=17): 2564 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(116,a,317,a(flip),b,2544,a),flip(a)]. given #2491 (H,wt=19): 2566 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1777(a,2),2544(a,2,2))]. given #2492 (H,wt=10): 2569 R(x,K(y,y \ 1),y) = x. [hyper(478,a,2566,a)]. given #2493 (H,wt=10): 2570 L(x,K(x,x \ 1),y) = x. [hyper(450,a,2566,a)]. given #2494 (H,wt=12): 2571 R(x,K(y \ 1,y),1 / y) = x. [para(1856(a,1),2569(a,1,2))]. given #2495 (H,wt=14): 2572 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1856(a,1),2570(a,1,2))]. given #2496 (H,wt=17): 2573 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2571(a,1),1772(a,1,1)),flip(a)]. given #2497 (H,wt=17): 2575 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(116,a,12,a(flip),b,2573,a),flip(a)]. given #2498 (H,wt=17): 2576 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(34,a,1551,a(flip),b,2573,a),flip(a)]. given #2499 (H,wt=12): 2578 R(x,1 / y,K(y \ 1,y)) = x. [hyper(751,a,2576,a)]. given #2500 (H,wt=14): 2577 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1632,a,2576,a)]. given #2501 (H,wt=13): 2581 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(560,a,2577,a)]. given #2502 (H,wt=14): 2580 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1805(a,1),2578(a,1,3))]. given #2503 (H,wt=14): 2582 R(x / (1 / y),y \ 1,y) = x * y. [hyper(278,a,2577,a),flip(a)]. given #2504 (H,wt=14): 2583 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(129,a,2577,a)]. given #2505 (H,wt=15): 2586 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2581(a,1),644(a,1,2))]. given #2506 (H,wt=17): 2579 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(279,a,2576,a),flip(a)]. given #2507 (H,wt=17): 2584 (x * (1 / y)) * y != z | R(x,y \ 1,y) = z. [para(2577(a,1),222(a,1,1))]. given #2508 (H,wt=16): 2594 R(x,1 / y,y) != z | R(x,y \ 1,y) = z. [para(234(a,1),2584(a,1))]. given #2509 (H,wt=17): 2585 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(74(a,1),2581(a,1,2)),flip(a)]. given #2510 (H,wt=17): 2587 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(62,a,1827,a(flip),b,2580,a)]. given #2511 (H,wt=17): 2588 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2580(a,1),1826(a,1,1)),flip(a)]. given #2512 (H,wt=17): 2596 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(62,a,1878,a(flip),b,2587,a)]. given #2513 (H,wt=18): 2589 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [para(2582(a,1),27(a,2,1))]. given #2514 (H,wt=18): 2591 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2133(a,1),2582(a,1,1)),flip(a)]. given #2515 (H,wt=19): 2599 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(62,a,2337,a(flip),b,2596,a)]. given #2516 (H,wt=19): 2600 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(115,a,2596,a(flip),b,2337,a(flip)),flip(a)]. given #2517 (H,wt=19): 2601 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(74(a,1),2599(a,1,2,2,2,2)),flip(a)]. given #2518 (H,wt=19): 2602 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(171,a,2600,a)]. given #2519 (H,wt=19): 2604 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(9(a,1),2601(a,2,2,2,2))]. given #2520 (H,wt=18): 2607 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2343(a,2),2604(a,1,2))]. given #2521 (H,wt=14): 2608 x / L(y,y \ 1,x) = x * (1 / y). [para(74(a,1),2607(a,2,2,2))]. given #2522 (H,wt=13): 2610 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(555,a,2608,a)]. given #2523 (H,wt=17): 2612 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(74(a,1),2610(a,1,2)),flip(a)]. given #2524 (H,wt=17): 2613 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(109(a,2),2612(a,1,2))]. given #2525 (H,wt=18): 2611 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2608(a,2),621(a,1,1,2))]. given #2526 (H,wt=18): 2616 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(62,a,2363,a,b,2611,a)]. given #2527 (H,wt=19): 2605 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(74(a,1),2602(a,1,1,2,2,2)),flip(a)]. given #2528 (H,wt=19): 2606 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(172(a,1),2602(a,1,1,2,2)),flip(a)]. given #2529 (H,wt=19): 2619 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(171,a,2606,a)]. given #2530 (H,wt=17): 2620 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(62,a,2313,a,b,2619,a)]. given #2531 (H,wt=17): 2622 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(131,a,2620,a(flip))]. given #2532 (H,wt=17): 2624 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(62,a,1243,a,b,2622,a)]. given #2533 (H,wt=17): 2625 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(11(a,1),2624(a,1,1)),flip(a)]. given #2534 (H,wt=17): 2626 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(129,a,2625,a)]. given #2535 (H,wt=15): 2627 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(34,a,2544,a,b,2626,a(flip))]. given #2536 (H,wt=15): 2629 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(128,a,2627,a)]. given #2537 (H,wt=17): 2630 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(34,a,2588,a,b,2627,a),flip(a)]. given #2538 (H,wt=17): 2631 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [hyper(34,a,2541,a,b,2627,a),flip(a)]. given #2539 (H,wt=17): 2632 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [hyper(34,a,2540,a,b,2627,a),flip(a)]. given #2540 (H,wt=17): 2634 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(116,a,2627,a(flip),b,2561,a),flip(a)]. given #2541 (H,wt=17): 2637 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2575(a,1),2627(a,1,1))]. given #2542 (H,wt=17): 2638 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2576(a,1),2627(a,1,1))]. given #2543 (H,wt=17): 2642 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [hyper(122,a,2630,a)]. given #2544 (H,wt=14): 2649 L(K(x \ 1,x),x,y) = K(x \ 1,x). [hyper(1784,a,2642,a)]. given #2545 (H,wt=17): 2643 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [hyper(279,a,2631,a),flip(a)]. given #2546 (H,wt=17): 2647 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(279,a,2638,a),flip(a)]. given #2547 (H,wt=17): 2652 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [hyper(62,a,2350,a(flip),b,2649,a)]. given #2548 (H,wt=13): 2655 K((x * y) \ x,y) = K(y \ 1,y). [para(9(a,1),2652(a,1,2))]. given #2549 (H,wt=17): 2656 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(10(a,1),2655(a,1,1,1)),flip(a)]. given #2550 (H,wt=17): 2658 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [hyper(115,a,2656,a(flip),b,227,a(flip))]. given #2551 (H,wt=18): 2633 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [hyper(34,a,2062,a(flip),b,2627,a),flip(a)]. given #2552 (H,wt=18): 2636 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2627(a,1),43(a,1)),flip(a)]. given #2553 (H,wt=18): 2640 (x * K(y \ 1,y)) * K(y,y \ 1) != z | x = z. [para(2629(a,1),222(a,1,1))]. given #2554 (H,wt=18): 2645 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(34,a,484,a,b,2632,a),flip(a)]. given #2555 (H,wt=17): 2665 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(485,a,2645,a)]. given #2556 (H,wt=17): 2668 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(273,a,2581,a,b,2665,a),flip(a)]. given #2557 (H,wt=18): 2661 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(2155,a,2633,a)]. given #2558 (H,wt=13): 2670 K(x / (y * x),y) = K(y \ 1,y). [hyper(34,a,2086,a,b,2661,a)]. given #2559 (H,wt=17): 2671 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(12(a,1),2670(a,1,1,2)),flip(a)]. given #2560 (H,wt=19): 2621 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2619(a,1),2321(a,1,2))]. given #2561 (H,wt=19): 2623 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(77(a,1),2620(a,2,2,2,1))]. given #2562 (H,wt=19): 2628 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2576(a,1),2626(a,1,1))]. given #2563 (H,wt=19): 2639 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [hyper(62,a,2267,a(flip),b,2629,a),flip(a)]. given #2564 (H,wt=19): 2646 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2632(a,1),2573(a,1,1)),flip(a)]. given #2565 (H,wt=19): 2653 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(116,a,2596,a(flip),b,2647,a)]. given #2566 (H,wt=19): 2657 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(108(a,1),2655(a,1,1,1)),flip(a)]. given #2567 (H,wt=19): 2659 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [para(2656(a,1),1774(a,1,2))]. given #2568 (H,wt=19): 2660 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2656(a,1),2316(a,1,2))]. given #2569 (H,wt=19): 2666 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2645(a,1),191(a,1,2)),flip(a)]. given #2570 (H,wt=17): 2678 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(273,a,2586,a(flip),b,2666,a),flip(a)]. given #2571 (H,wt=19): 2674 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2629(a,1),2639(a,2,2))]. given #2572 (H,wt=10): 2679 R(x,y,K(x \ 1,x)) = x. [hyper(478,a,2674,a)]. given #2573 (H,wt=14): 2680 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1805(a,1),2679(a,1,3))]. given #2574 (H,wt=20): 2563 x * T(y,y \ 1) != z * K(y,y \ 1) | x * y = z. [para(2541(a,1),43(a,1))]. given #2575 (H,wt=20): 2565 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2544(a,1),43(a,1))]. given #2576 (H,wt=20): 2592 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2573(a,1),2583(a,1,1)),flip(a)]. given #2577 (H,wt=20): 2598 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2588(a,1),43(a,1)),flip(a)]. given #2578 (H,wt=20): 2615 L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). [hyper(62,a,2366,a,b,2611,a)]. given #2579 (H,wt=16): 2683 K(x,y) = L(x \ T(x,y),(x \ 1) \ 1,y). [para(74(a,1),2615(a,2,1)),flip(a)]. given #2580 (H,wt=18): 2685 K(x,y) = L(T(x,y) * (x \ 1),(x \ 1) \ 1,y). [para(880(a,2),2683(a,2,1))]. given #2581 (H,wt=20): 2644 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2631(a,1),43(a,1)),flip(a)]. given #2582 (H,wt=20): 2650 (x * y) * K(y \ 1,y) != z | x * (1 / (1 / y)) = z. [para(2642(a,1),225(a,1,2))]. given #2583 (H,wt=20): 2662 (x * (y \ 1)) * K(y,y \ 1) != z | x * (1 / y) = z. [para(2576(a,1),2640(a,1,1))]. given #2584 (H,wt=20): 2663 (x * (1 / (1 / y))) * K(y,y \ 1) != z | x * y = z. [para(2630(a,1),2640(a,1,1))]. given #2585 (H,wt=20): 2664 (x * y) * K(y,y \ 1) != z | x * T(y,y \ 1) = z. [para(2631(a,1),2640(a,1,1))]. given #2586 (H,wt=20): 2681 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(2680(a,1),31(a,1,1)),flip(a)]. given #2587 (H,wt=21): 2557 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(115,a,2555,a(flip),b,934,a),flip(a)]. given #2588 (H,wt=21): 2567 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(11(a,1),2560(a,2,2))]. given #2589 (H,wt=19): 2688 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(273,a,2670,a(flip),b,2567,a),flip(a)]. given #2590 (H,wt=21): 2673 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(11(a,1),2671(a,2,1))]. given #2591 (H,wt=19): 2691 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(273,a,2558,a(flip),b,2673,a),flip(a)]. given #2592 (H,wt=17): 2693 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(62,a,2671,a(flip),b,2691,a)]. given #2593 (H,wt=17): 2694 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2691(a,1),2071(a,1,1))]. given #2594 (H,wt=10): 2699 L(x,y,K(y,y \ 1)) = x. [hyper(1779,a,2694,a(flip))]. given #2595 (H,wt=12): 2702 L(x,1 / y,K(y \ 1,y)) = x. [para(1856(a,1),2699(a,1,3))]. given #2596 (H,wt=14): 2705 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1805(a,1),2702(a,1,3))]. given #2597 (H,wt=14): 2707 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2702(a,1),1917(a,1,1,2))]. given #2598 (H,wt=14): 2711 (1 / x) * (x * y) = L(y,x,x \ 1). [para(9(a,1),2707(a,1,1)),flip(a)]. given #2599 (H,wt=13): 2718 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(558,a,2711,a)]. given #2600 (H,wt=14): 2719 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(122,a,2711,a)]. given #2601 (H,wt=16): 2712 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(22(a,2),2707(a,1,1))]. given #2602 (H,wt=17): 2695 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(554,a,2694,a)]. given #2603 (H,wt=17): 2696 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(287,a,2694,a),flip(a)]. given #2604 (H,wt=17): 2697 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(273,a,270,a(flip),b,2694,a),flip(a)]. given #2605 (H,wt=17): 2698 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(62,a,1943,a(flip),b,2694,a)]. given #2606 (H,wt=17): 2700 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(116,a,2694,a(flip),b,1943,a(flip))]. given #2607 (H,wt=17): 2703 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(62,a,1963,a(flip),b,2702,a)]. given #2608 (H,wt=17): 2704 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(62,a,1771,a(flip),b,2702,a)]. given #2609 (H,wt=17): 2706 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2702(a,1),1770(a,1,2)),flip(a)]. given #2610 (H,wt=15): 2741 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2706(a,1),2286(a,1,2)),flip(a)]. given #2611 (H,wt=17): 2709 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2705(a,1),1846(a,1,2)),flip(a)]. given #2612 (H,wt=17): 2721 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(74(a,1),2718(a,1,3)),flip(a)]. given #2613 (H,wt=17): 2723 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(963,a,2695,a),flip(a)]. given #2614 (H,wt=17): 2724 ((x \ 1) \ 1) \ (K(x,x \ 1) * y) = x \ y. [para(109(a,1),2695(a,1,1))]. given #2615 (H,wt=17): 2725 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [para(2695(a,1),315(a,1,2))]. given #2616 (H,wt=17): 2726 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(62,a,1943,a(flip),b,2697,a)]. given #2617 (H,wt=17): 2732 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(9(a,1),2703(a,1,2)),flip(a)]. given #2618 (H,wt=17): 2734 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2703(a,1),1961(a,1,2))]. given #2619 (H,wt=17): 2737 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(128,a,2706,a)]. given #2620 (H,wt=17): 2744 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1947,a,2709,a),flip(a)]. given #2621 (H,wt=17): 2746 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(109(a,1),2723(a,1,2,1))]. given #2622 (H,wt=17): 2747 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(131,a,2732,a)]. given #2623 (H,wt=17): 2751 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(115,a,10,a(flip),b,2744,a),flip(a)]. given #2624 (H,wt=18): 2710 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(273,a,166,a(flip),b,2707,a),flip(a)]. given #2625 (H,wt=18): 2714 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2707(a,1),578(a,1,2))]. given #2626 (H,wt=18): 2722 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(77(a,1),2719(a,1,2,3))]. given #2627 (H,wt=19): 2733 T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). [para(2703(a,1),1908(a,1,1,2))]. given #2628 (H,wt=19): 2743 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(74(a,1),2741(a,1,2,1)),flip(a)]. given #2629 (H,wt=19): 2754 x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. [hyper(131,a,2733,a(flip))]. given #2630 (H,wt=17): 2755 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(62,a,1911,a,b,2754,a)]. given #2631 (H,wt=17): 2756 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(33,a,1923,a(flip),b,2755,a),flip(a)]. given #2632 (H,wt=15): 2762 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(37,a,2704,a(flip),b,2756,a),flip(a)]. given #2633 (H,wt=15): 2763 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(37,a,2704,a,b,2756,a(flip))]. given #2634 (H,wt=13): 2777 T(x,K(x,x \ 1) * y) = T(x,y). [para(2763(a,1),2286(a,1,2)),flip(a)]. given #2635 (H,wt=15): 2764 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(287,a,2762,a),flip(a)]. given #2636 (H,wt=15): 2765 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(122,a,2762,a)]. given #2637 (H,wt=15): 2779 T(x,T(x,x \ 1) \ y) = T(x,x \ y). [para(2723(a,1),2777(a,1,2)),flip(a)]. given #2638 (H,wt=17): 2757 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(33,a,9,a(flip),b,2755,a),flip(a)]. given #2639 (H,wt=17): 2761 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(131,a,2756,a)]. given #2640 (H,wt=17): 2766 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(33,a,2751,a,b,2762,a),flip(a)]. given #2641 (H,wt=17): 2767 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(33,a,2746,a,b,2762,a),flip(a)]. given #2642 (H,wt=17): 2768 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(33,a,2709,a,b,2762,a),flip(a)]. given #2643 (H,wt=17): 2769 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(33,a,2697,a,b,2762,a),flip(a)]. given #2644 (H,wt=17): 2771 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(115,a,2762,a(flip),b,2725,a),flip(a)]. given #2645 (H,wt=17): 2773 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [para(2706(a,1),2762(a,1,2))]. given #2646 (H,wt=14): 2793 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1948,a,2773,a)]. given #2647 (H,wt=13): 2797 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(902,a,2793,a)]. given #2648 (H,wt=17): 2774 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2762(a,1),2726(a,1,2)),flip(a)]. given #2649 (H,wt=17): 2775 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2762(a,1),2744(a,1,2)),flip(a)]. given #2650 (H,wt=17): 2778 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2763(a,1),2747(a,1,2)),flip(a)]. given #2651 (H,wt=17): 2780 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(273,a,2697,a(flip),b,2764,a),flip(a)]. given #2652 (H,wt=17): 2785 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(273,a,2706,a(flip),b,2765,a),flip(a)]. given #2653 (H,wt=17): 2788 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(115,a,2767,a(flip),b,1056,a(flip)),flip(a)]. given #2654 (H,wt=17): 2789 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [para(9(a,1),2767(a,1,2)),flip(a)]. given #2655 (H,wt=17): 2790 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(287,a,2768,a),flip(a)]. given #2656 (H,wt=17): 2798 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(74(a,1),2797(a,1,2)),flip(a)]. given #2657 (H,wt=18): 2772 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2762(a,1),42(a,1)),flip(a)]. given #2658 (H,wt=18): 2776 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2763(a,1),42(a,1)),flip(a)]. given #2659 (H,wt=18): 2781 K(x,x \ 1) * (K(x \ 1,x) * y) != z | y = z. [para(2764(a,1),288(a,1))]. given #2660 (H,wt=16): 2807 K(x,x \ 1) != y | K(x \ 1,x) \ 1 = y. [para(69(a,1),2781(a,1))]. given #2661 (H,wt=18): 2805 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(544,a,2798,a),flip(a)]. given #2662 (H,wt=19): 2758 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(115,a,2755,a(flip),b,2725,a)]. given #2663 (H,wt=19): 2770 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [hyper(33,a,1942,a,b,2762,a),flip(a)]. given #2664 (H,wt=19): 2804 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(77(a,1),2788(a,2,2,1,1))]. given #2665 (H,wt=20): 2708 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2702(a,1),1773(a,2,2))]. given #2666 (H,wt=20): 2715 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(947(a,1),2707(a,1,1))]. given #2667 (H,wt=20): 2727 ((x \ 1) \ 1) * (x \ y) != z | K(x,x \ 1) * y = z. [para(2697(a,1),287(a,1))]. given #2668 (H,wt=20): 2728 K(x,x \ 1) * (x * y) != z | T(x,x \ 1) * y = z. [para(2697(a,2),632(a,1))]. given #2669 (H,wt=20): 2729 T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. [para(2698(a,1),42(a,1))]. given #2670 (H,wt=20): 2730 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | x = z. [para(2698(a,1),280(a,1,1))]. given #2671 (H,wt=20): 2749 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(2737(a,1),222(a,1,1))]. given #2672 (H,wt=20): 2753 (x \ 1) * y != (1 / x) * z | K(x \ 1,x) * y = z. [para(2747(a,1),42(a,1))]. given #2673 (H,wt=20): 2791 K(x \ 1,x) * y != x * z | ((x \ 1) \ 1) * z = y. [para(2769(a,1),42(a,1)),flip(a)]. given #2674 (H,wt=20): 2794 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2773(a,1),288(a,1,2))]. given #2675 (H,wt=20): 2800 ((x \ 1) \ 1) \ (x * y) != z | K(x \ 1,x) * y = z. [para(2774(a,1),288(a,1,2))]. given #2676 (H,wt=20): 2801 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) != z | y = z. [para(2778(a,2),288(a,1,2))]. given #2677 (H,wt=20): 2803 K(x,x \ 1) * ((x \ 1) * y) != z | (1 / x) * y = z. [para(2785(a,1),225(a,1,2))]. given #2678 (H,wt=20): 2808 K(x,x \ 1) * ((1 / x) \ y) != z | (x \ 1) \ y = z. [para(2703(a,1),2781(a,1,2))]. given #2679 (H,wt=20): 2809 K(x,x \ 1) * (x * y) != z | ((x \ 1) \ 1) * y = z. [para(2769(a,1),2781(a,1,2))]. given #2680 (H,wt=21): 2676 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(22(a,1),2657(a,2,2)),flip(a)]. given #2681 (H,wt=21): 2687 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(273,a,958,a(flip),b,2557,a),flip(a)]. given #2682 (H,wt=21): 2690 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2688(a,1),1777(a,1,1))]. given #2683 (H,wt=16): 2815 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(62,a,2661,a(flip),b,2690,a)]. given #2684 (H,wt=17): 2816 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(193(a,2),2815(a,2,1,1)),flip(a)]. given #2685 (H,wt=21): 2713 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(405(a,1),2707(a,1,1))]. given #2686 (H,wt=21): 2752 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(115,a,77,a(flip),b,2746,a)]. given #2687 (H,wt=21): 2792 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1859(a,1),2771(a,1,2,1))]. given #2688 (H,wt=21): 2819 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2688(a,1),2752(a,1,1))]. given #2689 (H,wt=18): 2820 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2815(a,2),2819(a,2,1)),flip(a)]. given #2690 (H,wt=16): 2821 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(273,a,2780,a(flip),b,2820,a),flip(a)]. given #2691 (H,wt=16): 2823 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(273,a,270,a,b,2821,a),flip(a)]. given #2692 (H,wt=16): 2824 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(176,a,2821,a),flip(a)]. given #2693 (H,wt=16): 2826 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [hyper(176,a,2823,a)]. given #2694 (H,wt=17): 2822 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(556,a,2821,a)]. given #2695 (H,wt=18): 2825 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(77(a,1),2821(a,1,1,1))]. given #2696 (H,wt=14): 2829 R(x,1 / x,y) \ y = (x \ 1) * y. [para(77(a,1),2825(a,2,1,1))]. given #2697 (H,wt=13): 2830 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(556,a,2829,a),flip(a)]. given #2698 (H,wt=19): 2827 (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. [para(2815(a,1),2823(a,1,1))]. given #2699 (H,wt=21): 2832 T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. [para(12(a,1),2827(a,1,1,1,1,2)),flip(a)]. given #2700 (H,wt=19): 2833 (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. [hyper(62,a,270,a(flip),b,2832,a),flip(a)]. given #2701 (H,wt=22): 2618 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(77(a,1),2616(a,1,2))]. given #2702 (H,wt=16): 2834 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(1491(a,1),2618(a,1,1))]. given #2703 (H,wt=15): 2835 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(62,a,774,a(flip),b,2834,a),flip(a)]. given #2704 (H,wt=13): 2837 T(K(1 / (1 / x),y),x) = K(x,y). [para(2835(a,2),198(a,1,1))]. given #2705 (H,wt=15): 2836 K(1 / (1 / x),y) * x = x * K(x,y). [hyper(129,a,2835,a(flip))]. given #2706 (H,wt=17): 2840 (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). [hyper(62,a,1680,a,b,2836,a)]. given #2707 (H,wt=21): 2838 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(236(a,1),2837(a,1,1,1,2))]. given #2708 (H,wt=17): 2841 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(74(a,1),2838(a,1,1,1))]. given #2709 (H,wt=22): 2635 ((x * y) * K(z \ 1,z)) * K(z,z \ 1) != x * u | y = u. [para(2627(a,2),42(a,1))]. given #2710 (H,wt=22): 2641 (x * K(y \ 1,y)) * K(y,y \ 1) != z * u | x / u = z. [para(2629(a,1),376(a,1,1))]. given #2711 (H,wt=22): 2716 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(1132(a,1),2707(a,1,1))]. given #2712 (H,wt=22): 2782 K(x,x \ 1) * (K(x \ 1,x) * y) != z * u | z \ y = u. [para(2764(a,1),285(a,1))]. given #2713 (H,wt=22): 2831 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2830(a,1),1785(a,1,1))]. given #2714 (H,wt=21): 2844 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(62,a,1785,a(flip),b,2831,a),flip(a)]. given #2715 (H,wt=22): 2845 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(62,a,363,a(flip),b,2844,a),flip(a)]. given #2716 (H,wt=23): 2568 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2560(a,1),2009(a,1,1,1))]. given #2717 (H,wt=19): 2847 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [hyper(273,a,2076,a(flip),b,2568,a),flip(a)]. given #2718 (H,wt=23): 2614 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2613(a,1),2351(a,2,1,1))]. given #2719 (H,wt=20): 2849 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2614(a,1),1828(a,1,2))]. given #2720 (H,wt=23): 2669 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1798(a,2),2668(a,1,3))]. given #2721 (H,wt=19): 2851 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(74(a,1),2669(a,2,2))]. given #2722 (H,wt=19): 2853 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(109(a,2),2851(a,1,2))]. given #2723 (H,wt=23): 2742 T((x \ 1) * y,K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). [para(2706(a,1),2374(a,1,1))]. given #2724 (H,wt=23): 2759 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1053(a,1),2755(a,1,2))]. given #2725 (H,wt=23): 2760 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(273,a,2416,a(flip),b,2756,a),flip(a)]. given #2726 (H,wt=23): 2786 T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). [para(306(a,1),2779(a,1,2,1)),flip(a)]. given #2727 (H,wt=23): 2811 K(x,x \ 1) * (x \ L(y,1 / x,x)) != z | (1 / x) * y = z. [para(2793(a,2),2803(a,1,2))]. given #2728 (H,wt=23): 2814 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(62,a,1321,a,b,2687,a)]. given #2729 (H,wt=21): 2855 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(2727,a,2814,a)]. given #2730 (H,wt=21): 2856 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2855(a,1),2760(a,1,2))]. given #2731 (H,wt=23): 2839 (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). [para(2837(a,1),891(a,2,2))]. given #2732 (H,wt=17): 2857 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(2840(a,1),2839(a,1,1,2))]. given #2733 (H,wt=13): 2858 (1 / x) \ K(x,y) = K(x,y) * x. [para(9(a,1),2857(a,1,1)),flip(a)]. given #2734 (H,wt=23): 2854 T((x \ 1) * y,K(x \ 1,x)) = (1 / x) * (y * K(x \ 1,x)). [hyper(273,a,2272,a(flip),b,2742,a),flip(a)]. given #2735 (H,wt=23): 2860 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2858(a,1),2766(a,1,2))]. given #2736 (H,wt=24): 2553 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = R(x,K(x,x \ 1),y). [para(2547(a,1),20(a,2,1,1)),flip(a)]. given #2737 (H,wt=10): 2861 R(x,K(x,x \ 1),y) = x. [hyper(2730,a,2553,a),flip(a)]. given #2738 (H,wt=14): 2863 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1856(a,1),2861(a,1,2))]. given #2739 (H,wt=24): 2593 (x \ 1) * y != z * K(x \ 1,x) | T(z / (1 / x),x \ 1) = y. [para(2579(a,1),213(a,2))]. given #2740 (H,wt=24): 2686 L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). [para(2683(a,2),1027(a,2,2))]. given #2741 (H,wt=13): 2865 K(x,y) / (x \ 1) = x * K(x,y). [para(2685(a,2),2686(a,1,1))]. given #2742 (H,wt=13): 2866 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(129,a,2865,a)]. given #2743 (H,wt=24): 2717 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2707(a,1),2029(a,2,1,2))]. given #2744 (H,wt=23): 2867 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2715(a,1),2717(a,1,2))]. given #2745 (H,wt=21): 2868 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(8(a,1),2867(a,2,1,2))]. given #2746 (H,wt=21): 2869 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1804(a,2),2868(a,2,1))]. given #2747 (H,wt=24): 2787 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * (y * z))) != y * u | z = u. [para(2757(a,2),42(a,1))]. given #2748 (H,wt=24): 2802 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) != z * u | z \ y = u. [para(2778(a,2),285(a,1,2))]. given #2749 (H,wt=24): 2828 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(2824(a,2),110(a,1,1))]. given #2750 (H,wt=24): 2843 K(x,x \ 1) * ((1 / x) \ y) != z * u | z \ ((x \ 1) \ y) = u. [para(2703(a,1),2782(a,1,2))]. given #2751 (H,wt=24): 2850 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2849(a,1),1570(a,2,1,2))]. given #2752 (H,wt=20): 2871 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(273,a,621,a(flip),b,2850,a),flip(a)]. given #2753 (H,wt=20): 2873 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(109(a,1),2871(a,2,1))]. given #2754 (H,wt=19): 2874 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(192(a,1),2873(a,1,2,1))]. given #2755 (H,wt=24): 2870 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(62,a,27,a,b,2828,a)]. given #2756 (H,wt=20): 2877 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2743(a,1),2870(a,1,1))]. given #2757 (H,wt=17): 2878 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(62,a,1411,a(flip),b,2877,a)]. given #2758 (H,wt=17): 2880 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(109(a,2),2878(a,2,1,1)),flip(a)]. given #2759 (H,wt=19): 2879 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(77(a,1),2878(a,2,1,1,1))]. given #2760 (H,wt=25): 2574 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2572(a,1),2449(a,1,1)),flip(a)]. given #2761 (H,wt=25): 2720 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2711(a,1),262(a,1,1))]. given #2762 (H,wt=25): 2736 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2704(a,1),1594(a,1,2,2,1,2))]. given #2763 (H,wt=25): 2813 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2676(a,1),2660(a,1,2)),flip(a)]. given #2764 (H,wt=25): 2875 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [hyper(2433,a,2874,a)]. given #2765 (H,wt=25): 2881 x * ((y \ 1) * (y * T(y \ 1,x))) = T((y \ 1) * x,K(y \ 1,y)). [hyper(273,a,2854,a,b,2574,a),flip(a)]. given #2766 (H,wt=26): 2590 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2582(a,1),1575(a,1,1,2))]. given #2767 (H,wt=19): 2883 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2582(a,1),2590(a,1,2,2))]. given #2768 (H,wt=26): 2603 x * (1 / (1 / (x \ (x / y)))) != z * u | (x / (1 / (1 / y))) / u = z. [para(2600(a,2),284(a,1,2))]. given #2769 (H,wt=24): 2884 (x / y) * K(y,y \ 1) != z * u | (x / (1 / (1 / y))) / u = z. [para(2337(a,2),2603(a,1))]. given #2770 (H,wt=26): 2667 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2072(a,2),2645(a,1,2))]. given #2771 (H,wt=26): 2739 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2706(a,1),507(a,1,1))]. given #2772 (H,wt=19): 2885 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2279(a,1),2739(a,1,2))]. given #2773 (H,wt=26): 2812 K(x,x \ 1) * (((x \ y) / y) * x) != z | (x \ 1) \ ((x \ y) / y) = z. [para(1053(a,1),2808(a,1,2))]. given #2774 (H,wt=27): 2675 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(2078(a,1),2646(a,1,1))]. given #2775 (H,wt=17): 2888 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(273,a,2048,a(flip),b,2675,a),flip(a)]. given #2776 (H,wt=20): 2889 ((x / y) * (y / x)) * ((x / y) \ 1) != z | y / x = z. [para(2675(a,2),2049(a,1))]. given #2777 (H,wt=21): 2890 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(116,a,74,a(flip),b,2888,a),flip(a)]. given #2778 (H,wt=17): 2891 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(74(a,1),2890(a,1,2)),flip(a)]. given #2779 (H,wt=27): 2745 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(260(a,1),2709(a,1,2))]. given #2780 (H,wt=28): 2597 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2587(a,1),821(a,1,1,1))]. given #2781 (H,wt=28): 2795 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2773(a,1),169(a,1,1,2))]. given #2782 (H,wt=28): 2817 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(104(a,1),2815(a,2,1,1,2))]. given #2783 (H,wt=28): 2848 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(193(a,2),2847(a,2,2,2))]. given #2784 (H,wt=22): 2895 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2693(a,1),2848(a,1,1,1))]. given #2785 (H,wt=21): 2896 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [hyper(1848,a,2895,a)]. given #2786 (H,wt=28): 2876 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2874(a,1),2433(a,1))]. given #2787 (H,wt=28): 2898 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2896(a,2),2400(a,1,1))]. given #2788 (H,wt=28): 2899 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [hyper(62,a,27,a,b,2898,a),flip(a)]. given #2789 (H,wt=27): 2900 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [hyper(273,a,2597,a(flip),b,2899,a),flip(a)]. given #2790 (H,wt=25): 2901 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(7(a,1),2900(a,2,2,1))]. given #2791 (H,wt=29): 2748 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1100(a,1),2734(a,1,2)),flip(a)]. given #2792 (H,wt=29): 2783 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2764(a,1),2394(a,1,2,1))]. given #2793 (H,wt=29): 2784 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2764(a,1),2395(a,1,2,1))]. given #2794 (H,wt=29): 2799 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(268(a,2),2797(a,1,2)),flip(a)]. given #2795 (H,wt=29): 2806 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2798(a,1),2510(a,1,2))]. given #2796 (H,wt=28): 2904 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2716(a,1),2806(a,1,2))]. given #2797 (H,wt=24): 2905 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(74(a,1),2904(a,2,1,2,2))]. given #2798 (H,wt=24): 2907 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1804(a,2),2905(a,2,1))]. given #2799 (H,wt=29): 2902 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [para(12(a,1),2783(a,1,2,1,2))]. given #2800 (H,wt=31): 2796 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2773(a,1),453(a,1,2,2))]. given #2801 (H,wt=32): 2738 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2706(a,1),20(a,2,2)),flip(a)]. given #2802 (H,wt=32): 2810 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2770(a,1),2414(a,1,2)),flip(a)]. given #2803 (H,wt=26): 2908 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = K(T(x,y),x \ 1). [hyper(273,a,881,a(flip),b,2810,a),flip(a)]. given #2804 (H,wt=29): 2909 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2810(a,2),882(a,1))]. given #2805 (H,wt=32): 2846 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2845(a,2),89(a,1,2,2))]. given #2806 (H,wt=33): 2617 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(62,a,97,a,b,2616,a)]. given #2807 (H,wt=27): 2910 x \ T((y \ 1) * (x / (y \ 1)),K(y \ 1,y)) = K(1 / y,x / (y \ 1)). [para(2881(a,1),2617(a,1,2))]. given #2808 (H,wt=35): 2677 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(1464(a,1),2657(a,2,1,1))]. given #2809 (H,wt=29): 2911 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(976(a,1),2677(a,2,1))]. given #2810 (H,wt=25): 2912 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(273,a,2348,a(flip),b,2911,a),flip(a)]. given #2811 (H,wt=35): 2750 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1526(a,1),2737(a,1,2))]. given #2812 (H,wt=29): 2913 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(1491(a,1),2750(a,1,2,1))]. given #2813 (H,wt=23): 2914 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(2736(a,1),2913(a,1,1))]. given #2814 (H,wt=23): 2915 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(129,a,2914,a)]. given #2815 (H,wt=30): 2916 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2915(a,1),2413(a,1,2))]. given #2816 (H,wt=14): 2917 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(328,a,2916,a)]. given #2817 (H,wt=15): 2918 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2909,a,2917,a),flip(a)]. given #2818 (H,wt=19): 2921 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),x \ 1). [hyper(62,a,2438,a,b,2918,a)]. given #2819 (H,wt=21): 2922 T(x,y) \ K(T(x,y),x \ 1) = T(1 / (1 / x),y) \ 1. [para(2918(a,1),2437(a,1,2))]. given #2820 (H,wt=21): 2923 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),x \ 1). [hyper(62,a,2419,a,b,2921,a)]. given #2821 (H,wt=22): 2924 T(x * L(x \ 1,T(x,y),1 / x),y) = K(T(x,y),x \ 1). [hyper(62,a,2033,a,b,2923,a)]. given #2822 (H,wt=18): 2926 T(a(T(x,y),1 / x,x),y) = K(T(x,y),x \ 1). [para(2406(a,1),2924(a,1,1))]. given #2823 (H,wt=33): 2927 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ T(K(T(x,y),x \ 1),T(x,y)). [para(2926(a,1),2478(a,1,2,1)),flip(a)]. given #2824 (H,wt=29): 2928 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ K(T(x,y),x \ 1). [para(2143(a,1),2927(a,2,2))]. given #2825 (H,wt=27): 2929 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(1 / (1 / x),y) \ 1. [hyper(273,a,2922,a(flip),b,2928,a),flip(a)]. given #2826 (H,wt=19): 2931 T(1 / (1 / x),y) \ 1 = T(1,T(x,y)) / T(x,y). [para(10(a,1),2929(a,1,1,1)),flip(a)]. given #2827 (H,wt=15): 2933 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(179(a,1),2931(a,2,1))]. given #2828 (H,wt=15): 2934 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(176,a,2933,a)]. given #2829 (H,wt=15): 2936 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(172(a,1),2933(a,1,1,1)),flip(a)]. given #2830 (H,wt=15): 2941 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(171,a,2936,a),flip(a)]. given #2831 (H,wt=15): 2942 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(617,a,2941,a)]. given #2832 (H,wt=15): 2943 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(77(a,1),2941(a,1,1,1)),flip(a)]. given #2833 (H,wt=17): 2938 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(110(a,1),2934(a,1,2,2)),flip(a)]. given #2834 (H,wt=17): 2944 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(110(a,1),2941(a,2,1,1))]. given #2835 (H,wt=19): 2948 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [hyper(245,a,2938,a)]. given #2836 (H,wt=19): 2950 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2938(a,1),108(a,1,2)),flip(a)]. given #2837 (H,wt=19): 2951 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(245,a,2944,a)]. given #2838 (H,wt=19): 2952 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(62,a,426,a(flip),b,2944,a)]. given #2839 (H,wt=15): 2959 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(9(a,1),2952(a,2,1,1))]. given #2840 (H,wt=15): 2960 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [hyper(273,a,109,a,b,2959,a),flip(a)]. given #2841 (H,wt=13): 2961 T(x,y / (y * x)) = T(x,x \ 1). [hyper(62,a,2082,a(flip),b,2960,a)]. given #2842 (H,wt=13): 2963 T(1 / (1 / x),y / (y * x)) = x. [hyper(1759,a,2961,a(flip))]. given #2843 (H,wt=13): 2964 T(1 / (1 / x),(y / x) / y) = x. [para(12(a,1),2963(a,1,2,2))]. given #2844 (H,wt=19): 2953 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2944(a,1),108(a,1,2)),flip(a)]. given #2845 (H,wt=19): 2954 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(9(a,1),2948(a,1,1,2,2,2))]. given #2846 (H,wt=19): 2956 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2599(a,1),2948(a,1,1))]. given #2847 (H,wt=19): 2957 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(9(a,1),2951(a,1,1,2,1,1))]. given #2848 (H,wt=19): 2958 (x * K(y \ x,x \ y)) / y = ((x / y) \ 1) \ 1. [para(2660(a,2),2951(a,1,1))]. given #2849 (H,wt=19): 2965 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2964(a,1),200(a,1,2,2))]. given #2850 (H,wt=19): 2966 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [hyper(62,a,2833,a,b,2953,a)]. given #2851 (H,wt=19): 2969 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(74(a,1),2956(a,1,1,2,2)),flip(a)]. given #2852 (H,wt=19): 2971 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [hyper(176,a,2966,a)]. given #2853 (H,wt=19): 2972 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [hyper(171,a,2969,a),flip(a)]. given #2854 (H,wt=19): 2973 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(9(a,1),2971(a,1,2,2,1,1))]. given #2855 (H,wt=20): 2955 T(1 / (1 / (x / y)),y) != z | 1 / (1 / (y \ x)) = z. [para(2948(a,1),292(a,1,1))]. given #2856 (H,wt=21): 2937 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(1786,a,2934,a)]. given #2857 (H,wt=21): 2949 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(62,a,2901,a(flip),b,2938,a)]. given #2858 (H,wt=17): 2975 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(2949(a,1),1906(a,1,1))]. given #2859 (H,wt=17): 2977 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(2975(a,1),2933(a,1,1)),flip(a)]. given #2860 (H,wt=17): 2978 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [hyper(171,a,2977,a),flip(a)]. given #2861 (H,wt=19): 2976 (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). [para(2975(a,1),108(a,1,2)),flip(a)]. given #2862 (H,wt=19): 2979 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(62,a,2879,a(flip),b,2978,a),flip(a)]. given #2863 (H,wt=21): 2974 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [hyper(131,a,2949,a)]. given #2864 (H,wt=23): 2939 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2934(a,1),1448(a,1,1,1,2))]. given #2865 (H,wt=17): 2981 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(199(a,1),2939(a,1,1))]. given #2866 (H,wt=19): 2983 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2981(a,1),2766(a,1,2))]. given #2867 (H,wt=13): 2984 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(34,a,1914,a,b,2983,a)]. given #2868 (H,wt=9): 2986 T(x,K(y \ 1,y)) = x. [hyper(53,a,2984,a)]. given #2869 (H,wt=9): 2996 T(x,K(y,1 / y)) = x. [para(77(a,1),2986(a,1,2,1))]. given #2870 (H,wt=9): 3001 T(x,K(y,y \ 1)) = x. [para(1805(a,1),2986(a,1,2))]. given #2871 (H,wt=11): 3002 T(x,K(y \ z,z \ y)) = x. [para(2656(a,1),2986(a,1,2))]. given #2872 (H,wt=13): 2989 T((x \ 1) * x,y) = K(x \ 1,x). [para(227(a,1),2984(a,1,1))]. given #2873 (H,wt=13): 3008 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(53,a,3001,a)]. given #2874 (H,wt=15): 2985 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(62,a,1568,a,b,2984,a)]. given #2875 (H,wt=15): 2988 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2984(a,1),108(a,1,2)),flip(a)]. given #2876 (H,wt=15): 3003 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2188,a,2996,a),flip(a)]. given #2877 (H,wt=15): 3007 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2188,a,3001,a),flip(a)]. given #2878 (H,wt=15): 3014 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(3008(a,1),2119(a,1,2)),flip(a)]. given #2879 (H,wt=13): 3063 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(273,a,2547,a(flip),b,3014,a),flip(a)]. given #2880 (H,wt=13): 3064 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(273,a,2545,a(flip),b,3014,a),flip(a)]. given #2881 (H,wt=15): 3015 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2305(a,2),3008(a,1,1))]. given #2882 (H,wt=15): 3019 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2776,a,2988,a)]. given #2883 (H,wt=15): 3032 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(62,a,2763,a(flip),b,2988,a),flip(a)]. given #2884 (H,wt=15): 3041 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [para(2988(a,2),2627(a,1,1))]. given #2885 (H,wt=15): 3050 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2772,a,3007,a)]. given #2886 (H,wt=16): 2987 T(x,y) != K(z \ 1,z) | K(z \ 1,z) = x. [para(2984(a,1),48(a,1)),flip(a)]. given #2887 (H,wt=17): 2993 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(62,a,2854,a(flip),b,2986,a)]. given #2888 (H,wt=17): 2994 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(62,a,2742,a(flip),b,2986,a)]. given #2889 (H,wt=17): 2995 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(212,a,2986,a(flip),b,2881,a),flip(a)]. given #2890 (H,wt=17): 3012 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(115,a,3008,a(flip),b,2118,a)]. given #2891 (H,wt=17): 3018 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2985(a,1),1227(a,1,1))]. given #2892 (H,wt=17): 3020 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(273,a,2631,a(flip),b,2988,a),flip(a)]. given #2893 (H,wt=17): 3021 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(273,a,2624,a(flip),b,2988,a),flip(a)]. given #2894 (H,wt=17): 3022 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(273,a,2576,a(flip),b,2988,a),flip(a)]. given #2895 (H,wt=17): 3023 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(273,a,2575,a(flip),b,2988,a),flip(a)]. given #2896 (H,wt=17): 3027 (1 / (1 / x)) * (x \ y) = y * K(x \ 1,x). [hyper(62,a,2790,a,b,2988,a)]. given #2897 (H,wt=17): 3028 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(62,a,2789,a,b,2988,a)]. given #2898 (H,wt=17): 3029 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(62,a,2734,a,b,2988,a)]. given #2899 (H,wt=15): 3084 T(x / (1 / y),y \ 1) = (1 / y) \ x. [hyper(2593,a,3029,a)]. given #2900 (H,wt=17): 3030 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(62,a,2768,a(flip),b,2988,a),flip(a)]. given #2901 (H,wt=17): 3031 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(62,a,2767,a(flip),b,2988,a),flip(a)]. given #2902 (H,wt=17): 3033 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(62,a,2703,a(flip),b,2988,a),flip(a)]. given #2903 (H,wt=17): 3042 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2988(a,1),2774(a,1,2))]. given #2904 (H,wt=17): 3046 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2984(a,2),2988(a,2,2)),flip(a)]. given #2905 (H,wt=17): 3047 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(2809,a,3007,a),flip(a)]. given #2906 (H,wt=17): 3048 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2808,a,3007,a),flip(a)]. given #2907 (H,wt=17): 3049 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2803,a,3007,a),flip(a)]. given #2908 (H,wt=17): 3051 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2728,a,3007,a),flip(a)]. given #2909 (H,wt=17): 3052 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(273,a,2638,a(flip),b,3007,a),flip(a)]. given #2910 (H,wt=17): 3053 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [hyper(273,a,2637,a(flip),b,3007,a),flip(a)]. given #2911 (H,wt=17): 3054 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(273,a,2588,a(flip),b,3007,a),flip(a)]. given #2912 (H,wt=17): 3055 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(273,a,2541,a(flip),b,3007,a),flip(a)]. given #2913 (H,wt=17): 3056 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(273,a,2540,a(flip),b,3007,a),flip(a)]. given #2914 (H,wt=17): 3059 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(3007(a,2),2544(a,1,1))]. given #2915 (H,wt=17): 3060 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(3007(a,2),2562(a,1,1))]. given #2916 (H,wt=17): 3066 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(3064(a,1),948(a,1,2))]. given #2917 (H,wt=17): 3068 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [hyper(115,a,3019,a(flip),b,2696,a),flip(a)]. given #2918 (H,wt=17): 3071 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(3032(a,1),2573(a,1,1)),flip(a)]. given #2919 (H,wt=17): 3079 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(122,a,2995,a)]. given #2920 (H,wt=13): 3099 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(212,a,3079,a(flip),b,880,a)]. given #2921 (H,wt=13): 3102 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(273,a,109,a,b,3099,a),flip(a)]. given #2922 (H,wt=16): 3103 T(x,T(x \ 1,y)) != z | T(x,x \ 1) = z. [para(3099(a,2),304(a,1))]. given #2923 (H,wt=17): 3094 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(607,a,3066,a)]. given #2924 (H,wt=17): 3097 (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). [para(3007(a,1),3071(a,1,1))]. given #2925 (H,wt=17): 3098 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(273,a,1221,a,b,3079,a)]. given #2926 (H,wt=18): 2990 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2984(a,1),252(a,1,2))]. given #2927 (H,wt=18): 2998 T(x * y,K(z \ 1,z)) != y * u | T(x,y) = u. [para(2986(a,2),213(a,2)),flip(a)]. given #2928 (H,wt=18): 2999 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2986(a,1),252(a,1,2))]. given #2929 (H,wt=18): 3005 K(x,1 / x) * y != z | y * K(x,1 / x) = z. [para(2996(a,1),252(a,1,2))]. given #2930 (H,wt=18): 3009 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(3001(a,1),252(a,1,2))]. given #2931 (H,wt=16): 3106 T(x,x \ 1) != y | x * K(x,x \ 1) = y. [para(1767(a,1),3009(a,1))]. given #2932 (H,wt=18): 3013 x * K(y,y \ 1) != z * x | K(y,y \ 1) = z. [para(3008(a,1),214(a,1,2))]. given #2933 (H,wt=18): 3043 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2988(a,1),2776(a,1))]. given #2934 (H,wt=18): 3061 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(3007(a,2),2636(a,1))]. given #2935 (H,wt=18): 3072 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(3050(a,1),42(a,1)),flip(a)]. given #2936 (H,wt=18): 3100 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3079(a,1),676(a,2,1)),flip(a)]. given #2937 (H,wt=11): 3107 K(1 / x,y) = K(x \ 1,y). [hyper(62,a,2616,a(flip),b,3100,a)]. given #2938 (H,wt=11): 3109 K((x \ 1) \ 1,y) = K(x,y). [para(74(a,1),3107(a,1,1)),flip(a)]. given #2939 (H,wt=11): 3111 K(T(x,x \ 1),y) = K(x,y). [para(109(a,2),3109(a,1,1))]. given #2940 (H,wt=19): 3010 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2188,a,3002,a),flip(a)]. given #2941 (H,wt=19): 3011 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(115,a,3008,a(flip),b,2869,a)]. given #2942 (H,wt=19): 3024 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(273,a,1243,a(flip),b,2988,a),flip(a)]. given #2943 (H,wt=19): 3034 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(57,a,2988,a)]. given #2944 (H,wt=19): 3040 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2988(a,1),2281(a,1,1))]. given #2945 (H,wt=19): 3076 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2575(a,1),2993(a,1,2))]. given #2946 (H,wt=19): 3078 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2994(a,1),2626(a,1,1))]. given #2947 (H,wt=17): 3121 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(2206,a,3078,a),flip(a)]. given #2948 (H,wt=19): 3081 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(3021(a,1),2774(a,1,2))]. given #2949 (H,wt=19): 3082 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(273,a,2630,a(flip),b,3027,a),flip(a)]. given #2950 (H,wt=17): 3124 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(22(a,2),3082(a,1,2))]. given #2951 (H,wt=11): 3125 T(x,1 / (1 / y)) = T(x,y). [hyper(373,a,3124,a),flip(a)]. given #2952 (H,wt=11): 3126 T(x,1 / y) = T(x,y \ 1). [para(74(a,1),3125(a,1,2,2))]. given #2953 (H,wt=11): 3127 T(x,(y \ 1) \ 1) = T(x,y). [para(172(a,1),3125(a,1,2)),flip(a)]. given #2954 (H,wt=11): 3133 T(x,T(y,y \ 1)) = T(x,y). [para(109(a,2),3127(a,1,2))]. given #2955 (H,wt=13): 3134 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1798(a,2),3127(a,1,2))]. given #2956 (H,wt=13): 3140 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(62,a,2841,a(flip),b,3133,a)]. given #2957 (H,wt=9): 3143 T(K(x,y),x) = K(x,y). [hyper(62,a,3111,a(flip),b,3140,a),flip(a)]. given #2958 (H,wt=7): 3144 T(x,K(x,y)) = x. [hyper(53,a,3143,a)]. given #2959 (H,wt=7): 3149 K(x,K(x,y)) = 1. [hyper(54,a,3144,a)]. given #2960 (H,wt=11): 3145 K(x,y) * x = x * K(x,y). [para(3143(a,1),108(a,1,2)),flip(a)]. given #2961 (H,wt=11): 3150 T(T(x,y),K(x,z)) = T(x,y). [para(3144(a,1),23(a,1,1)),flip(a)]. given #2962 (H,wt=9): 3158 K(T(x,y),K(x,z)) = 1. [hyper(54,a,3150,a)]. given #2963 (H,wt=11): 3159 T(K(x,y),T(x,z)) = K(x,y). [hyper(53,a,3150,a)]. given #2964 (H,wt=15): 3130 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3126(a,1),108(a,1,2))]. given #2965 (H,wt=15): 3135 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2299(a,2),3127(a,1,2))]. given #2966 (H,wt=15): 3138 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2941(a,2),3127(a,1,2))]. given #2967 (H,wt=15): 3139 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2943(a,1),3127(a,1,2)),flip(a)]. given #2968 (H,wt=13): 3163 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(273,a,3102,a(flip),b,3139,a),flip(a)]. given #2969 (H,wt=15): 3151 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3144(a,1),209(a,1,2,1)),flip(a)]. given #2970 (H,wt=17): 3137 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2816(a,1),3127(a,1,2)),flip(a)]. given #2971 (H,wt=17): 3141 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3133(a,1),108(a,1,2))]. given #2972 (H,wt=17): 3142 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3133(a,1),608(a,1,2))]. given #2973 (H,wt=17): 3146 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(3143(a,1),210(a,1,2,1)),flip(a)]. given #2974 (H,wt=10): 3169 T(x,L(K(x,y),z,u)) = x. [hyper(213,a,3146,a)]. given #2975 (H,wt=17): 3147 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3143(a,1),211(a,1,2,1)),flip(a)]. given #2976 (H,wt=10): 3172 T(x,R(K(x,y),z,u)) = x. [hyper(213,a,3147,a)]. given #2977 (H,wt=10): 3173 K(x,R(K(x,y),z,u)) = 1. [hyper(54,a,3172,a)]. given #2978 (H,wt=17): 3152 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3144(a,1),210(a,1,2,1)),flip(a)]. given #2979 (H,wt=17): 3153 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3144(a,1),211(a,1,2,1)),flip(a)]. given #2980 (H,wt=12): 3176 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(213,a,3153,a)]. given #2981 (H,wt=17): 3162 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(64(a,2),3130(a,2,2))]. given #2982 (H,wt=18): 3129 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(62,a,714,a(flip),b,3126,a),flip(a)]. given #2983 (H,wt=18): 3161 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3159(a,1),252(a,1,2))]. given #2984 (H,wt=19): 3085 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3030(a,1),2573(a,1,1))]. given #2985 (H,wt=19): 3087 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3031(a,1),2626(a,1,1))]. given #2986 (H,wt=19): 3088 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(3033(a,1),2573(a,1,1))]. given #2987 (H,wt=19): 3093 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2751(a,1),3059(a,1,1))]. given #2988 (H,wt=19): 3112 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2979(a,1),3109(a,1,1)),flip(a)]. given #2989 (H,wt=19): 3113 K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). [hyper(273,a,2660,a(flip),b,3010,a),flip(a)]. given #2990 (H,wt=19): 3114 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(273,a,2335,a(flip),b,3010,a),flip(a)]. given #2991 (H,wt=17): 3178 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(34,a,2974,a(flip),b,3114,a),flip(a)]. given #2992 (H,wt=15): 3180 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(22(a,2),3178(a,1,1))]. given #2993 (H,wt=15): 3182 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(62,a,2309,a,b,3180,a)]. given #2994 (H,wt=15): 3184 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(115,a,3182,a(flip),b,1804,a(flip))]. given #2995 (H,wt=13): 3185 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(62,a,3012,a(flip),b,3184,a)]. given #2996 (H,wt=11): 3189 (T(x,y) \ x) \ x = T(x,y). [hyper(2446,a,3185,a)]. given #2997 (H,wt=11): 3191 x / T(x,y) = T(x,y) \ x. [hyper(176,a,3189,a)]. given #2998 (H,wt=11): 3192 (T(x,y) \ x) * T(x,y) = x. [hyper(131,a,3189,a)]. given #2999 (H,wt=10): 3196 L(x,T(x,y) \ x,x) = x. [hyper(62,a,2171,a,b,3192,a)]. given #3000 (H,wt=13): 3190 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(129,a,3185,a)]. given #3001 (H,wt=13): 3198 (x * y) * T(K(y,x),x) = y * x. [para(3196(a,1),2170(a,1,2)),flip(a)]. given #3002 (H,wt=9): 3201 T(K(x,y),y) = K(x,y). [hyper(264,a,3198,a),flip(a)]. given #3003 (H,wt=7): 3203 T(x,K(y,x)) = x. [hyper(53,a,3201,a)]. given #3004 (H,wt=9): 3207 T(x,K(y,T(x,z))) = x. [hyper(134,a,3203,a)]. given #3005 (H,wt=9): 3216 T(x,y \ T(y,x)) = x. [para(1226(a,1),3203(a,1,2))]. given #3006 (H,wt=10): 3206 T(x,K(y,R(x,z,u))) = x. [hyper(140,a,3203,a)]. given #3007 (H,wt=11): 3202 (x * K(y,x)) / x = K(y,x). [hyper(245,a,3201,a)]. given #3008 (H,wt=11): 3204 K(x,y) * y = y * K(x,y). [para(3201(a,1),108(a,1,2)),flip(a)]. given #3009 (H,wt=11): 3208 T(T(x,y),K(z,x)) = T(x,y). [para(3203(a,1),23(a,1,1)),flip(a)]. given #3010 (H,wt=11): 3217 T(x,x \ ((y * x) / y)) = x. [para(1474(a,1),3203(a,1,2))]. given #3011 (H,wt=11): 3231 T(K(x,y),T(y,z)) = K(x,y). [hyper(53,a,3208,a)]. given #3012 (H,wt=9): 3234 K(K(x,y),T(y,z)) = 1. [hyper(54,a,3231,a)]. given #3013 (H,wt=11): 3236 K(x \ T(x,y),T(y,z)) = 1. [para(1226(a,1),3234(a,1,1))]. given #3014 (H,wt=12): 3225 T(K(x,y),y) != z | K(x,y) = z. [para(3202(a,1),292(a,1,1))]. given #3015 (H,wt=13): 3199 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(212,a,3190,a,b,940,a)]. given #3016 (H,wt=13): 3220 T(x / y,K(z,y \ x)) = x / y. [para(110(a,1),3207(a,1,2,2))]. given #3017 (H,wt=13): 3221 T(x \ T(x,y),y) = x \ T(x,y). [hyper(53,a,3216,a)]. given #3018 (H,wt=14): 3200 T(x,y) \ x != z | x / T(x,y) = z. [para(3190(a,1),1459(a,1))]. given #3019 (H,wt=14): 3209 K(x,y) * y != z | y * K(x,y) = z. [para(3203(a,1),252(a,1,2))]. given #3020 (H,wt=14): 3223 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(3206(a,1),23(a,1,1)),flip(a)]. given #3021 (H,wt=15): 3186 (1 / x) * (T(x,y) \ x) = 1 / T(x,y). [hyper(62,a,3011,a(flip),b,3184,a)]. given #3022 (H,wt=15): 3187 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(62,a,1811,a(flip),b,3184,a)]. given #3023 (H,wt=15): 3188 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(115,a,3184,a(flip),b,3011,a(flip))]. given #3024 (H,wt=15): 3195 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(3191(a,1),1983(a,1,1))]. given #3025 (H,wt=15): 3210 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3203(a,1),209(a,1,2,1)),flip(a)]. given #3026 (H,wt=15): 3222 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3216(a,1),108(a,1,2))]. given #3027 (H,wt=15): 3233 ((x * y) / x) / y = y \ ((x * y) / x). [para(3217(a,1),236(a,1,2))]. given #3028 (H,wt=15): 3237 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(55,a,3236,a)]. given #3029 (H,wt=15): 3238 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(62,a,3018,a,b,3199,a)]. given #3030 (H,wt=15): 3244 x * (((y * x) / y) / x) = (y * x) / y. [hyper(131,a,3233,a(flip))]. given #3031 (H,wt=15): 3246 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(36,a,308,a,b,3238,a)]. given #3032 (H,wt=17): 3211 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3203(a,1),210(a,1,2,1)),flip(a)]. given #3033 (H,wt=12): 3253 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(213,a,3211,a)]. given #3034 (H,wt=17): 3212 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3203(a,1),211(a,1,2,1)),flip(a)]. given #3035 (H,wt=17): 3240 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3187(a,1),2856(a,1,2))]. given #3036 (H,wt=13): 3256 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(62,a,3188,a(flip),b,3240,a),flip(a)]. given #3037 (H,wt=15): 3257 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(62,a,2416,a,b,3256,a)]. given #3038 (H,wt=15): 3259 x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. [para(3256(a,1),69(a,1,2,2))]. given #3039 (H,wt=15): 3263 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(131,a,3257,a)]. given #3040 (H,wt=17): 3243 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(62,a,1192,a,b,3233,a)]. given #3041 (H,wt=13): 3265 T(1 / x,(y * x) / y) = x \ 1. [hyper(212,a,3243,a,b,1169,a)]. given #3042 (H,wt=17): 3249 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(62,a,2912,a(flip),b,3246,a),flip(a)]. given #3043 (H,wt=15): 3268 K(x / y,y / x) = K(y \ x,x \ y). [hyper(62,a,2671,a(flip),b,3249,a)]. given #3044 (H,wt=17): 3250 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3246(a,1),701(a,1,2))]. given #3045 (H,wt=17): 3252 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3246(a,1),2937(a,1,2))]. given #3046 (H,wt=11): 3271 x * (T(x,y) / x) = T(x,y). [hyper(34,a,1928,a,b,3252,a)]. given #3047 (H,wt=11): 3273 T(x,y) / x = x \ T(x,y). [hyper(122,a,3271,a),flip(a)]. given #3048 (H,wt=9): 3278 T(x,x \ T(x,y)) = x. [hyper(35,a,236,a,b,3273,a)]. given #3049 (H,wt=9): 3284 K(x,x \ T(x,y)) = 1. [hyper(54,a,3278,a)]. given #3050 (H,wt=9): 3287 K(x,T(x,y) / x) = 1. [para(3273(a,2),3284(a,1,2))]. given #3051 (H,wt=11): 3274 (x \ T(x,y)) * x = T(x,y). [para(3271(a,1),79(a,1,1,2))]. given #3052 (H,wt=11): 3288 T(1 / x,T(x,y)) = x \ 1. [hyper(115,a,3287,a(flip),b,1487,a),flip(a)]. given #3053 (H,wt=13): 3277 (1 / x) * T(x,y) = x \ T(x,y). [hyper(62,a,1439,a,b,3273,a)]. given #3054 (H,wt=13): 3286 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1226(a,2),3278(a,1,2))]. given #3055 (H,wt=13): 3294 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3288(a,1),218(a,1,1)),flip(a)]. given #3056 (H,wt=15): 3296 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1244,a,3286,a)]. given #3057 (H,wt=15): 3298 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(131,a,3296,a)]. given #3058 (H,wt=16): 3289 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(62,a,1317,a,b,3274,a)]. given #3059 (H,wt=15): 3301 T(x,x / (y * x)) = T(x,x / (x * y)). [para(193(a,1),3289(a,1,2))]. given #3060 (H,wt=16): 3293 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(62,a,1502,a(flip),b,3288,a)]. given #3061 (H,wt=14): 3303 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(199(a,1),3293(a,1,3,2))]. given #3062 (H,wt=16): 3295 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3288(a,1),365(a,2,1))]. given #3063 (H,wt=17): 3269 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(62,a,2560,a,b,3268,a)]. given #3064 (H,wt=17): 3275 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1500,a,3273,a)]. given #3065 (H,wt=18): 3194 T(x,y) \ x != x * z | T(1 / T(x,y),x) = z. [para(3191(a,1),1447(a,1))]. given #3066 (H,wt=18): 3213 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3203(a,1),379(a,1,2,1))]. given #3067 (H,wt=18): 3214 K(x,y) * y != z * u | z \ (y * K(x,y)) = u. [para(3203(a,1),527(a,1,2))]. given #3068 (H,wt=18): 3224 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(62,a,1109,a,b,3202,a)]. given #3069 (H,wt=18): 3239 (1 / x) \ (1 / T(x,y)) != z | T(x,y) \ x = z. [para(3186(a,1),288(a,1,2))]. given #3070 (H,wt=18): 3247 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(3244(a,1),42(a,1))]. given #3071 (H,wt=18): 3276 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1293,a,3273,a),flip(a)]. given #3072 (H,wt=11): 3306 T(x,y \ ((x * y) / x)) = x. [para(3276(a,1),3278(a,1,2))]. given #3073 (H,wt=9): 3307 T(x,T(y,x) \ y) = x. [para(199(a,1),3306(a,1,2,2))]. given #3074 (H,wt=13): 3308 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(53,a,3307,a)]. given #3075 (H,wt=11): 3311 K(K(x,y),T(z,y) \ z) = 1. [para(3308(a,1),2221(a,1,2))]. given #3076 (H,wt=13): 3312 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1226(a,1),3311(a,1,1))]. given #3077 (H,wt=15): 3309 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3307(a,1),108(a,1,2))]. given #3078 (H,wt=15): 3313 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [hyper(115,a,3312,a(flip),b,2319,a),flip(a)]. given #3079 (H,wt=13): 3318 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(273,a,3256,a(flip),b,3313,a),flip(a)]. given #3080 (H,wt=13): 3319 (T(x,y) \ x) \ 1 = x \ T(x,y). [hyper(171,a,3318,a)]. given #3081 (H,wt=15): 3314 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3312(a,1),2658(a,1,2))]. given #3082 (H,wt=18): 3279 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3273(a,1),105(a,1,1))]. given #3083 (H,wt=18): 3310 (T(x,y) \ x) * y != z | y * (T(x,y) \ x) = z. [para(3307(a,1),252(a,1,2))]. given #3084 (H,wt=18): 3322 T(x,y) \ x != z \ 1 | (T(x,y) \ x) \ 1 = z. [para(3314(a,1),47(a,1))]. given #3085 (H,wt=19): 3123 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(12(a,1),3082(a,1,2,2))]. given #3086 (H,wt=19): 3132 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(3126(a,1),1656(a,2,1))]. given #3087 (H,wt=19): 3157 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(3107(a,1),3145(a,2,2))]. given #3088 (H,wt=19): 3164 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3163(a,1),2181(a,1,1))]. given #3089 (H,wt=17): 3326 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(2729,a,3164,a)]. given #3090 (H,wt=19): 3193 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(62,a,1698,a,b,3191,a)]. given #3091 (H,wt=13): 3330 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3193(a,1),2152(a,1,2))]. given #3092 (H,wt=15): 3332 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(53,a,3330,a)]. given #3093 (H,wt=19): 3215 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3203(a,1),414(a,1,2,1,1)),flip(a)]. given #3094 (H,wt=19): 3218 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3203(a,1),2291(a,1,1,1)),flip(a)]. given #3095 (H,wt=11): 3333 (K(x,y) \ y) * K(x,y) = y. [hyper(33,a,86,a(flip),b,3218,a),flip(a)]. given #3096 (H,wt=11): 3334 x / K(y,x) = K(y,x) \ x. [hyper(128,a,3333,a)]. given #3097 (H,wt=18): 3336 x / K(y,x) != z * u | (K(y,x) \ x) / u = z. [para(3333(a,1),277(a,1,1))]. given #3098 (H,wt=18): 3337 x / K(y,x) != z * u | z \ (K(y,x) \ x) = u. [para(3333(a,1),530(a,1,1))]. given #3099 (H,wt=19): 3219 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(3203(a,1),2422(a,1,2,1)),flip(a)]. given #3100 (H,wt=19): 3260 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(110(a,1),3256(a,1,1,2)),flip(a)]. given #3101 (H,wt=17): 3339 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(110(a,1),3260(a,1,1)),flip(a)]. given #3102 (H,wt=19): 3262 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3079(a,1),3256(a,1,1))]. given #3103 (H,wt=19): 3270 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3250(a,2),940(a,1,2))]. given #3104 (H,wt=19): 3285 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3278(a,1),209(a,1,2,1)),flip(a)]. given #3105 (H,wt=19): 3304 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3269(a,1),1777(a,1,1))]. given #3106 (H,wt=19): 3323 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. [para(3314(a,1),2936(a,1,2,1))]. given #3107 (H,wt=19): 3327 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(62,a,270,a(flip),b,3164,a)]. given #3108 (H,wt=19): 3343 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(62,a,2674,a,b,3270,a)]. given #3109 (H,wt=19): 3344 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1007,a,3285,a),flip(a)]. given #3110 (H,wt=19): 3348 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3344(a,2),935(a,1,2))]. given #3111 (H,wt=12): 3349 R(x,x \ T(x,y),T(x,z)) = x. [hyper(689,a,3348,a)]. given #3112 (H,wt=10): 3350 L(x,x \ T(x,y),x) = x. [para(3349(a,1),999(a,1,1))]. given #3113 (H,wt=20): 3025 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(115,a,484,a(flip),b,2988,a)]. given #3114 (H,wt=20): 3044 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2988(a,1),2791(a,1))]. given #3115 (H,wt=20): 3083 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3028(a,1),2805(a,1,1))]. given #3116 (H,wt=20): 3104 x * T(K(y \ 1,y),z) != u | K(y \ 1,y) * x = u. [para(2984(a,2),2990(a,1,2))]. given #3117 (H,wt=20): 3105 (1 / x) \ y != z | ((x \ 1) \ y) * K(x \ 1,x) = z. [para(2703(a,1),2999(a,1))]. given #3118 (H,wt=20): 3154 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3144(a,1),380(a,1,2,1))]. given #3119 (H,wt=20): 3155 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(3144(a,1),381(a,1,2,1))]. given #3120 (H,wt=20): 3175 L(x,y,z) * K(x,u) != w * L(x,y,z) | K(x,u) = w. [para(3152(a,2),43(a,1))]. given #3121 (H,wt=20): 3205 x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). [para(3201(a,1),663(a,1,2,1))]. given #3122 (H,wt=20): 3229 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3204(a,1),104(a,1,2))]. given #3123 (H,wt=20): 3254 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3212(a,1),42(a,1)),flip(a)]. given #3124 (H,wt=20): 3281 x \ T(x,y) != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(3273(a,1),1500(a,1))]. given #3125 (H,wt=20): 3315 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(62,a,1292,a,b,3309,a)]. given #3126 (H,wt=20): 3320 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3276(a,1),3318(a,1,2)),flip(a)]. given #3127 (H,wt=20): 3335 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(3333(a,1),20(a,2,1,1))]. given #3128 (H,wt=21): 3075 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(1856(a,2),2993(a,1,2,2))]. given #3129 (H,wt=21): 3091 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(273,a,2073,a(flip),b,3055,a),flip(a)]. given #3130 (H,wt=17): 3352 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(2812,a,3091,a)]. given #3131 (H,wt=21): 3101 L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. [para(3079(a,1),678(a,1,1))]. given #3132 (H,wt=14): 3353 K(1 / x,y) != z | K(x \ 1,y) = z. [para(2616(a,1),3101(a,1))]. given #3133 (H,wt=14): 3354 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(74(a,1),3353(a,1,1))]. given #3134 (H,wt=21): 3110 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2876,a,3109,a)]. given #3135 (H,wt=21): 3166 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(2822(a,2),3137(a,2,2)),flip(a)]. given #3136 (H,wt=21): 3181 ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). [para(3178(a,1),2659(a,1,2))]. given #3137 (H,wt=21): 3248 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1193(a,1),3244(a,1,2))]. given #3138 (H,wt=21): 3251 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3246(a,1),2813(a,2,2))]. given #3139 (H,wt=21): 3292 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3274(a,1),482(a,1,1,1))]. given #3140 (H,wt=21): 3316 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3309(a,1),1681(a,1,2,1))]. given #3141 (H,wt=21): 3340 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(9(a,1),3339(a,1,1,2)),flip(a)]. given #3142 (H,wt=17): 3359 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(9(a,1),3340(a,1,1)),flip(a)]. given #3143 (H,wt=17): 3360 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(176,a,3359,a)]. given #3144 (H,wt=18): 3361 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(62,a,3320,a,b,3360,a)]. given #3145 (H,wt=20): 3362 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(115,a,3361,a(flip),b,940,a),flip(a)]. given #3146 (H,wt=17): 3364 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3362(a,1),3063(a,1,2))]. given #3147 (H,wt=15): 3365 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(199(a,1),3364(a,1,2,2,1))]. given #3148 (H,wt=20): 3363 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(199(a,1),3361(a,2,1))]. given #3149 (H,wt=15): 3367 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3315(a,1),3363(a,1,1))]. given #3150 (H,wt=15): 3368 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(176,a,3367,a)]. given #3151 (H,wt=15): 3369 (x * (T(y,x) \ y)) * (y \ T(y,x)) = x. [hyper(131,a,3367,a)]. given #3152 (H,wt=21): 3347 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3343(a,1),2993(a,1,2)),flip(a)]. given #3153 (H,wt=21): 3355 (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). [para(3181(a,2),2976(a,1,1))]. given #3154 (H,wt=13): 3372 T(x,(x * y) \ y) = (x \ 1) \ 1. [hyper(212,a,3355,a(flip),b,2544,a(flip))]. given #3155 (H,wt=15): 3374 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(12(a,1),3372(a,1,2,1))]. given #3156 (H,wt=17): 3375 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(9(a,1),3374(a,1,2))]. given #3157 (H,wt=17): 3377 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(273,a,2973,a,b,3375,a),flip(a)]. given #3158 (H,wt=17): 3378 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(109(a,2),3377(a,2,2,2)),flip(a)]. given #3159 (H,wt=17): 3379 T(x / (x * y),y) \ x = x * T(y,y \ 1). [hyper(171,a,3378,a)]. given #3160 (H,wt=21): 3358 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3309(a,1),3316(a,2,1))]. given #3161 (H,wt=17): 3380 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3367(a,1),3358(a,1,2)),flip(a)]. given #3162 (H,wt=22): 3038 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2988(a,2),310(a,1,1))]. given #3163 (H,wt=22): 3045 K(x,x \ 1) * (y * K(x \ 1,x)) != z * u | z \ y = u. [para(2988(a,1),2782(a,1,2))]. given #3164 (H,wt=22): 3067 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(3015(a,1),2373(a,1,1))]. given #3165 (H,wt=12): 3382 T(x,L(K(y,y \ 1),y,z)) = x. [para(3067(a,2),2986(a,1,2))]. given #3166 (H,wt=22): 3116 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(3024(a,1),2999(a,1))]. given #3167 (H,wt=22): 3179 x * (1 / (1 / (x \ y))) != z * y | K(y \ x,x \ y) = z. [para(3114(a,1),43(a,1))]. given #3168 (H,wt=22): 3228 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(3202(a,1),821(a,1,1,1)),flip(a)]. given #3169 (H,wt=22): 3230 (K(x,y) * (y * z)) * a(K(x,y),y,z) = (y * K(x,y)) * z. [para(3204(a,1),83(a,2,1))]. given #3170 (H,wt=22): 3232 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3208(a,1),379(a,1,2,1))]. given #3171 (H,wt=22): 3242 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3222(a,1),959(a,1,2,2))]. given #3172 (H,wt=22): 3261 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1337(a,1),3256(a,1,1,2)),flip(a)]. given #3173 (H,wt=18): 3384 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(9(a,1),3261(a,2,1))]. given #3174 (H,wt=22): 3290 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3274(a,1),18(a,2,1)),flip(a)]. given #3175 (H,wt=21): 3386 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3290(a,1),959(a,1,2)),flip(a)]. given #3176 (H,wt=21): 3387 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(10(a,1),3386(a,1,1)),flip(a)]. given #3177 (H,wt=22): 3291 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3274(a,1),94(a,1,1))]. given #3178 (H,wt=22): 3346 T(x,y) \ x != z * K(x \ 1,x) | x * (1 / T(x,y)) = z. [para(3343(a,1),43(a,1))]. given #3179 (H,wt=22): 3351 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3029(a,2),3083(a,1,1))]. given #3180 (H,wt=23): 2967 (x \ y) * ((((x \ y) \ y) \ 1) \ 1) = ((x \ 1) \ 1) * (x \ y). [para(74(a,1),2953(a,1,1,1,1)),flip(a)]. given #3181 (H,wt=21): 3389 (x \ y) * ((((x \ y) \ y) \ 1) \ 1) = K(x,x \ 1) * y. [hyper(273,a,2725,a(flip),b,2967,a),flip(a)]. given #3182 (H,wt=17): 3390 K((x \ y) \ y,y \ (x \ y)) = K(x,x \ 1). [hyper(34,a,3113,a,b,3389,a(flip))]. given #3183 (H,wt=21): 3392 (x * K(y,y \ 1)) / (y \ x) = ((x / (y \ x)) \ 1) \ 1. [para(3390(a,1),2958(a,1,1,2))]. given #3184 (H,wt=21): 3393 ((x / (y \ x)) \ 1) \ 1 = (z * K(y,y \ 1)) / (y \ z). [para(163(a,1),3392(a,2,1,1)),flip(a)]. given #3185 (H,wt=23): 3086 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2656(a,1),3030(a,1,2))]. given #3186 (H,wt=23): 3089 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [para(2316(a,1),3042(a,1,2))]. given #3187 (H,wt=23): 3108 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(62,a,1665,a(flip),b,3107,a),flip(a)]. given #3188 (H,wt=23): 3122 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(74(a,1),3081(a,2,2))]. given #3189 (H,wt=19): 3397 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(33,a,3089,a,b,3122,a),flip(a)]. given #3190 (H,wt=23): 3174 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3172(a,1),210(a,1,2,1))]. given #3191 (H,wt=23): 3283 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3273(a,1),2249(a,1,1,2))]. given #3192 (H,wt=23): 3317 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3309(a,1),1989(a,1,1,2,1))]. given #3193 (H,wt=23): 3325 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(3157(a,1),2860(a,1,2))]. given #3194 (H,wt=17): 3400 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(2749,a,3325,a)]. given #3195 (H,wt=19): 3401 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3400(a,1),2866(a,1,1))]. given #3196 (H,wt=23): 3396 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3126(a,1),3108(a,2,1,1))]. given #3197 (H,wt=23): 3398 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3273(a,1),3283(a,2,2,1,2))]. given #3198 (H,wt=23): 3399 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(273,a,3309,a(flip),b,3317,a),flip(a)]. given #3199 (H,wt=19): 3404 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3367(a,1),3399(a,1,1,2))]. given #3200 (H,wt=15): 3405 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(33,a,3398,a(flip),b,3404,a(flip))]. given #3201 (H,wt=15): 3406 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [hyper(131,a,3405,a)]. given #3202 (H,wt=18): 3407 (x * (y \ T(y,x))) * (T(y,x) \ y) != z | x = z. [para(3405(a,1),225(a,1,2))]. given #3203 (H,wt=24): 3177 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2761(a,1),3129(a,1,1,1))]. given #3204 (H,wt=22): 3408 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(3060(a,1),3177(a,1,1))]. given #3205 (H,wt=24): 3226 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3202(a,1),492(a,1,1)),flip(a)]. given #3206 (H,wt=24): 3227 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3202(a,1),567(a,1,1,1))]. given #3207 (H,wt=24): 3280 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3273(a,1),492(a,1,1))]. given #3208 (H,wt=24): 3356 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(3248(a,1),42(a,1))]. given #3209 (H,wt=24): 3371 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3347(a,1),1734(a,1,1)),flip(a)]. given #3210 (H,wt=22): 3411 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3190(a,1),3371(a,1,1)),flip(a)]. given #3211 (H,wt=24): 3376 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(3374(a,1),2589(a,1,1)),flip(a)]. given #3212 (H,wt=24): 3391 (x \ y) * ((((x \ y) \ y) \ 1) \ 1) != z * y | K(x,x \ 1) = z. [para(3389(a,2),43(a,1))]. given #3213 (H,wt=24): 3410 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(417(a,1),3280(a,2,1))]. given #3214 (H,wt=25): 2945 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2941(a,2),2543(a,1,2))]. given #3215 (H,wt=25): 2947 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2942(a,2),2625(a,1,2))]. given #3216 (H,wt=21): 3413 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3246(a,1),2947(a,2,2))]. given #3217 (H,wt=21): 3414 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(109(a,1),3413(a,1,2,1))]. given #3218 (H,wt=21): 3416 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [hyper(129,a,3414,a)]. given #3219 (H,wt=24): 3417 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) != u | x * T(y,z) = u. [para(3414(a,1),222(a,1,1))]. given #3220 (H,wt=25): 3120 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(273,a,2986,a,b,3076,a)]. given #3221 (H,wt=21): 3418 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3120(a,1),2910(a,1,2))]. given #3222 (H,wt=25): 3258 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(27(a,2),3256(a,1,1,2))]. given #3223 (H,wt=25): 3297 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3294(a,1),1563(a,1,1,2)),flip(a)]. given #3224 (H,wt=23): 3421 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1661(a,1),3297(a,1,1))]. given #3225 (H,wt=21): 3422 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(108(a,1),3421(a,2,1))]. given #3226 (H,wt=19): 3423 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(273,a,2989,a(flip),b,3422,a),flip(a)]. given #3227 (H,wt=19): 3425 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3423(a,1),1667(a,1,1)),flip(a)]. given #3228 (H,wt=15): 3426 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(273,a,3238,a(flip),b,3425,a),flip(a)]. given #3229 (H,wt=15): 3429 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3426(a,1),3423(a,1,1))]. given #3230 (H,wt=13): 3431 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(107(a,1),3429(a,1,1,1))]. given #3231 (H,wt=18): 3427 K(x \ 1,x) / T(x,y) != z | T(x,y) \ 1 = z. [para(3425(a,1),383(a,1))]. given #3232 (H,wt=25): 3324 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(74(a,1),3132(a,1,1,2)),flip(a)]. given #3233 (H,wt=25): 3341 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1144(a,1),3262(a,1,1)),flip(a)]. given #3234 (H,wt=25): 3342 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1154(a,2),3262(a,1,1)),flip(a)]. given #3235 (H,wt=9): 3439 T(x,K(y,x) \ 1) = x. [para(3342(a,1),3307(a,1,2))]. given #3236 (H,wt=14): 3438 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3342(a,1),3303(a,1,3))]. given #3237 (H,wt=15): 3440 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3439(a,1),108(a,1,2))]. given #3238 (H,wt=23): 3441 (K(x,y) \ y) / (K(x,y) \ 1) = (K(x,y) \ 1) \ (K(x,y) \ y). [para(3439(a,1),890(a,1,1,2))]. given #3239 (H,wt=24): 3442 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3440(a,1),192(a,2,1)),flip(a)]. given #3240 (H,wt=17): 3443 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(273,a,3438,a(flip),b,3442,a),flip(a)]. given #3241 (H,wt=25): 3394 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2311(a,1),3086(a,1,2))]. given #3242 (H,wt=25): 3420 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(27(a,2),3258(a,2,1))]. given #3243 (H,wt=25): 3446 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1866(a,1),3420(a,1,1)),flip(a)]. given #3244 (H,wt=26): 2980 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2711(a,1),2979(a,1,1,1,1))]. given #3245 (H,wt=26): 3057 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(3007(a,2),20(a,2,2)),flip(a)]. given #3246 (H,wt=26): 3069 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(3019(a,1),96(a,2,2))]. given #3247 (H,wt=26): 3070 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3032(a,1),105(a,2,1))]. given #3248 (H,wt=26): 3080 (x \ 1) \ T(x \ 1,y) != T(x \ 1,y) * z | T(x,T(x \ 1,y)) = z. [para(2995(a,1),369(a,1,2))]. given #3249 (H,wt=26): 3171 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(735,a,3147,a),flip(a)]. given #3250 (H,wt=26): 3241 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(3195(a,1),96(a,2,1)),flip(a)]. given #3251 (H,wt=26): 3264 (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). [hyper(251,a,3259,a)]. given #3252 (H,wt=14): 3449 R(x,y \ T(y,x),T(y,x) \ y) = x. [hyper(3407,a,3264,a),flip(a)]. given #3253 (H,wt=26): 3266 x \ ((y * x) / y) != ((y * x) / y) * z | T(1 / x,(y * x) / y) = z. [para(3243(a,1),213(a,2)),flip(a)]. given #3254 (H,wt=26): 3282 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(3273(a,1),1211(a,2,2,1))]. given #3255 (H,wt=26): 3395 (((x \ y) \ 1) \ 1) * z != (x \ y) * x | y * (((y \ x) \ 1) \ 1) = z. [para(3089(a,1),42(a,1)),flip(a)]. given #3256 (H,wt=26): 3403 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(3398(a,2),42(a,1))]. given #3257 (H,wt=26): 3447 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(3007(a,2),3057(a,1,1))]. given #3258 (H,wt=26): 3451 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(3222(a,1),3282(a,2,2))]. given #3259 (H,wt=25): 3452 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [hyper(273,a,228,a(flip),b,3451,a),flip(a)]. given #3260 (H,wt=23): 3453 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(3243(a,1),3452(a,1,1))]. given #3261 (H,wt=22): 3454 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [hyper(62,a,980,a(flip),b,3453,a)]. given #3262 (H,wt=18): 3455 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(10(a,1),3454(a,1,1,2)),flip(a)]. given #3263 (H,wt=18): 3456 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(3273(a,1),3455(a,2,1))]. given #3264 (H,wt=16): 3457 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [hyper(273,a,3221,a(flip),b,3456,a),flip(a)]. given #3265 (H,wt=17): 3458 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [hyper(116,a,3457,a(flip),b,228,a)]. given #3266 (H,wt=14): 3459 R(1 / x,x,y \ T(y,x)) = 1 / x. [hyper(393,a,3458,a)]. given #3267 (H,wt=16): 3460 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(674(a,1),3459(a,1,3))]. given #3268 (H,wt=12): 3461 R(1 / x,x,K(y,x)) = 1 / x. [para(1150(a,2),3460(a,1,3))]. given #3269 (H,wt=13): 3462 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(62,a,193,a(flip),b,3461,a)]. given #3270 (H,wt=13): 3463 (1 / x) \ K(y,x) = x * K(y,x). [para(3461(a,1),362(a,1,1))]. given #3271 (H,wt=13): 3464 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(129,a,3462,a)]. given #3272 (H,wt=16): 3467 x \ K(y,z) != z * K(y,z) | 1 / z = x. [para(3463(a,1),47(a,1)),flip(a)]. given #3273 (H,wt=17): 3465 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(35,a,163,a,b,3462,a),flip(a)]. given #3274 (H,wt=19): 3466 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(3105,a,3463,a)]. given #3275 (H,wt=17): 3470 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3044,a,3466,a)]. given #3276 (H,wt=19): 3468 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3463(a,1),2734(a,1,2)),flip(a)]. given #3277 (H,wt=22): 3469 K(x \ 1,x) * K(y,x) != z | (x \ 1) * (x * K(y,x)) = z. [para(3464(a,1),2749(a,1,2))]. given #3278 (H,wt=22): 3471 x * K(y \ 1,y) != y * K(z,y) | (y \ 1) \ K(z,y) = x. [para(3466(a,1),43(a,1)),flip(a)]. given #3279 (H,wt=27): 2946 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2941(a,2),2758(a,1,1))]. given #3280 (H,wt=27): 3092 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(3055(a,1),2784(a,1,2,1))]. given #3281 (H,wt=27): 3165 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(3163(a,1),2389(a,1,1,1))]. given #3282 (H,wt=24): 3472 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1370(a,1),3165(a,2,1))]. given #3283 (H,wt=24): 3474 R(T(x,x \ 1),y,z) \ R(x,y,z) = x * T(x \ 1,R(x,y,z)). [hyper(273,a,417,a(flip),b,3472,a),flip(a)]. given #3284 (H,wt=27): 3235 T((T(x,y) \ K(z,x)) * T(x,y),T(x,y)) = (T(x,y) \ K(z,x)) * T(x,y). [para(3231(a,1),1516(a,2,1,2))]. given #3285 (H,wt=27): 3366 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1148(a,1),3365(a,1,2,2,2))]. given #3286 (H,wt=13): 3476 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3110(a,1),3366(a,1,2,2))]. given #3287 (H,wt=15): 3477 T(x,x \ K(y,x)) = x * K(x,x \ 1). [hyper(273,a,2547,a,b,3476,a),flip(a)]. given #3288 (H,wt=15): 3478 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3476(a,1),236(a,1,2))]. given #3289 (H,wt=17): 3480 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3478(a,1),2564(a,1,1))]. given #3290 (H,wt=17): 3481 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3478(a,1),2643(a,1,1)),flip(a)]. given #3291 (H,wt=17): 3482 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3480(a,1),2260(a,1,2)),flip(a)]. given #3292 (H,wt=18): 3479 T(x,x \ K(y,x)) != x * z | K(x,x \ 1) = z. [para(3477(a,2),42(a,1))]. given #3293 (H,wt=27): 3475 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3472(a,2),626(a,1))]. given #3294 (H,wt=28): 3035 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2988(a,2),466(a,1,2))]. given #3295 (H,wt=28): 3058 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(3007(a,2),466(a,1,2))]. given #3296 (H,wt=28): 3321 R(x,T(y,z) \ y,(T(y,z) \ y) \ 1) = (x * (T(y,z) \ y)) * (y \ T(y,z)). [para(3319(a,1),232(a,1,2)),flip(a)]. given #3297 (H,wt=26): 3483 (x * (T(y,z) \ y)) * (y \ T(y,z)) = R(x,T(y,z) \ y,y \ T(y,z)). [para(3319(a,1),3321(a,1,3)),flip(a)]. given #3298 (H,wt=14): 3484 R(x,T(y,x) \ y,y \ T(y,x)) = x. [hyper(62,a,3369,a(flip),b,3483,a),flip(a)]. given #3299 (H,wt=22): 3485 R((x * y) / x,T(z,y) \ z,z \ T(z,y)) = (x * y) / x. [para(3484(a,1),764(a,2,1,2))]. given #3300 (H,wt=23): 3486 (((x * y) / x) * (T(z,y) \ z)) * (z \ T(z,y)) = (x * y) / x. [hyper(62,a,3483,a,b,3485,a)]. given #3301 (H,wt=26): 3487 (x * y) / x != z * (u \ T(u,y)) | ((x * y) / x) * (T(u,y) \ u) = z. [para(3486(a,1),43(a,1))]. given #3302 (H,wt=28): 3448 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(108(a,2),3171(a,2,1,1,1))]. given #3303 (H,wt=29): 3062 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(3007(a,1),2902(a,1,2,1))]. given #3304 (H,wt=29): 3096 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(2745(a,1),3071(a,1,1))]. given #3305 (H,wt=29): 3115 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1277(a,1),3024(a,2,2))]. given #3306 (H,wt=29): 3381 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(743,a,3038,a)]. given #3307 (H,wt=22): 3489 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(3025(a,1),3381(a,1,1,2))]. given #3308 (H,wt=20): 3490 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2586(a,1),3489(a,1,1))]. given #3309 (H,wt=29): 3402 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(89(a,2),3401(a,1,1,2))]. given #3310 (H,wt=27): 3491 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3418(a,1),3402(a,1,1,2))]. given #3311 (H,wt=19): 3492 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(62,a,3401,a(flip),b,3491,a),flip(a)]. given #3312 (H,wt=19): 3493 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(11(a,1),3492(a,1,2)),flip(a)]. given #3313 (H,wt=19): 3494 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1555(a,1),3493(a,1,2))]. given #3314 (H,wt=17): 3495 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2647(a,1),3494(a,1,2))]. given #3315 (H,wt=19): 3496 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3047(a,1),3495(a,1,2))]. given #3316 (H,wt=29): 3445 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1807(a,1),3394(a,1,2))]. given #3317 (H,wt=29): 3497 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2605(a,1),3445(a,2,1,2))]. given #3318 (H,wt=25): 3498 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(273,a,166,a(flip),b,3497,a),flip(a)]. given #3319 (H,wt=30): 2968 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(105(a,2),2953(a,1,1,1,1))]. given #3320 (H,wt=30): 3167 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3141(a,1),2480(a,2,1))]. given #3321 (H,wt=22): 3500 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(197(a,1),3167(a,2,1))]. given #3322 (H,wt=19): 3501 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(273,a,337,a(flip),b,3500,a),flip(a)]. given #3323 (H,wt=23): 3504 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3501(a,1),260(a,1,2)),flip(a)]. given #3324 (H,wt=21): 3505 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(273,a,8,a(flip),b,3504,a),flip(a)]. given #3325 (H,wt=24): 3506 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3505(a,1),280(a,1,1))]. given #3326 (H,wt=17): 3507 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3506,a,2499,a)]. given #3327 (H,wt=19): 3508 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(115,a,3507,a(flip),b,2193,a)]. given #3328 (H,wt=21): 3509 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(77(a,1),3507(a,1,2))]. given #3329 (H,wt=19): 3510 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1030(a,1),3509(a,1,1))]. given #3330 (H,wt=21): 3511 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1378(a,1),3510(a,1,1)),flip(a)]. given #3331 (H,wt=30): 3170 R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(3146(a,1),1814(a,2,1))]. given #3332 (H,wt=30): 3331 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3193(a,1),2591(a,1,1,2)),flip(a)]. given #3333 (H,wt=29): 3513 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(273,a,3411,a(flip),b,3331,a),flip(a)]. given #3334 (H,wt=21): 3514 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3193(a,1),3513(a,1,1))]. given #3335 (H,wt=30): 3373 ((x * y) \ y) * z != (((x * y) \ y) * K(x,x \ 1)) * x | T(x,(x * y) \ y) = z. [para(3355(a,2),213(a,2))]. given #3336 (H,wt=30): 3512 L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(29(a,1),3170(a,1,1))]. given #3337 (H,wt=31): 3037 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2988(a,1),697(a,1,2))]. given #3338 (H,wt=31): 3245 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(776(a,1),3233(a,1,1)),flip(a)]. given #3339 (H,wt=27): 3515 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(776(a,1),3245(a,1,2)),flip(a)]. given #3340 (H,wt=24): 3516 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(62,a,1864,a(flip),b,3515,a),flip(a)]. given #3341 (H,wt=31): 3412 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(237(a,1),2945(a,1,1)),flip(a)]. given #3342 (H,wt=31): 3517 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2941(a,2),3412(a,2,2,1))]. given #3343 (H,wt=29): 3518 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(273,a,209,a(flip),b,3517,a),flip(a)]. given #3344 (H,wt=25): 3519 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3182(a,1),3518(a,1,2))]. given #3345 (H,wt=21): 3520 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3182(a,1),3519(a,1,2))]. given #3346 (H,wt=27): 3523 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3520(a,1),3075(a,1,2))]. given #3347 (H,wt=23): 3524 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(77(a,1),3523(a,1,2,1,1,1))]. given #3348 (H,wt=21): 3525 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(33,a,2747,a,b,3524,a)]. given #3349 (H,wt=23): 3526 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3525(a,1),2774(a,1,2))]. given #3350 (H,wt=32): 3073 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(3050(a,1),96(a,2,1))]. given #3351 (H,wt=32): 3388 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(62,a,2026,a,b,3291,a)]. given #3352 (H,wt=28): 3527 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3387(a,1),3388(a,1,1))]. given #3353 (H,wt=26): 3528 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(769,a,3527,a)]. given #3354 (H,wt=22): 3529 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(9(a,1),3528(a,1,1)),flip(a)]. given #3355 (H,wt=15): 3530 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(115,a,3350,a(flip),b,3529,a)]. given #3356 (H,wt=22): 3532 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3276(a,1),3530(a,1,1)),flip(a)]. given #3357 (H,wt=19): 3533 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3361(a,1),3532(a,1,2)),flip(a)]. given #3358 (H,wt=21): 3534 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(199(a,1),3533(a,1,1,2)),flip(a)]. given #3359 (H,wt=15): 3535 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(199(a,1),3534(a,1,2,1)),flip(a)]. given #3360 (H,wt=15): 3536 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [hyper(131,a,3535,a)]. given #3361 (H,wt=24): 3531 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1337(a,1),3530(a,1,1,2)),flip(a)]. given #3362 (H,wt=20): 3537 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(9(a,1),3531(a,2,1))]. given #3363 (H,wt=13): 3539 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3384(a,1),3537(a,1,2))]. given #3364 (H,wt=32): 3437 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3431(a,1),901(a,1,1,2))]. given #3365 (H,wt=33): 2940 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2934(a,1),2703(a,2,1))]. given #3366 (H,wt=29): 3541 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1805(a,1),2940(a,1,1))]. given #3367 (H,wt=25): 3543 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3182(a,1),3541(a,1,1))]. given #3368 (H,wt=21): 3544 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(77(a,1),3543(a,1,2,1))]. given #3369 (H,wt=21): 3546 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(3009,a,3544,a)]. given #3370 (H,wt=23): 3548 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3544(a,1),2726(a,1,2)),flip(a)]. given #3371 (H,wt=25): 3549 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1807(a,1),3546(a,1,2))]. given #3372 (H,wt=21): 3550 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(74(a,1),3549(a,2,1,1,2))]. given #3373 (H,wt=21): 3552 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(3043,a,3550,a)]. given #3374 (H,wt=21): 3553 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(9(a,1),3552(a,1,2)),flip(a)]. given #3375 (H,wt=21): 3554 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [hyper(131,a,3553,a)]. given #3376 (H,wt=23): 3556 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2755(a,1),3554(a,1,2)),flip(a)]. given #3377 (H,wt=23): 3557 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3556(a,1),936(a,1,2))]. given #3378 (H,wt=23): 3558 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(116,a,3557,a(flip),b,3524,a(flip))]. given #3379 (H,wt=29): 3555 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1923(a,2),3554(a,1,2))]. given #3380 (H,wt=27): 3559 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2792(a,1),3555(a,1,2))]. given #3381 (H,wt=29): 3560 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(109(a,2),3559(a,1,2,1))]. given #3382 (H,wt=33): 3090 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2934(a,1),3053(a,1,2,2))]. given #3383 (H,wt=29): 3561 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1856(a,1),3090(a,1,1))]. given #3384 (H,wt=25): 3562 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3246(a,1),3561(a,1,1))]. given #3385 (H,wt=21): 3563 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(77(a,1),3562(a,2,2))]. given #3386 (H,wt=23): 3567 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3563(a,1),2774(a,1,2))]. given #3387 (H,wt=33): 3299 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1063(a,1),3296(a,1,1,1,1))]. given #3388 (H,wt=31): 3568 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1063(a,1),3299(a,2,1))]. given #3389 (H,wt=34): 3036 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2988(a,2),585(a,1,1))]. given #3390 (H,wt=27): 3569 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(3037,a,3036,a),flip(a)]. given #3391 (H,wt=34): 3118 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) = a(x,y,z * K(u \ 1,u)). [hyper(115,a,3034,a,b,83,a)]. given #3392 (H,wt=34): 3328 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3164(a,1),613(a,1,1))]. given #3393 (H,wt=30): 3570 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3526(a,1),3328(a,1,2))]. given #3394 (H,wt=24): 3571 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3570(a,1),453(a,1))]. given #3395 (H,wt=34): 3338 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(3219(a,1),2526(a,2,1))]. given #3396 (H,wt=35): 2893 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2891(a,1),1202(a,1,2,1,2))]. given #3397 (H,wt=23): 3572 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(9(a,1),2893(a,1,2,1)),flip(a)]. given #3398 (H,wt=35): 2894 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2817(a,1),487(a,1,1))]. given #3399 (H,wt=35): 3574 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(62,a,2953,a(flip),b,2894,a)]. given #3400 (H,wt=36): 2682 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1583(a,1),2592(a,2,1))]. given #3401 (H,wt=30): 3575 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3498(a,1),2682(a,1,1))]. given #3402 (H,wt=24): 3576 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(877(a,1),3575(a,2,1,2))]. given #3403 (H,wt=37): 2648 ((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(2638(a,1),472(a,1,1))]. given #3404 (H,wt=31): 3577 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2638(a,1),2648(a,1,2)),flip(a)]. given #3405 (H,wt=24): 3578 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(273,a,20,a,b,3577,a),flip(a)]. given #3406 (H,wt=17): 3580 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(62,a,2681,a(flip),b,3578,a),flip(a)]. given #3407 (H,wt=27): 3579 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3577(a,2),482(a,1))]. given #3408 (H,wt=37): 2740 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2706(a,1),444(a,1,1))]. given #3409 (H,wt=31): 3581 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2706(a,1),2740(a,1,2)),flip(a)]. given #3410 (H,wt=27): 3582 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3581(a,2),453(a,1))]. given #3411 (H,wt=37): 2864 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2863(a,1),2355(a,1,1)),flip(a)]. given #3412 (H,wt=30): 3583 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2863(a,1),2864(a,2,2,1,1))]. given #3413 (H,wt=24): 3584 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(273,a,3275,a(flip),b,3583,a),flip(a)]. given #3414 (H,wt=18): 3586 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3275(a,1),3584(a,1,1))]. given #3415 (H,wt=25): 3587 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3586(a,1),3437(a,1,1))]. given #3416 (H,wt=23): 3588 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3431(a,1),3587(a,2,1))]. given #3417 (H,wt=23): 3590 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(131,a,3588,a)]. given #3418 (H,wt=23): 3592 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(62,a,3034,a(flip),b,3590,a)]. given #3419 (H,wt=37): 3119 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. [para(3034(a,2),636(a,1,2))]. given #3420 (H,wt=38): 3300 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2714(a,1),3298(a,1,1,1,1))]. given #3421 (H,wt=34): 3593 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(11(a,1),3300(a,1,1,1))]. given #3422 (H,wt=37): 3595 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3593(a,1),43(a,1)),flip(a)]. given #3423 (H,wt=38): 3450 R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(1148(a,1),3449(a,1,2,2))]. given #3424 (H,wt=24): 3596 R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(3110(a,1),3450(a,1,2))]. given #3425 (H,wt=22): 3597 R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. [para(3341(a,1),3596(a,1,3))]. given #3426 (H,wt=18): 3598 R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. [para(9(a,1),3597(a,1,3,1,2,2,1))]. given #3427 (H,wt=16): 3599 R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. [para(108(a,1),3598(a,1,3,1,2))]. given #3428 (H,wt=12): 3600 R(x,K(y,x),K(y,x) \ 1) = x. [para(16(a,2),3599(a,1,3,1))]. given #3429 (H,wt=13): 3601 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(115,a,3600,a(flip),b,232,a)]. given #3430 (H,wt=39): 2818 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2713(a,2),2026(a,1,1))]. given #3431 (H,wt=32): 3602 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3351(a,1),2818(a,1,1))]. given #3432 (H,wt=39): 2886 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(2885(a,1),1564(a,2,2,1,2)),flip(a)]. given #3433 (H,wt=33): 3603 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3275(a,1),2886(a,2,1))]. given #3434 (H,wt=39): 3039 ((x * (y * z)) * K(u \ 1,u)) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(2988(a,1),461(a,1,1))]. given #3435 (H,wt=39): 3255 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3212(a,2),446(a,1,1,2))]. given #3436 (H,wt=39): 3305 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1063(a,1),3276(a,2,2,1))]. given #3437 (H,wt=35): 3604 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3166(a,1),3305(a,1,2))]. given #3438 (H,wt=35): 3605 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(27(a,2),3604(a,1,2))]. given #3439 (H,wt=29): 3606 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(2067(a,1),3605(a,1,2,1)),flip(a)]. given #3440 (H,wt=25): 3607 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(273,a,1866,a(flip),b,3606,a),flip(a)]. given #3441 (H,wt=23): 3609 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(62,a,3352,a(flip),b,3607,a)]. given #3442 (H,wt=23): 3610 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1688(a,2),3609(a,1,2))]. given #3443 (H,wt=28): 3611 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3610(a,1),2523(a,1,1)),flip(a)]. given #3444 (H,wt=39): 3370 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1148(a,1),3368(a,1,2,2))]. given #3445 (H,wt=25): 3612 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3110(a,1),3370(a,1,2)),flip(a)]. given #3446 (H,wt=23): 3614 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3341(a,1),3612(a,1,2))]. given #3447 (H,wt=19): 3615 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(9(a,1),3614(a,1,2,1,2,2,1))]. given #3448 (H,wt=17): 3616 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(108(a,1),3615(a,1,2,1,2))]. given #3449 (H,wt=13): 3617 x * (K(y,x) \ 1) = x / K(y,x). [para(16(a,2),3616(a,1,2,1))]. given #3450 (H,wt=13): 3618 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(273,a,3334,a(flip),b,3617,a),flip(a)]. given #3451 (H,wt=13): 3619 (K(x,y) \ y) / (K(x,y) \ 1) = y. [hyper(116,a,3334,a(flip),b,3617,a)]. given #3452 (H,wt=13): 3620 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(115,a,3334,a(flip),b,3617,a)]. given #3453 (H,wt=13): 3621 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(115,a,3618,a(flip),b,3440,a)]. given #3454 (H,wt=15): 3624 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3618(a,1),3443(a,1,1))]. given #3455 (H,wt=15): 3627 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(131,a,3624,a)]. given #3456 (H,wt=16): 3622 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3618(a,1),42(a,1))]. given #3457 (H,wt=17): 3626 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3621(a,1),878(a,1,2,1))]. given #3458 (H,wt=21): 3629 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(62,a,269,a(flip),b,3626,a),flip(a)]. given #3459 (H,wt=21): 3630 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(62,a,267,a(flip),b,3629,a),flip(a)]. given #3460 (H,wt=22): 3628 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3627(a,1),2645(a,1,1)),flip(a)]. given #3461 (H,wt=20): 3631 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(273,a,3630,a(flip),b,3628,a),flip(a)]. given #3462 (H,wt=24): 3623 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3618(a,1),167(a,1,2,1))]. given #3463 (H,wt=25): 3613 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(273,a,3334,a(flip),b,3612,a),flip(a)]. given #3464 (H,wt=27): 3632 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3631(a,1),2398(a,1,2,2))]. given #3465 (H,wt=19): 3634 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(554,a,3632,a),flip(a)]. given #3466 (H,wt=11): 3635 K(x,(y \ 1) \ 1) = K(x,y). [hyper(273,a,612,a(flip),b,3634,a)]. given #3467 (H,wt=11): 3637 K(x,1 / y) = K(x,y \ 1). [para(77(a,1),3635(a,1,2,1)),flip(a)]. given #3468 (H,wt=11): 3638 K(x,1 / (1 / y)) = K(x,y). [para(175(a,1),3635(a,1,2)),flip(a)]. given #3469 (H,wt=11): 3639 K(x,T(y,1 / y)) = K(x,y). [para(1791(a,2),3635(a,1,2))]. given #3470 (H,wt=14): 3636 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3634(a,2),615(a,1))]. given #3471 (H,wt=15): 3640 K(x,T(y / z,z / y)) = K(x,y / z). [para(2072(a,2),3635(a,1,2))]. given #3472 (H,wt=15): 3641 K(x,T(y \ z,z \ y)) = K(x,y \ z). [para(2299(a,2),3635(a,1,2))]. given #3473 (H,wt=15): 3642 K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). [para(2941(a,2),3635(a,1,2))]. given #3474 (H,wt=15): 3643 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2943(a,1),3635(a,1,2)),flip(a)]. given #3475 (H,wt=15): 3644 K(x,T(y / z,y \ z)) = K(x,y / z). [para(3374(a,2),3635(a,1,2))]. given #3476 (H,wt=15): 3654 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(271(a,2),3642(a,1,2))]. given #3477 (H,wt=17): 3650 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3637(a,2),3465(a,2,2))]. given #3478 (H,wt=19): 3653 K(x,(y / (1 / (1 / z))) / y) = K(x,(y / z) / y). [para(2956(a,2),3638(a,1,2))]. given #3479 (H,wt=21): 3645 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3635(a,1),3465(a,2,2))]. given #3480 (H,wt=22): 3648 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(62,a,1400,a,b,3637,a)]. given #3481 (H,wt=18): 3656 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(62,a,3609,a(flip),b,3648,a)]. given #3482 (H,wt=23): 3655 K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). [para(2979(a,1),3642(a,1,2,1)),flip(a)]. given #3483 (H,wt=23): 3657 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3648(a,1),2491(a,1,1))]. given #3484 (H,wt=25): 3652 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(62,a,1177,a,b,3638,a)]. given #3485 (H,wt=27): 3633 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3613(a,1),3380(a,1,1)),flip(a)]. given #3486 (H,wt=25): 3660 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3079(a,1),3633(a,1,2))]. given #3487 (H,wt=13): 3661 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(1150(a,2),3660(a,1,2)),flip(a)]. given #3488 (H,wt=13): 3662 1 / (x \ K(y,x)) = K(y,x) \ x. [hyper(176,a,3661,a)]. given #3489 (H,wt=27): 3658 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3656(a,1),3611(a,2,1))]. given #3490 (H,wt=27): 3663 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(273,a,3657,a(flip),b,3658,a),flip(a)]. given #3491 (H,wt=17): 3664 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(33,a,1804,a(flip),b,3663,a),flip(a)]. given #3492 (H,wt=17): 3665 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(62,a,3511,a,b,3664,a)]. given #3493 (H,wt=17): 3666 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(176,a,3665,a),flip(a)]. given #3494 (H,wt=17): 3667 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(172(a,1),3665(a,1,1,1)),flip(a)]. given #3495 (H,wt=17): 3669 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [hyper(171,a,3667,a),flip(a)]. given #3496 (H,wt=17): 3671 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(62,a,928,a,b,3669,a)]. given #3497 (H,wt=17): 3672 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(77(a,1),3669(a,1,1,1)),flip(a)]. given #3498 (H,wt=17): 3674 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3669(a,2),3127(a,1,2))]. given #3499 (H,wt=17): 3676 K(x,R(T(y,y \ 1),z,u)) = K(x,R(y,z,u)). [para(3671(a,2),3635(a,1,2))]. given #3500 (H,wt=17): 3677 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3672(a,1),3109(a,1,1)),flip(a)]. given #3501 (H,wt=17): 3678 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3672(a,1),3127(a,1,2)),flip(a)]. given #3502 (H,wt=21): 3668 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2934(a,1),3665(a,1,1,1))]. given #3503 (H,wt=21): 3670 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. [para(2943(a,1),3667(a,1,2,1))]. given #3504 (H,wt=22): 3673 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2582(a,1),3669(a,2,1,1))]. given #3505 (H,wt=17): 3681 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(62,a,3376,a,b,3673,a)]. given #3506 (H,wt=22): 3680 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. [para(853(a,1),3670(a,2,1))]. given #3507 (H,wt=21): 3683 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. [para(1218(a,1),3680(a,1,2))]. given #3508 (H,wt=19): 3684 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(7(a,1),3683(a,1,2,1,2)),flip(a)]. given #3509 (H,wt=17): 3685 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(7(a,1),3684(a,1,1,2)),flip(a)]. given #3510 (H,wt=17): 3686 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(171,a,3685,a),flip(a)]. given #3511 (H,wt=17): 3688 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(3686(a,2),3127(a,1,2))]. given #3512 (H,wt=19): 3687 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2804(a,1),3685(a,1,2))]. given #3513 (H,wt=19): 3689 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(77(a,1),3687(a,1,2,2,1)),flip(a)]. given #3514 (H,wt=19): 3690 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [hyper(176,a,3689,a)]. given #3515 (H,wt=19): 3691 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [hyper(131,a,3690,a(flip))]. given #3516 (H,wt=19): 3693 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(116,a,3691,a(flip),b,2950,a)]. given #3517 (H,wt=19): 3694 (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). [para(77(a,1),3691(a,1,2,2,2,2)),flip(a)]. given #3518 (H,wt=19): 3695 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(74(a,1),3693(a,1,1,1,2)),flip(a)]. given #3519 (H,wt=19): 3696 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3695(a,1),3638(a,1,2))]. given #3520 (H,wt=23): 3682 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. [para(3681(a,1),2317(a,1,1)),flip(a)]. given #3521 (H,wt=23): 3698 ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [hyper(129,a,3682,a(flip))]. given #3522 (H,wt=24): 3679 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(671(a,1),3668(a,1,1)),flip(a)]. given #3523 (H,wt=26): 3692 x * (1 / (1 / (x \ (y \ x)))) != z * u | ((1 / (1 / y)) \ x) / u = z. [para(3690(a,2),284(a,1,2))]. given #3524 (H,wt=30): 3675 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3669(a,2),2968(a,1,1))]. given #3525 (H,wt=27): 3699 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(251,a,3675,a),flip(a)]. given #3526 (H,wt=27): 3700 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2953(a,1),3699(a,2,1))]. given #3527 (H,wt=31): 3701 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(62,a,3574,a(flip),b,3700,a)]. given #3528 (H,wt=25): 3702 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3251(a,1),3701(a,2,1))]. given #3529 (H,wt=32): 3697 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(62,a,2846,a,b,3696,a)]. given #3530 (H,wt=37): 3659 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(108(a,1),3652(a,1,1,2))]. given #3531 (H,wt=33): 3703 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(3125(a,1),3659(a,1,2,1,2))]. given #3532 (H,wt=31): 3704 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(108(a,1),3703(a,1,2,1))]. given #3533 (H,wt=27): 3705 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(3125(a,1),3704(a,2,1,2))]. given #3534 (H,wt=25): 3706 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(108(a,1),3705(a,2,1))]. given #3535 (H,wt=16): 3707 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(62,a,2194,a(flip),b,3706,a)]. given #3536 (H,wt=15): 3708 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(1781(a,1),3707(a,1,1,2))]. given #3537 (H,wt=19): 3709 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(74(a,1),3708(a,1,1,2,2))]. given #3538 (H,wt=19): 3710 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(3123(a,2),3708(a,1,1))]. given #3539 (H,wt=15): 3711 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(12(a,1),3710(a,2,1))]. given #3540 (H,wt=13): 3712 K(K(x \ 1,x) * y,x) = K(y,x). [para(2790(a,1),3711(a,1,1))]. given #3541 (H,wt=13): 3714 K(K(x,x \ 1) * y,x) = K(y,x). [para(2763(a,1),3712(a,1,1)),flip(a)]. given #3542 (H,wt=15): 3715 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(2767(a,1),3712(a,1,1))]. given #3543 (H,wt=17): 3713 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(1859(a,1),3712(a,1,1,1))]. given #3544 (H,wt=17): 3716 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2255(a,2),3714(a,1,1))]. given #3545 (H,wt=19): 3717 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2758(a,1),3715(a,1,1))]. given #3546 (H,wt=19): 3718 K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). [para(2709(a,1),3713(a,1,1)),flip(a)]. given #3547 (H,wt=19): 3719 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2773(a,1),3716(a,1,1,1))]. given #3548 (H,wt=19): 3721 K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). [hyper(62,a,3637,a,b,3718,a)]. given #3549 (H,wt=23): 3720 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(62,a,892,a,b,3717,a)]. given #3550 (H,wt=40): 3168 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3142(a,2),517(a,2,1))]. given #3551 (H,wt=38): 3722 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1824(a,1),3168(a,1,1))]. given #3552 (H,wt=36): 3723 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1824(a,1),3722(a,1,2,3))]. given #3553 (H,wt=30): 3724 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2853(a,1),3723(a,1,2)),flip(a)]. given #3554 (H,wt=28): 3725 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3142(a,1),3724(a,1,1))]. given #3555 (H,wt=26): 3726 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1824(a,1),3725(a,1,2))]. given #3556 (H,wt=24): 3728 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(62,a,3134,a(flip),b,3726,a),flip(a)]. given #3557 (H,wt=23): 3729 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(273,a,3408,a(flip),b,3728,a),flip(a)]. given #3558 (H,wt=23): 3730 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(273,a,2581,a(flip),b,3729,a),flip(a)]. given #3559 (H,wt=30): 3727 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(3094(a,1),3725(a,1,1)),flip(a)]. given #3560 (H,wt=28): 3731 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(62,a,3730,a(flip),b,3727,a)]. given #3561 (H,wt=26): 3732 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1824(a,1),3731(a,2,2))]. given #3562 (H,wt=24): 3733 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(273,a,3134,a(flip),b,3732,a),flip(a)]. given #3563 (H,wt=20): 3734 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(273,a,3332,a(flip),b,3733,a),flip(a)]. given #3564 (H,wt=16): 3735 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3257(a,1),3734(a,1,1))]. given #3565 (H,wt=16): 3736 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(62,a,3514,a(flip),b,3735,a)]. given #3566 (H,wt=23): 3737 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3736(a,1),816(a,1,1))]. given #3567 (H,wt=20): 3738 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(62,a,462,a(flip),b,3737,a),flip(a)]. given #3568 (H,wt=16): 3739 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(273,a,16,a,b,3738,a)]. given #3569 (H,wt=12): 3740 L(K(x,y),y \ 1,y) = K(x,y). [para(16(a,2),3739(a,2,1)),flip(a)]. given #3570 (H,wt=40): 3409 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(3227(a,2),885(a,1,1,2))]. given #3571 (H,wt=40): 3488 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(273,a,409,a,b,3096,a)]. given #3572 (H,wt=36): 3741 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(77(a,1),3488(a,1,1,3))]. given #3573 (H,wt=36): 3742 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2581(a,1),3741(a,1,1))]. given #3574 (H,wt=42): 3345 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(585(a,1),3304(a,1,1,2))]. given #3575 (H,wt=42): 3573 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(3572(a,1),1241(a,1,1,2))]. given #3576 (H,wt=32): 3743 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(12(a,1),3573(a,1,1,2))]. given #3577 (H,wt=24): 3745 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1069(a,1),3743(a,1,1)),flip(a)]. given #3578 (H,wt=24): 3747 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3745(a,1),3568(a,1,1))]. given #3579 (H,wt=26): 3748 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(115,a,3747,a(flip),b,3539,a)]. given #3580 (H,wt=24): 3749 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(62,a,3352,a(flip),b,3748,a)]. given #3581 (H,wt=19): 3750 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(62,a,3648,a(flip),b,3749,a),flip(a)]. given #3582 (H,wt=19): 3751 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(38,a,2330,a,b,3750,a)]. given #3583 (H,wt=20): 3752 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3656(a,2),3751(a,1,1))]. given #3584 (H,wt=22): 3753 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(62,a,3446,a,b,3752,a)]. given #3585 (H,wt=19): 3754 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3475,a,3753,a)]. given #3586 (H,wt=22): 3755 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(62,a,3516,a,b,3754,a)]. given #3587 (H,wt=22): 3757 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(131,a,3755,a)]. given #3588 (H,wt=22): 3758 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(273,a,3666,a(flip),b,3757,a),flip(a)]. given #3589 (H,wt=20): 3759 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(33,a,1774,a,b,3758,a)]. given #3590 (H,wt=20): 3760 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(398,a,3759,a)]. given #3591 (H,wt=22): 3761 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3759(a,1),1812(a,1,1)),flip(a)]. given #3592 (H,wt=20): 3764 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(273,a,3750,a(flip),b,3761,a),flip(a)]. given #3593 (H,wt=22): 3763 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3760(a,1),3702(a,1,1))]. given #3594 (H,wt=23): 3762 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3760(a,1),319(a,1))]. given #3595 (H,wt=25): 3765 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3763(a,1),43(a,1))]. given #3596 (H,wt=26): 3766 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3109(a,1),3763(a,1,1))]. given #3597 (H,wt=22): 3767 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1859(a,1),3766(a,2,1,2))]. given #3598 (H,wt=25): 3768 K(x,R(x \ 1,y,z)) * (y * z) != u * z | y * K(x,x \ 1) = u. [para(3767(a,2),43(a,1))]. given #3599 (H,wt=28): 3756 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3754(a,1),2360(a,2,1,1))]. given #3600 (H,wt=25): 3769 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3759(a,1),3756(a,1,1)),flip(a)]. given #3601 (H,wt=13): 3770 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(450,a,3769,a)]. given #3602 (H,wt=13): 3771 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3109(a,1),3770(a,1,3))]. given #3603 (H,wt=25): 3772 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3771(a,1),94(a,1,2))]. given #3604 (H,wt=18): 3773 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(34,a,3767,a(flip),b,3772,a),flip(a)]. given #3605 (H,wt=14): 3774 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(34,a,3007,a,b,3773,a),flip(a)]. given #3606 (H,wt=10): 3778 L(x,y,K(z,z \ 1)) = x. [para(3774(a,1),3771(a,1,3))]. given #3607 (H,wt=10): 3786 L(x,y,K(z,1 / z)) = x. [para(1802(a,2),3778(a,1,3))]. given #3608 (H,wt=10): 3787 L(x,y,K(z \ 1,z)) = x. [para(1807(a,1),3778(a,1,3))]. given #3609 (H,wt=12): 3789 L(x,y,K(z \ u,u \ z)) = x. [para(2307(a,1),3778(a,1,3))]. given #3610 (H,wt=13): 3793 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3582,a,3787,a),flip(a)]. given #3611 (H,wt=13): 3800 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(62,a,3490,a(flip),b,3787,a),flip(a)]. given #3612 (H,wt=13): 3803 L(x,y,K(z \ 1,z)) != u | u = x. [para(3787(a,1),49(a,1)),flip(a)]. given #3613 (H,wt=13): 3810 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(74(a,1),3793(a,1,3)),flip(a)]. given #3614 (H,wt=15): 3801 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(62,a,3489,a(flip),b,3787,a),flip(a)]. given #3615 (H,wt=16): 3809 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(62,a,460,a(flip),b,3793,a),flip(a)]. given #3616 (H,wt=17): 3782 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3778(a,1),386(a,1,2)),flip(a)]. given #3617 (H,wt=17): 3788 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3778(a,1),1835(a,1,2)),flip(a)]. given #3618 (H,wt=17): 3792 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3786(a,1),386(a,1,2)),flip(a)]. given #3619 (H,wt=17): 3812 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(62,a,2678,a,b,3800,a)]. given #3620 (H,wt=17): 3815 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3571,a,3810,a)]. given #3621 (H,wt=17): 3817 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(3009,a,3782,a)]. given #3622 (H,wt=17): 3819 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(3009,a,3788,a)]. given #3623 (H,wt=17): 3821 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(525,a,3819,a),flip(a)]. given #3624 (H,wt=17): 3822 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [hyper(171,a,3821,a)]. given #3625 (H,wt=18): 3813 a(x,y \ 1,y) != z | x \ R(x,y \ 1,y) = z. [para(3489(a,1),3803(a,1)),flip(b)]. given #3626 (H,wt=19): 3777 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3774(a,1),3767(a,1,1)),flip(a)]. given #3627 (H,wt=19): 3779 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1095,a,3778,a),flip(a)]. given #3628 (H,wt=14): 3828 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(478,a,3779,a)]. given #3629 (H,wt=19): 3780 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(62,a,3069,a(flip),b,3778,a)]. given #3630 (H,wt=19): 3781 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(62,a,96,a(flip),b,3778,a)]. given #3631 (H,wt=19): 3783 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3778(a,1),506(a,1,2))]. given #3632 (H,wt=19): 3791 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [hyper(1095,a,3786,a),flip(a)]. given #3633 (H,wt=19): 3794 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1095,a,3787,a),flip(a)]. given #3634 (H,wt=19): 3802 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(62,a,3073,a(flip),b,3787,a),flip(a)]. given #3635 (H,wt=17): 3849 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(8(a,1),3802(a,2,2))]. given #3636 (H,wt=19): 3804 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3787(a,1),506(a,1,2))]. given #3637 (H,wt=19): 3823 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(273,a,3007,a(flip),b,3777,a),flip(a)]. given #3638 (H,wt=19): 3826 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(3041(a,1),3777(a,1,1)),flip(a)]. given #3639 (H,wt=17): 3856 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(377,a,3826,a),flip(a)]. given #3640 (H,wt=17): 3857 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2988(a,1),3856(a,1,1))]. given #3641 (H,wt=19): 3829 (K(x,x \ 1) * y) * z = (y * z) * K(x,x \ 1). [hyper(273,a,3007,a(flip),b,3779,a),flip(a)]. given #3642 (H,wt=19): 3834 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(3019(a,1),3780(a,1,1)),flip(a)]. given #3643 (H,wt=19): 3836 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(3019(a,1),3781(a,1,1)),flip(a)]. given #3644 (H,wt=19): 3839 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(3007(a,1),3783(a,1,1))]. given #3645 (H,wt=19): 3841 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(273,a,3003,a(flip),b,3791,a),flip(a)]. given #3646 (H,wt=19): 3845 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(2988(a,1),3794(a,1,1))]. given #3647 (H,wt=14): 3861 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3765,a,3845,a)]. given #3648 (H,wt=17): 3869 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3762,a,3861,a)]. given #3649 (H,wt=18): 3867 K(x \ 1,x) * (y * K(x,x \ 1)) != z | y = z. [para(3845(a,1),2640(a,1))]. given #3650 (H,wt=19): 3860 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(116,a,142,a(flip),b,3841,a)]. given #3651 (H,wt=20): 3818 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3782(a,1),3009(a,1))]. given #3652 (H,wt=21): 3832 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(62,a,2522,a,b,3828,a)]. given #3653 (H,wt=21): 3837 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(3054(a,1),3781(a,1,1))]. given #3654 (H,wt=21): 3846 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(3023(a,1),3794(a,1,1)),flip(a)]. given #3655 (H,wt=21): 3851 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(3049(a,1),3802(a,1,1)),flip(a)]. given #3656 (H,wt=21): 3852 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3804(a,1),110(a,1,1))]. given #3657 (H,wt=21): 3855 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [para(3049(a,1),3823(a,1,1)),flip(a)]. given #3658 (H,wt=21): 3862 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [hyper(3417,a,3845,a),flip(a)]. given #3659 (H,wt=21): 3872 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2062(a,2),3867(a,1,2))]. given #3660 (H,wt=22): 3831 (K(x,x \ 1) * y) * z != u * (y * z) | K(x,x \ 1) = u. [para(3779(a,2),43(a,1))]. given #3661 (H,wt=22): 3838 (K(x,x \ 1) * y) / z != K(x,x \ 1) * u | y / z = u. [para(3783(a,2),42(a,1))]. given #3662 (H,wt=22): 3859 (x * K(y,y \ 1)) / z != u | (x / z) * K(y,y \ 1) = u. [para(3839(a,2),3009(a,1))]. given #3663 (H,wt=23): 3814 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(3569(a,2),3803(a,1)),flip(b)]. given #3664 (H,wt=23): 3858 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(273,a,109,a,b,3834,a)]. given #3665 (H,wt=23): 3876 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2697(a,1),3837(a,1,2)),flip(a)]. given #3666 (H,wt=24): 3875 K(x,x \ 1) != R(x,y,z) * u | (1 / x) * (R(x,y,z) \ x) = u. [para(3832(a,1),42(a,1))]. given #3667 (H,wt=25): 3808 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(62,a,2720,a,b,3793,a)]. given #3668 (H,wt=26): 3820 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(62,a,96,a(flip),b,3815,a),flip(a)]. given #3669 (H,wt=26): 3825 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(116,a,3777,a(flip),b,104,a)]. given #3670 (H,wt=17): 3879 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(62,a,3447,a(flip),b,3825,a),flip(a)]. given #3671 (H,wt=21): 3880 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1807(a,1),3879(a,1,2)),flip(a)]. given #3672 (H,wt=17): 3881 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1807(a,1),3880(a,1,3)),flip(a)]. given #3673 (H,wt=26): 3840 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3783(a,1),3070(a,1,1))]. given #3674 (H,wt=26): 3843 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3794(a,1),20(a,2,1,1)),flip(a)]. given #3675 (H,wt=26): 3882 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3794(a,1),3843(a,1,1))]. given #3676 (H,wt=26): 3883 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(62,a,3804,a(flip),b,3882,a)]. given #3677 (H,wt=21): 3884 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(20(a,2),3883(a,1,2)),flip(a)]. given #3678 (H,wt=21): 3886 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2776,a,3884,a(flip))]. given #3679 (H,wt=19): 3887 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1762(a,1),3886(a,1,2,1))]. given #3680 (H,wt=21): 3888 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2763(a,1),3886(a,1,2,1)),flip(a)]. given #3681 (H,wt=21): 3889 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(273,a,3007,a(flip),b,3888,a),flip(a)]. given #3682 (H,wt=27): 3877 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3851(a,1),3603(a,1,2,1)),flip(a)]. given #3683 (H,wt=27): 3885 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(273,a,3092,a(flip),b,3884,a),flip(a)]. given #3684 (H,wt=17): 3891 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(3020(a,1),3885(a,1,1)),flip(a)]. given #3685 (H,wt=17): 3892 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(10(a,1),3891(a,1,1,2,1)),flip(a)]. given #3686 (H,wt=17): 3893 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(116,a,3892,a,b,xx)]. given #3687 (H,wt=17): 3896 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(79(a,1),3893(a,1,1,1)),flip(a)]. given #3688 (H,wt=17): 3897 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(131,a,3896,a),flip(a)]. given #3689 (H,wt=22): 3894 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(489(a,1),3892(a,2,1,2))]. given #3690 (H,wt=22): 3895 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2582(a,1),3892(a,2,1,2))]. given #3691 (H,wt=17): 3900 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(62,a,3576,a(flip),b,3895,a),flip(a)]. given #3692 (H,wt=13): 3903 (x * (y \ T(y,x))) * y = y * x. [para(9(a,1),3900(a,1,1)),flip(a)]. given #3693 (H,wt=13): 3904 x * (y \ T(y,x)) = (y * x) / y. [hyper(128,a,3903,a),flip(a)]. given #3694 (H,wt=13): 3906 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(34,a,108,a(flip),b,3903,a),flip(a)]. given #3695 (H,wt=13): 3907 x \ ((y * x) / y) = y \ T(y,x). [hyper(122,a,3904,a)]. given #3696 (H,wt=13): 3909 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(115,a,199,a(flip),b,3904,a)]. given #3697 (H,wt=13): 3911 ((x * y) / x) * (T(x,y) \ x) = y. [hyper(34,a,3486,a,b,3904,a)]. given #3698 (H,wt=13): 3913 ((x * y) / x) / y = x \ T(x,y). [hyper(33,a,3244,a,b,3904,a)]. given #3699 (H,wt=13): 3917 ((x * y) / x) \ y = T(x,y) \ x. [para(3904(a,1),3405(a,1,1))]. given #3700 (H,wt=13): 3918 (T(x,y) \ x) * ((x * y) / x) = y. [para(3904(a,1),3536(a,1,2))]. given #3701 (H,wt=13): 3919 T(x,T(y,x)) \ x = y \ T(y,x). [para(3906(a,1),3405(a,1,1)),flip(a)]. given #3702 (H,wt=13): 3929 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3919(a,1),3189(a,1,1))]. given #3703 (H,wt=15): 3905 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(116,a,10,a(flip),b,3903,a),flip(a)]. given #3704 (H,wt=15): 3915 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3904(a,1),2202(a,1,1))]. given #3705 (H,wt=15): 3924 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(10(a,1),3917(a,1,1,1)),flip(a)]. given #3706 (H,wt=15): 3930 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3919(a,2),3903(a,1,1,2))]. given #3707 (H,wt=13): 3935 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(212,a,3930,a,b,xx)]. given #3708 (H,wt=15): 3932 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(109(a,1),3905(a,1,2,2))]. given #3709 (H,wt=15): 3937 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(122,a,3932,a)]. given #3710 (H,wt=16): 3920 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3907(a,1),458(a,1,1))]. given #3711 (H,wt=16): 3928 x \ T(x,y) != z \ y | T(y,T(x,y)) = z. [para(3919(a,1),47(a,1))]. given #3712 (H,wt=16): 3938 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(199(a,1),3920(a,2,2)),flip(a)]. given #3713 (H,wt=17): 3910 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(115,a,145,a(flip),b,3904,a),flip(a)]. given #3714 (H,wt=15): 3939 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(110(a,1),3910(a,1,2))]. given #3715 (H,wt=15): 3940 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(62,a,3924,a,b,3939,a)]. given #3716 (H,wt=15): 3941 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(131,a,3940,a(flip)),flip(a)]. given #3717 (H,wt=17): 3912 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(33,a,3248,a,b,3904,a)]. given #3718 (H,wt=13): 3946 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1316,a,3912,a(flip))]. given #3719 (H,wt=13): 3954 T(x,x / (y * x)) = T(x,y \ 1). [hyper(62,a,3301,a,b,3946,a)]. given #3720 (H,wt=15): 3943 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1331,a,3912,a)]. given #3721 (H,wt=15): 3951 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2104,a,3946,a)]. given #3722 (H,wt=15): 3955 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(62,a,1334,a,b,3946,a)]. given #3723 (H,wt=15): 3956 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(62,a,1335,a(flip),b,3946,a),flip(a)]. given #3724 (H,wt=15): 3957 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(116,a,3946,a(flip),b,2099,a)]. given #3725 (H,wt=15): 3959 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3954(a,1),1009(a,1,2))]. given #3726 (H,wt=15): 3965 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(131,a,3959,a)]. given #3727 (H,wt=17): 3931 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3079(a,1),3929(a,1,1))]. given #3728 (H,wt=17): 3942 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(9(a,1),3941(a,2,2,1,2))]. given #3729 (H,wt=17): 3958 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3946(a,1),2101(a,2,2))]. given #3730 (H,wt=17): 3960 K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. [para(3943(a,2),3256(a,1,1))]. given #3731 (H,wt=17): 3962 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(77(a,1),3957(a,1,1,2))]. given #3732 (H,wt=17): 3966 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(77(a,1),3959(a,2,2,1))]. given #3733 (H,wt=17): 3971 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(115,a,3962,a,b,xx)]. given #3734 (H,wt=18): 3914 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3904(a,1),883(a,1,2))]. given #3735 (H,wt=18): 3967 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(363(a,2),3959(a,2,2)),flip(a)]. given #3736 (H,wt=18): 3968 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1154(a,2),3931(a,1,1)),flip(a)]. given #3737 (H,wt=17): 3974 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(1152(a,1),3968(a,1,2))]. given #3738 (H,wt=19): 3916 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3079(a,1),3904(a,1,2)),flip(a)]. given #3739 (H,wt=19): 3945 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(62,a,1040,a,b,3912,a)]. given #3740 (H,wt=19): 3947 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3912(a,1),2111(a,1,1))]. given #3741 (H,wt=19): 3961 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(236(a,1),3955(a,1,2,2,1)),flip(a)]. given #3742 (H,wt=19): 3972 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1112,a,3966,a)]. given #3743 (H,wt=19): 3977 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(273,a,3943,a(flip),b,3947,a),flip(a)]. given #3744 (H,wt=19): 3978 K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). [para(3127(a,1),3947(a,1,1,2)),flip(a)]. given #3745 (H,wt=20): 3921 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3909(a,2),3279(a,1,1))]. given #3746 (H,wt=20): 3922 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3913(a,1),467(a,1,1,1))]. given #3747 (H,wt=20): 3936 x * y != x * z | T(z * (T(z,T(x,z)) \ z),x) = y. [para(3930(a,1),213(a,2))]. given #3748 (H,wt=20): 3969 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3942(a,2),42(a,1))]. given #3749 (H,wt=21): 3950 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3912(a,1),2488(a,1,1))]. given #3750 (H,wt=21): 3980 K(((x / y) \ 1) \ y,(x / y) \ 1) = y \ (x * (y / x)). [hyper(115,a,3972,a(flip),b,260,a),flip(a)]. given #3751 (H,wt=21): 3983 T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. [para(3978(a,1),3960(a,1,1)),flip(a)]. given #3752 (H,wt=21): 3985 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(273,a,3943,a(flip),b,3950,a),flip(a)]. given #3753 (H,wt=22): 3979 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3961(a,2),42(a,1))]. given #3754 (H,wt=23): 3899 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(116,a,3894,a(flip),b,232,a)]. given #3755 (H,wt=23): 3901 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(116,a,3895,a(flip),b,2583,a),flip(a)]. given #3756 (H,wt=21): 3986 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(62,a,1651,a(flip),b,3901,a)]. given #3757 (H,wt=23): 3948 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3912(a,1),2125(a,2,2,1))]. given #3758 (H,wt=23): 3964 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(879,a,3959,a),flip(a)]. given #3759 (H,wt=19): 3988 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(9(a,1),3964(a,1,2,1)),flip(a)]. given #3760 (H,wt=19): 3989 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(62,a,3087,a(flip),b,3988,a),flip(a)]. given #3761 (H,wt=18): 3990 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(189(a,2),3989(a,1,2))]. given #3762 (H,wt=23): 3987 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3943(a,1),3948(a,1,1))]. given #3763 (H,wt=24): 3963 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3957(a,2),192(a,2,1))]. given #3764 (H,wt=24): 3973 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(77(a,1),3967(a,2,2,2))]. given #3765 (H,wt=24): 3981 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3972(a,1),431(a,1,2))]. given #3766 (H,wt=24): 3992 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2844(a,1),3973(a,1,2))]. given #3767 (H,wt=23): 3993 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3992(a,1),3697(a,1,2)),flip(a)]. given #3768 (H,wt=19): 3994 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(273,a,3720,a(flip),b,3993,a)]. given #3769 (H,wt=25): 3908 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(115,a,728,a(flip),b,3904,a)]. given #3770 (H,wt=25): 3925 ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. [para(728(a,1),3917(a,1,1))]. given #3771 (H,wt=25): 3970 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3942(a,1),1176(a,1,1)),flip(a)]. given #3772 (H,wt=23): 3995 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3942(a,1),3970(a,1,2,1)),flip(a)]. given #3773 (H,wt=25): 3975 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(1154(a,2),3916(a,2,2))]. given #3774 (H,wt=25): 3976 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1582(a,1),3916(a,2,2))]. given #3775 (H,wt=25): 3991 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(3990(a,1),767(a,1,1)),flip(a)]. given #3776 (H,wt=21): 3998 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(62,a,3915,a(flip),b,3991,a)]. given #3777 (H,wt=18): 3999 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(62,a,1732,a(flip),b,3998,a)]. given #3778 (H,wt=22): 4000 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(9(a,1),3999(a,1,1,1)),flip(a)]. given #3779 (H,wt=18): 4001 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(9(a,1),4000(a,1,1,1)),flip(a)]. given #3780 (H,wt=26): 3923 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3913(a,1),567(a,1,1,1))]. given #3781 (H,wt=26): 3927 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3595,a,3918,a)]. given #3782 (H,wt=22): 4002 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(62,a,3808,a(flip),b,3927,a)]. given #3783 (H,wt=22): 4003 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2741(a,1),4002(a,2,1))]. given #3784 (H,wt=19): 4004 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(62,a,4001,a(flip),b,4003,a),flip(a)]. given #3785 (H,wt=26): 3996 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(453,a,3995,a),flip(a)]. given #3786 (H,wt=21): 4005 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(3241(a,1),3996(a,1,2))]. given #3787 (H,wt=27): 3890 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3112(a,1),3877(a,2,2))]. given #3788 (H,wt=25): 4006 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(273,a,260,a(flip),b,3890,a)]. given #3789 (H,wt=27): 3984 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3921(a,1),815(a,1,1))]. given #3790 (H,wt=23): 4007 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(16(a,2),3984(a,2,1))]. given #3791 (H,wt=28): 3933 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) = L(z,y \ 1,(x * y) / x). [para(3915(a,1),18(a,2,1)),flip(a)]. given #3792 (H,wt=28): 3982 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3295(a,1),3977(a,2,2,2,1))]. given #3793 (H,wt=28): 3997 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3976(a,2),42(a,1))]. given #3794 (H,wt=28): 4008 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(273,a,3985,a,b,3982,a),flip(a)]. given #3795 (H,wt=24): 4009 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3127(a,1),4008(a,2,1,2))]. given #3796 (H,wt=29): 3902 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3895(a,1),3742(a,1,1)),flip(a)]. given #3797 (H,wt=27): 4010 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(7(a,1),3902(a,2,1,1,2))]. given #3798 (H,wt=23): 4011 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(77(a,1),4010(a,2,2))]. given #3799 (H,wt=30): 3926 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3917(a,1),1173(a,1,2,2,1))]. given #3800 (H,wt=28): 4012 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3917(a,1),3926(a,2,2))]. given #3801 (H,wt=31): 3850 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3802(a,1),2796(a,1))]. given #3802 (H,wt=31): 3878 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2748(a,1),3852(a,1,1))]. given #3803 (H,wt=31): 3934 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3915(a,1),453(a,1,1))]. given #3804 (H,wt=31): 3949 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3912(a,1),2113(a,2,2,1))]. given #3805 (H,wt=31): 4013 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3878(a,2),3850(a,1))]. given #3806 (H,wt=32): 3864 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3845(a,1),18(a,2,1)),flip(a)]. given #3807 (H,wt=32): 3865 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). [para(3845(a,1),18(a,2,2,2)),flip(a)]. given #3808 (H,wt=32): 3868 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3845(a,1),2738(a,1,1))]. given #3809 (H,wt=32): 3873 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(755,a,3860,a)]. given #3810 (H,wt=32): 4014 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3845(a,1),3864(a,1,2))]. given #3811 (H,wt=24): 4016 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(744,a,4014,a)]. given #3812 (H,wt=15): 4017 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3803,a,4016,a)]. given #3813 (H,wt=15): 4019 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2988(a,2),4017(a,1,3))]. given #3814 (H,wt=17): 4020 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2769(a,1),4019(a,1,3)),flip(a)]. given #3815 (H,wt=32): 4015 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(62,a,3804,a(flip),b,3868,a)]. given #3816 (H,wt=34): 3863 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3845(a,1),14(a,2,1)),flip(a)]. given #3817 (H,wt=34): 4021 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3845(a,1),3863(a,1,2,1))]. given #3818 (H,wt=34): 4022 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3794(a,1),4021(a,1,2))]. given #3819 (H,wt=26): 4023 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(746,a,4022,a)]. given #3820 (H,wt=15): 4024 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3803,a,4023,a)]. given #3821 (H,wt=13): 4026 a(1 / x,y,z) = a(x \ 1,y,z). [para(701(a,1),4024(a,1,1)),flip(a)]. given #3822 (H,wt=17): 4027 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(2576(a,1),4024(a,1,1)),flip(a)]. given #3823 (H,wt=35): 3866 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3845(a,1),453(a,1,2,2))]. given #3824 (H,wt=36): 3898 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3897(a,2),2476(a,1,1))]. given #3825 (H,wt=34): 4028 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3898(a,1),251(a,1))]. given #3826 (H,wt=27): 4029 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(4028,a,3949,a)]. given #3827 (H,wt=23): 4030 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3951(a,1),4029(a,1,1)),flip(a)]. given #3828 (H,wt=23): 4031 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3127(a,1),4030(a,1,2,1,2)),flip(a)]. given #3829 (H,wt=19): 4032 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3127(a,1),4031(a,1,1)),flip(a)]. given #3830 (H,wt=19): 4033 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(9(a,1),4032(a,1,2,2)),flip(a)]. given #3831 (H,wt=15): 4034 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(9(a,1),4033(a,1,2)),flip(a)]. given #3832 (H,wt=10): 4035 L(x,y \ T(y,z),y) = x. [hyper(681,a,4034,a)]. given #3833 (H,wt=12): 4045 L(x,T(y,T(z,y)) \ y,z) = x. [para(3919(a,2),4035(a,1,2))]. given #3834 (H,wt=14): 4046 L(x,T(y,z) \ y,(y * z) / y) = x. [para(198(a,1),4045(a,1,2,1,2))]. given #3835 (H,wt=15): 4037 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(128,a,4034,a)]. given #3836 (H,wt=10): 4048 R(x,x \ T(x,y),z) = x. [hyper(689,a,4037,a)]. given #3837 (H,wt=12): 4050 R(x,x \ (K(y,x) \ x),z) = x. [para(3968(a,1),4048(a,1,2,2))]. given #3838 (H,wt=10): 4051 R(x,K(y,x) \ 1,z) = x. [para(3620(a,1),4050(a,1,2))]. given #3839 (H,wt=15): 4038 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(33,a,936,a,b,4034,a),flip(a)]. given #3840 (H,wt=15): 4039 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(33,a,932,a(flip),b,4034,a),flip(a)]. given #3841 (H,wt=15): 4043 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(115,a,4035,a(flip),b,3529,a)]. given #3842 (H,wt=15): 4044 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(115,a,4035,a(flip),b,3242,a),flip(a)]. given #3843 (H,wt=13): 4061 T(x,y) \ ((x * y) / x) = x \ y. [para(3904(a,1),4044(a,1,2))]. given #3844 (H,wt=11): 4063 T(x / y,T(y,x)) = y \ x. [hyper(1471,a,4061,a)]. given #3845 (H,wt=13): 4065 T(x,y) * (x \ y) = (x * y) / x. [hyper(131,a,4061,a)]. given #3846 (H,wt=11): 4069 T(x,x / (x / y)) = T(x,y). [hyper(34,a,1606,a,b,4065,a)]. given #3847 (H,wt=11): 4079 T(x,x / y) = T(x,y \ x). [para(74(a,1),4069(a,1,2,2))]. given #3848 (H,wt=11): 4080 T(x,(y \ x) \ x) = T(x,y). [para(172(a,1),4069(a,1,2)),flip(a)]. given #3849 (H,wt=11): 4085 T(x,T(y,y \ x)) = T(x,y). [para(109(a,2),4080(a,1,2))]. given #3850 (H,wt=13): 4066 T(x,T(x \ y,y)) = (x \ y) \ y. [para(74(a,1),4063(a,1,1))]. given #3851 (H,wt=13): 4067 T(x \ y,T(x,y)) = T(x \ y,x). [para(4063(a,1),218(a,1,1)),flip(a)]. given #3852 (H,wt=13): 4073 T(x,y) * y = x * ((x * y) / x). [para(4065(a,1),936(a,1,2)),flip(a)]. given #3853 (H,wt=13): 4075 T(x,y) = (x / y) * ((x * y) / x). [hyper(62,a,984,a,b,4069,a),flip(a)]. given #3854 (H,wt=13): 4076 T(x,x / (1 / y)) = T(x,x * y). [hyper(62,a,1612,a(flip),b,4069,a)]. given #3855 (H,wt=13): 4077 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(62,a,1000,a(flip),b,4069,a)]. given #3856 (H,wt=13): 4078 (x / y) \ T(x,y) = (x * y) / x. [hyper(115,a,4069,a(flip),b,984,a)]. given #3857 (H,wt=13): 4081 T(x,T(y,x)) * T(y,x) = x * y. [para(4069(a,1),1462(a,1,1))]. given #3858 (H,wt=13): 4083 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1501,a,4079,a),flip(a)]. given #3859 (H,wt=13): 4084 T(T(x,y \ x) / y,x) = x / y. [para(4079(a,1),1001(a,1,1,1))]. given #3860 (H,wt=13): 4086 T(x * y,T(x,y)) = T(x * y,x). [para(9(a,1),4085(a,1,2,2))]. given #3861 (H,wt=13): 4087 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(273,a,109,a,b,4066,a),flip(a)]. given #3862 (H,wt=13): 4092 T(x,y) \ (x * ((x * y) / x)) = y. [hyper(122,a,4073,a)]. given #3863 (H,wt=13): 4097 T(x / y,(x * y) / x) = y \ x. [hyper(212,a,4075,a(flip),b,973,a(flip))]. given #3864 (H,wt=13): 4100 T(x / T(y,x),y) = T(y,x) \ x. [hyper(212,a,4077,a,b,956,a)]. given #3865 (H,wt=13): 4103 T(x,(1 / y) * x) = T(x,y \ x). [para(77(a,1),4083(a,1,2,1)),flip(a)]. given #3866 (H,wt=15): 4056 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(128,a,4039,a)]. given #3867 (H,wt=14): 4105 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3292,a,4056,a)]. given #3868 (H,wt=15): 4062 T(x,x \ y) \ (y / x) = x \ (x \ y). [para(3905(a,1),4044(a,1,2))]. given #3869 (H,wt=15): 4064 T(x,x * y) \ ((x * (x * y)) / x) = y. [hyper(273,a,9,a(flip),b,4061,a),flip(a)]. given #3870 (H,wt=15): 4070 (x * (x * y)) / x = T(x,x * y) * y. [para(9(a,1),4065(a,1,2)),flip(a)]. given #3871 (H,wt=15): 4082 T(x,T(y,x)) * (y * x) = x * (x * y). [para(4069(a,1),1497(a,1,1))]. given #3872 (H,wt=15): 4093 T(x,x \ y) * (x \ y) = x * (y / x). [para(10(a,1),4073(a,2,2,1))]. given #3873 (H,wt=15): 4112 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(62,a,4038,a,b,4093,a)]. given #3874 (H,wt=15): 4115 T(x,x \ y) * y = x * (x * (y / x)). [para(4093(a,1),936(a,1,2)),flip(a)]. given #3875 (H,wt=15): 4116 ((x \ y) \ y) * y = x * (x * (y / x)). [hyper(62,a,270,a(flip),b,4115,a)]. given #3876 (H,wt=16): 4074 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(4065(a,1),3224(a,1,1,1))]. given #3877 (H,wt=14): 4119 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3913(a,1),4074(a,1,1))]. given #3878 (H,wt=13): 4120 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(62,a,3938,a,b,4119,a),flip(a)]. given #3879 (H,wt=13): 4121 K(T(x,y),y) = K(x,(x * y) / x). [hyper(62,a,3920,a(flip),b,4119,a),flip(a)]. given #3880 (H,wt=16): 4099 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4076(a,1),1511(a,1,1))]. given #3881 (H,wt=14): 4123 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(273,a,4077,a(flip),b,4099,a),flip(a)]. given #3882 (H,wt=17): 4041 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3909(a,2),4034(a,1,2,1))]. given #3883 (H,wt=13): 4126 (T(x,y) \ x) * (x * y) = y * x. [hyper(33,a,4082,a(flip),b,4041,a),flip(a)]. given #3884 (H,wt=13): 4127 K(x,y) = T(T(y,x) \ y,y * x). [hyper(212,a,4126,a,b,86,a),flip(a)]. given #3885 (H,wt=13): 4128 (x * y) / (y * x) = T(y,x) \ y. [hyper(128,a,4126,a)]. given #3886 (H,wt=13): 4133 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(38,a,4004,a,b,4128,a(flip))]. given #3887 (H,wt=15): 4129 T(x,y / x) \ x = y / (x * (y / x)). [hyper(116,a,12,a(flip),b,4126,a),flip(a)]. given #3888 (H,wt=15): 4132 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(10(a,1),4127(a,2,2)),flip(a)]. given #3889 (H,wt=15): 4136 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1729(a,1),4133(a,1,2))]. given #3890 (H,wt=15): 4137 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(3940(a,1),4132(a,1,1))]. given #3891 (H,wt=16): 4130 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4126(a,1),280(a,1,1))]. given #3892 (H,wt=16): 4135 x \ y != (z * y) / (y * z) | T(y,z) = x. [para(4128(a,2),47(a,1)),flip(a)]. given #3893 (H,wt=17): 4047 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(115,a,4046,a(flip),b,4012,a),flip(a)]. given #3894 (H,wt=17): 4052 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4051(a,1),3623(a,1,1))]. given #3895 (H,wt=17): 4088 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4067(a,1),108(a,1,2))]. given #3896 (H,wt=17): 4090 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(4067(a,2),399(a,1,2,2))]. given #3897 (H,wt=17): 4102 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(11(a,1),4078(a,1,1)),flip(a)]. given #3898 (H,wt=14): 4141 T(x \ T(x * y,y),x) = R(y,x,y). [para(4102(a,1),704(a,2,1)),flip(a)]. given #3899 (H,wt=16): 4142 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4102(a,1),713(a,1,1))]. given #3900 (H,wt=17): 4122 K(T(x,y),y) * z = K(x,(x * y) / x) * z. [hyper(56,a,4121,a)]. given #3901 (H,wt=17): 4125 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4123(a,1),927(a,1,2)),flip(a)]. given #3902 (H,wt=17): 4134 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(12(a,1),4128(a,1,2)),flip(a)]. given #3903 (H,wt=15): 4147 (x * (y / x)) / y = (x \ y) \ (y / x). [para(110(a,1),4134(a,1,1)),flip(a)]. given #3904 (H,wt=15): 4148 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(273,a,3937,a(flip),b,4147,a),flip(a)]. given #3905 (H,wt=17): 4138 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(131,a,4047,a)]. given #3906 (H,wt=17): 4139 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(3195(a,1),4047(a,1,2))]. given #3907 (H,wt=17): 4140 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [hyper(131,a,4052,a)]. given #3908 (H,wt=17): 4144 K(x,(x * y) / x) * (K(T(x,y),y) \ z) = z. [hyper(329,a,4122,a)]. given #3909 (H,wt=17): 4145 K(T(x,y),y) * (K(x,(x * y) / x) \ z) = z. [hyper(273,a,10,a(flip),b,4122,a),flip(a)]. given #3910 (H,wt=17): 4146 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(34,a,418,a,b,4125,a)]. given #3911 (H,wt=18): 4057 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4039(a,1),288(a,1,2))]. given #3912 (H,wt=18): 4058 T(x,y) * (x \ z) != u | (x \ T(x,y)) * z = u. [para(4039(a,1),287(a,1))]. given #3913 (H,wt=18): 4101 T(x,T(y,x)) != y * z | T(x / T(y,x),y) = z. [para(4077(a,1),213(a,2)),flip(a)]. given #3914 (H,wt=18): 4110 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(4064(a,1),127(a,1,2)),flip(a),flip(b)]. given #3915 (H,wt=18): 4114 T(x,x \ y) * (x \ y) != x * z | y / x = z. [para(4093(a,2),42(a,1))]. given #3916 (H,wt=18): 4118 T(x,x \ y) * y != x * z | x * (y / x) = z. [para(4115(a,2),42(a,1))]. given #3917 (H,wt=18): 4124 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4123(a,1),211(a,1,2))]. given #3918 (H,wt=18): 4153 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(10(a,1),4057(a,1,2))]. given #3919 (H,wt=16): 4154 T(x,y) \ x != z | x * (T(x,y) \ 1) = z. [para(3256(a,1),4153(a,1))]. given #3920 (H,wt=16): 4155 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3929(a,1),4153(a,1))]. given #3921 (H,wt=19): 4068 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4063(a,1),1697(a,1,1)),flip(a)]. given #3922 (H,wt=13): 4156 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(62,a,4090,a(flip),b,4068,a),flip(a)]. given #3923 (H,wt=15): 4157 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(62,a,621,a(flip),b,4156,a),flip(a)]. given #3924 (H,wt=11): 4158 K(x,T(y,y * x)) = K(x,y). [hyper(62,a,621,a(flip),b,4157,a),flip(a)]. given #3925 (H,wt=19): 4104 T(x / T(y,x),z) * y = y * T(T(y,x) \ x,z). [para(4100(a,1),209(a,1,2,1)),flip(a)]. given #3926 (H,wt=19): 4106 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4056(a,1),4007(a,1,1)),flip(a)]. given #3927 (H,wt=10): 4160 R(K(x,y),x,z) = K(x,y). [hyper(273,a,3938,a,b,4106,a),flip(a)]. given #3928 (H,wt=15): 4162 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4160(a,1),104(a,1,1)),flip(a)]. given #3929 (H,wt=8): 4164 L(x,y,K(y,z)) = x. [hyper(450,a,4162,a)]. given #3930 (H,wt=11): 4167 L(x,y,K(y,z)) != u | u = x. [para(4164(a,1),49(a,1)),flip(a)]. given #3931 (H,wt=12): 4166 L(x,y,K(y,z)) = u \ (u * x). [hyper(273,a,9,a,b,4164,a),flip(a)]. given #3932 (H,wt=15): 4165 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3145(a,1),4162(a,1,1))]. given #3933 (H,wt=19): 4108 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(62,a,3410,a(flip),b,4105,a)]. given #3934 (H,wt=19): 4149 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(62,a,3945,a(flip),b,4148,a),flip(a)]. given #3935 (H,wt=13): 4172 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(605,a,4149,a)]. given #3936 (H,wt=13): 4174 T(x,(x / y) \ 1) = T(x,x \ y). [para(77(a,1),4172(a,1,2,2)),flip(a)]. given #3937 (H,wt=15): 4175 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4172(a,1),197(a,1,2))]. given #3938 (H,wt=15): 4176 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4172(a,1),236(a,1,2))]. given #3939 (H,wt=15): 4179 (x / y) \ T(x,x \ y) = x * (y / x). [para(4174(a,1),3966(a,1,2))]. given #3940 (H,wt=17): 4173 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(9(a,1),4172(a,1,2,2))]. given #3941 (H,wt=15): 4184 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(394,a,4173,a),flip(a)]. given #3942 (H,wt=15): 4185 x / T(y * x,y \ 1) = (y * x) \ x. [para(4173(a,1),236(a,1,2))]. given #3943 (H,wt=17): 4180 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(77(a,1),4175(a,1,2,2))]. given #3944 (H,wt=17): 4181 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3127(a,1),4176(a,1,2))]. given #3945 (H,wt=17): 4186 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(62,a,3127,a(flip),b,4184,a)]. given #3946 (H,wt=17): 4187 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(77(a,1),4184(a,1,2))]. given #3947 (H,wt=17): 4188 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [hyper(131,a,4186,a(flip))]. given #3948 (H,wt=19): 4178 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4172(a,1),3940(a,1,1)),flip(a)]. given #3949 (H,wt=20): 4055 T(x,y) * (x \ 1) != z * u | z \ (x \ T(x,y)) = u. [para(4038(a,1),224(a,1))]. given #3950 (H,wt=20): 4089 T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. [para(4067(a,1),252(a,1,2))]. given #3951 (H,wt=20): 4091 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(4067(a,2),679(a,1,2,2))]. given #3952 (H,wt=20): 4094 T(x,y) \ (x * ((x * y) / x)) != z * u | y / u = z. [para(4073(a,1),503(a,1,2))]. given #3953 (H,wt=20): 4131 (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. [para(4126(a,1),213(a,2))]. given #3954 (H,wt=20): 4151 (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. [para(4140(a,1),42(a,1))]. given #3955 (H,wt=21): 4095 T(x,T(x \ y,z)) * T(x \ y,z) = x * T(y / x,z). [para(420(a,1),4073(a,2,2))]. given #3956 (H,wt=21): 4111 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(115,a,3959,a,b,4093,a)]. given #3957 (H,wt=19): 4192 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4172(a,1),4111(a,1,1))]. given #3958 (H,wt=21): 4169 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1055,a,4108,a),flip(a)]. given #3959 (H,wt=19): 4195 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(62,a,3910,a(flip),b,4169,a)]. given #3960 (H,wt=15): 4197 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(62,a,4178,a(flip),b,4195,a)]. given #3961 (H,wt=15): 4198 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(273,a,1221,a,b,4197,a)]. given #3962 (H,wt=15): 4199 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(273,a,1150,a,b,4197,a)]. given #3963 (H,wt=15): 4200 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(273,a,877,a(flip),b,4197,a),flip(a)]. given #3964 (H,wt=11): 4206 T(x,y) \ x = y \ T(y,x). [para(3127(a,1),4200(a,1,1))]. given #3965 (H,wt=9): 4209 T(x,T(y,x)) = T(x,y). [hyper(38,a,3919,a,b,4206,a)]. given #3966 (H,wt=11): 4208 T(x,y) * (y \ T(y,x)) = x. [hyper(131,a,4206,a)]. given #3967 (H,wt=11): 4214 x * (T(x,y) \ y) = T(y,x). [hyper(4155,a,4209,a)]. given #3968 (H,wt=11): 4218 T(x,y) \ (x * y) = T(y,x). [hyper(395,a,4209,a)]. given #3969 (H,wt=11): 4220 (x / T(y,x)) * y = T(x,y). [hyper(62,a,4077,a,b,4209,a)]. given #3970 (H,wt=11): 4222 T(x,y) / y = x / T(y,x). [hyper(116,a,4209,a(flip),b,4077,a)]. given #3971 (H,wt=11): 4223 T(x,y) / (T(y,x) \ x) = y. [hyper(116,a,4209,a(flip),b,956,a)]. given #3972 (H,wt=11): 4224 (x / T(y,x)) \ T(x,y) = y. [hyper(115,a,4209,a(flip),b,4077,a)]. given #3973 (H,wt=11): 4225 T(x,y) \ y = x \ T(y,x). [hyper(115,a,4209,a(flip),b,956,a),flip(a)]. given #3974 (H,wt=11): 4229 x * T(y,T(x,y)) = y * x. [para(4209(a,2),108(a,1,2))]. given #3975 (H,wt=9): 4263 L(R(x,y,x),y,x) = x. [hyper(34,a,4125,a,b,4229,a(flip))]. given #3976 (H,wt=11): 4230 T(x,y / x) = T(x,x \ y). [para(110(a,1),4209(a,1,2)),flip(a)]. given #3977 (H,wt=11): 4232 (x * y) / T(y,x) = T(x,y). [para(4209(a,1),240(a,1,2))]. given #3978 (H,wt=11): 4237 T(x * (T(x,y) \ x),y) = x. [para(4209(a,1),3935(a,1,1,2,1))]. given #3979 (H,wt=11): 4238 T(x,y) * T(y,x) = x * y. [para(4209(a,1),4081(a,1,1))]. given #3980 (H,wt=11): 4240 K(T(x,y),T(y,x)) = K(x,y). [para(4209(a,1),4120(a,1,1))]. given #3981 (H,wt=11): 4250 (T(x,y) / y) \ x = T(y,x). [hyper(171,a,4222,a(flip))]. given #3982 (H,wt=11): 4254 T(x,y) * (x \ T(y,x)) = y. [para(4223(a,1),174(a,1,2,1))]. given #3983 (H,wt=11): 4265 R(x,y,T(x,y)) = R(x,y,x). [hyper(40,a,999,a,b,4263,a)]. given #3984 (H,wt=11): 4267 T(x,y / x) = (x \ y) \ y. [hyper(273,a,109,a(flip),b,4230,a),flip(a)]. given #3985 (H,wt=11): 4274 T(x,T(y,x / y)) = T(x,y). [para(4230(a,2),4085(a,1,2))]. given #3986 (H,wt=11): 4278 T(x / (x / y),y \ x) = y. [para(3941(a,2),4237(a,1,1))]. given #3987 (H,wt=12): 4219 R(T(x,x * y),y,x) = T(x,y). [hyper(62,a,4123,a,b,4209,a)]. given #3988 (H,wt=11): 4299 T(x,x * (y / x)) = T(x,y). [hyper(722,a,4219,a),flip(a)]. given #3989 (H,wt=11): 4300 T(x,y * x) = T(x,x * y). [hyper(719,a,4219,a)]. given #3990 (H,wt=11): 4304 T(x,(x \ y) * x) = T(x,y). [para(73(a,1),4299(a,1,2)),flip(a)]. given #3991 (H,wt=11): 4316 K(x,T(y,x * y)) = K(x,y). [para(4300(a,2),4158(a,1,2))]. given #3992 (H,wt=12): 4266 x \ T(y * x,y) = R(y,x,y). [hyper(40,a,439,a,b,4263,a)]. given #3993 (H,wt=12): 4288 x * R(y,x,y) = T(y * x,y). [para(4265(a,1),997(a,1,2))]. given #3994 (H,wt=12): 4301 T(R(x,y,x),x * y) = T(x,y). [hyper(62,a,27,a(flip),b,4219,a)]. given #3995 (H,wt=13): 4210 (x * y) / x = y * (T(y,x) \ y). [para(4206(a,2),3904(a,1,2)),flip(a)]. given #3996 (H,wt=13): 4213 K(x,y) = T(x \ T(x,y),y * x). [para(4206(a,1),4127(a,2,1))]. given #3997 (H,wt=13): 4215 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(557,a,4209,a),flip(a)]. given #3998 (H,wt=13): 4216 T((T(x,y) * y) / T(x,y),x) = y. [hyper(425,a,4209,a)]. given #3999 (H,wt=13): 4217 T(x,x \ y) \ y = T(x \ y,x). [hyper(396,a,4209,a)]. given #4000 (H,wt=13): 4221 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(62,a,4136,a(flip),b,4209,a),flip(a)]. given #4001 (H,wt=13): 4226 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4209(a,1),23(a,1,1)),flip(a)]. given #4002 (H,wt=13): 4227 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(23(a,1),4209(a,1,2))]. given #4003 (H,wt=13): 4239 T(x,y) * (y * x) = x * (x * y). [para(4209(a,1),4082(a,1,1))]. given #4004 (H,wt=13): 4245 T(x,y) = (x \ (y * x)) \ (y * x). [para(22(a,1),4218(a,1,1)),flip(a)]. given #4005 (H,wt=13): 4247 T(x / T(y,x),y) = y \ T(x,y). [hyper(212,a,4220,a,b,10,a)]. given #4006 (H,wt=13): 4249 T(x,y) = (x * (x * y)) / (y * x). [hyper(62,a,1508,a,b,4220,a),flip(a)]. given #4007 (H,wt=13): 4293 T(x * y,T(y,x)) = T(x * y,y). [para(11(a,1),4274(a,1,2,2))]. given #4008 (H,wt=13): 4296 T(x / (x / (x / y)),y) = x / y. [para(77(a,1),4278(a,1,2))]. given #4009 (H,wt=13): 4310 T(x,x * (1 / y)) = T(x,y \ x). [hyper(62,a,4103,a(flip),b,4300,a),flip(a)]. given #4010 (H,wt=13): 4319 K(x,T(x \ y,y)) = K(x,x \ y). [para(10(a,1),4316(a,1,2,2))]. given #4011 (H,wt=13): 4330 x / T(y \ x,y) = (y \ x) \ x. [hyper(176,a,4215,a(flip))]. given #4012 (H,wt=13): 4337 T(x,(1 / x) * y) = T(x,x \ y). [hyper(62,a,2741,a,b,4221,a)]. given #4013 (H,wt=13): 4348 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(10(a,1),4337(a,1,2)),flip(a)]. given #4014 (H,wt=14): 4235 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(647(a,1),4209(a,1,2))]. given #4015 (H,wt=14): 4243 T(x,y) \ x != z | y \ T(y,x) = z. [para(4208(a,1),288(a,1,2))]. given #4016 (H,wt=14): 4251 (x / T(y,x)) * y != z | T(x,y) = z. [para(4222(a,1),222(a,1,1))]. given #4017 (H,wt=12): 4350 T(x,T(y,x)) != z | T(x,y) = z. [para(4077(a,1),4251(a,1))]. given #4018 (H,wt=14): 4253 x * (T(x,y) \ y) != z | T(y,x) = z. [para(4223(a,1),222(a,1,1))]. given #4019 (H,wt=14): 4268 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(62,a,720,a,b,4230,a)]. given #4020 (H,wt=14): 4287 x / T(y,x) != z | T(x,y) / y = z. [para(4250(a,1),331(a,1,2)),flip(b)]. given #4021 (H,wt=14): 4291 T(x,y / x) != z | T(x,x \ y) = z. [para(4267(a,2),304(a,1))]. given #4022 (H,wt=14): 4302 R(T(x,y),x \ y,x) = T(x,x \ y). [para(10(a,1),4219(a,1,1,2))]. given #4023 (H,wt=14): 4312 T(x,y * z) != T(y,z * y) | y = x. [para(4300(a,2),48(a,1)),flip(a)]. given #4024 (H,wt=14): 4313 x * T(y,x * y) = L(y,x,y) * x. [para(4300(a,2),650(a,1,2))]. given #4025 (H,wt=12): 4359 T(L(x,y,x) * y,x) = y * x. [para(4313(a,1),1435(a,1,1))]. given #4026 (H,wt=13): 4357 L(x,y,(y * x) / y) = L(x,y,x). [hyper(860,a,4313,a)]. given #4027 (H,wt=14): 4320 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(10(a,1),4266(a,1,2,1)),flip(a)]. given #4028 (H,wt=14): 4353 T(x,x \ y) != z | T(x,y / x) = z. [para(110(a,1),4350(a,1,2))]. given #4029 (H,wt=14): 4354 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(1484,a,4313,a)]. given #4030 (H,wt=12): 4363 T((x * y) / x,L(x,y,x)) = y. [hyper(1283,a,4354,a)]. given #4031 (H,wt=10): 4364 T(x,L(y,x,y)) = T(x,y). [para(4363(a,1),244(a,1,1)),flip(a)]. given #4032 (H,wt=11): 4365 T(x,T(y,y * x)) = T(x,y). [hyper(62,a,4235,a,b,4364,a)]. given #4033 (H,wt=14): 4355 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(1483,a,4313,a)]. given #4034 (H,wt=14): 4356 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1482,a,4313,a)]. given #4035 (H,wt=14): 4358 T((x * y) / x,x * y) = L(y,x,y). [hyper(427,a,4313,a)]. given #4036 (H,wt=14): 4361 T(x,L(x,y,x) * y) = T(x,y * x). [para(4359(a,1),4209(a,1,2)),flip(a)]. given #4037 (H,wt=14): 4362 (x \ y) \ y != z | T(x,y / x) = z. [para(109(a,1),4353(a,1))]. given #4038 (H,wt=14): 4373 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(273,a,4300,a(flip),b,4361,a),flip(a)]. given #4039 (H,wt=15): 4205 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4198(a,2),3189(a,1,1))]. given #4040 (H,wt=15): 4207 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(273,a,3910,a(flip),b,4206,a),flip(a)]. given #4041 (H,wt=15): 4211 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4206(a,2),4034(a,1,2,1))]. given #4042 (H,wt=15): 4212 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4206(a,2),4038(a,1,1)),flip(a)]. given #4043 (H,wt=15): 4228 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(25(a,2),4209(a,1,2))]. given #4044 (H,wt=15): 4248 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(116,a,4209,a(flip),b,4220,a)]. given #4045 (H,wt=15): 4252 T(x * (y / x),x) = x * (y / T(x,y)). [para(4222(a,1),1520(a,2,2))]. given #4046 (H,wt=15): 4259 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4225(a,2),1516(a,2,1))]. given #4047 (H,wt=15): 4264 (x / y) * T(y,y \ x) = y * (x / y). [para(110(a,1),4229(a,1,2,2))]. given #4048 (H,wt=15): 4269 (x * (y / x)) / T(x,x \ y) = y / x. [para(4230(a,1),170(a,1,2))]. given #4049 (H,wt=15): 4272 (x * (y / x)) * x = y * T(x,x \ y). [para(4230(a,1),839(a,2,2))]. given #4050 (H,wt=15): 4276 T(T(x,y),T(y,x)) = T(y,x) \ (x * y). [para(4232(a,1),110(a,1,1))]. given #4051 (H,wt=13): 4384 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(62,a,4226,a(flip),b,4276,a),flip(a)]. given #4052 (H,wt=13): 4385 (x * y) / T(T(x,y),y) = T(y,x). [hyper(176,a,4384,a)]. given #4053 (H,wt=15): 4286 (T(x,y) / y) \ ((x / T(y,x)) * z) = z. [para(4250(a,1),295(a,1,2,1,2))]. given #4054 (H,wt=15): 4289 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4209(a,1),4265(a,1,3))]. given #4055 (H,wt=15): 4290 ((x / y) * ((y \ x) \ x)) / (x / y) = y. [hyper(245,a,4267,a)]. given #4056 (H,wt=15): 4292 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4267(a,1),839(a,2,2))]. given #4057 (H,wt=15): 4294 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(245,a,4278,a)]. given #4058 (H,wt=14): 4390 T(x / (x / y),y \ x) != z | y = z. [para(4294(a,1),292(a,1,1))]. given #4059 (H,wt=14): 4391 T(x / (x / y),x) = L(y,y \ x,y). [para(4294(a,1),660(a,1,1))]. given #4060 (H,wt=15): 4295 T(T(x / (x / y),z),y \ x) = T(y,z). [para(4278(a,1),23(a,1,1)),flip(a)]. given #4061 (H,wt=15): 4297 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4278(a,1),108(a,1,2)),flip(a)]. given #4062 (H,wt=15): 4303 T(x,y * z) != T(y,z) | R(y,z,y) = x. [para(4219(a,1),136(a,2))]. given #4063 (H,wt=15): 4311 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4300(a,1),23(a,1,1))]. given #4064 (H,wt=15): 4315 ((x * (y * x)) / x) / T(x,x * y) = y. [para(4300(a,1),1478(a,1,2))]. given #4065 (H,wt=15): 4321 x * R(y,x,y) != z | T(y * x,y) = z. [para(4266(a,1),225(a,1,2))]. given #4066 (H,wt=15): 4323 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4288(a,1),288(a,1,2))]. given #4067 (H,wt=15): 4328 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4210(a,2),4139(a,1,2)),flip(a)]. given #4068 (H,wt=15): 4344 (x * (y / x)) / x = y / (y / (y / x)). [hyper(245,a,4296,a)]. given #4069 (H,wt=15): 4366 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4364(a,1),108(a,1,2))]. given #4070 (H,wt=15): 4376 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(74(a,1),4205(a,1,1,1,2)),flip(a)]. given #4071 (H,wt=15): 4377 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(62,a,4129,a(flip),b,4207,a)]. given #4072 (H,wt=15): 4382 (x * T(y,y \ x)) / y = y * (x / y). [hyper(128,a,4272,a)]. given #4073 (H,wt=15): 4396 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(62,a,1554,a,b,4297,a)]. given #4074 (H,wt=15): 4397 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(424,a,4311,a),flip(a)]. given #4075 (H,wt=15): 4401 K(x \ y,x) \ x = x * K(x,y / x). [hyper(62,a,3956,a(flip),b,4376,a),flip(a)]. given #4076 (H,wt=13): 4405 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3622,a,4401,a)]. given #4077 (H,wt=13): 4406 K(x,(x * y) / x) = K(y,x) \ 1. [para(9(a,1),4405(a,1,1,1)),flip(a)]. given #4078 (H,wt=11): 4407 K(T(x,y),y) \ 1 = K(y,x). [para(199(a,1),4406(a,1,2)),flip(a)]. given #4079 (H,wt=8): 4412 R(x,K(x,y),z) = x. [para(4407(a,1),4051(a,1,2))]. given #4080 (H,wt=11): 4411 K(T(x,y),y) * K(y,x) = 1. [hyper(131,a,4407,a)]. given #4081 (H,wt=12): 4414 R(T(x,y),K(x,z),u) = T(x,y). [para(4412(a,1),27(a,2,1))]. given #4082 (H,wt=14): 4419 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4411(a,1),288(a,1,2))]. given #4083 (H,wt=15): 4403 ((x \ y) * x) * (y / x) = y * (x \ y). [hyper(129,a,4396,a)]. given #4084 (H,wt=15): 4408 (K(x,y) \ 1) * (K(T(y,x),x) \ z) = z. [para(4406(a,1),4144(a,1,1))]. given #4085 (H,wt=15): 4409 K(T(x,y),y) * ((K(y,x) \ 1) \ z) = z. [para(4406(a,1),4145(a,1,2,1))]. given #4086 (H,wt=15): 4418 (x * K(x,y)) * y = x * (y * K(x,y)). [para(4412(a,1),3229(a,1,1)),flip(a)]. given #4087 (H,wt=15): 4423 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(62,a,4165,a(flip),b,4418,a)]. given #4088 (H,wt=16): 4241 T(x,y) != y * z | T(x / T(y,x),y) = z. [para(4209(a,1),4101(a,1))]. given #4089 (H,wt=16): 4242 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4209(a,1),4124(a,1,2)),flip(a)]. given #4090 (H,wt=16): 4326 ((x * y) * T(x,y)) / (x * y) = R(x,y,x). [hyper(245,a,4301,a)]. given #4091 (H,wt=16): 4334 T(x,y) != z | (T(y,z) * z) / T(y,z) = x. [para(4216(a,1),48(a,1)),flip(a)]. given #4092 (H,wt=16): 4352 T(x,T(T(y,x),z)) != u | T(x,T(y,z)) = u. [para(23(a,1),4350(a,1,2))]. given #4093 (H,wt=16): 4375 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4373(a,1),1485(a,1,1))]. given #4094 (H,wt=17): 4231 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4209(a,1),209(a,1,2,1))]. given #4095 (H,wt=17): 4256 (x / T(T(y,x),z)) \ T(x,T(y,z)) = T(y,z). [para(23(a,1),4224(a,1,1,2))]. given #4096 (H,wt=17): 4306 (x * (x * (y / x))) / x = T(x,y) * (y / x). [para(4299(a,1),4070(a,2,1))]. given #4097 (H,wt=17): 4317 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(4304(a,1),108(a,1,2))]. given #4098 (H,wt=17): 4318 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(4304(a,1),1437(a,2,2))]. given #4099 (H,wt=17): 4349 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [para(4348(a,1),197(a,1,2))]. given #4100 (H,wt=17): 4374 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(656(a,1),4361(a,1,2))]. given #4101 (H,wt=13): 4427 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(273,a,4304,a(flip),b,4374,a),flip(a)]. given #4102 (H,wt=16): 4428 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4427(a,1),1477(a,1,1))]. given #4103 (H,wt=17): 4378 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(33,a,1004,a,b,4211,a),flip(a)]. given #4104 (H,wt=17): 4379 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(273,a,4138,a,b,4212,a)]. given #4105 (H,wt=17): 4395 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4391(a,2),437(a,1,2))]. given #4106 (H,wt=17): 4430 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(62,a,1170,a,b,4379,a)]. given #4107 (H,wt=18): 4204 K(x \ (x / y),x) != z \ x | T(x,y \ 1) = z. [para(4198(a,2),47(a,1))]. given #4108 (H,wt=18): 4246 T(x,y) * T(y,x) != z * u | (x * y) / u = z. [para(4218(a,1),284(a,1,2))]. given #4109 (H,wt=18): 4255 x * (T(x,y) \ y) != z * u | T(y,x) / u = z. [para(4223(a,1),376(a,1,1))]. given #4110 (H,wt=16): 4432 T(x,T(y,x)) != z * u | T(x,y) / u = z. [para(956(a,1),4255(a,1))]. given #4111 (H,wt=18): 4282 T(x,y) * z != y * x | T(T(y,x),T(x,y)) = z. [para(4238(a,1),213(a,2))]. given #4112 (H,wt=18): 4324 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4288(a,1),1417(a,1,1))]. given #4113 (H,wt=18): 4367 L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. [para(4364(a,1),252(a,1,2))]. given #4114 (H,wt=18): 4392 T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). [para(4391(a,1),23(a,1,1)),flip(a)]. given #4115 (H,wt=18): 4394 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(74(a,1),4391(a,1,1,2)),flip(a)]. given #4116 (H,wt=18): 4400 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4366(a,1),43(a,1)),flip(a)]. given #4117 (H,wt=18): 4404 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4397(a,2),424(a,1))]. given #4118 (H,wt=18): 4422 (K(x,y) \ 1) * z != u | K(T(y,x),x) \ u = z. [para(4408(a,1),42(a,1)),flip(a)]. given #4119 (H,wt=18): 4434 T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). [hyper(273,a,25,a,b,4392,a),flip(a)]. given #4120 (H,wt=19): 4196 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4169(a,1),3929(a,1,1)),flip(a)]. given #4121 (H,wt=17): 4435 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(273,a,3931,a(flip),b,4196,a),flip(a)]. given #4122 (H,wt=15): 4436 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4350,a,4435,a),flip(a)]. given #4123 (H,wt=13): 4437 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4350,a,4436,a),flip(a)]. given #4124 (H,wt=13): 4439 T(x,y / (z * y)) = T(x,z \ 1). [para(9(a,1),4437(a,1,2,1))]. given #4125 (H,wt=13): 4440 T(x,(y / z) \ 1) = T(x,z / y). [para(77(a,1),4437(a,1,2,1)),flip(a)]. given #4126 (H,wt=16): 4438 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4436(a,1),4350(a,1))]. given #4127 (H,wt=16): 4448 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(77(a,1),4438(a,1,2,1))]. given #4128 (H,wt=19): 4203 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4197(a,2),1563(a,1,1))]. given #4129 (H,wt=19): 4233 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4209(a,1),210(a,1,2,1))]. given #4130 (H,wt=18): 4450 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(645(a,1),4233(a,1,2))]. given #4131 (H,wt=16): 4451 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(273,a,4366,a(flip),b,4450,a),flip(a)]. given #4132 (H,wt=16): 4453 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4300(a,2),4451(a,1,2))]. given #4133 (H,wt=17): 4454 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(62,a,657,a,b,4453,a)]. given #4134 (H,wt=11): 4456 L(x,T(y,x),x) = L(x,y,x). [hyper(4400,a,4454,a),flip(a)]. given #4135 (H,wt=13): 4457 L(x,y / x,x) = L(x,x \ y,x). [para(110(a,1),4456(a,1,2)),flip(a)]. given #4136 (H,wt=19): 4234 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4209(a,1),211(a,1,2,1))]. given #4137 (H,wt=19): 4305 T(x,x * T(y / x,z)) = T(x,x * T(x \ y,z)). [para(420(a,1),4299(a,1,2,2))]. given #4138 (H,wt=19): 4307 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(4299(a,1),4220(a,1,1,2))]. given #4139 (H,wt=19): 4308 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4299(a,1),4254(a,1,1))]. given #4140 (H,wt=15): 4463 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1521(a,1),4308(a,1,2))]. given #4141 (H,wt=15): 4464 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4222(a,1),4463(a,1,2))]. given #4142 (H,wt=18): 4465 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4464(a,1),42(a,1)),flip(a)]. given #4143 (H,wt=19): 4322 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4266(a,1),96(a,1,1)),flip(a)]. given #4144 (H,wt=19): 4327 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(4301(a,1),333(a,1,1,2)),flip(b)]. given #4145 (H,wt=19): 4329 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(273,a,3977,a(flip),b,4213,a)]. given #4146 (H,wt=17): 4466 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4221(a,1),4329(a,1,2,2,1))]. given #4147 (H,wt=17): 4467 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(131,a,4466,a),flip(a)]. given #4148 (H,wt=13): 4468 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3979,a,4467,a)]. given #4149 (H,wt=17): 4469 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(62,a,3994,a,b,4468,a)]. given #4150 (H,wt=13): 4471 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(273,a,3635,a(flip),b,4469,a),flip(a)]. given #4151 (H,wt=13): 4472 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(62,a,3717,a,b,4471,a)]. given #4152 (H,wt=13): 4473 K((x \ 1) * y,x) = K(x \ y,x). [para(9(a,1),4471(a,1,1,2)),flip(a)]. given #4153 (H,wt=13): 4474 K((1 / x) * y,x) = K(x \ y,x). [para(9(a,1),4472(a,1,1,2)),flip(a)]. given #4154 (H,wt=15): 4476 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(22(a,2),4474(a,2,1))]. given #4155 (H,wt=17): 4470 (x \ y) * K(y,x \ 1) = y * ((x \ y) / y). [para(4468(a,1),261(a,1,2))]. given #4156 (H,wt=17): 4475 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [hyper(62,a,3721,a(flip),b,4474,a),flip(a)]. given #4157 (H,wt=17): 4477 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(74(a,1),4474(a,1,1,1)),flip(a)]. given #4158 (H,wt=17): 4478 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(830(a,1),4476(a,1,1))]. given #4159 (H,wt=17): 4480 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(62,a,3719,a(flip),b,4478,a)]. given #4160 (H,wt=17): 4481 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4480(a,1),4407(a,1,1))]. given #4161 (H,wt=13): 4482 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4419,a,4481,a),flip(a)]. given #4162 (H,wt=13): 4484 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(10(a,1),4482(a,1,2)),flip(a)]. given #4163 (H,wt=17): 4483 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(62,a,3496,a(flip),b,4482,a),flip(a)]. given #4164 (H,wt=19): 4339 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(25(a,2),4226(a,1,2))]. given #4165 (H,wt=19): 4342 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(4239(a,1),841(a,1,1))]. given #4166 (H,wt=13): 4486 K(x * y,T(y,x)) = K(y * x,y). [hyper(294,a,4342,a),flip(a)]. given #4167 (H,wt=16): 4487 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(4342(a,1),294(a,1))]. given #4168 (H,wt=19): 4402 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(592(a,1),4382(a,1,1,2))]. given #4169 (H,wt=15): 4488 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(62,a,4396,a(flip),b,4402,a),flip(a)]. given #4170 (H,wt=19): 4421 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(77(a,1),4403(a,1,1,1))]. given #4171 (H,wt=15): 4489 (x * (y / x)) * (y / (y / x)) = y * x. [para(77(a,1),4421(a,2,2))]. given #4172 (H,wt=19): 4449 T(T(x,y \ 1) \ x,z) = T(x,T(y,z) \ 1) \ x. [hyper(273,a,4198,a(flip),b,4203,a),flip(a)]. given #4173 (H,wt=19): 4452 T(x,y) * T(y,y * x) != x * z | L(y,x,y) = z. [para(4451(a,2),42(a,1))]. given #4174 (H,wt=19): 4455 T(x,y) * T(y,x * y) != x * z | L(y,x,y) = z. [para(4453(a,2),42(a,1))]. given #4175 (H,wt=19): 4490 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(11(a,1),4489(a,1,1,2))]. given #4176 (H,wt=15): 4492 (x * y) * ((y * x) / y) = (y * x) * x. [para(11(a,1),4490(a,1,2,2))]. given #4177 (H,wt=19): 4493 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(524,a,4492,a)]. given #4178 (H,wt=15): 4494 ((x \ y) * x) * x = y * (y / (y / x)). [para(4294(a,1),4493(a,1,2)),flip(a)]. given #4179 (H,wt=20): 4275 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(27(a,2),4232(a,1,2))]. given #4180 (H,wt=20): 4314 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4300(a,2),655(a,1,2,1))]. given #4181 (H,wt=20): 4335 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(273,a,4141,a(flip),b,4217,a),flip(a)]. given #4182 (H,wt=20): 4393 R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). [para(4391(a,2),29(a,1,1))]. given #4183 (H,wt=20): 4399 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4344(a,1),794(a,1,1))]. given #4184 (H,wt=20): 4424 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(4423(a,1),369(a,1,2))]. given #4185 (H,wt=20): 4431 T(x,y) * (x \ z) != x * u | ((y * x) / y) \ z = u. [para(4379(a,1),42(a,1))]. given #4186 (H,wt=20): 4459 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4219(a,1),4234(a,1,2)),flip(a)]. given #4187 (H,wt=19): 4498 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(273,a,4324,a(flip),b,4459,a),flip(a)]. given #4188 (H,wt=20): 4460 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4268(a,1),4234(a,1,2)),flip(a)]. given #4189 (H,wt=20): 4461 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4302(a,1),4234(a,1,2)),flip(a)]. given #4190 (H,wt=13): 4500 R(x,y / x,x) = R(x,x \ y,x). [hyper(34,a,4460,a,b,4461,a)]. given #4191 (H,wt=13): 4502 R(x,(x * y) / x,x) = R(x,y,x). [para(9(a,1),4500(a,2,2))]. given #4192 (H,wt=11): 4504 R(x,T(y,x),x) = R(x,y,x). [para(199(a,1),4502(a,1,2)),flip(a)]. given #4193 (H,wt=13): 4505 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(62,a,4289,a,b,4504,a)]. given #4194 (H,wt=16): 4503 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(4500(a,1),470(a,1,1))]. given #4195 (H,wt=17): 4506 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(4505(a,1),27(a,2,1))]. given #4196 (H,wt=17): 4509 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(273,a,27,a,b,4506,a),flip(a)]. given #4197 (H,wt=19): 4507 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4505(a,1),31(a,1,1)),flip(a)]. given #4198 (H,wt=19): 4508 (x * (y / x)) * x != z * y | R(x,x \ y,x) = z. [para(4503(a,1),43(a,1))]. given #4199 (H,wt=20): 4479 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(4470(a,2),42(a,1))]. given #4200 (H,wt=20): 4497 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4314(a,1),1960(a,1,1))]. given #4201 (H,wt=21): 4381 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4222(a,1),4264(a,1,1))]. given #4202 (H,wt=21): 4415 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4412(a,1),475(a,1,1,1)),flip(a)]. given #4203 (H,wt=11): 4511 L(x,K(y,z),L(y,u,w)) = x. [hyper(450,a,4415,a)]. given #4204 (H,wt=8): 4513 L(x,K(y,z),y) = x. [para(320(a,1),4511(a,1,3))]. given #4205 (H,wt=11): 4514 L(x,K(y,z),y) != u | u = x. [para(4513(a,1),49(a,1)),flip(a)]. given #4206 (H,wt=21): 4416 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4412(a,1),476(a,1,1,1)),flip(a)]. given #4207 (H,wt=21): 4429 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(273,a,1228,a(flip),b,4378,a)]. given #4208 (H,wt=21): 4433 T(x * y,x) * T(x,y) != (x * y) * z | R(x,y,x) = z. [para(4324(a,2),42(a,1))]. given #4209 (H,wt=21): 4491 T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. [hyper(273,a,3983,a(flip),b,4449,a),flip(a)]. given #4210 (H,wt=17): 4516 T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). [para(3127(a,1),4491(a,1,1,1)),flip(a)]. given #4211 (H,wt=17): 4517 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). [hyper(176,a,4516,a)]. given #4212 (H,wt=17): 4518 T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). [hyper(62,a,3323,a(flip),b,4517,a)]. given #4213 (H,wt=21): 4510 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(4509(a,1),27(a,2,1))]. given #4214 (H,wt=21): 4512 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3152(a,1),4415(a,1,1))]. given #4215 (H,wt=21): 4515 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(62,a,1666,a(flip),b,4429,a),flip(a)]. given #4216 (H,wt=21): 4520 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(273,a,27,a,b,4510,a),flip(a)]. given #4217 (H,wt=22): 4098 ((x * y) / x) * z != T(x,y) | T(x / y,(x * y) / x) = z. [para(4075(a,2),213(a,2))]. given #4218 (H,wt=22): 4143 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4142(a,1),88(a,1,1))]. given #4219 (H,wt=22): 4193 T(x,y \ 1) \ z != x \ (y \ x) | y \ T(x,y \ 1) = z. [para(4192(a,1),46(a,1)),flip(a)]. given #4220 (H,wt=22): 4281 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4238(a,1),18(a,2,1)),flip(a)]. given #4221 (H,wt=22): 4284 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(4238(a,1),96(a,2,1))]. given #4222 (H,wt=22): 4285 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4238(a,1),104(a,1,2))]. given #4223 (H,wt=22): 4343 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(4239(a,1),1280(a,2,2,1)),flip(a)]. given #4224 (H,wt=22): 4347 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4296(a,1),692(a,1,1))]. given #4225 (H,wt=20): 4522 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(273,a,629,a(flip),b,4347,a),flip(a)]. given #4226 (H,wt=22): 4351 ((x * (y / x)) / T(x,y)) * x != z | T(x * (y / x),x) = z. [para(4299(a,1),4251(a,1,1,2))]. given #4227 (H,wt=22): 4389 (x * (y / x)) * x != z * u | (y * T(x,x \ y)) / u = z. [para(4292(a,2),631(a,1))]. given #4228 (H,wt=22): 4447 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4440(a,1),4009(a,1,1,2))]. given #4229 (H,wt=18): 4524 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(11(a,1),4447(a,1,1,2,2))]. given #4230 (H,wt=14): 4525 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(62,a,3237,a(flip),b,4524,a),flip(a)]. given #4231 (H,wt=17): 4526 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4525(a,1),3922(a,1,1))]. given #4232 (H,wt=15): 4528 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(80(a,1),4526(a,1,2))]. given #4233 (H,wt=15): 4530 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(109(a,1),4528(a,1,1,2))]. given #4234 (H,wt=15): 4531 x / ((y \ x) * y) = y \ ((y \ x) \ x). [hyper(176,a,4530,a)]. given #4235 (H,wt=15): 4532 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(273,a,4148,a,b,4531,a)]. given #4236 (H,wt=18): 4527 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3934,a,4526,a)]. given #4237 (H,wt=17): 4534 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(273,a,226,a(flip),b,4527,a),flip(a)]. given #4238 (H,wt=17): 4537 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3975(a,1),4534(a,1,3))]. given #4239 (H,wt=18): 4538 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(273,a,456,a(flip),b,4537,a),flip(a)]. given #4240 (H,wt=19): 4536 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [para(199(a,1),4534(a,1,3)),flip(a)]. given #4241 (H,wt=20): 4535 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(199(a,1),4527(a,1,3)),flip(a)]. given #4242 (H,wt=23): 4053 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(62,a,3987,a(flip),b,4038,a),flip(a)]. given #4243 (H,wt=23): 4054 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(62,a,3592,a(flip),b,4038,a),flip(a)]. given #4244 (H,wt=21): 4541 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3068(a,1),4054(a,1,2))]. given #4245 (H,wt=23): 4189 (((1 / x) * (x * y)) \ (x * y)) \ (x * y) = (1 / x) * (y * x). [hyper(62,a,833,a(flip),b,4187,a),flip(a)]. given #4246 (H,wt=22): 4543 (L(x,y,1 / y) \ (y * x)) \ (y * x) = (1 / y) * (x * y). [para(228(a,1),4189(a,1,1,1))]. given #4247 (H,wt=23): 4236 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(4209(a,1),586(a,1,2,1,1))]. given #4248 (H,wt=23): 4257 T(x / T(y,x),z) * T(y,x) = T(y,x) * T(y \ T(x,y),z). [para(4225(a,1),417(a,2,2,1))]. given #4249 (H,wt=15): 4545 T(T(x,y) \ y,z) = T(x \ T(y,x),z). [hyper(623,a,4257,a)]. given #4250 (H,wt=23): 4260 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4225(a,1),2027(a,1,2,1))]. given #4251 (H,wt=23): 4273 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(4230(a,2),3971(a,1,2,1))]. given #4252 (H,wt=23): 4277 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4232(a,1),1464(a,1,1)),flip(a)]. given #4253 (H,wt=21): 4546 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(273,a,4231,a(flip),b,4277,a),flip(a)]. given #4254 (H,wt=23): 4309 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(62,a,27,a,b,4300,a)]. given #4255 (H,wt=23): 4332 T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. [para(4186(a,2),4215(a,2,1))]. given #4256 (H,wt=23): 4333 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [para(4187(a,2),4215(a,2,1))]. given #4257 (H,wt=23): 4338 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4221(a,1),4006(a,2,1,2))]. given #4258 (H,wt=19): 4548 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(273,a,4112,a(flip),b,4338,a),flip(a)]. given #4259 (H,wt=23): 4341 T(x,T(T(y,x),z \ T(y,x))) = T(x,T(y,T(y,x) * (z \ 1))). [para(1678(a,1),4227(a,1,2))]. given #4260 (H,wt=21): 4549 T(x,T(y,T(y,x) * (z \ 1))) = T(x,T(y,z \ T(y,x))). [hyper(4352,a,4341,a),flip(a)]. given #4261 (H,wt=23): 4368 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4365(a,1),210(a,1,2,1))]. given #4262 (H,wt=23): 4369 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4365(a,1),211(a,1,2,1))]. given #4263 (H,wt=23): 4383 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(116,a,4272,a(flip),b,1433,a)]. given #4264 (H,wt=23): 4387 (x * ((y \ x) \ x)) * K(y,y * (x / y)) = y * (y * (x / y)). [para(4292(a,1),86(a,1,1))]. given #4265 (H,wt=23): 4425 (x * y) * T(x,y) != (x * y) * z | T(R(x,y,x),x * y) = z. [para(4242(a,1),213(a,2)),flip(a)]. given #4266 (H,wt=23): 4462 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(T(y,x) / x,z)). [para(4225(a,2),4305(a,2,2,2,1)),flip(a)]. given #4267 (H,wt=23): 4495 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4225(a,1),4494(a,1,1,1))]. given #4268 (H,wt=23): 4501 T(x,y) * T(y,y \ x) != z * T(x,y) | R(y,y \ x,y) = z. [para(4461(a,1),43(a,1))]. given #4269 (H,wt=23): 4539 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(4538(a,1),3338(a,1,2,2,1,2))]. given #4270 (H,wt=19): 4552 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(413(a,1),4539(a,1,2)),flip(a)]. given #4271 (H,wt=10): 4555 L(x,T(y,z),K(u,y)) = x. [hyper(450,a,4552,a)]. given #4272 (H,wt=8): 4556 L(x,y,K(z,y)) = x. [para(107(a,1),4555(a,1,2))]. given #4273 (H,wt=8): 4558 a(K(x,y),y,z) = 1. [hyper(52,a,4556,a)]. given #4274 (H,wt=10): 4559 L(x,y,T(y,z) \ y) = x. [para(3193(a,1),4556(a,1,3))]. given #4275 (H,wt=12): 4554 R(K(x,y),T(y,z),u) = K(x,y). [hyper(478,a,4552,a)]. given #4276 (H,wt=10): 4562 R(K(x,y),y,z) = K(x,y). [para(107(a,1),4554(a,1,2))]. given #4277 (H,wt=14): 4561 L(x,T(y,z) \ y,y) = y * (y \ x). [para(4559(a,1),4005(a,1,2)),flip(a)]. given #4278 (H,wt=10): 4563 L(x,T(y,z) \ y,y) = x. [hyper(273,a,10,a(flip),b,4561,a),flip(a)]. given #4279 (H,wt=8): 4567 L(x,K(y,z),z) = x. [para(4199(a,2),4563(a,1,2))]. given #4280 (H,wt=11): 4569 L(x,K(y,z),z) != u | x = u. [para(4567(a,1),49(a,2))]. given #4281 (H,wt=15): 4557 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(1095,a,4556,a),flip(a)]. given #4282 (H,wt=15): 4568 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(1095,a,4567,a),flip(a)]. given #4283 (H,wt=8): 4573 R(x,K(y,x),z) = x. [hyper(478,a,4568,a)]. given #4284 (H,wt=12): 4575 R(T(x,y),K(z,x),u) = T(x,y). [para(4573(a,1),27(a,2,1))]. given #4285 (H,wt=15): 4570 (x * (K(y,x) * z)) / z = x * K(y,x). [para(4567(a,1),169(a,1,2))]. given #4286 (H,wt=15): 4572 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3204(a,1),4557(a,1,1))]. given #4287 (H,wt=15): 4582 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(273,a,144,a(flip),b,4572,a),flip(a)]. given #4288 (H,wt=15): 4583 (x * K(y,x)) \ z = x \ (K(y,x) \ z). [hyper(115,a,70,a(flip),b,4572,a)]. given #4289 (H,wt=15): 4584 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(62,a,4568,a(flip),b,4572,a),flip(a)]. given #4290 (H,wt=15): 4585 (x * (K(y,x) * z)) / (x * z) = K(y,x). [hyper(116,a,4568,a(flip),b,4572,a(flip))]. given #4291 (H,wt=15): 4587 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(62,a,4568,a(flip),b,4582,a)]. given #4292 (H,wt=17): 4560 (K(x,y) * (y * z)) * 1 = (y * K(x,y)) * z. [para(4558(a,1),3230(a,1,2))]. given #4293 (H,wt=18): 4580 x / y != z * K(u,z) | z * (K(u,z) * y) = x. [para(4570(a,1),45(a,1)),flip(a)]. given #4294 (H,wt=18): 4586 (x * K(y,x)) * (x \ z) != u | K(y,x) * z = u. [para(4572(a,2),287(a,1))]. given #4295 (H,wt=18): 4591 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4584(a,1),287(a,1))]. given #4296 (H,wt=18): 4594 K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. [para(4585(a,1),222(a,1,1))]. given #4297 (H,wt=18): 4598 (x * K(y,x)) * z != u | K(y,x) * (x * z) = u. [para(4560(a,1),125(a,1))]. given #4298 (H,wt=19): 4576 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4573(a,1),474(a,1,1,1)),flip(a)]. given #4299 (H,wt=10): 4601 L(x,K(y,z),T(z,u)) = x. [hyper(450,a,4576,a)]. given #4300 (H,wt=13): 4602 L(x,K(y,z),T(z,u)) != w | x = w. [para(4601(a,1),49(a,2))]. given #4301 (H,wt=20): 4600 (1 / (1 / x)) * y != z | x * (K(x \ 1,x) * y) = z. [para(2768(a,1),4594(a,1))]. given #4302 (H,wt=21): 4581 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(527,a,4572,a)]. given #4303 (H,wt=11): 4603 T(x,y * K(x,y)) = T(x,y). [hyper(4424,a,4581,a),flip(a)]. given #4304 (H,wt=22): 4571 (x * K(y,x)) * z != u * w | (x * (K(y,x) * z)) / w = u. [para(4567(a,1),533(a,1,2))]. given #4305 (H,wt=22): 4579 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(273,a,3974,a(flip),b,4575,a),flip(a)]. given #4306 (H,wt=16): 4605 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3974(a,1),4579(a,1,1))]. given #4307 (H,wt=15): 4606 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(62,a,3335,a(flip),b,4605,a)]. given #4308 (H,wt=15): 4608 (K(x,y) \ y) * (K(x,y) * z) = y * z. [hyper(129,a,4606,a)]. given #4309 (H,wt=13): 4609 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(4151,a,4608,a)]. given #4310 (H,wt=13): 4610 K(T(x,y),y) \ z = K(y,x) * z. [hyper(4422,a,4609,a)]. given #4311 (H,wt=13): 4612 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(122,a,4609,a)]. given #4312 (H,wt=13): 4614 K(T(x,y),y) * z = K(y,x) \ z. [hyper(286,a,4610,a)]. given #4313 (H,wt=16): 4615 x \ y != K(z,u) * y | K(T(u,z),z) = x. [para(4610(a,1),47(a,1)),flip(a)]. given #4314 (H,wt=16): 4616 x \ y != K(T(z,u),u) * y | K(u,z) = x. [para(4614(a,2),47(a,1)),flip(a)]. given #4315 (H,wt=22): 4595 K(x,y) * (y * z) != u * w | u \ (y * (K(x,y) * z)) = w. [para(4585(a,1),283(a,1,1))]. given #4316 (H,wt=23): 4540 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4038(a,1),4053(a,2,2))]. given #4317 (H,wt=23): 4550 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(62,a,2453,a(flip),b,4383,a),flip(a)]. given #4318 (H,wt=19): 4617 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(4351,a,4550,a),flip(a)]. given #4319 (H,wt=19): 4618 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(273,a,1520,a(flip),b,4617,a),flip(a)]. given #4320 (H,wt=13): 4619 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(33,a,4381,a,b,4618,a)]. given #4321 (H,wt=13): 4622 T(x,T(x,y) \ y) = T(x,x \ y). [para(4225(a,2),4619(a,1,2))]. given #4322 (H,wt=15): 4621 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4619(a,1),236(a,1,2))]. given #4323 (H,wt=17): 4623 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(9(a,1),4621(a,1,2,2))]. given #4324 (H,wt=22): 4620 (x / T(y,x)) * z != y * (T(x,y) / y) | T(y,y \ x) = z. [para(4618(a,1),42(a,1)),flip(a)]. given #4325 (H,wt=24): 4071 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(4065(a,1),18(a,2,1)),flip(a)]. given #4326 (H,wt=24): 4096 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(4073(a,2),1284(a,1,1,1))]. given #4327 (H,wt=24): 4150 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(62,a,3923,a,b,4138,a)]. given #4328 (H,wt=15): 4625 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4525(a,1),4150(a,1,1))]. given #4329 (H,wt=15): 4626 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4153,a,4625,a),flip(a)]. given #4330 (H,wt=15): 4627 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4057,a,4625,a),flip(a)]. given #4331 (H,wt=15): 4628 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(273,a,4212,a,b,4625,a),flip(a)]. given #4332 (H,wt=15): 4636 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(115,a,10,a(flip),b,4627,a)]. given #4333 (H,wt=15): 4637 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(62,a,4212,a,b,4627,a)]. given #4334 (H,wt=15): 4638 ((x * y) / x) \ (T(x,y) * y) = T(x,y). [hyper(212,a,4627,a(flip),b,4138,a),flip(a)]. given #4335 (H,wt=15): 4642 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4627(a,1),4211(a,1,2)),flip(a)]. given #4336 (H,wt=15): 4644 ((x * y) / x) * T(x,y) = T(x,y) * y. [hyper(131,a,4638,a)]. given #4337 (H,wt=17): 4632 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(62,a,4378,a(flip),b,4626,a)]. given #4338 (H,wt=17): 4639 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(115,a,4627,a(flip),b,4138,a),flip(a)]. given #4339 (H,wt=17): 4641 T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). [para(4627(a,1),4041(a,1,2)),flip(a)]. given #4340 (H,wt=17): 4643 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(115,a,4526,a(flip),b,4628,a(flip)),flip(a)]. given #4341 (H,wt=17): 4646 x \ ((x * y) * T(x,y)) = T(T(x,y) * y,x). [para(4644(a,1),1463(a,1,1)),flip(a)]. given #4342 (H,wt=18): 4629 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4625(a,1),4153(a,1))]. given #4343 (H,wt=18): 4645 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4642(a,1),4281(a,1,2))]. given #4344 (H,wt=13): 4650 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(453,a,4645,a),flip(a)]. given #4345 (H,wt=16): 4651 L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. [para(4645(a,1),453(a,1))]. given #4346 (H,wt=17): 4653 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(110(a,1),4650(a,1,2))]. given #4347 (H,wt=17): 4654 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4230(a,1),4653(a,1,3))]. given #4348 (H,wt=18): 4648 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(62,a,4071,a(flip),b,4639,a),flip(a)]. given #4349 (H,wt=15): 4655 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(682,a,4648,a),flip(a)]. given #4350 (H,wt=18): 4652 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(62,a,4284,a(flip),b,4650,a)]. given #4351 (H,wt=16): 4656 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(8(a,1),4652(a,1,2)),flip(a)]. given #4352 (H,wt=19): 4647 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(888,a,4632,a)]. given #4353 (H,wt=20): 4640 (T(x,y) \ x) * (T(x,y) * z) != z * u | T(x,z) = u. [para(4627(a,2),213(a,2)),flip(a)]. given #4354 (H,wt=21): 4631 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(62,a,4515,a(flip),b,4626,a),flip(a)]. given #4355 (H,wt=22): 4649 T(T(x,y) * y,x) / (x \ (x * y)) = R(x,y,y \ (x * y)). [para(4646(a,1),1084(a,1,1))]. given #4356 (H,wt=18): 4657 T(T(x,y) * y,x) / y = R(x,y,y \ (x * y)). [para(9(a,1),4649(a,1,2))]. given #4357 (H,wt=16): 4658 T(T(x,y) * y,x) / y = R(x,y,T(x,y)). [para(22(a,2),4657(a,2,3))]. given #4358 (H,wt=16): 4659 R(x,y,T(x,y)) * y = T(T(x,y) * y,x). [hyper(129,a,4658,a)]. given #4359 (H,wt=14): 4660 T(T(x,y) * y,x) = R(x,y,x) * y. [para(4265(a,1),4659(a,1,1)),flip(a)]. given #4360 (H,wt=24): 4171 ((x \ y) / y) \ T((x \ y) / y,z) != u | x * T(x \ 1,z) = u. [para(4108(a,1),1055(a,1))]. given #4361 (H,wt=22): 4662 x \ ((y \ x) / ((y \ x) / x)) != z | y * T(y \ 1,x) = z. [para(3910(a,1),4171(a,1))]. given #4362 (H,wt=18): 4663 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(4178(a,1),4662(a,1))]. given #4363 (H,wt=18): 4665 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(4198(a,2),4663(a,1))]. given #4364 (H,wt=24): 4279 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4238(a,1),14(a,2,1,2)),flip(a)]. given #4365 (H,wt=24): 4280 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4238(a,1),14(a,2,2,1)),flip(a)]. given #4366 (H,wt=20): 4666 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4642(a,1),4280(a,1,1))]. given #4367 (H,wt=13): 4667 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(636,a,4666,a),flip(a)]. given #4368 (H,wt=16): 4668 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4666(a,1),636(a,1))]. given #4369 (H,wt=24): 4331 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4215(a,1),685(a,1,1))]. given #4370 (H,wt=24): 4521 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4507(a,1),4285(a,1,1)),flip(a)]. given #4371 (H,wt=21): 4669 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(273,a,476,a(flip),b,4521,a),flip(a)]. given #4372 (H,wt=18): 4670 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1080(a,1),4669(a,1,1))]. given #4373 (H,wt=17): 4671 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(62,a,4324,a(flip),b,4670,a),flip(a)]. given #4374 (H,wt=20): 4673 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4671(a,1),328(a,1,2))]. given #4375 (H,wt=21): 4672 T(x * y,x) * T(x,y) != z * x | R(x,y,x) * y = z. [para(4670(a,2),43(a,1))]. given #4376 (H,wt=24): 4590 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4584(a,1),104(a,2,1))]. given #4377 (H,wt=24): 4624 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [hyper(273,a,4457,a(flip),b,4096,a),flip(a)]. given #4378 (H,wt=20): 4674 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(9(a,1),4624(a,2,2))]. given #4379 (H,wt=11): 4675 L(x,y,T(x,y)) = L(x,y,x). [hyper(62,a,4343,a(flip),b,4674,a)]. given #4380 (H,wt=24): 4661 R(x,T(x \ y,z),x) * T(x \ y,z) = T(x * T(y / x,z),x). [para(4095(a,1),4660(a,1,1)),flip(a)]. given #4381 (H,wt=25): 4117 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(116,a,4115,a(flip),b,1434,a)]. given #4382 (H,wt=25): 4152 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4102(a,1),4146(a,1,1))]. given #4383 (H,wt=15): 4676 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(273,a,4263,a(flip),b,4152,a),flip(a)]. given #4384 (H,wt=13): 4678 T(x,x \ T(x * y,y)) = T(x,y). [para(4676(a,1),4087(a,1,2)),flip(a)]. given #4385 (H,wt=13): 4679 K(x,x \ T(x * y,y)) = K(x,y). [para(4676(a,1),4319(a,1,2)),flip(a)]. given #4386 (H,wt=14): 4680 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4678(a,1),4335(a,1,1))]. given #4387 (H,wt=16): 4681 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(62,a,4143,a,b,4679,a),flip(a)]. given #4388 (H,wt=15): 4683 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4288(a,1),4681(a,2,1))]. given #4389 (H,wt=13): 4684 K(x \ T(x * y,x),x) = K(y,x). [hyper(273,a,1525,a(flip),b,4683,a)]. given #4390 (H,wt=13): 4685 K(x \ T(y,x),x) = K(x \ y,x). [para(10(a,1),4684(a,1,1,2,1))]. given #4391 (H,wt=13): 4687 K(T(x,y) \ y,x) = K(x \ y,x). [para(4225(a,2),4685(a,1,1))]. given #4392 (H,wt=16): 4682 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(22(a,1),4680(a,1,1))]. given #4393 (H,wt=17): 4686 K(T(x \ T(y,x),z),x) = K(T(x \ y,z),x). [para(1514(a,1),4684(a,1,1))]. given #4394 (H,wt=25): 4163 (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). [para(4160(a,1),3512(a,1,1,1)),flip(a)]. given #4395 (H,wt=25): 4190 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [hyper(212,a,4188,a,b,10,a)]. given #4396 (H,wt=25): 4244 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [para(4214(a,1),2769(a,1,2))]. given #4397 (H,wt=21): 4689 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(3127(a,1),4244(a,1,2))]. given #4398 (H,wt=21): 4690 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(62,a,3040,a,b,4689,a)]. given #4399 (H,wt=25): 4336 T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. [para(2786(a,1),4217(a,1,1)),flip(a)]. given #4400 (H,wt=21): 4692 T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). [hyper(62,a,3125,a(flip),b,4336,a),flip(a)]. given #4401 (H,wt=25): 4380 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4259(a,2),4249(a,2,2)),flip(a)]. given #4402 (H,wt=21): 4694 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4214(a,1),4380(a,1,1,2))]. given #4403 (H,wt=19): 4695 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(108(a,1),4694(a,1,1))]. given #4404 (H,wt=17): 4696 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(273,a,4622,a(flip),b,4695,a),flip(a)]. given #4405 (H,wt=25): 4386 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(25(a,2),4384(a,1,1))]. given #4406 (H,wt=25): 4420 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4414(a,1),476(a,1,1,1)),flip(a)]. given #4407 (H,wt=25): 4542 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(62,a,3560,a(flip),b,4541,a),flip(a)]. given #4408 (H,wt=21): 4698 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3327(a,1),4542(a,1,1)),flip(a)]. given #4409 (H,wt=21): 4699 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4698(a,1),3558(a,1,2))]. given #4410 (H,wt=21): 4700 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4699(a,1),275(a,1,1)),flip(a)]. given #4411 (H,wt=25): 4544 T(L(x,y,1 / y),(y * x) / L(x,y,1 / y)) = (1 / y) * (x * y). [hyper(4362,a,4543,a)]. given #4412 (H,wt=25): 4693 T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. [para(77(a,1),4692(a,1,1,2)),flip(a)]. given #4413 (H,wt=23): 4701 T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. [para(2938(a,1),4693(a,2,1))]. given #4414 (H,wt=23): 4702 T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. [para(3694(a,1),4701(a,1,1))]. given #4415 (H,wt=26): 4258 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4225(a,1),84(a,1,1,2,1))]. given #4416 (H,wt=26): 4340 T(x,y) * R(T(T(y,x),z),u,w) != v5 | R(T(y,z),u,w) * T(x,y) = v5. [para(4226(a,1),381(a,1,2,1))]. given #4417 (H,wt=26): 4370 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4365(a,1),380(a,1,2,1))]. given #4418 (H,wt=26): 4371 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(4365(a,1),381(a,1,2,1))]. given #4419 (H,wt=26): 4388 (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. [para(4292(a,1),264(a,1,1))]. given #4420 (H,wt=26): 4499 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4498(a,1),4322(a,1,2))]. given #4421 (H,wt=12): 4704 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4673,a,4499,a)]. given #4422 (H,wt=26): 4551 x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. [para(4495(a,1),43(a,1)),flip(a)]. given #4423 (H,wt=26): 4574 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4568(a,1),18(a,2,1)),flip(a)]. given #4424 (H,wt=26): 4705 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4568(a,1),4574(a,1,2))]. given #4425 (H,wt=27): 4072 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(4065(a,1),453(a,1,1))]. given #4426 (H,wt=27): 4182 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(4179(a,1),1189(a,2,2,1))]. given #4427 (H,wt=27): 4261 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4225(a,1),1706(a,1,2,1))]. given #4428 (H,wt=27): 4262 T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = x * T(T(y,x) / x,z). [para(4225(a,2),4095(a,1,1,2,1))]. given #4429 (H,wt=27): 4547 K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). [para(4333(a,1),3655(a,1,2)),flip(a)]. given #4430 (H,wt=27): 4706 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(933(a,1),4182(a,1,1,2,1))]. given #4431 (H,wt=23): 4707 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(4093(a,1),4706(a,1,1,2,1))]. given #4432 (H,wt=28): 4113 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4093(a,1),18(a,2,1)),flip(a)]. given #4433 (H,wt=28): 4191 T((x \ 1) * y,x) * z != y | T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = z. [para(4188(a,1),213(a,2))]. given #4434 (H,wt=28): 4523 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4344(a,2),4522(a,1,2))]. given #4435 (H,wt=24): 4708 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(77(a,1),4523(a,2,1,2))]. given #4436 (H,wt=28): 4697 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4386(a,2),424(a,1))]. given #4437 (H,wt=29): 4109 x * (x * T(T(x,x \ (y * x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(4062(a,2),1424(a,1,2,2,1))]. given #4438 (H,wt=27): 4709 x * (x * T(T(x,T(y,x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(22(a,2),4109(a,1,2,2,1,1,2))]. given #4439 (H,wt=25): 4710 x * (x * T(T(x,y) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(4209(a,1),4709(a,1,2,2,1,1))]. given #4440 (H,wt=21): 4711 x * (x * T(T(x,y) \ y,z)) = (x * T(x \ y,z)) * x. [para(11(a,1),4710(a,1,2,2,1,2))]. given #4441 (H,wt=29): 4202 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(4197(a,2),453(a,1,1))]. given #4442 (H,wt=26): 4712 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(4202,a,4636,a),flip(a)]. given #4443 (H,wt=26): 4713 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(62,a,4540,a(flip),b,4712,a)]. given #4444 (H,wt=16): 4714 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4637(a,1),4713(a,1,2)),flip(a)]. given #4445 (H,wt=15): 4715 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(273,a,226,a(flip),b,4714,a),flip(a)]. given #4446 (H,wt=24): 4717 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(62,a,3820,a(flip),b,4715,a),flip(a)]. given #4447 (H,wt=29): 4325 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4288(a,1),2465(a,2,1))]. given #4448 (H,wt=24): 4720 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1039,a,4325,a),flip(a)]. given #4449 (H,wt=20): 4721 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2989(a,1),4720(a,1,1)),flip(a)]. given #4450 (H,wt=25): 4722 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(116,a,4721,a(flip),b,1032,a)]. given #4451 (H,wt=29): 4593 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4584(a,1),444(a,1,1))]. given #4452 (H,wt=29): 4724 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4584(a,1),4593(a,1,2))]. given #4453 (H,wt=20): 4725 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(62,a,4705,a(flip),b,4724,a),flip(a)]. given #4454 (H,wt=30): 4496 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1974(a,1),4275(a,1,2,1))]. given #4455 (H,wt=12): 4726 T(x,R(x * K(y,x),z,u)) = x. [hyper(332,a,4496,a)]. given #4456 (H,wt=31): 4719 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4717(a,1),3602(a,2,2))]. given #4457 (H,wt=21): 4728 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(273,a,4700,a(flip),b,4719,a),flip(a)]. given #4458 (H,wt=19): 4731 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(199(a,1),4728(a,1,1,2,2))]. given #4459 (H,wt=22): 4729 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(4013,a,4728,a)]. given #4460 (H,wt=18): 4733 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(273,a,144,a(flip),b,4729,a),flip(a)]. given #4461 (H,wt=21): 4735 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4733(a,1),2795(a,1,2))]. given #4462 (H,wt=22): 4732 T((x \ 1) * (x * y),z) != (x \ 1) * u | x * T(y,z) = u. [para(4731(a,2),42(a,1))]. given #4463 (H,wt=26): 4736 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4735(a,1),4015(a,1,2)),flip(a)]. given #4464 (H,wt=14): 4738 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(273,a,3050,a(flip),b,4736,a),flip(a)]. given #4465 (H,wt=10): 4742 R(x,K(y \ 1,y),z) = x. [para(10(a,1),4738(a,1,3))]. given #4466 (H,wt=10): 4745 R(x,y,K(z \ 1,z)) = x. [hyper(62,a,3881,a(flip),b,4742,a)]. given #4467 (H,wt=10): 4754 R(x,y,K(z,1 / z)) = x. [para(77(a,1),4745(a,1,3,1))]. given #4468 (H,wt=10): 4759 R(x,y,K(z,z \ 1)) = x. [para(1805(a,1),4745(a,1,3))]. given #4469 (H,wt=10): 4760 R(x,y,K(1 / z,z)) = x. [para(1857(a,2),4745(a,1,3))]. given #4470 (H,wt=13): 4750 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(3814,a,4745,a),flip(a)]. given #4471 (H,wt=13): 4753 R(x,y,K(z \ 1,z)) != u | x = u. [para(4745(a,1),50(a,2))]. given #4472 (H,wt=13): 4762 R(x,y,K(z,1 / z)) != u | u = x. [para(4754(a,1),50(a,1)),flip(a)]. given #4473 (H,wt=13): 4764 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3579,a,4759,a)]. given #4474 (H,wt=13): 4775 T(x,y * K(z,z \ 1)) = T(x,y). [para(1805(a,1),4750(a,1,2,2))]. given #4475 (H,wt=13): 4781 T(x,K(y \ 1,y) * z) = T(x,z). [para(2988(a,2),4750(a,1,2))]. given #4476 (H,wt=13): 4789 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(74(a,1),4764(a,1,3)),flip(a)]. given #4477 (H,wt=15): 4776 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2316(a,1),4750(a,1,2))]. given #4478 (H,wt=15): 4778 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2575(a,1),4750(a,1,2))]. given #4479 (H,wt=15): 4779 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2576(a,1),4750(a,1,2)),flip(a)]. given #4480 (H,wt=15): 4780 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2630(a,1),4750(a,1,2))]. given #4481 (H,wt=15): 4783 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2994(a,1),4750(a,1,2)),flip(a)]. given #4482 (H,wt=15): 4784 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3031(a,1),4750(a,1,2))]. given #4483 (H,wt=15): 4785 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3033(a,1),4750(a,1,2))]. given #4484 (H,wt=15): 4793 T(x,y * (1 / (1 / (y \ z)))) = T(x,z). [para(2326(a,1),4775(a,1,2))]. given #4485 (H,wt=15): 4795 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3051(a,1),4775(a,1,2))]. given #4486 (H,wt=15): 4804 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(62,a,630,a(flip),b,4784,a),flip(a)]. given #4487 (H,wt=11): 4807 K((x \ 1) * y,x \ y) = 1. [hyper(54,a,4804,a)]. given #4488 (H,wt=17): 4756 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4745(a,1),392(a,1,1)),flip(a)]. given #4489 (H,wt=17): 4786 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3466(a,1),4750(a,1,2)),flip(a)]. given #4490 (H,wt=17): 4808 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2990,a,4756,a)]. given #4491 (H,wt=18): 4787 T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. [para(4524(a,2),4753(a,1))]. given #4492 (H,wt=16): 4809 T(x \ T(x,y),y) != z | x \ T(x,y) = z. [para(107(a,1),4787(a,1,2))]. given #4493 (H,wt=19): 4752 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(62,a,3840,a(flip),b,4745,a)]. given #4494 (H,wt=17): 4812 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [hyper(273,a,3782,a(flip),b,4752,a),flip(a)]. given #4495 (H,wt=19): 4755 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4745(a,1),104(a,1,1)),flip(a)]. given #4496 (H,wt=19): 4757 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4745(a,1),466(a,1,1))]. given #4497 (H,wt=17): 4824 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(701(a,1),4757(a,1,2)),flip(a)]. given #4498 (H,wt=15): 4828 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4824(a,1),4750(a,1,2)),flip(a)]. given #4499 (H,wt=17): 4825 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [para(1544(a,1),4757(a,1,2)),flip(a)]. given #4500 (H,wt=17): 4826 K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). [hyper(2990,a,4824,a)]. given #4501 (H,wt=17): 4829 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4828(a,1),236(a,1,2))]. given #4502 (H,wt=17): 4830 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(34,a,3343,a,b,4825,a),flip(a)]. given #4503 (H,wt=17): 4832 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [para(4825(a,1),2627(a,1,1))]. given #4504 (H,wt=17): 4833 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(273,a,267,a,b,4832,a),flip(a)]. given #4505 (H,wt=19): 4761 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4745(a,1),3035(a,1,1))]. given #4506 (H,wt=19): 4763 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4754(a,1),104(a,1,1)),flip(a)]. given #4507 (H,wt=19): 4768 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4759(a,1),104(a,1,1)),flip(a)]. given #4508 (H,wt=14): 4840 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(450,a,4768,a)]. given #4509 (H,wt=17): 4841 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(4768(a,1),4775(a,1,2))]. given #4510 (H,wt=19): 4772 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4759(a,1),3058(a,1,1))]. given #4511 (H,wt=17): 4847 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [para(1844(a,1),4772(a,1,2)),flip(a)]. given #4512 (H,wt=19): 4773 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4760(a,1),104(a,1,1)),flip(a)]. given #4513 (H,wt=19): 4792 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2261(a,1),4775(a,1,2))]. given #4514 (H,wt=19): 4811 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(273,a,3839,a,b,4752,a)]. given #4515 (H,wt=19): 4813 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2988(a,2),4752(a,1,2))]. given #4516 (H,wt=19): 4815 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(3043,a,4755,a)]. given #4517 (H,wt=19): 4816 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2990,a,4755,a)]. given #4518 (H,wt=19): 4823 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(62,a,3780,a,b,4757,a)]. given #4519 (H,wt=17): 4860 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4823(a,2),4750(a,1,2))]. given #4520 (H,wt=19): 4831 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4825(a,1),2573(a,1,1)),flip(a)]. given #4521 (H,wt=19): 4836 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(273,a,2988,a,b,4761,a),flip(a)]. given #4522 (H,wt=19): 4837 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(62,a,3841,a,b,4763,a)]. given #4523 (H,wt=19): 4838 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(62,a,3003,a,b,4763,a)]. given #4524 (H,wt=19): 4845 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2638(a,1),4841(a,1,2,2))]. given #4525 (H,wt=19): 4852 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [para(2988(a,2),4815(a,1,2,2))]. given #4526 (H,wt=19): 4853 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(3032(a,1),4815(a,1,2,2))]. given #4527 (H,wt=19): 4855 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(273,a,3034,a,b,4816,a),flip(a)]. given #4528 (H,wt=19): 4857 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(273,a,2988,a,b,4823,a),flip(a)]. given #4529 (H,wt=19): 4861 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2746(a,1),4860(a,1,2,1)),flip(a)]. given #4530 (H,wt=19): 4862 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(3052(a,1),4860(a,1,2,1))]. given #4531 (H,wt=19): 4863 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(3056(a,1),4860(a,1,2,1))]. given #4532 (H,wt=13): 4884 T(x,((y \ 1) * y) \ z) = T(x,z). [para(153(a,1),4863(a,1,2)),flip(a)]. given #4533 (H,wt=19): 4870 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(62,a,3777,a,b,4853,a)]. given #4534 (H,wt=10): 4885 L(x,K(y,y \ 1),z) = x. [hyper(450,a,4870,a)]. given #4535 (H,wt=10): 4887 L(x,y * (1 / y),z) = x. [para(1804(a,1),4885(a,1,2))]. given #4536 (H,wt=13): 4890 L(x,y * (1 / y),z) != u | u = x. [para(4887(a,1),49(a,1)),flip(a)]. given #4537 (H,wt=20): 4806 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2815(a,2),4784(a,1,2,1))]. given #4538 (H,wt=21): 4800 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4778(a,1),4631(a,1,2,1))]. given #4539 (H,wt=15): 4891 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(62,a,4647,a,b,4800,a)]. given #4540 (H,wt=15): 4892 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(131,a,4891,a),flip(a)]. given #4541 (H,wt=13): 4903 T(x * (y / x),y) = x * (y / x). [para(107(a,1),4892(a,2,2,1))]. given #4542 (H,wt=9): 4911 T(x,y * (x / y)) = x. [hyper(53,a,4903,a)]. given #4543 (H,wt=13): 4913 T(T(x,y),z * (x / z)) = T(x,y). [para(4911(a,1),23(a,1,1)),flip(a)]. given #4544 (H,wt=13): 4914 T((x \ y) * x,y) = (x \ y) * x. [para(73(a,1),4911(a,1,2))]. given #4545 (H,wt=15): 4893 T(x * y,z) / y = y \ T(y * x,z). [para(11(a,1),4891(a,1,2,1,2)),flip(a)]. given #4546 (H,wt=15): 4896 T((x \ y) * x,z) / x = x \ T(y,z). [para(73(a,1),4891(a,1,2,1)),flip(a)]. given #4547 (H,wt=15): 4908 T(x * (y / x),K(z,y)) = x * (y / x). [para(3203(a,1),4892(a,2,2,1))]. given #4548 (H,wt=15): 4916 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(129,a,4893,a)]. given #4549 (H,wt=15): 4920 T((x \ y) * x,z) = (x \ T(y,z)) * x. [hyper(129,a,4896,a),flip(a)]. given #4550 (H,wt=15): 4931 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4916(a,1),4304(a,1,2))]. given #4551 (H,wt=17): 4897 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(4891(a,1),201(a,1,2,2))]. given #4552 (H,wt=17): 4900 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(4073(a,2),4891(a,1,2,1))]. given #4553 (H,wt=17): 4912 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4903(a,2),4532(a,1,1))]. given #4554 (H,wt=17): 4918 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4893(a,1),110(a,1,1))]. given #4555 (H,wt=17): 4921 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4896(a,1),110(a,1,1)),flip(a)]. given #4556 (H,wt=17): 4934 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4920(a,1),108(a,1,2))]. given #4557 (H,wt=17): 4936 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(110(a,1),4920(a,2,1,2))]. given #4558 (H,wt=17): 4943 T(x \ T(x * y,y),x) != z | R(y,x,y) = z. [para(4918(a,2),4323(a,1))]. given #4559 (H,wt=18): 4895 x * (T(y,z) / x) != u | T(x * (y / x),z) = u. [para(4891(a,1),225(a,1,2))]. given #4560 (H,wt=18): 4922 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4896(a,1),222(a,1,1))]. given #4561 (H,wt=18): 4923 x * (T((x \ y) * x,z) / x) != u | T(y,z) = u. [para(4896(a,2),225(a,1,2))]. given #4562 (H,wt=18): 4933 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4920(a,2),43(a,1))]. given #4563 (H,wt=19): 4894 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(74(a,1),4891(a,1,2,1,2))]. given #4564 (H,wt=19): 4901 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(4464(a,1),4891(a,1,2,1))]. given #4565 (H,wt=19): 4904 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(74(a,1),4892(a,1,1,2)),flip(a)]. given #4566 (H,wt=19): 4909 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4230(a,1),4892(a,2,2,1))]. given #4567 (H,wt=19): 4915 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(273,a,822,a,b,4893,a)]. given #4568 (H,wt=19): 4917 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(62,a,1646,a,b,4893,a)]. given #4569 (H,wt=19): 4930 T((x * (y \ 1)) * y,z) = (T(x,z) * (y \ 1)) * y. [para(874(a,1),4916(a,1,1)),flip(a)]. given #4570 (H,wt=19): 4938 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4920(a,2),88(a,1,1))]. given #4571 (H,wt=19): 4940 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(110(a,1),4897(a,1,2,2,1)),flip(a)]. given #4572 (H,wt=19): 4941 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(198(a,1),4897(a,1,2,2,1)),flip(a)]. given #4573 (H,wt=19): 4944 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(110(a,1),4934(a,1,2,1,2)),flip(a)]. given #4574 (H,wt=19): 4945 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(245,a,4936,a)]. given #4575 (H,wt=19): 4951 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(273,a,4892,a,b,4909,a),flip(a)]. given #4576 (H,wt=19): 4953 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(252,a,4917,a),flip(a)]. given #4577 (H,wt=19): 4961 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(9(a,1),4945(a,1,1,2,1,2))]. given #4578 (H,wt=17): 4964 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(62,a,4318,a(flip),b,4961,a),flip(a)]. given #4579 (H,wt=20): 4937 x * ((y \ T(z,x)) * y) != u | ((y \ z) * y) * x = u. [para(4920(a,1),252(a,1,2))]. given #4580 (H,wt=21): 4803 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3465(a,1),4783(a,2,2))]. given #4581 (H,wt=19): 4965 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3121(a,1),4803(a,1,2))]. given #4582 (H,wt=21): 4834 x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). [para(146(a,2),4832(a,2,2,1)),flip(a)]. given #4583 (H,wt=21): 4835 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(4833(a,1),3777(a,1,1)),flip(a)]. given #4584 (H,wt=21): 4842 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(62,a,2907,a,b,4840,a)]. given #4585 (H,wt=21): 4848 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4847(a,1),3777(a,1,1)),flip(a)]. given #4586 (H,wt=17): 4969 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(62,a,2745,a(flip),b,4848,a)]. given #4587 (H,wt=17): 4970 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4969(a,1),4011(a,1,1))]. given #4588 (H,wt=20): 4971 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4970(a,1),42(a,1))]. given #4589 (H,wt=21): 4849 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2632(a,1),4811(a,2,2))]. given #4590 (H,wt=19): 4972 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1810(a,1),4849(a,1,1)),flip(a)]. given #4591 (H,wt=21): 4850 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2575(a,1),4815(a,1,2,2))]. given #4592 (H,wt=21): 4851 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2576(a,1),4815(a,1,2,2))]. given #4593 (H,wt=21): 4854 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(3033(a,1),4815(a,1,2,2))]. given #4594 (H,wt=21): 4856 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(3252(a,1),4816(a,2,2))]. given #4595 (H,wt=21): 4858 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2755(a,1),4823(a,1,1)),flip(a)]. given #4596 (H,wt=21): 4859 ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. [para(3053(a,1),4823(a,1,1)),flip(a)]. given #4597 (H,wt=21): 4865 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(62,a,3851,a(flip),b,4836,a),flip(a)]. given #4598 (H,wt=21): 4867 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [para(3023(a,1),4836(a,1,2)),flip(a)]. given #4599 (H,wt=21): 4881 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2697(a,1),4857(a,1,1)),flip(a)]. given #4600 (H,wt=21): 4882 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(3056(a,1),4857(a,1,1)),flip(a)]. given #4601 (H,wt=21): 4919 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4893(a,1),3986(a,1,2))]. given #4602 (H,wt=21): 4963 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(4448,a,4951,a)]. given #4603 (H,wt=21): 4975 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(3043,a,4858,a)]. given #4604 (H,wt=21): 4976 a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). [para(4859(a,1),4024(a,1,1)),flip(a)]. given #4605 (H,wt=22): 4758 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4745(a,1),477(a,1,1)),flip(a),flip(b)]. given #4606 (H,wt=22): 4770 (x * y) * z != x * (y * K(u,u \ 1)) | K(u,u \ 1) = z. [para(4759(a,1),477(a,1,1)),flip(a),flip(b)]. given #4607 (H,wt=22): 4771 x * K(y,y \ 1) != z * (u * K(y,y \ 1)) | z * u = x. [para(4759(a,1),479(a,1,1)),flip(a)]. given #4608 (H,wt=22): 4799 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4789(a,1),104(a,1,1))]. given #4609 (H,wt=22): 4868 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4836(a,2),2999(a,1))]. given #4610 (H,wt=22): 4898 x * (T(y,z) / x) != u * w | u \ T(x * (y / x),z) = w. [para(4891(a,1),378(a,1,2))]. given #4611 (H,wt=22): 4907 x * (T(R(y,x \ 1,x),z) / x) = T(x * (y * (1 / x)),z). [para(2577(a,1),4892(a,1,1,2)),flip(a)]. given #4612 (H,wt=22): 4924 (x \ T(y,z)) * x != u * w | u \ T((x \ y) * x,z) = w. [para(4896(a,1),283(a,1,1))]. given #4613 (H,wt=22): 4925 x * (T((x \ y) * x,z) / x) != u * w | T(y,z) / w = u. [para(4896(a,2),284(a,1,2))]. given #4614 (H,wt=22): 4946 x * ((y \ (x \ z)) * y) != u | ((y \ (z / x)) * y) * x = u. [para(4936(a,1),252(a,1,2))]. given #4615 (H,wt=22): 4947 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(3231(a,1),4922(a,1,1,2))]. given #4616 (H,wt=22): 4950 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4904(a,1),288(a,1,2))]. given #4617 (H,wt=22): 4962 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4945(a,1),222(a,1,1))]. given #4618 (H,wt=22): 4973 (x \ 1) * (y / (x \ 1)) != z | (1 / x) * (y / (1 / x)) = z. [para(4850(a,1),2803(a,1))]. given #4619 (H,wt=22): 4979 x * (R(T(y,z),x \ 1,x) / x) = T(x * (y * (1 / x)),z). [para(27(a,2),4907(a,1,2,1))]. given #4620 (H,wt=19): 4980 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [para(2577(a,1),4979(a,1,2)),flip(a)]. given #4621 (H,wt=23): 4790 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(273,a,3678,a(flip),b,4775,a),flip(a)]. given #4622 (H,wt=23): 4801 T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. [hyper(273,a,4332,a(flip),b,4783,a),flip(a)]. given #4623 (H,wt=23): 4802 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [hyper(62,a,4333,a(flip),b,4783,a),flip(a)]. given #4624 (H,wt=23): 4820 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4755(a,1),3836(a,1,1))]. given #4625 (H,wt=23): 4821 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4755(a,1),3845(a,1,1))]. given #4626 (H,wt=23): 4822 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4755(a,1),4752(a,1,2))]. given #4627 (H,wt=23): 4827 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3869(a,1),4824(a,1,2))]. given #4628 (H,wt=21): 4987 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(62,a,3033,a(flip),b,4827,a)]. given #4629 (H,wt=19): 4988 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(273,a,3508,a(flip),b,4987,a),flip(a)]. given #4630 (H,wt=23): 4875 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4853(a,1),4772(a,1,2))]. given #4631 (H,wt=23): 4876 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4853(a,1),4823(a,1,1))]. given #4632 (H,wt=23): 4880 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4855(a,1),4761(a,1,2))]. given #4633 (H,wt=23): 4883 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3887(a,1),4857(a,1,1)),flip(a)]. given #4634 (H,wt=23): 4926 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(3638(a,1),4908(a,1,2))]. given #4635 (H,wt=23): 4958 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(62,a,3899,a,b,4944,a)]. given #4636 (H,wt=23): 4967 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4835(a,1),2778(a,1,2))]. given #4637 (H,wt=19): 4993 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(4937,a,4967,a)]. given #4638 (H,wt=17): 4995 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(62,a,4970,a(flip),b,4993,a),flip(a)]. given #4639 (H,wt=23): 4977 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(62,a,1584,a,b,4919,a)]. given #4640 (H,wt=23): 4981 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(74(a,1),4980(a,2,2,2))]. given #4641 (H,wt=19): 4997 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(74(a,1),4981(a,1,1,2,2))]. given #4642 (H,wt=22): 4999 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(4997(a,2),42(a,1))]. given #4643 (H,wt=23): 4982 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3889(a,2),4790(a,1,2))]. given #4644 (H,wt=21): 5000 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3782(a,1),4982(a,1,2,1))]. given #4645 (H,wt=23): 4983 K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). [para(4801(a,1),4547(a,1,2)),flip(a)]. given #4646 (H,wt=23): 4986 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(2772,a,4822,a(flip))]. given #4647 (H,wt=19): 5001 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(3019(a,1),4986(a,1,2,2)),flip(a)]. given #4648 (H,wt=19): 5002 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(3007(a,1),5001(a,1,2))]. given #4649 (H,wt=23): 4994 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(109(a,1),4967(a,1,2,1,2))]. given #4650 (H,wt=23): 4996 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4962,a,4977,a)]. given #4651 (H,wt=24): 4928 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(4916(a,1),431(a,1,2))]. given #4652 (H,wt=24): 4966 x \ (((y * (y \ z)) \ 1) \ 1) != (x \ z) * u | K(z,z \ 1) = u. [para(4834(a,2),42(a,1))]. given #4653 (H,wt=25): 4910 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4892(a,2),4117(a,1,1,2))]. given #4654 (H,wt=25): 4942 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3989(a,1),4912(a,1,1,1)),flip(a)]. given #4655 (H,wt=17): 5005 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4548(a,1),4942(a,1,2)),flip(a)]. given #4656 (H,wt=15): 5006 ((x \ y) * x) / y = y / (x * (y / x)). [para(4914(a,1),5005(a,1,1))]. given #4657 (H,wt=15): 5007 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(273,a,4377,a(flip),b,5006,a),flip(a)]. given #4658 (H,wt=17): 5008 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(62,a,4995,a,b,5007,a)]. given #4659 (H,wt=25): 4974 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(109(a,1),4856(a,1,2,2))]. given #4660 (H,wt=25): 4978 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4799(a,1),43(a,1))]. given #4661 (H,wt=25): 5004 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(62,a,4707,a(flip),b,4910,a),flip(a)]. given #4662 (H,wt=26): 4774 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4760(a,1),505(a,1,1))]. given #4663 (H,wt=26): 4959 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(62,a,409,a,b,4944,a)]. given #4664 (H,wt=26): 4991 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(18(a,2),4880(a,2,1))]. given #4665 (H,wt=26): 5003 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4994(a,1),226(a,1,2)),flip(a)]. given #4666 (H,wt=24): 5010 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(5008(a,1),5003(a,2,2))]. given #4667 (H,wt=26): 5009 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4773(a,1),4774(a,1,2))]. given #4668 (H,wt=26): 5011 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4773(a,1),5009(a,1,2,2))]. given #4669 (H,wt=21): 5012 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(453,a,5011,a)]. given #4670 (H,wt=27): 4814 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4812(a,1),3678(a,1,2,1)),flip(a)]. given #4671 (H,wt=25): 5013 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3857(a,1),4814(a,1,2,1)),flip(a)]. given #4672 (H,wt=21): 5014 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(62,a,5000,a(flip),b,5013,a),flip(a)]. given #4673 (H,wt=27): 4955 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(116,a,4917,a(flip),b,1195,a),flip(a)]. given #4674 (H,wt=28): 4957 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(192(a,2),4940(a,2,2,2,1))]. given #4675 (H,wt=28): 4960 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(193(a,2),4944(a,1,1,1,2))]. given #4676 (H,wt=28): 5017 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(62,a,4940,a(flip),b,4957,a),flip(a)]. given #4677 (H,wt=28): 5018 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3892(a,2),4960(a,1,1))]. given #4678 (H,wt=25): 5019 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(251,a,5018,a),flip(a)]. given #4679 (H,wt=29): 4879 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. [para(4855(a,2),453(a,1,2,2))]. given #4680 (H,wt=21): 5020 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(4879,a,4991,a)]. given #4681 (H,wt=21): 5021 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(273,a,2988,a,b,5020,a),flip(a)]. given #4682 (H,wt=21): 5022 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(2988(a,1),5020(a,1,1))]. given #4683 (H,wt=21): 5023 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(3050(a,1),5021(a,1,1)),flip(a)]. given #4684 (H,wt=17): 5027 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(62,a,3062,a(flip),b,5023,a)]. given #4685 (H,wt=17): 5029 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5027(a,1),73(a,1,2,1)),flip(a)]. given #4686 (H,wt=17): 5030 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(73(a,1),5027(a,1,1,2,1)),flip(a)]. given #4687 (H,wt=20): 5031 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1781(a,1),5029(a,2,2,1))]. given #4688 (H,wt=21): 5025 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(3072,a,5023,a),flip(a)]. given #4689 (H,wt=19): 5037 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1833(a,1),5025(a,1,1)),flip(a)]. given #4690 (H,wt=21): 5026 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2776,a,5023,a),flip(a)]. given #4691 (H,wt=19): 5041 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(2547(a,1),5026(a,1,1)),flip(a)]. given #4692 (H,wt=19): 5043 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(62,a,2147,a(flip),b,5041,a)]. given #4693 (H,wt=19): 5044 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(109(a,1),5043(a,2,1))]. given #4694 (H,wt=19): 5045 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(122,a,5044,a)]. given #4695 (H,wt=19): 5046 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(62,a,1873,a,b,5045,a)]. given #4696 (H,wt=13): 5047 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2187,a,5046,a)]. given #4697 (H,wt=13): 5048 L(x,y,z) / x = x \ L(x,y,z). [hyper(128,a,5047,a)]. given #4698 (H,wt=13): 5049 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(122,a,5047,a)]. given #4699 (H,wt=16): 5050 L(x,y,z) != u * x | x \ L(x,y,z) = u. [para(5047(a,1),43(a,1))]. given #4700 (H,wt=16): 5051 (x \ L(x,y,z)) * x != u | L(x,y,z) = u. [para(5048(a,1),222(a,1,1))]. given #4701 (H,wt=21): 5039 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5037(a,1),3822(a,1,1))]. given #4702 (H,wt=21): 5040 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5037(a,1),3849(a,1,1)),flip(a)]. given #4703 (H,wt=21): 5052 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5049(a,1),419(a,1,2,1)),flip(a)]. given #4704 (H,wt=21): 5053 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(62,a,1140,a(flip),b,5040,a)]. given #4705 (H,wt=22): 5033 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(5030(a,1),94(a,1,2))]. given #4706 (H,wt=22): 5034 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(456(a,1),5030(a,2,1,2))]. given #4707 (H,wt=22): 5057 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(10(a,1),5034(a,2,1,2))]. given #4708 (H,wt=23): 5056 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(115,a,5034,a(flip),b,226,a),flip(a)]. given #4709 (H,wt=19): 5058 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(62,a,4996,a(flip),b,5056,a)]. given #4710 (H,wt=19): 5059 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(129,a,5058,a)]. given #4711 (H,wt=24): 5024 L(x * K(y \ 1,y),z,u) != L(x,z,u) * w | K(y \ 1,y) = w. [para(5022(a,2),42(a,1))]. given #4712 (H,wt=24): 5035 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(457(a,1),5030(a,2,1,2))]. given #4713 (H,wt=19): 5060 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(62,a,5010,a(flip),b,5035,a),flip(a)]. given #4714 (H,wt=15): 5061 x * (y \ (x / (x / y))) = (y \ x) * y. [para(152(a,1),5060(a,1,1,2)),flip(a)]. given #4715 (H,wt=13): 5062 x \ (y / (y / x)) = K(x \ y,x). [hyper(33,a,260,a,b,5061,a),flip(a)]. given #4716 (H,wt=13): 5063 x / (x / y) = y * K(y \ x,y). [hyper(131,a,5062,a),flip(a)]. given #4717 (H,wt=13): 5065 ((x \ y) * x) / y = K(x \ y,x). [hyper(62,a,5007,a,b,5062,a)]. given #4718 (H,wt=13): 5069 T(K(x \ y,x),y) = K(x \ y,x). [para(5062(a,1),4137(a,1,1))]. given #4719 (H,wt=9): 5090 T(x,K(y \ x,y)) = x. [hyper(53,a,5069,a)]. given #4720 (H,wt=13): 5071 (x * K(x \ y,x)) \ y = y / x. [hyper(171,a,5063,a)]. given #4721 (H,wt=13): 5072 (x * K(x \ y,x)) * (y / x) = y. [hyper(129,a,5063,a)]. given #4722 (H,wt=13): 5087 K(x \ y,x) * y = (x \ y) * x. [hyper(129,a,5065,a)]. given #4723 (H,wt=13): 5092 K(x \ y,x) * (x * (y / x)) = y. [hyper(4598,a,5072,a)]. given #4724 (H,wt=13): 5094 K(x \ y,x) * (y / x) = x \ y. [hyper(115,a,5072,a(flip),b,4568,a(flip)),flip(a)]. given #4725 (H,wt=15): 5064 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(62,a,5008,a,b,5062,a)]. given #4726 (H,wt=15): 5073 (x * y) / ((x * y) / x) = x * K(y,x). [para(9(a,1),5063(a,2,2,1))]. given #4727 (H,wt=9): 5102 K(x,y) = T(y,x) \ y. [hyper(3969,a,5073,a),flip(a)]. given #4728 (H,wt=9): 5108 K(x,y) = y / T(y,x). [hyper(273,a,3191,a,b,5102,a),flip(a)]. given #4729 (H,wt=9): 5111 K(x,y) = x \ T(x,y). [hyper(273,a,4206,a(flip),b,5102,a),flip(a)]. given #4730 (H,wt=9): 5117 T(x,y) = x / K(y,x). [hyper(176,a,5102,a(flip)),flip(a)]. given #4731 (H,wt=9): 5118 T(x,y) * K(y,x) = x. [hyper(131,a,5102,a(flip))]. given #4732 (H,wt=9): 5126 T(x,y) = K(y,x) \ x. [para(5102(a,2),3189(a,1,1)),flip(a)]. given #4733 (H,wt=9): 5127 K(x,y) * T(y,x) = y. [para(5102(a,2),3192(a,1,1))]. given #4734 (H,wt=9): 5134 T(x * K(y,x),y) = x. [para(5102(a,2),4237(a,1,1,2))]. given #4735 (H,wt=9): 5157 K(x,y) = T(x,y) / x. [hyper(273,a,3273,a,b,5111,a),flip(a)]. given #4736 (H,wt=9): 5163 T(x,y) = x * K(x,y). [hyper(131,a,5111,a(flip)),flip(a)]. given #4737 (H,wt=9): 5173 T(x,y) = K(x,y) * x. [para(5111(a,2),3274(a,1,1)),flip(a)]. given #4738 (H,wt=9): 5221 T(K(x,y) * y,x) = y. [para(3204(a,2),5134(a,1,1))]. given #4739 (H,wt=10): 5193 x * K(R(x,y,z),x) = x. [para(159(a,1),5118(a,1,1))]. given #4740 (H,wt=8): 5270 K(R(x,y,z),x) = 1. [hyper(118,a,5193,a),flip(a)]. given #4741 (H,wt=11): 5104 K(x,y) = (x * y) / (y * x). [hyper(273,a,4128,a,b,5102,a),flip(a)]. given #4742 (H,wt=11): 5105 K(x,y) = ((y * x) / y) \ x. [hyper(273,a,3917,a,b,5102,a),flip(a)]. given #4743 (H,wt=11): 5110 K(x,y) = y * (T(y,x) \ 1). [hyper(273,a,940,a,b,5102,a),flip(a)]. given #4744 (H,wt=11): 5114 K(x,y) / y = 1 / T(y,x). [hyper(116,a,5102,a,b,3190,a)]. given #4745 (H,wt=11): 5116 T(x,y) \ 1 = x \ K(y,x). [hyper(115,a,5102,a,b,940,a),flip(a)]. given #4746 (H,wt=11): 5130 ((x * y) / x) * K(y,x) = y. [para(5102(a,2),3911(a,1,2))]. given #4747 (H,wt=11): 5131 K(x,y) * ((y * x) / y) = x. [para(5102(a,2),3918(a,1,1))]. given #4748 (H,wt=11): 5132 K(x,y) * (y * x) = x * y. [para(5102(a,2),4126(a,1,1))]. given #4749 (H,wt=11): 5135 (x * y) / x = y * K(x,y). [para(5102(a,2),4210(a,2,2))]. given #4750 (H,wt=11): 5152 K(x,y) = ((x * y) / x) / y. [hyper(273,a,3913,a,b,5111,a),flip(a)]. given #4751 (H,wt=11): 5154 K(x,y) = y \ ((x * y) / x). [hyper(273,a,3907,a,b,5111,a),flip(a)]. given #4752 (H,wt=11): 5155 K(x,y) = (1 / x) * T(x,y). [hyper(273,a,3277,a,b,5111,a),flip(a)]. given #4753 (H,wt=11): 5158 K(x,y) = T(x,y) * (x \ 1). [hyper(273,a,880,a,b,5111,a),flip(a)]. given #4754 (H,wt=11): 5161 T(x,y) = (1 / x) \ K(x,y). [hyper(115,a,5111,a,b,3277,a),flip(a)]. given #4755 (H,wt=11): 5174 (x * K(y,x)) * y = y * x. [para(5111(a,2),3903(a,1,1,2))]. given #4756 (H,wt=11): 5175 T(x,y) * K(y,T(x,y)) = x. [para(5111(a,2),3906(a,1,2))]. given #4757 (H,wt=9): 5354 K(x,T(y,x)) = K(x,y). [hyper(33,a,5118,a,b,5175,a),flip(a)]. given #4758 (H,wt=11): 5201 T(x,y) = 1 / (x \ K(y,x)). [hyper(273,a,3662,a,b,5126,a),flip(a)]. given #4759 (H,wt=11): 5210 (x * K(y,x)) \ (y * x) = y. [para(5134(a,1),200(a,1,2,2))]. given #4760 (H,wt=11): 5253 x * (K(y,x) * y) = y * x. [para(5173(a,1),108(a,1,2))]. given #4761 (H,wt=11): 5268 (x * y) / x = K(x,y) * y. [hyper(245,a,5221,a)]. given #4762 (H,wt=11): 5283 T(x,y) = (K(y,x) / x) \ 1. [hyper(171,a,5114,a(flip)),flip(a)]. given #4763 (H,wt=11): 5295 K(x,y) = x / ((y * x) / y). [hyper(128,a,5131,a),flip(a)]. given #4764 (H,wt=11): 5336 (x * K(y,x)) \ x = K(x,y). [para(5135(a,1),5105(a,2,1)),flip(a)]. given #4765 (H,wt=9): 5368 K(x,y) \ 1 = K(y,x). [hyper(62,a,3601,a(flip),b,5336,a)]. given #4766 (H,wt=9): 5370 1 / K(x,y) = K(y,x). [hyper(176,a,5368,a)]. given #4767 (H,wt=9): 5371 K(x,y) * K(y,x) = 1. [hyper(131,a,5368,a)]. given #4768 (H,wt=9): 5372 K(T(x,y),y) = K(x,y). [hyper(38,a,4407,a,b,5368,a)]. given #4769 (H,wt=11): 5355 K(x,x \ (y * x)) = K(x,y). [para(22(a,1),5354(a,1,2))]. given #4770 (H,wt=11): 5357 K(x,y / x) = K(x,x \ y). [para(110(a,1),5354(a,1,2)),flip(a)]. given #4771 (H,wt=11): 5361 K(x,y * K(x,y)) = K(x,y). [para(5134(a,1),5354(a,1,2)),flip(a)]. given #4772 (H,wt=11): 5373 K(x / y,y) = K(y \ x,y). [hyper(38,a,4405,a,b,5368,a),flip(a)]. given #4773 (H,wt=11): 5374 x * (K(y,z) * K(z,y)) = x. [para(5368(a,1),69(a,1,2,2))]. given #4774 (H,wt=11): 5384 K(x,y) \ x = x * K(y,x). [para(5368(a,1),3539(a,1,2)),flip(a)]. given #4775 (H,wt=11): 5387 K(x,y) * (K(y,x) * z) = z. [para(5368(a,1),4609(a,1,1))]. given #4776 (H,wt=11): 5388 K(x,y) \ z = K(y,x) * z. [para(5368(a,1),4612(a,1,1))]. given #4777 (H,wt=11): 5397 K(x \ (y * x),x) = K(y,x). [para(22(a,1),5372(a,1,1))]. given #4778 (H,wt=11): 5405 K(x * K(y,x),y) = K(x,y). [para(5134(a,1),5372(a,1,1)),flip(a)]. given #4779 (H,wt=11): 5419 x / (K(y,z) * x) = K(z,y). [hyper(128,a,5387,a)]. given #4780 (H,wt=12): 5121 K(x,y) != z \ y | T(y,x) = z. [para(5102(a,2),47(a,1))]. given #4781 (H,wt=12): 5123 x / K(y,x) != z | T(x,y) = z. [para(5102(a,2),331(a,1,2)),flip(b)]. given #4782 (H,wt=12): 5136 K(x,y) != z | x \ T(x,y) = z. [para(5102(a,2),4243(a,1))]. given #4783 (H,wt=12): 5147 K(x,y) \ y != z | T(y,x) = z. [para(5108(a,2),290(a,1,1))]. given #4784 (H,wt=12): 5166 K(x,y) != x \ z | T(x,y) = z. [para(5111(a,2),46(a,1))]. given #4785 (H,wt=12): 5167 x * K(x,y) != z | T(x,y) = z. [para(5111(a,2),225(a,1,2))]. given #4786 (H,wt=12): 5188 T(x,y) != x / z | K(y,x) = z. [para(5117(a,2),44(a,1))]. given #4787 (H,wt=12): 5189 T(x,y) \ x != z | K(y,x) = z. [para(5117(a,2),290(a,1,1))]. given #4788 (H,wt=12): 5202 x / T(x,y) != z | K(y,x) = z. [para(5126(a,2),331(a,1,2)),flip(b)]. given #4789 (H,wt=12): 5227 K(x,y) * x != z | T(x,y) = z. [para(5157(a,2),222(a,1,1))]. given #4790 (H,wt=12): 5238 T(x,y) != x * z | K(x,y) = z. [para(5163(a,2),42(a,1))]. given #4791 (H,wt=12): 5239 x \ T(x,y) != z | K(x,y) = z. [para(5163(a,2),288(a,1,2))]. given #4792 (H,wt=12): 5254 T(x,y) / x != z | K(x,y) = z. [para(5173(a,2),280(a,1,1))]. given #4793 (H,wt=12): 5276 K(x,y) != z | T(y,x) \ y = z. [para(5104(a,2),4130(a,1))]. given #4794 (H,wt=12): 5312 T(x * K(y,x),y) != z | x = z. [para(5135(a,1),292(a,1,1))]. given #4795 (H,wt=12): 5375 x * K(y,z) != 1 | K(z,y) = x. [para(5368(a,1),127(a,1,2)),flip(b)]. given #4796 (H,wt=12): 5376 1 / K(x,y) != z | K(y,x) = z. [para(5368(a,1),331(a,1,2)),flip(b)]. given #4797 (H,wt=12): 5385 K(x,T(y,x)) != z | K(x,y) = z. [para(5368(a,1),4419(a,1))]. given #4798 (H,wt=12): 5390 K(x,y) != 1 / z | K(y,x) = z. [para(5370(a,1),44(a,1))]. given #4799 (H,wt=12): 5391 K(x,y) * z != 1 | K(y,x) = z. [para(5370(a,1),123(a,1,1)),flip(b)]. given #4800 (H,wt=12): 5392 K(x,y) \ 1 != z | K(y,x) = z. [para(5370(a,1),290(a,1,1))]. given #4801 (H,wt=12): 5445 K(x,y) != z | K(y,x) \ 1 = z. [para(5419(a,1),233(a,1)),flip(b)]. given #4802 (H,wt=13): 5103 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(4204,a,5102,a),flip(a)]. given #4803 (H,wt=13): 5107 K(x,y) = (y \ 1) \ (T(y,x) \ 1). [hyper(273,a,3257,a,b,5102,a),flip(a)]. given #4804 (H,wt=13): 5112 x * T(x \ 1,y) = K(x \ 1,y). [hyper(273,a,4197,a(flip),b,5102,a)]. given #4805 (H,wt=13): 5128 (1 / x) * K(y,x) = 1 / T(x,y). [para(5102(a,2),3186(a,1,2))]. given #4806 (H,wt=13): 5129 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5102(a,2),3263(a,1,2))]. given #4807 (H,wt=13): 5137 x * (K(x,y) * z) = T(x,y) * z. [para(5102(a,2),4211(a,1,2,1))]. given #4808 (H,wt=13): 5138 T(x,y) * (x \ z) = K(x,y) * z. [para(5102(a,2),4212(a,2,1))]. given #4809 (H,wt=13): 5141 x * (T(x,y) \ z) = K(y,x) * z. [para(5102(a,2),4626(a,1,1)),flip(a)]. given #4810 (H,wt=13): 5142 K(x,y) * (T(y,x) * z) = y * z. [para(5102(a,2),4627(a,1,1))]. given #4811 (H,wt=13): 5151 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(273,a,3915,a,b,5111,a),flip(a)]. given #4812 (H,wt=13): 5160 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(115,a,5111,a,b,3915,a)]. given #4813 (H,wt=13): 5172 (x \ 1) / K(x,y) = T(x,y) \ 1. [para(5111(a,2),1999(a,1,2))]. given #4814 (H,wt=13): 5176 (x \ y) * K(x,x \ y) = y / x. [para(5111(a,2),3905(a,1,2))]. given #4815 (H,wt=13): 5178 K(x,y) * (x * z) = T(x,y) * z. [para(5111(a,2),4039(a,1,1))]. given #4816 (H,wt=13): 5179 x * (T(x,y) \ z) = K(x,y) \ z. [para(5111(a,2),4043(a,1,1)),flip(a)]. given #4817 (H,wt=13): 5180 T(x,y) \ (y * K(x,y)) = x \ y. [para(5111(a,2),4044(a,1,2,2))]. given #4818 (H,wt=13): 5181 x \ T(x,y \ x) = K(x,x / y). [para(4079(a,1),5111(a,2,2)),flip(a)]. given #4819 (H,wt=11): 5551 K(x,x / y) = K(x,y \ x). [hyper(5239,a,5181,a),flip(a)]. given #4820 (H,wt=11): 5552 K(x,(y \ x) \ x) = K(x,y). [para(74(a,1),5551(a,1,2)),flip(a)]. given #4821 (H,wt=11): 5553 K(x,T(y,y \ x)) = K(x,y). [para(109(a,2),5552(a,1,2))]. given #4822 (H,wt=13): 5182 K(x,x \ y) * y = x * (y / x). [para(5111(a,2),4112(a,1,1))]. given #4823 (H,wt=13): 5194 (x \ y) * K(x,y / x) = y / x. [para(110(a,1),5118(a,1,1))]. given #4824 (H,wt=13): 5197 ((x \ y) \ y) * K(y / x,x) = x. [para(4267(a,1),5118(a,1,1))]. given #4825 (H,wt=13): 5198 T(x,y) * (K(y,x) * z) = x * z. [para(5118(a,1),4576(a,1,1)),flip(a)]. given #4826 (H,wt=13): 5199 x * (y * K(x,y)) = T(x,y) * y. [para(5118(a,1),4642(a,1,2)),flip(a)]. given #4827 (H,wt=13): 5204 K(x,y / x) * (x \ y) = y / x. [para(110(a,1),5127(a,1,2))]. given #4828 (H,wt=13): 5208 x / (x / y) = y * K(x / y,y). [hyper(39,a,217,a,b,5134,a)]. given #4829 (H,wt=13): 5209 T(T(x * K(y,x),z),y) = T(x,z). [para(5134(a,1),23(a,1,1)),flip(a)]. given #4830 (H,wt=13): 5222 T(x \ K(y,x \ 1),y) = x \ 1. [para(3465(a,1),5134(a,1,1))]. given #4831 (H,wt=13): 5232 K(x,x \ K(y,x)) = K(x,x \ 1). [hyper(3479,a,5163,a),flip(a)]. given #4832 (H,wt=13): 5250 T(x,y) / (y \ x) = y * K(x,y). [hyper(116,a,5173,a,b,4582,a)]. given #4833 (H,wt=13): 5269 K(x,x \ y) * (x \ y) = y / x. [hyper(39,a,110,a,b,5221,a),flip(a)]. given #4834 (H,wt=13): 5272 x / ((y \ x) * y) = K(y,y \ x). [para(10(a,1),5104(a,2,1)),flip(a)]. given #4835 (H,wt=13): 5273 K(x,y) * (y * x) = (x * y) * 1. [para(5104(a,2),149(a,1,1))]. given #4836 (H,wt=13): 5274 K(x,x \ y) * ((x \ y) * x) = y. [para(5104(a,2),80(a,1,1))]. given #4837 (H,wt=13): 5277 K(x,y) = x * (((y * x) / y) \ 1). [hyper(273,a,1171,a,b,5105,a),flip(a)]. given #4838 (H,wt=13): 5278 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(115,a,5105,a,b,1171,a),flip(a)]. given #4839 (H,wt=13): 5291 (x / y) * K(y \ x,y) = y \ x. [para(10(a,1),5130(a,1,1,1))]. given #4840 (H,wt=13): 5300 K(x,y / x) * y = x * (y / x). [para(12(a,1),5132(a,1,2))]. given #4841 (H,wt=13): 5331 L(x,y,x * K(y,x)) = L(x,y,x). [para(5135(a,1),4357(a,1,3))]. given #4842 (H,wt=13): 5347 K(1 / x,y) / x = T(1 / x,y). [hyper(316,a,5158,a(flip))]. given #4843 (H,wt=13): 5366 K(x,y) / x = 1 / ((y * x) / y). [hyper(116,a,5295,a,b,1601,a)]. given #4844 (H,wt=13): 5367 x / (y / (y / x)) = K(x,x \ y). [para(4294(a,1),5295(a,2,2)),flip(a)]. given #4845 (H,wt=13): 5386 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5368(a,1),4583(a,2,2))]. given #4846 (H,wt=13): 5396 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(115,a,5371,a(flip),b,4587,a),flip(a)]. given #4847 (H,wt=13): 5407 x \ (y * (x / y)) = K(y,y \ x). [hyper(62,a,89,a,b,5357,a)]. given #4848 (H,wt=13): 5408 x * K(y,y \ x) = y * (x / y). [para(5357(a,1),261(a,1,2))]. given #4849 (H,wt=9): 5601 T(x,K(y,y \ x)) = x. [hyper(212,a,5408,a,b,5182,a)]. given #4850 (H,wt=13): 5434 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(115,a,5388,a,b,108,a)]. given #4851 (H,wt=13): 5485 K(x,y) \ (1 / T(y,x)) = 1 / y. [hyper(115,a,5128,a(flip),b,2135,a)]. given #4852 (H,wt=13): 5487 x \ (T(x,y) * z) = K(x,y) * z. [hyper(122,a,5137,a)]. given #4853 (H,wt=13): 5488 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(115,a,5158,a,b,5137,a),flip(a)]. given #4854 (H,wt=13): 5489 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(115,a,10,a(flip),b,5137,a),flip(a)]. given #4855 (H,wt=13): 5501 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(965,a,5138,a)]. given #4856 (H,wt=13): 5504 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(128,a,5138,a)]. given #4857 (H,wt=13): 5505 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(122,a,5138,a)]. given #4858 (H,wt=13): 5506 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(115,a,5387,a(flip),b,5138,a),flip(a)]. given #4859 (H,wt=13): 5511 (x * y) / (T(x,z) * y) = K(z,x). [hyper(116,a,4637,a(flip),b,5138,a(flip))]. given #4860 (H,wt=13): 5512 K(x,y) \ (y * z) = T(y,x) * z. [hyper(115,a,4637,a(flip),b,5138,a(flip))]. given #4861 (H,wt=13): 5517 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1002,a,5141,a)]. given #4862 (H,wt=13): 5518 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(964,a,5141,a),flip(a)]. given #4863 (H,wt=13): 5531 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [hyper(171,a,5172,a),flip(a)]. given #4864 (H,wt=13): 5554 K(x * y,T(y,x)) = K(x * y,y). [para(4245(a,2),5552(a,1,2))]. given #4865 (H,wt=11): 5626 K(x * y,y) = K(y * x,y). [hyper(4487,a,5554,a),flip(a)]. given #4866 (H,wt=13): 5555 K(x * y,T(x,y)) = K(x * y,x). [para(9(a,1),5553(a,1,2,2))]. given #4867 (H,wt=13): 5560 K(x,y) * (x / y) = x / T(y,x). [hyper(4465,a,5198,a),flip(a)]. given #4868 (H,wt=13): 5567 T(x * K(x * y,x),y * x) = x. [hyper(4312,a,5209,a),flip(a)]. given #4869 (H,wt=13): 5583 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5278(a,1),2959(a,1,2))]. given #4870 (H,wt=13): 5591 1 / (x * K(y,x)) = K(x,y) / x. [para(5135(a,1),5366(a,2,2)),flip(a)]. given #4871 (H,wt=13): 5595 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(128,a,5396,a)]. given #4872 (H,wt=13): 5611 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1542,a,5488,a)]. given #4873 (H,wt=13): 5625 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(5116(a,1),5531(a,2,1)),flip(a)]. given #4874 (H,wt=13): 5631 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(171,a,5591,a)]. given #4875 (H,wt=14): 5169 x \ L(T(x,y),y,x) = K(x,x * y). [para(645(a,2),5111(a,2,2)),flip(a)]. given #4876 (H,wt=14): 5211 (x * y) / x != z | y * K(x,y) = z. [para(5134(a,1),333(a,1,1,2)),flip(b)]. given #4877 (H,wt=14): 5284 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(5114(a,2),290(a,1,1))]. given #4878 (H,wt=14): 5288 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5116(a,1),331(a,1,2)),flip(b)]. given #4879 (H,wt=14): 5301 x * (y * z) != z * y | K(z,y) = x. [para(5132(a,1),43(a,1)),flip(a)]. given #4880 (H,wt=14): 5311 (x * y) / x != y * z | K(x,y) = z. [para(5135(a,2),42(a,1))]. given #4881 (H,wt=14): 5313 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5135(a,1),333(a,1))]. given #4882 (H,wt=14): 5318 T(x * K(y,x),x * y) = L(x,y,x). [para(5135(a,1),653(a,1,1))]. given #4883 (H,wt=14): 5319 T(x * K(y * x,x),y) = R(x,y,x). [para(5135(a,1),704(a,2,1)),flip(a)]. given #4884 (H,wt=14): 5332 T(x * K(y,x),y * x) = L(x,y,x). [para(5135(a,1),4358(a,1,1))]. given #4885 (H,wt=14): 5337 K(x,y) * y != z | (x * y) / x = z. [para(5152(a,2),222(a,1,1))]. given #4886 (H,wt=14): 5341 x * K(y,x) != z | (y * x) / y = z. [para(5154(a,2),225(a,1,2))]. given #4887 (H,wt=14): 5362 x * y != z * x | K(z,x) * z = y. [para(5253(a,1),42(a,1)),flip(a)]. given #4888 (H,wt=14): 5365 ((x * y) / x) / y != z | K(x,y) = z. [para(5268(a,2),280(a,1,1))]. given #4889 (H,wt=14): 5399 K(T(x,x * y),y) = K(L(x,y,x),y). [para(647(a,1),5372(a,1,1))]. given #4890 (H,wt=14): 5423 K(x,y) * z != u | K(y,x) * u = z. [para(5387(a,1),42(a,1)),flip(a)]. given #4891 (H,wt=14): 5425 x * (K(y,z) * u) != u | K(z,y) = x. [para(5387(a,1),43(a,1)),flip(a)]. given #4892 (H,wt=14): 5426 x / (K(y,z) * x) != u | K(z,y) = u. [para(5387(a,1),280(a,1,1))]. given #4893 (H,wt=14): 5427 K(x,y) \ z != u | K(y,x) * z = u. [para(5387(a,1),288(a,1,2))]. given #4894 (H,wt=14): 5437 K(x,y) * (K(y,x) * z) != u | z = u. [para(5388(a,1),225(a,1,2))]. given #4895 (H,wt=14): 5438 K(x,y) * (K(y,x) * z) != u | u = z. [para(5388(a,1),328(a,1))]. given #4896 (H,wt=14): 5444 K(x,y) != z / u | K(y,x) * z = u. [para(5419(a,1),44(a,1))]. given #4897 (H,wt=14): 5462 K(x,x \ (y * x)) != z | K(x,y) = z. [para(22(a,1),5385(a,1,2))]. given #4898 (H,wt=14): 5464 K(x,x \ y) != z | K(x,y / x) = z. [para(110(a,1),5385(a,1,2))]. given #4899 (H,wt=14): 5492 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(33,a,4453,a(flip),b,5137,a),flip(a)]. given #4900 (H,wt=14): 5493 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(33,a,4451,a(flip),b,5137,a),flip(a)]. given #4901 (H,wt=14): 5494 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(33,a,4324,a(flip),b,5137,a),flip(a)]. given #4902 (H,wt=14): 5538 T(x \ y,R(y / x,z,u)) = x \ y. [para(5176(a,1),4726(a,1,2,1))]. given #4903 (H,wt=14): 5568 T(x * K(x * y,x),y) = R(x,y,x). [hyper(4303,a,5209,a),flip(a)]. given #4904 (H,wt=14): 5627 K(x * y,y) != z | K(y * x,y) = z. [para(5554(a,1),4487(a,1))]. given #4905 (H,wt=14): 5639 K(x,y) * z != u | K(y,x) \ z = u. [para(10(a,1),5437(a,1,2))]. given #4906 (H,wt=14): 5642 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3213,a,5493,a)]. given #4907 (H,wt=14): 5644 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3213,a,5494,a)]. given #4908 (H,wt=15): 5088 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(62,a,4970,a,b,5065,a)]. given #4909 (H,wt=15): 5089 ((x \ y) * x) / y = T(K(x \ y,x),y). [hyper(273,a,5065,a,b,5069,a)]. given #4910 (H,wt=15): 5106 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(273,a,3262,a,b,5102,a)]. given #4911 (H,wt=15): 5109 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(273,a,3094,a,b,5102,a),flip(a)]. given #4912 (H,wt=15): 5115 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(115,a,5102,a,b,3094,a)]. given #4913 (H,wt=15): 5125 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1679(a,1),5102(a,2,1))]. given #4914 (H,wt=13): 5655 K((1 / x) \ y,y) = K(y * x,y). [hyper(273,a,5102,a,b,5125,a),flip(a)]. given #4915 (H,wt=13): 5656 K((1 / x) \ y,y) = K(x * y,y). [hyper(273,a,5626,a,b,5655,a),flip(a)]. given #4916 (H,wt=13): 5657 K(x * (y \ 1),x) = K(y \ x,x). [para(74(a,1),5655(a,1,1,1)),flip(a)]. given #4917 (H,wt=13): 5659 K((x \ 1) * y,y) = K(x \ y,y). [para(74(a,1),5656(a,1,1,1)),flip(a)]. given #4918 (H,wt=15): 5139 K(x / y,z) * x = y * T(y \ x,z). [para(5102(a,2),4378(a,1,1))]. given #4919 (H,wt=15): 5144 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(23(a,1),5108(a,2,2)),flip(a)]. given #4920 (H,wt=15): 5149 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4775(a,1),5108(a,2,2))]. given #4921 (H,wt=13): 5666 K(x * K(y,y \ 1),z) = K(x,z). [hyper(273,a,5108,a,b,5149,a),flip(a)]. given #4922 (H,wt=13): 5667 K(x * K(y \ 1,y),z) = K(x,z). [para(1807(a,1),5666(a,1,1,2))]. given #4923 (H,wt=13): 5672 K(K(x,x \ 1) * y,z) = K(y,z). [para(3007(a,2),5666(a,1,1))]. given #4924 (H,wt=13): 5673 K(K(x \ 1,x) * y,z) = K(y,z). [para(3041(a,1),5666(a,1,1)),flip(a)]. given #4925 (H,wt=15): 5150 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(273,a,4108,a,b,5111,a)]. given #4926 (H,wt=15): 5153 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(273,a,3912,a,b,5111,a)]. given #4927 (H,wt=15): 5156 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(273,a,3275,a,b,5111,a),flip(a)]. given #4928 (H,wt=15): 5186 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4775(a,1),5111(a,2,2))]. given #4929 (H,wt=13): 5703 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(273,a,5111,a,b,5186,a),flip(a)]. given #4930 (H,wt=13): 5704 K(x,y * K(z,1 / z)) = K(x,y). [para(1802(a,2),5703(a,1,2,2))]. given #4931 (H,wt=13): 5710 K(x,K(y,y \ 1) * z) = K(x,z). [para(3007(a,2),5703(a,1,2))]. given #4932 (H,wt=13): 5711 K(x,K(y \ 1,y) * z) = K(x,z). [para(3041(a,1),5703(a,1,2)),flip(a)]. given #4933 (H,wt=13): 5717 K(x,K(y,1 / y) * z) = K(x,z). [para(3003(a,2),5704(a,1,2))]. given #4934 (H,wt=15): 5205 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(4334,a,5134,a)]. given #4935 (H,wt=15): 5212 T(x * K(y,x),z) * y = y * T(x,z). [para(5134(a,1),209(a,1,2,1)),flip(a)]. given #4936 (H,wt=15): 5213 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5134(a,1),243(a,1,1,2,1)),flip(a)]. given #4937 (H,wt=15): 5225 T(1 / (1 / x),y) = K(x,y) / (1 / x). [hyper(116,a,5157,a,b,1489,a),flip(a)]. given #4938 (H,wt=15): 5246 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3107(a,1),5163(a,2,2)),flip(a)]. given #4939 (H,wt=15): 5248 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(424,a,5173,a),flip(a)]. given #4940 (H,wt=15): 5282 x * (K(y,z) / z) = x * (1 / T(z,y)). [hyper(57,a,5114,a)]. given #4941 (H,wt=15): 5286 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(5114(a,2),2934(a,1,2)),flip(a)]. given #4942 (H,wt=15): 5287 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(109(a,1),5116(a,1,1))]. given #4943 (H,wt=15): 5304 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(273,a,3650,a(flip),b,5135,a)]. given #4944 (H,wt=15): 5309 x \ T(x * y,y) = y * K(x * y,y). [hyper(62,a,4102,a(flip),b,5135,a)]. given #4945 (H,wt=15): 5310 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(57,a,5135,a)]. given #4946 (H,wt=15): 5333 ((x * y) / x) * z = y * (K(x,y) * z). [para(5135(a,2),4568(a,1,1))]. given #4947 (H,wt=15): 5334 K(x,y) * (y * z) = ((x * y) / x) * z. [para(5135(a,2),4572(a,1,1)),flip(a)]. given #4948 (H,wt=15): 5339 (x \ T(x * y,y)) / y = K(x * y,y). [para(4102(a,1),5152(a,2,1)),flip(a)]. given #4949 (H,wt=15): 5346 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(115,a,5158,a,b,108,a),flip(a)]. given #4950 (H,wt=15): 5352 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3465(a,1),5174(a,1,1))]. given #4951 (H,wt=15): 5356 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(25(a,2),5354(a,1,2))]. given #4952 (H,wt=15): 5359 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(218(a,1),5354(a,1,2)),flip(a)]. given #4953 (H,wt=15): 5389 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5368(a,1),5158(a,2,2)),flip(a)]. given #4954 (H,wt=15): 5395 K(x,y) * T(K(y,x),z) = K(K(y,x),z). [para(5370(a,1),5155(a,2,1)),flip(a)]. given #4955 (H,wt=15): 5404 K(x / (x / y),y \ x) = K(y,y \ x). [para(4278(a,1),5372(a,1,1)),flip(a)]. given #4956 (H,wt=15): 5406 K((x / y) \ x,z / y) = K(y,y \ z). [hyper(62,a,622,a,b,5357,a)]. given #4957 (H,wt=15): 5417 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5384(a,1),4583(a,2,2))]. given #4958 (H,wt=15): 5418 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(213,a,5387,a),flip(a)]. given #4959 (H,wt=15): 5421 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(33,a,2226,a(flip),b,5387,a),flip(a)]. given #4960 (H,wt=15): 5433 K(x,y \ 1) \ y = y * K(y \ 1,x). [hyper(273,a,1548,a(flip),b,5388,a),flip(a)]. given #4961 (H,wt=15): 5446 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3210(a,2),5419(a,1,2))]. given #4962 (H,wt=15): 5490 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(33,a,4379,a,b,5137,a)]. given #4963 (H,wt=15): 5491 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(33,a,943,a,b,5137,a),flip(a)]. given #4964 (H,wt=15): 5507 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(62,a,5137,a,b,5138,a)]. given #4965 (H,wt=15): 5508 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(62,a,4430,a,b,5138,a)]. given #4966 (H,wt=15): 5513 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(115,a,5138,a(flip),b,5137,a)]. given #4967 (H,wt=15): 5516 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5111(a,2),5138(a,1,2)),flip(a)]. given #4968 (H,wt=15): 5533 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(5176(a,1),3462(a,1,2))]. given #4969 (H,wt=15): 5534 (1 / (x \ y)) * (y / x) = K(x,x \ y). [para(5176(a,1),3464(a,1,2))]. given #4970 (H,wt=15): 5539 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(273,a,5137,a,b,5178,a),flip(a)]. given #4971 (H,wt=15): 5558 K(x,(x \ 1) * y) * y = x * (y / x). [para(4482(a,2),5182(a,1,1))]. given #4972 (H,wt=15): 5561 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(116,a,5163,a,b,5198,a)]. given #4973 (H,wt=15): 5562 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [hyper(115,a,5163,a,b,5198,a)]. given #4974 (H,wt=15): 5569 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(425,a,5209,a)]. given #4975 (H,wt=15): 5585 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(5278(a,1),4440(a,1,2))]. given #4976 (H,wt=15): 5664 x / (y * T(y \ x,z)) = K(z,x / y). [para(5139(a,1),5419(a,1,2))]. given #4977 (H,wt=15): 5668 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2540(a,1),5666(a,1,1))]. given #4978 (H,wt=13): 5771 K((x \ 1) \ y,y) = K(y * x,y). [hyper(62,a,5657,a(flip),b,5668,a)]. given #4979 (H,wt=13): 5774 K((x \ 1) \ y,y) = K(x * y,y). [hyper(273,a,5626,a,b,5771,a),flip(a)]. given #4980 (H,wt=13): 5775 K((1 / x) * y,y) = K(x \ y,y). [para(77(a,1),5774(a,1,1,1)),flip(a)]. given #4981 (H,wt=15): 5669 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2588(a,1),5666(a,1,1)),flip(a)]. given #4982 (H,wt=15): 5670 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2637(a,1),5666(a,1,1)),flip(a)]. given #4983 (H,wt=15): 5671 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2638(a,1),5666(a,1,1))]. given #4984 (H,wt=15): 5674 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3048(a,1),5666(a,1,1)),flip(a)]. given #4985 (H,wt=15): 5675 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3049(a,1),5666(a,1,1))]. given #4986 (H,wt=15): 5677 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(4833(a,1),5666(a,1,1))]. given #4987 (H,wt=15): 5679 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(3027(a,2),5667(a,1,1))]. given #4988 (H,wt=15): 5681 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(3031(a,1),5667(a,1,1))]. given #4989 (H,wt=15): 5682 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4824(a,1),5667(a,1,1)),flip(a)]. given #4990 (H,wt=15): 5686 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(2723(a,1),5672(a,1,1)),flip(a)]. given #4991 (H,wt=15): 5695 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(116,a,5153,a(flip),b,779,a)]. given #4992 (H,wt=15): 5705 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2540(a,1),5703(a,1,2))]. given #4993 (H,wt=15): 5706 K(x,y / (1 / (1 / z))) = K(x,y / z). [para(2596(a,1),5703(a,1,2))]. given #4994 (H,wt=15): 5708 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2638(a,1),5703(a,1,2))]. given #4995 (H,wt=15): 5713 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(3048(a,1),5703(a,1,2)),flip(a)]. given #4996 (H,wt=15): 5714 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3049(a,1),5703(a,1,2))]. given #4997 (H,wt=15): 5715 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(3051(a,1),5703(a,1,2))]. given #4998 (H,wt=15): 5716 K(x,(1 / y) / z) = K(x,(y \ 1) / z). [para(3819(a,1),5703(a,1,2))]. given #4999 (H,wt=15): 5719 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2746(a,1),5710(a,1,2)),flip(a)]. given #5000 (H,wt=15): 5723 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4826(a,1),5711(a,1,2)),flip(a)]. given #5001 (H,wt=15): 5729 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3792(a,1),5717(a,1,2))]. given #5002 (H,wt=15): 5739 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [hyper(62,a,5225,a(flip),b,5286,a)]. given #5003 (H,wt=15): 5741 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(330,a,5310,a)]. given #5004 (H,wt=15): 5754 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5135(a,1),5490(a,1,1))]. given #5005 (H,wt=15): 5762 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(273,a,3151,a(flip),b,5516,a)]. given #5006 (H,wt=15): 5767 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(273,a,2226,a,b,5562,a),flip(a)]. given #5007 (H,wt=15): 5784 K(x,(1 / x) * y) * y = x * (y / x). [para(5714(a,2),5558(a,1,1))]. given #5008 (H,wt=16): 5067 x * K(x \ y,x) != z | y / (y / x) = z. [para(5062(a,1),225(a,1,2))]. given #5009 (H,wt=16): 5081 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5063(a,1),4391(a,1,1))]. given #5010 (H,wt=16): 5143 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5102(a,2),4629(a,1,1))]. given #5011 (H,wt=16): 5168 x * K(x,y) != z * u | T(x,y) / u = z. [para(5111(a,2),284(a,1,2))]. given #5012 (H,wt=16): 5190 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(5117(a,2),539(a,1,1))]. given #5013 (H,wt=16): 5195 T(x,y) \ x != z * u | K(y,x) / u = z. [para(5118(a,1),503(a,1,2))]. given #5014 (H,wt=16): 5206 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(4303,a,5134,a),flip(a)]. given #5015 (H,wt=16): 5229 K(x,y) * x != z * u | T(x,y) / u = z. [para(5157(a,2),376(a,1,1))]. given #5016 (H,wt=16): 5241 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(5163(a,2),285(a,1,2))]. given #5017 (H,wt=16): 5257 T(x,y) / x != z * u | K(x,y) / u = z. [para(5173(a,2),277(a,1,1))]. given #5018 (H,wt=16): 5377 K(x,y) * K(y,x) != z * u | z \ 1 = u. [para(5368(a,1),378(a,1,2))]. given #5019 (H,wt=16): 5401 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(715(a,1),5372(a,1,1)),flip(a)]. given #5020 (H,wt=16): 5451 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4198(a,2),5189(a,1))]. given #5021 (H,wt=16): 5458 x * T(x \ 1,y) != z | K(1 / x,y) = z. [para(674(a,1),5239(a,1))]. given #5022 (H,wt=14): 5794 K(x \ 1,y) != z | K(1 / x,y) = z. [para(5112(a,1),5458(a,1))]. given #5023 (H,wt=16): 5496 T(x,y) * z != x * u | K(x,y) * z = u. [para(5137(a,1),42(a,1))]. given #5024 (H,wt=16): 5499 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(5137(a,1),288(a,1,2))]. given #5025 (H,wt=16): 5521 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5141(a,1),964(a,1))]. given #5026 (H,wt=16): 5522 K(x,y) * z != u | T(y,x) \ (y * z) = u. [para(5141(a,1),1002(a,1))]. given #5027 (H,wt=16): 5527 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(5142(a,1),288(a,1,2))]. given #5028 (H,wt=16): 5528 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(5142(a,1),287(a,1))]. given #5029 (H,wt=16): 5532 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(5172(a,1),290(a,1,1))]. given #5030 (H,wt=16): 5543 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5178(a,1),287(a,1))]. given #5031 (H,wt=16): 5565 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5198(a,1),288(a,1,2))]. given #5032 (H,wt=16): 5572 T(x,y) != T(z,u) | T(z * K(y,z),u) = x. [para(5209(a,1),48(a,2)),flip(b)]. given #5033 (H,wt=16): 5596 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5396(a,1),280(a,1,1))]. given #5034 (H,wt=16): 5598 x * K(y,y \ x) != z | y * (x / y) = z. [para(5407(a,1),225(a,1,2))]. given #5035 (H,wt=16): 5604 x * (y / x) != y * z | K(x,x \ y) = z. [para(5408(a,1),42(a,1))]. given #5036 (H,wt=16): 5608 x \ y != K(x,z) * u | T(x,z) * u = y. [para(5487(a,1),46(a,1)),flip(a)]. given #5037 (H,wt=16): 5609 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5487(a,1),225(a,1,2))]. given #5038 (H,wt=16): 5610 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5487(a,1),955(a,1))]. given #5039 (H,wt=16): 5612 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5489(a,1),42(a,1))]. given #5040 (H,wt=16): 5619 K(x,y) * (T(y,x) * z) != u | y * z = u. [para(5511(a,1),222(a,1,1))]. given #5041 (H,wt=16): 5634 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(5611(a,1),43(a,1))]. given #5042 (H,wt=16): 5635 1 / (x * K(y,x)) != z | K(x,y) / x = z. [para(5631(a,1),331(a,1,2)),flip(b)]. given #5043 (H,wt=16): 5638 x * (T(x,y) \ x) != z | (y * x) / y = z. [para(5141(a,2),5337(a,1))]. given #5044 (H,wt=16): 5641 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5142(a,1),5437(a,1,2))]. given #5045 (H,wt=16): 5646 (K(x,y) \ 1) * z != u | K(x,y) \ z = u. [para(5368(a,2),5639(a,1,1))]. given #5046 (H,wt=16): 5647 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(115,a,5642,a(flip),b,5137,a),flip(a)]. given #5047 (H,wt=16): 5648 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(115,a,5644,a(flip),b,5137,a),flip(a)]. given #5048 (H,wt=16): 5804 x * (y * K(x,y)) != z | T(x,y) * y = z. [para(3204(a,1),5609(a,1,2))]. given #5049 (H,wt=16): 5809 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2230,a,5648,a)]. given #5050 (H,wt=16): 5810 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5626(a,2),5648(a,1,2))]. given #5051 (H,wt=16): 5811 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5626(a,2),5809(a,1,1))]. given #5052 (H,wt=17): 5075 (x \ y) * K((x \ y) \ y,x \ y) = y / x. [para(74(a,1),5063(a,1,2)),flip(a)]. given #5053 (H,wt=17): 5082 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(5063(a,1),4488(a,1,2))]. given #5054 (H,wt=17): 5083 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(5063(a,2),4568(a,1,1))]. given #5055 (H,wt=17): 5086 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4685(a,1),5063(a,2,2))]. given #5056 (H,wt=17): 5192 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3638(a,1),5117(a,2,2)),flip(a)]. given #5057 (H,wt=17): 5207 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(425,a,5134,a)]. given #5058 (H,wt=17): 5214 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5134(a,1),210(a,1,2,1)),flip(a)]. given #5059 (H,wt=17): 5215 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5134(a,1),211(a,1,2,1)),flip(a)]. given #5060 (H,wt=17): 5220 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(5134(a,1),2934(a,1,2,2)),flip(a)]. given #5061 (H,wt=15): 5824 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5591(a,1),5220(a,1,1,2))]. given #5062 (H,wt=17): 5223 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(5134(a,1),4228(a,1,2,1)),flip(a)]. given #5063 (H,wt=17): 5235 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(62,a,4779,a,b,5163,a),flip(a)]. given #5064 (H,wt=17): 5247 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(5163(a,1),3138(a,2,2))]. given #5065 (H,wt=13): 5826 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(62,a,3138,a(flip),b,5247,a),flip(a)]. given #5066 (H,wt=17): 5290 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5116(a,2),3481(a,2,1))]. given #5067 (H,wt=17): 5303 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3997,a,5135,a)]. given #5068 (H,wt=17): 5305 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(273,a,3645,a(flip),b,5135,a)]. given #5069 (H,wt=17): 5320 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5135(a,1),759(a,1,1))]. given #5070 (H,wt=17): 5321 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5135(a,1),764(a,1,1))]. given #5071 (H,wt=17): 5335 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5135(a,1),4964(a,1,1,2))]. given #5072 (H,wt=17): 5360 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(220(a,1),5354(a,1,2)),flip(a)]. given #5073 (H,wt=17): 5457 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(645(a,2),5239(a,1,2))]. given #5074 (H,wt=17): 5470 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(62,a,1162,a(flip),b,5112,a)]. given #5075 (H,wt=13): 5837 K((x / y) \ 1,z) = K(y / x,z). [hyper(62,a,5150,a(flip),b,5470,a),flip(a)]. given #5076 (H,wt=13): 5841 K(1 / (x / y),z) = K(y / x,z). [hyper(5794,a,5837,a)]. given #5077 (H,wt=13): 5842 K((x / y) \ 1,x) = K(x \ y,x). [hyper(273,a,5373,a(flip),b,5837,a),flip(a)]. given #5078 (H,wt=13): 5843 K(x / (y * x),z) = K(y \ 1,z). [para(11(a,1),5837(a,1,1,1)),flip(a)]. given #5079 (H,wt=13): 5844 K((x / (y * x)) \ 1,z) = K(y,z). [para(11(a,1),5837(a,2,1))]. given #5080 (H,wt=13): 5845 K((x \ y) / y,z) = K(x \ 1,z). [para(74(a,1),5837(a,1,1,1)),flip(a)]. given #5081 (H,wt=15): 5846 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(5837(a,1),5368(a,1,1)),flip(a)]. given #5082 (H,wt=13): 5854 K(x,(y / z) \ 1) = K(x,z / y). [hyper(273,a,5368,a(flip),b,5846,a),flip(a)]. given #5083 (H,wt=13): 5857 K(x,1 / (y / z)) = K(x,z / y). [hyper(62,a,3637,a,b,5854,a)]. given #5084 (H,wt=13): 5858 K(x,y / (z * y)) = K(x,z \ 1). [para(11(a,1),5854(a,1,2,1)),flip(a)]. given #5085 (H,wt=13): 5860 K(x,(y \ z) / z) = K(x,y \ 1). [para(74(a,1),5854(a,1,2,1)),flip(a)]. given #5086 (H,wt=13): 5862 K(x,y / (z * y)) = K(x,1 / z). [para(11(a,1),5857(a,1,2,2)),flip(a)]. given #5087 (H,wt=15): 5848 T(K(x \ y,x),y) = K((x / y) \ 1,x). [hyper(273,a,5069,a,b,5842,a)]. given #5088 (H,wt=15): 5849 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(273,a,4472,a(flip),b,5842,a),flip(a)]. given #5089 (H,wt=16): 5847 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5841(a,1),3353(a,1))]. given #5090 (H,wt=16): 5851 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5843(a,2),5794(a,1))]. given #5091 (H,wt=16): 5855 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5846(a,2),5392(a,1))]. given #5092 (H,wt=14): 5873 K(x,y \ 1) != z | K(x,1 / y) = z. [para(72(a,1),5855(a,1,2,1))]. given #5093 (H,wt=14): 5874 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(77(a,1),5873(a,1,2))]. given #5094 (H,wt=16): 5870 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(5862(a,2),1836(a,1))]. given #5095 (H,wt=16): 5872 K(x,y \ 1) != z | K(x,u / (y * u)) = z. [para(11(a,1),5855(a,1,2,1))]. given #5096 (H,wt=17): 5471 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(62,a,1144,a(flip),b,5112,a)]. given #5097 (H,wt=17): 5476 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5112(a,1),1143(a,1,2)),flip(a)]. given #5098 (H,wt=17): 5477 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5112(a,1),1160(a,1,1))]. given #5099 (H,wt=17): 5497 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(108(a,1),5137(a,1,2)),flip(a)]. given #5100 (H,wt=17): 5500 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2226(a,1),5137(a,1,2))]. given #5101 (H,wt=17): 5502 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(849,a,5138,a)]. given #5102 (H,wt=17): 5519 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(116,a,4647,a,b,5141,a(flip))]. given #5103 (H,wt=17): 5525 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5111(a,2),5141(a,1,2)),flip(a)]. given #5104 (H,wt=17): 5529 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1467(a,1),5151(a,2,1)),flip(a)]. given #5105 (H,wt=17): 5535 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5176(a,1),4568(a,1,1)),flip(a)]. given #5106 (H,wt=17): 5536 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5176(a,1),4572(a,1,1)),flip(a)]. given #5107 (H,wt=17): 5541 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(115,a,108,a(flip),b,5178,a)]. given #5108 (H,wt=17): 5570 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(39,a,5221,a,b,5209,a)]. given #5109 (H,wt=17): 5571 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(39,a,5134,a,b,5209,a)]. given #5110 (H,wt=17): 5575 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(22(a,2),5250(a,1,2))]. given #5111 (H,wt=17): 5615 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(4193,a,5505,a),flip(a)]. given #5112 (H,wt=17): 5624 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [para(5354(a,1),5518(a,1,1))]. given #5113 (H,wt=17): 5650 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(9(a,1),5088(a,1,1,1)),flip(a)]. given #5114 (H,wt=13): 5917 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(62,a,621,a(flip),b,5650,a)]. given #5115 (H,wt=13): 5918 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(115,a,621,a(flip),b,5650,a(flip))]. given #5116 (H,wt=17): 5652 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(5109(a,2),3020(a,1,2))]. given #5117 (H,wt=17): 5653 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [para(5109(a,1),5163(a,2,2)),flip(a)]. given #5118 (H,wt=17): 5678 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4772(a,2),5666(a,1,1))]. given #5119 (H,wt=15): 5926 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(5274(a,1),5678(a,1,1,2)),flip(a)]. given #5120 (H,wt=17): 5683 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4823(a,2),5667(a,1,1))]. given #5121 (H,wt=17): 5718 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4763(a,1),5704(a,1,2))]. given #5122 (H,wt=17): 5724 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4857(a,2),5711(a,1,2))]. given #5123 (H,wt=17): 5728 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(5002(a,2),5711(a,1,2))]. given #5124 (H,wt=17): 5734 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(116,a,5213,a,b,5268,a(flip))]. given #5125 (H,wt=17): 5735 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(115,a,5213,a,b,5135,a(flip))]. given #5126 (H,wt=17): 5737 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5213(a,2),5105(a,2,1)),flip(a)]. given #5127 (H,wt=17): 5742 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(5178(a,1),5333(a,2,2))]. given #5128 (H,wt=17): 5745 ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). [para(5163(a,2),5334(a,1,2)),flip(a)]. given #5129 (H,wt=17): 5751 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(10(a,1),5490(a,1,1,1)),flip(a)]. given #5130 (H,wt=17): 5752 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(12(a,1),5490(a,1,1,1))]. given #5131 (H,wt=17): 5756 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(273,a,4231,a,b,5491,a)]. given #5132 (H,wt=17): 5760 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(5111(a,2),5507(a,1,2,2))]. given #5133 (H,wt=17): 5793 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(5458,a,1162,a),flip(a)]. given #5134 (H,wt=17): 5825 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5824(a,1),108(a,1,2)),flip(a)]. given #5135 (H,wt=17): 5828 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(273,a,2957,a(flip),b,5305,a)]. given #5136 (H,wt=15): 5952 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(5278(a,1),5828(a,1,1))]. given #5137 (H,wt=17): 5838 x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). [para(5470(a,1),78(a,1,2,1))]. given #5138 (H,wt=17): 5850 K((x * y) \ y,x * y) = K(x \ 1,x * y). [para(11(a,1),5842(a,1,1,1)),flip(a)]. given #5139 (H,wt=17): 5887 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(116,a,5476,a(flip),b,417,a)]. given #5140 (H,wt=17): 5892 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(62,a,4568,a,b,5500,a)]. given #5141 (H,wt=17): 5894 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [hyper(35,a,5419,a,b,5519,a)]. given #5142 (H,wt=17): 5895 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3232,a,5525,a)]. given #5143 (H,wt=17): 5898 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(115,a,10,a(flip),b,5535,a),flip(a)]. given #5144 (H,wt=17): 5907 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [hyper(5423,a,5536,a)]. given #5145 (H,wt=17): 5916 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(128,a,5615,a)]. given #5146 (H,wt=17): 5920 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(3469,a,5652,a)]. given #5147 (H,wt=17): 5929 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(3003(a,2),5718(a,1,2,2))]. given #5148 (H,wt=17): 5930 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1807(a,1),5724(a,1,2,1,1))]. given #5149 (H,wt=17): 5944 (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. [hyper(62,a,5513,a,b,5751,a)]. given #5150 (H,wt=17): 5948 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(273,a,3003,a(flip),b,5752,a)]. given #5151 (H,wt=17): 5963 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(62,a,5310,a,b,5920,a)]. given #5152 (H,wt=18): 5119 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(25(a,2),5102(a,2,1)),flip(a)]. given #5153 (H,wt=18): 5120 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(27(a,2),5102(a,2,1)),flip(a)]. given #5154 (H,wt=18): 5145 L(x,y,z) / L(T(x,u),y,z) = K(u,L(x,y,z)). [para(25(a,2),5108(a,2,2)),flip(a)]. given #5155 (H,wt=18): 5146 R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). [para(27(a,2),5108(a,2,2)),flip(a)]. given #5156 (H,wt=18): 5164 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(25(a,2),5111(a,2,2)),flip(a)]. given #5157 (H,wt=18): 5165 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(27(a,2),5111(a,2,2)),flip(a)]. given #5158 (H,wt=18): 5217 x * T(y,z) != u * x | T(y * K(x,y),z) = u. [para(5134(a,1),373(a,1,2,1))]. given #5159 (H,wt=18): 5237 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(5163(a,2),20(a,2,2)),flip(a)]. given #5160 (H,wt=18): 5240 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5163(a,2),105(a,2,1))]. given #5161 (H,wt=18): 5252 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(62,a,25,a,b,5173,a),flip(a)]. given #5162 (H,wt=16): 5968 L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. [para(5252(a,1),5227(a,1))]. given #5163 (H,wt=18): 5256 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(5173(a,2),96(a,2,2))]. given #5164 (H,wt=18): 5293 ((x * y) / x) \ y != z * u | z \ K(y,x) = u. [para(5130(a,1),285(a,1,2))]. given #5165 (H,wt=18): 5297 x / ((y * x) / y) != z * u | K(x,y) / u = z. [para(5131(a,1),277(a,1,1))]. given #5166 (H,wt=18): 5307 ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). [hyper(62,a,1279,a,b,5135,a)]. given #5167 (H,wt=18): 5315 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5135(a,1),105(a,1,1))]. given #5168 (H,wt=16): 5969 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(273,a,5135,a(flip),b,5315,a),flip(a)]. given #5169 (H,wt=18): 5317 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5135(a,1),489(a,1,1))]. given #5170 (H,wt=18): 5323 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(5135(a,1),852(a,1,1,1))]. given #5171 (H,wt=18): 5327 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5135(a,1),1280(a,2,1)),flip(a)]. given #5172 (H,wt=18): 5342 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(5154(a,2),287(a,1,2,2))]. given #5173 (H,wt=18): 5343 x * K(y,x) != z * u | z \ ((y * x) / y) = u. [para(5154(a,2),378(a,1,2))]. given #5174 (H,wt=18): 5349 (1 / x) * T(x,y) != z * u | K(x,y) / u = z. [para(5161(a,2),284(a,1,2))]. given #5175 (H,wt=18): 5378 x * (K(y,z) * K(z,y)) != u * w | x / w = u. [para(5368(a,1),374(a,1,2,2))]. given #5176 (H,wt=18): 5379 x * (K(y,z) * K(z,y)) != u * w | u \ x = w. [para(5368(a,1),377(a,1,2,2))]. given #5177 (H,wt=18): 5400 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(598(a,1),5372(a,1,1))]. given #5178 (H,wt=18): 5402 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(707(a,1),5372(a,1,1)),flip(a)]. given #5179 (H,wt=18): 5414 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(116,a,5374,a(flip),b,104,a(flip))]. given #5180 (H,wt=18): 5424 K(x,y) * (K(y,x) * (z * u)) != z * w | u = w. [para(5387(a,2),42(a,1))]. given #5181 (H,wt=18): 5440 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(5388(a,1),285(a,1))]. given #5182 (H,wt=18): 5449 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3107(a,1),5167(a,1,2))]. given #5183 (H,wt=18): 5452 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(23(a,1),5202(a,1,2))]. given #5184 (H,wt=18): 5459 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(4108(a,2),5239(a,1))]. given #5185 (H,wt=16): 5977 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5470(a,1),5459(a,1))]. given #5186 (H,wt=16): 5978 K(x \ 1,y) != z | K(u / (x * u),y) = z. [para(11(a,1),5977(a,1,1,1))]. given #5187 (H,wt=18): 5460 K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. [para(5388(a,1),5239(a,1))]. given #5188 (H,wt=18): 5463 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(25(a,2),5385(a,1,2))]. given #5189 (H,wt=18): 5530 ((x * y) / x) * (y \ 1) != z | x \ T(x,y) = z. [para(5151(a,1),5136(a,1))]. given #5190 (H,wt=18): 5542 K(x,y) * (x * z) != z * u | T(T(x,y),z) = u. [para(5178(a,2),213(a,2)),flip(a)]. given #5191 (H,wt=18): 5580 K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). [para(4558(a,2),5273(a,2,2))]. given #5192 (H,wt=18): 5584 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4356(a,1),5278(a,1,1)),flip(a)]. given #5193 (H,wt=18): 5643 K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z. [para(5493(a,1),4552(a,1,1)),flip(a)]. given #5194 (H,wt=18): 5645 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5568(a,1),23(a,1,1)),flip(a)]. given #5195 (H,wt=18): 5662 x * T(x \ y,z) != u * y | K(y / x,z) = u. [para(5139(a,1),43(a,1))]. given #5196 (H,wt=18): 5722 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(454(a,1),5711(a,1,2))]. given #5197 (H,wt=18): 5740 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(5304(a,1),225(a,1,2))]. given #5198 (H,wt=18): 5744 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(5334(a,1),4594(a,1))]. given #5199 (H,wt=18): 5748 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2712(a,1),5356(a,1,2))]. given #5200 (H,wt=18): 5763 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5516(a,2),3161(a,1))]. given #5201 (H,wt=18): 5765 K(x,y) * (x * z) != u * (K(x,y) * z) | x = u. [para(5539(a,2),43(a,1))]. given #5202 (H,wt=18): 5786 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5762(a,1),42(a,1))]. given #5203 (H,wt=18): 5798 ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. [para(4430(a,2),5543(a,1))]. given #5204 (H,wt=18): 5799 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(5111(a,2),5543(a,1,2))]. given #5205 (H,wt=18): 5805 (x \ T(x,y)) * z != u | T(x,y) * (x \ z) = u. [para(5111(a,1),5610(a,1,1))]. given #5206 (H,wt=18): 5856 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(273,a,4562,a,b,5854,a)]. given #5207 (H,wt=18): 5973 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [hyper(278,a,5414,a),flip(a)]. given #5208 (H,wt=18): 5974 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(70(a,1),5424(a,1,2))]. given #5209 (H,wt=18): 5979 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(273,a,27,a,b,5645,a),flip(a)]. given #5210 (H,wt=18): 5984 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5626(a,2),5979(a,1,1,1,2))]. given #5211 (H,wt=19): 5070 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(273,a,3465,a(flip),b,5063,a)]. given #5212 (H,wt=17): 5985 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4477(a,1),5070(a,1,2))]. given #5213 (H,wt=17): 5986 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [hyper(171,a,5985,a(flip))]. given #5214 (H,wt=19): 5218 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(5134(a,1),414(a,1,2,1,1)),flip(a)]. given #5215 (H,wt=19): 5244 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(5163(a,2),1065(a,1,2)),flip(a)]. given #5216 (H,wt=19): 5251 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(116,a,5173,a,b,1365,a),flip(a)]. given #5217 (H,wt=19): 5306 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(115,a,5135,a,b,937,a)]. given #5218 (H,wt=19): 5330 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5135(a,1),1600(a,2,1,2))]. given #5219 (H,wt=19): 5351 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(3109(a,1),5174(a,1,1,2))]. given #5220 (H,wt=19): 5432 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(273,a,3215,a,b,5388,a),flip(a)]. given #5221 (H,wt=19): 5468 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(1011,a,5112,a)]. given #5222 (H,wt=17): 5991 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(108(a,1),5468(a,1,2))]. given #5223 (H,wt=19): 5469 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(62,a,2355,a(flip),b,5112,a)]. given #5224 (H,wt=17): 5994 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5112(a,1),5469(a,1,1))]. given #5225 (H,wt=14): 5996 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(62,a,4562,a(flip),b,5994,a),flip(a)]. given #5226 (H,wt=17): 5995 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(5156(a,2),5469(a,1,1)),flip(a)]. given #5227 (H,wt=17): 5999 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3109(a,1),5994(a,1,1)),flip(a)]. given #5228 (H,wt=19): 5472 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(115,a,5112,a(flip),b,809,a(flip))]. given #5229 (H,wt=19): 5473 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(5112(a,1),669(a,2,2))]. given #5230 (H,wt=19): 5474 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5112(a,1),835(a,2,2))]. given #5231 (H,wt=19): 5475 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5112(a,1),1049(a,1,1))]. given #5232 (H,wt=19): 5479 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5112(a,1),1427(a,2,1))]. given #5233 (H,wt=19): 5480 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5112(a,1),1526(a,2,1))]. given #5234 (H,wt=19): 5503 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(273,a,3153,a,b,5138,a),flip(a)]. given #5235 (H,wt=19): 5509 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(62,a,5052,a(flip),b,5138,a)]. given #5236 (H,wt=19): 5520 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(116,a,4800,a(flip),b,5141,a(flip)),flip(a)]. given #5237 (H,wt=19): 5548 K(x,y) * (K(z,x) * u) = T(x,y) * (T(x,z) \ u). [para(5141(a,1),5178(a,1,2))]. given #5238 (H,wt=19): 5549 T(x,y * x) \ ((y * x) * K(x,y * x)) = T(y,x). [hyper(273,a,22,a,b,5180,a),flip(a)]. given #5239 (H,wt=19): 5550 T(T(x,y),z) \ (y * K(T(x,z),y)) = T(x,z) \ y. [para(23(a,1),5180(a,1,1))]. given #5240 (H,wt=19): 5559 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(5197(a,1),5012(a,1,1)),flip(a)]. given #5241 (H,wt=19): 5574 T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). [para(5222(a,1),209(a,1,2,1)),flip(a)]. given #5242 (H,wt=19): 5581 ((x * (1 / y)) / x) \ 1 = (1 / y) \ K(y \ 1,x). [hyper(115,a,3107,a(flip),b,5277,a(flip)),flip(a)]. given #5243 (H,wt=19): 5588 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [para(4475(a,1),5291(a,1,2))]. given #5244 (H,wt=19): 5597 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3981,a,5407,a)]. given #5245 (H,wt=19): 5599 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4892(a,2),5407(a,1,2))]. given #5246 (H,wt=19): 5602 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(62,a,5198,a,b,5408,a)]. given #5247 (H,wt=19): 5607 K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). [para(5134(a,1),5485(a,1,2,2))]. given #5248 (H,wt=15): 6014 1 / (x * K(y,x)) = K(y,x) \ (1 / x). [para(5361(a,1),5607(a,1,1)),flip(a)]. given #5249 (H,wt=13): 6015 K(x,y) \ (1 / y) = K(y,x) / y. [hyper(5635,a,6014,a),flip(a)]. given #5250 (H,wt=17): 6016 K(x \ 1,y) / (x \ 1) = K(y,x \ 1) \ x. [para(74(a,1),6015(a,1,2)),flip(a)]. given #5251 (H,wt=19): 5660 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5278(a,1),5657(a,1,1,2)),flip(a)]. given #5252 (H,wt=19): 5665 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(4079(a,1),5144(a,1,2,1))]. given #5253 (H,wt=15): 6017 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(5452,a,5665,a),flip(a)]. given #5254 (H,wt=15): 6019 K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). [para(74(a,1),6017(a,1,1)),flip(a)]. given #5255 (H,wt=17): 6020 K(T(x \ y,x),T(y,z)) = K(x \ y,T(y,z)). [para(4215(a,2),6019(a,1,1))]. given #5256 (H,wt=18): 6018 K(x / y,T(x,z)) != u | K(y \ x,T(x,z)) = u. [para(5665(a,1),5452(a,1))]. given #5257 (H,wt=19): 5676 K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). [para(3855(a,1),5666(a,1,1))]. given #5258 (H,wt=19): 5688 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(3846(a,1),5673(a,1,1))]. given #5259 (H,wt=19): 5689 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4865(a,1),5673(a,1,1))]. given #5260 (H,wt=19): 5690 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(4882(a,1),5673(a,1,1))]. given #5261 (H,wt=19): 5693 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(62,a,2212,a(flip),b,5153,a)]. given #5262 (H,wt=19): 5694 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(62,a,2114,a(flip),b,5153,a)]. given #5263 (H,wt=15): 6024 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5153(a,1),5694(a,1,1)),flip(a)]. given #5264 (H,wt=15): 6025 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(77(a,1),6024(a,2,1,2))]. given #5265 (H,wt=12): 6034 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6025(a,1),3173(a,1,2,1))]. given #5266 (H,wt=15): 6029 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3635(a,1),6024(a,2,1))]. given #5267 (H,wt=15): 6032 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(5873,a,6025,a)]. given #5268 (H,wt=15): 6033 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2933(a,1),6025(a,1,2))]. given #5269 (H,wt=17): 6026 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(6024(a,2),108(a,1,2))]. given #5270 (H,wt=17): 6030 x * T(K(x,y \ 1),z) = T(x,T(y,z) \ 1). [para(6024(a,1),5163(a,2,2)),flip(a)]. given #5271 (H,wt=18): 6028 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(3169(a,1),6024(a,1,2,1)),flip(a)]. given #5272 (H,wt=19): 5698 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5153(a,1),1691(a,1,2))]. given #5273 (H,wt=19): 5720 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4854(a,1),5710(a,1,2)),flip(a)]. given #5274 (H,wt=19): 5721 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(4975(a,1),5710(a,1,2))]. given #5275 (H,wt=19): 5725 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4865(a,1),5711(a,1,2))]. given #5276 (H,wt=19): 5726 K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). [para(4867(a,1),5711(a,1,2))]. given #5277 (H,wt=19): 5736 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(5213(a,2),4073(a,2,2))]. given #5278 (H,wt=19): 5770 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1196(a,1),5664(a,1,2))]. given #5279 (H,wt=19): 5776 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5774(a,1),5163(a,2,2)),flip(a)]. given #5280 (H,wt=19): 5783 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(5695(a,2),5366(a,2,2))]. given #5281 (H,wt=19): 5797 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5644(a,1),5499(a,1,2))]. given #5282 (H,wt=19): 5817 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [para(5207(a,2),5142(a,1,2))]. given #5283 (H,wt=19): 5866 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5858(a,1),5204(a,1,1))]. given #5284 (H,wt=19): 5871 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(5862(a,1),5194(a,1,2))]. given #5285 (H,wt=19): 5883 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(888,a,5476,a)]. given #5286 (H,wt=19): 5884 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(672,a,5476,a),flip(a)]. given #5287 (H,wt=19): 5889 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(273,a,5476,a(flip),b,5477,a),flip(a)]. given #5288 (H,wt=19): 5891 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(9(a,1),5477(a,2,2,1))]. given #5289 (H,wt=19): 5906 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5178(a,1),5535(a,1,2))]. given #5290 (H,wt=19): 5915 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5571(a,1),5071(a,1,1))]. given #5291 (H,wt=19): 5921 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(3055(a,2),5653(a,1,2))]. given #5292 (H,wt=19): 5923 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(2773(a,1),5678(a,1,1,2))]. given #5293 (H,wt=19): 5924 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(3056(a,1),5678(a,1,1,2))]. given #5294 (H,wt=19): 5927 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(2746(a,1),5683(a,1,1,1)),flip(a)]. given #5295 (H,wt=19): 5931 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(3052(a,1),5724(a,1,2,1))]. given #5296 (H,wt=19): 5933 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(3047(a,1),5728(a,1,2,2))]. given #5297 (H,wt=19): 5936 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(5063(a,2),5735(a,1,2,1))]. given #5298 (H,wt=19): 5951 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(1646(a,1),5793(a,1,1)),flip(a)]. given #5299 (H,wt=19): 5954 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [para(11(a,1),5838(a,1,2,1,1,1))]. given #5300 (H,wt=19): 5955 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5850(a,1),260(a,1,2)),flip(a)]. given #5301 (H,wt=19): 5962 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5907(a,1),5083(a,2,2))]. given #5302 (H,wt=19): 5980 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(5740,a,1692,a),flip(a)]. given #5303 (H,wt=19): 6001 K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5995(a,1),5368(a,1,1)),flip(a)]. given #5304 (H,wt=19): 6011 T(x,x * y) \ ((y * x) * K(x,y * x)) = T(y,x). [para(4300(a,1),5549(a,1,1))]. given #5305 (H,wt=17): 6047 T(x,x * y) \ ((x * (y * x)) / x) = T(y,x). [para(5135(a,2),6011(a,1,2))]. given #5306 (H,wt=19): 6012 T(T(x,y),z) * (T(x,z) \ y) = y * K(T(x,z),y). [hyper(131,a,5550,a)]. given #5307 (H,wt=19): 6013 (K(x,y \ 1) / y) \ 1 = (1 / y) \ K(y \ 1,x). [para(5695(a,2),5581(a,1,1))]. given #5308 (H,wt=19): 6022 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(129,a,5693,a)]. given #5309 (H,wt=19): 6035 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(110(a,1),6026(a,1,2,2,1)),flip(a)]. given #5310 (H,wt=19): 6036 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(74(a,1),5720(a,1,2,2,1)),flip(a)]. given #5311 (H,wt=19): 6039 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(131,a,5883,a)]. given #5312 (H,wt=19): 6043 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(10(a,1),5924(a,2,1,2))]. given #5313 (H,wt=20): 5184 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4391(a,1),5111(a,2,2)),flip(a)]. given #5314 (H,wt=20): 5259 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5173(a,2),506(a,1,1))]. given #5315 (H,wt=20): 5316 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5135(a,2),467(a,1,2))]. given #5316 (H,wt=20): 5324 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5135(a,1),760(a,1,1))]. given #5317 (H,wt=20): 5348 (x * T(y,z)) \ (x * K(y,z)) = L(y \ 1,T(y,z),x). [para(5158(a,2),18(a,2,2,2)),flip(a)]. given #5318 (H,wt=20): 5416 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5384(a,1),96(a,1,1))]. given #5319 (H,wt=20): 5428 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5387(a,1),96(a,2,2))]. given #5320 (H,wt=20): 5439 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5388(a,1),256(a,1,1))]. given #5321 (H,wt=18): 6056 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5439(a,1),4569(a,1))]. given #5322 (H,wt=19): 6055 (T(x,y) * K(z,x)) \ u = K(x,z) * (T(x,y) \ u). [hyper(4602,a,5439,a),flip(a)]. given #5323 (H,wt=18): 6057 K(x,x * y) * (T(x,y) \ z) = R(x,y,x) \ z. [para(5644(a,1),6055(a,1,1)),flip(a)]. given #5324 (H,wt=18): 6058 (R(x,y,x) \ z) / (T(x,y) \ z) = K(x,x * y). [hyper(128,a,6057,a)]. given #5325 (H,wt=20): 5447 (1 / (1 / x)) / K(y,x) != z | T(1 / (1 / x),y) = z. [para(3638(a,1),5123(a,1,2))]. given #5326 (H,wt=20): 5546 T(x,y) * (x \ z) != u * w | u \ (K(x,y) * z) = w. [para(5178(a,1),554(a,1))]. given #5327 (H,wt=20): 5640 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(2746(a,1),5437(a,1,2))]. given #5328 (H,wt=20): 5663 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(5139(a,1),213(a,2)),flip(a)]. given #5329 (H,wt=20): 5702 (1 / x) * T((1 / x) \ 1,y) != z | x \ T(x,y) = z. [para(5156(a,1),5136(a,1))]. given #5330 (H,wt=20): 5732 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(34,a,1416,a,b,5212,a),flip(a)]. given #5331 (H,wt=20): 5738 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5213(a,2),5211(a,1))]. given #5332 (H,wt=20): 5757 L(T(x,y),z,K(z,u)) = T(y,w) \ (K(y,w) * (x * y)). [para(5491(a,2),4166(a,2,2))]. given #5333 (H,wt=20): 5785 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2815(a,2),5719(a,1,2,1))]. given #5334 (H,wt=20): 5788 x * T(x \ 1,y) != z * u | z \ K(x \ 1,y) = u. [para(4197(a,1),5190(a,1))]. given #5335 (H,wt=20): 5789 x \ ((x \ 1) \ 1) != y * z | y \ K(x,1 / x) = z. [para(1791(a,1),5241(a,1,2))]. given #5336 (H,wt=20): 5795 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(5516(a,2),5496(a,1))]. given #5337 (H,wt=20): 5803 x * (y * K(x,z)) != u | T(x,z) * T(y,K(x,z)) = u. [para(108(a,1),5609(a,1,2))]. given #5338 (H,wt=20): 5806 ((x * y) / x) \ (y * z) != u | T(y,x) * (y \ z) = u. [para(5508(a,2),5610(a,1))]. given #5339 (H,wt=20): 5807 K(x,y) * T(T(y,x),z) != u | y * K(T(y,x),z) = u. [para(5163(a,2),5619(a,1,2))]. given #5340 (H,wt=20): 5815 x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. [para(5083(a,2),126(a,1,2)),flip(b)]. given #5341 (H,wt=20): 5819 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(34,a,5174,a,b,5214,a)]. given #5342 (H,wt=14): 6060 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(33,a,5022,a(flip),b,5819,a),flip(a)]. given #5343 (H,wt=14): 6061 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(33,a,5012,a(flip),b,5819,a),flip(a)]. given #5344 (H,wt=20): 5822 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(34,a,5174,a,b,5215,a)]. given #5345 (H,wt=20): 5829 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(116,a,5320,a,b,5268,a(flip))]. given #5346 (H,wt=20): 5830 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5320(a,2),5105(a,2,1)),flip(a)]. given #5347 (H,wt=20): 5831 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5320(a,2),5295(a,2,2)),flip(a)]. given #5348 (H,wt=20): 5833 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(115,a,5321,a,b,5135,a(flip))]. given #5349 (H,wt=20): 5835 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5321(a,2),5105(a,2,1)),flip(a)]. given #5350 (H,wt=20): 5836 (x \ y) * T(x,y) != z * x | x \ (y * K(x,y)) = z. [para(5335(a,1),43(a,1))]. given #5351 (H,wt=20): 5861 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(105(a,2),5854(a,1,2,1))]. given #5352 (H,wt=20): 5863 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(5857(a,1),1836(a,1))]. given #5353 (H,wt=20): 5865 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(62,a,4562,a,b,5858,a)]. given #5354 (H,wt=20): 5875 x \ T(x,y / (x * y)) != z | K(x,u / (x * u)) = z. [para(2549(a,2),5872(a,1))]. given #5355 (H,wt=20): 5876 x * K((x \ y) \ 1,z) != u | y * T(y \ x,z) = u. [para(5471(a,1),225(a,1,2))]. given #5356 (H,wt=20): 5888 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(5476(a,2),42(a,1))]. given #5357 (H,wt=20): 5913 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5571(a,1),288(a,1,2))]. given #5358 (H,wt=20): 5935 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5735(a,1),225(a,1,2))]. given #5359 (H,wt=20): 5950 T(x,y) * z != K(y,u) * (x * y) | T(T(y,x),u) = z. [para(5756(a,1),42(a,1)),flip(a)]. given #5360 (H,wt=20): 5956 K(x \ y,x) * ((x \ y) \ z) != u | (y / x) \ z = u. [para(5898(a,1),5437(a,1,2))]. given #5361 (H,wt=20): 5961 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5907(a,1),5437(a,1,2))]. given #5362 (H,wt=20): 5982 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5748(a,1),5784(a,1,1))]. given #5363 (H,wt=16): 6077 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(11(a,1),5982(a,2,2))]. given #5364 (H,wt=12): 6078 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5301,a,6077,a),flip(a)]. given #5365 (H,wt=20): 5987 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(5984(a,1),5218(a,1,1))]. given #5366 (H,wt=16): 6079 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(587,a,5987,a)]. given #5367 (H,wt=20): 6027 x * K(y,T(z,x) \ 1) != u * x | K(y,z \ 1) = u. [para(6024(a,2),214(a,1,2))]. given #5368 (H,wt=20): 6031 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(6024(a,1),5167(a,1,2))]. given #5369 (H,wt=20): 6075 ((x \ 1) \ y) * K(x \ 1,x) != z | (1 / x) \ y = z. [para(2988(a,1),5956(a,1))]. given #5370 (H,wt=20): 6076 (x \ y) \ (K(x \ y,x) * z) != u | (y / x) \ z = u. [para(5513(a,2),5956(a,1))]. given #5371 (H,wt=21): 5080 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(4222(a,2),5063(a,1,2)),flip(a)]. given #5372 (H,wt=19): 6080 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(5935,a,5080,a)]. given #5373 (H,wt=17): 6081 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(4687(a,1),6080(a,1,1,2))]. given #5374 (H,wt=15): 6082 T(x / (x / y),x) = x / (T(x,y) / y). [para(5063(a,2),6081(a,1,1))]. given #5375 (H,wt=15): 6083 x / (x / T(y,x)) = T(x / (x / y),x). [para(4222(a,1),6082(a,2,2)),flip(a)]. given #5376 (H,wt=15): 6084 T(x / (x / y),x) \ x = x / T(y,x). [hyper(171,a,6083,a)]. given #5377 (H,wt=14): 6086 L(x,x \ y,x) \ y = y / T(x,y). [para(4391(a,1),6084(a,1,1))]. given #5378 (H,wt=17): 6085 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [para(6083(a,2),4395(a,1,2))]. given #5379 (H,wt=19): 6087 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [hyper(273,a,4317,a,b,6085,a)]. given #5380 (H,wt=15): 6088 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(4551,a,6087,a)]. given #5381 (H,wt=18): 6089 (x \ T(y,x)) * T(x,y) != z * x | x \ y = z. [para(6088(a,2),43(a,1))]. given #5382 (H,wt=21): 5095 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5087(a,1),1731(a,2,2))]. given #5383 (H,wt=21): 5170 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(5111(a,2),1057(a,1,1))]. given #5384 (H,wt=21): 5224 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(5134(a,1),4675(a,1,3)),flip(a)]. given #5385 (H,wt=21): 5261 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5173(a,2),453(a,1,2,2))]. given #5386 (H,wt=21): 5262 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5173(a,2),478(a,2,2))]. given #5387 (H,wt=21): 5285 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [para(2305(a,1),5114(a,1,1))]. given #5388 (H,wt=19): 6091 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(273,a,2318,a(flip),b,5285,a),flip(a)]. given #5389 (H,wt=21): 5308 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(62,a,4546,a(flip),b,5135,a),flip(a)]. given #5390 (H,wt=21): 5394 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5370(a,1),3681(a,1,2,2))]. given #5391 (H,wt=21): 5420 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(33,a,642,a,b,5387,a),flip(a)]. given #5392 (H,wt=21): 5435 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(62,a,3801,a(flip),b,5388,a),flip(a)]. given #5393 (H,wt=21): 5441 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5388(a,1),545(a,1,2))]. given #5394 (H,wt=21): 5450 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(25(a,2),5189(a,1,1))]. given #5395 (H,wt=21): 5453 L(x,y,z) / L(T(x,u),y,z) != w | K(u,L(x,y,z)) = w. [para(25(a,2),5202(a,1,2))]. given #5396 (H,wt=21): 5455 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(25(a,2),5239(a,1,2))]. given #5397 (H,wt=21): 5481 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(5112(a,1),1637(a,2,2))]. given #5398 (H,wt=19): 6093 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5112(a,1),5481(a,1,1,2))]. given #5399 (H,wt=19): 6096 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(122,a,6093,a)]. given #5400 (H,wt=19): 6097 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(116,a,142,a(flip),b,6093,a)]. given #5401 (H,wt=17): 6105 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(5118(a,1),6097(a,1,1)),flip(a)]. given #5402 (H,wt=17): 6106 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(122,a,6105,a)]. given #5403 (H,wt=17): 6107 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(62,a,3396,a,b,6106,a)]. given #5404 (H,wt=17): 6108 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(11(a,1),6107(a,1,2,2))]. given #5405 (H,wt=17): 6109 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(62,a,5713,a(flip),b,6108,a)]. given #5406 (H,wt=15): 6110 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(62,a,4483,a(flip),b,6109,a),flip(a)]. given #5407 (H,wt=19): 6111 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(6109(a,1),5408(a,1,2)),flip(a)]. given #5408 (H,wt=19): 6112 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(6110(a,1),5474(a,2,2))]. given #5409 (H,wt=19): 6113 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(6110(a,2),5955(a,2,2))]. given #5410 (H,wt=19): 6114 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [hyper(4973,a,6111,a)]. given #5411 (H,wt=19): 6115 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(62,a,3081,a(flip),b,6111,a),flip(a)]. given #5412 (H,wt=15): 6116 x * K(y,x * (y \ 1)) = y * (x / y). [para(3109(a,1),6115(a,1,2))]. given #5413 (H,wt=13): 6117 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(33,a,5408,a,b,6116,a),flip(a)]. given #5414 (H,wt=13): 6118 K(x,y * (1 / x)) = K(x,x \ y). [hyper(62,a,5708,a,b,6117,a)]. given #5415 (H,wt=15): 6119 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6118(a,1),5370(a,1,2)),flip(a)]. given #5416 (H,wt=13): 6120 K(x * (1 / y),y) = K(y \ x,y). [hyper(273,a,5370,a(flip),b,6119,a),flip(a)]. given #5417 (H,wt=13): 6123 K(x * (y \ 1),y) = K(y \ x,y). [hyper(62,a,5671,a(flip),b,6120,a)]. given #5418 (H,wt=13): 6126 K(x \ (y / (x \ 1)),x) = K(y,x). [para(12(a,1),6123(a,1,1)),flip(a)]. given #5419 (H,wt=15): 6121 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(273,a,4474,a,b,6120,a)]. given #5420 (H,wt=15): 6122 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [hyper(273,a,4472,a(flip),b,6120,a),flip(a)]. given #5421 (H,wt=15): 6127 x * K(x * (y \ 1),y) = (y \ x) * y. [para(6123(a,2),260(a,1,2))]. given #5422 (H,wt=15): 6129 K(T(x,1 / y) / y,y) = K(x / y,y). [para(1656(a,1),6122(a,1,1))]. given #5423 (H,wt=16): 6125 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(62,a,5402,a(flip),b,6123,a)]. given #5424 (H,wt=12): 6133 K(R(x,y,y \ 1),y) = K(x,y). [hyper(273,a,621,a(flip),b,6125,a),flip(a)]. given #5425 (H,wt=14): 6134 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [hyper(5276,a,6133,a),flip(a)]. given #5426 (H,wt=12): 6136 T(x,R(y,x,x \ 1)) = T(x,y). [hyper(5121,a,6134,a),flip(a)]. given #5427 (H,wt=14): 6138 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(115,a,6136,a,b,5163,a(flip)),flip(a)]. given #5428 (H,wt=12): 6139 K(x,R(y,x,x \ 1)) = K(x,y). [hyper(273,a,5111,a,b,6138,a)]. given #5429 (H,wt=17): 6124 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(74(a,1),6120(a,1,1,2)),flip(a)]. given #5430 (H,wt=15): 6141 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(62,a,4477,a(flip),b,6124,a),flip(a)]. given #5431 (H,wt=17): 6142 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(6141(a,1),5222(a,1,1,2))]. given #5432 (H,wt=18): 6137 K(x,y) = ((y * x) * (y \ 1)) \ R(x,y,y \ 1). [hyper(273,a,3925,a,b,6134,a),flip(a)]. given #5433 (H,wt=18): 6140 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(273,a,3908,a,b,6138,a),flip(a)]. given #5434 (H,wt=19): 6128 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(273,a,5669,a(flip),b,6121,a),flip(a)]. given #5435 (H,wt=15): 6144 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(62,a,5679,a(flip),b,6128,a),flip(a)]. given #5436 (H,wt=19): 6130 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(77(a,1),6127(a,1,2,1,2)),flip(a)]. given #5437 (H,wt=19): 6131 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(5668(a,1),6127(a,1,2)),flip(a)]. given #5438 (H,wt=19): 6143 (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). [para(6142(a,1),5574(a,1,1)),flip(a)]. given #5439 (H,wt=15): 6146 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(213,a,6143,a),flip(a)]. given #5440 (H,wt=20): 6102 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6096(a,1),1410(a,1,1)),flip(a)]. given #5441 (H,wt=21): 5482 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(5112(a,1),1685(a,1,2)),flip(a)]. given #5442 (H,wt=15): 6149 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(212,a,5479,a(flip),b,5482,a(flip)),flip(a)]. given #5443 (H,wt=15): 6150 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(77(a,1),6149(a,2,1,1))]. given #5444 (H,wt=15): 6151 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3109(a,1),6149(a,2,1))]. given #5445 (H,wt=15): 6152 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2933(a,1),6150(a,1,1))]. given #5446 (H,wt=21): 5524 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(5141(a,1),4584(a,1,2)),flip(a)]. given #5447 (H,wt=19): 6153 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5624(a,1),5524(a,1,2)),flip(a)]. given #5448 (H,wt=21): 5544 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(210(a,1),5178(a,1,2))]. given #5449 (H,wt=21): 5545 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(211(a,1),5178(a,1,2))]. given #5450 (H,wt=21): 5594 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [para(5386(a,1),5158(a,2,2)),flip(a)]. given #5451 (H,wt=21): 5632 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(3107(a,2),5591(a,2,1))]. given #5452 (H,wt=19): 6156 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3650(a,1),5632(a,1,2)),flip(a)]. given #5453 (H,wt=21): 5633 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(5591(a,1),5155(a,2,1)),flip(a)]. given #5454 (H,wt=21): 5658 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(62,a,621,a(flip),b,5656,a),flip(a)]. given #5455 (H,wt=21): 5684 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4876(a,2),5667(a,1,1))]. given #5456 (H,wt=21): 5687 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [para(5672(a,1),5163(a,2,2)),flip(a)]. given #5457 (H,wt=21): 5691 L(x * ((y * (x \ 1)) / y),z,u) = K(y,L(x,z,u) \ 1). [hyper(62,a,2503,a(flip),b,5153,a)]. given #5458 (H,wt=17): 6159 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5153(a,1),5691(a,1,1))]. given #5459 (H,wt=14): 6160 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(62,a,4840,a(flip),b,6159,a),flip(a)]. given #5460 (H,wt=17): 6161 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(77(a,1),6159(a,1,1,2)),flip(a)]. given #5461 (H,wt=11): 6165 R(x,L(K(x,y),z,u),w) = x. [para(6161(a,1),4412(a,1,2))]. given #5462 (H,wt=17): 6162 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3635(a,1),6159(a,1,1)),flip(a)]. given #5463 (H,wt=17): 6163 L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 1). [para(3637(a,2),6159(a,1,1))]. given #5464 (H,wt=17): 6169 L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). [hyper(273,a,3637,a,b,6163,a),flip(a)]. given #5465 (H,wt=18): 6167 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(352(a,1),6162(a,1,2,1)),flip(a)]. given #5466 (H,wt=21): 5692 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(62,a,2487,a(flip),b,5153,a)]. given #5467 (H,wt=17): 6172 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5153(a,1),5692(a,1,1))]. given #5468 (H,wt=14): 6174 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(62,a,4160,a(flip),b,6172,a),flip(a)]. given #5469 (H,wt=14): 6175 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(62,a,3828,a(flip),b,6172,a),flip(a)]. given #5470 (H,wt=17): 6176 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(77(a,1),6172(a,1,1,2)),flip(a)]. given #5471 (H,wt=15): 6180 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(62,a,6001,a(flip),b,6176,a)]. given #5472 (H,wt=17): 6177 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3635(a,1),6172(a,1,1)),flip(a)]. given #5473 (H,wt=19): 6178 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5854(a,1),6172(a,1,1)),flip(a)]. given #5474 (H,wt=18): 6183 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(62,a,5861,a(flip),b,6178,a),flip(a)]. given #5475 (H,wt=18): 6185 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(567(a,1),6178(a,1,2)),flip(a)]. given #5476 (H,wt=18): 6187 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(12(a,1),6183(a,2,2,2))]. given #5477 (H,wt=18): 6188 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(74(a,1),6183(a,1,1,2)),flip(a)]. given #5478 (H,wt=15): 6190 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(102(a,2),6188(a,1,2))]. given #5479 (H,wt=15): 6191 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(9(a,1),6190(a,1,2,2)),flip(a)]. given #5480 (H,wt=14): 6195 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(62,a,4160,a(flip),b,6191,a),flip(a)]. given #5481 (H,wt=18): 6189 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5551(a,1),6187(a,1,1))]. given #5482 (H,wt=15): 6198 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(62,a,4160,a(flip),b,6189,a),flip(a)]. given #5483 (H,wt=19): 6182 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6177(a,1),5163(a,2,2))]. given #5484 (H,wt=19): 6194 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(62,a,5994,a(flip),b,6191,a)]. given #5485 (H,wt=19): 6196 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6191(a,1),27(a,2,1))]. given #5486 (H,wt=20): 6179 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(31(a,1),6174(a,1,2,1))]. given #5487 (H,wt=20): 6184 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(489(a,1),6178(a,1,2,1)),flip(a)]. given #5488 (H,wt=20): 6186 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(12(a,1),6183(a,2,2,1))]. given #5489 (H,wt=20): 6202 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(74(a,1),6184(a,1,1,2)),flip(a)]. given #5490 (H,wt=21): 5697 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5153(a,1),1096(a,2,2))]. given #5491 (H,wt=19): 6204 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(10(a,1),5697(a,1,2,1))]. given #5492 (H,wt=21): 5699 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(5153(a,1),2108(a,2,1))]. given #5493 (H,wt=21): 5700 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(5156(a,2),1049(a,1,1))]. given #5494 (H,wt=21): 5701 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5156(a,2),1427(a,2,1))]. given #5495 (H,wt=21): 5727 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4883(a,1),5711(a,1,2))]. given #5496 (H,wt=21): 5730 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(5205(a,1),582(a,1,1,1))]. given #5497 (H,wt=21): 5743 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(5213(a,2),5333(a,1,1)),flip(a)]. given #5498 (H,wt=21): 5769 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(809(a,1),5664(a,1,2))]. given #5499 (H,wt=21): 5772 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2978(a,2),5668(a,1,1,2))]. given #5500 (H,wt=21): 5773 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3672(a,1),5668(a,1,1,2)),flip(a)]. given #5501 (H,wt=21): 5779 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5591(a,1),5675(a,1,1,1)),flip(a)]. given #5502 (H,wt=19): 6213 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5386(a,1),5779(a,1,1,1)),flip(a)]. given #5503 (H,wt=21): 5781 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(3671(a,2),5681(a,1,1,1))]. given #5504 (H,wt=21): 5812 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(5082(a,2),4403(a,1,1))]. given #5505 (H,wt=21): 5877 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1196(a,1),5471(a,1,2))]. given #5506 (H,wt=21): 5880 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1582(a,1),5471(a,1,2))]. given #5507 (H,wt=21): 5885 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(62,a,1582,a(flip),b,5476,a)]. given #5508 (H,wt=21): 5886 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(62,a,878,a(flip),b,5476,a),flip(a)]. given #5509 (H,wt=21): 5890 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(273,a,878,a(flip),b,5477,a),flip(a)]. given #5510 (H,wt=21): 5896 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(300,a,5535,a),flip(a)]. given #5511 (H,wt=15): 6218 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5815,a,5896,a(flip)),flip(a)]. given #5512 (H,wt=21): 5925 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3887(a,1),5678(a,1,1,2))]. given #5513 (H,wt=21): 5934 T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). [para(5309(a,2),5734(a,1,1,1))]. given #5514 (H,wt=21): 5937 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5626(a,1),5735(a,1,2,1,2))]. given #5515 (H,wt=15): 6220 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5913,a,5937,a),flip(a)]. given #5516 (H,wt=16): 6221 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6220(a,1),4487(a,1))]. given #5517 (H,wt=21): 5945 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(22(a,2),5751(a,1,2))]. given #5518 (H,wt=21): 5949 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(5752(a,2),3791(a,1,1)),flip(a)]. given #5519 (H,wt=21): 5953 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(37,a,1652,a(flip),b,5838,a),flip(a)]. given #5520 (H,wt=21): 5990 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(62,a,1593,a(flip),b,5468,a)]. given #5521 (H,wt=15): 6224 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(62,a,5529,a(flip),b,5990,a),flip(a)]. given #5522 (H,wt=21): 5992 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(822(a,1),5468(a,1,2))]. given #5523 (H,wt=21): 6003 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5999(a,1),5388(a,1,1)),flip(a)]. given #5524 (H,wt=17): 6227 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6177(a,1),6003(a,1,1)),flip(a)]. given #5525 (H,wt=17): 6229 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(503,a,6227,a)]. given #5526 (H,wt=17): 6230 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(328,a,6227,a)]. given #5527 (H,wt=18): 6228 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(573,a,6227,a)]. given #5528 (H,wt=18): 6231 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6227(a,2),125(a,1))]. given #5529 (H,wt=20): 6232 R(K(x,y),z,u) \ w != v5 | R(K(y,x),z,u) * w = v5. [para(6229(a,1),290(a,1,1))]. given #5530 (H,wt=20): 6235 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(5087(a,1),6228(a,1,2,1))]. given #5531 (H,wt=20): 6236 K(x,R(1 / y,z,u) \ 1) != w | R(K(x,y),z,u) = w. [para(6001(a,2),6231(a,1))]. given #5532 (H,wt=21): 6004 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(273,a,822,a(flip),b,5472,a)]. given #5533 (H,wt=21): 6005 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3431(a,1),5475(a,1,1))]. given #5534 (H,wt=19): 6239 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5640,a,6005,a),flip(a)]. given #5535 (H,wt=21): 6010 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5847,a,5520,a)]. given #5536 (H,wt=21): 6038 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4958(a,1),5770(a,1,2))]. given #5537 (H,wt=21): 6044 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3431(a,1),5954(a,1,2,1)),flip(a)]. given #5538 (H,wt=17): 6240 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(273,a,5954,a(flip),b,6044,a),flip(a)]. given #5539 (H,wt=21): 6049 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(74(a,1),6022(a,1,1,2,1))]. given #5540 (H,wt=21): 6069 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(193(a,2),5865(a,1,2))]. given #5541 (H,wt=21): 6092 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3818,a,6091,a)]. given #5542 (H,wt=21): 6095 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(212,a,6093,a,b,10,a),flip(a)]. given #5543 (H,wt=21): 6103 T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). [para(6097(a,1),110(a,1,1))]. given #5544 (H,wt=21): 6158 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(5921(a,1),5684(a,1,1,1)),flip(a)]. given #5545 (H,wt=21): 6164 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(6029(a,1),6159(a,1,1)),flip(a)]. given #5546 (H,wt=21): 6166 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(6165(a,1),104(a,1,1)),flip(a)]. given #5547 (H,wt=21): 6173 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(62,a,5994,a(flip),b,6172,a)]. given #5548 (H,wt=21): 6200 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1257(a,1),6198(a,1,2)),flip(a)]. given #5549 (H,wt=21): 6206 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [hyper(62,a,1098,a(flip),b,5699,a)]. given #5550 (H,wt=19): 6244 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(6049(a,2),6206(a,1,2))]. given #5551 (H,wt=19): 6245 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(9(a,1),6244(a,1,2,2)),flip(a)]. given #5552 (H,wt=21): 6209 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [hyper(116,a,5743,a(flip),b,4584,a)]. given #5553 (H,wt=21): 6215 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4962,a,5885,a),flip(a)]. given #5554 (H,wt=21): 6223 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(128,a,5953,a),flip(a)]. given #5555 (H,wt=21): 6238 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(131,a,6004,a)]. given #5556 (H,wt=17): 6251 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6224(a,1),6238(a,1,2,2))]. given #5557 (H,wt=21): 6243 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5048(a,1),6200(a,1,2,1))]. given #5558 (H,wt=22): 5216 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(5134(a,1),645(a,1,1)),flip(a)]. given #5559 (H,wt=22): 5263 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(5173(a,2),634(a,1,1))]. given #5560 (H,wt=22): 5267 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5173(a,2),1377(a,1,1))]. given #5561 (H,wt=22): 5281 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5110(a,2),95(a,1,2,2)),flip(a)]. given #5562 (H,wt=22): 5350 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(34,a,1416,a,b,5174,a),flip(a)]. given #5563 (H,wt=22): 5363 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(5253(a,1),4705(a,1,1))]. given #5564 (H,wt=20): 6254 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(5178(a,1),5363(a,1,2,2))]. given #5565 (H,wt=22): 5403 K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). [para(1410(a,1),5372(a,1,1)),flip(a)]. given #5566 (H,wt=22): 5467 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(5107(a,2),96(a,1,1)),flip(a)]. given #5567 (H,wt=22): 5515 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(18(a,2),5138(a,1,2)),flip(a)]. given #5568 (H,wt=22): 5573 (x * T(y,z)) / x != u * w | u \ T(y * K(x,y),z) = w. [para(5209(a,1),575(a,1,1,2))]. given #5569 (H,wt=22): 5614 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(25(a,2),5501(a,1,2,1))]. given #5570 (H,wt=22): 5618 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(27(a,2),5511(a,1,2,1))]. given #5571 (H,wt=22): 5621 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(25(a,2),5517(a,1,1))]. given #5572 (H,wt=22): 5629 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5560(a,1),167(a,1,2,1))]. given #5573 (H,wt=22): 5733 (x * T(y,z)) / x != u * w | T(y * K(x,y),z) / w = u. [para(5212(a,1),277(a,1,1))]. given #5574 (H,wt=22): 5747 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(116,a,1130,a(flip),b,5352,a),flip(a)]. given #5575 (H,wt=22): 5782 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5695(a,2),704(a,2,1)),flip(a)]. given #5576 (H,wt=22): 5792 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2363(a,2),5451(a,1))]. given #5577 (H,wt=20): 6258 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5112(a,1),5792(a,1,1))]. given #5578 (H,wt=17): 6259 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(6258,a,xx),flip(a)]. given #5579 (H,wt=17): 6260 K(L(1 / x,y,z) \ 1,u) = L(K(x,u),y,z). [para(77(a,1),6259(a,1,1,1)),flip(a)]. given #5580 (H,wt=16): 6270 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(6260(a,1),5232(a,1,2,2))]. given #5581 (H,wt=17): 6263 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(3107(a,2),6259(a,1,1))]. given #5582 (H,wt=17): 6264 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3109(a,1),6259(a,1,1)),flip(a)]. given #5583 (H,wt=17): 6269 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [hyper(5794,a,6260,a)]. given #5584 (H,wt=17): 6272 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(273,a,3107,a,b,6263,a),flip(a)]. given #5585 (H,wt=19): 6266 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5368(a,1),6259(a,1,1,1)),flip(a)]. given #5586 (H,wt=19): 6274 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6264(a,1),5368(a,1,1)),flip(a)]. given #5587 (H,wt=15): 6280 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(62,a,6162,a(flip),b,6274,a),flip(a)]. given #5588 (H,wt=15): 6281 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(176,a,6280,a)]. given #5589 (H,wt=18): 6282 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6280(a,1),331(a,1,2)),flip(b)]. given #5590 (H,wt=18): 6283 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6281(a,1),290(a,1,1))]. given #5591 (H,wt=19): 6278 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(6269(a,1),5370(a,1,2)),flip(a)]. given #5592 (H,wt=20): 6273 L(K(1 / x,y),z,u) != w | K(1 / L(x,z,u),y) = w. [para(6263(a,2),5794(a,1))]. given #5593 (H,wt=20): 6279 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(6061(a,1),6272(a,1,1)),flip(a)]. given #5594 (H,wt=20): 6284 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(6274(a,2),6283(a,1))]. given #5595 (H,wt=20): 6285 K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). [hyper(273,a,6272,a(flip),b,6279,a),flip(a)]. given #5596 (H,wt=21): 6267 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6150(a,1),6259(a,1,1)),flip(a)]. given #5597 (H,wt=21): 6268 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6151(a,1),6259(a,1,1)),flip(a)]. given #5598 (H,wt=21): 6275 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6264(a,1),5388(a,1,1)),flip(a)]. given #5599 (H,wt=17): 6287 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6162(a,1),6275(a,1,1)),flip(a)]. given #5600 (H,wt=17): 6288 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(328,a,6287,a)]. given #5601 (H,wt=20): 6290 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6288(a,1),288(a,1,2))]. given #5602 (H,wt=21): 6289 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(273,a,2232,a(flip),b,6287,a),flip(a)]. given #5603 (H,wt=22): 5800 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5506(a,1),5543(a,1,2))]. given #5604 (H,wt=22): 5818 K(x,y) * T((z * y) / z,x) != u | y * K(z,T(y,x)) = u. [para(5207(a,2),5619(a,1,2))]. given #5605 (H,wt=22): 5893 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5502(a,2),213(a,2)),flip(a)]. given #5606 (H,wt=22): 5942 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(5742(a,1),85(a,1,1)),flip(a)]. given #5607 (H,wt=15): 6291 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(273,a,203,a(flip),b,5942,a),flip(a)]. given #5608 (H,wt=15): 6292 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(5135(a,1),6291(a,1,1))]. given #5609 (H,wt=22): 5966 K(x * (y / x),L(x,z,u)) = L(x,z,u) / L(T(x,y),z,u). [para(4299(a,1),5145(a,1,2,1)),flip(a)]. given #5610 (H,wt=17): 6293 K(x * (y / x),L(x,z,u)) = K(y,L(x,z,u)). [hyper(273,a,5145,a(flip),b,5966,a),flip(a)]. given #5611 (H,wt=22): 5983 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(5973(a,1),27(a,2,1))]. given #5612 (H,wt=22): 5998 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(105(a,1),5994(a,2,1,1))]. given #5613 (H,wt=20): 6296 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5842(a,1),5998(a,1,1))]. given #5614 (H,wt=22): 6006 (x * y) \ (K(x \ 1,z) * y) != u | T((x * y) \ y,z) = u. [para(5479(a,1),288(a,1,2))]. given #5615 (H,wt=22): 6021 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2711(a,1),5689(a,1,1,1)),flip(a)]. given #5616 (H,wt=22): 6050 K(x,(y / z) \ 1) * z != z * u | K(x,(z \ y) \ 1) = u. [para(6035(a,2),42(a,1))]. given #5617 (H,wt=22): 6051 x * K(y,(x \ z) \ 1) != u * x | K(y,(z / x) \ 1) = u. [para(6035(a,1),43(a,1))]. given #5618 (H,wt=22): 6062 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6060(a,2),4755(a,1,2))]. given #5619 (H,wt=22): 6071 (x / y) * K(y \ 1,z) != u | x * T(x \ (x / y),z) = u. [para(77(a,1),5876(a,1,2,1,1))]. given #5620 (H,wt=22): 6072 x \ T(x * y,z) != u | (x \ 1) * T((x \ 1) \ y,z) = u. [para(5883(a,2),5876(a,1))]. given #5621 (H,wt=22): 6073 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(9(a,1),5888(a,1,2,1)),flip(a)]. given #5622 (H,wt=22): 6197 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6191(a,1),4590(a,1,1))]. given #5623 (H,wt=22): 6233 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(233,a,6228,a)]. given #5624 (H,wt=17): 6300 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(115,a,4554,a(flip),b,6233,a(flip)),flip(a)]. given #5625 (H,wt=17): 6301 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5762(a,1),6300(a,1,1))]. given #5626 (H,wt=22): 6256 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(6232,a,5629,a)]. given #5627 (H,wt=22): 6257 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3709(a,1),5782(a,1,1,1))]. given #5628 (H,wt=22): 6261 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(6259(a,1),94(a,1,2))]. given #5629 (H,wt=14): 6303 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(4758,a,6261,a),flip(a)]. given #5630 (H,wt=21): 6306 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(62,a,1133,a,b,6303,a)]. given #5631 (H,wt=21): 6308 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(131,a,6306,a)]. given #5632 (H,wt=22): 6297 R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). [para(9(a,1),6296(a,1,1,1))]. given #5633 (H,wt=22): 6302 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(273,a,4764,a(flip),b,6257,a),flip(a)]. given #5634 (H,wt=23): 5079 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(5063(a,1),591(a,1,1,1))]. given #5635 (H,wt=23): 5243 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(5163(a,2),903(a,2,2,1))]. given #5636 (H,wt=23): 5266 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(5173(a,2),1300(a,2,1,1))]. given #5637 (H,wt=19): 6313 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(5161(a,2),5266(a,1,2,1))]. given #5638 (H,wt=23): 5289 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5116(a,1),2029(a,1,2,1))]. given #5639 (H,wt=23): 5302 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(94(a,1),5132(a,1,2))]. given #5640 (H,wt=23): 5314 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(104(a,1),5135(a,1,1))]. given #5641 (H,wt=23): 5329 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(1430(a,1),5135(a,1,1))]. given #5642 (H,wt=23): 5338 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(865(a,1),5152(a,2,1)),flip(a)]. given #5643 (H,wt=23): 5353 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5174(a,1),4972(a,1,2)),flip(a)]. given #5644 (H,wt=19): 6318 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5351(a,1),5353(a,1,2)),flip(a)]. given #5645 (H,wt=23): 5364 K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [hyper(729,a,5268,a)]. given #5646 (H,wt=18): 6320 K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(6139(a,1),5364(a,1,1))]. given #5647 (H,wt=18): 6321 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [hyper(5427,a,6320,a)]. given #5648 (H,wt=23): 5380 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5368(a,1),1701(a,2,2,1))]. given #5649 (H,wt=23): 5393 (K(x,y) * z) * (K(y,x) * u) = K(x,y) * ((z / K(x,y)) * u). [para(5370(a,1),112(a,1,2,1))]. given #5650 (H,wt=23): 5523 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. [para(4247(a,1),5141(a,1,2,1))]. given #5651 (H,wt=23): 5630 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5583(a,1),209(a,1,2,1))]. given #5652 (H,wt=23): 5649 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5644(a,1),18(a,2,2,2)),flip(a)]. given #5653 (H,wt=23): 5661 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(116,a,808,a(flip),b,5139,a)]. given #5654 (H,wt=23): 5768 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [para(23(a,1),5562(a,1,2))]. given #5655 (H,wt=23): 5827 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(5290(a,1),3416(a,1,1))]. given #5656 (H,wt=23): 5832 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(5320(a,2),5365(a,1,1))]. given #5657 (H,wt=23): 5840 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [para(809(a,1),5470(a,1,1))]. given #5658 (H,wt=23): 5882 T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). [hyper(1524,a,5476,a),flip(a)]. given #5659 (H,wt=23): 5928 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4975(a,1),5683(a,1,1,1))]. given #5660 (H,wt=23): 5932 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4850(a,1),5724(a,1,2,1)),flip(a)]. given #5661 (H,wt=23): 5938 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5476(a,2),5735(a,1,2,1))]. given #5662 (H,wt=23): 5941 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5571(a,1),5737(a,1,1,1))]. given #5663 (H,wt=23): 5964 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4881(a,1),5930(a,1,2,1))]. given #5664 (H,wt=23): 5971 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5327(a,2),4354(a,1,1))]. given #5665 (H,wt=23): 6002 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5995(a,1),5994(a,1,1)),flip(a)]. given #5666 (H,wt=23): 6008 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(822(a,1),5480(a,1,2))]. given #5667 (H,wt=23): 6052 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5368(a,1),6039(a,1,2,2,1,1,2))]. given #5668 (H,wt=23): 6063 R(x,y,z) \ R(x * K(u,x),y,z) != w | K(u,R(x,y,z)) = w. [para(5822(a,1),288(a,1,2))]. given #5669 (H,wt=23): 6065 R(x,y,z) * K(u,R(x,y,z)) != w | R(x * K(u,x),y,z) = w. [para(5833(a,1),225(a,1,2))]. given #5670 (H,wt=23): 6090 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(5170(a,2),5480(a,1,2))]. given #5671 (H,wt=19): 6329 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3109(a,1),6090(a,2,1))]. given #5672 (H,wt=19): 6331 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(9(a,1),6329(a,1,2,2)),flip(a)]. given #5673 (H,wt=22): 6335 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6331(a,2),226(a,1,2))]. given #5674 (H,wt=20): 6337 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5609,a,6335,a),flip(a)]. given #5675 (H,wt=20): 6338 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5387(a,1),6337(a,1,1)),flip(a)]. given #5676 (H,wt=23): 6145 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(10(a,1),6131(a,2,2,1))]. given #5677 (H,wt=23): 6154 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(273,a,4368,a(flip),b,5544,a),flip(a)]. given #5678 (H,wt=23): 6155 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(273,a,4369,a(flip),b,5545,a),flip(a)]. given #5679 (H,wt=23): 6157 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3788(a,1),5684(a,1,1,1,2))]. given #5680 (H,wt=23): 6168 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(6162(a,1),6159(a,1,1)),flip(a)]. given #5681 (H,wt=23): 6193 K(x,R(y,K(y,z) * (y \ u),w)) = R(K(x,y),K(y,z) * u,w). [para(5513(a,1),6190(a,1,2,2))]. given #5682 (H,wt=23): 6207 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(5700(a,2),5480(a,1,2))]. given #5683 (H,wt=19): 6342 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(77(a,1),6207(a,2,1,1))]. given #5684 (H,wt=19): 6343 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(9(a,1),6342(a,1,2,2)),flip(a)]. given #5685 (H,wt=19): 6345 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(116,a,6343,a,b,xx)]. given #5686 (H,wt=23): 6214 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3899(a,1),5877(a,1,2)),flip(a)]. given #5687 (H,wt=21): 6349 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(273,a,5880,a(flip),b,6214,a),flip(a)]. given #5688 (H,wt=23): 6222 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(5949(a,1),5929(a,1,2,2))]. given #5689 (H,wt=23): 6225 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5476(a,1),5990(a,1,1))]. given #5690 (H,wt=23): 6226 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(77(a,1),5992(a,1,2,2,1,2)),flip(a)]. given #5691 (H,wt=23): 6241 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(116,a,6092,a(flip),b,2543,a)]. given #5692 (H,wt=23): 6242 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(273,a,4690,a(flip),b,6095,a),flip(a)]. given #5693 (H,wt=21): 6353 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2630(a,1),6242(a,1,2)),flip(a)]. given #5694 (H,wt=23): 6250 (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). [para(3635(a,1),6245(a,1,1)),flip(a)]. given #5695 (H,wt=19): 6354 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(3635(a,1),6250(a,1,2,1)),flip(a)]. given #5696 (H,wt=23): 6309 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(6308(a,1),2573(a,1,1))]. given #5697 (H,wt=23): 6312 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(5346(a,2),5243(a,1,2,1))]. given #5698 (H,wt=19): 6358 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(380,a,6312,a)]. given #5699 (H,wt=23): 6316 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1377,a,5314,a),flip(a)]. given #5700 (H,wt=22): 6359 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5401(a,1),6316(a,1,2)),flip(a)]. given #5701 (H,wt=20): 6360 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(273,a,5308,a(flip),b,6359,a),flip(a)]. given #5702 (H,wt=23): 6323 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5502(a,1),5661(a,1,1,2)),flip(a)]. given #5703 (H,wt=23): 6324 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(23(a,1),5768(a,1,1))]. given #5704 (H,wt=23): 6327 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5476(a,2),6052(a,1,2))]. given #5705 (H,wt=23): 6328 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5884(a,1),6052(a,1,2)),flip(a)]. given #5706 (H,wt=23): 6332 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(22(a,2),6329(a,1,2,2))]. given #5707 (H,wt=23): 6334 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(108(a,1),6331(a,2,2))]. given #5708 (H,wt=23): 6352 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [hyper(62,a,5689,a(flip),b,6226,a)]. given #5709 (H,wt=23): 6362 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(5444,a,6323,a)]. given #5710 (H,wt=21): 6368 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1062(a,1),6362(a,1,1,2))]. given #5711 (H,wt=21): 6369 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5423,a,6368,a),flip(a)]. given #5712 (H,wt=19): 6371 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(115,a,69,a(flip),b,6369,a),flip(a)]. given #5713 (H,wt=21): 6370 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5387(a,1),6368(a,1,2,2)),flip(a)]. given #5714 (H,wt=23): 6364 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(122,a,6327,a)]. given #5715 (H,wt=23): 6373 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6364(a,1),4916(a,1,1))]. given #5716 (H,wt=23): 6374 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(9(a,1),6373(a,1,1,2,1)),flip(a)]. given #5717 (H,wt=24): 5036 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [hyper(273,a,4926,a,b,5031,a)]. given #5718 (H,wt=24): 5234 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(116,a,5163,a,b,83,a)]. given #5719 (H,wt=24): 5322 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5135(a,2),85(a,1,2))]. given #5720 (H,wt=24): 5429 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5387(a,1),104(a,1,2))]. given #5721 (H,wt=24): 5442 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5388(a,1),314(a,1,1,3))]. given #5722 (H,wt=24): 5556 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = L(z,y,K(x,x \ y)). [para(5182(a,1),18(a,2,1)),flip(a)]. given #5723 (H,wt=24): 5566 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5199(a,1),20(a,2,2)),flip(a)]. given #5724 (H,wt=24): 5577 (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). [para(5269(a,1),18(a,2,2,2)),flip(a)]. given #5725 (H,wt=24): 5579 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5057(a,2),5272(a,1,2))]. given #5726 (H,wt=24): 5603 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5408(a,1),18(a,2,1)),flip(a)]. given #5727 (H,wt=24): 5628 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5560(a,1),94(a,1,1))]. given #5728 (H,wt=24): 5637 ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. [para(4356(a,2),5311(a,1,1))]. given #5729 (H,wt=10): 6378 K(L(x,y,x),y) = K(x,y). [hyper(5637,a,5307,a)]. given #5730 (H,wt=11): 6379 K(T(x,x * y),y) = K(x,y). [hyper(62,a,5399,a,b,6378,a)]. given #5731 (H,wt=24): 5731 L(x * K(y,x),z,u) * T(y,x) != w | T(y,x) * L(x,z,u) = w. [para(5205(a,1),788(a,1,1,1))]. given #5732 (H,wt=24): 5802 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3988(a,2),5604(a,1))]. given #5733 (H,wt=17): 6380 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5802,a,6131,a)]. given #5734 (H,wt=24): 5821 (x * L(y,z,u)) / x != w * v5 | L(y * K(x,y),z,u) / v5 = w. [para(5214(a,1),277(a,1,1))]. given #5735 (H,wt=24): 5823 (x * R(y,z,u)) / x != w * v5 | w \ R(y * K(x,y),z,u) = v5. [para(5215(a,1),530(a,1,1))]. given #5736 (H,wt=24): 5914 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(5571(a,1),206(a,1,2,2))]. given #5737 (H,wt=22): 6381 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(108(a,1),5914(a,1,2)),flip(a)]. given #5738 (H,wt=21): 6382 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(273,a,3228,a(flip),b,6381,a)]. given #5739 (H,wt=24): 5967 R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). [para(23(a,1),5146(a,1,2,1))]. given #5740 (H,wt=24): 5975 K(x \ 1,x) * (x \ y) != z * u | z \ (((x \ 1) \ 1) \ y) = u. [para(2746(a,1),5440(a,1,2))]. given #5741 (H,wt=24): 6007 (x * y) * T((x * y) \ y,z) != y * u | T(K(x \ 1,z),y) = u. [para(5479(a,2),213(a,2)),flip(a)]. given #5742 (H,wt=24): 6053 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5405(a,2),5416(a,1,2))]. given #5743 (H,wt=24): 6068 K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. [para(11(a,1),5863(a,1,2))]. given #5744 (H,wt=24): 6099 (x * y) * K(y \ 1,z) != y * u | T(x * K(y \ 1,z),y) = u. [para(6093(a,1),213(a,2)),flip(a)]. given #5745 (H,wt=24): 6104 T((x / y) * K(y \ 1,z),y) != u | y \ (x * K(y \ 1,z)) = u. [para(6097(a,1),383(a,1,1))]. given #5746 (H,wt=24): 6205 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5697(a,1),2123(a,1,1)),flip(a)]. given #5747 (H,wt=24): 6216 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(5885(a,2),288(a,1,2))]. given #5748 (H,wt=24): 6237 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(62,a,145,a(flip),b,6235,a),flip(a)]. given #5749 (H,wt=24): 6262 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1345(a,1),6259(a,1,1)),flip(a)]. given #5750 (H,wt=21): 6384 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(273,a,334,a(flip),b,6262,a),flip(a)]. given #5751 (H,wt=15): 6386 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1015(a,1),6384(a,1,2))]. given #5752 (H,wt=20): 6387 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(55,a,6386,a)]. given #5753 (H,wt=20): 6388 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(53,a,6387,a)]. given #5754 (H,wt=22): 6389 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1017(a,2),6388(a,1,1))]. given #5755 (H,wt=23): 6390 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6389(a,1),4185(a,1,2)),flip(a)]. given #5756 (H,wt=19): 6391 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(273,a,2469,a(flip),b,6390,a),flip(a)]. given #5757 (H,wt=17): 6392 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1017(a,1),6391(a,1,1))]. given #5758 (H,wt=24): 6361 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(10(a,1),6360(a,1,1,1)),flip(a)]. given #5759 (H,wt=20): 6393 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4304(a,1),6361(a,1,1)),flip(a)]. given #5760 (H,wt=18): 6394 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(273,a,4088,a(flip),b,6393,a),flip(a)]. given #5761 (H,wt=16): 6395 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(34,a,5335,a,b,6394,a),flip(a)]. given #5762 (H,wt=16): 6396 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(273,a,5417,a,b,6395,a),flip(a)]. given #5763 (H,wt=17): 6397 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4320(a,1),6396(a,1,2))]. given #5764 (H,wt=17): 6398 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(171,a,6397,a)]. given #5765 (H,wt=17): 6399 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5417(a,1),6398(a,1,1))]. given #5766 (H,wt=17): 6400 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5135(a,2),6399(a,1,1,2))]. given #5767 (H,wt=24): 6377 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5387(a,1),5603(a,1,2,2)),flip(a)]. given #5768 (H,wt=24): 6383 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5029(a,2),6205(a,1,2))]. given #5769 (H,wt=21): 6401 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(255,a,6383,a)]. given #5770 (H,wt=17): 6402 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3965(a,1),6401(a,1,2)),flip(a)]. given #5771 (H,wt=17): 6409 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3635(a,1),6402(a,1,1,2))]. given #5772 (H,wt=13): 6411 (x * K(y,z)) * y = x * T(y,z). [para(3127(a,1),6409(a,2,2))]. given #5773 (H,wt=8): 6412 R(x,K(y,z),y) = x. [hyper(5262,a,6411,a)]. given #5774 (H,wt=11): 6439 R(x,R(K(y,z),u,w),y) = x. [para(6176(a,1),6412(a,1,2))]. given #5775 (H,wt=13): 6417 (x * T(y,z)) / y = x * K(y,z). [hyper(128,a,6411,a)]. given #5776 (H,wt=13): 6418 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(122,a,6411,a)]. given #5777 (H,wt=8): 6444 L(x,K(x,y),z) = x. [hyper(5261,a,6418,a)]. given #5778 (H,wt=12): 6446 L(T(x,y),K(x,z),u) = T(x,y). [para(6444(a,1),25(a,2,1))]. given #5779 (H,wt=13): 6419 (1 / x) * K(x,y) = K(x,y) / x. [hyper(116,a,5155,a,b,6411,a),flip(a)]. given #5780 (H,wt=13): 6421 (x / T(y,z)) * K(y,z) = x / y. [hyper(116,a,12,a(flip),b,6411,a),flip(a)]. given #5781 (H,wt=13): 6424 (x / y) * T(y,z) = x * K(y,z). [hyper(34,a,1434,a,b,6411,a)]. given #5782 (H,wt=13): 6425 (x * y) * K(y,z) = x * T(y,z). [hyper(34,a,1430,a,b,6411,a),flip(a)]. given #5783 (H,wt=13): 6426 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(34,a,6088,a(flip),b,6411,a),flip(a)]. given #5784 (H,wt=13): 6456 (x * K(y,z)) / T(y,z) = x / y. [hyper(128,a,6424,a)]. given #5785 (H,wt=13): 6457 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(122,a,6424,a)]. given #5786 (H,wt=13): 6464 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(6073,a,6425,a)]. given #5787 (H,wt=13): 6468 (x * T(y,z)) / K(y,z) = x * y. [hyper(128,a,6425,a)]. given #5788 (H,wt=13): 6469 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(122,a,6425,a)]. given #5789 (H,wt=13): 6470 (x * y) / K(y,x) = T(x,y) * y. [hyper(116,a,4238,a(flip),b,6425,a)]. given #5790 (H,wt=13): 6471 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(115,a,12,a(flip),b,6425,a)]. given #5791 (H,wt=13): 6481 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(122,a,6426,a),flip(a)]. given #5792 (H,wt=13): 6485 K((x \ y) \ 1,z) = K(y \ x,z). [para(10(a,1),6464(a,1,1,1,1))]. given #5793 (H,wt=13): 6497 K((x * y) \ x,z) = K(y \ 1,z). [para(9(a,1),6485(a,1,1,1)),flip(a)]. given #5794 (H,wt=14): 6513 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(192(a,2),6497(a,1,1))]. given #5795 (H,wt=15): 6415 x * T(y * K(x,z),x) = y * T(x,z). [hyper(253,a,6411,a)]. given #5796 (H,wt=15): 6416 T(x * K(y,z),y) = y \ (x * T(y,z)). [hyper(212,a,6411,a,b,10,a)]. given #5797 (H,wt=15): 6423 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(34,a,1549,a,b,6411,a),flip(a)]. given #5798 (H,wt=15): 6435 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5129(a,1),6411(a,1,1))]. given #5799 (H,wt=15): 6445 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(62,a,6053,a(flip),b,6444,a)]. given #5800 (H,wt=15): 6455 x * T(x \ y,z) = y * K(x \ y,z). [hyper(525,a,6424,a)]. given #5801 (H,wt=13): 6523 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5893,a,6455,a),flip(a)]. given #5802 (H,wt=11): 6536 K((x \ y) \ y,y) = K(x,y). [hyper(273,a,3201,a(flip),b,6523,a),flip(a)]. given #5803 (H,wt=11): 6539 K(x / y,x) = K(y \ x,x). [para(77(a,1),6536(a,1,1,1)),flip(a)]. given #5804 (H,wt=13): 6524 T(K(x / y,z),x) = K(y \ x,z). [hyper(5663,a,6455,a)]. given #5805 (H,wt=13): 6541 K((x / y) \ 1,y) = K(x \ y,y). [hyper(5847,a,6539,a)]. given #5806 (H,wt=14): 6538 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(6523(a,2),180(a,1)),flip(b)]. given #5807 (H,wt=14): 6545 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(109(a,2),6538(a,1,1))]. given #5808 (H,wt=15): 6460 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(116,a,6424,a(flip),b,6411,a)]. given #5809 (H,wt=15): 6480 (x * y) * K(y,z) = x * (y * K(y,z)). [para(5163(a,1),6425(a,2,2))]. given #5810 (H,wt=8): 6547 R(x,y,K(y,z)) = x. [hyper(478,a,6480,a)]. given #5811 (H,wt=10): 6548 L(K(x,y),x,z) = K(x,y). [hyper(450,a,6480,a)]. given #5812 (H,wt=11): 6549 R(x,y,K(y,z)) != u | u = x. [para(6547(a,1),50(a,1)),flip(a)]. given #5813 (H,wt=13): 6554 L(K(x,y),x,z) = L(K(x,y),x,u). [hyper(273,a,6548,a,b,6548,a)]. given #5814 (H,wt=13): 6555 R(K(x,y),x,z) = L(K(x,y),x,u). [hyper(273,a,4160,a,b,6548,a)]. given #5815 (H,wt=13): 6562 L(K(x,y),x,z) != u | K(x,y) = u. [para(6554(a,1),3803(a,1)),flip(b)]. given #5816 (H,wt=13): 6563 R(K(x,y),x,z) != u | K(x,y) = u. [para(6555(a,2),3803(a,1)),flip(b)]. given #5817 (H,wt=15): 6498 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(22(a,2),6485(a,1,1,1))]. given #5818 (H,wt=15): 6502 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(6485(a,1),5368(a,1,1)),flip(a)]. given #5819 (H,wt=13): 6569 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(273,a,5368,a(flip),b,6502,a),flip(a)]. given #5820 (H,wt=13): 6571 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5873,a,6569,a)]. given #5821 (H,wt=13): 6574 K(x,((y * z) \ y) \ 1) = K(x,z). [para(9(a,1),6569(a,2,2))]. given #5822 (H,wt=13): 6577 K(x,y \ (y / z)) = K(x,z \ 1). [para(77(a,1),6569(a,1,2,1)),flip(a)]. given #5823 (H,wt=13): 6582 T(x \ y,K(z,y \ x)) = x \ y. [para(6569(a,1),2140(a,1,2))]. given #5824 (H,wt=13): 6589 K(x,1 / (y \ x)) = K(x,y / x). [hyper(273,a,5357,a,b,6571,a),flip(a)]. given #5825 (H,wt=13): 6591 K(x,y \ (y / z)) = K(x,1 / z). [para(77(a,1),6571(a,1,2,2)),flip(a)]. given #5826 (H,wt=15): 6519 (x * y) / (y * K(z,y)) = x * K(y,z). [hyper(176,a,6445,a)]. given #5827 (H,wt=15): 6520 x / (y * K(z,y)) = (x / y) * K(y,z). [para(6445(a,1),276(a,1,2))]. given #5828 (H,wt=15): 6525 K(x / y,z) * x = x * K(y \ x,z). [hyper(62,a,5139,a,b,6455,a)]. given #5829 (H,wt=15): 6544 K(((x * y) / x) \ 1,x) = K(y \ 1,x). [hyper(273,a,6497,a(flip),b,6541,a),flip(a)]. given #5830 (H,wt=15): 6567 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(62,a,6151,a(flip),b,6498,a),flip(a)]. given #5831 (H,wt=15): 6568 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(62,a,3429,a(flip),b,6498,a),flip(a)]. given #5832 (H,wt=15): 6594 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(273,a,5858,a,b,6577,a),flip(a)]. given #5833 (H,wt=15): 6598 (x * y) / ((z * y) / z) = x * K(y,z). [para(5135(a,2),6519(a,1,2))]. given #5834 (H,wt=15): 6600 x / ((y * z) / y) = (x / z) * K(z,y). [para(5135(a,2),6520(a,1,2))]. given #5835 (H,wt=15): 6606 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(62,a,5330,a(flip),b,6598,a)]. given #5836 (H,wt=15): 6607 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(62,a,1600,a(flip),b,6598,a)]. given #5837 (H,wt=15): 6612 (x * ((y * z) / y)) * K(z,y) = x * z. [para(11(a,1),6607(a,1,1)),flip(a)]. given #5838 (H,wt=16): 6427 T(x * y,x) * K(x,y) = R(x,y,x) * y. [hyper(34,a,4670,a(flip),b,6411,a),flip(a)]. given #5839 (H,wt=16): 6441 x / y != z * K(y,u) | z * T(y,u) = x. [para(6417(a,1),45(a,1)),flip(a)]. given #5840 (H,wt=16): 6442 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6417(a,1),222(a,1,1))]. given #5841 (H,wt=16): 6453 x / y != z * K(y,u) | x / T(y,u) = z. [para(6421(a,1),43(a,1))]. given #5842 (H,wt=16): 6474 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(6425(a,2),42(a,1))]. given #5843 (H,wt=16): 6475 x * T(y,z) != u * K(y,z) | x * y = u. [para(6425(a,1),43(a,1))]. given #5844 (H,wt=16): 6476 (x * y) \ (x * T(y,z)) != u | K(y,z) = u. [para(6425(a,1),288(a,1,2))]. given #5845 (H,wt=16): 6482 x * K(y,z) != y \ z | y \ T(z,y) = x. [para(6426(a,1),43(a,1)),flip(a)]. given #5846 (H,wt=16): 6487 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6468(a,1),222(a,1,1))]. given #5847 (H,wt=16): 6516 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(6415(a,1),252(a,1))]. given #5848 (H,wt=16): 6556 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6548(a,1),29(a,1,1)),flip(a)]. given #5849 (H,wt=16): 6570 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6502(a,2),5392(a,1))]. given #5850 (H,wt=16): 6618 x * K(y,z) != u | (x / y) * T(y,z) = u. [para(12(a,1),6487(a,1,1))]. given #5851 (H,wt=16): 6627 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3637(a,2),6570(a,1))]. given #5852 (H,wt=14): 6629 K(x,1 / y) != z | K(x,y \ 1) = z. [para(64(a,1),6627(a,1,2,2))]. given #5853 (H,wt=16): 6633 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5862(a,2),6629(a,1))]. given #5854 (H,wt=16): 6634 K(x,(y \ z) / z) != u | K(x,y \ 1) = u. [para(10(a,1),6633(a,1,2,2))]. given #5855 (H,wt=17): 6413 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(273,a,3210,a,b,6411,a),flip(a)]. given #5856 (H,wt=17): 6467 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(212,a,6425,a,b,10,a),flip(a)]. given #5857 (H,wt=15): 6636 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(62,a,5541,a(flip),b,6467,a),flip(a)]. given #5858 (H,wt=15): 6637 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(12(a,1),6636(a,1,1)),flip(a)]. given #5859 (H,wt=15): 6638 T(x / y,T(y,z)) = y \ T(x,K(y,z)). [hyper(122,a,6637,a),flip(a)]. given #5860 (H,wt=17): 6492 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(273,a,5677,a(flip),b,6485,a),flip(a)]. given #5861 (H,wt=17): 6503 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5388(a,1),6485(a,1,1,1))]. given #5862 (H,wt=17): 6505 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6485(a,1),5883(a,2,2))]. given #5863 (H,wt=17): 6506 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6485(a,1),6039(a,1,2,2))]. given #5864 (H,wt=17): 6543 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(62,a,3253,a(flip),b,6524,a)]. given #5865 (H,wt=17): 6584 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5388(a,1),6569(a,1,2,1))]. given #5866 (H,wt=17): 6585 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6569(a,1),5698(a,1,2))]. given #5867 (H,wt=17): 6586 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6569(a,1),6035(a,2,2))]. given #5868 (H,wt=15): 6646 K(x,y / z) * y = y * K(x,z \ y). [para(5854(a,1),6586(a,1,1))]. given #5869 (H,wt=13): 6647 T(K(x,y / z),y) = K(x,z \ y). [hyper(212,a,6646,a,b,xx)]. given #5870 (H,wt=13): 6650 K(x,(y \ z) \ z) = T(K(x,y),z). [para(74(a,1),6647(a,1,1,2)),flip(a)]. given #5871 (H,wt=13): 6655 K(x,T(y,y \ z)) = T(K(x,y),z). [para(109(a,2),6650(a,1,2))]. given #5872 (H,wt=13): 6656 T(K(x,y),z * y) = K(x,T(y,z)). [para(4245(a,2),6650(a,1,2)),flip(a)]. given #5873 (H,wt=13): 6657 T(K(x,y),y * z) = K(x,T(y,z)). [para(9(a,1),6655(a,1,2,2)),flip(a)]. given #5874 (H,wt=14): 6654 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(6650(a,2),180(a,1)),flip(b)]. given #5875 (H,wt=15): 6651 T(x,K(y,x / z)) = T(x,K(y,z \ x)). [para(6647(a,1),4209(a,1,2)),flip(a)]. given #5876 (H,wt=15): 6653 K(x,K(y,x / z)) = K(x,K(y,z \ x)). [para(6647(a,1),5354(a,1,2)),flip(a)]. given #5877 (H,wt=15): 6658 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(273,a,6656,a,b,6657,a)]. given #5878 (H,wt=17): 6597 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(6591(a,1),5408(a,1,2))]. given #5879 (H,wt=13): 6664 T(x,(x / y) / x) = T(x,1 / y). [hyper(212,a,6597,a(flip),b,6424,a)]. given #5880 (H,wt=17): 6601 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5176(a,1),6520(a,1,2)),flip(a)]. given #5881 (H,wt=17): 6602 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(5208(a,2),6520(a,1,2))]. given #5882 (H,wt=17): 6610 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(5063(a,2),6606(a,1,1,2))]. given #5883 (H,wt=17): 6613 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(10(a,1),6612(a,1,1,2,1))]. given #5884 (H,wt=17): 6659 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6657(a,1),108(a,1,2))]. given #5885 (H,wt=17): 6666 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [hyper(273,a,3003,a,b,6602,a)]. given #5886 (H,wt=18): 6431 x * T(y,z) != y * u | T(x * K(y,z),y) = u. [para(6411(a,1),213(a,2)),flip(a)]. given #5887 (H,wt=18): 6432 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(6411(a,1),291(a,1,2))]. given #5888 (H,wt=18): 6443 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6417(a,1),383(a,1,1))]. given #5889 (H,wt=18): 6451 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6446(a,1),30(a,1,1)),flip(a)]. given #5890 (H,wt=18): 6478 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6425(a,1),524(a,1))]. given #5891 (H,wt=18): 6504 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6485(a,1),5147(a,1,1))]. given #5892 (H,wt=13): 6674 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(6504,a,5126,a(flip))]. given #5893 (H,wt=13): 6675 T(x,1 / (y \ z)) = T(x,z \ y). [hyper(62,a,3126,a,b,6674,a)]. given #5894 (H,wt=13): 6677 T(x,(y * z) \ y) = T(x,z \ 1). [para(9(a,1),6674(a,1,2,1)),flip(a)]. given #5895 (H,wt=13): 6684 T(x,y \ (y / z)) = T(x,1 / z). [para(77(a,1),6675(a,1,2,2)),flip(a)]. given #5896 (H,wt=13): 6686 T(K(x,y),(z * y) \ z) = K(x,y). [hyper(273,a,2151,a(flip),b,6677,a),flip(a)]. given #5897 (H,wt=15): 6679 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(22(a,2),6674(a,1,2,1))]. given #5898 (H,wt=15): 6685 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(394,a,6677,a),flip(a)]. given #5899 (H,wt=16): 6689 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(273,a,353,a,b,6685,a)]. given #5900 (H,wt=16): 6690 L(x \ 1,x,y) \ y = T(y * x,1 / x). [hyper(273,a,3126,a,b,6689,a),flip(a)]. given #5901 (H,wt=16): 6691 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(176,a,6689,a)]. given #5902 (H,wt=17): 6688 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6679(a,2),236(a,1,2))]. given #5903 (H,wt=18): 6529 x * T(x \ y,z) != y * u | K(x \ y,z) = u. [para(6455(a,2),42(a,1))]. given #5904 (H,wt=18): 6530 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6455(a,2),288(a,1,2))]. given #5905 (H,wt=16): 6696 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5471(a,1),6530(a,1))]. given #5906 (H,wt=18): 6566 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6189(a,1),6563(a,1))]. given #5907 (H,wt=18): 6609 x / ((y * z) / y) != u * K(z,y) | x / z = u. [para(6600(a,2),43(a,1))]. given #5908 (H,wt=18): 6624 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(22(a,2),6570(a,1,2,1))]. given #5909 (H,wt=18): 6639 T(x,K(y,z)) != y * u | T(x / y,T(y,z)) = u. [para(6637(a,1),42(a,1))]. given #5910 (H,wt=18): 6648 x * K(y,z \ x) != u * x | K(y,x / z) = u. [para(6646(a,1),43(a,1))]. given #5911 (H,wt=18): 6652 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(6647(a,1),4350(a,1,2))]. given #5912 (H,wt=18): 6660 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(2072(a,2),6654(a,1,2))]. given #5913 (H,wt=18): 6661 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2299(a,2),6654(a,1,2))]. given #5914 (H,wt=18): 6697 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(22(a,2),6696(a,1,1,1))]. given #5915 (H,wt=19): 6454 (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. [para(4623(a,1),6421(a,1,1))]. given #5916 (H,wt=19): 6463 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5104(a,2),6424(a,1,1))]. given #5917 (H,wt=19): 6484 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(115,a,6464,a(flip),b,5112,a),flip(a)]. given #5918 (H,wt=19): 6491 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(5182(a,1),6469(a,1,1))]. given #5919 (H,wt=19): 6493 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(273,a,2307,a(flip),b,6485,a),flip(a)]. given #5920 (H,wt=19): 6494 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(62,a,5877,a,b,6485,a)]. given #5921 (H,wt=19): 6495 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(62,a,6349,a(flip),b,6485,a)]. given #5922 (H,wt=17): 6707 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6696,a,6495,a),flip(a)]. given #5923 (H,wt=19): 6508 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6485(a,1),5886(a,1,2))]. given #5924 (H,wt=19): 6509 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6485(a,1),6215(a,1,2))]. given #5925 (H,wt=19): 6527 K((x \ 1) \ (x \ y),z) = (x \ y) \ (x \ T(y,z)). [hyper(115,a,878,a(flip),b,6455,a(flip)),flip(a)]. given #5926 (H,wt=19): 6540 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [para(6536(a,1),86(a,1,2))]. given #5927 (H,wt=19): 6557 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(6548(a,1),447(a,1,2,1))]. given #5928 (H,wt=19): 6558 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6548(a,1),513(a,1,2,1))]. given #5929 (H,wt=19): 6587 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6569(a,1),6172(a,1,1)),flip(a)]. given #5930 (H,wt=19): 6596 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(6582(a,1),108(a,1,2))]. given #5931 (H,wt=19): 6635 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(3482(a,1),6413(a,1,1)),flip(a)]. given #5932 (H,wt=14): 6716 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(34,a,4503,a,b,6635,a)]. given #5933 (H,wt=14): 6717 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(5116(a,2),6716(a,1,2))]. given #5934 (H,wt=18): 6718 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(6717(a,1),27(a,2,1))]. given #5935 (H,wt=17): 6719 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(6718(a,1),392(a,1,1))]. given #5936 (H,wt=17): 6720 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(109(a,1),6719(a,1,1,1))]. given #5937 (H,wt=19): 6641 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4950,a,6505,a)]. given #5938 (H,wt=19): 6643 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6505(a,1),4918(a,1,1))]. given #5939 (H,wt=19): 6644 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(5138(a,2),6584(a,1,2,1))]. given #5940 (H,wt=19): 6645 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(273,a,2097,a(flip),b,6585,a)]. given #5941 (H,wt=19): 6663 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6658(a,2),5389(a,1,1))]. given #5942 (H,wt=19): 6670 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(273,a,5536,a(flip),b,6659,a),flip(a)]. given #5943 (H,wt=19): 6671 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3203(a,1),6659(a,1,2,2)),flip(a)]. given #5944 (H,wt=19): 6681 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(6674(a,1),108(a,1,2))]. given #5945 (H,wt=19): 6706 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(5058(a,1),6494(a,1,2))]. given #5946 (H,wt=19): 6711 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [hyper(273,a,4116,a(flip),b,6540,a),flip(a)]. given #5947 (H,wt=11): 6723 K(x,x * (y / x)) = K(x,y). [hyper(4388,a,6711,a)]. given #5948 (H,wt=11): 6724 K(x,y * x) = K(x,x * y). [para(11(a,1),6723(a,1,2,2)),flip(a)]. given #5949 (H,wt=15): 6725 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4892(a,2),6723(a,1,2))]. given #5950 (H,wt=15): 6728 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(11(a,1),6725(a,1,2,1,2)),flip(a)]. given #5951 (H,wt=19): 6726 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4904(a,1),6723(a,1,2))]. given #5952 (H,wt=20): 6477 K(x,y) * z != u * T(x,y) | T(u * x,K(x,y)) = z. [para(6425(a,1),213(a,2))]. given #5953 (H,wt=20): 6479 (x / y) * T(y,z) != u * w | (x * K(y,z)) / w = u. [para(6425(a,1),549(a,1))]. given #5954 (H,wt=20): 6488 (x * y) * K(y,z) != u * w | u \ (x * T(y,z)) = w. [para(6468(a,1),283(a,1,1))]. given #5955 (H,wt=20): 6542 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(62,a,5184,a,b,6539,a)]. given #5956 (H,wt=16): 6731 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(273,a,622,a(flip),b,6542,a)]. given #5957 (H,wt=20): 6578 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(405(a,1),6569(a,1,2,1)),flip(a)]. given #5958 (H,wt=20): 6590 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(18(a,2),6571(a,1,2,2)),flip(a)]. given #5959 (H,wt=20): 6620 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(5268(a,2),6487(a,1,1))]. given #5960 (H,wt=20): 6628 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5388(a,1),6570(a,1,2,1))]. given #5961 (H,wt=20): 6649 x * K(y,z \ x) != x * u | T(K(y,x / z),x) = u. [para(6646(a,1),213(a,2)),flip(a)]. given #5962 (H,wt=20): 6662 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3671(a,2),6654(a,1,2))]. given #5963 (H,wt=20): 6665 x / (y / z) != u * K(z \ y,z) | x / (z \ y) = u. [para(6601(a,1),43(a,1))]. given #5964 (H,wt=20): 6669 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(6613(a,1),43(a,1)),flip(a)]. given #5965 (H,wt=20): 6698 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(5388(a,1),6696(a,1,1,1))]. given #5966 (H,wt=20): 6701 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(192(a,2),6484(a,1,1,1))]. given #5967 (H,wt=21): 6440 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6439(a,1),104(a,1,1)),flip(a)]. given #5968 (H,wt=21): 6447 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6444(a,1),449(a,1,2,1))]. given #5969 (H,wt=21): 6486 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6464(a,1),5246(a,1,2))]. given #5970 (H,wt=21): 6579 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(641(a,1),6569(a,1,2,1)),flip(a)]. given #5971 (H,wt=21): 6580 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(933(a,1),6569(a,1,2,1))]. given #5972 (H,wt=17): 6739 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(62,a,6644,a(flip),b,6580,a),flip(a)]. given #5973 (H,wt=17): 6740 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(10(a,1),6739(a,1,2,1)),flip(a)]. given #5974 (H,wt=21): 6588 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6569(a,1),6145(a,2,2))]. given #5975 (H,wt=19): 6741 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(273,a,5408,a(flip),b,6588,a),flip(a)]. given #5976 (H,wt=21): 6623 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [para(6556(a,1),438(a,1,2)),flip(a)]. given #5977 (H,wt=21): 6640 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6503(a,1),6149(a,2,1))]. given #5978 (H,wt=15): 6743 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5221(a,1),6640(a,1,1,1)),flip(a)]. given #5979 (H,wt=13): 6744 K(x \ K(x,y),x) = K(x \ 1,x). [hyper(2987,a,6743,a),flip(a)]. given #5980 (H,wt=17): 6746 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6743(a,1),108(a,1,2)),flip(a)]. given #5981 (H,wt=17): 6747 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(6744(a,1),260(a,1,2))]. given #5982 (H,wt=15): 6749 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(2644,a,6747,a)]. given #5983 (H,wt=17): 6748 K(x,y) / (K(x,y) / x) = x * K(x \ 1,x). [para(6744(a,1),5063(a,2,2))]. given #5984 (H,wt=15): 6750 K(x,y) / (K(x,y) / x) = 1 / (1 / x). [hyper(273,a,5063,a,b,6748,a),flip(a)]. given #5985 (H,wt=15): 6751 (1 / (1 / x)) \ K(x,y) = K(x,y) / x. [hyper(171,a,6750,a)]. given #5986 (H,wt=18): 6745 T(x,y) != K(z \ 1,u) | K(z \ K(z,y),u) = x. [para(6743(a,1),48(a,1)),flip(a)]. given #5987 (H,wt=19): 6752 K(x \ 1,y) / (x \ 1) = (1 / x) \ K(x \ 1,y). [para(74(a,1),6751(a,1,1,2)),flip(a)]. given #5988 (H,wt=17): 6753 (1 / x) \ K(x \ 1,y) = K(y,x \ 1) \ x. [hyper(62,a,6016,a(flip),b,6752,a),flip(a)]. given #5989 (H,wt=17): 6754 (K(x,y \ 1) / y) \ 1 = K(x,y \ 1) \ y. [hyper(62,a,6013,a,b,6753,a)]. given #5990 (H,wt=21): 6672 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6666(a,1),4837(a,1,1)),flip(a)]. given #5991 (H,wt=19): 6755 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6672(a,1),5718(a,1,2))]. given #5992 (H,wt=21): 6682 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6674(a,1),3162(a,1,2))]. given #5993 (H,wt=21): 6730 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(4209(a,2),6726(a,2,2))]. given #5994 (H,wt=21): 6737 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3147(a,1),6440(a,2,2))]. given #5995 (H,wt=22): 6430 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6411(a,1),192(a,2,1))]. given #5996 (H,wt=19): 6757 L(x \ 1,x,y * K(x,z)) = L(x \ 1,T(x,z),y). [hyper(273,a,5348,a(flip),b,6430,a),flip(a)]. given #5997 (H,wt=22): 6531 x \ (y * T(y \ x,z)) != u * w | u \ K(y \ x,z) = w. [para(6455(a,2),285(a,1,2))]. given #5998 (H,wt=20): 6759 K((x \ y) \ 1,z) != u * w | u \ K(y \ x,z) = w. [para(5471(a,1),6531(a,1))]. given #5999 (H,wt=22): 6575 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(14(a,2),6569(a,1,2,1)),flip(a)]. given #6000 (H,wt=22): 6615 K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. [para(5132(a,1),6474(a,1,1)),flip(a)]. given #6001 (H,wt=22): 6616 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(5687(a,1),6474(a,1))]. given #6002 (H,wt=19): 6761 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(6616,a,6328,a)]. given #6003 (H,wt=22): 6617 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) != u | K(y,z) = u. [para(5182(a,1),6476(a,1,1))]. given #6004 (H,wt=22): 6619 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(5132(a,1),6487(a,1,1))]. given #6005 (H,wt=22): 6621 (x * y) * K(y,y \ 1) != z | (x * K(y,y \ 1)) * y = z. [para(2541(a,2),6516(a,1))]. given #6006 (H,wt=22): 6626 K(x \ y,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(2347(a,2),6570(a,1))]. given #6007 (H,wt=22): 6673 x * (((x \ y) \ 1) \ 1) != z | y * K(x \ y,y \ x) = z. [para(2299(a,1),6478(a,1,2))]. given #6008 (H,wt=22): 6692 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4963(a,1),6691(a,1,2))]. given #6009 (H,wt=22): 6694 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1142(a,1),6530(a,1,2))]. given #6010 (H,wt=15): 6767 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6694,a,6706,a),flip(a)]. given #6011 (H,wt=18): 6768 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6706(a,1),6694(a,1))]. given #6012 (H,wt=22): 6708 x * K((y \ 1) \ (y \ z),u) != y \ T(z,u) | y \ z = x. [para(6508(a,1),43(a,1)),flip(a)]. given #6013 (H,wt=22): 6710 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6527(a,2),225(a,1,2))]. given #6014 (H,wt=22): 6733 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(391(a,2),6590(a,1,2))]. given #6015 (H,wt=22): 6734 K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5138(a,2),6628(a,1,2,1))]. given #6016 (H,wt=22): 6742 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) != z | y * (x / y) = z. [para(6588(a,2),5598(a,1))]. given #6017 (H,wt=22): 6760 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(465(a,2),6575(a,1,2))]. given #6018 (H,wt=22): 6769 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6455(a,2),6710(a,1))]. given #6019 (H,wt=20): 6770 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(66(a,1),6769(a,1,2,1,2))]. given #6020 (H,wt=23): 6422 ((x * y) * K(L(z,y,x),u)) \ (x * (y * T(z,u))) = L(z,y,x). [hyper(115,a,447,a(flip),b,6411,a)]. given #6021 (H,wt=23): 6458 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(62,a,5004,a(flip),b,6424,a),flip(a)]. given #6022 (H,wt=23): 6514 T(K(x \ 1,x) * K(y,x),y) = y \ T(y * K(x \ 1,x),x). [hyper(115,a,3040,a,b,6415,a),flip(a)]. given #6023 (H,wt=21): 6771 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(5652(a,1),6514(a,1,1)),flip(a)]. given #6024 (H,wt=23): 6605 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(5871(a,2),6594(a,2,2))]. given #6025 (H,wt=23): 6625 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(96(a,2),6570(a,1,2,1))]. given #6026 (H,wt=23): 6683 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(6674(a,1),3324(a,1,1))]. given #6027 (H,wt=23): 6712 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(6557(a,1),5380(a,1,2))]. given #6028 (H,wt=23): 6715 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(6596(a,1),5198(a,1,2))]. given #6029 (H,wt=23): 6722 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(5182(a,2),6645(a,1,1))]. given #6030 (H,wt=23): 6729 K(x \ y,T(T((x \ y) * x,z),u)) = K(x \ y,T(T(y,z),u)). [para(4904(a,1),6725(a,1,2,1))]. given #6031 (H,wt=23): 6756 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(9(a,1),6682(a,1,2,2))]. given #6032 (H,wt=21): 6774 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(64(a,1),6756(a,2,2))]. given #6033 (H,wt=17): 6775 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(348,a,6774,a),flip(a)]. given #6034 (H,wt=21): 6776 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(33,a,216,a(flip),b,6774,a),flip(a)]. given #6035 (H,wt=23): 6764 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6761(a,2),4757(a,1,2))]. given #6036 (H,wt=23): 6772 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(273,a,3088,a(flip),b,6683,a),flip(a)]. given #6037 (H,wt=15): 6777 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(273,a,6741,a(flip),b,6772,a),flip(a)]. given #6038 (H,wt=15): 6779 T(x,y / x) / (y \ x) = x * (y / x). [para(4230(a,2),6777(a,1,1))]. given #6039 (H,wt=19): 6778 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(592(a,1),6777(a,1,1))]. given #6040 (H,wt=15): 6781 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(273,a,4488,a(flip),b,6778,a),flip(a)]. given #6041 (H,wt=14): 6782 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(385,a,6781,a)]. given #6042 (H,wt=16): 6783 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(9(a,1),6782(a,1,3)),flip(a)]. given #6043 (H,wt=15): 6784 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(62,a,3914,a(flip),b,6783,a)]. given #6044 (H,wt=20): 6785 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(6784(a,1),1343(a,1,1,2))]. given #6045 (H,wt=14): 6786 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(2030,a,6785,a)]. given #6046 (H,wt=13): 6787 (x * y) \ T(x,y) = (y * x) \ x. [hyper(62,a,4656,a(flip),b,6786,a)]. given #6047 (H,wt=13): 6789 T(x,y) = (x * y) * ((y * x) \ x). [hyper(131,a,6787,a),flip(a)]. given #6048 (H,wt=15): 6788 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(297,a,6787,a),flip(a)]. given #6049 (H,wt=19): 6791 (x / y) \ T(x,y \ 1) = ((x \ (x / y)) * x) \ x. [para(5103(a,1),6788(a,2,2)),flip(a)]. given #6050 (H,wt=23): 6780 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(273,a,6597,a,b,6779,a),flip(a)]. given #6051 (H,wt=21): 6792 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6664(a,1),6780(a,1,1))]. given #6052 (H,wt=17): 6793 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(77(a,1),6792(a,1,2)),flip(a)]. given #6053 (H,wt=15): 6794 x \ (T(x,1 / y) / y) = (x / y) / x. [hyper(115,a,6793,a(flip),b,6597,a(flip))]. given #6054 (H,wt=24): 6429 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y * K(z,u),x). [para(6411(a,1),18(a,2,2,2)),flip(a)]. given #6055 (H,wt=24): 6693 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(809(a,1),6530(a,1,2))]. given #6056 (H,wt=25): 5042 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(5026(a,2),4772(a,1,2))]. given #6057 (H,wt=25): 5054 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(115,a,5052,a(flip),b,936,a)]. given #6058 (H,wt=25): 5077 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(405(a,1),5063(a,2,2,1))]. given #6059 (H,wt=23): 6795 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4473(a,1),5077(a,2,2))]. given #6060 (H,wt=25): 5465 x * ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(3749(a,2),5392(a,1))]. given #6061 (H,wt=25): 5576 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(5250(a,1),417(a,1,1,1)),flip(a)]. given #6062 (H,wt=19): 6796 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(62,a,1187,a(flip),b,5576,a),flip(a)]. given #6063 (H,wt=25): 5590 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(728(a,1),5366(a,2,2))]. given #6064 (H,wt=20): 6798 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6133(a,1),5590(a,1,1))]. given #6065 (H,wt=25): 5654 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(5134(a,1),5115(a,1,1,1)),flip(a)]. given #6066 (H,wt=21): 6799 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5361(a,1),5654(a,2,2))]. given #6067 (H,wt=19): 6800 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5386(a,1),6799(a,1,2))]. given #6068 (H,wt=25): 5766 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(5134(a,1),5561(a,1,1))]. given #6069 (H,wt=25): 5839 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(808(a,1),5470(a,1,1))]. given #6070 (H,wt=25): 5879 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1409(a,1),5471(a,1,2))]. given #6071 (H,wt=25): 5881 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2022(a,1),5471(a,1,2))]. given #6072 (H,wt=21): 6803 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(62,a,5938,a(flip),b,5881,a),flip(a)]. given #6073 (H,wt=19): 6804 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(273,a,6485,a(flip),b,6803,a),flip(a)]. given #6074 (H,wt=17): 6805 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6696,a,6804,a)]. given #6075 (H,wt=19): 6806 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6805(a,1),5370(a,1,2)),flip(a)]. given #6076 (H,wt=25): 5988 T((x / (y * K(z,y))) * y,(z * y) / z) = ((z * y) / z) \ (x * y). [para(5330(a,1),110(a,1,1))]. given #6077 (H,wt=25): 6023 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1098(a,1),5693(a,1,1))]. given #6078 (H,wt=21): 6807 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(10(a,1),6023(a,1,1,2,2,1))]. given #6079 (H,wt=19): 6808 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(273,a,5854,a(flip),b,6807,a),flip(a)]. given #6080 (H,wt=22): 6809 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6807(a,2),5855(a,1))]. given #6081 (H,wt=25): 6040 x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). [hyper(62,a,267,a(flip),b,5883,a)]. given #6082 (H,wt=25): 6042 T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). [para(5883(a,2),5734(a,1,1,1))]. given #6083 (H,wt=19): 6811 K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). [hyper(62,a,5934,a(flip),b,6042,a),flip(a)]. given #6084 (H,wt=17): 6812 K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). [hyper(6696,a,6811,a)]. given #6085 (H,wt=25): 6192 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(167(a,1),6190(a,1,2,2)),flip(a)]. given #6086 (H,wt=25): 6203 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(62,a,2096,a(flip),b,5697,a)]. given #6087 (H,wt=19): 6815 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5697(a,1),6203(a,1,1))]. given #6088 (H,wt=23): 6818 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3635(a,1),6815(a,2,2))]. given #6089 (H,wt=19): 6819 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3635(a,1),6818(a,1,1,2))]. given #6090 (H,wt=25): 6211 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1196(a,1),5769(a,1,2,2))]. given #6091 (H,wt=25): 6234 R(K(x,y),z,(K(y,x) * z) \ 1) != u | z * ((K(y,x) * z) \ 1) = u. [para(6228(a,1),233(a,1)),flip(b)]. given #6092 (H,wt=25): 6265 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(6259(a,1),4722(a,1,1))]. given #6093 (H,wt=19): 6821 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(62,a,6798,a(flip),b,6265,a)]. given #6094 (H,wt=17): 6822 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1130(a,1),6821(a,1,2,1))]. given #6095 (H,wt=17): 6823 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(171,a,6822,a),flip(a)]. given #6096 (H,wt=17): 6825 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(122,a,6823,a)]. given #6097 (H,wt=21): 6824 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(316,a,6823,a)]. given #6098 (H,wt=25): 6271 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [hyper(116,a,6270,a(flip),b,5534,a)]. given #6099 (H,wt=25): 6276 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(6264(a,1),5739(a,2,2,1))]. given #6100 (H,wt=21): 6827 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(6162(a,1),6276(a,1,1))]. given #6101 (H,wt=25): 6286 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6268(a,1),5388(a,1,1)),flip(a)]. given #6102 (H,wt=21): 6828 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(6164(a,1),6286(a,1,1)),flip(a)]. given #6103 (H,wt=24): 6829 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2712(a,1),6828(a,1,1)),flip(a)]. given #6104 (H,wt=23): 6830 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2712(a,1),6829(a,1,1)),flip(a)]. given #6105 (H,wt=25): 6298 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6060(a,2),6062(a,2,2,2))]. given #6106 (H,wt=20): 6831 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(33,a,6261,a,b,6298,a)]. given #6107 (H,wt=25): 6304 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(6261(a,1),42(a,1)),flip(a)]. given #6108 (H,wt=25): 6315 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(62,a,5137,a,b,5289,a)]. given #6109 (H,wt=25): 6319 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1319(a,1),6318(a,2,2))]. given #6110 (H,wt=21): 6835 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(5110(a,2),6319(a,1,2)),flip(a)]. given #6111 (H,wt=19): 6836 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(273,a,5192,a(flip),b,6835,a),flip(a)]. given #6112 (H,wt=17): 6837 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(4830(a,1),6836(a,1,2))]. given #6113 (H,wt=17): 6838 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [hyper(171,a,6837,a)]. given #6114 (H,wt=25): 6322 (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). [para(822(a,1),5661(a,1,1,2))]. given #6115 (H,wt=25): 6325 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1624(a,1),5840(a,1,1))]. given #6116 (H,wt=25): 6326 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(547(a,1),6002(a,1,1,1)),flip(a)]. given #6117 (H,wt=20): 6839 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4160(a,1),6326(a,1,1)),flip(a)]. given #6118 (H,wt=18): 6840 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5977,a,6839,a)]. given #6119 (H,wt=15): 6843 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(102(a,2),6840(a,1,1))]. given #6120 (H,wt=12): 6844 K(R(x,x \ 1,y),z) = K(x,z). [hyper(273,a,341,a(flip),b,6843,a),flip(a)]. given #6121 (H,wt=15): 6845 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(9(a,1),6843(a,1,1,2)),flip(a)]. given #6122 (H,wt=14): 6850 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(62,a,3828,a(flip),b,6845,a),flip(a)]. given #6123 (H,wt=17): 6849 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(273,a,6078,a(flip),b,6844,a),flip(a)]. given #6124 (H,wt=17): 6852 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(62,a,3764,a,b,6850,a)]. given #6125 (H,wt=17): 6853 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(115,a,6850,a(flip),b,3764,a)]. given #6126 (H,wt=17): 6855 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(33,a,3832,a,b,6852,a)]. given #6127 (H,wt=17): 6857 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(122,a,6855,a)]. given #6128 (H,wt=15): 6859 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(62,a,4988,a(flip),b,6857,a)]. given #6129 (H,wt=18): 6842 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(77(a,1),6840(a,1,1,2,1)),flip(a)]. given #6130 (H,wt=18): 6861 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(12(a,1),6842(a,2,1,2))]. given #6131 (H,wt=19): 6856 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(6853(a,1),5244(a,1,2)),flip(a)]. given #6132 (H,wt=20): 6846 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6843(a,2),104(a,1,1))]. given #6133 (H,wt=20): 6858 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(6855(a,1),288(a,1,2))]. given #6134 (H,wt=20): 6860 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(12(a,1),6842(a,2,1,1))]. given #6135 (H,wt=21): 6847 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(5506(a,1),6843(a,1,1,2)),flip(a)]. given #6136 (H,wt=21): 6851 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6845(a,1),31(a,1,1)),flip(a)]. given #6137 (H,wt=21): 6862 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [hyper(62,a,4833,a,b,6856,a)]. given #6138 (H,wt=23): 6848 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5513(a,1),6843(a,1,1,2))]. given #6139 (H,wt=24): 6863 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(6539(a,1),6860(a,1,1))]. given #6140 (H,wt=24): 6864 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6175(a,2),6862(a,1,2))]. given #6141 (H,wt=15): 6865 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(4479,a,6864,a)]. given #6142 (H,wt=15): 6866 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(129,a,6865,a)]. given #6143 (H,wt=13): 6867 x / R(x,y,z) = R(x,y,z) \ x. [hyper(62,a,1364,a(flip),b,6866,a)]. given #6144 (H,wt=13): 6868 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(129,a,6867,a)]. given #6145 (H,wt=17): 6870 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6868(a,1),4896(a,1,1,1))]. given #6146 (H,wt=19): 6871 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5267,a,6870,a)]. given #6147 (H,wt=24): 6869 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6867(a,1),6183(a,1,1,2))]. given #6148 (H,wt=25): 6346 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(115,a,6343,a,b,108,a)]. given #6149 (H,wt=20): 6872 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(697,a,6346,a)]. given #6150 (H,wt=24): 6874 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6872(a,1),6267(a,1,1,1)),flip(a)]. given #6151 (H,wt=20): 6875 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(273,a,6150,a(flip),b,6874,a),flip(a)]. given #6152 (H,wt=25): 6367 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(10(a,1),6352(a,2,2,2,1))]. given #6153 (H,wt=25): 6433 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,y,x * K(y,z)) = u. [para(6411(a,1),388(a,1,1))]. given #6154 (H,wt=25): 6452 (x * K(y,z)) * L(T(y,u),w,v5) = x * (K(y,z) * L(T(y,u),w,v5)). [para(6446(a,1),449(a,1,2,1))]. given #6155 (H,wt=25): 6507 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6485(a,1),6114(a,2,2))]. given #6156 (H,wt=25): 6592 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6571(a,1),6130(a,2,2))]. given #6157 (H,wt=25): 6736 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1345(a,1),6701(a,2,2))]. given #6158 (H,wt=25): 6773 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(273,a,6586,a,b,6722,a),flip(a)]. given #6159 (H,wt=22): 6877 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(690,a,6773,a)]. given #6160 (H,wt=21): 6878 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(62,a,6237,a(flip),b,6877,a)]. given #6161 (H,wt=21): 6879 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4944(a,1),6878(a,1,2))]. given #6162 (H,wt=19): 6880 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(273,a,5854,a(flip),b,6879,a),flip(a)]. given #6163 (H,wt=17): 6881 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(62,a,6038,a(flip),b,6880,a)]. given #6164 (H,wt=26): 5275 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5104(a,2),821(a,1,1,1))]. given #6165 (H,wt=26): 5326 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1256(a,1),5135(a,1,1))]. given #6166 (H,wt=20): 6883 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5326(a,1),704(a,2,1)),flip(a)]. given #6167 (H,wt=22): 6882 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(62,a,5315,a,b,5326,a)]. given #6168 (H,wt=22): 6885 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5738,a,6883,a)]. given #6169 (H,wt=26): 5328 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1362(a,1),5135(a,1,1))]. given #6170 (H,wt=26): 5422 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),K(u,z) * y). [para(5387(a,1),14(a,2,1,2)),flip(a)]. given #6171 (H,wt=26): 5483 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5112(a,1),2163(a,2,1,2))]. given #6172 (H,wt=26): 5495 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5137(a,1),14(a,2,2,1)),flip(a)]. given #6173 (H,wt=26): 5582 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5277(a,2),1060(a,2,2))]. given #6174 (H,wt=26): 5820 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(30(a,1),5214(a,2,2))]. given #6175 (H,wt=23): 6892 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5819(a,1),5820(a,1,1,1))]. given #6176 (H,wt=26): 6054 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5388(a,1),5428(a,1,1))]. given #6177 (H,wt=26): 6067 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(5657(a,1),5835(a,1,1,1,2))]. given #6178 (H,wt=19): 6893 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(62,a,5835,a(flip),b,6067,a),flip(a)]. given #6179 (H,wt=26): 6074 T(x,y) \ T(z * T(z \ x,x),y) != u | K((x \ z) \ 1,T(x,y)) = u. [para(5476(a,2),5913(a,1,2,1))]. given #6180 (H,wt=26): 6098 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(116,a,6093,a(flip),b,104,a)]. given #6181 (H,wt=26): 6101 (x * K(y \ 1,z)) * y != u * w | ((x * y) * K(y \ 1,z)) / w = u. [para(6096(a,1),284(a,1,2))]. given #6182 (H,wt=26): 6208 ((1 / x) * y) * T(((1 / x) * y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5701(a,2),213(a,2)),flip(a)]. given #6183 (H,wt=26): 6299 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(62,a,6229,a,b,6233,a)]. given #6184 (H,wt=26): 6317 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(5329(a,1),871(a,1,1,1))]. given #6185 (H,wt=22): 6896 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(9(a,1),6317(a,2,1,1))]. given #6186 (H,wt=26): 6339 x * K(y,(x \ y) \ 1) != z * ((x \ y) \ 1) | ((x \ y) \ 1) \ x = z. [para(6145(a,1),43(a,1))]. given #6187 (H,wt=26): 6347 (1 / x) * (K(x,y) * z) != u * w | u \ (K(x,y) * ((1 / x) * z)) = w. [para(6345(a,1),283(a,1,1))]. given #6188 (H,wt=26): 6348 (1 / x) * (K(x,y) * z) != u * w | (K(x,y) * ((1 / x) * z)) / w = u. [para(6345(a,1),376(a,1,1))]. given #6189 (H,wt=26): 6350 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2722(a,1),6222(a,1,2,2,1)),flip(a)]. given #6190 (H,wt=23): 6897 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2793(a,1),6350(a,1,2,2,1)),flip(a)]. given #6191 (H,wt=26): 6357 ((L(x,y,z) \ 1) * x) * (1 / x) != u * (x \ 1) | L(x,y,z) \ x = u. [para(6309(a,2),43(a,1))]. given #6192 (H,wt=26): 6363 K((x * y) / (x * (z \ y)),u) != (x * (K(z,u) * y)) / w | x * y = w. [para(6323(a,2),44(a,1))]. given #6193 (H,wt=26): 6365 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6327(a,1),42(a,1))]. given #6194 (H,wt=26): 6366 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6328(a,2),42(a,1))]. given #6195 (H,wt=26): 6375 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6374(a,2),43(a,1))]. given #6196 (H,wt=26): 6428 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6411(a,1),14(a,2,1,2)),flip(a)]. given #6197 (H,wt=26): 6436 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6411(a,1),5810(a,1,2,1))]. given #6198 (H,wt=26): 6532 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6455(a,2),95(a,1,2,2)),flip(a)]. given #6199 (H,wt=20): 6899 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [hyper(6693,a,6532,a(flip)),flip(a)]. given #6200 (H,wt=15): 6901 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(62,a,3740,a(flip),b,6899,a),flip(a)]. given #6201 (H,wt=17): 6904 K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). [hyper(5978,a,6901,a)]. given #6202 (H,wt=17): 6905 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(62,a,5303,a,b,6901,a)]. given #6203 (H,wt=23): 6900 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6532(a,2),6693(a,1))]. given #6204 (H,wt=23): 6902 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6899(a,1),437(a,1,2)),flip(a)]. given #6205 (H,wt=19): 6907 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(260(a,1),6902(a,1,2)),flip(a)]. given #6206 (H,wt=15): 6908 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(33,a,6509,a,b,6907,a),flip(a)]. given #6207 (H,wt=22): 6909 x * ((y \ (x \ z)) * y) != z * u | K((x * y) \ z,y) = u. [para(6907(a,1),42(a,1))]. given #6208 (H,wt=23): 6906 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6905(a,1),5019(a,2,1))]. given #6209 (H,wt=23): 6910 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6906(a,1),6038(a,1,2)),flip(a)]. given #6210 (H,wt=19): 6911 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(273,a,5419,a(flip),b,6910,a),flip(a)]. given #6211 (H,wt=17): 6913 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(62,a,6881,a(flip),b,6911,a)]. given #6212 (H,wt=24): 6903 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6767(a,1),6899(a,1,1))]. given #6213 (H,wt=19): 6914 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(6900,a,6903,a),flip(a)]. given #6214 (H,wt=15): 6915 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(10(a,1),6914(a,2,1,1))]. given #6215 (H,wt=15): 6916 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(74(a,1),6915(a,1,1,1,2))]. given #6216 (H,wt=26): 6534 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(6455(a,2),3228(a,1,2,1)),flip(a)]. given #6217 (H,wt=24): 6917 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(273,a,5879,a(flip),b,6534,a),flip(a)]. given #6218 (H,wt=26): 6766 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(77(a,1),6692(a,1,2,2)),flip(a)]. given #6219 (H,wt=24): 6918 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3958(a,1),6766(a,2,2))]. given #6220 (H,wt=19): 6919 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(62,a,3963,a(flip),b,6918,a),flip(a)]. given #6221 (H,wt=23): 6920 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3127(a,1),6919(a,1,2,2)),flip(a)]. given #6222 (H,wt=19): 6921 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3127(a,1),6920(a,1,1,1)),flip(a)]. given #6223 (H,wt=19): 6922 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(171,a,6921,a)]. given #6224 (H,wt=25): 6923 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(110(a,1),6922(a,1,1,1,1))]. given #6225 (H,wt=23): 6924 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(110(a,1),6923(a,2,2))]. given #6226 (H,wt=26): 6814 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6195(a,1),6192(a,1,1))]. given #6227 (H,wt=22): 6925 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(62,a,6845,a(flip),b,6814,a),flip(a)]. given #6228 (H,wt=26): 6833 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6831(a,1),3021(a,1,1))]. given #6229 (H,wt=26): 6834 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6831(a,1),3115(a,1,1))]. given #6230 (H,wt=24): 6927 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(273,a,108,a(flip),b,6834,a),flip(a)]. given #6231 (H,wt=26): 6891 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(764(a,2),5582(a,1,2,2,1))]. given #6232 (H,wt=24): 6930 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2014(a,1),6891(a,1,2))]. given #6233 (H,wt=26): 6895 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1548(a,1),6098(a,1,2))]. given #6234 (H,wt=17): 6931 R(x,K(y \ 1,z),y) = R(x,y,K(y \ 1,z)). [hyper(482,a,6895,a),flip(a)]. given #6235 (H,wt=20): 6932 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6895(a,1),482(a,1))]. given #6236 (H,wt=26): 6926 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6925(a,1),5419(a,1,2,1)),flip(a)]. given #6237 (H,wt=22): 6933 K(R(R(x,y,z),y * z,u),x * y) = K(x,R(x * y,z,u)). [hyper(273,a,5419,a(flip),b,6926,a),flip(a)]. given #6238 (H,wt=25): 6934 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6926(a,2),5426(a,1))]. given #6239 (H,wt=27): 5038 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2307(a,1),5025(a,2,2))]. given #6240 (H,wt=25): 6935 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2307(a,1),5038(a,1,1,2))]. given #6241 (H,wt=18): 6936 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(33,a,5819,a,b,6935,a(flip))]. given #6242 (H,wt=21): 6938 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(456(a,1),6936(a,1,2)),flip(a)]. given #6243 (H,wt=14): 6940 L(x,y,K(z \ (u \ 1),u * z)) = x. [para(6938(a,1),3789(a,1,3))]. given #6244 (H,wt=23): 6939 K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). [para(457(a,1),6936(a,1,2)),flip(a)]. given #6245 (H,wt=25): 6941 K(x \ (y \ 1),y * x) * (1 / z) = K(x \ (y \ 1),y * x) / z. [para(6940(a,1),386(a,1,2)),flip(a)]. given #6246 (H,wt=27): 5055 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(256(a,1),5033(a,1,2,1,2))]. given #6247 (H,wt=27): 5191 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(5117(a,2),1196(a,1,1)),flip(a)]. given #6248 (H,wt=25): 6943 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(5117(a,2),5191(a,2,2,1,1))]. given #6249 (H,wt=27): 5203 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5126(a,2),2391(a,1,2,1))]. given #6250 (H,wt=27): 5298 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(83(a,1),5131(a,1,2,1))]. given #6251 (H,wt=27): 5325 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(1107(a,1),5135(a,1,1))]. given #6252 (H,wt=21): 6945 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(6126(a,1),5325(a,2,2))]. given #6253 (H,wt=27): 5557 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(5182(a,1),453(a,1,1))]. given #6254 (H,wt=27): 5600 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [hyper(4600,a,5408,a)]. given #6255 (H,wt=27): 5623 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5518(a,1),450(a,1,1)),flip(a)]. given #6256 (H,wt=27): 5750 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(273,a,3109,a(flip),b,5446,a),flip(a)]. given #6257 (H,wt=23): 6948 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3635(a,1),5750(a,1,2,2))]. given #6258 (H,wt=27): 5787 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4278(a,1),5767(a,1,2)),flip(a)]. given #6259 (H,wt=23): 6949 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5404(a,1),5787(a,1,1))]. given #6260 (H,wt=27): 5834 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5321(a,2),4328(a,1,1))]. given #6261 (H,wt=27): 6037 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2883(a,2),5720(a,1,2,2))]. given #6262 (H,wt=27): 6170 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(62,a,2513,a,b,6163,a)]. given #6263 (H,wt=17): 6951 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(33,a,1804,a(flip),b,6170,a),flip(a)]. given #6264 (H,wt=17): 6952 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(62,a,2475,a,b,6951,a)]. given #6265 (H,wt=17): 6953 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(176,a,6952,a),flip(a)]. given #6266 (H,wt=17): 6954 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(74(a,1),6952(a,1,1,1,2)),flip(a)]. given #6267 (H,wt=17): 6955 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(74(a,1),6953(a,1,1,2)),flip(a)]. given #6268 (H,wt=17): 6959 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [hyper(171,a,6954,a)]. given #6269 (H,wt=17): 6961 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(74(a,1),6959(a,1,1,1,1)),flip(a)]. given #6270 (H,wt=21): 6958 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(6953(a,1),219(a,1,1))]. given #6271 (H,wt=17): 6967 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(77(a,1),6958(a,2,1))]. given #6272 (H,wt=21): 6968 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(6967(a,1),23(a,1,1)),flip(a)]. given #6273 (H,wt=22): 6956 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(256(a,1),6953(a,2,2,2))]. given #6274 (H,wt=22): 6957 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(455(a,1),6953(a,2,2,2))]. given #6275 (H,wt=22): 6963 L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. [para(455(a,1),6961(a,2,1,1))]. given #6276 (H,wt=23): 6960 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(6955(a,1),6953(a,1,1)),flip(a)]. given #6277 (H,wt=23): 6970 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [hyper(115,a,6957,a(flip),b,228,a)]. given #6278 (H,wt=23): 6971 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(115,a,6963,a(flip),b,228,a)]. given #6279 (H,wt=23): 6972 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(6960(a,1),3638(a,1,2))]. given #6280 (H,wt=22): 6974 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(273,a,6733,a(flip),b,6972,a),flip(a)]. given #6281 (H,wt=23): 6973 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(273,a,2660,a,b,6971,a),flip(a)]. given #6282 (H,wt=24): 6964 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(457(a,1),6961(a,2,1,1))]. given #6283 (H,wt=26): 6966 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(6961(a,2),6833(a,2,2))]. given #6284 (H,wt=19): 6977 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(62,a,6927,a(flip),b,6966,a),flip(a)]. given #6285 (H,wt=19): 6978 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(171,a,6977,a)]. given #6286 (H,wt=26): 6975 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) != y * z | K(x \ y,y \ x) = z. [para(6973(a,2),42(a,1))]. given #6287 (H,wt=26): 6976 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2299(a,2),6964(a,1,1))]. given #6288 (H,wt=19): 6980 T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. [hyper(62,a,565,a(flip),b,6976,a)]. given #6289 (H,wt=17): 6981 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(64(a,1),6980(a,2,1,1))]. given #6290 (H,wt=21): 6979 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(62,a,685,a(flip),b,6976,a)]. given #6291 (H,wt=21): 6982 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [hyper(62,a,5163,a(flip),b,6981,a)]. given #6292 (H,wt=19): 6985 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(33,a,2545,a,b,6982,a)]. given #6293 (H,wt=22): 6988 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). [para(6985(a,1),3828(a,1,1))]. given #6294 (H,wt=22): 6990 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). [hyper(273,a,6985,a(flip),b,6988,a),flip(a)]. given #6295 (H,wt=22): 6991 K(x * y,(x * y) \ 1) != z | K(x * y,y \ (x \ 1)) = z. [para(6988(a,1),342(a,1))]. given #6296 (H,wt=23): 6986 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(6985(a,1),3007(a,2,2))]. given #6297 (H,wt=23): 6993 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(6985(a,1),6986(a,1,1))]. given #6298 (H,wt=25): 6992 (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. [hyper(116,a,6986,a(flip),b,2725,a)]. given #6299 (H,wt=27): 6210 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(809(a,1),5769(a,1,2,2))]. given #6300 (H,wt=25): 6994 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(108(a,1),6210(a,1,2,2,2))]. given #6301 (H,wt=27): 6253 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(5281(a,1),2032(a,1,2))]. given #6302 (H,wt=25): 6995 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(8(a,1),6253(a,2,1,2,2))]. given #6303 (H,wt=27): 6277 T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). [para(6264(a,1),5571(a,1,2)),flip(a)]. given #6304 (H,wt=23): 6996 T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). [para(6264(a,1),6277(a,1,1,2)),flip(a)]. given #6305 (H,wt=21): 6997 T(x * L(K(y,x),z,u),y) = T(x,y) * L(K(y,x),z,u). [para(5354(a,1),6996(a,1,2,1)),flip(a)]. given #6306 (H,wt=27): 6294 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(5998(a,1),104(a,1,1))]. given #6307 (H,wt=27): 6305 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(256(a,1),6261(a,1,2,1,1))]. given #6308 (H,wt=27): 6351 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(316,a,6225,a)]. given #6309 (H,wt=23): 7000 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(77(a,1),6351(a,1,1,1,1,2)),flip(a)]. given #6310 (H,wt=21): 7001 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6485(a,1),7000(a,1,2))]. given #6311 (H,wt=21): 7002 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5682(a,1),7001(a,1,2))]. given #6312 (H,wt=27): 6593 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(62,a,6124,a,b,6574,a)]. given #6313 (H,wt=21): 7003 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(62,a,6574,a(flip),b,6593,a)]. given #6314 (H,wt=27): 6642 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(6505(a,1),1951(a,2,2,1))]. given #6315 (H,wt=23): 7005 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(9(a,1),6642(a,1,1,2,1)),flip(a)]. given #6316 (H,wt=27): 6721 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5682(a,1),6641(a,2,2))]. given #6317 (H,wt=27): 6738 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2248(a,2),6579(a,1,2))]. given #6318 (H,wt=27): 6820 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(4958(a,1),6211(a,1,2,2))]. given #6319 (H,wt=21): 7007 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [hyper(62,a,6994,a(flip),b,6820,a),flip(a)]. given #6320 (H,wt=27): 6928 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(6834(a,2),252(a,1))]. given #6321 (H,wt=27): 6947 x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). [para(5726(a,1),5600(a,1,2,2))]. given #6322 (H,wt=23): 7009 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(74(a,1),6947(a,1,2,2,2,2))]. given #6323 (H,wt=27): 6969 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(6956(a,1),94(a,1,2))]. given #6324 (H,wt=27): 6983 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(115,a,6979,a(flip),b,5163,a(flip))]. given #6325 (H,wt=25): 7013 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(2551,a,6983,a)]. given #6326 (H,wt=23): 7014 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(6570,a,7013,a)]. given #6327 (H,wt=27): 6989 (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). [para(6985(a,1),3823(a,1,1,2))]. given #6328 (H,wt=21): 7015 (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. [hyper(273,a,2545,a(flip),b,6989,a),flip(a)]. given #6329 (H,wt=24): 7016 ((x * y) \ 1) \ 1 != z * y | x * K(x * y,y \ (x \ 1)) = z. [para(7015(a,1),43(a,1))]. given #6330 (H,wt=27): 6998 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(62,a,5889,a(flip),b,6294,a)]. given #6331 (H,wt=27): 7006 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5928(a,1),6721(a,2,2))]. given #6332 (H,wt=25): 7018 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(273,a,7002,a(flip),b,7006,a),flip(a)]. given #6333 (H,wt=27): 7011 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [hyper(273,a,4926,a,b,7009,a)]. given #6334 (H,wt=27): 7012 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(9(a,1),6969(a,2,2,2,2,2,2))]. given #6335 (H,wt=27): 7017 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(5889(a,1),6998(a,2,1))]. given #6336 (H,wt=25): 7020 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(212,a,7017,a(flip),b,6305,a(flip)),flip(a)]. given #6337 (H,wt=23): 7022 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(22(a,2),7020(a,1,2,1,1,2)),flip(a)]. given #6338 (H,wt=23): 7023 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(273,a,5476,a,b,7022,a),flip(a)]. given #6339 (H,wt=21): 7024 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6485(a,1),7023(a,1,1,2)),flip(a)]. given #6340 (H,wt=19): 7025 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(115,a,7024,a(flip),b,6455,a(flip))]. given #6341 (H,wt=19): 7026 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(77(a,1),7025(a,1,2,1,2,1)),flip(a)]. given #6342 (H,wt=28): 5032 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5029(a,2),5017(a,1,2))]. given #6343 (H,wt=25): 7027 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(255,a,5032,a),flip(a)]. given #6344 (H,wt=28): 5219 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(5134(a,1),1304(a,1,1)),flip(a)]. given #6345 (H,wt=24): 7028 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(5215(a,1),5219(a,1,2))]. given #6346 (H,wt=23): 7029 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5969(a,1),7028(a,2,3))]. given #6347 (H,wt=22): 7030 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4288(a,1),7029(a,1,2))]. given #6348 (H,wt=28): 5245 (x * (y * z)) \ (x * (y * T(z,u))) != w | L(L(K(z,u),z,y),y * z,x) = w. [para(5163(a,2),744(a,1,2,2,2))]. given #6349 (H,wt=28): 5264 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5173(a,2),635(a,1,1))]. given #6350 (H,wt=28): 5448 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) != z | x \ T(x,y / (x * y)) = z. [para(2460(a,2),5136(a,1))]. given #6351 (H,wt=28): 5696 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(5153(a,1),20(a,2,2)),flip(a)]. given #6352 (H,wt=28): 5989 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5330(a,1),383(a,1,1))]. given #6353 (H,wt=28): 6201 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(499(a,1),6179(a,1,2,1)),flip(a)]. given #6354 (H,wt=26): 7031 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(273,a,5854,a(flip),b,6201,a),flip(a)]. given #6355 (H,wt=24): 7032 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(62,a,6178,a(flip),b,7031,a)]. given #6356 (H,wt=24): 7033 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5551(a,1),7032(a,1,1))]. given #6357 (H,wt=22): 7034 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(62,a,6845,a(flip),b,7033,a),flip(a)]. given #6358 (H,wt=28): 6376 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(5036(a,2),511(a,1))]. given #6359 (H,wt=21): 7036 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(6376,a,7011,a),flip(a)]. given #6360 (H,wt=15): 7037 (1 / x) * (y * (x / y)) = K(y,y \ x). [hyper(2708,a,7036,a)]. given #6361 (H,wt=17): 7038 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [hyper(525,a,7037,a)]. given #6362 (H,wt=20): 7039 K(x,x \ (y \ 1)) != z | y * (x * ((y \ 1) / x)) = z. [para(7037(a,1),525(a,1))]. given #6363 (H,wt=28): 6604 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(104(a,1),6568(a,1,1,1))]. given #6364 (H,wt=28): 6727 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(83(a,1),6724(a,2,2))]. given #6365 (H,wt=28): 6765 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(2911(a,2),6626(a,1))]. given #6366 (H,wt=28): 6873 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(108(a,1),6872(a,2,2))]. given #6367 (H,wt=28): 6884 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5326(a,1),871(a,1,1,1))]. given #6368 (H,wt=24): 7041 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(9(a,1),6884(a,2,1,1))]. given #6369 (H,wt=28): 6887 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5571(a,1),6883(a,1,1))]. given #6370 (H,wt=28): 6889 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5328(a,1),871(a,1,1,1))]. given #6371 (H,wt=24): 7042 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(9(a,1),6889(a,2,1,1))]. given #6372 (H,wt=28): 6937 L(x * K(y \ z,z \ y),u,w) != L(x,u,w) * v5 | K(y \ z,z \ y) = v5. [para(6935(a,2),42(a,1))]. given #6373 (H,wt=28): 7040 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(27(a,2),6604(a,1,2))]. given #6374 (H,wt=22): 7043 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(273,a,3869,a(flip),b,7040,a),flip(a)]. given #6375 (H,wt=29): 5382 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5368(a,1),1994(a,2,1,2,1))]. given #6376 (H,wt=29): 5430 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5387(a,1),444(a,1,1)),flip(a)]. given #6377 (H,wt=21): 7046 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5387(a,1),5430(a,2,2))]. given #6378 (H,wt=17): 7047 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(273,a,9,a(flip),b,7046,a),flip(a)]. given #6379 (H,wt=20): 7050 L(x,K(y,z) * u,K(z,y)) != w | L(w,u,K(y,z)) = x. [para(7047(a,1),49(a,1)),flip(a)]. given #6380 (H,wt=29): 5605 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5434(a,1),1397(a,1,2,2,1))]. given #6381 (H,wt=27): 7051 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(211(a,1),5605(a,1,2)),flip(a)]. given #6382 (H,wt=25): 7052 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5368(a,1),7051(a,1,1,2,1))]. given #6383 (H,wt=29): 5606 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5434(a,1),1934(a,1,2,2,1))]. given #6384 (H,wt=27): 7053 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(210(a,1),5606(a,1,2)),flip(a)]. given #6385 (H,wt=25): 7054 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5368(a,1),7053(a,1,1,2,1))]. given #6386 (H,wt=29): 5636 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) != w | y * K(x * L(y,z,u),y) = w. [para(1256(a,1),5211(a,1,1))]. given #6387 (H,wt=29): 6041 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(5883(a,1),1380(a,2,2,1))]. given #6388 (H,wt=25): 7055 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(9(a,1),6041(a,1,1,2,1)),flip(a)]. given #6389 (H,wt=23): 7056 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(6485(a,1),7055(a,1,2,1,2))]. given #6390 (H,wt=29): 6046 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(362(a,1),5980(a,1,2,2,1,2))]. given #6391 (H,wt=29): 6059 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(193(a,1),5732(a,2,3))]. given #6392 (H,wt=29): 6252 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6251(a,1),1669(a,2,2,1))]. given #6393 (H,wt=29): 6314 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5134(a,1),6313(a,1,2,1)),flip(a)]. given #6394 (H,wt=27): 7058 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5591(a,1),6314(a,2,1))]. given #6395 (H,wt=21): 7059 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5134(a,1),7058(a,1,1,1))]. given #6396 (H,wt=21): 7060 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(171,a,7059,a)]. given #6397 (H,wt=29): 6801 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(6800(a,1),209(a,1,2,1))]. given #6398 (H,wt=29): 6813 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). [para(27(a,2),6812(a,1,2))]. given #6399 (H,wt=29): 6898 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5825(a,1),6897(a,1,2,2,1)),flip(a)]. given #6400 (H,wt=27): 7063 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5631(a,1),6898(a,1,2,2,1,1))]. given #6401 (H,wt=23): 7064 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(5174(a,1),7063(a,1,2,2,1)),flip(a)]. given #6402 (H,wt=29): 6944 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(115,a,5203,a(flip),b,5141,a),flip(a)]. given #6403 (H,wt=29): 6987 ((x / ((y * z) \ x)) \ 1) \ 1 = (u * K(y * z,z \ (y \ 1))) / ((y * z) \ u). [para(6985(a,1),3393(a,2,1,2))]. given #6404 (H,wt=29): 7045 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(7043(a,1),3345(a,1,1))]. given #6405 (H,wt=29): 7057 T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). [para(3637(a,1),6059(a,1,1,2))]. given #6406 (H,wt=27): 7067 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3121(a,1),7057(a,1,1))]. given #6407 (H,wt=27): 7068 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5773(a,1),7067(a,1,1,1))]. given #6408 (H,wt=29): 7062 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). [para(27(a,2),6813(a,2,2))]. given #6409 (H,wt=29): 7065 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(62,a,929,a(flip),b,6944,a)]. given #6410 (H,wt=30): 5972 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4488(a,1),5400(a,2,1,1))]. given #6411 (H,wt=30): 6217 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(27(a,2),5886(a,2,2))]. given #6412 (H,wt=26): 7069 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3507(a,1),6217(a,1,2,1,1))]. given #6413 (H,wt=22): 7070 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3109(a,1),7069(a,1,2))]. given #6414 (H,wt=30): 6295 K(((x * y) / (z * y)) \ 1,u) * (z * y) != w | (K((x / z) \ 1,u) * z) * y = w. [para(5998(a,1),251(a,1,1))]. given #6415 (H,wt=30): 6535 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6455(a,2),3226(a,1,1,1)),flip(a)]. given #6416 (H,wt=27): 7071 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(62,a,5856,a(flip),b,6535,a),flip(a)]. given #6417 (H,wt=27): 7073 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1581(a,1),7071(a,1,1))]. given #6418 (H,wt=23): 7074 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(62,a,5840,a(flip),b,7073,a)]. given #6419 (H,wt=30): 6810 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6808(a,1),492(a,1,1))]. given #6420 (H,wt=25): 7075 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(62,a,6186,a(flip),b,6810,a),flip(a)]. given #6421 (H,wt=30): 6890 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(822(a,1),5483(a,1,2))]. given #6422 (H,wt=30): 6999 (x * y) * z != x * (y * K((y \ (x \ u)) \ 1,w)) | K(((x * y) \ u) \ 1,w) = z. [para(6305(a,1),42(a,1)),flip(a)]. given #6423 (H,wt=30): 7076 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1953(a,2),6890(a,1,2))]. given #6424 (H,wt=27): 7077 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(255,a,7076,a)]. given #6425 (H,wt=23): 7078 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6008(a,1),7077(a,1,2)),flip(a)]. given #6426 (H,wt=21): 7079 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5518(a,1),7078(a,2,2))]. given #6427 (H,wt=21): 7080 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(77(a,1),7079(a,1,1,2,1))]. given #6428 (H,wt=17): 7081 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(77(a,1),7080(a,2,2,1,2))]. given #6429 (H,wt=17): 7082 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(115,a,785,a(flip),b,7081,a(flip))]. given #6430 (H,wt=17): 7083 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(115,a,7081,a(flip),b,6819,a(flip))]. given #6431 (H,wt=12): 7087 L(K(x,y),y \ 1,z) = K(x,y). [hyper(62,a,5467,a(flip),b,7083,a)]. given #6432 (H,wt=16): 7088 K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). [hyper(6258,a,7087,a)]. given #6433 (H,wt=17): 7086 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(109(a,1),7082(a,2,1))]. given #6434 (H,wt=17): 7091 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(7086(a,1),4916(a,1,1)),flip(a)]. given #6435 (H,wt=19): 7090 K(x \ 1,y) != z | K(L(x,y \ 1,u) \ 1,y) = z. [para(7087(a,1),6258(a,1))]. given #6436 (H,wt=19): 7092 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(62,a,4186,a(flip),b,7091,a)]. given #6437 (H,wt=31): 4956 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(4028,a,4940,a),flip(a)]. given #6438 (H,wt=31): 5016 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(227(a,2),4955(a,2,1,2,1,2))]. given #6439 (H,wt=27): 7094 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(62,a,5472,a,b,5016,a)]. given #6440 (H,wt=27): 7095 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6157(a,1),7094(a,1,2))]. given #6441 (H,wt=27): 7096 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6764(a,1),7095(a,2,1))]. given #6442 (H,wt=25): 7097 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(5111(a,2),7096(a,2,1,1))]. given #6443 (H,wt=23): 7098 x \ K((x * ((y \ 1) / x)) \ 1,z) = K(y,z) / T(x,x \ 1). [hyper(273,a,2634,a(flip),b,7097,a),flip(a)]. given #6444 (H,wt=23): 7099 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [hyper(131,a,7098,a),flip(a)]. given #6445 (H,wt=23): 7100 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(109(a,1),7099(a,2,2,2))]. given #6446 (H,wt=31): 5171 (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = L(K(L(z,y,x),u),L(z,y,x),x * y). [para(5111(a,2),464(a,1,1)),flip(a)]. given #6447 (H,wt=28): 7102 L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))). [para(447(a,1),5171(a,1,2)),flip(a)]. given #6448 (H,wt=20): 7103 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(6562,a,7102,a),flip(a)]. given #6449 (H,wt=18): 7105 L(L(K(x,y),x,z),z * x,u) = K(L(x,z,u),y). [hyper(5245,a,7103,a)]. given #6450 (H,wt=15): 7107 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(6548(a,1),7105(a,1,1))]. given #6451 (H,wt=15): 7110 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(12(a,1),7107(a,1,2)),flip(a)]. given #6452 (H,wt=17): 7109 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(10(a,1),7107(a,1,2))]. given #6453 (H,wt=17): 7112 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(7110(a,1),5368(a,1,1)),flip(a)]. given #6454 (H,wt=15): 7118 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(273,a,6280,a(flip),b,7112,a),flip(a)]. given #6455 (H,wt=14): 7120 K(1 / L(x,y,z),x) = K(1 / x,x). [hyper(40,a,6279,a(flip),b,7118,a(flip)),flip(a)]. given #6456 (H,wt=15): 7121 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(11(a,1),7118(a,1,2,2)),flip(a)]. given #6457 (H,wt=14): 7126 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(4890,a,7121,a)]. given #6458 (H,wt=17): 7113 K(L(x \ 1,x,y),z) != u | K(x \ 1,z) = u. [para(7109(a,1),325(a,1))]. given #6459 (H,wt=16): 7127 K((x * y) \ x,z) != u | K(y \ 1,z) = u. [para(192(a,1),7113(a,1,1))]. given #6460 (H,wt=16): 7128 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(352(a,1),7113(a,1,1))]. given #6461 (H,wt=17): 7122 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(74(a,1),7118(a,1,2,2)),flip(a)]. given #6462 (H,wt=17): 7125 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(62,a,6285,a,b,7120,a)]. given #6463 (H,wt=18): 7114 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(96(a,1),7109(a,2,1))]. given #6464 (H,wt=18): 7116 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(457(a,1),7109(a,2,1))]. given #6465 (H,wt=18): 7117 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2707(a,1),7109(a,2,1))]. given #6466 (H,wt=18): 7119 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7112(a,2),6283(a,1))]. given #6467 (H,wt=18): 7123 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(98(a,1),7118(a,1,2))]. given #6468 (H,wt=18): 7130 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(96(a,1),7122(a,2,2))]. given #6469 (H,wt=15): 7142 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6562,a,7130,a),flip(a)]. given #6470 (H,wt=13): 7146 K(x,(y \ 1) \ x) = K(x,y * x). [para(153(a,1),7142(a,1,2)),flip(a)]. given #6471 (H,wt=13): 7147 K(x,(1 / y) * x) = K(x,y \ x). [para(154(a,1),7142(a,1,2))]. given #6472 (H,wt=13): 7150 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(273,a,6724,a(flip),b,7146,a),flip(a)]. given #6473 (H,wt=13): 7152 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(62,a,5719,a(flip),b,7150,a),flip(a)]. given #6474 (H,wt=15): 7144 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(10(a,1),7142(a,1,2,1)),flip(a)]. given #6475 (H,wt=17): 7148 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(7142(a,1),5163(a,2,2))]. given #6476 (H,wt=15): 7154 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(273,a,5163,a,b,7148,a),flip(a)]. given #6477 (H,wt=15): 7155 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(10(a,1),7154(a,1,2,1)),flip(a)]. given #6478 (H,wt=18): 7132 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(457(a,1),7122(a,2,2))]. given #6479 (H,wt=18): 7139 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(273,a,5675,a(flip),b,7117,a),flip(a)]. given #6480 (H,wt=18): 7143 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(7130(a,1),6562(a,1))]. given #6481 (H,wt=16): 7162 K(x,y * x) != z | K(x,(y \ 1) \ x) = z. [para(153(a,1),7143(a,1,2))]. given #6482 (H,wt=18): 7160 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(7132(a,1),6562(a,1))]. given #6483 (H,wt=19): 7135 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(7125(a,1),1860(a,1,2))]. given #6484 (H,wt=19): 7145 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(10(a,1),7142(a,1,2,2))]. given #6485 (H,wt=19): 7149 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5387(a,1),7142(a,1,2,1)),flip(a)]. given #6486 (H,wt=19): 7151 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(62,a,5658,a,b,7147,a)]. given #6487 (H,wt=19): 7157 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [hyper(4569,a,7132,a)]. given #6488 (H,wt=19): 7164 K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). [hyper(5627,a,7151,a)]. given #6489 (H,wt=20): 7111 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(273,a,18,a(flip),b,7110,a),flip(a)]. given #6490 (H,wt=18): 7166 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7111(a,2),453(a,1))]. given #6491 (H,wt=20): 7124 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(521(a,1),7118(a,1,2))]. given #6492 (H,wt=20): 7131 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(256(a,1),7122(a,2,2))]. given #6493 (H,wt=20): 7133 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3809(a,1),7122(a,2,2))]. given #6494 (H,wt=20): 7136 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(273,a,5926,a(flip),b,7114,a),flip(a)]. given #6495 (H,wt=20): 7140 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(74(a,1),7119(a,1,2,2))]. given #6496 (H,wt=20): 7170 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(273,a,5725,a(flip),b,7133,a),flip(a)]. given #6497 (H,wt=20): 7173 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(77(a,1),7170(a,1,1,2)),flip(a)]. given #6498 (H,wt=21): 7141 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(98(a,1),7119(a,1,2))]. given #6499 (H,wt=21): 7153 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(62,a,6243,a(flip),b,7144,a),flip(a)]. given #6500 (H,wt=21): 7171 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(96(a,1),7140(a,1,2))]. given #6501 (H,wt=21): 7174 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1129(a,1),7153(a,1,2)),flip(a)]. given #6502 (H,wt=22): 7115 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(412(a,1),7109(a,2,1))]. given #6503 (H,wt=22): 7159 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(7132(a,1),4569(a,1))]. given #6504 (H,wt=23): 7106 x \ (y * (z * T(u,w))) != K(L(u,z,y),w) | y * (z * u) = x. [para(7103(a,1),47(a,1)),flip(a)]. given #6505 (H,wt=23): 7138 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(7116(a,1),94(a,1,2))]. given #6506 (H,wt=23): 7158 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(7132(a,1),94(a,1,2))]. given #6507 (H,wt=21): 7177 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(64(a,1),7158(a,1,2,2)),flip(a)]. given #6508 (H,wt=21): 7178 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(33,a,7138,a,b,7177,a(flip))]. given #6509 (H,wt=23): 7172 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(256(a,1),7140(a,1,2))]. given #6510 (H,wt=24): 7167 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5419(a,1),7124(a,1,2,1,2)),flip(a)]. given #6511 (H,wt=24): 7179 (x * y) * z != x * (y * K(u,(x \ 1) \ y)) | K(u,x * y) = z. [para(7177(a,2),42(a,1)),flip(a)]. given #6512 (H,wt=25): 7137 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(14(a,2),7116(a,2,1))]. given #6513 (H,wt=20): 7182 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(18(a,2),7137(a,1,1,1,1))]. given #6514 (H,wt=25): 7169 L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(4288(a,1),7131(a,2,2,1))]. given #6515 (H,wt=25): 7180 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(10(a,1),7178(a,1,1,2)),flip(a)]. given #6516 (H,wt=21): 7183 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(10(a,1),7180(a,1,2)),flip(a)]. given #6517 (H,wt=26): 7175 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(7138(a,1),42(a,1)),flip(a)]. given #6518 (H,wt=26): 7176 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7158(a,1),42(a,1)),flip(a)]. given #6519 (H,wt=27): 7165 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [hyper(273,a,7144,a(flip),b,7164,a),flip(a)]. given #6520 (H,wt=27): 7168 L(K(x,T(y,y * z) \ (z \ u)),z \ u,z) = K(x,(L(y,z,y) * z) \ u). [para(650(a,1),7131(a,2,2,1))]. given #6521 (H,wt=30): 7181 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6746(a,2),7167(a,2,2,1))]. given #6522 (H,wt=31): 5265 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(5173(a,2),850(a,1,2,1))]. given #6523 (H,wt=31): 5970 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5969(a,1),1281(a,1,2,3))]. given #6524 (H,wt=27): 7185 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(5174(a,1),5970(a,1,1))]. given #6525 (H,wt=27): 7186 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1273,a,7185,a)]. given #6526 (H,wt=23): 7187 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(5215(a,1),7186(a,2,1))]. given #6527 (H,wt=22): 7188 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4288(a,1),7187(a,2,1))]. given #6528 (H,wt=31): 6462 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6424(a,1),875(a,1,2,1))]. given #6529 (H,wt=31): 6483 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6457(a,1),5916(a,1,2))]. given #6530 (H,wt=31): 6894 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(29(a,1),6893(a,1,1))]. given #6531 (H,wt=31): 6946 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(6945(a,1),1604(a,2,1,2))]. given #6532 (H,wt=29): 7190 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(1107(a,1),6946(a,1,2,1))]. given #6533 (H,wt=19): 7191 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(6945(a,1),7190(a,1,2)),flip(a)]. given #6534 (H,wt=19): 7192 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [hyper(171,a,7191,a)]. given #6535 (H,wt=31): 7019 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(62,a,2524,a(flip),b,7012,a)]. given #6536 (H,wt=31): 7093 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4940(a,1),4956(a,2,1))]. given #6537 (H,wt=31): 7189 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(273,a,4920,a,b,6462,a)]. given #6538 (H,wt=23): 7195 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3972(a,1),7189(a,1,1)),flip(a)]. given #6539 (H,wt=23): 7196 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7195(a,1),6483(a,1,1)),flip(a)]. given #6540 (H,wt=31): 7193 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(6969(a,1),7019(a,2,2))]. given #6541 (H,wt=29): 7197 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(66(a,1),7193(a,2,2,2,2,2,2,2))]. given #6542 (H,wt=25): 7199 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(74(a,1),7197(a,2,2,2,2,2))]. given #6543 (H,wt=25): 7201 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1804(a,2),7199(a,2,2,2))]. given #6544 (H,wt=17): 7202 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(4770,a,7201,a),flip(a)]. given #6545 (H,wt=17): 7203 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(115,a,7202,a(flip),b,1804,a(flip))]. given #6546 (H,wt=17): 7205 x * (L(x,y,z) \ (1 / x)) = 1 / L(x,y,z). [hyper(62,a,1818,a(flip),b,7203,a)]. given #6547 (H,wt=17): 7206 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(115,a,7203,a(flip),b,1818,a(flip)),flip(a)]. given #6548 (H,wt=20): 7207 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6160(a,2),7203(a,1,2))]. given #6549 (H,wt=15): 7208 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(62,a,5747,a(flip),b,7207,a)]. given #6550 (H,wt=22): 7210 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(7208(a,1),489(a,1,1))]. given #6551 (H,wt=13): 7211 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1285,a,7210,a)]. given #6552 (H,wt=13): 7212 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(171,a,7211,a)]. given #6553 (H,wt=13): 7213 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(129,a,7211,a)]. given #6554 (H,wt=21): 7215 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(7212(a,1),7092(a,2,1,1))]. given #6555 (H,wt=19): 7216 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6978(a,1),7215(a,1,1))]. given #6556 (H,wt=26): 7214 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(7212(a,1),6455(a,2,2,1))]. given #6557 (H,wt=22): 7218 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(616,a,7214,a)]. given #6558 (H,wt=22): 7219 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(25(a,2),7218(a,1,1))]. given #6559 (H,wt=22): 7220 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(122,a,7219,a)]. given #6560 (H,wt=30): 7221 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1304(a,1),7220(a,1,1))]. given #6561 (H,wt=31): 7217 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(7216(a,1),4831(a,2,1))]. given #6562 (H,wt=21): 7222 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(34,a,6309,a(flip),b,7217,a),flip(a)]. given #6563 (H,wt=32): 4372 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = (x * (x * T(T(x,y) \ y,z))) / x. [para(4104(a,1),4356(a,1,1,2)),flip(a)]. given #6564 (H,wt=30): 7223 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = ((x * T(x \ y,z)) * x) / x. [para(4711(a,1),4372(a,2,1))]. given #6565 (H,wt=26): 7224 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = x * T(x \ y,z). [hyper(273,a,11,a(flip),b,7223,a),flip(a)]. given #6566 (H,wt=29): 7225 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) != u | x * T(x \ y,z) = u. [para(7223(a,2),280(a,1))]. given #6567 (H,wt=32): 4984 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3866,a,4820,a),flip(a)]. given #6568 (H,wt=20): 7227 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4852(a,1),4984(a,1,2)),flip(a)]. given #6569 (H,wt=15): 7228 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(273,a,18,a,b,7227,a),flip(a)]. given #6570 (H,wt=13): 7231 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1544(a,1),7228(a,1,2)),flip(a)]. given #6571 (H,wt=14): 7236 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(62,a,7087,a(flip),b,7231,a),flip(a)]. given #6572 (H,wt=15): 7234 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2988(a,2),7228(a,1,2))]. given #6573 (H,wt=17): 7232 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2576(a,1),7228(a,1,2)),flip(a)]. given #6574 (H,wt=17): 7233 L(x,y / ((z \ 1) \ 1),u) = L(x,y / z,u). [para(2624(a,1),7228(a,1,2))]. given #6575 (H,wt=19): 7238 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(7236(a,1),94(a,1,2))]. given #6576 (H,wt=10): 7240 R(x,y,K(z,y \ 1)) = x. [hyper(478,a,7238,a)]. given #6577 (H,wt=10): 7242 R(x,y \ 1,K(z,y)) = x. [para(3635(a,1),7240(a,1,3))]. given #6578 (H,wt=12): 7243 R(x,y \ z,K(u,z \ y)) = x. [para(6569(a,1),7240(a,1,3))]. given #6579 (H,wt=17): 7244 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(62,a,5240,a(flip),b,7242,a)]. given #6580 (H,wt=15): 7246 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5129(a,1),7244(a,1,2))]. given #6581 (H,wt=15): 7247 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [hyper(171,a,7246,a)]. given #6582 (H,wt=18): 7248 (x / (y \ 1)) \ T(x,y) != z | T(y,x) \ 1 = z. [para(7246(a,1),290(a,1,1))]. given #6583 (H,wt=19): 7245 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7243(a,1),466(a,1,1))]. given #6584 (H,wt=21): 7239 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(2943(a,1),7233(a,1,2,2)),flip(a)]. given #6585 (H,wt=25): 7249 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7245(a,1),6995(a,1,2))]. given #6586 (H,wt=17): 7250 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(62,a,6715,a(flip),b,7249,a),flip(a)]. given #6587 (H,wt=11): 7252 T(x,(y \ z) * (z \ y)) = x. [hyper(53,a,7250,a)]. given #6588 (H,wt=11): 7255 T(x,y * ((z * y) \ z)) = x. [para(9(a,1),7252(a,1,2,1))]. given #6589 (H,wt=11): 7259 K(x,y * ((z * y) \ z)) = 1. [hyper(54,a,7255,a)]. given #6590 (H,wt=14): 7256 T(x,(y \ z) * (z \ y)) != u | x = u. [para(7252(a,1),48(a,2))]. given #6591 (H,wt=17): 7260 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(53,a,7255,a)]. given #6592 (H,wt=18): 7262 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(192(a,2),7260(a,1,1,2))]. given #6593 (H,wt=19): 7258 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(383,a,7255,a),flip(a)]. given #6594 (H,wt=22): 7261 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(7255(a,1),383(a,1))]. given #6595 (H,wt=32): 4985 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(116,a,4821,a(flip),b,104,a)]. given #6596 (H,wt=32): 5878 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(1410(a,1),5471(a,1,2,2))]. given #6597 (H,wt=25): 7264 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(584(a,1),5878(a,1,2)),flip(a)]. given #6598 (H,wt=32): 6000 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(694(a,1),5996(a,1,1,1))]. given #6599 (H,wt=30): 7265 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(6633,a,6000,a),flip(a)]. given #6600 (H,wt=28): 7267 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(273,a,5837,a(flip),b,7265,a),flip(a)]. given #6601 (H,wt=26): 7268 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(6633,a,7267,a)]. given #6602 (H,wt=24): 7269 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5977,a,7268,a)]. given #6603 (H,wt=32): 6212 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5315(a,2),5769(a,2,2))]. given #6604 (H,wt=28): 7271 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1424(a,1),6212(a,1,2))]. given #6605 (H,wt=24): 7272 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(9(a,1),7271(a,1,2,1,2,1))]. given #6606 (H,wt=32): 6713 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [hyper(62,a,5588,a,b,6558,a)]. given #6607 (H,wt=32): 6984 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(14(a,2),6979(a,1,1))]. given #6608 (H,wt=27): 7274 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(18(a,2),6984(a,1,2,2))]. given #6609 (H,wt=20): 7275 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(14(a,2),7274(a,2,1,1))]. given #6610 (H,wt=25): 7276 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [hyper(115,a,7275,a(flip),b,5163,a(flip)),flip(a)]. given #6611 (H,wt=23): 7277 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(7276(a,2),2556(a,1,2))]. given #6612 (H,wt=32): 7008 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(226(a,1),6820(a,1,2))]. given #6613 (H,wt=19): 7278 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(62,a,5579,a(flip),b,7008,a),flip(a)]. given #6614 (H,wt=17): 7280 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [hyper(62,a,7007,a(flip),b,7278,a)]. given #6615 (H,wt=16): 7281 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(226(a,1),7280(a,1,2,2))]. given #6616 (H,wt=32): 7021 (x * y) * K(((x * y) \ (z * y)) \ 1,u) != y * w | T(x * K((x \ z) \ 1,u),y) = w. [para(7017(a,2),213(a,2)),flip(a)]. given #6617 (H,wt=32): 7156 R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). [para(7155(a,1),5967(a,1,2,1,1))]. given #6618 (H,wt=25): 7282 K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). [hyper(62,a,5967,a(flip),b,7156,a),flip(a)]. given #6619 (H,wt=23): 7283 K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). [para(64(a,1),7282(a,2,1))]. given #6620 (H,wt=32): 7263 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3845(a,1),4985(a,1,2))]. given #6621 (H,wt=32): 7273 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(6827(a,1),6713(a,1,1))]. given #6622 (H,wt=32): 7284 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(62,a,4813,a(flip),b,7263,a)]. given #6623 (H,wt=27): 7285 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3882(a,1),7284(a,1,2))]. given #6624 (H,wt=15): 7286 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(62,a,3886,a(flip),b,7285,a),flip(a)]. given #6625 (H,wt=13): 7288 R(x,1 / y,z) = R(x,y \ 1,z). [para(701(a,1),7286(a,1,2)),flip(a)]. given #6626 (H,wt=13): 7289 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1544(a,1),7286(a,1,2)),flip(a)]. given #6627 (H,wt=22): 7293 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(7289(a,1),104(a,1,1))]. given #6628 (H,wt=24): 7292 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7288(a,1),3679(a,1,2))]. given #6629 (H,wt=24): 7296 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2741(a,1),7292(a,1,2,1))]. given #6630 (H,wt=25): 7295 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(7293(a,1),43(a,1))]. given #6631 (H,wt=26): 7297 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4133(a,1),7296(a,1,2,1)),flip(a)]. given #6632 (H,wt=33): 4426 (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,T(y,x) * (z \ 1))) = T(y,T(y,x) * (z \ 1)). [para(1678(a,1),4256(a,1,1,2))]. given #6633 (H,wt=31): 7298 (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,z \ T(y,x))) = T(y,T(y,x) * (z \ 1)). [para(4549(a,1),4426(a,1,2))]. given #6634 (H,wt=17): 7299 T(x,T(x,y) * (z \ 1)) = T(x,z \ T(x,y)). [hyper(62,a,4256,a(flip),b,7298,a),flip(a)]. given #6635 (H,wt=17): 7301 T(x,T(x,y) * (1 / z)) = T(x,z \ T(x,y)). [hyper(62,a,4779,a,b,7299,a)]. given #6636 (H,wt=33): 4458 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4234(a,1),203(a,1,1,2))]. given #6637 (H,wt=31): 7303 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1067(a,1),4458(a,1,1))]. given #6638 (H,wt=29): 7304 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1094(a,1),7303(a,1,2))]. given #6639 (H,wt=19): 7305 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(636,a,7304,a),flip(a)]. given #6640 (H,wt=22): 7306 a(x,T(y,x),R(T(x,y),z,u)) != w | a(R(x,z,u),y,x) = w. [para(7304(a,1),636(a,1))]. given #6641 (H,wt=25): 7307 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(62,a,4667,a,b,7305,a)]. given #6642 (H,wt=23): 7308 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4209(a,1),7307(a,1,1))]. given #6643 (H,wt=33): 5344 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(5154(a,2),1217(a,1,2)),flip(a)]. given #6644 (H,wt=29): 7309 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(5154(a,2),5344(a,1,2,1,2,2))]. given #6645 (H,wt=27): 7310 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(62,a,2172,a(flip),b,7309,a)]. given #6646 (H,wt=25): 7311 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(108(a,1),7310(a,1,1,2))]. given #6647 (H,wt=23): 7312 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4934(a,1),7311(a,1,1))]. given #6648 (H,wt=19): 7313 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(332,a,7312,a),flip(a)]. given #6649 (H,wt=25): 7315 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7313(a,1),6943(a,1,1))]. given #6650 (H,wt=17): 7316 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(332,a,7315,a)]. given #6651 (H,wt=15): 7317 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6478,a,7316,a)]. given #6652 (H,wt=13): 7319 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(33,a,260,a,b,7317,a),flip(a)]. given #6653 (H,wt=17): 7321 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(7319(a,1),5915(a,1,1,1,2))]. given #6654 (H,wt=15): 7323 T(x / (x / y),z) \ x = x / T(y,z). [para(5063(a,2),7321(a,1,1,1))]. given #6655 (H,wt=15): 7324 x / T(y \ x,z) = T(x / y,z) \ x. [para(5075(a,1),7321(a,1,1,1)),flip(a)]. given #6656 (H,wt=15): 7326 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(176,a,7323,a)]. given #6657 (H,wt=15): 7329 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(171,a,7324,a)]. given #6658 (H,wt=15): 7334 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [para(74(a,1),7329(a,1,1,1,1)),flip(a)]. given #6659 (H,wt=17): 7336 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(110(a,1),7334(a,2,1,1))]. given #6660 (H,wt=18): 7333 T(x \ y,z) != u \ y | T(y / x,z) \ y = u. [para(7329(a,1),47(a,1))]. given #6661 (H,wt=19): 7339 (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). [para(7336(a,1),108(a,1,2)),flip(a)]. given #6662 (H,wt=23): 7340 (x \ y) * ((((x \ y) \ y) \ z) \ z) = ((x \ z) \ z) * (x \ y). [para(74(a,1),7339(a,1,1,1,1)),flip(a)]. given #6663 (H,wt=23): 7342 T(x,x \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). [hyper(273,a,270,a,b,7340,a)]. given #6664 (H,wt=15): 7344 T(x,((x \ y) \ y) \ z) = T(x,x \ z). [hyper(34,a,862,a,b,7342,a)]. given #6665 (H,wt=13): 7347 T(x,T(x,y) \ z) = T(x,x \ z). [para(4245(a,2),7344(a,1,2,1))]. given #6666 (H,wt=13): 7352 T(x,x \ (T(x,y) * z)) = T(x,z). [para(9(a,1),7347(a,1,2)),flip(a)]. given #6667 (H,wt=11): 7354 T(x,K(x,y) * z) = T(x,z). [para(5487(a,1),7352(a,1,2))]. given #6668 (H,wt=11): 7356 T(x,K(y,x) * z) = T(x,z). [para(5387(a,1),7354(a,1,2)),flip(a)]. given #6669 (H,wt=13): 7358 T(x,T(y,x) * z) = T(x,y * z). [para(5142(a,1),7354(a,1,2)),flip(a)]. given #6670 (H,wt=13): 7359 T(x,T(x,y) * z) = T(x,x * z). [para(5178(a,1),7354(a,1,2))]. given #6671 (H,wt=13): 7360 T(x,T(y,x) \ z) = T(x,y \ z). [para(5518(a,1),7354(a,1,2))]. given #6672 (H,wt=13): 7367 T(x,x * (T(x,y) \ z)) = T(x,z). [para(5141(a,2),7356(a,1,2))]. given #6673 (H,wt=13): 7368 T(x,y * T(z,x)) = T(x,y * z). [para(5891(a,1),7356(a,1,2))]. given #6674 (H,wt=13): 7374 T(x,(T(x,y) \ z) * x) = T(x,z). [hyper(62,a,4300,a,b,7367,a)]. given #6675 (H,wt=15): 7364 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5898(a,1),7354(a,1,2)),flip(a)]. given #6676 (H,wt=15): 7372 T(x,y \ T(x,z)) = T(x,x * (1 / y)). [hyper(62,a,7301,a(flip),b,7359,a)]. given #6677 (H,wt=13): 7377 T(x,y \ T(x,z)) = T(x,y \ x). [hyper(273,a,4310,a(flip),b,7372,a),flip(a)]. given #6678 (H,wt=15): 7373 T(x,T(y,x) \ z) = x * K(x,y \ z). [hyper(273,a,5163,a(flip),b,7360,a),flip(a)]. given #6679 (H,wt=13): 7378 K(x,T(y,x) \ z) = K(x,y \ z). [hyper(5238,a,7373,a)]. given #6680 (H,wt=15): 7381 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(110(a,1),7378(a,1,2,1)),flip(a)]. given #6681 (H,wt=16): 7380 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(7373(a,2),5167(a,1))]. given #6682 (H,wt=17): 7353 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(7352(a,1),4085(a,1,2))]. given #6683 (H,wt=18): 7382 T(x,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. [para(110(a,1),7380(a,1,2,1))]. given #6684 (H,wt=22): 7355 L(x,y,K(x,z)) * (K(x,z) * y) = K(x,z) * (y * T(x,y)). [para(7354(a,1),576(a,1,2,2)),flip(a)]. given #6685 (H,wt=20): 7383 L(x,y,K(x,z)) * (K(x,z) * y) = K(x,z) * (x * y). [para(108(a,1),7355(a,2,2))]. given #6686 (H,wt=8): 7384 L(x,y,K(x,z)) = x. [hyper(34,a,5539,a(flip),b,7383,a),flip(a)]. given #6687 (H,wt=8): 7385 L(x,y,K(z,x)) = x. [hyper(7050,a,7384,a)]. given #6688 (H,wt=11): 7386 L(x,y,K(R(x,z,u),w)) = x. [hyper(141,a,7384,a(flip))]. given #6689 (H,wt=11): 7396 L(x,y,K(z,L(x,u,w))) = x. [hyper(139,a,7385,a)]. given #6690 (H,wt=12): 7394 L(K(x,y),z,K(x,u)) = K(x,y). [para(7384(a,1),7110(a,1,1)),flip(a)]. given #6691 (H,wt=12): 7395 L(K(x,y),z,K(y,u)) = K(x,y). [para(7384(a,1),7118(a,1,2)),flip(a)]. given #6692 (H,wt=12): 7403 L(K(x,y),z,K(u,x)) = K(x,y). [para(7385(a,1),7110(a,1,1)),flip(a)]. given #6693 (H,wt=12): 7404 L(K(x,y),z,K(u,y)) = K(x,y). [para(7385(a,1),7118(a,1,2)),flip(a)]. given #6694 (H,wt=12): 7408 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(62,a,7121,a(flip),b,7394,a)]. given #6695 (H,wt=12): 7417 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(62,a,7121,a(flip),b,7403,a)]. given #6696 (H,wt=12): 7418 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(62,a,7107,a(flip),b,7404,a)]. given #6697 (H,wt=13): 7407 T(x / (x / K(y,z)),x) = K(y,z). [hyper(62,a,4391,a,b,7394,a)]. given #6698 (H,wt=13): 7412 x / T(K(y,z),x) = K(y,z) \ x. [para(7394(a,1),6086(a,1,1)),flip(a)]. given #6699 (H,wt=13): 7423 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(171,a,7412,a)]. given #6700 (H,wt=13): 7425 (K(x,y) * z) \ z = T(K(y,x),z). [para(5388(a,1),7423(a,1,1))]. given #6701 (H,wt=13): 7426 (K(x,y) * z) * T(K(y,x),z) = z. [hyper(131,a,7425,a)]. given #6702 (H,wt=15): 7387 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7384(a,1),94(a,1,2))]. given #6703 (H,wt=10): 7428 R(K(x,y),z,x) = K(x,y). [hyper(7295,a,7387,a)]. given #6704 (H,wt=10): 7431 K(R(x,y,x),z) = K(x,z). [hyper(62,a,6845,a(flip),b,7428,a)]. given #6705 (H,wt=10): 7432 K(x,R(y,z,x)) = K(x,y). [hyper(62,a,6191,a(flip),b,7428,a)]. given #6706 (H,wt=12): 7437 x * K(R(x,y,x),z) = T(x,z). [para(7431(a,2),5163(a,2,2)),flip(a)]. given #6707 (H,wt=12): 7438 K(x,R(y,z,y)) = 1 / K(y,x). [para(7431(a,1),5370(a,1,2)),flip(a)]. given #6708 (H,wt=10): 7443 K(x,R(y,z,y)) = K(x,y). [hyper(273,a,5370,a(flip),b,7438,a),flip(a)]. given #6709 (H,wt=12): 7440 T(x,R(y,z,x)) = x * K(x,y). [para(7432(a,1),5163(a,2,2))]. given #6710 (H,wt=10): 7448 T(x,R(y,z,x)) = T(x,y). [hyper(273,a,5163,a,b,7440,a),flip(a)]. given #6711 (H,wt=13): 7433 K((x \ y) \ T(y,x),z) = K(x,z). [para(4320(a,1),7431(a,1,1))]. given #6712 (H,wt=13): 7434 K(T(x,x * y),z) = K(T(x,y),z). [para(4375(a,1),7431(a,1,1)),flip(a)]. given #6713 (H,wt=13): 7435 K(T(x,x \ y),z) = K(T(x,y),z). [para(4428(a,1),7431(a,1,1))]. given #6714 (H,wt=13): 7444 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7438(a,2),5376(a,1))]. given #6715 (H,wt=13): 7445 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4375(a,1),7443(a,1,2)),flip(a)]. given #6716 (H,wt=13): 7446 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4428(a,1),7443(a,1,2))]. given #6717 (H,wt=11): 7460 K(x,T(y,z)) = T(K(x,y),z). [hyper(62,a,6655,a(flip),b,7446,a),flip(a)]. given #6718 (H,wt=11): 7471 K(x,T(y,T(x,z))) = K(x,y). [hyper(273,a,3159,a(flip),b,7460,a),flip(a)]. given #6719 (H,wt=11): 7472 K(x,T(y,K(z,x))) = K(x,y). [hyper(273,a,2223,a(flip),b,7460,a),flip(a)]. given #6720 (H,wt=11): 7473 K(x,T(y,x \ 1)) = K(x,y). [hyper(273,a,1539,a(flip),b,7460,a),flip(a)]. given #6721 (H,wt=11): 7481 T(K(x,y),K(z,y)) = K(x,y). [para(3203(a,1),7460(a,1,2)),flip(a)]. given #6722 (H,wt=12): 7470 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(273,a,3176,a(flip),b,7460,a),flip(a)]. given #6723 (H,wt=13): 7453 K(T(x,y * x),z) = K(T(x,y),z). [para(4300(a,2),7434(a,1,1))]. given #6724 (H,wt=13): 7454 K((x \ y) \ y,z) = K(T(x,y),z). [para(109(a,1),7435(a,1,1))]. given #6725 (H,wt=11): 7498 K(T(x,y),z) = T(K(x,z),y). [hyper(62,a,6523,a(flip),b,7454,a),flip(a)]. given #6726 (H,wt=11): 7501 K(T(x,y),z) = K(x,T(z,y)). [hyper(273,a,7460,a,b,7498,a),flip(a)]. given #6727 (H,wt=10): 7532 R(x,y,K(T(y,z),u)) = x. [para(7501(a,2),6547(a,1,3))]. given #6728 (H,wt=11): 7503 K(T(x,K(y,z)),y) = K(x,y). [hyper(273,a,2224,a(flip),b,7498,a),flip(a)]. given #6729 (H,wt=11): 7504 K(T(x,y \ 1),y) = K(x,y). [hyper(273,a,2151,a(flip),b,7498,a),flip(a)]. given #6730 (H,wt=11): 7507 T(K(x,y),K(x,z)) = K(x,y). [para(3144(a,1),7498(a,1,1)),flip(a)]. given #6731 (H,wt=11): 7522 K(x,T(y,K(x,z))) = K(x,y). [para(3144(a,1),7501(a,1,1)),flip(a)]. given #6732 (H,wt=12): 7517 K(T(x,R(y,z,u)),y) = K(x,y). [para(159(a,1),7501(a,2,2))]. given #6733 (H,wt=12): 7533 R(x,y \ 1,K(z,T(y,u))) = x. [para(7501(a,1),7242(a,1,3))]. given #6734 (H,wt=12): 7536 R(x,(y * z) / y,K(z,u)) = x. [para(198(a,1),7532(a,1,3,1))]. given #6735 (H,wt=13): 7455 K(T(x / (x / y),x),z) = K(y,z). [para(306(a,1),7435(a,1,1)),flip(a)]. given #6736 (H,wt=13): 7459 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4300(a,2),7445(a,1,2))]. given #6737 (H,wt=13): 7461 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(109(a,1),7446(a,1,2))]. given #6738 (H,wt=13): 7462 K(x,T(y / z,y)) = K(x,z \ y). [para(592(a,1),7446(a,1,2)),flip(a)]. given #6739 (H,wt=13): 7463 T(K(x * y,x),y) = K(x * y,x). [hyper(6221,a,7460,a),flip(a)]. given #6740 (H,wt=13): 7464 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(273,a,7425,a,b,7460,a)]. given #6741 (H,wt=13): 7465 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(273,a,6523,a,b,7460,a)]. given #6742 (H,wt=13): 7469 K(x / y,T(z,x)) = K(y \ x,z). [hyper(273,a,6524,a(flip),b,7460,a),flip(a)]. given #6743 (H,wt=13): 7474 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(62,a,6655,a(flip),b,7460,a),flip(a)]. given #6744 (H,wt=13): 7476 x * K(y,T(z,x)) = K(y,z) * x. [para(7460(a,2),108(a,1,2))]. given #6745 (H,wt=13): 7482 x * T(K(x,y),z) = T(x,T(y,z)). [para(7460(a,1),5163(a,2,2)),flip(a)]. given #6746 (H,wt=13): 7485 x / K(y,T(z,x)) = K(y,z) \ x. [para(7460(a,2),7412(a,1,2))]. given #6747 (H,wt=13): 7486 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7460(a,2),7426(a,1,2))]. given #6748 (H,wt=13): 7490 T(x,T(y,T(x,z))) = x * K(x,y). [para(7471(a,1),5163(a,2,2))]. given #6749 (H,wt=11): 7572 T(x,T(y,T(x,z))) = T(x,y). [hyper(273,a,5163,a,b,7490,a),flip(a)]. given #6750 (H,wt=13): 7502 K(T(x,y),y / z) = K(x,z \ y). [hyper(273,a,6647,a(flip),b,7498,a),flip(a)]. given #6751 (H,wt=13): 7505 x * K(T(y,x),z) = K(y,z) * x. [para(7498(a,2),108(a,1,2))]. given #6752 (H,wt=13): 7509 (K(x,y) * z) * K(T(y,z),x) = z. [para(7498(a,2),7426(a,1,2))]. given #6753 (H,wt=13): 7510 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5445,a,7501,a)]. given #6754 (H,wt=13): 7511 K(T(x * y,x),y) = K(x * y,y). [hyper(273,a,5554,a(flip),b,7501,a),flip(a)]. given #6755 (H,wt=13): 7513 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(62,a,7434,a(flip),b,7501,a),flip(a)]. given #6756 (H,wt=13): 7518 K(x / y,T(z,y)) = K(y \ x,z). [para(110(a,1),7501(a,1,1)),flip(a)]. given #6757 (H,wt=13): 7519 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(183(a,1),7501(a,1,1)),flip(a)]. given #6758 (H,wt=13): 7528 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5601(a,1),7501(a,1,1)),flip(a)]. given #6759 (H,wt=13): 7560 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(273,a,5388,a,b,7476,a),flip(a)]. given #6760 (H,wt=13): 7564 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5423,a,7476,a(flip))]. given #6761 (H,wt=13): 7584 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(273,a,7501,a(flip),b,7513,a),flip(a)]. given #6762 (H,wt=13): 7593 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(10(a,1),7584(a,1,2,2)),flip(a)]. given #6763 (H,wt=14): 7441 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6191(a,1),7432(a,1,2))]. given #6764 (H,wt=14): 7508 T(K(x,y),x \ 1) != z | K(x,y) = z. [para(7498(a,1),6545(a,1))]. given #6765 (H,wt=14): 7520 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(187(a,1),7501(a,1,1)),flip(a)]. given #6766 (H,wt=14): 7542 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5134(a,1),7533(a,1,3,2))]. given #6767 (H,wt=12): 7597 R(x,y \ K(y,z),K(u,y)) = x. [para(5386(a,1),7542(a,1,2))]. given #6768 (H,wt=14): 7558 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(7474(a,2),180(a,1)),flip(b)]. given #6769 (H,wt=14): 7573 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(7490(a,2),5167(a,1))]. given #6770 (H,wt=14): 7583 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7510(a,1),5392(a,1))]. given #6771 (H,wt=14): 7600 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7460(a,1),7583(a,1))]. given #6772 (H,wt=15): 7411 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(7394(a,1),4359(a,1,1,1))]. given #6773 (H,wt=15): 7424 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(7412(a,1),4220(a,1,1))]. given #6774 (H,wt=15): 7427 x * ((K(y,z) * x) \ x) = K(z,y) * x. [para(7425(a,2),108(a,1,2))]. given #6775 (H,wt=15): 7436 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7431(a,1),5163(a,2,2)),flip(a)]. given #6776 (H,wt=15): 7439 x * K(R(x,y,x),z) != u | T(x,z) = u. [para(7431(a,2),5167(a,1,2))]. given #6777 (H,wt=15): 7457 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1678(a,1),7445(a,1,2)),flip(a)]. given #6778 (H,wt=15): 7467 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(273,a,6149,a,b,7460,a)]. given #6779 (H,wt=15): 7468 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(273,a,6024,a,b,7460,a),flip(a)]. given #6780 (H,wt=15): 7475 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(23(a,1),7460(a,1,2))]. given #6781 (H,wt=15): 7487 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7460(a,2),7460(a,1,2))]. given #6782 (H,wt=15): 7488 K(x,y / T(x,z)) = K(x,T(x,z) \ y). [para(110(a,1),7471(a,1,2)),flip(a)]. given #6783 (H,wt=15): 7492 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(6674(a,1),7473(a,1,2))]. given #6784 (H,wt=15): 7493 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(115,a,7481,a(flip),b,5418,a)]. given #6785 (H,wt=15): 7494 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(7481(a,1),108(a,1,2))]. given #6786 (H,wt=15): 7514 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(23(a,1),7501(a,2,2))]. given #6787 (H,wt=15): 7521 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(1540(a,1),7501(a,1,1)),flip(a)]. given #6788 (H,wt=15): 7524 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7501(a,1),5173(a,2,1)),flip(a)]. given #6789 (H,wt=15): 7525 1 / (x \ K(y,T(x,z))) = T(x,T(y,z)). [para(7501(a,1),5201(a,2,2,2)),flip(a)]. given #6790 (H,wt=15): 7526 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7501(a,1),5388(a,1,1))]. given #6791 (H,wt=15): 7531 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7501(a,1),5248(a,1,1))]. given #6792 (H,wt=15): 7534 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7354(a,1),7501(a,1,1)),flip(a)]. given #6793 (H,wt=15): 7538 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(7507(a,1),108(a,1,2))]. given #6794 (H,wt=15): 7540 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [para(7507(a,1),7426(a,1,2))]. given #6795 (H,wt=15): 7541 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7498(a,2),7522(a,1,2))]. given #6796 (H,wt=15): 7547 K(x * y,x) * y = y * K(x * y,x). [para(7463(a,1),108(a,1,2)),flip(a)]. given #6797 (H,wt=15): 7548 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(7212(a,1),7465(a,1,1)),flip(a)]. given #6798 (H,wt=15): 7551 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7469(a,1),4167(a,1,3))]. given #6799 (H,wt=15): 7559 T(x,y) \ (x * z) = z * K(y,T(x,z)). [hyper(273,a,5517,a,b,7476,a)]. given #6800 (H,wt=15): 7562 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(115,a,7476,a,b,5141,a)]. given #6801 (H,wt=15): 7567 K(x,y / z) * z = z * K(x,z \ y). [para(110(a,1),7476(a,1,2,2)),flip(a)]. given #6802 (H,wt=15): 7571 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(6031,a,7482,a),flip(a)]. given #6803 (H,wt=15): 7582 K(x / y,z) * y = y * K(y \ x,z). [para(110(a,1),7505(a,1,2,1)),flip(a)]. given #6804 (H,wt=15): 7586 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(62,a,5845,a(flip),b,7518,a),flip(a)]. given #6805 (H,wt=15): 7591 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7519(a,1),5173(a,2,1))]. given #6806 (H,wt=13): 7626 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(273,a,5173,a,b,7591,a),flip(a)]. given #6807 (H,wt=15): 7604 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5387(a,1),7411(a,1,1)),flip(a)]. given #6808 (H,wt=15): 7606 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(273,a,27,a,b,7436,a),flip(a)]. given #6809 (H,wt=15): 7612 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5763,a,7524,a)]. given #6810 (H,wt=15): 7614 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(273,a,7501,a(flip),b,7534,a),flip(a)]. given #6811 (H,wt=13): 7632 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(5127(a,1),7614(a,1,2,2)),flip(a)]. given #6812 (H,wt=15): 7625 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(273,a,7467,a,b,7586,a)]. given #6813 (H,wt=15): 7633 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(5204(a,1),7614(a,1,2,2))]. given #6814 (H,wt=13): 7640 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(273,a,7593,a(flip),b,7633,a),flip(a)]. given #6815 (H,wt=13): 7642 K(x,T(y,z * x)) = K(x,T(y,z)). [para(11(a,1),7640(a,1,2,2)),flip(a)]. given #6816 (H,wt=15): 7634 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [para(5274(a,1),7614(a,1,2,2)),flip(a)]. given #6817 (H,wt=15): 7639 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(6697,a,7625,a)]. given #6818 (H,wt=15): 7644 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4437(a,1),7640(a,1,2))]. given #6819 (H,wt=16): 7409 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7394(a,1),25(a,2,1))]. given #6820 (H,wt=16): 7421 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7418(a,1),5283(a,2,1,1))]. given #6821 (H,wt=12): 7650 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(273,a,5283,a,b,7421,a),flip(a)]. given #6822 (H,wt=16): 7422 T(x,y) != K(z,u) | y / (y / K(z,u)) = x. [para(7407(a,1),48(a,1)),flip(a)]. given #6823 (H,wt=16): 7456 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4428(a,1),7444(a,1,2))]. given #6824 (H,wt=14): 7653 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6655(a,1),7456(a,1))]. given #6825 (H,wt=14): 7655 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7498(a,2),7653(a,1))]. given #6826 (H,wt=16): 7477 x * K(y,T(z,x)) != u * x | K(y,z) = u. [para(7460(a,2),214(a,1,2))]. given #6827 (H,wt=16): 7478 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7460(a,2),252(a,1,2))]. given #6828 (H,wt=16): 7506 x * K(T(y,x),z) != u * x | K(y,z) = u. [para(7498(a,2),214(a,1,2))]. given #6829 (H,wt=16): 7527 1 / K(x,T(y,z)) != u | K(y,T(x,z)) = u. [para(7501(a,1),5376(a,1,2))]. given #6830 (H,wt=16): 7544 K(x * y,T(y,x)) != z | K(x * y,y) = z. [para(7459(a,1),5385(a,1))]. given #6831 (H,wt=14): 7662 K(x * y,x) != z | K(y * x,x) = z. [para(4486(a,1),7544(a,1))]. given #6832 (H,wt=16): 7566 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7476(a,1),42(a,1))]. given #6833 (H,wt=16): 7581 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2148,a,7505,a),flip(a)]. given #6834 (H,wt=16): 7598 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6677(a,2),7558(a,1))]. given #6835 (H,wt=16): 7608 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(160(a,1),7467(a,1,1,1)),flip(a)]. given #6836 (H,wt=16): 7657 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7513(a,2),7655(a,1))]. given #6837 (H,wt=16): 7663 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(5771(a,2),7662(a,1))]. given #6838 (H,wt=17): 7447 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7443(a,1),5822(a,1,2)),flip(a)]. given #6839 (H,wt=17): 7495 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(110(a,1),7470(a,1,2)),flip(a)]. given #6840 (H,wt=17): 7515 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(25(a,2),7501(a,1,1))]. given #6841 (H,wt=17): 7516 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(27(a,2),7501(a,1,1))]. given #6842 (H,wt=17): 7561 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(273,a,5518,a(flip),b,7476,a),flip(a)]. given #6843 (H,wt=15): 7669 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(7446(a,1),7561(a,1,2))]. given #6844 (H,wt=17): 7563 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(33,a,6035,a(flip),b,7476,a),flip(a)]. given #6845 (H,wt=17): 7570 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7460(a,2),7476(a,1,2,2))]. given #6846 (H,wt=17): 7575 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(217(a,1),7572(a,1,2,2))]. given #6847 (H,wt=17): 7576 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(5134(a,1),7572(a,1,2,2))]. given #6848 (H,wt=17): 7580 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7502(a,1),5173(a,2,1)),flip(a)]. given #6849 (H,wt=17): 7587 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(160(a,1),7518(a,1,2))]. given #6850 (H,wt=17): 7588 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7518(a,1),5173(a,2,1)),flip(a)]. given #6851 (H,wt=17): 7594 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(110(a,1),7584(a,1,2)),flip(a)]. given #6852 (H,wt=17): 7607 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6674(a,1),7457(a,1,2)),flip(a)]. given #6853 (H,wt=17): 7610 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(62,a,5179,a,b,7493,a)]. given #6854 (H,wt=17): 7615 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5610,a,7538,a)]. given #6855 (H,wt=17): 7619 x \ (((y * x) / y) * z) = z * K(y,T(x,z)). [hyper(62,a,4643,a,b,7559,a)]. given #6856 (H,wt=17): 7620 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [hyper(34,a,3152,a(flip),b,7567,a),flip(a)]. given #6857 (H,wt=16): 7679 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [hyper(62,a,7281,a(flip),b,7620,a),flip(a)]. given #6858 (H,wt=17): 7622 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5854(a,2),7567(a,1,1))]. given #6859 (H,wt=17): 7623 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5860(a,1),7567(a,1,1)),flip(a)]. given #6860 (H,wt=15): 7682 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(33,a,7476,a,b,7623,a)]. given #6861 (H,wt=17): 7628 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(115,a,7606,a(flip),b,5503,a)]. given #6862 (H,wt=17): 7635 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5518(a,1),7614(a,1,2,2))]. given #6863 (H,wt=17): 7645 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4439(a,1),7640(a,1,2))]. given #6864 (H,wt=17): 7646 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7642(a,1),7476(a,1,2))]. given #6865 (H,wt=17): 7649 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(6674(a,1),7644(a,1,2)),flip(a)]. given #6866 (H,wt=17): 7661 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(7527,a,6806,a(flip)),flip(a)]. given #6867 (H,wt=17): 7665 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(273,a,3212,a(flip),b,7447,a),flip(a)]. given #6868 (H,wt=17): 7674 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7155(a,1),7607(a,1,2))]. given #6869 (H,wt=17): 7675 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(62,a,5306,a,b,7610,a)]. given #6870 (H,wt=17): 7684 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(7460(a,1),7646(a,1,2))]. given #6871 (H,wt=13): 7687 T(K(x,y),z * x) = T(K(x,y),z). [hyper(213,a,7684,a)]. given #6872 (H,wt=13): 7688 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(273,a,3231,a(flip),b,7687,a),flip(a)]. given #6873 (H,wt=18): 7389 K(x,y) * z != (K(x,y) * u) * x | u * x = z. [para(7384(a,1),451(a,1,2)),flip(a)]. given #6874 (H,wt=18): 7420 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(30(a,1),7417(a,1,2))]. given #6875 (H,wt=18): 7529 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. [para(7501(a,1),5288(a,1,2,2))]. given #6876 (H,wt=18): 7530 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7501(a,1),5427(a,1,1))]. given #6877 (H,wt=18): 7539 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(7507(a,1),252(a,1,2))]. given #6878 (H,wt=18): 7602 T(x,K(y,z)) != u * K(y,z) | K(y,z) * u = x. [para(7411(a,1),48(a,1)),flip(a)]. given #6879 (H,wt=18): 7609 K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. [para(7468(a,2),6624(a,1))]. given #6880 (H,wt=15): 7691 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(7609,a,7682,a)]. given #6881 (H,wt=18): 7613 T(T(x,y),z) != K(x,y) * u | T(x,T(z,y)) = u. [para(7524(a,1),5786(a,1))]. given #6882 (H,wt=18): 7621 x * K(y,x \ z) != u * x | K(y,z / x) = u. [para(7567(a,1),43(a,1))]. given #6883 (H,wt=18): 7624 x * K(x \ y,z) != u * x | K(y / x,z) = u. [para(7582(a,1),43(a,1))]. given #6884 (H,wt=18): 7636 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(6176(a,1),7614(a,1,2,2,1))]. given #6885 (H,wt=18): 7652 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. [para(4172(a,1),7456(a,1,2))]. given #6886 (H,wt=18): 7654 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(6024(a,2),7653(a,1))]. given #6887 (H,wt=18): 7658 K(x,T(y,K(x,z) * u)) != w | K(x,T(y,u)) = w. [para(7534(a,2),7655(a,1))]. given #6888 (H,wt=18): 7690 x * K(y,1 / y) != z | K(y,1 / y) * x = z. [para(2996(a,1),7602(a,1)),flip(a)]. given #6889 (H,wt=19): 7406 K(x,L(y,z,u)) * (x / y) = T(x,L(y,z,u)) / y. [para(7396(a,1),5259(a,1,2)),flip(a)]. given #6890 (H,wt=19): 7410 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7394(a,1),94(a,1,2))]. given #6891 (H,wt=19): 7413 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(7395(a,1),94(a,1,2))]. given #6892 (H,wt=19): 7419 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7404(a,1),94(a,1,2))]. given #6893 (H,wt=19): 7442 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(115,a,7437,a(flip),b,6930,a),flip(a)]. given #6894 (H,wt=19): 7449 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(692(a,1),7448(a,1,2))]. given #6895 (H,wt=19): 7466 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(273,a,6196,a,b,7460,a)]. given #6896 (H,wt=19): 7484 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(7118(a,1),7460(a,2,1))]. given #6897 (H,wt=19): 7489 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(7471(a,2),3210(a,1,2))]. given #6898 (H,wt=19): 7491 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [para(7471(a,1),5571(a,1,2)),flip(a)]. given #6899 (H,wt=19): 7565 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(25(a,2),7476(a,1,2,2))]. given #6900 (H,wt=19): 7569 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(5601(a,1),7476(a,1,2,2))]. given #6901 (H,wt=19): 7585 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(6661,a,7518,a)]. given #6902 (H,wt=19): 7601 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7411(a,1),23(a,1,1)),flip(a)]. given #6903 (H,wt=19): 7611 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(7521(a,1),5246(a,1,2)),flip(a)]. given #6904 (H,wt=15): 7699 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(273,a,5246,a(flip),b,7611,a),flip(a)]. given #6905 (H,wt=19): 7627 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5134(a,1),7626(a,1,2,2,1))]. given #6906 (H,wt=19): 7629 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(7606(a,1),4416(a,1,1)),flip(a)]. given #6907 (H,wt=19): 7630 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7460(a,2),7612(a,1,2,2))]. given #6908 (H,wt=19): 7637 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(6362(a,1),7614(a,1,2,2)),flip(a)]. given #6909 (H,wt=15): 7704 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(5374(a,1),7637(a,1,2,2)),flip(a)]. given #6910 (H,wt=19): 7647 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(4916(a,1),7634(a,1,2,2))]. given #6911 (H,wt=19): 7648 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7639(a,1),5201(a,2,2,2)),flip(a)]. given #6912 (H,wt=15): 7705 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5288,a,7648,a),flip(a)]. given #6913 (H,wt=15): 7706 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(62,a,6679,a,b,7705,a)]. given #6914 (H,wt=15): 7707 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(62,a,7571,a,b,7706,a)]. given #6915 (H,wt=19): 7651 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(96(a,1),7650(a,1,2))]. given #6916 (H,wt=19): 7685 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(10(a,1),7674(a,1,2,2,2))]. given #6917 (H,wt=19): 7692 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(104(a,1),7636(a,1,2,2))]. given #6918 (H,wt=19): 7697 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(27(a,2),7466(a,2,2))]. given #6919 (H,wt=19): 7701 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(62,a,6369,a(flip),b,7629,a)]. given #6920 (H,wt=19): 7703 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(5132(a,1),7637(a,1,2,2,2))]. given #6921 (H,wt=19): 7708 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(5132(a,1),7692(a,1,2,2,1)),flip(a)]. given #6922 (H,wt=19): 7709 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7460(a,2),7697(a,1,1))]. given #6923 (H,wt=19): 7710 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(10(a,1),7709(a,1,2)),flip(a)]. given #6924 (H,wt=16): 7713 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(273,a,341,a(flip),b,7710,a),flip(a)]. given #6925 (H,wt=16): 7715 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(273,a,7460,a(flip),b,7713,a),flip(a)]. given #6926 (H,wt=20): 7500 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7454(a,1),7114(a,1,1)),flip(a)]. given #6927 (H,wt=20): 7556 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7469(a,1),6842(a,1,1)),flip(a)]. given #6928 (H,wt=20): 7589 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7518(a,1),5227(a,1,1))]. given #6929 (H,wt=20): 7592 K(x,y) * z != u * w | u \ (z * K(x,T(y,z))) = w. [para(7564(a,1),5440(a,1,2))]. given #6930 (H,wt=20): 7656 K(R(T(x,y),z,u),w) != v5 | K(R(x,z,u),T(w,y)) = v5. [para(27(a,2),7655(a,1,1))]. given #6931 (H,wt=20): 7659 R(x,y,z) * K(u,x) != w | K(u,x) * R(x,y,z) = w. [para(159(a,1),7478(a,1,2,2))]. given #6932 (H,wt=20): 7664 K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. [para(110(a,1),7657(a,1,2))]. given #6933 (H,wt=20): 7671 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(62,a,7030,a(flip),b,7576,a)]. given #6934 (H,wt=20): 7681 x * K(y,x \ z) != u * x | K(y,(x / z) \ 1) = u. [para(7622(a,1),43(a,1))]. given #6935 (H,wt=20): 7689 T(x,y) * (x \ K(x,z)) != u | K(x,z) * K(x,y) = u. [para(5138(a,2),7539(a,1))]. given #6936 (H,wt=20): 7693 K(x,T(y,T(z,x) \ u)) != w | K(x,T(y,z \ u)) = w. [para(5518(a,1),7658(a,1,2,2))]. given #6937 (H,wt=21): 7391 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7384(a,1),448(a,1,2,1))]. given #6938 (H,wt=13): 7717 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(7295,a,7391,a)]. given #6939 (H,wt=13): 7719 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(62,a,6845,a(flip),b,7717,a)]. given #6940 (H,wt=13): 7720 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(62,a,6191,a(flip),b,7717,a)]. given #6941 (H,wt=21): 7496 T(x * K(y,x),R(y,z,u)) = T(x,R(y,z,u)) * K(y,x). [para(7470(a,1),5571(a,1,2)),flip(a)]. given #6942 (H,wt=21): 7523 K(x \ T(x * y,z),T(u,x)) = K(x \ T(y * x,z),u). [para(4918(a,1),7501(a,1,1)),flip(a)]. given #6943 (H,wt=21): 7545 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(62,a,612,a,b,7461,a)]. given #6944 (H,wt=21): 7568 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(4086(a,1),7476(a,1,2,2))]. given #6945 (H,wt=21): 7577 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(7572(a,1),5736(a,1,1)),flip(a)]. given #6946 (H,wt=21): 7578 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(187(a,1),7502(a,1,1))]. given #6947 (H,wt=21): 7596 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(110(a,1),7520(a,1,2)),flip(a)]. given #6948 (H,wt=21): 7617 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(5657(a,1),7547(a,1,1)),flip(a)]. given #6949 (H,wt=21): 7631 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(62,a,7462,a(flip),b,7614,a),flip(a)]. given #6950 (H,wt=21): 7667 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(109(a,1),7515(a,1,1,1))]. given #6951 (H,wt=21): 7670 T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). [para(7575(a,1),23(a,1,1)),flip(a)]. given #6952 (H,wt=21): 7677 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(62,a,5630,a,b,7615,a)]. given #6953 (H,wt=21): 7716 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(7671(a,1),7188(a,1,1,2))]. given #6954 (H,wt=16): 7727 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(5318(a,1),7716(a,1,1,2))]. given #6955 (H,wt=16): 7728 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(7727(a,1),1259(a,1,1))]. given #6956 (H,wt=21): 7721 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(7719(a,1),5173(a,2,1)),flip(a)]. given #6957 (H,wt=21): 7730 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(273,a,27,a,b,7721,a),flip(a)]. given #6958 (H,wt=22): 7371 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(7358(a,1),845(a,1,1)),flip(a)]. given #6959 (H,wt=22): 7390 T(K(x,y) * z,L(x,z,K(x,y))) = x \ (K(x,y) * (z * x)). [para(7384(a,1),442(a,1,1)),flip(a)]. given #6960 (H,wt=22): 7479 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7460(a,2),576(a,1,2,2))]. given #6961 (H,wt=22): 7546 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(493(a,1),7462(a,1,2))]. given #6962 (H,wt=22): 7590 K((x \ y) \ z,y \ x) != u | K(z / (x \ y),y \ x) = u. [para(7518(a,1),6661(a,1))]. given #6963 (H,wt=22): 7603 T(K(x,y) * z,K(x,y)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7411(a,2),213(a,2)),flip(a)]. given #6964 (H,wt=22): 7660 K(x,x \ y) * K(z,y) != u | K(z,y) * K(x,x \ y) = u. [para(5601(a,1),7478(a,1,2,2))]. given #6965 (H,wt=22): 7668 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1413(a,1),7516(a,1,1)),flip(a)]. given #6966 (H,wt=22): 7698 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2712(a,1),7565(a,1,2,2))]. given #6967 (H,wt=22): 7732 T(K(x,y) * z,L(x,z,K(x,y))) = x \ (T(x,y) * T(z,x)). [para(5491(a,1),7390(a,2,2))]. given #6968 (H,wt=20): 7736 T(K(x,y) * z,L(x,z,K(x,y))) = K(x,y) * T(z,x). [hyper(273,a,5487,a(flip),b,7732,a),flip(a)]. given #6969 (H,wt=15): 7737 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(7384(a,1),7736(a,1,2))]. given #6970 (H,wt=15): 7738 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6366,a,7737,a),flip(a)]. given #6971 (H,wt=15): 7739 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6365,a,7737,a)]. given #6972 (H,wt=15): 7742 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(10(a,1),7737(a,1,1)),flip(a)]. given #6973 (H,wt=15): 7747 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(9(a,1),7739(a,1,2,1)),flip(a)]. given #6974 (H,wt=15): 7749 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7739(a,1),6373(a,1,1)),flip(a)]. given #6975 (H,wt=15): 7752 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(116,a,7747,a,b,xx)]. given #6976 (H,wt=15): 7755 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6443,a,7749,a)]. given #6977 (H,wt=17): 7757 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(273,a,6424,a,b,7749,a)]. given #6978 (H,wt=17): 7758 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(115,a,7749,a,b,5137,a)]. given #6979 (H,wt=17): 7761 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(5142(a,1),7752(a,1,1,1))]. given #6980 (H,wt=19): 7743 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(23(a,1),7737(a,2,2))]. given #6981 (H,wt=17): 7763 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(273,a,5525,a(flip),b,7743,a),flip(a)]. given #6982 (H,wt=19): 7746 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(7460(a,2),7737(a,2,2))]. given #6983 (H,wt=20): 7754 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5648(a,1),7747(a,1,1)),flip(a)]. given #6984 (H,wt=18): 7764 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7463(a,1),7754(a,1,2))]. given #6985 (H,wt=15): 7765 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(62,a,5648,a(flip),b,7764,a),flip(a)]. given #6986 (H,wt=17): 7766 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(245,a,7765,a)]. given #6987 (H,wt=20): 7760 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(7749(a,2),5499(a,1,2))]. given #6988 (H,wt=21): 7740 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(273,a,5945,a(flip),b,7737,a),flip(a)]. given #6989 (H,wt=21): 7741 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [hyper(273,a,3046,a(flip),b,7737,a),flip(a)]. given #6990 (H,wt=19): 7767 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(5290(a,1),7741(a,1,1))]. given #6991 (H,wt=17): 7768 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(273,a,5652,a(flip),b,7767,a),flip(a)]. given #6992 (H,wt=19): 7769 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(62,a,6771,a,b,7768,a)]. given #6993 (H,wt=21): 7744 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(25(a,2),7737(a,2,2))]. given #6994 (H,wt=21): 7750 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(62,a,5170,a,b,7742,a)]. given #6995 (H,wt=22): 7734 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(273,a,7501,a(flip),b,7668,a),flip(a)]. given #6996 (H,wt=16): 7771 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(62,a,7719,a(flip),b,7734,a)]. given #6997 (H,wt=16): 7773 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(12(a,1),7771(a,1,2,2)),flip(a)]. given #6998 (H,wt=22): 7735 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5714(a,1),7698(a,1,2))]. given #6999 (H,wt=23): 7366 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7356(a,1),4655(a,1,3))]. given #7000 (H,wt=21): 7774 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5506(a,1),7366(a,1,2))]. given #7001 (H,wt=19): 7775 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5506(a,1),7774(a,2,2))]. given #7002 (H,wt=22): 7776 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(7775(a,1),437(a,1,2)),flip(a)]. given #7003 (H,wt=22): 7777 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4225(a,1),7776(a,1,2,1))]. given #7004 (H,wt=22): 7778 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4225(a,1),7777(a,2,2,2))]. given #7005 (H,wt=23): 7512 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(62,a,5941,a,b,7501,a)]. given #7006 (H,wt=23): 7543 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7536(a,1),467(a,1,1))]. given #7007 (H,wt=21): 7782 (x / ((y * z) / y)) \ (x * K(z,u)) = K(y,z) * T(z,u). [hyper(273,a,5745,a(flip),b,7543,a),flip(a)]. given #7008 (H,wt=23): 7579 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(188(a,1),7502(a,1,1))]. given #7009 (H,wt=23): 7595 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(696(a,1),7441(a,1,2,2))]. given #7010 (H,wt=23): 7726 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(7677(a,1),3862(a,1,2))]. given #7011 (H,wt=23): 7748 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(7739(a,1),1581(a,1,1)),flip(a)]. given #7012 (H,wt=23): 7751 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(115,a,7742,a(flip),b,917,a),flip(a)]. given #7013 (H,wt=23): 7780 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(273,a,7501,a(flip),b,7512,a),flip(a)]. given #7014 (H,wt=23): 7785 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(7726(a,1),7234(a,1,2))]. given #7015 (H,wt=23): 7786 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(273,a,417,a(flip),b,7748,a),flip(a)]. given #7016 (H,wt=24): 7430 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7387(a,1),192(a,2,1)),flip(a)]. given #7017 (H,wt=24): 7480 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7460(a,2),637(a,1,1))]. given #7018 (H,wt=24): 7497 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(7470(a,1),5935(a,1,2))]. given #7019 (H,wt=24): 7499 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(687(a,1),7454(a,1,1,1)),flip(a)]. given #7020 (H,wt=24): 7599 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(220(a,1),7573(a,1,2))]. given #7021 (H,wt=24): 7638 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(691(a,1),7632(a,1,2,2))]. given #7022 (H,wt=24): 7700 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(7699(a,1),6873(a,1,1))]. given #7023 (H,wt=24): 7724 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(7568(a,1),42(a,1)),flip(a)]. given #7024 (H,wt=24): 7725 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [hyper(62,a,4434,a(flip),b,7670,a),flip(a)]. given #7025 (H,wt=22): 7790 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5086(a,1),7725(a,1,1,1))]. given #7026 (H,wt=19): 7791 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5081(a,1),7790(a,1,1)),flip(a)]. given #7027 (H,wt=19): 7792 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(273,a,25,a,b,7791,a),flip(a)]. given #7028 (H,wt=24): 7733 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(74(a,1),7546(a,1,2,1,1))]. given #7029 (H,wt=22): 7794 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(62,a,7710,a(flip),b,7733,a),flip(a)]. given #7030 (H,wt=24): 7783 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7543(a,2),6620(a,1))]. given #7031 (H,wt=24): 7787 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(27(a,2),7499(a,1,1))]. given #7032 (H,wt=25): 7363 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7354(a,1),5571(a,1,1))]. given #7033 (H,wt=21): 7796 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7354(a,1),7363(a,1,2,2)),flip(a)]. given #7034 (H,wt=19): 7797 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(273,a,5571,a(flip),b,7796,a),flip(a)]. given #7035 (H,wt=25): 7414 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(7395(a,1),448(a,1,2,1))]. given #7036 (H,wt=25): 7553 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5538(a,1),7469(a,1,2))]. given #7037 (H,wt=24): 7801 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(62,a,7269,a(flip),b,7553,a),flip(a)]. given #7038 (H,wt=23): 7803 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(193(a,1),7801(a,1,1,2)),flip(a)]. given #7039 (H,wt=24): 7802 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(62,a,5925,a(flip),b,7801,a)]. given #7040 (H,wt=25): 7618 K(L(x \ 1,y,z),((u * x) \ u) \ u) = K(L(x \ 1,y,z),u * x). [para(6685(a,1),7548(a,1,2))]. given #7041 (H,wt=22): 7806 K(L(x \ 1,x,y),((z * x) \ z) \ z) = K(x \ 1,z * x). [hyper(273,a,6513,a(flip),b,7618,a),flip(a)]. given #7042 (H,wt=23): 7807 K(L(x \ 1,x,y),L(x \ 1,x,z) \ z) = K(x \ 1,z * x). [para(192(a,2),7806(a,1,2,1))]. given #7043 (H,wt=25): 7641 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5250(a,1),7633(a,1,2,2)),flip(a)]. given #7044 (H,wt=25): 7643 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(168(a,1),7640(a,1,2,2)),flip(a)]. given #7045 (H,wt=25): 7673 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(7145(a,1),7588(a,1,1))]. given #7046 (H,wt=23): 7809 T(x / y,T((y * z) \ x,y)) = T(x / y,T(z \ (y \ x),y)). [hyper(7589,a,7673,a),flip(a)]. given #7047 (H,wt=25): 7680 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(456(a,1),7679(a,1,2,1)),flip(a)]. given #7048 (H,wt=25): 7712 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(5134(a,1),7709(a,1,1,2))]. given #7049 (H,wt=25): 7714 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,(y * K(z,y)) \ u,w)). [para(5134(a,1),7710(a,1,2,1)),flip(a)]. given #7050 (H,wt=25): 7731 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(115,a,7730,a(flip),b,5507,a),flip(a)]. given #7051 (H,wt=25): 7779 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(7778(a,1),4258(a,1,1))]. given #7052 (H,wt=25): 7784 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(7726(a,1),3856(a,1,1)),flip(a)]. given #7053 (H,wt=25): 7793 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(7792(a,1),29(a,1,1)),flip(a)]. given #7054 (H,wt=25): 7812 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4568(a,1),7712(a,1,2))]. given #7055 (H,wt=23): 7815 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(62,a,6191,a(flip),b,7812,a),flip(a)]. given #7056 (H,wt=17): 7816 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(5134(a,1),7815(a,1,2,1)),flip(a)]. given #7057 (H,wt=17): 7817 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5387(a,1),7816(a,1,2,2)),flip(a)]. given #7058 (H,wt=25): 7813 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,K(y,z) * (y \ u),w)). [para(5754(a,1),7714(a,2,2,2))]. given #7059 (H,wt=23): 7818 R(K(x,T(y * K(z,y),z)),u,w) = R(K(x,y),K(y,z) * u,w). [hyper(273,a,6193,a(flip),b,7813,a),flip(a)]. given #7060 (H,wt=17): 7819 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5134(a,1),7818(a,1,1,2)),flip(a)]. given #7061 (H,wt=21): 7820 R(K(x,y \ z),(y \ z) * y,u) = R(K(x,y \ z),z,u). [para(5087(a,1),7819(a,1,2))]. given #7062 (H,wt=17): 7821 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [hyper(62,a,6191,a(flip),b,7820,a),flip(a)]. given #7063 (H,wt=25): 7814 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(273,a,29,a(flip),b,7793,a),flip(a)]. given #7064 (H,wt=26): 7683 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(7646(a,2),6228(a,1,2,1))]. given #7065 (H,wt=24): 7822 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(6425(a,1),7683(a,1,2,1))]. given #7066 (H,wt=26): 7694 K(x,y) * (z * K(x,u)) != K(x,u) * w | T(K(x,y) * z,K(x,u)) = w. [para(7410(a,1),213(a,2)),flip(a)]. given #7067 (H,wt=26): 7745 (x * (K(y,z) * u)) \ (x * T(K(y,z) * u,y)) = K(L(u,K(y,z),x),y). [para(7737(a,2),7103(a,1,2,2))]. given #7068 (H,wt=16): 7823 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(6476,a,7745,a),flip(a)]. given #7069 (H,wt=11): 7825 K(K(x,y) * z,x) = K(z,x). [hyper(62,a,7418,a(flip),b,7823,a),flip(a)]. given #7070 (H,wt=11): 7827 K(K(x,y) \ z,x) = K(z,x). [para(10(a,1),7825(a,1,1)),flip(a)]. given #7071 (H,wt=11): 7828 K(K(x,y) * z,y) = K(z,y). [para(5387(a,1),7825(a,1,1)),flip(a)]. given #7072 (H,wt=12): 7826 K(L(x,K(y,z),u),y) = K(x,y). [hyper(62,a,7823,a,b,7825,a)]. given #7073 (H,wt=13): 7829 K(T(x,y) * z,x) = K(x * z,x). [para(5178(a,1),7825(a,1,1))]. given #7074 (H,wt=13): 7835 K(x * T(y,z),z) = K(x * y,z). [para(5891(a,1),7828(a,1,1))]. given #7075 (H,wt=13): 7836 K(x \ T(y,z),z) = K(x \ y,z). [para(5890(a,1),7828(a,1,1))]. given #7076 (H,wt=14): 7831 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6176(a,1),7825(a,1,1,1))]. given #7077 (H,wt=14): 7845 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6845(a,1),7831(a,1,1,1))]. given #7078 (H,wt=15): 7832 K(x * (K(y,z) * u),z) = K(x * u,z). [para(6362(a,1),7825(a,1,1)),flip(a)]. given #7079 (H,wt=11): 7847 K(x * K(y,z),y) = K(x,y). [para(5374(a,1),7832(a,1,1)),flip(a)]. given #7080 (H,wt=13): 7846 K(x * T(y,z),y) = K(x * y,y). [para(5127(a,1),7832(a,1,1,2)),flip(a)]. given #7081 (H,wt=13): 7854 K(x * T(y,z),y) = K(y * x,y). [hyper(273,a,5626,a(flip),b,7846,a),flip(a)]. given #7082 (H,wt=14): 7853 K(x * L(K(y,z),u,w),y) = K(x,y). [para(6161(a,1),7847(a,1,1,2))]. given #7083 (H,wt=15): 7842 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(22(a,1),7836(a,1,1,2))]. given #7084 (H,wt=15): 7843 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(110(a,1),7836(a,1,1,2)),flip(a)]. given #7085 (H,wt=15): 7844 K((K(x,y) * z) * u,x) = K(z * u,x). [para(104(a,1),7831(a,1,1))]. given #7086 (H,wt=15): 7848 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5387(a,1),7832(a,1,1,2)),flip(a)]. given #7087 (H,wt=11): 7859 K(x * K(y,z),z) = K(x,z). [para(5374(a,1),7848(a,1,1)),flip(a)]. given #7088 (H,wt=13): 7863 K(x * K(y,z),z) = 1 / K(z,x). [hyper(273,a,5370,a,b,7859,a),flip(a)]. given #7089 (H,wt=11): 7867 K(x,y * K(z,x)) = K(x,y). [hyper(5390,a,7863,a)]. given #7090 (H,wt=11): 7869 K(x,y / K(z,x)) = K(x,y). [para(12(a,1),7867(a,1,2)),flip(a)]. given #7091 (H,wt=11): 7874 K(x,K(y,x) * z) = K(x,z). [para(7505(a,1),7867(a,1,2))]. given #7092 (H,wt=11): 7875 K(x,K(x,y) * z) = K(x,z). [para(7509(a,1),7867(a,1,2)),flip(a)]. given #7093 (H,wt=11): 7878 K(x,K(y,x) \ z) = K(x,z). [para(10(a,1),7874(a,1,2)),flip(a)]. given #7094 (H,wt=13): 7865 K(x * K(y,T(z,u)),z) = K(x,z). [para(7501(a,1),7859(a,1,1,2))]. given #7095 (H,wt=13): 7876 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(6634,a,7869,a),flip(a)]. given #7096 (H,wt=13): 7879 K(x,T(x,y) \ z) = K(x,x \ z). [para(5518(a,1),7874(a,1,2))]. given #7097 (H,wt=13): 7885 K(x,y / T(x,z)) = K(x,x \ y). [hyper(62,a,7488,a,b,7879,a)]. given #7098 (H,wt=14): 7868 K(x * K(y,z),z) != u | K(x,z) = u. [para(7863(a,2),5376(a,1))]. given #7099 (H,wt=14): 7877 K(x,y / L(K(z,x),u,w)) = K(x,y). [para(6260(a,1),7869(a,1,2,2))]. given #7100 (H,wt=14): 7880 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5995(a,1),7874(a,1,2,1))]. given #7101 (H,wt=14): 7890 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6191(a,1),7880(a,1,2,1))]. given #7102 (H,wt=15): 7856 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(273,a,7829,a,b,7854,a)]. given #7103 (H,wt=15): 7857 K(x * (y * K(z,u)),z) = K(x * y,z). [para(94(a,1),7853(a,1,1))]. given #7104 (H,wt=15): 7864 K(x / (y / z),z) = K(x / (z \ y),z). [para(6601(a,1),7859(a,1,1))]. given #7105 (H,wt=15): 7873 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6601(a,1),7867(a,1,2))]. given #7106 (H,wt=15): 7881 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(7875(a,1),3203(a,1,2))]. given #7107 (H,wt=15): 7882 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5884(a,1),7865(a,1,1))]. given #7108 (H,wt=15): 7889 K(x,y * (z * K(u,x))) = K(x,y * z). [para(169(a,1),7877(a,1,2)),flip(a)]. given #7109 (H,wt=11): 7898 K(x,y * K(x,z)) = K(x,y). [para(5374(a,1),7889(a,1,2)),flip(a)]. given #7110 (H,wt=13): 7897 K(x,y * T(x,z)) = K(x,y * x). [para(5118(a,1),7889(a,1,2,2)),flip(a)]. given #7111 (H,wt=13): 7902 K(x,y * K(x,z)) = x \ T(x,y). [hyper(273,a,5111,a(flip),b,7898,a),flip(a)]. given #7112 (H,wt=11): 7907 T(x,y * K(x,z)) = T(x,y). [hyper(5166,a,7902,a)]. given #7113 (H,wt=13): 7916 T(x,y * T(x,z)) = T(x,y * x). [para(6425(a,1),7907(a,1,2))]. given #7114 (H,wt=13): 7918 T(x,y * T(x,z)) = T(x,x * y). [hyper(273,a,4300,a(flip),b,7916,a),flip(a)]. given #7115 (H,wt=14): 7908 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7902(a,2),5239(a,1))]. given #7116 (H,wt=14): 7915 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6161(a,1),7907(a,1,2,2))]. given #7117 (H,wt=14): 7920 R(T(x,x * y),y,T(x,z)) = T(x,y). [para(7918(a,1),1477(a,1,1))]. given #7118 (H,wt=14): 7921 K(x,x * y) != z | K(x,y * x) = z. [para(86(a,1),7908(a,1,2))]. given #7119 (H,wt=14): 7922 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7107(a,1),7915(a,1,2,2))]. given #7120 (H,wt=15): 7901 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7509(a,1),7889(a,1,2,2)),flip(a)]. given #7121 (H,wt=16): 7888 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(5886(a,1),7868(a,1,1))]. given #7122 (H,wt=16): 7923 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [para(10(a,1),7920(a,1,1,2))]. given #7123 (H,wt=16): 7929 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(273,a,109,a(flip),b,7923,a),flip(a)]. given #7124 (H,wt=17): 7851 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5890(a,1),7832(a,1,1,2))]. given #7125 (H,wt=17): 7866 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7502(a,1),7859(a,1,1,2))]. given #7126 (H,wt=17): 7891 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5132(a,1),7890(a,1,2)),flip(a)]. given #7127 (H,wt=17): 7926 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(86(a,1),7922(a,1,2))]. given #7128 (H,wt=18): 7870 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7867(a,1),4562(a,1,1))]. given #7129 (H,wt=14): 7932 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7870(a,1),4753(a,1))]. given #7130 (H,wt=14): 7933 K(x,y * x) != z | K(x,x * y) = z. [para(86(a,1),7932(a,1,2))]. given #7131 (H,wt=16): 7935 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(5886(a,1),7932(a,1,2))]. given #7132 (H,wt=18): 7900 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(6260(a,1),7889(a,1,2,2,2))]. given #7133 (H,wt=18): 7928 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(22(a,1),7888(a,1,1,2))]. given #7134 (H,wt=19): 7838 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(256(a,1),7826(a,1,1))]. given #7135 (H,wt=15): 7937 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(273,a,7827,a(flip),b,7838,a),flip(a)]. given #7136 (H,wt=15): 7939 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7486(a,1),7937(a,1,1,1)),flip(a)]. given #7137 (H,wt=13): 7940 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(6698,a,7939,a)]. given #7138 (H,wt=16): 7942 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6161(a,1),7940(a,1,1,2))]. given #7139 (H,wt=19): 7839 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [para(7829(a,1),5163(a,2,2)),flip(a)]. given #7140 (H,wt=19): 7840 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(6524(a,1),7835(a,1,1,2)),flip(a)]. given #7141 (H,wt=19): 7892 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5518(a,1),7890(a,1,2))]. given #7142 (H,wt=19): 7896 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(261(a,1),7889(a,1,2,2))]. given #7143 (H,wt=19): 7899 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(5194(a,1),7889(a,1,2,2))]. given #7144 (H,wt=19): 7927 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6362(a,1),7901(a,1,2,2)),flip(a)]. given #7145 (H,wt=15): 7946 K(x,y * (z * K(x,u))) = K(x,y * z). [para(5374(a,1),7927(a,1,2,2)),flip(a)]. given #7146 (H,wt=18): 7948 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(6161(a,1),7946(a,1,2,2,2))]. given #7147 (H,wt=19): 7930 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(6787(a,1),7851(a,1,1,2))]. given #7148 (H,wt=19): 7931 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1238(a,1),7866(a,1,1))]. given #7149 (H,wt=19): 7936 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(94(a,1),7900(a,1,2,2))]. given #7150 (H,wt=19): 7944 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(27(a,2),7892(a,1,2,1))]. given #7151 (H,wt=19): 7947 K(x,y * (z * (K(x,u) * w))) = K(x,y * (z * w)). [para(5387(a,1),7927(a,1,2,2,2)),flip(a)]. given #7152 (H,wt=19): 7950 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(62,a,7596,a,b,7944,a)]. given #7153 (H,wt=20): 7855 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(7846(a,2),5984(a,1,1,1,2))]. given #7154 (H,wt=15): 7952 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(62,a,6896,a(flip),b,7855,a)]. given #7155 (H,wt=14): 7957 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7952(a,1),7443(a,1,2))]. given #7156 (H,wt=14): 7958 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(27(a,1),7957(a,1,2))]. given #7157 (H,wt=17): 7959 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(7929(a,1),7958(a,1,2,1))]. given #7158 (H,wt=18): 7955 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [para(7952(a,1),4288(a,1,2)),flip(a)]. given #7159 (H,wt=20): 7941 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(96(a,2),7939(a,1,1))]. given #7160 (H,wt=15): 7961 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(62,a,7418,a(flip),b,7941,a),flip(a)]. given #7161 (H,wt=15): 7963 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5087(a,1),7961(a,1,1,2))]. given #7162 (H,wt=15): 7964 K(x \ (y * z),z) = K(x \ (z * y),z). [para(5132(a,1),7961(a,1,1,2))]. given #7163 (H,wt=15): 7965 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5387(a,1),7961(a,1,1,2)),flip(a)]. given #7164 (H,wt=17): 7968 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5518(a,1),7961(a,1,1,2))]. given #7165 (H,wt=17): 7971 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5891(a,1),7961(a,1,1,2))]. given #7166 (H,wt=19): 7966 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(5204(a,1),7961(a,1,1,2))]. given #7167 (H,wt=19): 7967 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5269(a,1),7961(a,1,1,2))]. given #7168 (H,wt=21): 7887 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. [para(7885(a,1),5523(a,2,1))]. given #7169 (H,wt=21): 7893 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5751(a,1),7890(a,1,2))]. given #7170 (H,wt=22): 7906 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7898(a,1),6436(a,1,1)),flip(a)]. given #7171 (H,wt=20): 7976 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7846(a,1),7906(a,2,2))]. given #7172 (H,wt=17): 7978 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(273,a,5810,a(flip),b,7976,a),flip(a)]. given #7173 (H,wt=22): 7934 K(x \ 1,((x \ 1) \ 1) * y) != z | K(x \ 1,x * y) = z. [para(3047(a,1),7932(a,1,2))]. given #7174 (H,wt=20): 7980 K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,x * y) = z. [para(4482(a,1),7934(a,1))]. given #7175 (H,wt=22): 7954 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7952(a,1),1081(a,1,1))]. given #7176 (H,wt=22): 7972 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(202(a,1),7971(a,1,1)),flip(a)]. given #7177 (H,wt=23): 7841 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6774(a,1),7835(a,1,1)),flip(a)]. given #7178 (H,wt=23): 7850 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5866(a,1),7832(a,1,1,2))]. given #7179 (H,wt=23): 7872 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(7867(a,1),6191(a,1,1))]. given #7180 (H,wt=23): 7910 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7907(a,1),210(a,1,2,1))]. given #7181 (H,wt=23): 7913 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7907(a,1),4228(a,1,2,1))]. given #7182 (H,wt=23): 7919 T(x * T(y,z),u * T(y,x * y)) = T(x * T(y,z),u * y). [para(7916(a,1),7368(a,1,2,2))]. given #7183 (H,wt=23): 7949 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6681(a,1),7931(a,1,1)),flip(a)]. given #7184 (H,wt=23): 7970 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5866(a,1),7961(a,1,1,2))]. given #7185 (H,wt=23): 7981 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(62,a,5675,a(flip),b,7841,a)]. given #7186 (H,wt=23): 7982 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(62,a,6452,a(flip),b,7910,a)]. given #7187 (H,wt=23): 7984 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(62,a,7803,a,b,7970,a)]. given #7188 (H,wt=23): 7985 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(273,a,5671,a(flip),b,7981,a),flip(a)]. given #7189 (H,wt=24): 7973 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(7966(a,1),6863(a,1,1))]. given #7190 (H,wt=19): 7987 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(62,a,4562,a(flip),b,7973,a),flip(a)]. given #7191 (H,wt=25): 7871 L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. [para(7867(a,1),5320(a,1,1,2))]. given #7192 (H,wt=25): 7956 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5134(a,1),7952(a,1,1)),flip(a)]. given #7193 (H,wt=19): 7989 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5134(a,1),7956(a,1,1)),flip(a)]. given #7194 (H,wt=13): 7990 R(x,y,x * K(z,x)) = R(x,y,x). [para(5134(a,1),7989(a,1,3)),flip(a)]. given #7195 (H,wt=17): 7991 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5176(a,1),7990(a,1,3))]. given #7196 (H,wt=26): 7781 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7512(a,2),7655(a,1))]. given #7197 (H,wt=26): 7810 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7673(a,1),7589(a,1))]. given #7198 (H,wt=26): 7911 (x * K(y,z)) * L(T(y,x),u,w) != v5 | L(y,u,w) * (x * K(y,z)) = v5. [para(7907(a,1),380(a,1,2,1))]. given #7199 (H,wt=27): 7483 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7460(a,2),5936(a,1,1))]. given #7200 (H,wt=27): 7616 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(7538(a,1),5394(a,2,1,1))]. given #7201 (H,wt=27): 7666 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5999(a,1),7447(a,2,2))]. given #7202 (H,wt=23): 7993 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5999(a,1),7666(a,1,1,2))]. given #7203 (H,wt=27): 7676 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(7610(a,1),4020(a,2,3))]. given #7204 (H,wt=27): 7678 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(x * (y / x),z)). [para(4306(a,1),7619(a,1,2,1))]. given #7205 (H,wt=23): 7995 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(y,z)). [para(6725(a,1),7678(a,2,2))]. given #7206 (H,wt=21): 7996 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = K(x,y) * z. [hyper(273,a,7476,a(flip),b,7995,a),flip(a)]. given #7207 (H,wt=27): 7762 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(6775(a,1),7757(a,1,1,1)),flip(a)]. given #7208 (H,wt=27): 7804 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ (x / ((z \ 1) * x)),z). [hyper(273,a,3635,a(flip),b,7803,a),flip(a)]. given #7209 (H,wt=27): 7992 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(7493(a,1),7616(a,1,2))]. given #7210 (H,wt=27): 7994 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3548(a,1),7676(a,1,3))]. given #7211 (H,wt=28): 7723 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(696(a,1),7720(a,1,2))]. given #7212 (H,wt=23): 7997 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(62,a,7773,a(flip),b,7723,a)]. given #7213 (H,wt=21): 7999 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(110(a,1),7997(a,1,2)),flip(a)]. given #7214 (H,wt=21): 8000 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(62,a,7893,a(flip),b,7999,a)]. given #7215 (H,wt=28): 7788 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(7700(a,1),6267(a,1,1,1)),flip(a)]. given #7216 (H,wt=24): 8001 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). [hyper(273,a,6150,a(flip),b,7788,a),flip(a)]. given #7217 (H,wt=15): 8002 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(62,a,7409,a(flip),b,8001,a),flip(a)]. given #7218 (H,wt=15): 8005 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(7486(a,1),8002(a,1,2)),flip(a)]. given #7219 (H,wt=15): 8006 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(5087(a,1),8005(a,1,2))]. given #7220 (H,wt=13): 8008 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(62,a,7687,a(flip),b,8006,a)]. given #7221 (H,wt=17): 8004 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6425(a,1),8002(a,1,2))]. given #7222 (H,wt=15): 8009 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(273,a,7688,a(flip),b,8004,a),flip(a)]. given #7223 (H,wt=18): 8007 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(5995(a,1),8005(a,1,2,1))]. given #7224 (H,wt=28): 7799 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(62,a,5732,a(flip),b,7797,a),flip(a)]. given #7225 (H,wt=24): 8010 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7844(a,1),7799(a,1,1,2))]. given #7226 (H,wt=19): 8011 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(62,a,5732,a(flip),b,8010,a),flip(a)]. given #7227 (H,wt=28): 7858 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(7843(a,1),5829(a,1,1,1,2))]. given #7228 (H,wt=21): 8014 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(5832,a,7858,a),flip(a)]. given #7229 (H,wt=28): 7861 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7848(a,1),5831(a,1,2,1,2)),flip(a)]. given #7230 (H,wt=21): 8015 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(273,a,5831,a(flip),b,7861,a),flip(a)]. given #7231 (H,wt=17): 8016 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(5387(a,1),8015(a,1,2)),flip(a)]. given #7232 (H,wt=20): 8017 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6260(a,1),8016(a,1,2,1))]. given #7233 (H,wt=28): 7862 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7848(a,1),5833(a,1,2,1,2)),flip(a)]. given #7234 (H,wt=21): 8018 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(273,a,5833,a(flip),b,7862,a),flip(a)]. given #7235 (H,wt=17): 8019 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5387(a,1),8018(a,1,1)),flip(a)]. given #7236 (H,wt=17): 8020 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5387(a,1),8019(a,1,1)),flip(a)]. given #7237 (H,wt=20): 8021 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5995(a,1),8019(a,1,1,1))]. given #7238 (H,wt=23): 8022 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [para(8020(a,1),5163(a,2,2)),flip(a)]. given #7239 (H,wt=21): 8023 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6487,a,8022,a),flip(a)]. given #7240 (H,wt=28): 7895 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7882(a,1),5732(a,1,1,2))]. given #7241 (H,wt=24): 8024 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(62,a,7627,a(flip),b,7895,a)]. given #7242 (H,wt=19): 8026 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(62,a,5732,a(flip),b,8024,a),flip(a)]. given #7243 (H,wt=28): 7960 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(4520(a,1),7955(a,2,2))]. given #7244 (H,wt=26): 8027 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(273,a,4236,a(flip),b,7960,a),flip(a)]. given #7245 (H,wt=29): 7458 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(4188(a,1),7445(a,1,2,2)),flip(a)]. given #7246 (H,wt=29): 7672 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(4084(a,1),7580(a,1,2))]. given #7247 (H,wt=29): 7702 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4807(a,1),7630(a,1,1))]. given #7248 (H,wt=27): 8028 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(117,a,7702,a),flip(a)]. given #7249 (H,wt=23): 8029 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4804(a,1),8028(a,1,1)),flip(a)]. given #7250 (H,wt=29): 7943 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(7942(a,1),5830(a,1,1,1,2)),flip(a)]. given #7251 (H,wt=22): 8031 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(273,a,5830,a(flip),b,7943,a),flip(a)]. given #7252 (H,wt=29): 7945 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(938(a,1),7892(a,1,2)),flip(a)]. given #7253 (H,wt=29): 8032 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(27(a,2),7945(a,1,2,2,2,1))]. given #7254 (H,wt=19): 8033 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(9(a,1),8032(a,1,2))]. given #7255 (H,wt=30): 7711 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(692(a,1),7709(a,2,2))]. given #7256 (H,wt=22): 8035 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(12(a,1),7711(a,1,2))]. given #7257 (H,wt=30): 7729 (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). [para(7727(a,2),5887(a,2,1))]. given #7258 (H,wt=24): 8036 T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. [para(5882(a,1),7729(a,1,1)),flip(a)]. given #7259 (H,wt=20): 8037 T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. [para(9(a,1),8036(a,2,1,1,2,1))]. given #7260 (H,wt=19): 8038 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(7727(a,1),8037(a,1,1)),flip(a)]. given #7261 (H,wt=30): 7805 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(7803(a,2),6654(a,1))]. given #7262 (H,wt=31): 7722 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(7719(a,1),5631(a,1,1,1)),flip(a)]. given #7263 (H,wt=31): 7894 K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). [para(7856(a,1),7780(a,1,1,1,1,2)),flip(a)]. given #7264 (H,wt=23): 8039 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(273,a,7780,a(flip),b,7894,a),flip(a)]. given #7265 (H,wt=21): 8040 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(107(a,1),8039(a,1,2,1,1,1)),flip(a)]. given #7266 (H,wt=32): 7405 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(7386(a,1),446(a,1,2,2)),flip(a)]. given #7267 (H,wt=24): 8041 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(273,a,11,a(flip),b,7405,a),flip(a)]. given #7268 (H,wt=16): 8043 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(7386(a,1),8041(a,1,3))]. given #7269 (H,wt=33): 5431 L(a(K(x,y),z,u),K(x,y) * (z * u),K(y,x)) = (z * u) \ (K(y,x) * ((K(x,y) * z) * u)). [para(5387(a,1),461(a,1,1)),flip(a)]. given #7270 (H,wt=33): 6132 K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). [para(2653(a,1),6129(a,2,1))]. given #7271 (H,wt=33): 6802 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6345(a,1),5839(a,2,1,1))]. given #7272 (H,wt=23): 8044 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5701(a,1),6802(a,1,1,2))]. given #7273 (H,wt=19): 8045 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(273,a,622,a(flip),b,8044,a),flip(a)]. given #7274 (H,wt=19): 8047 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(129,a,8045,a)]. given #7275 (H,wt=19): 8048 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(35,a,5419,a,b,8045,a)]. given #7276 (H,wt=19): 8050 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5387(a,1),8048(a,1,2,2)),flip(a)]. given #7277 (H,wt=19): 8051 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5387(a,1),8050(a,2,2))]. given #7278 (H,wt=19): 8053 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5423,a,8051,a)]. given #7279 (H,wt=23): 8049 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(108(a,1),8047(a,1,2)),flip(a)]. given #7280 (H,wt=19): 8055 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(212,a,7410,a,b,8049,a)]. given #7281 (H,wt=18): 8058 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(8055(a,2),252(a,1))]. given #7282 (H,wt=19): 8056 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(6366,a,8055,a),flip(a)]. given #7283 (H,wt=26): 8059 T((x \ 1) * y,K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. [para(2706(a,1),8058(a,1,1))]. given #7284 (H,wt=27): 8052 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7110(a,1),8050(a,1,2,1)),flip(a)]. given #7285 (H,wt=25): 8062 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7110(a,1),8052(a,1,1))]. given #7286 (H,wt=29): 8061 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(6264(a,1),8056(a,2,2))]. given #7287 (H,wt=25): 8063 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(6264(a,1),8061(a,1,1,2))]. given #7288 (H,wt=25): 8064 T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). [hyper(4933,a,8063,a),flip(a)]. given #7289 (H,wt=25): 8065 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(y,x),z,u) \ T(w,K(x,v5)). [para(6287(a,1),8064(a,1,1))]. given #7290 (H,wt=25): 8066 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(273,a,6287,a(flip),b,8065,a),flip(a)]. given #7291 (H,wt=32): 8067 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(273,a,209,a(flip),b,8066,a),flip(a)]. given #7292 (H,wt=25): 8068 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(108(a,1),8067(a,1,1))]. given #7293 (H,wt=33): 6832 K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). [para(256(a,1),6831(a,1,1,1))]. given #7294 (H,wt=30): 8069 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). [para(256(a,1),6832(a,1,2)),flip(a)]. given #7295 (H,wt=28): 8070 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). [hyper(273,a,6485,a(flip),b,8069,a),flip(a)]. given #7296 (H,wt=25): 8071 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). [para(256(a,1),8070(a,1,2))]. given #7297 (H,wt=25): 8072 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). [hyper(273,a,7014,a(flip),b,8071,a),flip(a)]. given #7298 (H,wt=23): 8073 x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(8072(a,1),6040(a,2,2)),flip(a)]. given #7299 (H,wt=21): 8074 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(64(a,1),8073(a,1,2,1))]. given #7300 (H,wt=19): 8076 K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). [hyper(33,a,4834,a(flip),b,8074,a),flip(a)]. given #7301 (H,wt=15): 8079 K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). [para(10(a,1),8076(a,1,1))]. given #7302 (H,wt=17): 8080 K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). [para(8079(a,1),5370(a,1,2)),flip(a)]. given #7303 (H,wt=15): 8081 K((x \ y) \ (x \ 1),y) = K(y \ 1,y). [hyper(273,a,5370,a(flip),b,8080,a),flip(a)]. given #7304 (H,wt=19): 8082 K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). [para(9(a,1),8081(a,1,1,1)),flip(a)]. given #7305 (H,wt=21): 8075 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(33,a,6973,a(flip),b,8074,a),flip(a)]. given #7306 (H,wt=17): 8083 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(77(a,1),8075(a,1,2,2))]. given #7307 (H,wt=21): 8077 (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). [hyper(116,a,8074,a(flip),b,6993,a)]. given #7308 (H,wt=21): 8084 x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(8083(a,2),2660(a,1,2))]. given #7309 (H,wt=29): 8085 x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(5723(a,1),8084(a,1,2))]. given #7310 (H,wt=29): 8086 x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(5688(a,1),8085(a,1,2))]. given #7311 (H,wt=25): 8087 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). [para(74(a,1),8086(a,1,2,1,1)),flip(a)]. given #7312 (H,wt=23): 8089 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). [hyper(273,a,8074,a(flip),b,8087,a),flip(a)]. given #7313 (H,wt=19): 8090 (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(8089(a,1),3698(a,1,1))]. given #7314 (H,wt=21): 8091 x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [hyper(34,a,7015,a,b,8090,a)]. given #7315 (H,wt=23): 8092 (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. [para(8091(a,1),6992(a,1,1))]. given #7316 (H,wt=33): 7061 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4263(a,1),7060(a,1,1,2))]. given #7317 (H,wt=27): 8093 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4263(a,1),7061(a,1,2))]. given #7318 (H,wt=24): 8094 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(273,a,5822,a(flip),b,8093,a),flip(a)]. given #7319 (H,wt=21): 8095 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7431(a,1),8094(a,1,1,1,1))]. given #7320 (H,wt=19): 8096 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6871(a,1),8095(a,1,1))]. given #7321 (H,wt=33): 7184 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(2037(a,2),7183(a,1,2))]. given #7322 (H,wt=33): 7811 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(7680(a,1),6508(a,1,2))]. given #7323 (H,wt=29): 8099 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(10(a,1),7811(a,1,2,2,1))]. given #7324 (H,wt=21): 8100 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6710,a,8099,a),flip(a)]. given #7325 (H,wt=34): 4485 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2815(a,2),4482(a,1,2,1)),flip(a)]. given #7326 (H,wt=32): 8102 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(62,a,6109,a(flip),b,4485,a),flip(a)]. given #7327 (H,wt=26): 8103 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(62,a,5844,a(flip),b,8102,a),flip(a)]. given #7328 (H,wt=20): 8105 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(62,a,5844,a(flip),b,8103,a),flip(a)]. given #7329 (H,wt=34): 4871 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4853(a,2),14(a,2,2,1)),flip(a)]. given #7330 (H,wt=34): 4989 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(636,a,4875,a),flip(a)]. given #7331 (H,wt=34): 4990 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = a(x,y,z * K(u \ 1,u)). [hyper(3119,a,4880,a),flip(a)]. given #7332 (H,wt=34): 5436 K(x,y) * (L(z,K(u,y),K(y,x)) * (K(u,y) * K(y,x))) = K(u,y) * T(z,K(y,x) * K(u,y)). [hyper(62,a,2237,a(flip),b,5388,a),flip(a)]. given #7333 (H,wt=34): 6559 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(6548(a,1),1117(a,1,2,2)),flip(a)]. given #7334 (H,wt=32): 8108 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(5163(a,2),6559(a,2,1,2))]. given #7335 (H,wt=30): 8110 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6425(a,1),8108(a,2,2))]. given #7336 (H,wt=23): 8112 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = R(x,y,T(z,u)). [hyper(273,a,20,a,b,8110,a),flip(a)]. given #7337 (H,wt=18): 8114 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [para(6548(a,1),8112(a,1,3))]. given #7338 (H,wt=34): 7686 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(7675(a,1),95(a,1,2,2,1))]. given #7339 (H,wt=34): 8078 (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(8074(a,1),766(a,2,1,1))]. given #7340 (H,wt=29): 8116 (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(6990(a,1),8078(a,1,1,2))]. given #7341 (H,wt=27): 8118 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. [para(8074(a,1),8116(a,1,1))]. given #7342 (H,wt=25): 8119 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. [para(8077(a,1),8118(a,2,1))]. given #7343 (H,wt=21): 8120 K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. [hyper(62,a,8092,a(flip),b,8119,a),flip(a)]. given #7344 (H,wt=21): 8121 (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. [hyper(62,a,6993,a(flip),b,8120,a)]. given #7345 (H,wt=34): 8107 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3779(a,1),4871(a,1,1,2))]. given #7346 (H,wt=34): 8122 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3779(a,1),8107(a,1,2))]. given #7347 (H,wt=34): 8123 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(62,a,4772,a(flip),b,8122,a)]. given #7348 (H,wt=34): 8124 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4876(a,1),8123(a,1,1))]. given #7349 (H,wt=27): 8125 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(14(a,2),8124(a,1,1,1))]. given #7350 (H,wt=15): 8126 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(2640,a,8125,a),flip(a)]. given #7351 (H,wt=15): 8129 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(3007(a,1),8126(a,1,2))]. given #7352 (H,wt=35): 5381 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(5368(a,1),1710(a,1,1,2,2,1)),flip(a)]. given #7353 (H,wt=35): 6181 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6180(a,1),5986(a,1,1,2,2))]. given #7354 (H,wt=35): 6550 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(6547(a,1),2448(a,1,1,1))]. given #7355 (H,wt=30): 8130 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(6547(a,1),6550(a,1,1,2,1,1)),flip(a)]. given #7356 (H,wt=26): 8131 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(9(a,1),8130(a,2,1,2,1))]. given #7357 (H,wt=21): 8132 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(6547(a,1),8131(a,1,1)),flip(a)]. given #7358 (H,wt=21): 8133 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(7176,a,8132,a),flip(a)]. given #7359 (H,wt=35): 6797 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1549(a,2),6796(a,2,2))]. given #7360 (H,wt=28): 8134 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(5206(a,1),6797(a,1,1,1))]. given #7361 (H,wt=28): 8135 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(27(a,2),8134(a,1,1))]. given #7362 (H,wt=24): 8136 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(4218(a,1),8135(a,1,2)),flip(a)]. given #7363 (H,wt=20): 8137 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(291,a,8136,a),flip(a)]. given #7364 (H,wt=18): 8138 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(273,a,7353,a(flip),b,8137,a),flip(a)]. given #7365 (H,wt=23): 8139 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(62,a,8027,a,b,8138,a)]. given #7366 (H,wt=35): 6826 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(6823(a,1),4974(a,1,2)),flip(a)]. given #7367 (H,wt=33): 8140 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(273,a,4808,a(flip),b,6826,a),flip(a)]. given #7368 (H,wt=33): 8141 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(273,a,1140,a(flip),b,8140,a),flip(a)]. given #7369 (H,wt=25): 8142 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1754(a,1),8141(a,1,2))]. given #7370 (H,wt=21): 8143 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(115,a,5053,a(flip),b,8142,a)]. given #7371 (H,wt=35): 6950 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(6153(a,1),6037(a,1,2,2,2))]. given #7372 (H,wt=35): 7035 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(4356(a,2),7034(a,1,2,1,1))]. given #7373 (H,wt=35): 7194 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(77(a,1),7093(a,1,1,2)),flip(a)]. given #7374 (H,wt=31): 8145 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(77(a,1),7194(a,2,2,2,1,1,2))]. given #7375 (H,wt=27): 8146 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(77(a,1),8145(a,1,2))]. given #7376 (H,wt=25): 8147 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(8146(a,1),7075(a,1,1))]. given #7377 (H,wt=19): 8148 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6809,a,8147,a)]. given #7378 (H,wt=31): 8149 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(108(a,1),8148(a,1,2,2)),flip(a)]. given #7379 (H,wt=31): 8150 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(273,a,7501,a(flip),b,8149,a),flip(a)]. given #7380 (H,wt=35): 7718 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(7391(a,1),5495(a,1,1,2))]. given #7381 (H,wt=33): 8151 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5137(a,1),7718(a,1,1))]. given #7382 (H,wt=21): 8152 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(636,a,8151,a),flip(a)]. given #7383 (H,wt=23): 8153 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5489(a,1),8152(a,1,2)),flip(a)]. given #7384 (H,wt=35): 8144 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6830(a,1),6950(a,1,2,2))]. given #7385 (H,wt=36): 4604 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(4603(a,1),4497(a,2,2))]. given #7386 (H,wt=32): 8154 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(5224(a,1),4604(a,1,1,1,1))]. given #7387 (H,wt=28): 8155 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6892(a,1),8154(a,1,1))]. given #7388 (H,wt=24): 8156 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(273,a,5730,a(flip),b,8155,a),flip(a)]. given #7389 (H,wt=24): 8157 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(30(a,1),8156(a,1,1,2))]. given #7390 (H,wt=36): 6709 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6508(a,1),4113(a,1,2,2)),flip(a)]. given #7391 (H,wt=34): 8158 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(5138(a,1),6709(a,2,2))]. given #7392 (H,wt=22): 8159 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(273,a,6491,a(flip),b,8158,a),flip(a)]. given #7393 (H,wt=18): 8161 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(62,a,4654,a(flip),b,8159,a)]. given #7394 (H,wt=36): 6790 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(230(a,1),6787(a,1,1))]. given #7395 (H,wt=21): 8162 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(62,a,2159,a(flip),b,6790,a),flip(a)]. given #7396 (H,wt=36): 7974 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(7967(a,1),5835(a,1,1,1,2))]. given #7397 (H,wt=25): 8165 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(62,a,5835,a(flip),b,7974,a),flip(a)]. given #7398 (H,wt=36): 8054 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(8053(a,1),1933(a,1,1,1,1))]. given #7399 (H,wt=24): 8167 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(11(a,1),8054(a,1,1,1)),flip(a)]. given #7400 (H,wt=37): 4949 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4913(a,1),4901(a,1,1))]. given #7401 (H,wt=37): 4992 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. [para(4880(a,1),3119(a,1))]. given #7402 (H,wt=37): 6147 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6146(a,1),2029(a,1,2,1,1))]. given #7403 (H,wt=31): 8169 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1015(a,1),6147(a,2,1))]. given #7404 (H,wt=37): 6148 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6146(a,2),2029(a,1,1))]. given #7405 (H,wt=27): 8170 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(62,a,8169,a(flip),b,6148,a),flip(a)]. given #7406 (H,wt=21): 8171 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1015(a,1),8170(a,1,1)),flip(a)]. given #7407 (H,wt=37): 6310 x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). [para(6297(a,1),3205(a,1,2))]. given #7408 (H,wt=29): 8172 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). [para(10(a,1),6310(a,1,2,1,1,2)),flip(a)]. given #7409 (H,wt=25): 8173 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). [para(6544(a,1),8172(a,2,2))]. given #7410 (H,wt=19): 8174 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). [para(6464(a,1),8173(a,2,2))]. given #7411 (H,wt=15): 8175 (x * y) * ((y * x) \ y) = y * K(x,y). [para(5132(a,1),8174(a,1,1))]. given #7412 (H,wt=17): 8177 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(274,a,8175,a)]. given #7413 (H,wt=15): 8178 (x * (y / x)) \ x = y \ (y / (y / x)). [para(5208(a,2),8177(a,1,2)),flip(a)]. given #7414 (H,wt=15): 8179 x * ((y * (x / y)) \ y) = x / (x / y). [hyper(131,a,8178,a(flip))]. given #7415 (H,wt=37): 6521 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). [para(6445(a,1),1935(a,1,2,2,1,2)),flip(a)]. given #7416 (H,wt=33): 8180 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). [para(9(a,1),6521(a,2,2,2,1))]. given #7417 (H,wt=38): 4360 T(x / T(y,x),z) * T(y,y * T(T(y,x) \ x,z)) = L(y,T(x / T(y,x),z),y) * T(x / T(y,x),z). [para(4104(a,1),4313(a,1,2,2))]. given #7418 (H,wt=38): 4519 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. [para(707(a,1),4518(a,1,1,1,1)),flip(a)]. given #7419 (H,wt=27): 8182 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. [para(6140(a,2),4519(a,2,1,1))]. given #7420 (H,wt=24): 8183 T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. [para(707(a,1),8182(a,1,1,2))]. given #7421 (H,wt=13): 8184 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6137(a,2),8183(a,1,1)),flip(a)]. given #7422 (H,wt=13): 8185 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(176,a,8184,a)]. given #7423 (H,wt=15): 8187 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(8184(a,1),5110(a,2,2)),flip(a)]. given #7424 (H,wt=11): 8190 K(K(x,y),z) = K(z,K(y,x)). [hyper(5460,a,8187,a)]. given #7425 (H,wt=13): 8196 x * K(K(y,z),x) = T(x,K(z,y)). [para(8190(a,2),5163(a,2,2)),flip(a)]. given #7426 (H,wt=11): 8201 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5313,a,8196,a)]. given #7427 (H,wt=13): 8198 K(x,K(y,z)) * K(x,K(z,y)) = 1. [para(8190(a,1),5371(a,1,1))]. given #7428 (H,wt=14): 8193 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(8187(a,1),5460(a,1))]. given #7429 (H,wt=14): 8204 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(8196(a,1),5313(a,1))]. given #7430 (H,wt=14): 8207 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(8201(a,1),48(a,1)),flip(a)]. given #7431 (H,wt=12): 8212 x != y | T(y,K(z \ 1,z)) = x. [para(3001(a,1),8207(a,1))]. given #7432 (H,wt=14): 8209 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(2223(a,1),8204(a,1,1)),flip(b)]. given #7433 (H,wt=14): 8210 T(K(x,y),K(y,z)) != u | K(x,y) = u. [para(7481(a,1),8204(a,1,1)),flip(b)]. given #7434 (H,wt=14): 8211 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(7507(a,1),8204(a,1,1)),flip(b)]. given #7435 (H,wt=15): 8191 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(2234,a,8187,a)]. given #7436 (H,wt=15): 8195 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7460(a,2),8187(a,1,2))]. given #7437 (H,wt=15): 8197 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(8190(a,1),5173(a,2,1)),flip(a)]. given #7438 (H,wt=15): 8202 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(62,a,5176,a(flip),b,8196,a),flip(a)]. given #7439 (H,wt=15): 8203 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(8196(a,1),5174(a,1,1))]. given #7440 (H,wt=15): 8206 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(7602,a,8201,a),flip(a)]. given #7441 (H,wt=11): 8218 (x * K(y,z)) * K(z,y) = x. [hyper(39,a,5418,a(flip),b,8206,a),flip(a)]. given #7442 (H,wt=11): 8224 x / K(y,z) = x * K(z,y). [hyper(279,a,8218,a),flip(a)]. given #7443 (H,wt=11): 8226 (x * K(y,z)) \ x = K(z,y). [hyper(122,a,8218,a)]. given #7444 (H,wt=11): 8248 T(x,y * K(z,x)) = T(x,y). [para(8218(a,1),7907(a,1,2)),flip(a)]. given #7445 (H,wt=12): 8272 K(x,y) != z | 1 / K(y,x) = z. [para(8226(a,1),186(a,1))]. given #7446 (H,wt=13): 8223 (x \ y) * K(y,x) = x \ T(y,x). [hyper(6482,a,8218,a),flip(a)]. given #7447 (H,wt=13): 8229 (x * T(y,z)) * K(z,y) = x * y. [hyper(34,a,6425,a,b,8218,a),flip(a)]. given #7448 (H,wt=13): 8230 (x / y) * K(z,y) = x / T(y,z). [hyper(34,a,6421,a,b,8218,a),flip(a)]. given #7449 (H,wt=13): 8231 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(34,a,5611,a,b,8218,a),flip(a)]. given #7450 (H,wt=13): 8234 (x * K(y,z)) / z = x / T(z,y). [hyper(116,a,8218,a(flip),b,6424,a),flip(a)]. given #7451 (H,wt=13): 8245 (x * K(y,z)) * T(z,y) = x * z. [para(8218(a,1),6411(a,1,1)),flip(a)]. given #7452 (H,wt=13): 8252 (x / T(y,z)) / K(z,y) = x / y. [hyper(273,a,6421,a(flip),b,8224,a),flip(a)]. given #7453 (H,wt=13): 8254 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(115,a,6468,a(flip),b,8224,a(flip))]. given #7454 (H,wt=13): 8261 x / (K(y,z) \ 1) = x * K(y,z). [para(5368(a,2),8224(a,1,2))]. given #7455 (H,wt=13): 8271 (x / T(y,z)) * y = x * K(z,y). [hyper(38,a,6471,a,b,8226,a)]. given #7456 (H,wt=13): 8287 (x / y) * K(x,y) = T(x,y) / y. [hyper(273,a,4222,a,b,8230,a),flip(a)]. given #7457 (H,wt=13): 8300 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(122,a,8245,a)]. given #7458 (H,wt=14): 8238 x * K(y,z) != u | u * K(z,y) = x. [para(8218(a,1),43(a,1)),flip(a)]. given #7459 (H,wt=14): 8239 x / K(y,z) != u | x * K(z,y) = u. [para(8218(a,1),280(a,1,1))]. given #7460 (H,wt=12): 8328 T(x,y) != z | x * K(x,y) = z. [para(5117(a,2),8239(a,1))]. given #7461 (H,wt=14): 8240 (x * K(y,z)) \ x != u | K(z,y) = u. [para(8218(a,1),288(a,1,2))]. given #7462 (H,wt=14): 8249 K(x,y) != z | K(x,y * K(x,u)) = z. [para(8218(a,1),7932(a,1,2))]. given #7463 (H,wt=14): 8256 (x * K(y,z)) * K(z,y) != u | u = x. [para(8224(a,1),330(a,1,1))]. given #7464 (H,wt=14): 8266 K(x,y / K(z,x)) != u | K(x,y) = u. [para(8224(a,2),7908(a,1,2))]. given #7465 (H,wt=14): 8337 x * K(y,z) != u | x / K(z,y) = u. [para(12(a,1),8256(a,1,1)),flip(b)]. given #7466 (H,wt=15): 8213 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(62,a,6663,a(flip),b,8191,a)]. given #7467 (H,wt=15): 8214 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [para(8195(a,1),7540(a,1,1))]. given #7468 (H,wt=15): 8233 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(34,a,6600,a(flip),b,8218,a),flip(a)]. given #7469 (H,wt=15): 8247 K(x * (y * K(z,u)),u) = K(x * y,u). [para(8218(a,1),7857(a,1,1,2)),flip(a)]. given #7470 (H,wt=15): 8250 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(8218(a,1),7937(a,1,1,1)),flip(a)]. given #7471 (H,wt=15): 8251 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(8218(a,1),8002(a,1,2)),flip(a)]. given #7472 (H,wt=15): 8265 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7501(a,1),8224(a,1,2))]. given #7473 (H,wt=15): 8269 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(273,a,7501,a(flip),b,8226,a),flip(a)]. given #7474 (H,wt=15): 8274 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(8226(a,2),5388(a,1,1))]. given #7475 (H,wt=15): 8275 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6455(a,2),8226(a,1,1))]. given #7476 (H,wt=15): 8282 x \ T(x * y,x) = y * K(x * y,x). [para(9(a,1),8223(a,1,1)),flip(a)]. given #7477 (H,wt=13): 8355 K((x \ 1) \ y,x) = K(x * y,x). [hyper(33,a,6505,a(flip),b,8282,a(flip))]. given #7478 (H,wt=13): 8357 K((1 / x) \ y,x) = K(x * y,x). [hyper(62,a,5674,a,b,8355,a)]. given #7479 (H,wt=15): 8286 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(8229(a,1),6411(a,1,1)),flip(a)]. given #7480 (H,wt=15): 8295 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(8234(a,1),110(a,1,1))]. given #7481 (H,wt=15): 8302 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(115,a,10,a(flip),b,8245,a)]. given #7482 (H,wt=15): 8340 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(62,a,8190,a(flip),b,8213,a),flip(a)]. given #7483 (H,wt=15): 8352 x * (y * K(x * y,x)) = T(x * y,x). [hyper(131,a,8282,a)]. given #7484 (H,wt=15): 8356 x \ T(x * y,x) = y * K(y * x,x). [para(5626(a,2),8282(a,2,2))]. given #7485 (H,wt=15): 8367 T(x / y,z) \ x = y * K(z,y \ x). [hyper(38,a,7329,a,b,8302,a)]. given #7486 (H,wt=15): 8371 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(115,a,8367,a,b,xx)]. given #7487 (H,wt=16): 8199 K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. [para(8190(a,1),5391(a,1,1))]. given #7488 (H,wt=16): 8305 (x * K(y,z)) \ (x * z) != u | T(z,y) = u. [para(8245(a,1),288(a,1,2))]. given #7489 (H,wt=16): 8308 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(8252(a,1),222(a,1,1))]. given #7490 (H,wt=16): 8310 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(8254(a,1),225(a,1,2))]. given #7491 (H,wt=16): 8316 (x * K(y,z)) / z != u | x / T(z,y) = u. [para(8271(a,1),280(a,1,1))]. given #7492 (H,wt=14): 8377 K(x,y) / y != z | 1 / T(y,x) = z. [para(7(a,1),8316(a,1,1))]. given #7493 (H,wt=17): 8189 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(8009(a,1),8185(a,1,2)),flip(a)]. given #7494 (H,wt=15): 8378 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(273,a,5370,a(flip),b,8189,a),flip(a)]. given #7495 (H,wt=17): 8194 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6657(a,1),8187(a,1,2))]. given #7496 (H,wt=13): 8380 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(62,a,8195,a(flip),b,8194,a),flip(a)]. given #7497 (H,wt=13): 8381 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(62,a,8340,a,b,8380,a)]. given #7498 (H,wt=13): 8382 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(10(a,1),8380(a,1,1)),flip(a)]. given #7499 (H,wt=17): 8222 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(6669,a,8218,a),flip(a)]. given #7500 (H,wt=17): 8228 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(34,a,6601,a,b,8218,a),flip(a)]. given #7501 (H,wt=17): 8246 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(8218(a,1),7081(a,1,1)),flip(a)]. given #7502 (H,wt=17): 8263 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(8224(a,1),5857(a,2,2))]. given #7503 (H,wt=17): 8273 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) = K(x,y). [para(3470(a,1),8226(a,1,1))]. given #7504 (H,wt=17): 8276 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(6505(a,2),8226(a,1,1))]. given #7505 (H,wt=17): 8290 (x * y) / T(T(x,y),z) = y * K(z,T(x,y)). [para(170(a,1),8230(a,1,1)),flip(a)]. given #7506 (H,wt=15): 8388 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(273,a,7476,a(flip),b,8290,a),flip(a)]. given #7507 (H,wt=17): 8292 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [para(7501(a,1),8230(a,1,2))]. given #7508 (H,wt=17): 8293 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(8230(a,1),7857(a,1,1,2))]. given #7509 (H,wt=17): 8296 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(110(a,1),8234(a,2,2))]. given #7510 (H,wt=17): 8306 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6612(a,1),8245(a,1,1)),flip(a)]. given #7511 (H,wt=17): 8313 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(212,a,8261,a(flip),b,5387,a),flip(a)]. given #7512 (H,wt=17): 8315 x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. [hyper(34,a,6145,a,b,8271,a),flip(a)]. given #7513 (H,wt=17): 8326 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7501(a,1),8300(a,1,1,2))]. given #7514 (H,wt=17): 8344 K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). [para(1569(a,1),8250(a,1,1,1,2))]. given #7515 (H,wt=15): 8396 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(7482(a,1),8344(a,1,1,1))]. given #7516 (H,wt=17): 8346 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(8274(a,1),7454(a,1,1)),flip(a)]. given #7517 (H,wt=17): 8353 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(62,a,4623,a,b,8282,a)]. given #7518 (H,wt=17): 8358 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(62,a,5681,a(flip),b,8355,a),flip(a)]. given #7519 (H,wt=17): 8383 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(279,a,8222,a),flip(a)]. given #7520 (H,wt=17): 8395 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [hyper(171,a,8315,a),flip(a)]. given #7521 (H,wt=17): 8400 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(7662,a,8358,a)]. given #7522 (H,wt=18): 8205 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(8196(a,1),5332(a,1,1))]. given #7523 (H,wt=18): 8258 (x * K(y,z)) * K(z,y) != u * w | x / w = u. [para(8224(a,1),277(a,1))]. given #7524 (H,wt=18): 8280 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(8226(a,2),7655(a,1))]. given #7525 (H,wt=18): 8317 x * K(y,z) != z * u | T(x / T(z,y),z) = u. [para(8271(a,1),213(a,2)),flip(a)]. given #7526 (H,wt=18): 8318 x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. [para(8271(a,1),291(a,1,2))]. given #7527 (H,wt=18): 8327 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7501(a,1),8238(a,1,2))]. given #7528 (H,wt=18): 8329 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7501(a,1),8239(a,1,2))]. given #7529 (H,wt=18): 8333 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(6455(a,2),8240(a,1,1))]. given #7530 (H,wt=18): 8338 (x / ((y * z) / y)) * K(y,z) != u | x / z = u. [para(6600(a,2),8256(a,1,1)),flip(b)]. given #7531 (H,wt=18): 8345 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(6260(a,1),8251(a,1,2,2))]. given #7532 (H,wt=18): 8385 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(8228(a,1),7908(a,1,2))]. given #7533 (H,wt=19): 8192 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(62,a,6712,a,b,8187,a)]. given #7534 (H,wt=17): 8408 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7482(a,1),8192(a,1,2,2))]. given #7535 (H,wt=17): 8409 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6636(a,2),8408(a,1,2))]. given #7536 (H,wt=13): 8410 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5239,a,8409,a)]. given #7537 (H,wt=11): 8411 K(x,K(y,z)) = K(z,K(y,x)). [hyper(62,a,8381,a(flip),b,8410,a)]. given #7538 (H,wt=11): 8412 K(K(x,y),z) = K(x,K(y,z)). [hyper(8193,a,8411,a)]. given #7539 (H,wt=13): 8413 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(273,a,8410,a(flip),b,8411,a),flip(a)]. given #7540 (H,wt=13): 8416 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8411(a,1),5163(a,2,2)),flip(a)]. given #7541 (H,wt=11): 8439 T(x,T(y,K(z,x))) = T(x,y). [para(8416(a,1),7907(a,1,2))]. given #7542 (H,wt=13): 8419 K(x,K(y,z)) * K(z,K(x,y)) = 1. [para(8411(a,1),8198(a,1,1))]. given #7543 (H,wt=11): 8440 K(x,K(y,z)) = K(y,K(x,z)). [hyper(8199,a,8419,a)]. given #7544 (H,wt=11): 8441 K(K(x,y),z) = K(y,K(z,x)). [hyper(5391,a,8419,a)]. given #7545 (H,wt=11): 8442 K(K(x,y),z) = K(y,K(x,z)). [hyper(273,a,8412,a,b,8440,a)]. given #7546 (H,wt=11): 8443 K(x,K(y,z)) = K(z,K(x,y)). [hyper(273,a,8411,a,b,8440,a),flip(a)]. given #7547 (H,wt=11): 8455 K(K(x,y),z) = K(x,K(z,y)). [hyper(273,a,8411,a,b,8441,a),flip(a)]. given #7548 (H,wt=11): 8457 K(K(x,y),z) = K(z,K(x,y)). [hyper(273,a,8411,a,b,8442,a),flip(a)]. given #7549 (H,wt=11): 8458 K(x,K(y,z)) = K(x,K(z,y)). [hyper(62,a,8441,a(flip),b,8442,a)]. given #7550 (H,wt=13): 8423 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(8412(a,1),5118(a,1,2))]. given #7551 (H,wt=13): 8436 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6724(a,1),8413(a,1,2))]. given #7552 (H,wt=13): 8444 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(273,a,8380,a(flip),b,8440,a),flip(a)]. given #7553 (H,wt=13): 8445 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8440(a,1),5163(a,2,2)),flip(a)]. given #7554 (H,wt=13): 8446 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8440(a,1),5173(a,2,1)),flip(a)]. given #7555 (H,wt=13): 8454 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8440(a,1),8416(a,1,2))]. given #7556 (H,wt=11): 8502 T(x,K(y,z)) = T(x,K(z,y)). [hyper(62,a,8416,a(flip),b,8454,a)]. given #7557 (H,wt=11): 8503 T(T(x,K(y,z)),K(y,z)) = x. [hyper(8207,a,8502,a)]. given #7558 (H,wt=13): 8463 x * K(K(y,z),x) = T(x,K(y,z)). [para(8442(a,2),8416(a,1,2))]. given #7559 (H,wt=13): 8464 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(273,a,8382,a(flip),b,8443,a),flip(a)]. given #7560 (H,wt=13): 8466 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8443(a,2),5173(a,2,1)),flip(a)]. given #7561 (H,wt=13): 8477 x * K(x,K(y,z)) = T(x,K(z,y)). [para(8443(a,1),8416(a,1,2))]. given #7562 (H,wt=13): 8478 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8443(a,1),8419(a,1,1))]. given #7563 (H,wt=13): 8486 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(273,a,8413,a,b,8458,a)]. given #7564 (H,wt=9): 8517 K(x,K(y,x * y)) = 1. [hyper(273,a,3149,a(flip),b,8486,a),flip(a)]. given #7565 (H,wt=9): 8519 T(x,K(y,x * y)) = x. [hyper(55,a,8517,a)]. given #7566 (H,wt=11): 8520 T(x / y,K(y,x)) = x / y. [para(12(a,1),8519(a,1,2,2))]. given #7567 (H,wt=13): 8487 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8458(a,1),5173(a,2,1)),flip(a)]. given #7568 (H,wt=13): 8495 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(273,a,8440,a,b,8436,a),flip(a)]. given #7569 (H,wt=13): 8496 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(10(a,1),8436(a,1,2,2)),flip(a)]. given #7570 (H,wt=13): 8499 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(273,a,8440,a,b,8444,a),flip(a)]. given #7571 (H,wt=13): 8514 (x * K(y,z)) / x = T(K(y,z),x). [para(8503(a,1),4385(a,1,2))]. given #7572 (H,wt=11): 8528 T(T(K(x,y),z),z) = K(x,y). [para(8514(a,1),198(a,1,1))]. given #7573 (H,wt=11): 8535 T(K(x,T(y,z)),z) = K(x,y). [hyper(39,a,7460,a(flip),b,8528,a),flip(a)]. given #7574 (H,wt=11): 8541 K(x,T(T(y,z),z)) = K(x,y). [hyper(7653,a,8535,a)]. given #7575 (H,wt=11): 8542 K(T(x,y),T(z,y)) = K(x,z). [hyper(7600,a,8535,a)]. given #7576 (H,wt=13): 8521 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(62,a,8440,a,b,8495,a)]. given #7577 (H,wt=13): 8522 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(273,a,8443,a,b,8496,a),flip(a)]. given #7578 (H,wt=13): 8526 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(10(a,1),8499(a,1,2,1)),flip(a)]. given #7579 (H,wt=13): 8527 T(K(x,y),z) * z = z * K(x,y). [hyper(129,a,8514,a)]. given #7580 (H,wt=13): 8533 T(K(x,y \ z),z) = K(x,z / y). [hyper(39,a,6647,a,b,8528,a),flip(a)]. given #7581 (H,wt=13): 8534 T(K(x \ y,z),y) = K(y / x,z). [hyper(39,a,6524,a,b,8528,a),flip(a)]. given #7582 (H,wt=13): 8543 x / (x / K(y,z)) = K(y,T(z,x)). [hyper(7422,a,8535,a)]. given #7583 (H,wt=13): 8545 K(x \ y,T(z,y)) = K(y / x,z). [hyper(62,a,6524,a(flip),b,8535,a)]. given #7584 (H,wt=13): 8546 K(x,T(y \ z,z)) = K(x,z / y). [hyper(39,a,6647,a,b,8535,a),flip(a)]. given #7585 (H,wt=13): 8548 K(x,T(y,z)) * z = z * K(x,y). [para(8535(a,1),108(a,1,2)),flip(a)]. given #7586 (H,wt=13): 8549 T(K(x,y \ z),y) = K(x,z / y). [para(110(a,1),8535(a,1,1,2))]. given #7587 (H,wt=13): 8553 T(K(x \ y,z),x) = K(y / x,z). [para(7518(a,1),8535(a,1,1))]. given #7588 (H,wt=13): 8558 K(x \ y,T(z,x)) = K(y / x,z). [hyper(62,a,7518,a(flip),b,8541,a)]. given #7589 (H,wt=13): 8559 K(x,T(y \ z,y)) = K(x,z / y). [para(110(a,1),8541(a,1,2,1))]. given #7590 (H,wt=13): 8560 K(x,(y * z) / y) = K(x,T(z,y)). [para(198(a,1),8541(a,1,2,1)),flip(a)]. given #7591 (H,wt=13): 8565 K(T(x,y),z \ y) = K(x,y / z). [hyper(62,a,7462,a(flip),b,8542,a)]. given #7592 (H,wt=13): 8566 K(x / (x / y),z) = K(y,T(z,x)). [hyper(62,a,7455,a(flip),b,8542,a),flip(a)]. given #7593 (H,wt=13): 8569 K(T(x,y),y \ z) = K(x,z / y). [para(110(a,1),8542(a,1,2))]. given #7594 (H,wt=13): 8570 K((x * y) / x,z) = K(y,T(z,x)). [para(198(a,1),8542(a,1,1)),flip(a)]. given #7595 (H,wt=13): 8571 K(x,(y * z) / y) = K(T(x,y),z). [para(198(a,1),8542(a,1,2)),flip(a)]. given #7596 (H,wt=13): 8579 K(x * K(y,x),z) = K(x,T(z,y)). [para(5134(a,1),8542(a,1,1)),flip(a)]. given #7597 (H,wt=13): 8580 K(x,y * K(z,y)) = K(T(x,z),y). [para(5134(a,1),8542(a,1,2)),flip(a)]. given #7598 (H,wt=13): 8581 x * K(T(x,y),T(z,y)) = T(x,z). [para(8542(a,2),5163(a,2,2)),flip(a)]. given #7599 (H,wt=13): 8588 K(T(x,y),z) * y = y * K(x,z). [para(8542(a,1),7476(a,1,2)),flip(a)]. given #7600 (H,wt=13): 8589 K(x,T(y,z)) \ z = z * K(y,x). [para(8542(a,1),7560(a,1,2)),flip(a)]. given #7601 (H,wt=13): 8590 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8542(a,1),7564(a,1,2,2))]. given #7602 (H,wt=13): 8611 K(x,y / (y / z)) = K(x,T(z,y)). [para(77(a,1),8546(a,1,2,1)),flip(a)]. given #7603 (H,wt=13): 8636 K(x,y / (y / z)) = K(T(x,y),z). [para(77(a,1),8565(a,1,2)),flip(a)]. given #7604 (H,wt=14): 8420 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(8411(a,1),8193(a,1))]. given #7605 (H,wt=14): 8510 T(x,K(y,z)) != u | T(u,K(y,z)) = x. [para(8502(a,1),8207(a,1))]. given #7606 (H,wt=14): 8515 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8503(a,1),8204(a,1,1)),flip(b)]. given #7607 (H,wt=14): 8518 K(x,K(y,x * y)) = a(K(z,u),u,w). [hyper(273,a,4558,a,b,8517,a),flip(a)]. given #7608 (H,wt=14): 8539 T(x,y) != K(z,u) | T(K(z,u),y) = x. [para(8528(a,1),48(a,1)),flip(a)]. given #7609 (H,wt=14): 8547 T(x,y) != K(z,u) | K(z,T(u,y)) = x. [para(8535(a,1),48(a,1)),flip(a)]. given #7610 (H,wt=14): 8554 K(x,y) != z | K(T(x,u),T(y,u)) = z. [para(8535(a,1),7600(a,1))]. given #7611 (H,wt=14): 8603 K(x / y,x) != z | K(y \ x,x) = z. [para(8534(a,1),3225(a,1))]. given #7612 (H,wt=14): 8622 K(x / y,y) != z | K(y \ x,y) = z. [para(8553(a,1),3225(a,1))]. given #7613 (H,wt=14): 8672 K(x,K(y,y * x)) = a(K(z,u),u,w). [hyper(62,a,8440,a,b,8518,a)]. given #7614 (H,wt=15): 8415 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8411(a,1),5126(a,2,1)),flip(a)]. given #7615 (H,wt=15): 8421 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8411(a,1),8197(a,1,1))]. given #7616 (H,wt=15): 8424 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8412(a,1),5163(a,2,2)),flip(a)]. given #7617 (H,wt=15): 8433 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(7875(a,1),8412(a,1,1)),flip(a)]. given #7618 (H,wt=15): 8438 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8416(a,1),7704(a,1,2,2))]. given #7619 (H,wt=15): 8452 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6724(a,2),8440(a,1,2))]. given #7620 (H,wt=15): 8456 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8441(a,1),5163(a,2,2)),flip(a)]. given #7621 (H,wt=15): 8459 K(x,y) * K(y,K(x,z)) = T(K(x,y),z). [para(8442(a,1),5163(a,2,2)),flip(a)]. given #7622 (H,wt=15): 8460 K(x,K(y,z)) * K(y,x) = T(K(y,x),z). [para(8442(a,1),5173(a,2,1)),flip(a)]. given #7623 (H,wt=15): 8473 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7501(a,1),8443(a,1,2))]. given #7624 (H,wt=15): 8476 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8443(a,2),8214(a,1,1))]. given #7625 (H,wt=15): 8481 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(8457(a,1),5163(a,2,2)),flip(a)]. given #7626 (H,wt=15): 8491 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7498(a,1),8458(a,1,2)),flip(a)]. given #7627 (H,wt=15): 8492 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(7501(a,1),8458(a,1,2))]. given #7628 (H,wt=15): 8497 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(7152(a,1),8436(a,1,2)),flip(a)]. given #7629 (H,wt=9): 8695 K(x,K(y,x \ y)) = 1. [hyper(62,a,2139,a(flip),b,8497,a),flip(a)]. given #7630 (H,wt=9): 8696 T(x,K(y,x \ y)) = x. [hyper(55,a,8695,a)]. given #7631 (H,wt=15): 8504 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(8058,a,8502,a),flip(a)]. given #7632 (H,wt=15): 8505 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(273,a,7604,a,b,8502,a)]. given #7633 (H,wt=15): 8506 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(273,a,5418,a,b,8502,a)]. given #7634 (H,wt=15): 8507 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(273,a,8206,a(flip),b,8502,a),flip(a)]. given #7635 (H,wt=15): 8508 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(8502(a,1),108(a,1,2))]. given #7636 (H,wt=15): 8511 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(8502(a,1),8203(a,1,1))]. given #7637 (H,wt=15): 8523 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(8496(a,1),5163(a,2,2))]. given #7638 (H,wt=13): 8706 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(273,a,5163,a,b,8523,a),flip(a)]. given #7639 (H,wt=13): 8708 T(x,K(y,y * z)) = T(x,K(y,z)). [para(9(a,1),8706(a,1,2,2)),flip(a)]. given #7640 (H,wt=13): 8709 T(x,K(y,z / y)) = T(x,K(y,z)). [para(5357(a,2),8706(a,1,2))]. given #7641 (H,wt=13): 8711 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(273,a,8502,a,b,8708,a),flip(a)]. given #7642 (H,wt=13): 8712 T(K(x,y),K(z,z * x)) = K(x,y). [hyper(273,a,2223,a(flip),b,8708,a),flip(a)]. given #7643 (H,wt=15): 8524 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(6218(a,1),8496(a,1,2))]. given #7644 (H,wt=15): 8532 T(K(x \ 1,y),z) = K(x \ K(x,z),y). [hyper(6745,a,8528,a),flip(a)]. given #7645 (H,wt=15): 8536 T(K(1 / T(x,y),z),y) = K(1 / x,z). [hyper(39,a,6152,a(flip),b,8528,a),flip(a)]. given #7646 (H,wt=15): 8537 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [hyper(39,a,6033,a(flip),b,8528,a),flip(a)]. given #7647 (H,wt=15): 8538 T(K(x,T(y,z) \ 1),z) = K(x,y \ 1). [hyper(39,a,6024,a(flip),b,8528,a),flip(a)]. given #7648 (H,wt=15): 8562 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8541(a,1),7524(a,1,1)),flip(a)]. given #7649 (H,wt=15): 8577 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4278(a,1),8542(a,1,2))]. given #7650 (H,wt=13): 8726 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(273,a,8636,a(flip),b,8577,a),flip(a)]. given #7651 (H,wt=15): 8592 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(8542(a,1),7828(a,1,1,1))]. given #7652 (H,wt=15): 8595 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(5354(a,1),8526(a,2,2))]. given #7653 (H,wt=15): 8596 K(x \ y,z) * y = y * K(y / x,z). [para(6524(a,1),8527(a,1,1))]. given #7654 (H,wt=15): 8597 K(x,y \ z) * z = z * K(x,z / y). [para(6647(a,1),8527(a,1,1))]. given #7655 (H,wt=15): 8598 K(x / y,x / z) = K(y \ x,z \ x). [hyper(62,a,6524,a(flip),b,8533,a),flip(a)]. given #7656 (H,wt=15): 8602 K(x \ y,z) \ (y * K(y / x,z)) = y. [para(8534(a,1),200(a,1,2,2))]. given #7657 (H,wt=15): 8604 x / K(x / y,z) = K(y \ x,z) \ x. [para(8534(a,1),7412(a,1,2))]. given #7658 (H,wt=15): 8612 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5610,a,8548,a)]. given #7659 (H,wt=15): 8615 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(116,a,8548,a(flip),b,5138,a)]. given #7660 (H,wt=15): 8618 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8548(a,1),7965(a,1,1,2))]. given #7661 (H,wt=15): 8620 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(273,a,5837,a,b,8553,a),flip(a)]. given #7662 (H,wt=15): 8624 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(7128,a,8558,a)]. given #7663 (H,wt=15): 8676 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(273,a,7460,a,b,8424,a),flip(a)]. given #7664 (H,wt=15): 8680 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(273,a,8412,a(flip),b,8433,a),flip(a)]. given #7665 (H,wt=15): 8681 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(62,a,7460,a(flip),b,8438,a)]. given #7666 (H,wt=15): 8686 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(62,a,8440,a,b,8473,a)]. given #7667 (H,wt=15): 8690 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(8238,a,8476,a)]. given #7668 (H,wt=15): 8700 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(8224(a,2),8506(a,1,2))]. given #7669 (H,wt=15): 8710 T(K(x * y,z),K(x,y)) = K(x * y,z). [hyper(8211,a,8708,a),flip(a)]. given #7670 (H,wt=15): 8714 T(x * y,T(z,K(x,y))) = T(x * y,z). [para(8708(a,1),8439(a,1,2))]. given #7671 (H,wt=15): 8716 T(K(x,x * y),K(y,z)) = K(x,x * y). [hyper(53,a,8712,a)]. given #7672 (H,wt=15): 8717 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(62,a,8458,a,b,8524,a),flip(a)]. given #7673 (H,wt=13): 8746 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(273,a,8496,a(flip),b,8717,a),flip(a)]. given #7674 (H,wt=13): 8747 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(74(a,1),8746(a,1,2,1)),flip(a)]. given #7675 (H,wt=13): 8748 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(62,a,8458,a,b,8747,a)]. given #7676 (H,wt=13): 8749 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(273,a,8458,a,b,8748,a),flip(a)]. given #7677 (H,wt=13): 8750 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(62,a,8497,a,b,8748,a)]. given #7678 (H,wt=13): 8751 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(62,a,8497,a,b,8749,a)]. given #7679 (H,wt=13): 8752 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(273,a,8440,a,b,8750,a),flip(a)]. given #7680 (H,wt=13): 8753 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(62,a,8458,a,b,8750,a)]. given #7681 (H,wt=13): 8754 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(62,a,8443,a(flip),b,8750,a)]. given #7682 (H,wt=13): 8755 K(x,K(y \ 1,z)) = K(x,K(z,y)). [para(3635(a,1),8750(a,1,2)),flip(a)]. given #7683 (H,wt=13): 8757 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(62,a,8443,a,b,8751,a)]. given #7684 (H,wt=13): 8758 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(62,a,8443,a(flip),b,8751,a)]. given #7685 (H,wt=13): 8759 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(77(a,1),8751(a,1,2,2)),flip(a)]. given #7686 (H,wt=13): 8765 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(62,a,8458,a,b,8752,a)]. given #7687 (H,wt=13): 8766 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(62,a,8443,a(flip),b,8752,a)]. given #7688 (H,wt=13): 8767 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(77(a,1),8752(a,1,2,2)),flip(a)]. given #7689 (H,wt=13): 8768 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(3637(a,2),8752(a,1,2))]. given #7690 (H,wt=15): 8718 K(T(x,y) \ 1,z) = K(x \ K(x,y),z). [hyper(62,a,6149,a,b,8532,a)]. given #7691 (H,wt=15): 8719 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(62,a,6152,a,b,8536,a)]. given #7692 (H,wt=15): 8720 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(62,a,6033,a,b,8537,a)]. given #7693 (H,wt=15): 8722 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(273,a,5762,a,b,8562,a),flip(a)]. given #7694 (H,wt=11): 8779 T(x,T(T(y,z),z)) = T(x,y). [hyper(7613,a,8722,a)]. given #7695 (H,wt=13): 8781 T(x,T(y \ z,y)) = T(x,z / y). [para(110(a,1),8779(a,1,2,1))]. given #7696 (H,wt=13): 8782 T(x,(y * z) / y) = T(x,T(z,y)). [para(198(a,1),8779(a,1,2,1)),flip(a)]. given #7697 (H,wt=13): 8784 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5134(a,1),8779(a,1,2,1)),flip(a)]. given #7698 (H,wt=15): 8740 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(62,a,8440,a,b,8680,a)]. given #7699 (H,wt=15): 8741 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [para(10(a,1),8680(a,1,2,1)),flip(a)]. given #7700 (H,wt=15): 8745 T(K(x,y * x),K(y,z)) = K(x,x * y). [para(6724(a,2),8716(a,1,1))]. given #7701 (H,wt=15): 8756 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6569(a,1),8750(a,1,2)),flip(a)]. given #7702 (H,wt=15): 8760 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(8751(a,1),5163(a,2,2))]. given #7703 (H,wt=13): 8795 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(273,a,5163,a,b,8760,a),flip(a)]. given #7704 (H,wt=13): 8796 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(273,a,8477,a(flip),b,8760,a),flip(a)]. given #7705 (H,wt=13): 8797 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(8515,a,8795,a)]. given #7706 (H,wt=13): 8798 T(x,K(y,1 / z)) = T(x,K(y,z)). [para(77(a,1),8795(a,1,2,2)),flip(a)]. given #7707 (H,wt=15): 8761 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5854(a,1),8751(a,1,2))]. given #7708 (H,wt=15): 8762 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5858(a,2),8751(a,1,2))]. given #7709 (H,wt=15): 8763 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6569(a,1),8751(a,1,2))]. given #7710 (H,wt=13): 8803 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(273,a,8464,a(flip),b,8763,a),flip(a)]. given #7711 (H,wt=15): 8788 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(62,a,4786,a,b,8784,a)]. given #7712 (H,wt=15): 8791 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(273,a,8458,a,b,8740,a),flip(a)]. given #7713 (H,wt=15): 8792 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(273,a,8440,a,b,8740,a),flip(a)]. given #7714 (H,wt=14): 8807 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8792(a,1),6547(a,1,3))]. given #7715 (H,wt=15): 8793 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(62,a,8440,a,b,8741,a)]. given #7716 (H,wt=15): 8800 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6569(a,1),8795(a,1,2))]. given #7717 (H,wt=15): 8802 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6569(a,1),8796(a,1,2)),flip(a)]. given #7718 (H,wt=13): 8811 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(273,a,8706,a(flip),b,8802,a),flip(a)]. given #7719 (H,wt=13): 8813 T(x,K(y,y / z)) = T(x,K(z,y)). [para(77(a,1),8811(a,1,2,1)),flip(a)]. given #7720 (H,wt=15): 8805 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5387(a,1),8791(a,1,1)),flip(a)]. given #7721 (H,wt=15): 8806 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5387(a,1),8792(a,1,1)),flip(a)]. given #7722 (H,wt=15): 8808 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8548(a,1),8792(a,1,1))]. given #7723 (H,wt=15): 8814 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(273,a,8443,a,b,8805,a),flip(a)]. given #7724 (H,wt=16): 8418 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(8411(a,1),5167(a,1,2))]. given #7725 (H,wt=16): 8437 T(x,K(y,z)) != x * u | K(z,K(y,x)) = u. [para(8416(a,1),42(a,1))]. given #7726 (H,wt=16): 8447 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(8440(a,1),5167(a,1,2))]. given #7727 (H,wt=16): 8453 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7408(a,1),8440(a,1,2)),flip(a)]. given #7728 (H,wt=16): 8467 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(8443(a,2),5227(a,1,1))]. given #7729 (H,wt=16): 8482 x * K(K(y,z),x) != u | T(x,K(y,z)) = u. [para(8457(a,2),5167(a,1,2))]. given #7730 (H,wt=16): 8488 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8458(a,1),5167(a,1,2))]. given #7731 (H,wt=16): 8516 1 != x | K(y,K(z,u)) * K(y,K(z,u)) = x. [para(8478(a,1),7539(a,1))]. given #7732 (H,wt=16): 8550 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(8535(a,1),214(a,1,2))]. given #7733 (H,wt=16): 8654 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8571(a,2),7655(a,1))]. given #7734 (H,wt=16): 8671 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8611(a,2),7583(a,1))]. given #7735 (H,wt=16): 8707 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(8523(a,2),5167(a,1))]. given #7736 (H,wt=16): 8715 T(x,K(y,y * z)) != u | T(x,K(y,z)) = u. [para(8711(a,2),8515(a,1))]. given #7737 (H,wt=16): 8801 T(x,K(y,z \ 1)) != u | T(x,K(z,y)) = u. [para(8795(a,2),8515(a,1))]. given #7738 (H,wt=16): 8819 T(x,K(y,z)) != u | T(x,K(y,y * z)) = u. [para(9(a,1),8707(a,1,2,2))]. given #7739 (H,wt=16): 8820 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(5357(a,2),8707(a,1,2))]. given #7740 (H,wt=16): 8821 T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. [para(8802(a,2),8707(a,1))]. given #7741 (H,wt=17): 8414 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8411(a,1),86(a,1,2))]. given #7742 (H,wt=17): 8448 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(8440(a,1),5137(a,1,2,1))]. given #7743 (H,wt=17): 8450 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(8440(a,1),6425(a,1,2))]. given #7744 (H,wt=15): 8822 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8450(a,1),7907(a,1,2))]. given #7745 (H,wt=17): 8461 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8442(a,1),5132(a,1,1))]. given #7746 (H,wt=17): 8465 (K(x,y) * z) * K(x,K(y,z)) = z * K(x,y). [para(8443(a,2),86(a,1,2))]. given #7747 (H,wt=17): 8468 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(8443(a,2),5178(a,1,1))]. given #7748 (H,wt=17): 8470 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(8443(a,2),6425(a,1,2))]. given #7749 (H,wt=17): 8479 (1 / x) * K(y,K(x,z)) = 1 / T(x,K(y,z)). [para(8455(a,1),5128(a,1,2))]. given #7750 (H,wt=17): 8483 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8457(a,1),5518(a,1,1))]. given #7751 (H,wt=17): 8493 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7518(a,2),8458(a,1,2))]. given #7752 (H,wt=17): 8494 T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). [para(8423(a,1),8245(a,1,1)),flip(a)]. given #7753 (H,wt=17): 8500 x * K(y,K(x,x * z)) = T(x,K(y,z * x)). [para(6724(a,1),8445(a,1,2,2))]. given #7754 (H,wt=15): 8829 T(x,K(y,z * x)) = T(x,K(y,x * z)). [hyper(8447,a,8500,a),flip(a)]. given #7755 (H,wt=17): 8531 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [para(6455(a,2),8514(a,1,1))]. given #7756 (H,wt=16): 8831 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8531(a,1),5459(a,1))]. given #7757 (H,wt=16): 8834 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7460(a,2),8831(a,1))]. given #7758 (H,wt=17): 8555 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8535(a,1),7684(a,1,2)),flip(a)]. given #7759 (H,wt=15): 8836 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(273,a,6425,a(flip),b,8555,a),flip(a)]. given #7760 (H,wt=15): 8837 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(116,a,8836,a(flip),b,5491,a(flip))]. given #7761 (H,wt=15): 8838 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7460(a,1),8836(a,1,1))]. given #7762 (H,wt=17): 8556 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(62,a,7516,a,b,8541,a)]. given #7763 (H,wt=17): 8557 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(62,a,7515,a,b,8541,a)]. given #7764 (H,wt=17): 8561 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(731(a,2),8541(a,1,2))]. given #7765 (H,wt=17): 8567 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(25(a,2),8542(a,1,2))]. given #7766 (H,wt=15): 8853 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(107(a,1),8567(a,1,2,1))]. given #7767 (H,wt=17): 8568 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(27(a,2),8542(a,1,2))]. given #7768 (H,wt=17): 8576 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(4097(a,1),8542(a,1,1))]. given #7769 (H,wt=17): 8582 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5209(a,1),8542(a,1,1)),flip(a)]. given #7770 (H,wt=17): 8583 K(x,T(y * K(z,y),u)) = K(T(x,z),T(y,u)). [para(5209(a,1),8542(a,1,2)),flip(a)]. given #7771 (H,wt=17): 8584 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(8542(a,1),5570(a,1,1)),flip(a)]. given #7772 (H,wt=17): 8601 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(62,a,6657,a(flip),b,8534,a)]. given #7773 (H,wt=17): 8613 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(34,a,6035,a,b,8548,a),flip(a)]. given #7774 (H,wt=17): 8621 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(62,a,7475,a,b,8553,a)]. given #7775 (H,wt=17): 8638 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7326(a,1),8566(a,1,1))]. given #7776 (H,wt=17): 8639 K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). [hyper(62,a,7435,a(flip),b,8569,a)]. given #7777 (H,wt=17): 8646 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1467(a,1),8570(a,1,1))]. given #7778 (H,wt=17): 8647 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(4070(a,1),8570(a,1,1))]. given #7779 (H,wt=17): 8648 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4102(a,1),8570(a,1,1))]. given #7780 (H,wt=17): 8658 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7501(a,1),8579(a,1,1,2))]. given #7781 (H,wt=17): 8661 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(5626(a,2),8580(a,1,2,2))]. given #7782 (H,wt=15): 8866 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(62,a,8580,a(flip),b,8661,a)]. given #7783 (H,wt=17): 8666 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(8581(a,1),8250(a,1,1,1))]. given #7784 (H,wt=15): 8868 K(T(x,y) \ z,T(y,x)) = K(z / x,y). [hyper(273,a,8558,a(flip),b,8666,a),flip(a)]. given #7785 (H,wt=17): 8687 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [hyper(62,a,8526,a(flip),b,8473,a),flip(a)]. given #7786 (H,wt=17): 8688 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7640(a,1),8473(a,2,2))]. given #7787 (H,wt=17): 8701 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(8229(a,1),8506(a,1,2)),flip(a)]. given #7788 (H,wt=17): 8721 K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). [para(198(a,1),8538(a,1,1,2,1)),flip(a)]. given #7789 (H,wt=15): 8872 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(5278(a,1),8721(a,1,2)),flip(a)]. given #7790 (H,wt=17): 8727 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5142(a,1),8592(a,1,1)),flip(a)]. given #7791 (H,wt=17): 8738 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(22(a,2),8620(a,1,1,1)),flip(a)]. given #7792 (H,wt=17): 8742 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(273,a,8526,a(flip),b,8686,a),flip(a)]. given #7793 (H,wt=17): 8764 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8751(a,1),8424(a,1,2))]. given #7794 (H,wt=13): 8877 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(62,a,8424,a(flip),b,8764,a),flip(a)]. given #7795 (H,wt=17): 8771 (1 / x) * K(y,K(x,z)) = T(1 / x,K(y,z)). [para(8754(a,1),5246(a,1,2))]. given #7796 (H,wt=15): 8882 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(62,a,8479,a(flip),b,8771,a)]. given #7797 (H,wt=17): 8776 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(5278(a,2),8718(a,2,1)),flip(a)]. given #7798 (H,wt=17): 8777 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8719(a,1),5117(a,2,2))]. given #7799 (H,wt=15): 8885 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(273,a,5117,a,b,8777,a),flip(a)]. given #7800 (H,wt=17): 8783 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(218(a,1),8779(a,1,2,1))]. given #7801 (H,wt=17): 8790 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2207(a,1),8784(a,1,2))]. given #7802 (H,wt=17): 8804 K(x,K(y,z)) * (x \ y) = T(x \ y,K(y,z)). [para(8803(a,1),8466(a,1,1))]. given #7803 (H,wt=15): 8888 T(x \ y,K(y,z)) = T(x,K(y,z)) \ y. [hyper(62,a,8483,a(flip),b,8804,a),flip(a)]. given #7804 (H,wt=17): 8809 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(62,a,8114,a(flip),b,8807,a)]. given #7805 (H,wt=17): 8815 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(7501(a,1),8805(a,1,2,2,1))]. given #7806 (H,wt=17): 8823 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(8224(a,2),8461(a,1,2))]. given #7807 (H,wt=17): 8845 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(62,a,4641,a(flip),b,8838,a),flip(a)]. given #7808 (H,wt=17): 8856 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(110(a,1),8853(a,1,1)),flip(a)]. given #7809 (H,wt=17): 8857 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5135(a,1),8576(a,1,2,2))]. given #7810 (H,wt=17): 8863 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(62,a,7492,a(flip),b,8621,a),flip(a)]. given #7811 (H,wt=15): 8895 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(273,a,8558,a(flip),b,8863,a),flip(a)]. given #7812 (H,wt=17): 8869 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [hyper(273,a,8686,a,b,8687,a),flip(a)]. given #7813 (H,wt=17): 8870 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(273,a,8440,a,b,8688,a),flip(a)]. given #7814 (H,wt=17): 8873 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(8872(a,1),8527(a,1,1))]. given #7815 (H,wt=17): 8876 K(x,K(y \ z,T(y,u))) = K(y,K(x,T(z,u))). [hyper(273,a,8492,a,b,8742,a),flip(a)]. given #7816 (H,wt=17): 8879 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(62,a,6149,a,b,8877,a)]. given #7817 (H,wt=17): 8880 (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). [para(8877(a,1),108(a,1,2))]. given #7818 (H,wt=17): 8881 (1 / x) * T(K(y,z),x) = K(y,z) * (1 / x). [para(8877(a,1),3130(a,1,2))]. given #7819 (H,wt=17): 8886 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(110(a,1),8885(a,1,2,2,1))]. given #7820 (H,wt=17): 8898 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [hyper(273,a,6149,a,b,8879,a),flip(a)]. given #7821 (H,wt=17): 8899 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(7460(a,2),8880(a,1,2))]. given #7822 (H,wt=13): 8902 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(33,a,7476,a,b,8899,a)]. given #7823 (H,wt=13): 8904 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(7652,a,8902,a)]. given #7824 (H,wt=13): 8906 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(62,a,7644,a(flip),b,8902,a)]. given #7825 (H,wt=13): 8907 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(77(a,1),8902(a,1,2,2)),flip(a)]. given #7826 (H,wt=15): 8905 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(62,a,7645,a(flip),b,8902,a)]. given #7827 (H,wt=15): 8908 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [para(8902(a,1),5163(a,2,2))]. given #7828 (H,wt=13): 8919 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(273,a,5163,a,b,8908,a),flip(a)]. given #7829 (H,wt=13): 8921 T(x \ 1,T(y,x)) = T(x \ 1,y). [hyper(4350,a,8919,a),flip(a)]. given #7830 (H,wt=15): 8909 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6674(a,1),8902(a,1,2))]. given #7831 (H,wt=15): 8912 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(9(a,1),8904(a,1,2,2))]. given #7832 (H,wt=15): 8923 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6674(a,1),8919(a,1,2))]. given #7833 (H,wt=11): 8927 T(x,T(y,x \ y)) = T(x,y). [hyper(273,a,4085,a(flip),b,8923,a),flip(a)]. given #7834 (H,wt=13): 8928 T(x,T(x * y,y)) = T(x,x * y). [para(9(a,1),8927(a,1,2,2))]. given #7835 (H,wt=13): 8929 T(x \ y,T(y,x)) = T(x \ y,y). [para(4080(a,1),8927(a,1,2))]. given #7836 (H,wt=16): 8920 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8908(a,2),5167(a,1))]. given #7837 (H,wt=16): 8922 T(x \ 1,T(y,x)) != z | T(x \ 1,y) = z. [para(8919(a,1),4350(a,1))]. given #7838 (H,wt=16): 8925 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(8909(a,1),7456(a,1))]. given #7839 (H,wt=16): 8931 T(x,T(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(3127(a,1),8920(a,1,2))]. given #7840 (H,wt=16): 8932 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7457(a,2),8925(a,1))]. given #7841 (H,wt=16): 8934 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(7644(a,1),8932(a,1))]. given #7842 (H,wt=16): 8937 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(8909(a,1),8934(a,1))]. given #7843 (H,wt=17): 8900 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(7460(a,2),8881(a,1,2))]. given #7844 (H,wt=17): 8910 K(x,T(y,z \ (u \ z))) = K(x,T(y,T(u,z))). [para(7706(a,1),8902(a,1,2))]. given #7845 (H,wt=17): 8911 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(62,a,7469,a(flip),b,8904,a),flip(a)]. given #7846 (H,wt=17): 8914 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(62,a,7685,a,b,8906,a)]. given #7847 (H,wt=18): 8417 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8411(a,1),5147(a,1,1))]. given #7848 (H,wt=18): 8425 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8412(a,1),5167(a,1,2))]. given #7849 (H,wt=14): 8942 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(8676(a,1),8425(a,1))]. given #7850 (H,wt=14): 8948 K(x,y) != z | T(K(x,T(y,u)),u) = z. [para(8541(a,1),8942(a,1))]. given #7851 (H,wt=16): 8943 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8764(a,1),8425(a,1))]. given #7852 (H,wt=16): 8944 K(x \ y,x) != z | T(K(x \ y,x),y) = z. [para(4156(a,1),8942(a,1))]. given #7853 (H,wt=16): 8945 K(x,T(y,y \ z)) != u | T(K(x,y),z) = u. [para(7446(a,2),8942(a,1))]. given #7854 (H,wt=16): 8946 K(x,T(y,z)) != u | T(K(x,y),z * y) = u. [para(7459(a,1),8942(a,1))]. given #7855 (H,wt=16): 8947 K((x \ y) \ y,z) != u | T(K(x,z),y) = u. [para(7465(a,2),8942(a,1))]. given #7856 (H,wt=18): 8426 K(x,K(y,z)) * K(x,y) != u | T(K(x,y),z) = u. [para(8412(a,1),5227(a,1,1))]. given #7857 (H,wt=18): 8484 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8457(a,1),5423(a,1,1))]. given #7858 (H,wt=18): 8513 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(8503(a,1),214(a,1,2))]. given #7859 (H,wt=18): 8659 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7517(a,1),8579(a,1,1,2)),flip(a)]. given #7860 (H,wt=16): 8949 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(273,a,8579,a(flip),b,8659,a),flip(a)]. given #7861 (H,wt=18): 8678 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8424(a,2),7653(a,1))]. given #7862 (H,wt=18): 8683 K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u. [para(8456(a,2),7653(a,1))]. given #7863 (H,wt=18): 8685 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8460(a,2),7653(a,1))]. given #7864 (H,wt=18): 8702 T(x * K(y,z),K(y,z)) != K(y,z) * u | x = u. [para(8507(a,2),42(a,1))]. given #7865 (H,wt=18): 8724 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(8562(a,2),5763(a,1))]. given #7866 (H,wt=18): 8725 T(T(x,y),T(z,y)) != K(x,y) * u | T(x,z) = u. [para(8562(a,2),5786(a,1))]. given #7867 (H,wt=18): 8729 K(x \ y,z) \ (y * K(y / x,z)) != u | y = u. [para(8596(a,1),288(a,1,2))]. given #7868 (H,wt=18): 8734 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(8612(a,1),280(a,1,1))]. given #7869 (H,wt=18): 8739 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8676(a,1),42(a,1))]. given #7870 (H,wt=18): 8812 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(8802(a,1),8515(a,1))]. given #7871 (H,wt=18): 8832 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6523(a,2),8831(a,1))]. given #7872 (H,wt=16): 8951 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(4215(a,2),8832(a,1,1))]. given #7873 (H,wt=16): 8952 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7501(a,1),8951(a,1))]. given #7874 (H,wt=16): 8953 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(9(a,1),8952(a,1,1))]. given #7875 (H,wt=18): 8849 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8556(a,1),7845(a,1,1,1))]. given #7876 (H,wt=18): 8862 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(8613(a,2),5855(a,1))]. given #7877 (H,wt=18): 8924 K(x \ y,T(z,y \ x)) != u | K(x \ y,z) = u. [para(8909(a,1),5385(a,1))]. given #7878 (H,wt=18): 8933 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4440(a,1),8932(a,1,2))]. given #7879 (H,wt=18): 8957 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(8666(a,2),8952(a,1))]. given #7880 (H,wt=18): 8958 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(3643(a,2),8862(a,1))]. given #7881 (H,wt=18): 8959 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(9(a,1),8958(a,1,2,1,2))]. given #7882 (H,wt=15): 8960 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [hyper(8959,a,3643,a),flip(a)]. given #7883 (H,wt=15): 8961 K(x,y / (y * z)) = K(x,(z * y) \ y). [hyper(7609,a,8960,a),flip(a)]. given #7884 (H,wt=19): 8200 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(8190(a,1),5178(a,1,1))]. given #7885 (H,wt=19): 8208 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(8201(a,1),7476(a,1,2,2)),flip(a)]. given #7886 (H,wt=19): 8220 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(8206(a,1),7528(a,1,2))]. given #7887 (H,wt=19): 8221 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6708,a,8218,a),flip(a)]. given #7888 (H,wt=19): 8227 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(115,a,109,a,b,8218,a)]. given #7889 (H,wt=19): 8232 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(34,a,5559,a,b,8218,a),flip(a)]. given #7890 (H,wt=19): 8277 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6843(a,1),8226(a,1,1,2)),flip(a)]. given #7891 (H,wt=17): 8966 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(62,a,6190,a(flip),b,8277,a),flip(a)]. given #7892 (H,wt=17): 8967 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [hyper(176,a,8966,a)]. given #7893 (H,wt=17): 8968 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(131,a,8966,a)]. given #7894 (H,wt=19): 8278 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6907(a,1),8226(a,1,1))]. given #7895 (H,wt=19): 8301 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(116,a,5182,a(flip),b,8245,a)]. given #7896 (H,wt=19): 8307 (T(x,y) \ z) * T(T(x,z),y) = (x \ z) * T(x,z). [para(7669(a,1),8245(a,1,1))]. given #7897 (H,wt=19): 8321 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5744,a,8287,a)]. given #7898 (H,wt=16): 8974 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5648(a,1),8321(a,1,2))]. given #7899 (H,wt=16): 8976 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(8974(a,1),7766(a,1,1))]. given #7900 (H,wt=19): 8350 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(7751(a,1),8275(a,1,1)),flip(a)]. given #7901 (H,wt=17): 8977 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(273,a,8276,a(flip),b,8350,a),flip(a)]. given #7902 (H,wt=17): 8978 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(273,a,5719,a(flip),b,8977,a),flip(a)]. given #7903 (H,wt=19): 8366 T(x / T(y,T(z,u)),y) = y \ (x * K(z,T(y,u))). [para(7501(a,1),8295(a,2,2,2))]. given #7904 (H,wt=15): 8979 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(273,a,7562,a(flip),b,8366,a),flip(a)]. given #7905 (H,wt=15): 8980 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8779(a,1),8979(a,1,1,2))]. given #7906 (H,wt=19): 8368 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [para(7617(a,1),8352(a,1,2))]. given #7907 (H,wt=19): 8370 (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. [para(8356(a,1),6454(a,1,1))]. given #7908 (H,wt=19): 8375 T(x * y,x) * K(x,y) != z | R(x,y,x) * y = z. [para(1080(a,1),8310(a,1,1))]. given #7909 (H,wt=19): 8387 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(12(a,1),8276(a,1,1,2,1)),flip(a)]. given #7910 (H,wt=19): 8391 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(5948(a,1),8296(a,1,1))]. given #7911 (H,wt=19): 8394 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(5370(a,2),8313(a,1,1))]. given #7912 (H,wt=19): 8407 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(94(a,1),8345(a,1,2))]. given #7913 (H,wt=19): 8427 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(8412(a,1),5178(a,1,1))]. given #7914 (H,wt=19): 8428 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(8412(a,1),5504(a,1,1,1))]. given #7915 (H,wt=19): 8429 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(8412(a,1),6266(a,2,1))]. given #7916 (H,wt=17): 8987 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6280(a,1),8429(a,1,1)),flip(a)]. given #7917 (H,wt=19): 8430 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8412(a,1),6425(a,1,2))]. given #7918 (H,wt=19): 8498 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(8436(a,1),8214(a,1,1))]. given #7919 (H,wt=19): 8501 T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. [para(7897(a,1),8446(a,1,1,2)),flip(a)]. given #7920 (H,wt=17): 8990 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(8486(a,1),8501(a,2,1))]. given #7921 (H,wt=15): 8991 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [hyper(273,a,8466,a(flip),b,8990,a),flip(a)]. given #7922 (H,wt=13): 8992 T(x,K(y,z * x)) = T(x,K(y,z)). [para(107(a,1),8991(a,1,2,2,2))]. given #7923 (H,wt=13): 8993 T(x,K(y,x * z)) = T(x,K(y,z)). [para(108(a,1),8991(a,1,2,2))]. given #7924 (H,wt=13): 8994 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(273,a,8502,a,b,8992,a),flip(a)]. given #7925 (H,wt=13): 8995 T(x,K(y,z / x)) = T(x,K(y,z)). [para(12(a,1),8992(a,1,2,2)),flip(a)]. given #7926 (H,wt=13): 8997 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(273,a,8502,a,b,8993,a),flip(a)]. given #7927 (H,wt=13): 8999 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(8515,a,8994,a)]. given #7928 (H,wt=13): 9001 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(273,a,8502,a,b,8995,a),flip(a)]. given #7929 (H,wt=15): 9000 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(8994(a,1),7472(a,1,2))]. given #7930 (H,wt=16): 8998 T(x,K(y,x * z)) != u | T(x,K(z,y)) = u. [para(8993(a,2),8515(a,1))]. given #7931 (H,wt=16): 9002 T(x,K(y,z / x)) != u | T(x,K(y,z)) = u. [para(9001(a,2),8515(a,1))]. given #7932 (H,wt=19): 8509 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8502(a,1),4293(a,1,2))]. given #7933 (H,wt=19): 8525 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(8496(a,1),8214(a,1,1))]. given #7934 (H,wt=19): 8529 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8514(a,1),582(a,1,1,1))]. given #7935 (H,wt=19): 8530 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(8514(a,1),589(a,1,1,1))]. given #7936 (H,wt=19): 8540 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8528(a,1),248(a,1,2,2,1))]. given #7937 (H,wt=17): 9007 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4697,a,8540,a)]. given #7938 (H,wt=19): 8551 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8535(a,1),211(a,1,2,1)),flip(a)]. given #7939 (H,wt=19): 8573 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(872(a,1),8542(a,1,1)),flip(a)]. given #7940 (H,wt=17): 9010 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(62,a,8647,a(flip),b,8573,a),flip(a)]. given #7941 (H,wt=19): 8575 K(T(x,y \ 1),(1 / y) \ z) = K(x,z / (1 / y)). [para(3084(a,1),8542(a,1,2))]. given #7942 (H,wt=19): 8578 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4295(a,1),8542(a,1,1)),flip(a)]. given #7943 (H,wt=17): 9013 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(62,a,8638,a(flip),b,8578,a),flip(a)]. given #7944 (H,wt=17): 9014 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(9(a,1),9013(a,1,2,2)),flip(a)]. given #7945 (H,wt=19): 8593 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8542(a,1),7937(a,1,1,1,2))]. given #7946 (H,wt=19): 8594 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8542(a,1),7965(a,1,1,2,1))]. given #7947 (H,wt=17): 9016 K(x \ K(y,z),T(z,u)) = K(x \ 1,T(z,u)). [para(5371(a,1),8594(a,1,1,2)),flip(a)]. given #7948 (H,wt=17): 9018 K(T(x,y) \ K(z,x),T(x,u)) = K(x \ 1,x). [hyper(273,a,3429,a(flip),b,9016,a),flip(a)]. given #7949 (H,wt=19): 8619 K(x / ((y * z) \ y),z) = K(((y * z) \ y) \ x,z). [hyper(7598,a,8553,a),flip(a)]. given #7950 (H,wt=19): 8626 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4278(a,1),8558(a,1,2)),flip(a)]. given #7951 (H,wt=19): 8630 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [hyper(62,a,7516,a,b,8559,a)]. given #7952 (H,wt=19): 8634 K(x,L((y * z) / y,u,w)) = K(x,T(L(z,u,w),y)). [para(759(a,2),8560(a,1,2))]. given #7953 (H,wt=19): 8649 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(8570(a,1),5163(a,2,2)),flip(a)]. given #7954 (H,wt=17): 9023 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(6620,a,8649,a)]. given #7955 (H,wt=17): 9024 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5423,a,9023,a)]. given #7956 (H,wt=17): 9027 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(5135(a,1),9024(a,1,2,1))]. given #7957 (H,wt=19): 8653 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(764(a,2),8571(a,1,2))]. given #7958 (H,wt=19): 8655 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [hyper(62,a,5633,a,b,8579,a)]. given #7959 (H,wt=19): 8656 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(62,a,5594,a,b,8579,a)]. given #7960 (H,wt=19): 8660 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5069(a,2),8580(a,1,2,2))]. given #7961 (H,wt=19): 8662 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(8580(a,1),5826(a,1,2,2)),flip(a)]. given #7962 (H,wt=19): 8665 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5222(a,1),8581(a,1,2,2)),flip(a)]. given #7963 (H,wt=19): 8667 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(8346(a,1),8588(a,1,1))]. given #7964 (H,wt=19): 8668 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(8590(a,1),7692(a,1,2,2,1)),flip(a)]. given #7965 (H,wt=19): 8673 K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). [para(8672(a,2),5580(a,2,2))]. given #7966 (H,wt=19): 8675 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7522(a,1),8421(a,1,1,2)),flip(a)]. given #7967 (H,wt=15): 9038 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(273,a,8421,a(flip),b,8675,a),flip(a)]. given #7968 (H,wt=19): 8677 T(K(x,y),T(z,T(y,u))) = K(x,y) * K(x,K(y,z)). [para(7471(a,1),8424(a,1,2,2)),flip(a)]. given #7969 (H,wt=15): 9040 T(K(x,y),T(z,T(y,u))) = T(K(x,y),z). [hyper(273,a,8424,a(flip),b,8677,a),flip(a)]. given #7970 (H,wt=13): 9041 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(107(a,1),9040(a,1,2,2))]. given #7971 (H,wt=15): 9042 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(4063(a,1),9040(a,1,2)),flip(a)]. given #7972 (H,wt=19): 8679 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7878(a,1),8424(a,1,2,2)),flip(a)]. given #7973 (H,wt=15): 9044 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(273,a,8424,a(flip),b,8679,a),flip(a)]. given #7974 (H,wt=19): 8682 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7501(a,1),8456(a,1,2,2))]. given #7975 (H,wt=19): 8684 K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). [para(8526(a,1),8459(a,1,2))]. given #7976 (H,wt=19): 8689 K(x,K(y,T(z,u))) * K(x,z) = T(K(x,z),T(y,u)). [para(8473(a,2),8460(a,1,1))]. given #7977 (H,wt=19): 8691 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(8499(a,1),8476(a,1,1))]. given #7978 (H,wt=19): 8692 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [para(8473(a,2),8476(a,1,1))]. given #7979 (H,wt=19): 8705 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(8511(a,1),4900(a,1,2,1)),flip(a)]. given #7980 (H,wt=19): 8713 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(62,a,8504,a(flip),b,8708,a),flip(a)]. given #7981 (H,wt=19): 8732 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(62,a,7987,a(flip),b,8598,a),flip(a)]. given #7982 (H,wt=19): 8736 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(8542(a,1),8618(a,1,1,2,2))]. given #7983 (H,wt=19): 8770 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5991(a,2),8753(a,1,2))]. given #7984 (H,wt=19): 8774 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(62,a,6259,a,b,8758,a)]. given #7985 (H,wt=17): 9050 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8754(a,1),8774(a,1,1))]. given #7986 (H,wt=17): 9051 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8766(a,1),8774(a,1,1))]. given #7987 (H,wt=17): 9052 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(62,a,9050,a(flip),b,9051,a)]. given #7988 (H,wt=17): 9053 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(62,a,8987,a(flip),b,9051,a)]. given #7989 (H,wt=17): 9054 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(273,a,8440,a,b,9052,a)]. given #7990 (H,wt=17): 9056 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(273,a,8440,a,b,9053,a),flip(a)]. given #7991 (H,wt=17): 9057 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(273,a,8440,a,b,9054,a)]. given #7992 (H,wt=19): 8778 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(217(a,1),8720(a,1,2,2,1))]. given #7993 (H,wt=19): 8786 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(764(a,2),8782(a,1,2))]. given #7994 (H,wt=19): 8794 K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). [para(8745(a,1),8527(a,1,1))]. given #7995 (H,wt=16): 9061 K(x,y) * K(y,x * y) = y \ L(y,x,y). [hyper(62,a,5647,a(flip),b,8794,a),flip(a)]. given #7996 (H,wt=19): 8799 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(8795(a,1),108(a,1,2))]. given #7997 (H,wt=19): 8810 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7460(a,1),8793(a,1,2))]. given #7998 (H,wt=19): 8816 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(273,a,8740,a(flip),b,8806,a),flip(a)]. given #7999 (H,wt=19): 8817 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5751(a,1),8814(a,1,2,2))]. given #8000 (H,wt=19): 8839 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7459(a,1),8836(a,1,1))]. given #8001 (H,wt=19): 8840 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(110(a,1),8837(a,1,2))]. given #8002 (H,wt=17): 9063 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6424(a,1),8840(a,1,1))]. given #8003 (H,wt=13): 9064 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(8734,a,9063,a),flip(a)]. given #8004 (H,wt=19): 8841 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(109(a,1),8837(a,1,1,2))]. given #8005 (H,wt=19): 8844 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7907(a,1),8837(a,1,1,2)),flip(a)]. given #8006 (H,wt=15): 9066 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(273,a,8837,a(flip),b,8844,a),flip(a)]. given #8007 (H,wt=19): 8846 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(8008(a,1),8838(a,1,1))]. given #8008 (H,wt=19): 8852 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(5134(a,1),8561(a,1,2,1,1)),flip(a)]. given #8009 (H,wt=19): 8861 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(8613(a,1),5163(a,2,2))]. given #8010 (H,wt=17): 9069 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(273,a,5163,a,b,8861,a),flip(a)]. given #8011 (H,wt=17): 9070 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(9(a,1),9069(a,1,2,1,1)),flip(a)]. given #8012 (H,wt=15): 9071 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(5278(a,1),9070(a,1,2)),flip(a)]. given #8013 (H,wt=15): 9072 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(62,a,7707,a(flip),b,9071,a),flip(a)]. given #8014 (H,wt=15): 9073 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(62,a,5585,a(flip),b,9072,a)]. given #8015 (H,wt=19): 8865 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(62,a,8558,a(flip),b,8648,a)]. given #8016 (H,wt=19): 8883 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(8206(a,1),8882(a,1,2)),flip(a)]. given #8017 (H,wt=19): 8894 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(62,a,7641,a,b,8857,a)]. given #8018 (H,wt=15): 9074 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(8937,a,8894,a)]. given #8019 (H,wt=19): 8901 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(4215(a,1),8886(a,1,2,2))]. given #8020 (H,wt=19): 8913 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(8904(a,1),8658(a,1,1,2))]. given #8021 (H,wt=17): 9075 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(62,a,8658,a(flip),b,8913,a),flip(a)]. given #8022 (H,wt=17): 9076 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(4209(a,1),9075(a,1,2)),flip(a)]. given #8023 (H,wt=17): 9077 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(8923(a,1),9075(a,1,2))]. given #8024 (H,wt=19): 8915 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(159(a,1),8905(a,1,2)),flip(a)]. given #8025 (H,wt=19): 8916 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(159(a,1),8905(a,2,2))]. given #8026 (H,wt=19): 8917 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(160(a,1),8905(a,1,2)),flip(a)]. given #8027 (H,wt=19): 8918 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [para(160(a,1),8905(a,2,2))]. given #8028 (H,wt=19): 8926 K(x,T(y * (z \ x),z)) = K(x,T(y * (z \ x),y)). [hyper(62,a,8906,a(flip),b,8912,a)]. given #8029 (H,wt=19): 8962 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7460(a,2),8200(a,2,1))]. given #8030 (H,wt=19): 8972 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(273,a,7569,a(flip),b,8301,a),flip(a)]. given #8031 (H,wt=19): 8988 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(8218(a,1),8430(a,1,1)),flip(a)]. given #8032 (H,wt=19): 8996 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8992(a,1),8511(a,1,1))]. given #8033 (H,wt=19): 9006 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(27(a,1),8530(a,1,1))]. given #8034 (H,wt=19): 9015 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5132(a,1),8594(a,1,1,2)),flip(a)]. given #8035 (H,wt=19): 9031 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(5135(a,2),8655(a,1,2,1))]. given #8036 (H,wt=19): 9034 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(62,a,4965,a,b,8665,a)]. given #8037 (H,wt=17): 9088 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5238,a,9034,a)]. given #8038 (H,wt=19): 9037 K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). [para(8412(a,2),8673(a,2,2))]. given #8039 (H,wt=19): 9039 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(8202(a,1),9038(a,1,2))]. given #8040 (H,wt=15): 9091 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(273,a,9044,a(flip),b,9039,a),flip(a)]. given #8041 (H,wt=15): 9093 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(8224(a,1),9091(a,1,2))]. given #8042 (H,wt=19): 9043 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(9042(a,1),8527(a,1,1))]. given #8043 (H,wt=17): 9094 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(7474(a,1),9043(a,1,1))]. given #8044 (H,wt=15): 9095 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(273,a,8230,a(flip),b,9094,a),flip(a)]. given #8045 (H,wt=15): 9096 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7460(a,2),9095(a,1,1))]. given #8046 (H,wt=17): 9097 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(7481(a,1),9095(a,1,1))]. given #8047 (H,wt=19): 9047 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [hyper(2230,a,8691,a)]. given #8048 (H,wt=19): 9055 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [hyper(273,a,8754,a(flip),b,9052,a),flip(a)]. given #8049 (H,wt=19): 9060 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(27(a,2),8786(a,2,2))]. given #8050 (H,wt=19): 9067 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(8228(a,1),9066(a,1,2,1)),flip(a)]. given #8051 (H,wt=19): 9078 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(110(a,1),9076(a,1,2,2)),flip(a)]. given #8052 (H,wt=19): 9082 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7583,a,8918,a)]. given #8053 (H,wt=19): 9098 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5143,a,9097,a)]. given #8054 (H,wt=19): 9100 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(62,a,7449,a,b,9067,a)]. given #8055 (H,wt=20): 8242 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(8218(a,1),105(a,2,1))]. given #8056 (H,wt=20): 8243 R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. [para(8218(a,1),167(a,1,2,1))]. given #8057 (H,wt=20): 8257 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(8224(a,1),259(a,1,1))]. given #8058 (H,wt=20): 8267 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [hyper(7106,a,8226,a),flip(a)]. given #8059 (H,wt=18): 9104 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(108(a,1),8267(a,1,1,2))]. given #8060 (H,wt=15): 9107 T(x,y * (z * x)) = T(x,y * (x * z)). [para(9104(a,1),7907(a,1,2)),flip(a)]. given #8061 (H,wt=18): 9105 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(122,a,9104,a)]. given #8062 (H,wt=19): 9108 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(9104(a,1),7937(a,1,1,1)),flip(a)]. given #8063 (H,wt=19): 9109 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(9104(a,1),8618(a,1,1,2)),flip(a)]. given #8064 (H,wt=20): 8309 (x / y) * K(z,y) != u * w | u \ (x / T(y,z)) = w. [para(8252(a,1),283(a,1,1))]. given #8065 (H,wt=20): 8314 x / (K(y,z) \ 1) != K(y,z) * u | T(x,K(y,z)) = u. [para(8261(a,2),213(a,2)),flip(a)]. given #8066 (H,wt=20): 8330 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) != z | K(x,y) = z. [para(3470(a,1),8240(a,1,1))]. given #8067 (H,wt=20): 8334 (x \ T(x * y,z)) \ y != u | K(z,(x \ 1) \ y) = u. [para(6505(a,2),8240(a,1,1))]. given #8068 (H,wt=20): 8362 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(8355(a,1),7114(a,1,1))]. given #8069 (H,wt=20): 8365 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(8286(a,1),4279(a,1,2))]. given #8070 (H,wt=13): 9113 a(x,T(y,z),T(z,y)) = a(x,y,z). [hyper(636,a,8365,a),flip(a)]. given #8071 (H,wt=16): 9114 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(8365(a,1),636(a,1))]. given #8072 (H,wt=20): 8374 (x * K(y,T(z,u))) \ (x * z) != w | T(z,T(y,u)) = w. [para(7501(a,1),8305(a,1,1,2))]. given #8073 (H,wt=20): 8376 K(x,y) * K(y \ 1,y) != z | (T(y,x) \ 1) * y = z. [para(5109(a,2),8310(a,1,1))]. given #8074 (H,wt=20): 8405 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(8400(a,1),6302(a,1,1,1))]. given #8075 (H,wt=20): 8451 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(8440(a,1),6487(a,1,2))]. given #8076 (H,wt=20): 8485 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(8457(a,1),5521(a,1,1))]. given #8077 (H,wt=20): 8572 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(704(a,2),8542(a,1,2)),flip(a)]. given #8078 (H,wt=20): 8599 R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). [para(8533(a,2),6185(a,1,1))]. given #8079 (H,wt=20): 8614 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(34,a,7735,a(flip),b,8548,a),flip(a)]. given #8080 (H,wt=20): 8635 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(770(a,1),8560(a,1,2)),flip(a)]. given #8081 (H,wt=20): 8637 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(8566(a,1),6842(a,1,1)),flip(a)]. given #8082 (H,wt=20): 8697 K(L(x,y,z),K(u,x \ u)) = L(x,y,z) \ L(x,y,z). [para(8696(a,1),5164(a,1,2,1)),flip(a)]. given #8083 (H,wt=12): 9117 K(L(x,y,z),K(u,x \ u)) = 1. [hyper(273,a,66,a(flip),b,8697,a),flip(a)]. given #8084 (H,wt=12): 9120 K(x,K(L(y,z,u),y \ x)) = 1. [hyper(62,a,8440,a,b,9117,a)]. given #8085 (H,wt=15): 9118 K(L(x,y,z),K(u,x \ u)) != w | 1 = w. [para(8697(a,2),289(a,1))]. given #8086 (H,wt=20): 8772 (1 / x) * K(y,K(x,z)) != u | T(1 / x,K(y,z)) = u. [para(8754(a,1),5449(a,1,2))]. given #8087 (H,wt=20): 8818 K(x,K(y,z)) * (x \ y) != u | T(x \ y,K(y,z)) = u. [para(8803(a,1),8467(a,1,1))]. given #8088 (H,wt=20): 8828 x * T(K(y,x),z) != u * K(y,x) | T(x,K(z,y)) = u. [para(8494(a,1),43(a,1))]. given #8089 (H,wt=20): 8833 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(6657(a,1),8831(a,1))]. given #8090 (H,wt=20): 8903 (x \ 1) * K(y,T(z,x)) != u * (x \ 1) | K(y,z) = u. [para(8899(a,2),43(a,1))]. given #8091 (H,wt=20): 8935 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(7706(a,1),8932(a,1,2))]. given #8092 (H,wt=20): 8936 K(x,T(x \ y,z \ y)) != u | K(x,T(x \ y,z)) = u. [para(7685(a,2),8934(a,1))]. given #8093 (H,wt=20): 8954 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(160(a,1),8952(a,1,2))]. given #8094 (H,wt=20): 9025 K(x,y) * T((y * x) / y,z) != u | T(x,T(z,y)) = u. [para(9023(a,1),5437(a,1,2))]. given #8095 (H,wt=20): 9079 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8915(a,1),5350(a,1,2))]. given #8096 (H,wt=20): 9081 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(8917(a,1),6885(a,1,2))]. given #8097 (H,wt=20): 9103 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [hyper(122,a,8267,a)]. given #8098 (H,wt=20): 9115 K(x \ 1,x) * K(y,x) != z | (T(x,y) \ 1) * x = z. [para(2988(a,2),8376(a,1))]. given #8099 (H,wt=20): 9121 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(5135(a,1),9025(a,1,2,1))]. given #8100 (H,wt=21): 8270 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(273,a,6162,a(flip),b,8226,a),flip(a)]. given #8101 (H,wt=17): 9129 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6264(a,1),8270(a,1,1,2))]. given #8102 (H,wt=17): 9130 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(176,a,9129,a)]. given #8103 (H,wt=18): 9131 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(133,a,9129,a),flip(a)]. given #8104 (H,wt=18): 9134 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(94(a,1),9129(a,1,1))]. given #8105 (H,wt=20): 9133 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(9129(a,1),331(a,1,2)),flip(b)]. given #8106 (H,wt=20): 9135 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(437(a,1),9129(a,1,1))]. given #8107 (H,wt=20): 9139 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7505(a,1),9131(a,1,1,2))]. given #8108 (H,wt=21): 8281 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(7817(a,1),8226(a,1,1,2)),flip(a)]. given #8109 (H,wt=17): 9144 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(273,a,8226,a(flip),b,8281,a),flip(a)]. given #8110 (H,wt=19): 9145 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(62,a,6848,a(flip),b,9144,a)]. given #8111 (H,wt=17): 9147 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(273,a,6843,a(flip),b,9145,a),flip(a)]. given #8112 (H,wt=17): 9148 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5387(a,1),9147(a,1,2)),flip(a)]. given #8113 (H,wt=17): 9149 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5204(a,1),9147(a,1,2))]. given #8114 (H,wt=17): 9151 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(8590(a,1),9147(a,1,2)),flip(a)]. given #8115 (H,wt=17): 9152 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(62,a,6847,a(flip),b,9148,a)]. given #8116 (H,wt=17): 9156 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(9(a,1),9152(a,1,1,2)),flip(a)]. given #8117 (H,wt=21): 8289 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(115,a,8230,a(flip),b,5083,a(flip)),flip(a)]. given #8118 (H,wt=21): 8299 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(8234(a,1),7110(a,1,1,2)),flip(a)]. given #8119 (H,wt=21): 8325 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6916(a,1),8300(a,1,1,2)),flip(a)]. given #8120 (H,wt=15): 9157 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(273,a,8300,a(flip),b,8325,a),flip(a)]. given #8121 (H,wt=15): 9159 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(6788(a,1),9157(a,1,2))]. given #8122 (H,wt=19): 9160 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(9159(a,1),236(a,1,2))]. given #8123 (H,wt=19): 9161 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(62,a,268,a(flip),b,9160,a)]. given #8124 (H,wt=21): 8348 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(809(a,1),8275(a,1,1))]. given #8125 (H,wt=19): 9164 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7742(a,1),8348(a,1,1,2)),flip(a)]. given #8126 (H,wt=15): 9165 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(273,a,8275,a(flip),b,9164,a),flip(a)]. given #8127 (H,wt=15): 9167 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7476(a,1),9165(a,1,2,1))]. given #8128 (H,wt=15): 9168 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7486(a,1),9165(a,1,2,1)),flip(a)]. given #8129 (H,wt=15): 9169 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(8218(a,1),9165(a,1,2,1)),flip(a)]. given #8130 (H,wt=17): 9166 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(9165(a,1),5163(a,2,2))]. given #8131 (H,wt=15): 9175 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(273,a,5163,a,b,9166,a),flip(a)]. given #8132 (H,wt=15): 9176 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7486(a,1),9175(a,1,2,1)),flip(a)]. given #8133 (H,wt=15): 9178 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(62,a,7651,a(flip),b,9176,a),flip(a)]. given #8134 (H,wt=13): 9181 T(x,y \ K(x,z)) = T(x,y \ 1). [para(4411(a,1),9178(a,1,2,2)),flip(a)]. given #8135 (H,wt=15): 9182 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(5087(a,1),9178(a,1,2,2))]. given #8136 (H,wt=15): 9183 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(5132(a,1),9178(a,1,2,2))]. given #8137 (H,wt=17): 9184 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(5142(a,1),9178(a,1,2,2)),flip(a)]. given #8138 (H,wt=17): 9187 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [hyper(273,a,5163,a(flip),b,9182,a),flip(a)]. given #8139 (H,wt=15): 9194 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [hyper(5238,a,9187,a)]. given #8140 (H,wt=15): 9195 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(9(a,1),9194(a,1,2,2,1))]. given #8141 (H,wt=17): 9189 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(9182(a,1),7674(a,1,2)),flip(a)]. given #8142 (H,wt=18): 9173 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6260(a,1),9169(a,1,2,1,2))]. given #8143 (H,wt=19): 9170 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(8222(a,1),9165(a,1,2,1))]. given #8144 (H,wt=19): 9172 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6362(a,1),9167(a,1,2,1)),flip(a)]. given #8145 (H,wt=19): 9174 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(8542(a,1),9169(a,1,2,1,2))]. given #8146 (H,wt=19): 9177 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(9104(a,1),9175(a,1,2,1)),flip(a)]. given #8147 (H,wt=19): 9185 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5751(a,1),9178(a,1,2,2))]. given #8148 (H,wt=19): 9196 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(94(a,1),9173(a,1,2,1))]. given #8149 (H,wt=20): 9190 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(9182(a,2),8328(a,1))]. given #8150 (H,wt=21): 8354 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [hyper(62,a,1523,a,b,8282,a)]. given #8151 (H,wt=21): 8360 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(8355(a,1),7005(a,1,2,1,2))]. given #8152 (H,wt=21): 8361 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(8355(a,1),7056(a,1,2,1,2))]. given #8153 (H,wt=21): 8364 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(115,a,94,a(flip),b,8286,a)]. given #8154 (H,wt=21): 8389 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(110(a,1),8292(a,1,2,2))]. given #8155 (H,wt=21): 8422 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(273,a,5999,a(flip),b,8412,a),flip(a)]. given #8156 (H,wt=17): 9205 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5999(a,1),8422(a,1,1)),flip(a)]. given #8157 (H,wt=21): 8462 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5999(a,1),8442(a,1,1)),flip(a)]. given #8158 (H,wt=17): 9206 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5999(a,1),8462(a,1,2)),flip(a)]. given #8159 (H,wt=17): 9207 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(62,a,9205,a,b,9206,a)]. given #8160 (H,wt=17): 9208 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8440(a,1),9207(a,1,1))]. given #8161 (H,wt=21): 8471 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(8443(a,2),6505(a,2,2))]. given #8162 (H,wt=21): 8472 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(8443(a,2),6506(a,1,2,2))]. given #8163 (H,wt=21): 8490 K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). [para(6264(a,1),8458(a,1,2)),flip(a)]. given #8164 (H,wt=19): 9211 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [para(6274(a,1),8490(a,1,2))]. given #8165 (H,wt=19): 9212 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(5873,a,9211,a)]. given #8166 (H,wt=21): 8587 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(8542(a,1),7121(a,1,1))]. given #8167 (H,wt=17): 9213 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(273,a,8567,a(flip),b,8587,a),flip(a)]. given #8168 (H,wt=15): 9216 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(108(a,1),9213(a,1,2))]. given #8169 (H,wt=13): 9222 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(62,a,7107,a(flip),b,9216,a)]. given #8170 (H,wt=14): 9220 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(6562,a,9216,a),flip(a)]. given #8171 (H,wt=15): 9218 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(197(a,1),9213(a,1,2)),flip(a)]. given #8172 (H,wt=17): 9215 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(12(a,1),9213(a,1,2)),flip(a)]. given #8173 (H,wt=17): 9217 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(196(a,1),9213(a,1,2))]. given #8174 (H,wt=19): 9219 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6424(a,1),9213(a,1,2))]. given #8175 (H,wt=17): 9224 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(273,a,7118,a(flip),b,9219,a),flip(a)]. given #8176 (H,wt=21): 8591 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(7763(a,1),8542(a,1,1))]. given #8177 (H,wt=21): 8607 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7354(a,1),8545(a,1,2))]. given #8178 (H,wt=17): 9227 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(62,a,8594,a(flip),b,8607,a)]. given #8179 (H,wt=15): 9228 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8834,a,9227,a),flip(a)]. given #8180 (H,wt=19): 9230 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9228(a,1),8226(a,1,1,2)),flip(a)]. given #8181 (H,wt=15): 9231 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(273,a,8226,a(flip),b,9230,a),flip(a)]. given #8182 (H,wt=15): 9232 K(x,(y * x) / z) = K(x,(x * y) / z). [para(5132(a,1),9231(a,1,2,1)),flip(a)]. given #8183 (H,wt=15): 9235 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(273,a,6198,a(flip),b,9232,a),flip(a)]. given #8184 (H,wt=17): 9234 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8836(a,1),9231(a,1,2,1))]. given #8185 (H,wt=17): 9236 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(9232(a,1),5163(a,2,2)),flip(a)]. given #8186 (H,wt=15): 9239 T(x,(y * x) / z) = T(x,(x * y) / z). [hyper(5167,a,9236,a),flip(a)]. given #8187 (H,wt=17): 9238 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(62,a,8549,a,b,9235,a)]. given #8188 (H,wt=17): 9241 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(8547,a,9238,a)]. given #8189 (H,wt=17): 9242 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(74(a,1),9241(a,1,2,1,1)),flip(a)]. given #8190 (H,wt=18): 9237 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(9232(a,2),6566(a,1))]. given #8191 (H,wt=19): 9233 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(5536(a,1),9231(a,1,2,1))]. given #8192 (H,wt=20): 9240 T(x,(y * x) / z) != x * u | K(x,(x * y) / z) = u. [para(9236(a,1),42(a,1))]. given #8193 (H,wt=20): 9243 T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. [para(8549(a,2),9237(a,1))]. given #8194 (H,wt=21): 8629 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7907(a,1),8558(a,1,2))]. given #8195 (H,wt=17): 9244 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(62,a,8593,a(flip),b,8629,a)]. given #8196 (H,wt=15): 9245 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8952,a,9244,a),flip(a)]. given #8197 (H,wt=15): 9247 K(x / (y * z),z) = K(x / (z * y),z). [para(86(a,1),9245(a,1,1,2)),flip(a)]. given #8198 (H,wt=15): 9248 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7476(a,1),9245(a,1,1,2))]. given #8199 (H,wt=15): 9249 K(x / (K(y,z) * u),z) = K(x / u,z). [para(7486(a,1),9245(a,1,1,2)),flip(a)]. given #8200 (H,wt=19): 9251 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(9249(a,1),5201(a,2,2,2))]. given #8201 (H,wt=15): 9252 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(273,a,5201,a,b,9251,a),flip(a)]. given #8202 (H,wt=15): 9254 T(x,y / (z * x)) = T(x,y / (x * z)). [para(5132(a,1),9252(a,1,2,2))]. given #8203 (H,wt=20): 9253 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(20(a,2),9252(a,1,2)),flip(a)]. given #8204 (H,wt=16): 9255 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(11(a,1),9253(a,1,2)),flip(a)]. given #8205 (H,wt=12): 9256 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(273,a,8248,a(flip),b,9255,a),flip(a)]. given #8206 (H,wt=14): 9259 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(115,a,9256,a(flip),b,5163,a(flip)),flip(a)]. given #8207 (H,wt=12): 9260 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(273,a,5111,a,b,9259,a),flip(a)]. given #8208 (H,wt=18): 9261 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(31(a,1),9260(a,1,2))]. given #8209 (H,wt=21): 8642 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8248(a,1),8569(a,1,1))]. given #8210 (H,wt=17): 9263 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(62,a,9174,a(flip),b,8642,a)]. given #8211 (H,wt=15): 9265 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(62,a,8569,a(flip),b,9263,a),flip(a)]. given #8212 (H,wt=15): 9266 K(x,y / (z * x)) = K(x,y / (x * z)). [para(86(a,1),9265(a,1,2,2))]. given #8213 (H,wt=15): 9269 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(7509(a,1),9265(a,1,2,2)),flip(a)]. given #8214 (H,wt=17): 9267 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1238(a,1),9265(a,1,2,2))]. given #8215 (H,wt=17): 9270 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(273,a,6913,a(flip),b,9266,a),flip(a)]. given #8216 (H,wt=17): 9274 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(12(a,1),9270(a,1,2,2,1)),flip(a)]. given #8217 (H,wt=18): 9272 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(105(a,2),9266(a,2,2)),flip(a)]. given #8218 (H,wt=18): 9275 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(62,a,5360,a(flip),b,9272,a)]. given #8219 (H,wt=19): 9271 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(62,a,8148,a(flip),b,9266,a)]. given #8220 (H,wt=20): 9273 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(20(a,2),9269(a,1,2)),flip(a)]. given #8221 (H,wt=16): 9276 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(11(a,1),9273(a,1,2)),flip(a)]. given #8222 (H,wt=12): 9277 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(273,a,7898,a(flip),b,9276,a),flip(a)]. given #8223 (H,wt=18): 9280 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(31(a,1),9277(a,1,2))]. given #8224 (H,wt=21): 8652 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(62,a,5338,a,b,8571,a)]. given #8225 (H,wt=21): 8663 K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). [para(5848(a,2),8580(a,1,2,2))]. given #8226 (H,wt=17): 9282 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(62,a,8660,a(flip),b,8663,a),flip(a)]. given #8227 (H,wt=21): 8670 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8611(a,1),6949(a,1,2))]. given #8228 (H,wt=21): 8674 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7593(a,1),8415(a,1,1,2))]. given #8229 (H,wt=17): 9283 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8417,a,8674,a),flip(a)]. given #8230 (H,wt=17): 9284 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(9(a,1),9283(a,1,2,2)),flip(a)]. given #8231 (H,wt=21): 8723 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8562(a,1),5114(a,2,2))]. given #8232 (H,wt=17): 9285 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8542(a,1),8723(a,1,1)),flip(a)]. given #8233 (H,wt=21): 8775 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(62,a,5951,a(flip),b,8767,a)]. given #8234 (H,wt=21): 8826 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(5354(a,1),8468(a,1,1,2))]. given #8235 (H,wt=21): 8830 T(x,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. [para(8829(a,1),8511(a,1,1))]. given #8236 (H,wt=21): 8842 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1678(a,1),8837(a,1,1,2))]. given #8237 (H,wt=17): 9288 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(62,a,8837,a(flip),b,8842,a),flip(a)]. given #8238 (H,wt=19): 9289 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(115,a,9288,a(flip),b,5163,a(flip)),flip(a)]. given #8239 (H,wt=17): 9290 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [hyper(273,a,5111,a,b,9289,a),flip(a)]. given #8240 (H,wt=17): 9291 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [hyper(62,a,6728,a,b,9290,a)]. given #8241 (H,wt=21): 8843 T(x,T(T(x,y) * z,u)) = (u * T(x,x * z)) / T(u,x). [para(7359(a,1),8837(a,1,1,2)),flip(a)]. given #8242 (H,wt=17): 9292 T(x,T(T(x,y) * z,u)) = T(x,T(x * z,u)). [hyper(273,a,8837,a(flip),b,8843,a),flip(a)]. given #8243 (H,wt=21): 8847 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4278(a,1),8556(a,1,1,1)),flip(a)]. given #8244 (H,wt=21): 8850 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(7166,a,8557,a)]. given #8245 (H,wt=17): 9295 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(8542(a,1),8850(a,1,1)),flip(a)]. given #8246 (H,wt=15): 9297 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(170(a,1),9295(a,1,1,2)),flip(a)]. given #8247 (H,wt=17): 9296 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [hyper(62,a,8299,a,b,9295,a)]. given #8248 (H,wt=17): 9304 L(K(x,y),K(x,z) * u,w) = L(K(x,y),u,w). [para(7509(a,1),9296(a,1,2)),flip(a)]. given #8249 (H,wt=19): 9300 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5110(a,2),9297(a,1,2)),flip(a)]. given #8250 (H,wt=21): 8855 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(27(a,2),8853(a,1,1))]. given #8251 (H,wt=21): 8859 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(8584(a,1),8542(a,1,1))]. given #8252 (H,wt=19): 9305 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(273,a,8579,a(flip),b,8859,a),flip(a)]. given #8253 (H,wt=21): 8864 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(7024(a,1),8646(a,1,1))]. given #8254 (H,wt=21): 8867 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(27(a,2),8866(a,1,1))]. given #8255 (H,wt=21): 8871 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8701(a,1),7501(a,1,1)),flip(a)]. given #8256 (H,wt=21): 8887 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(6589(a,1),8790(a,1,2,1))]. given #8257 (H,wt=21): 8893 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8710(a,1),8845(a,1,1)),flip(a)]. given #8258 (H,wt=21): 8896 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(62,a,7595,a(flip),b,8870,a),flip(a)]. given #8259 (H,wt=19): 9308 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(62,a,8493,a(flip),b,8896,a),flip(a)]. given #8260 (H,wt=21): 8950 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(110(a,1),8949(a,1,2,2)),flip(a)]. given #8261 (H,wt=16): 9309 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(62,a,7773,a(flip),b,8950,a),flip(a)]. given #8262 (H,wt=16): 9311 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(9(a,1),9309(a,1,2,2)),flip(a)]. given #8263 (H,wt=17): 9312 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(167(a,1),9309(a,1,2,2)),flip(a)]. given #8264 (H,wt=17): 9314 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(62,a,7708,a,b,9312,a)]. given #8265 (H,wt=17): 9315 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [hyper(62,a,7445,a(flip),b,9312,a),flip(a)]. given #8266 (H,wt=17): 9317 K(x,T(y * x,y * z)) = K(x,T(x * y,z)). [hyper(62,a,6728,a,b,9315,a)]. given #8267 (H,wt=17): 9318 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [para(10(a,1),9315(a,1,2,2)),flip(a)]. given #8268 (H,wt=19): 9319 K(x,T((y / z) * x,y)) = K(x,T(x * (y / z),z)). [para(12(a,1),9317(a,1,2,2))]. given #8269 (H,wt=20): 9313 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(273,a,8676,a,b,9311,a),flip(a)]. given #8270 (H,wt=16): 9321 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8739,a,9313,a)]. given #8271 (H,wt=16): 9322 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(10(a,1),9321(a,1,2,2)),flip(a)]. given #8272 (H,wt=16): 9324 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(62,a,8763,a,b,9322,a)]. given #8273 (H,wt=16): 9325 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(77(a,1),9324(a,1,2,2)),flip(a)]. given #8274 (H,wt=13): 9327 K(x,K(y,x / z)) = K(x,K(y,z)). [para(341(a,1),9325(a,1,2,2,1))]. given #8275 (H,wt=13): 9328 K(x,K(y,x / z)) = K(x,K(z,y)). [hyper(273,a,8458,a,b,9327,a),flip(a)]. given #8276 (H,wt=13): 9329 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(62,a,8762,a(flip),b,9327,a),flip(a)]. given #8277 (H,wt=13): 9330 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(62,a,8458,a,b,9328,a)]. given #8278 (H,wt=13): 9331 K(x / y,K(x,z)) = K(x,K(y,z)). [hyper(62,a,8443,a(flip),b,9328,a)]. given #8279 (H,wt=16): 9326 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(62,a,8762,a(flip),b,9325,a),flip(a)]. given #8280 (H,wt=17): 9323 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(104(a,1),9321(a,1,2,2))]. given #8281 (H,wt=17): 9333 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(62,a,8440,a,b,9323,a)]. given #8282 (H,wt=15): 9336 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(273,a,8495,a(flip),b,9333,a),flip(a)]. given #8283 (H,wt=17): 9335 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(273,a,8440,a,b,9333,a),flip(a)]. given #8284 (H,wt=19): 9332 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(273,a,9057,a,b,9330,a),flip(a)]. given #8285 (H,wt=21): 8983 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(273,a,8466,a,b,8394,a)]. given #8286 (H,wt=21): 9011 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(9010(a,1),7476(a,1,2))]. given #8287 (H,wt=21): 9017 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(5489(a,1),8594(a,1,1,2)),flip(a)]. given #8288 (H,wt=21): 9019 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [para(9018(a,1),260(a,1,2)),flip(a)]. given #8289 (H,wt=19): 9338 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(273,a,5290,a(flip),b,9019,a),flip(a)]. given #8290 (H,wt=21): 9022 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(12(a,1),8634(a,1,2,1,1)),flip(a)]. given #8291 (H,wt=21): 9026 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(629(a,1),9024(a,1,2))]. given #8292 (H,wt=21): 9029 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(8653(a,1),5163(a,2,2))]. given #8293 (H,wt=21): 9032 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(62,a,6801,a,b,8656,a)]. given #8294 (H,wt=21): 9033 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(8662(a,1),5108(a,2,2))]. given #8295 (H,wt=19): 9344 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(273,a,5108,a,b,9033,a),flip(a)]. given #8296 (H,wt=21): 9035 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(34,a,7622,a,b,8667,a)]. given #8297 (H,wt=21): 9046 T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). [para(8684(a,1),5500(a,1,2)),flip(a)]. given #8298 (H,wt=13): 9347 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(34,a,8494,a,b,9046,a)]. given #8299 (H,wt=13): 9348 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(8812,a,9347,a)]. given #8300 (H,wt=13): 9349 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(273,a,8502,a,b,9348,a),flip(a)]. given #8301 (H,wt=13): 9351 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(6652,a,9349,a)]. given #8302 (H,wt=19): 9350 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(115,a,9348,a(flip),b,7604,a)]. given #8303 (H,wt=19): 9352 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(9349(a,1),8511(a,1,1))]. given #8304 (H,wt=19): 9354 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(273,a,8597,a(flip),b,9352,a),flip(a)]. given #8305 (H,wt=17): 9355 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(5496,a,9354,a)]. given #8306 (H,wt=17): 9356 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(33,a,8448,a,b,9354,a(flip))]. given #8307 (H,wt=17): 9359 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(8411(a,1),9355(a,1,1))]. given #8308 (H,wt=17): 9360 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(8443(a,2),9355(a,1,1))]. given #8309 (H,wt=17): 9361 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [hyper(8484,a,9359,a)]. given #8310 (H,wt=21): 9059 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,6032,a(flip),b,8778,a)]. given #8311 (H,wt=21): 9065 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8841(a,1),6471(a,1,1,1))]. given #8312 (H,wt=21): 9099 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4294(a,1),9060(a,1,2,1)),flip(a)]. given #8313 (H,wt=21): 9106 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(9104(a,1),42(a,1)),flip(a)]. given #8314 (H,wt=21): 9110 (x * (y * z)) * K(z,L(y,z,x)) != u | x * (z * y) = u. [para(9105(a,1),225(a,1,2))]. given #8315 (H,wt=21): 9137 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(9131(a,1),42(a,1)),flip(a)]. given #8316 (H,wt=21): 9138 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(9131(a,1),288(a,1,2))]. given #8317 (H,wt=21): 9150 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(6362(a,1),9147(a,1,2)),flip(a)]. given #8318 (H,wt=21): 9200 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(8356(a,1),8354(a,1,1)),flip(a)]. given #8319 (H,wt=21): 9201 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(5626(a,2),8360(a,1,2,1,2))]. given #8320 (H,wt=21): 9204 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(273,a,25,a,b,8364,a),flip(a)]. given #8321 (H,wt=21): 9209 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6172(a,1),9208(a,2,2))]. given #8322 (H,wt=19): 9370 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(273,a,8751,a(flip),b,9209,a),flip(a)]. given #8323 (H,wt=17): 9372 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8751(a,1),9370(a,1,1))]. given #8324 (H,wt=17): 9373 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8752(a,1),9370(a,1,1))]. given #8325 (H,wt=17): 9374 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(62,a,9208,a(flip),b,9372,a)]. given #8326 (H,wt=17): 9375 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(62,a,9372,a(flip),b,9373,a),flip(a)]. given #8327 (H,wt=12): 9378 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(273,a,3158,a(flip),b,9375,a),flip(a)]. given #8328 (H,wt=17): 9376 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(62,a,9207,a(flip),b,9373,a)]. given #8329 (H,wt=17): 9377 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(62,a,9205,a(flip),b,9373,a)]. given #8330 (H,wt=21): 9226 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(9224(a,2),8987(a,2,1)),flip(a)]. given #8331 (H,wt=21): 9281 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5135(a,1),8652(a,1,1,1,2))]. given #8332 (H,wt=21): 9301 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8542(a,1),9297(a,1,1))]. given #8333 (H,wt=17): 9384 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(273,a,8557,a(flip),b,9301,a),flip(a)]. given #8334 (H,wt=17): 9386 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(10(a,1),9384(a,1,2)),flip(a)]. given #8335 (H,wt=14): 9387 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(273,a,324,a(flip),b,9386,a),flip(a)]. given #8336 (H,wt=12): 9390 L(K(x,y),K(z,x),u) = K(x,y). [hyper(62,a,9300,a(flip),b,9387,a)]. given #8337 (H,wt=17): 9388 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9386(a,2),325(a,1))]. given #8338 (H,wt=14): 9395 K(x \ (x * y),z) != u | K(y,z) = u. [para(322(a,1),9388(a,1,1))]. given #8339 (H,wt=14): 9396 K((x / y) \ x,z) != u | K(y,z) = u. [para(12(a,1),9395(a,1,1,2))]. given #8340 (H,wt=14): 9398 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7827(a,1),9395(a,1))]. given #8341 (H,wt=14): 9399 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(7965(a,1),9395(a,1))]. given #8342 (H,wt=15): 9404 K(L(x,K(y,z),u),y) != w | K(x,y) = w. [para(7823(a,2),9398(a,1))]. given #8343 (H,wt=16): 9397 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7518(a,2),9395(a,1))]. given #8344 (H,wt=14): 9405 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(8570(a,1),9397(a,1))]. given #8345 (H,wt=14): 9407 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7501(a,2),9405(a,1))]. given #8346 (H,wt=16): 9400 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(8382(a,1),9395(a,1))]. given #8347 (H,wt=16): 9401 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8558(a,1),9395(a,1))]. given #8348 (H,wt=16): 9402 K(x,K(y,1 / z)) != u | K(z,K(x,y)) = u. [para(8758(a,1),9396(a,1))]. given #8349 (H,wt=14): 9422 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8759(a,1),9402(a,1))]. given #8350 (H,wt=14): 9423 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8411(a,1),9422(a,1))]. given #8351 (H,wt=14): 9424 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8412(a,2),9422(a,1))]. given #8352 (H,wt=14): 9425 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8440(a,1),9422(a,1))]. given #8353 (H,wt=14): 9426 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(8441(a,2),9422(a,1))]. given #8354 (H,wt=14): 9427 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(8442(a,2),9422(a,1))]. given #8355 (H,wt=14): 9428 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8443(a,2),9422(a,1))]. given #8356 (H,wt=14): 9429 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8458(a,1),9422(a,1))]. given #8357 (H,wt=16): 9406 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(110(a,1),9405(a,1,2,1))]. given #8358 (H,wt=16): 9408 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(7528(a,1),9405(a,1))]. given #8359 (H,wt=16): 9412 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(8545(a,1),9405(a,1))]. given #8360 (H,wt=16): 9416 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(110(a,1),9407(a,1,2))]. given #8361 (H,wt=16): 9418 K(T(x / (x / y),x),z) != u | K(y,z) = u. [para(8638(a,2),9407(a,1))]. given #8362 (H,wt=16): 9419 K(x * y,K(y,z)) != u | K(x,K(y,z)) = u. [para(8340(a,2),9400(a,1))]. given #8363 (H,wt=16): 9421 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5135(a,1),9401(a,1,1))]. given #8364 (H,wt=16): 9430 K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. [para(8522(a,2),9422(a,1))]. given #8365 (H,wt=16): 9433 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8413(a,2),9423(a,1))]. given #8366 (H,wt=16): 9434 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8750(a,2),9423(a,1))]. given #8367 (H,wt=16): 9435 K(x,K(y \ 1,z)) != u | K(x,K(z,y)) = u. [para(8753(a,2),9423(a,1))]. given #8368 (H,wt=16): 9436 K(x \ 1,K(y,z)) != u | K(y,K(x,z)) = u. [para(8758(a,2),9423(a,1))]. given #8369 (H,wt=16): 9437 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8767(a,2),9423(a,1))]. given #8370 (H,wt=16): 9441 K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. [para(9328(a,1),9423(a,1))]. given #8371 (H,wt=16): 9442 K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. [para(8381(a,2),9425(a,1))]. given #8372 (H,wt=16): 9443 K(x,K(y,z)) != u | K(x,K(y,z * y)) = u. [para(8410(a,1),9425(a,1))]. given #8373 (H,wt=16): 9445 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8768(a,2),9428(a,1))]. given #8374 (H,wt=16): 9446 K(x,K(y,y * z)) != u | K(y,K(x,z)) = u. [para(8436(a,2),9429(a,1))]. given #8375 (H,wt=16): 9455 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(7460(a,1),9412(a,1))]. given #8376 (H,wt=16): 9460 K(x,K(y,z)) != u | K(x,K(y,y * z)) = u. [para(9(a,1),9430(a,1,2,2))]. given #8377 (H,wt=16): 9464 K(1 / x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8443(a,1),9445(a,1))]. given #8378 (H,wt=16): 9465 T(K(x,y),z) != u | K((x \ z) \ z,y) = u. [para(74(a,1),9455(a,1,1,1))]. given #8379 (H,wt=17): 9403 K(L(x,y,x),y) != z | K(T(x,x * y),y) = z. [para(5493(a,1),9398(a,1,1))]. given #8380 (H,wt=17): 9409 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(7520(a,1),9405(a,1))]. given #8381 (H,wt=18): 9389 K(T(x,y),T(z,y)) = K(L(x,T(x,u) \ 1,w),z). [hyper(273,a,8542,a,b,9387,a)]. given #8382 (H,wt=18): 9413 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(23(a,1),9407(a,1,2))]. given #8383 (H,wt=18): 9431 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7501(a,1),9423(a,1,2))]. given #8384 (H,wt=18): 9438 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8756(a,1),9423(a,1))]. given #8385 (H,wt=16): 9470 K(x,K(y,z)) != u | K(x,K(y,y \ z)) = u. [para(8749(a,1),9438(a,1))]. given #8386 (H,wt=18): 9439 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8762(a,2),9423(a,1))]. given #8387 (H,wt=18): 9440 K(K(x,y) * z,K(x,u)) != w | K(x,K(z,u)) = w. [para(8791(a,2),9423(a,1))]. given #8388 (H,wt=18): 9461 K(x,K(y \ z,y)) != u | K(x,K(z / y,z)) = u. [para(6218(a,1),9430(a,1,2))]. given #8389 (H,wt=18): 9462 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5854(a,1),9434(a,1,2))]. given #8390 (H,wt=18): 9463 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5858(a,2),9434(a,1,2))]. given #8391 (H,wt=19): 9392 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9390(a,1),94(a,1,2))]. given #8392 (H,wt=10): 9472 R(x,K(y,z),K(z,u)) = x. [hyper(478,a,9392,a)]. given #8393 (H,wt=12): 9478 R(x,T(K(y,z),u),K(z,w)) = x. [para(1569(a,1),9472(a,1,2))]. given #8394 (H,wt=13): 9482 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(6161(a,1),9472(a,1,3))]. given #8395 (H,wt=13): 9483 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6176(a,1),9472(a,1,3))]. given #8396 (H,wt=13): 9484 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6260(a,1),9472(a,1,2))]. given #8397 (H,wt=14): 9485 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6025(a,1),9478(a,1,3))]. given #8398 (H,wt=16): 9486 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(9482(a,1),50(a,2))]. given #8399 (H,wt=16): 9487 R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. [para(9483(a,1),50(a,2))]. given #8400 (H,wt=18): 9476 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(273,a,8224,a(flip),b,9472,a),flip(a)]. given #8401 (H,wt=19): 9471 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(8238,a,9392,a)]. given #8402 (H,wt=12): 9493 L(K(x,y),K(z,y),u) = K(x,y). [hyper(9137,a,9471,a)]. given #8403 (H,wt=19): 9475 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2226(a,2),9392(a,2,2))]. given #8404 (H,wt=19): 9494 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(3471,a,9471,a),flip(a)]. given #8405 (H,wt=17): 9500 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3482(a,1),9494(a,1,2))]. given #8406 (H,wt=19): 9495 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2226(a,2),9471(a,1,1,2))]. given #8407 (H,wt=19): 9496 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(9493(a,1),94(a,1,2))]. given #8408 (H,wt=19): 9498 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(8218(a,1),9475(a,1,1)),flip(a)]. given #8409 (H,wt=19): 9502 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(34,a,9471,a,b,9495,a(flip))]. given #8410 (H,wt=19): 9506 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(8218(a,1),9496(a,1,1)),flip(a)]. given #8411 (H,wt=19): 9507 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(122,a,9498,a)]. given #8412 (H,wt=19): 9509 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(128,a,9502,a)]. given #8413 (H,wt=19): 9511 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(7494(a,1),9506(a,1,2))]. given #8414 (H,wt=17): 9513 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(115,a,5371,a(flip),b,9511,a)]. given #8415 (H,wt=19): 9514 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(62,a,9496,a,b,9511,a)]. given #8416 (H,wt=19): 9516 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(8238,a,9514,a),flip(a)]. given #8417 (H,wt=19): 9517 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(34,a,9495,a,b,9514,a),flip(a)]. given #8418 (H,wt=10): 9521 R(x,K(y,z),K(u,y)) = x. [hyper(478,a,9517,a)]. given #8419 (H,wt=20): 9410 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(7515(a,2),9405(a,1))]. given #8420 (H,wt=20): 9411 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(7516(a,2),9405(a,1))]. given #8421 (H,wt=20): 9414 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(25(a,2),9407(a,1,2))]. given #8422 (H,wt=20): 9415 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(27(a,2),9407(a,1,2))]. given #8423 (H,wt=20): 9420 K(T(x,x * y) * y,z) != u | K(x * y,T(z,x)) = u. [para(4070(a,1),9401(a,1,1))]. given #8424 (H,wt=20): 9432 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7518(a,2),9423(a,1,2))]. given #8425 (H,wt=20): 9447 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(8688(a,2),9429(a,1))]. given #8426 (H,wt=20): 9448 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(9054(a,1),9429(a,1))]. given #8427 (H,wt=20): 9449 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(9054(a,2),9429(a,1))]. given #8428 (H,wt=20): 9450 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(9056(a,2),9429(a,1))]. given #8429 (H,wt=20): 9454 K(L(x,y,z) / u,x) != w | K(u \ L(x,y,z),x) = w. [para(160(a,1),9412(a,1,2))]. given #8430 (H,wt=20): 9458 K(x * K(y,T(x,z)),u) != w | K(x,T(u,T(y,z))) = w. [para(7501(a,1),9421(a,1,1,2))]. given #8431 (H,wt=20): 9468 K(x,K(y,T(z,u))) != w | K(z,K(x,T(x \ y,u))) = w. [para(8742(a,1),9431(a,1))]. given #8432 (H,wt=20): 9469 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8742(a,2),9431(a,1))]. given #8433 (H,wt=20): 9526 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(9301(a,2),9410(a,1))]. given #8434 (H,wt=18): 9530 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(107(a,1),9526(a,1,2,1))]. given #8435 (H,wt=16): 9531 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(7121(a,1),9530(a,1))]. given #8436 (H,wt=20): 9528 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(9050(a,2),9448(a,1))]. given #8437 (H,wt=20): 9529 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(9051(a,2),9448(a,1))]. given #8438 (H,wt=21): 9306 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(27(a,2),8867(a,2,1))]. given #8439 (H,wt=21): 9320 K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). [para(12(a,1),9318(a,1,2,1)),flip(a)]. given #8440 (H,wt=21): 9334 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9323(a,1),8476(a,1,1))]. given #8441 (H,wt=17): 9533 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8685,a,9334,a),flip(a)]. given #8442 (H,wt=17): 9534 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(10(a,1),9533(a,1,2,2,1)),flip(a)]. given #8443 (H,wt=17): 9535 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7657,a,9534,a),flip(a)]. given #8444 (H,wt=19): 9536 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(12(a,1),9535(a,1,2,2)),flip(a)]. given #8445 (H,wt=21): 9346 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7453(a,1),9344(a,2,1,2))]. given #8446 (H,wt=21): 9362 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(8436(a,1),9359(a,1,1))]. given #8447 (H,wt=21): 9365 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(8588(a,1),9150(a,1,2,2))]. given #8448 (H,wt=21): 9381 K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). [hyper(273,a,9050,a(flip),b,9226,a),flip(a)]. given #8449 (H,wt=21): 9382 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(129,a,9281,a)]. given #8450 (H,wt=21): 9383 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(9281(a,1),5741(a,1,1))]. given #8451 (H,wt=21): 9499 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(8230(a,1),9475(a,1,1)),flip(a)]. given #8452 (H,wt=21): 9512 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7476(a,1),9507(a,1,1))]. given #8453 (H,wt=21): 9518 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(9514(a,1),8245(a,1,1)),flip(a)]. given #8454 (H,wt=21): 9519 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(116,a,9516,a(flip),b,8271,a)]. given #8455 (H,wt=21): 9532 K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). [hyper(273,a,6017,a(flip),b,9320,a),flip(a)]. given #8456 (H,wt=17): 9542 K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). [para(12(a,1),9532(a,1,2,1)),flip(a)]. given #8457 (H,wt=17): 9543 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(273,a,6017,a(flip),b,9542,a),flip(a)]. given #8458 (H,wt=21): 9537 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9382(a,1),5419(a,1,2))]. given #8459 (H,wt=21): 9539 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(62,a,6671,a(flip),b,9383,a)]. given #8460 (H,wt=21): 9540 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(7501(a,1),9512(a,2,2))]. given #8461 (H,wt=21): 9541 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(62,a,6460,a(flip),b,9519,a)]. given #8462 (H,wt=19): 9547 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(8234(a,1),9541(a,1,1)),flip(a)]. given #8463 (H,wt=22): 8236 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(8218(a,1),18(a,2,2,2))]. given #8464 (H,wt=22): 8336 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,(x * y) \ z) = u. [para(6907(a,1),8240(a,1,1))]. given #8465 (H,wt=22): 8359 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(8355(a,1),6899(a,1,1))]. given #8466 (H,wt=22): 8373 x * K(y,x \ z) != u * w | u \ (T(z / x,y) \ z) = w. [para(8371(a,1),378(a,1,2))]. given #8467 (H,wt=22): 8431 (x * K(y,z)) * K(y,K(z,u)) != w | x * T(K(y,z),u) = w. [para(8412(a,1),6487(a,1,2))]. given #8468 (H,wt=22): 8552 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(8535(a,1),584(a,1,2,1)),flip(a)]. given #8469 (H,wt=22): 8605 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(62,a,7114,a,b,8545,a)]. given #8470 (H,wt=22): 8623 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8553(a,1),7598(a,1))]. given #8471 (H,wt=22): 8632 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(18(a,2),8559(a,1,2,1)),flip(a)]. given #8472 (H,wt=22): 8789 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(62,a,8157,a(flip),b,8784,a),flip(a)]. given #8473 (H,wt=22): 8851 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1214(a,1),8557(a,1,1))]. given #8474 (H,wt=22): 8854 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1214(a,1),8567(a,1,2))]. given #8475 (H,wt=22): 8938 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(8912(a,1),8934(a,1))]. given #8476 (H,wt=22): 8941 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8473(a,2),8425(a,1,2))]. given #8477 (H,wt=22): 8956 K(x,T(T(y,z),z * x)) != u | K(T(z * x,x) / z,y) = u. [para(8648(a,1),8952(a,1))]. given #8478 (H,wt=22): 9005 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2712(a,1),8529(a,1,1))]. given #8479 (H,wt=22): 9058 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(256(a,1),9054(a,2,2,2))]. given #8480 (H,wt=22): 9068 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(62,a,7272,a,b,8852,a)]. given #8481 (H,wt=19): 9552 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(62,a,7822,a(flip),b,9068,a)]. given #8482 (H,wt=15): 9553 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(273,a,8568,a(flip),b,9552,a),flip(a)]. given #8483 (H,wt=18): 9554 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(9552(a,2),9415(a,1))]. given #8484 (H,wt=22): 9111 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(273,a,6021,a(flip),b,9108,a),flip(a)]. given #8485 (H,wt=22): 9122 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(115,a,9079,a(flip),b,5500,a),flip(a)]. given #8486 (H,wt=22): 9124 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(115,a,9081,a(flip),b,5500,a),flip(a)]. given #8487 (H,wt=22): 9125 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(115,a,9081,a(flip),b,5137,a),flip(a)]. given #8488 (H,wt=22): 9141 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(8282(a,2),9134(a,1,1,2))]. given #8489 (H,wt=22): 9153 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9149(a,1),6256(a,1,1))]. given #8490 (H,wt=22): 9171 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(14(a,2),9167(a,1,2)),flip(a)]. given #8491 (H,wt=21): 9562 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(585(a,1),9171(a,1,2))]. given #8492 (H,wt=10): 9563 K(x,a(K(x,y),z,u)) = 1. [hyper(62,a,6034,a(flip),b,9562,a),flip(a)]. given #8493 (H,wt=10): 9565 T(x,a(K(x,y),z,u)) = x. [hyper(55,a,9563,a)]. given #8494 (H,wt=14): 9567 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9565(a,1),23(a,1,1)),flip(a)]. given #8495 (H,wt=15): 9566 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(53,a,9565,a)]. given #8496 (H,wt=17): 9568 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9565(a,1),108(a,1,2))]. given #8497 (H,wt=21): 9569 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9565(a,1),7505(a,1,2,1)),flip(a)]. given #8498 (H,wt=21): 9571 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9566(a,1),7505(a,1,2,1)),flip(a)]. given #8499 (H,wt=22): 9221 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(62,a,7116,a(flip),b,9216,a),flip(a)]. given #8500 (H,wt=22): 9223 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(9216(a,1),94(a,1,2))]. given #8501 (H,wt=22): 9299 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(62,a,7132,a(flip),b,9297,a),flip(a)]. given #8502 (H,wt=22): 9357 T(x,K(y,z)) * K(y,z \ x) != x * u | K(y,x / z) = u. [para(9354(a,2),42(a,1))]. given #8503 (H,wt=22): 9417 K(T(x,y \ 1),(1 / y) \ z) != u | K(x,z / (1 / y)) = u. [para(3084(a,1),9407(a,1,2))]. given #8504 (H,wt=22): 9452 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(4918(a,1),9406(a,1,2))]. given #8505 (H,wt=22): 9457 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5633(a,2),9421(a,1))]. given #8506 (H,wt=22): 9459 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(8859(a,2),9421(a,1))]. given #8507 (H,wt=22): 9503 x * K(y,z) != u * K(w,z) | u * (K(z,y) * K(w,z)) = x. [para(9495(a,1),43(a,2)),flip(b)]. given #8508 (H,wt=22): 9504 (x * (K(y,z) * K(u,y))) * K(z,y) != w * K(u,y) | x = w. [para(9495(a,2),43(a,1))]. given #8509 (H,wt=22): 9505 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(9495(a,1),8256(a,1,1)),flip(b)]. given #8510 (H,wt=22): 9510 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9502(a,1),280(a,1,1))]. given #8511 (H,wt=22): 9550 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(9413,a,8851,a),flip(a)]. given #8512 (H,wt=22): 9570 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9567(a,1),5265(a,1,2))]. given #8513 (H,wt=22): 9573 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(5135(a,2),9457(a,1,2,1))]. given #8514 (H,wt=22): 9575 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(9516(a,2),9505(a,1))]. given #8515 (H,wt=23): 8216 T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). [para(7601(a,1),8203(a,1,1))]. given #8516 (H,wt=23): 8264 (K(x,y) * z) * (K(y,x) * u) = K(x,y) * ((z * K(y,x)) * u). [para(8224(a,1),5393(a,2,2,1))]. given #8517 (H,wt=23): 8331 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5819(a,1),8240(a,1,1))]. given #8518 (H,wt=23): 8332 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5822(a,1),8240(a,1,1))]. given #8519 (H,wt=22): 9579 K(R(x,y,z),x * (u \ 1)) != w | K(R(x,y,z),u \ x) = w. [para(6067(a,1),8332(a,1))]. given #8520 (H,wt=23): 8349 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1409(a,1),8275(a,1,1))]. given #8521 (H,wt=23): 8379 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [para(8378(a,1),108(a,1,2))]. given #8522 (H,wt=17): 9582 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(8310,a,8379,a),flip(a)]. given #8523 (H,wt=17): 9583 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5491(a,2),9582(a,1,2))]. given #8524 (H,wt=23): 8386 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5134(a,1),8246(a,1,2,1))]. given #8525 (H,wt=19): 9584 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5405(a,1),8386(a,1,1,2))]. given #8526 (H,wt=19): 9585 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5754(a,1),9584(a,2,2))]. given #8527 (H,wt=10): 9587 R(x,K(y \ 1,z),y) = x. [hyper(4978,a,9585,a)]. given #8528 (H,wt=10): 9588 R(x,y,K(y \ 1,z)) = x. [hyper(6932,a,9587,a)]. given #8529 (H,wt=12): 9591 R(x,y \ z,K(y / z,u)) = x. [para(8624(a,1),9588(a,1,3))]. given #8530 (H,wt=19): 9590 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(9588(a,1),104(a,1,1)),flip(a)]. given #8531 (H,wt=14): 9593 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(450,a,9590,a)]. given #8532 (H,wt=10): 9594 a(x,y,K(y \ 1,z)) = 1. [hyper(52,a,9593,a)]. given #8533 (H,wt=10): 9595 a(x,y \ 1,K(y,z)) = 1. [para(3109(a,1),9594(a,1,3))]. given #8534 (H,wt=12): 9596 L(K(x,y),x \ 1,z) = K(x,y). [hyper(51,a,9595,a)]. given #8535 (H,wt=16): 9597 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(62,a,6159,a(flip),b,9596,a)]. given #8536 (H,wt=18): 9598 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(9597(a,1),5163(a,2,2))]. given #8537 (H,wt=16): 9599 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(273,a,5163,a,b,9598,a),flip(a)]. given #8538 (H,wt=19): 9592 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(9591(a,1),466(a,1,1))]. given #8539 (H,wt=17): 9600 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(62,a,8177,a(flip),b,9592,a),flip(a)]. given #8540 (H,wt=23): 8390 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4181(a,1),8293(a,1,1,2)),flip(a)]. given #8541 (H,wt=23): 8401 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6570,a,8358,a)]. given #8542 (H,wt=21): 9602 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(273,a,6569,a(flip),b,8401,a),flip(a)]. given #8543 (H,wt=21): 9603 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(273,a,7585,a,b,9602,a),flip(a)]. given #8544 (H,wt=23): 8432 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(8412(a,1),6793(a,1,2))]. given #8545 (H,wt=23): 8474 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8443(a,2),8047(a,1,1))]. given #8546 (H,wt=23): 8475 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(8443(a,1),8055(a,2,1))]. given #8547 (H,wt=23): 8608 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(7916(a,1),8545(a,1,2))]. given #8548 (H,wt=21): 9607 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [hyper(62,a,7459,a(flip),b,8608,a)]. given #8549 (H,wt=23): 8627 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(8558(a,1),6419(a,1,2)),flip(a)]. given #8550 (H,wt=21): 9608 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(8558(a,1),8627(a,1,1)),flip(a)]. given #8551 (H,wt=17): 9609 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [hyper(525,a,9608,a),flip(a)]. given #8552 (H,wt=17): 9611 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(62,a,6156,a(flip),b,9609,a)]. given #8553 (H,wt=17): 9612 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(5304(a,1),9611(a,1,2))]. given #8554 (H,wt=20): 9610 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(9608(a,1),525(a,1))]. given #8555 (H,wt=21): 9613 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5841(a,1),9612(a,2,2))]. given #8556 (H,wt=23): 8628 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(7359(a,1),8558(a,1,2))]. given #8557 (H,wt=21): 9614 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(62,a,7445,a(flip),b,8628,a)]. given #8558 (H,wt=23): 8641 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4221(a,1),8569(a,1,1))]. given #8559 (H,wt=21): 9615 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(62,a,7435,a(flip),b,8641,a)]. given #8560 (H,wt=23): 8657 K(x * K(y,x),T(z,u)) = T(z * K(x,T(z,y)),u) / T(z,u). [para(8579(a,1),5734(a,1,1,1,2)),flip(a)]. given #8561 (H,wt=21): 9617 T(x * K(y,T(x,z)),u) / T(x,u) = K(y,T(T(x,u),z)). [hyper(9421,a,8657,a),flip(a)]. given #8562 (H,wt=23): 8664 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(8580(a,1),5766(a,1,2,1))]. given #8563 (H,wt=19): 9619 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5405(a,1),8664(a,1,2,2))]. given #8564 (H,wt=19): 9620 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [hyper(171,a,9619,a)]. given #8565 (H,wt=18): 9624 K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. [para(5332(a,1),9620(a,1,1)),flip(a)]. given #8566 (H,wt=16): 9625 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(7511(a,1),9624(a,1,1))]. given #8567 (H,wt=13): 9626 L(x,y,x) \ x = x \ R(x,y,x). [hyper(62,a,5811,a(flip),b,9625,a),flip(a)]. given #8568 (H,wt=19): 9622 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(5135(a,2),9620(a,1,1,1))]. given #8569 (H,wt=19): 9627 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(273,a,2226,a,b,9622,a),flip(a)]. given #8570 (H,wt=20): 9623 K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. [para(5319(a,1),9620(a,1,1)),flip(a)]. given #8571 (H,wt=16): 9629 K(x,y) * K(y,x * y) = R(y,x,y) \ y. [para(6379(a,1),9623(a,1,1))]. given #8572 (H,wt=13): 9630 R(x,y,x) \ x = x \ L(x,y,x). [hyper(62,a,9061,a(flip),b,9629,a),flip(a)]. given #8573 (H,wt=13): 9631 x / R(x,y,x) = x \ L(x,y,x). [hyper(62,a,6867,a,b,9630,a)]. given #8574 (H,wt=15): 9632 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(115,a,9630,a(flip),b,1066,a)]. given #8575 (H,wt=23): 8698 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7419(a,1),8506(a,1,2))]. given #8576 (H,wt=23): 8699 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(8506(a,1),8050(a,2,2))]. given #8577 (H,wt=19): 9635 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(62,a,8698,a(flip),b,8699,a)]. given #8578 (H,wt=19): 9636 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6366,a,9635,a),flip(a)]. given #8579 (H,wt=19): 9637 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(273,a,8996,a(flip),b,9636,a),flip(a)]. given #8580 (H,wt=23): 8704 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(273,a,8050,a(flip),b,8511,a),flip(a)]. given #8581 (H,wt=23): 8735 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7691(a,1),8615(a,1,1,2))]. given #8582 (H,wt=19): 9640 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8734,a,8735,a),flip(a)]. given #8583 (H,wt=23): 8744 T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). [para(8714(a,1),8612(a,1,1))]. given #8584 (H,wt=21): 9641 T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). [para(5918(a,1),8744(a,1,2))]. given #8585 (H,wt=23): 8769 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(115,a,8753,a(flip),b,5917,a(flip))]. given #8586 (H,wt=23): 8773 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6010(a,1),8757(a,1,2)),flip(a)]. given #8587 (H,wt=23): 8825 (K(x,y) * (x / z)) * K(x,K(y,z \ x)) = (x / z) * K(x,y). [para(6653(a,1),8465(a,1,2))]. given #8588 (H,wt=23): 8827 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(8493(a,1),8676(a,1,2))]. given #8589 (H,wt=23): 8963 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3220(a,1),8208(a,1,1,2)),flip(a)]. given #8590 (H,wt=21): 9644 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(62,a,8289,a(flip),b,8963,a),flip(a)]. given #8591 (H,wt=23): 8965 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(8232(a,1),4838(a,2,2))]. given #8592 (H,wt=23): 8971 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(7993(a,2),8966(a,1,1))]. given #8593 (H,wt=23): 8984 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(8394(a,2),8511(a,1,1))]. given #8594 (H,wt=23): 8985 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(8526(a,1),8427(a,1,1))]. given #8595 (H,wt=23): 9045 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4300(a,1),8682(a,1,2,2,2))]. given #8596 (H,wt=19): 9646 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8941,a,9045,a),flip(a)]. given #8597 (H,wt=23): 9049 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5775(a,1),8770(a,2,2))]. given #8598 (H,wt=21): 9647 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(273,a,8747,a(flip),b,9049,a),flip(a)]. given #8599 (H,wt=17): 9648 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(77(a,1),9647(a,1,2,2,1,2))]. given #8600 (H,wt=17): 9649 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(62,a,5714,a(flip),b,9648,a)]. given #8601 (H,wt=23): 9086 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(273,a,5924,a(flip),b,9015,a),flip(a)]. given #8602 (H,wt=23): 9090 K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). [para(16(a,1),9037(a,2,2,1))]. given #8603 (H,wt=23): 9143 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(9139(a,1),288(a,1,2))]. given #8604 (H,wt=23): 9158 T((x \ y) * x,((z \ y) * z) \ u) = (x \ T(y,y \ u)) * x. [para(9157(a,1),4920(a,2,1,2))]. given #8605 (H,wt=23): 9186 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(9181(a,1),5906(a,1,2,1))]. given #8606 (H,wt=23): 9193 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(110(a,1),9184(a,1,2,2,1)),flip(a)]. given #8607 (H,wt=23): 9210 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(12(a,1),8471(a,1,2,1))]. given #8608 (H,wt=23): 9268 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5182(a,1),9265(a,1,2,2)),flip(a)]. given #8609 (H,wt=23): 9294 K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. [para(8847(a,2),5371(a,1,1))]. given #8610 (H,wt=23): 9316 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(110(a,1),9314(a,1,2)),flip(a)]. given #8611 (H,wt=23): 9339 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4947,a,9338,a)]. given #8612 (H,wt=19): 9655 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(9338(a,1),9339(a,1,1))]. given #8613 (H,wt=23): 9342 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4294(a,1),9029(a,1,2,1))]. given #8614 (H,wt=23): 9371 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9209(a,2),8487(a,1,1))]. given #8615 (H,wt=21): 9656 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8750(a,1),9371(a,1,1,1)),flip(a)]. given #8616 (H,wt=21): 9657 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9208(a,1),9656(a,2,1))]. given #8617 (H,wt=19): 9658 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(273,a,5173,a,b,9657,a),flip(a)]. given #8618 (H,wt=17): 9659 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(62,a,8797,a(flip),b,9658,a),flip(a)]. given #8619 (H,wt=23): 9380 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [hyper(273,a,8429,a,b,9226,a),flip(a)]. given #8620 (H,wt=23): 9473 K(x,y) * (z * (K(u,y) * K(y,x))) = T(z * K(u,y),K(y,x)). [hyper(212,a,9392,a,b,5387,a),flip(a)]. given #8621 (H,wt=23): 9520 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7501(a,1),9516(a,1,2)),flip(a)]. given #8622 (H,wt=23): 9546 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7476(a,1),9540(a,1,2))]. given #8623 (H,wt=23): 9556 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(7867(a,1),9553(a,1,1))]. given #8624 (H,wt=19): 9662 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(62,a,9365,a(flip),b,9556,a)]. given #8625 (H,wt=17): 9663 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(9554,a,9662,a),flip(a)]. given #8626 (H,wt=17): 9666 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(8218(a,1),9663(a,1,2,1)),flip(a)]. given #8627 (H,wt=19): 9665 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(62,a,7872,a,b,9663,a)]. given #8628 (H,wt=21): 9667 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(8414(a,1),9666(a,1,2,1)),flip(a)]. given #8629 (H,wt=23): 9605 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8443(a,2),8474(a,2,2,1))]. given #8630 (H,wt=23): 9606 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(8443(a,1),8475(a,1,1,1))]. given #8631 (H,wt=23): 9634 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9632(a,1),5054(a,2,2))]. given #8632 (H,wt=21): 9670 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(273,a,2010,a(flip),b,9634,a),flip(a)]. given #8633 (H,wt=19): 9671 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5509(a,1),9670(a,1,2))]. given #8634 (H,wt=23): 9639 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(8713(a,1),8704(a,1,1))]. given #8635 (H,wt=23): 9643 (K(x,L(y,z,u)) * (x / y)) * 1 = (x / y) * K(x,L(y,z,u)). [para(9120(a,1),8825(a,1,2))]. given #8636 (H,wt=21): 9673 K(x,L(y,z,u)) * (x / y) = (x / y) * K(x,L(y,z,u)). [hyper(125,a,9643,a)]. given #8637 (H,wt=19): 9674 (x / y) * K(x,L(y,z,u)) = T(x,L(y,z,u)) / y. [hyper(62,a,7406,a(flip),b,9673,a),flip(a)]. given #8638 (H,wt=23): 9645 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7460(a,2),8985(a,2,1))]. given #8639 (H,wt=23): 9651 T((x \ y) * x,((z \ y) * z) \ u) = T((x \ y) * x,y \ u). [hyper(273,a,4920,a,b,9158,a),flip(a)]. given #8640 (H,wt=19): 9676 x / T((y \ z) * y,z \ x) = ((y \ z) * y) \ x. [para(9651(a,1),236(a,1,2))]. given #8641 (H,wt=23): 9653 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(8224(a,1),9268(a,1,2)),flip(a)]. given #8642 (H,wt=23): 9661 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7501(a,1),9520(a,1,1,2))]. given #8643 (H,wt=23): 9669 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(287,a,9605,a),flip(a)]. given #8644 (H,wt=23): 9672 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(9505,a,9639,a),flip(a)]. given #8645 (H,wt=23): 9675 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(62,a,9583,a(flip),b,9645,a),flip(a)]. given #8646 (H,wt=23): 9678 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8443(a,2),9669(a,1,2,1))]. given #8647 (H,wt=24): 8235 x \ ((x * K(y,z)) * (K(z,y) * u)) = L(u,K(z,y),x * K(y,z)). [para(8218(a,1),18(a,2,1)),flip(a)]. given #8648 (H,wt=24): 8241 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(8218(a,1),94(a,1,1))]. given #8649 (H,wt=24): 8283 (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). [para(8223(a,1),18(a,2,1)),flip(a)]. given #8650 (H,wt=24): 8322 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),x / y). [para(8287(a,1),18(a,2,1)),flip(a)]. given #8651 (H,wt=24): 8372 L(K(x,(y \ 1) \ z),y \ 1,y) = y * (T(z / (y \ 1),x) \ z). [para(8367(a,2),226(a,1,2)),flip(a)]. given #8652 (H,wt=24): 8406 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(809(a,1),8333(a,1,1))]. given #8653 (H,wt=24): 8512 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [hyper(712,a,8503,a)]. given #8654 (H,wt=24): 8574 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1410(a,1),8542(a,1,2))]. given #8655 (H,wt=15): 9682 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8574(a,1),9378(a,1,2))]. given #8656 (H,wt=24): 8616 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8548(a,1),585(a,1,2,1)),flip(a)]. given #8657 (H,wt=24): 8650 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(8570(a,1),6167(a,1,1))]. given #8658 (H,wt=22): 9684 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(273,a,8570,a(flip),b,8650,a),flip(a)]. given #8659 (H,wt=24): 8693 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(8481(a,1),5833(a,1,2,1))]. given #8660 (H,wt=24): 8743 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(8700(a,1),96(a,2,2))]. given #8661 (H,wt=24): 8835 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(7354(a,1),8834(a,1,2))]. given #8662 (H,wt=24): 8848 K(L(R(x,y,z),x \ u,x),T(w,u)) = K(R(u / (u / x),y,z),w). [para(4393(a,1),8556(a,1,1))]. given #8663 (H,wt=24): 8875 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(62,a,8103,a(flip),b,8738,a),flip(a)]. given #8664 (H,wt=24): 8889 (R(x,K(y,z),x) \ y) / T(x \ y,K(y,z)) = K(x,x * K(y,z)). [para(8888(a,2),6058(a,1,2))]. given #8665 (H,wt=24): 8955 K((x * K(y,z)) \ u,T(y,x)) != w | K(u / (x * K(y,z)),y) = w. [para(7907(a,1),8952(a,1,2))]. given #8666 (H,wt=24): 8969 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 * v6 | x / v6 = v5. [para(8966(a,1),284(a,1,2))]. given #8667 (H,wt=24): 9008 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(627,a,9007,a)]. given #8668 (H,wt=24): 9030 x * K(T(x,y),R(z,u,w)) != v5 | T(x,R((y * z) / y,u,w)) = v5. [para(8653(a,1),5167(a,1,2))]. given #8669 (H,wt=24): 9084 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(212,a,9006,a(flip),b,4093,a(flip))]. given #8670 (H,wt=21): 9686 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(9084(a,1),4330(a,1,2))]. given #8671 (H,wt=24): 9123 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(9079(a,1),4576(a,1,1)),flip(a)]. given #8672 (H,wt=24): 9128 (x * (y * T(T(z,y),u))) \ (x * (z * y)) = K(u,L(T(z,y),y,x)). [para(108(a,1),9103(a,1,2,2))]. given #8673 (H,wt=22): 9687 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,L(T(y,u),u,x)). [para(209(a,1),9128(a,1,1,2))]. given #8674 (H,wt=22): 9688 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(L(y,u,x),u)). [para(25(a,1),9687(a,2,2))]. given #8675 (H,wt=24): 9202 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(33,a,8352,a,b,8361,a)]. given #8676 (H,wt=24): 9203 T(x * R(y,z,u),x) != x * w | R(y * K(x * y,x),z,u) = w. [para(8361(a,1),42(a,1))]. given #8677 (H,wt=24): 9250 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(9248(a,1),6860(a,1,1))]. given #8678 (H,wt=19): 9690 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(62,a,6860,a(flip),b,9250,a),flip(a)]. given #8679 (H,wt=21): 9691 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5489(a,1),9690(a,1,1,2,1)),flip(a)]. given #8680 (H,wt=24): 9337 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(256(a,1),9332(a,1,2,2)),flip(a)]. given #8681 (H,wt=24): 9366 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(33,a,8352,a,b,9201,a)]. given #8682 (H,wt=24): 9367 T(x * L(y,z,u),x) != x * w | L(y * K(y * x,x),z,u) = w. [para(9201(a,1),42(a,1))]. given #8683 (H,wt=24): 9453 K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. [para(7520(a,1),9406(a,1))]. given #8684 (H,wt=24): 9456 K(T(x,y),(y * K(z,x)) \ u) != w | K(x,u / (y * K(z,x))) = w. [para(8248(a,1),9416(a,1,1))]. given #8685 (H,wt=24): 9466 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7462(a,1),9409(a,1))]. given #8686 (H,wt=24): 9467 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(T(x,y),z,u)) = v5. [para(8546(a,1),9409(a,1))]. given #8687 (H,wt=24): 9538 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(9382(a,1),5426(a,1,2))]. given #8688 (H,wt=24): 9549 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7465(a,1),8605(a,1,1))]. given #8689 (H,wt=24): 9574 (x / T(y,z)) * K(y,u) != w | (x / y) * (K(y,u) * K(z,y)) = w. [para(8230(a,1),9505(a,1,1))]. given #8690 (H,wt=24): 9618 T(x * K(y,T(x,z)),u) / T(x,u) != w | K(y,T(T(x,u),z)) = w. [para(8657(a,1),9421(a,1))]. given #8691 (H,wt=24): 9628 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1212(a,1),9627(a,1,1)),flip(a)]. given #8692 (H,wt=22): 9695 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(9082(a,1),9628(a,1,2))]. given #8693 (H,wt=24): 9683 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7460(a,2),8616(a,1,1))]. given #8694 (H,wt=24): 9685 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(115,a,8693,a(flip),b,6227,a(flip))]. given #8695 (H,wt=24): 9689 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(5626(a,2),9202(a,2,1,2))]. given #8696 (H,wt=24): 9694 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(23(a,1),9549(a,1,1,2))]. given #8697 (H,wt=24): 9698 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [hyper(273,a,6323,a(flip),b,9694,a),flip(a)]. given #8698 (H,wt=24): 9699 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7475(a,1),9698(a,1,1))]. given #8699 (H,wt=25): 8259 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(8224(a,1),2047(a,1,1,2))]. given #8700 (H,wt=25): 8279 (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). [para(7178(a,1),8226(a,1,1,2))]. given #8701 (H,wt=21): 9702 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [hyper(8240,a,8279,a),flip(a)]. given #8702 (H,wt=25): 8404 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(8395(a,2),7144(a,1,2,1))]. given #8703 (H,wt=25): 8435 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(83(a,1),8413(a,1,2,2))]. given #8704 (H,wt=25): 8469 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8443(a,2),5953(a,1,1))]. given #8705 (H,wt=25): 8489 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6223(a,1),8458(a,1,2)),flip(a)]. given #8706 (H,wt=23): 9704 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8489(a,1),8469(a,1,1))]. given #8707 (H,wt=25): 8585 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). [para(8542(a,1),5734(a,1,1,1,2))]. given #8708 (H,wt=21): 9707 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). [hyper(9413,a,8585,a(flip)),flip(a)]. given #8709 (H,wt=21): 9708 K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). [hyper(129,a,9707,a)]. given #8710 (H,wt=21): 9709 K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). [para(23(a,1),9708(a,1,2))]. given #8711 (H,wt=22): 9710 T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). [hyper(62,a,5492,a(flip),b,9709,a),flip(a)]. given #8712 (H,wt=18): 9711 T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). [hyper(135,a,9710,a),flip(a)]. given #8713 (H,wt=16): 9713 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [para(7918(a,1),9711(a,1,1)),flip(a)]. given #8714 (H,wt=11): 9714 L(x,y,T(x,z)) = L(x,y,x). [hyper(273,a,5642,a(flip),b,9713,a),flip(a)]. given #8715 (H,wt=15): 9718 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(9714(a,1),25(a,2,1))]. given #8716 (H,wt=15): 9721 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(273,a,25,a,b,9718,a),flip(a)]. given #8717 (H,wt=15): 9722 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(4651,a,9721,a),flip(a)]. given #8718 (H,wt=18): 9724 L(T(x,y),T(z,x),x) != u | L(T(x,y),z,x) = u. [para(9721(a,1),4651(a,1))]. given #8719 (H,wt=25): 8651 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(8570(a,1),7413(a,1,2)),flip(a)]. given #8720 (H,wt=23): 9725 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(8570(a,1),8651(a,1,2,2)),flip(a)]. given #8721 (H,wt=25): 8694 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(6269(a,1),8491(a,2,2,1))]. given #8722 (H,wt=25): 8785 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8779(a,1),8026(a,1,2))]. given #8723 (H,wt=25): 8787 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6239(a,1),8782(a,1,2,1)),flip(a)]. given #8724 (H,wt=23): 9726 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(62,a,8783,a(flip),b,8787,a)]. given #8725 (H,wt=21): 9727 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(273,a,4437,a(flip),b,9726,a),flip(a)]. given #8726 (H,wt=17): 9729 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(273,a,4784,a(flip),b,9727,a),flip(a)]. given #8727 (H,wt=25): 8824 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(8595(a,1),8461(a,1,1))]. given #8728 (H,wt=25): 8858 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(8584(a,1),422(a,1,1,2)),flip(a)]. given #8729 (H,wt=25): 8891 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(8815(a,1),8466(a,1,1))]. given #8730 (H,wt=25): 8981 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(8368(a,1),6252(a,1,1,1))]. given #8731 (H,wt=20): 9731 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(116,a,8976,a(flip),b,8981,a(flip))]. given #8732 (H,wt=25): 8982 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(110(a,2),8391(a,1,1))]. given #8733 (H,wt=23): 9732 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(8982(a,1),6132(a,1,1)),flip(a)]. given #8734 (H,wt=23): 9733 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(273,a,5670,a,b,9732,a),flip(a)]. given #8735 (H,wt=23): 9734 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(62,a,5670,a,b,9733,a)]. given #8736 (H,wt=25): 8989 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(8473(a,2),8498(a,1,1))]. given #8737 (H,wt=25): 9012 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(62,a,8872,a,b,8575,a)]. given #8738 (H,wt=21): 9737 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(77(a,1),9012(a,1,1,2)),flip(a)]. given #8739 (H,wt=17): 9738 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(7504(a,1),9737(a,2,1))]. given #8740 (H,wt=17): 9739 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(5783(a,1),9738(a,1,2))]. given #8741 (H,wt=15): 9741 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(62,a,8263,a(flip),b,9739,a)]. given #8742 (H,wt=15): 9742 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(3107(a,2),9741(a,1,2,2))]. given #8743 (H,wt=15): 9743 K(x,K(y,z \ 1) \ z) = T(K(x,z),y). [para(5433(a,2),9741(a,1,2))]. given #8744 (H,wt=17): 9740 K(x,(K(y,z \ 1) / z) \ 1) = T(K(x,z),y). [hyper(6629,a,9739,a)]. given #8745 (H,wt=25): 9028 T(x,T(y \ T(z,y),u)) = K(x,u) * T(x * K(u,x),T(y,z) \ z). [para(4545(a,1),9027(a,2,2)),flip(a)]. given #8746 (H,wt=19): 9744 T(x,T(T(y,z) \ z,u)) = T(x,T(y \ T(z,y),u)). [hyper(273,a,9027,a(flip),b,9028,a)]. given #8747 (H,wt=25): 9087 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6411(a,1),9015(a,1,1,2)),flip(a)]. given #8748 (H,wt=25): 9127 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(9081(a,1),5499(a,1,2))]. given #8749 (H,wt=25): 9132 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [hyper(62,a,267,a,b,9129,a)]. given #8750 (H,wt=25): 9140 (x * (y * K(z,u))) * L(K(u,z),y,x) != w * v5 | (x * y) / v5 = w. [para(9134(a,1),284(a,1,2))]. given #8751 (H,wt=25): 9163 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1196(a,1),8348(a,1,1,2))]. given #8752 (H,wt=25): 9197 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(9170(a,1),5595(a,1,2,2))]. given #8753 (H,wt=22): 9748 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(9197(a,1),5596(a,1))]. given #8754 (H,wt=25): 9368 L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. [para(9201(a,1),7871(a,2,1))]. given #8755 (H,wt=21): 9749 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(8370(a,1),9368(a,1,1))]. given #8756 (H,wt=25): 9393 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9390(a,1),448(a,1,2,1))]. given #8757 (H,wt=25): 9394 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(9390(a,1),449(a,1,2,1))]. given #8758 (H,wt=25): 9488 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(9484(a,1),467(a,1,1))]. given #8759 (H,wt=25): 9501 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(115,a,9500,a(flip),b,937,a),flip(a)]. given #8760 (H,wt=25): 9515 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(9513(a,1),7992(a,2,1))]. given #8761 (H,wt=25): 9551 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. [para(8851(a,1),9413(a,1))]. given #8762 (H,wt=25): 9561 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9153(a,1),43(a,1)),flip(a)]. given #8763 (H,wt=25): 9578 K(L(x,y,z),u \ L(K(x,w),v5,v6)) != v7 | K(L(x,y,z),u \ 1) = v7. [para(7943(a,2),8331(a,1))]. given #8764 (H,wt=25): 9581 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(77(a,1),8349(a,1,1,1,2,1))]. given #8765 (H,wt=23): 9755 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6424(a,1),9581(a,1,1,1)),flip(a)]. given #8766 (H,wt=23): 9756 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(131,a,9755,a(flip))]. given #8767 (H,wt=19): 9759 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(9756(a,1),9165(a,1,2,1)),flip(a)]. given #8768 (H,wt=19): 9760 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(260(a,1),9759(a,1,2,1,1))]. given #8769 (H,wt=23): 9758 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(9756(a,1),8226(a,1,1)),flip(a)]. given #8770 (H,wt=25): 9604 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(9(a,1),9603(a,2,2))]. given #8771 (H,wt=21): 9761 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(9(a,1),9604(a,1,2))]. given #8772 (H,wt=21): 9762 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(62,a,7985,a(flip),b,9761,a)]. given #8773 (H,wt=21): 9763 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [hyper(273,a,8619,a(flip),b,9762,a),flip(a)]. given #8774 (H,wt=24): 9764 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9762(a,2),8623(a,1))]. given #8775 (H,wt=25): 9650 K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). [para(6120(a,2),9090(a,2,2))]. given #8776 (H,wt=23): 9765 T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). [hyper(6615,a,9650,a)]. given #8777 (H,wt=25): 9701 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(8224(a,1),8259(a,2,2))]. given #8778 (H,wt=25): 9703 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(9702(a,1),8756(a,1,2)),flip(a)]. given #8779 (H,wt=25): 9747 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(5058(a,1),9163(a,1,1,2))]. given #8780 (H,wt=25): 9750 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(8218(a,1),9393(a,1,1)),flip(a)]. given #8781 (H,wt=25): 9751 (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). [para(2228(a,2),9394(a,2,2))]. given #8782 (H,wt=25): 9752 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(8218(a,1),9394(a,1,1)),flip(a)]. given #8783 (H,wt=25): 9753 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(9130(a,1),9488(a,1,1))]. given #8784 (H,wt=25): 9754 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(939(a,1),9501(a,1,2))]. given #8785 (H,wt=21): 9770 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(9098(a,1),9754(a,1,2)),flip(a)]. given #8786 (H,wt=25): 9767 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [hyper(131,a,9701,a)]. given #8787 (H,wt=25): 9768 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(116,a,8968,a(flip),b,9750,a)]. given #8788 (H,wt=25): 9769 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(273,a,2232,a(flip),b,9753,a),flip(a)]. given #8789 (H,wt=26): 8219 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(8206(a,1),379(a,1,2,1))]. given #8790 (H,wt=26): 8294 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(8231(a,1),105(a,2,2))]. given #8791 (H,wt=17): 9772 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(62,a,7597,a(flip),b,8294,a),flip(a)]. given #8792 (H,wt=15): 9774 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5163(a,2),9772(a,1,1))]. given #8793 (H,wt=15): 9775 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(171,a,9774,a(flip))]. given #8794 (H,wt=21): 9776 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5357(a,1),9775(a,2,2))]. given #8795 (H,wt=19): 9777 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(110(a,1),9776(a,1,1,1))]. given #8796 (H,wt=19): 9778 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9777(a,1),6924(a,1,1))]. given #8797 (H,wt=21): 9779 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4482(a,2),9778(a,1,1,2))]. given #8798 (H,wt=26): 8335 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6902(a,2),8240(a,1,1))]. given #8799 (H,wt=23): 9780 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(9135(a,1),8335(a,1))]. given #8800 (H,wt=26): 8434 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(7972(a,1),8412(a,1,1)),flip(a)]. given #8801 (H,wt=26): 8625 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(14(a,2),8558(a,1,1)),flip(a)]. given #8802 (H,wt=26): 8631 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(14(a,2),8559(a,1,2,1)),flip(a)]. given #8803 (H,wt=26): 8643 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(62,a,5833,a,b,8570,a)]. given #8804 (H,wt=24): 9783 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(8570(a,1),8643(a,1,2,1,2))]. given #8805 (H,wt=24): 9784 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(27(a,2),9783(a,2,2))]. given #8806 (H,wt=26): 8644 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(62,a,5829,a,b,8570,a)]. given #8807 (H,wt=24): 9785 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8570(a,1),8644(a,1,1,1,2))]. given #8808 (H,wt=24): 9786 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(25(a,2),9785(a,2,2))]. given #8809 (H,wt=26): 8884 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(773(a,1),8776(a,1,1,1))]. given #8810 (H,wt=24): 9788 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [hyper(273,a,8898,a(flip),b,8884,a),flip(a)]. given #8811 (H,wt=26): 9136 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(116,a,9131,a(flip),b,8529,a),flip(a)]. given #8812 (H,wt=22): 9789 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(8407(a,1),9136(a,1,1)),flip(a)]. given #8813 (H,wt=22): 9790 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7460(a,2),9789(a,2,1))]. given #8814 (H,wt=24): 9792 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7505(a,1),9790(a,1,2,2)),flip(a)]. given #8815 (H,wt=23): 9794 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(62,a,9694,a(flip),b,9792,a)]. given #8816 (H,wt=23): 9796 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [hyper(5444,a,9794,a)]. given #8817 (H,wt=23): 9797 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(128,a,9796,a),flip(a)]. given #8818 (H,wt=26): 9188 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(9182(a,1),5119(a,1,1,1)),flip(a)]. given #8819 (H,wt=21): 9798 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(273,a,5119,a(flip),b,9188,a),flip(a)]. given #8820 (H,wt=21): 9799 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(9(a,1),9798(a,1,1,2,1))]. given #8821 (H,wt=26): 9191 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9183(a,1),5164(a,1,2,1))]. given #8822 (H,wt=24): 9800 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9191(a,1),5455(a,1))]. given #8823 (H,wt=26): 9474 K(x,y) * z != u * (K(w,x) * K(x,y)) | T(u * K(w,x),K(x,y)) = z. [para(9392(a,1),213(a,2))]. given #8824 (H,wt=26): 9489 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9484(a,1),505(a,1,1))]. given #8825 (H,wt=26): 9508 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(387,a,9502,a)]. given #8826 (H,wt=17): 9801 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(4167,a,9508,a),flip(a)]. given #8827 (H,wt=26): 9557 R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. [para(7867(a,1),9554(a,1,1))]. given #8828 (H,wt=26): 9577 K(x,y) * z != (K(x,y) * u) * (K(y,x) * w) | (u * K(y,x)) * w = z. [para(8264(a,2),42(a,1)),flip(a)]. given #8829 (H,wt=26): 9696 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9683(a,1),6180(a,1,1)),flip(a)]. given #8830 (H,wt=26): 9700 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9535(a,1),9699(a,1,1,1))]. given #8831 (H,wt=22): 9803 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8535(a,1),9700(a,1,1)),flip(a)]. given #8832 (H,wt=22): 9804 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [hyper(129,a,9803,a)]. given #8833 (H,wt=26): 9706 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9704(a,1),5425(a,1,2))]. given #8834 (H,wt=26): 9782 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(273,a,8441,a(flip),b,8434,a),flip(a)]. given #8835 (H,wt=26): 9787 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7445(a,1),9786(a,1,1,1,2))]. given #8836 (H,wt=19): 9808 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(62,a,9786,a(flip),b,9787,a),flip(a)]. given #8837 (H,wt=19): 9809 K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). [para(10(a,1),9808(a,1,2,1,2)),flip(a)]. given #8838 (H,wt=19): 9811 K(x,T(L(y,z,u),y \ w)) = K(x,L(T(y,w),z,u)). [para(25(a,1),9809(a,1,2))]. given #8839 (H,wt=19): 9812 K(T(x,y \ z),L(y,u,w)) = K(x,L(T(y,z),u,w)). [hyper(7583,a,9811,a)]. given #8840 (H,wt=19): 9813 K(T(x,y \ z),L(y,u,w)) = K(x,T(L(y,u,w),z)). [para(25(a,1),9812(a,2,2))]. given #8841 (H,wt=19): 9814 K(T(x,y \ z),L(y,u,w)) = K(T(x,z),L(y,u,w)). [hyper(273,a,7501,a,b,9813,a),flip(a)]. given #8842 (H,wt=21): 9815 K(T(x,y \ z),L(y,u,w)) = 1 / K(L(y,u,w),T(x,z)). [hyper(273,a,5370,a,b,9814,a),flip(a)]. given #8843 (H,wt=19): 9816 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5390,a,9815,a)]. given #8844 (H,wt=19): 9817 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(62,a,7667,a,b,9816,a)]. given #8845 (H,wt=25): 9818 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9817(a,1),8300(a,1,1,2)),flip(a)]. given #8846 (H,wt=19): 9819 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(273,a,8326,a(flip),b,9818,a),flip(a)]. given #8847 (H,wt=19): 9820 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(25(a,2),9819(a,2,2))]. given #8848 (H,wt=19): 9821 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(4245(a,2),9820(a,1,2,1)),flip(a)]. given #8849 (H,wt=26): 9793 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(8282(a,2),9790(a,1,2,2)),flip(a)]. given #8850 (H,wt=26): 9802 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7501(a,1),9696(a,1,1))]. given #8851 (H,wt=26): 9807 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(9428,a,9782,a)]. given #8852 (H,wt=26): 9810 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(5216(a,1),9808(a,1,2,1))]. given #8853 (H,wt=20): 9823 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(5134(a,1),9810(a,2,2,1))]. given #8854 (H,wt=16): 9824 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(5331(a,1),9823(a,1,2,1))]. given #8855 (H,wt=16): 9825 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4704(a,1),9824(a,1,2,1)),flip(a)]. given #8856 (H,wt=10): 9826 K(x,L(y,z,y)) = K(x,y). [para(4263(a,1),9825(a,1,2)),flip(a)]. given #8857 (H,wt=10): 9827 L(K(x,y),z,y) = K(x,y). [hyper(7119,a,9826,a)]. given #8858 (H,wt=10): 9830 K(L(x,y,z),z) = K(x,z). [hyper(9530,a,9827,a)]. given #8859 (H,wt=12): 9828 T(x,L(y,z,y)) = x * K(x,y). [para(9826(a,1),5163(a,2,2))]. given #8860 (H,wt=10): 9843 T(x,L(y,z,y)) = T(x,y). [hyper(273,a,5163,a,b,9828,a),flip(a)]. given #8861 (H,wt=10): 9851 T(x,R(y,z,y)) = T(x,y). [para(4704(a,1),9843(a,1,2)),flip(a)]. given #8862 (H,wt=12): 9837 T(x * K(y,x),L(y,z,x)) = x. [para(9830(a,1),5134(a,1,1,2))]. given #8863 (H,wt=10): 9860 T(x,L(y,z,x)) = T(x,y). [para(9837(a,1),5209(a,1,1)),flip(a)]. given #8864 (H,wt=12): 9842 T(x,L(y,z,y)) = x / K(y,x). [hyper(273,a,8224,a,b,9828,a),flip(a)]. given #8865 (H,wt=10): 9863 K(L(x,y,x),z) = K(x,z). [hyper(5188,a,9842,a)]. given #8866 (H,wt=10): 9864 L(K(x,y),z,x) = K(x,y). [hyper(7166,a,9863,a)]. given #8867 (H,wt=8): 9873 a(x,y,K(x,z)) = 1. [hyper(52,a,9864,a)]. given #8868 (H,wt=10): 9871 K(x,L(y,z,x)) = K(x,y). [hyper(62,a,9216,a(flip),b,9864,a)]. given #8869 (H,wt=12): 9853 T(x / y,R(y,z,y)) = y \ x. [hyper(273,a,110,a(flip),b,9851,a),flip(a)]. given #8870 (H,wt=13): 9844 T(x,L(y,z,y)) != u | T(x,y) = u. [para(9828(a,2),5167(a,1))]. given #8871 (H,wt=13): 9850 T(x,T(y / z,y)) = T(x,z \ y). [para(4394(a,1),9843(a,1,2))]. given #8872 (H,wt=13): 9855 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4428(a,1),9851(a,1,2))]. given #8873 (H,wt=13): 9857 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(7929(a,1),9851(a,1,2))]. given #8874 (H,wt=13): 9878 K(x,(x \ 1) \ y) = K(x,x * y). [para(456(a,1),9871(a,1,2)),flip(a)]. given #8875 (H,wt=14): 9829 K(x,L(T(y,z),u,y)) = K(x,T(y,z)). [para(9721(a,1),9826(a,1,2))]. given #8876 (H,wt=14): 9858 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(7952(a,1),9851(a,1,2))]. given #8877 (H,wt=14): 9869 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(9721(a,1),9863(a,1,1))]. given #8878 (H,wt=14): 9883 T(x,1 / (1 / y)) != z | T(x,y) = z. [para(1781(a,1),9844(a,1,2))]. given #8879 (H,wt=14): 9887 T(x,T(y,y \ x)) != z | T(x,y) = z. [para(9855(a,2),4350(a,1))]. given #8880 (H,wt=14): 9889 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(7119,a,9829,a)]. given #8881 (H,wt=14): 9890 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(27(a,1),9858(a,1,2))]. given #8882 (H,wt=15): 9831 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6900,a,9827,a)]. given #8883 (H,wt=15): 9832 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(62,a,7116,a(flip),b,9827,a),flip(a)]. given #8884 (H,wt=15): 9833 (x * y) * K(z,x) = x * (y * K(z,x)). [para(9827(a,1),94(a,1,2))]. given #8885 (H,wt=8): 9904 R(x,y,K(z,x)) = x. [hyper(7295,a,9833,a)]. given #8886 (H,wt=10): 9907 R(x,y,K(z,T(x,u))) = x. [hyper(136,a,9904,a(flip))]. given #8887 (H,wt=15): 9845 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(383,a,9843,a),flip(a)]. given #8888 (H,wt=15): 9848 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(9843(a,1),108(a,1,2))]. given #8889 (H,wt=15): 9854 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(9851(a,1),108(a,1,2))]. given #8890 (H,wt=15): 9856 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4708(a,1),9851(a,1,2))]. given #8891 (H,wt=15): 9859 T(x,L(y,z,u)) != u | u * K(y,u) = x. [para(9837(a,1),48(a,1)),flip(a)]. given #8892 (H,wt=15): 9861 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(256(a,1),9860(a,1,2))]. given #8893 (H,wt=15): 9862 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(457(a,1),9860(a,1,2)),flip(a)]. given #8894 (H,wt=15): 9868 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(9863(a,1),5252(a,1,1))]. given #8895 (H,wt=15): 9870 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(9780,a,9864,a)]. given #8896 (H,wt=15): 9872 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(62,a,7132,a(flip),b,9864,a),flip(a)]. given #8897 (H,wt=15): 9874 (x * y) * K(x,z) = x * (y * K(x,z)). [para(9864(a,1),94(a,1,2))]. given #8898 (H,wt=8): 9935 R(x,y,K(x,z)) = x. [hyper(7295,a,9874,a)]. given #8899 (H,wt=10): 9941 R(x,y,K(T(x,z),u)) = x. [hyper(136,a,9935,a(flip))]. given #8900 (H,wt=14): 9943 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(9935(a,1),31(a,1,1)),flip(a)]. given #8901 (H,wt=11): 9953 R(x,y,T(x,z)) = R(x,y,x). [hyper(62,a,8114,a(flip),b,9943,a)]. given #8902 (H,wt=13): 9958 R(x,y,(x \ z) \ z) = R(x,y,x). [para(109(a,1),9953(a,1,3))]. given #8903 (H,wt=15): 9884 T(x,T(x,y) / z) = T(x,z \ T(x,y)). [hyper(7573,a,9850,a)]. given #8904 (H,wt=13): 9962 T(x,T(x,y) / z) = T(x,z \ x). [hyper(273,a,7377,a(flip),b,9884,a),flip(a)]. given #8905 (H,wt=15): 9897 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(62,a,6908,a,b,9831,a)]. given #8906 (H,wt=15): 9899 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(10(a,1),9831(a,1,1,1)),flip(a)]. given #8907 (H,wt=15): 9902 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(273,a,7964,a,b,9832,a),flip(a)]. given #8908 (H,wt=15): 9922 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(7382,a,9862,a)]. given #8909 (H,wt=15): 9923 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(273,a,9183,a,b,9862,a),flip(a)]. given #8910 (H,wt=15): 9924 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(5423,a,9868,a)]. given #8911 (H,wt=15): 9925 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3154,a,9868,a)]. given #8912 (H,wt=15): 9930 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(10(a,1),9870(a,1,2,1)),flip(a)]. given #8913 (H,wt=15): 9934 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(273,a,9195,a,b,9872,a),flip(a)]. given #8914 (H,wt=15): 9964 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(273,a,7842,a(flip),b,9897,a),flip(a)]. given #8915 (H,wt=15): 9968 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(273,a,9183,a,b,9922,a),flip(a)]. given #8916 (H,wt=15): 9973 K(x,(y / x) \ z) = K(x,y \ (z * x)). [hyper(62,a,7381,a,b,9934,a)]. given #8917 (H,wt=15): 9974 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(9(a,1),9934(a,1,2,1)),flip(a)]. given #8918 (H,wt=15): 9975 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(9(a,1),9934(a,1,2)),flip(a)]. given #8919 (H,wt=15): 9979 K((x / y) \ z,y) = K(x \ (z * y),y). [para(12(a,1),9964(a,1,1,1)),flip(a)]. given #8920 (H,wt=16): 9836 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(30(a,1),9830(a,1,1))]. given #8921 (H,wt=16): 9841 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9830(a,1),8579(a,1,1,2)),flip(a)]. given #8922 (H,wt=14): 9984 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(273,a,8579,a(flip),b,9841,a),flip(a)]. given #8923 (H,wt=16): 9865 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(273,a,7642,a,b,9863,a),flip(a)]. given #8924 (H,wt=16): 9877 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(30(a,1),9871(a,1,2))]. given #8925 (H,wt=16): 9986 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(9405,a,9865,a)]. given #8926 (H,wt=16): 9987 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(9865(a,1),9388(a,1))]. given #8927 (H,wt=16): 9988 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(273,a,8865,a,b,9986,a),flip(a)]. given #8928 (H,wt=13): 9989 K(T(x * y,y) / x,z) = K(y,z). [hyper(9404,a,9988,a),flip(a)]. given #8929 (H,wt=15): 9991 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(10(a,1),9989(a,1,1,1,1))]. given #8930 (H,wt=17): 9882 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(9853(a,1),108(a,1,2))]. given #8931 (H,wt=17): 9885 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(8922,a,9855,a),flip(a)]. given #8932 (H,wt=17): 9886 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(62,a,9041,a(flip),b,9855,a),flip(a)]. given #8933 (H,wt=17): 9895 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [hyper(62,a,4063,a(flip),b,9890,a),flip(a)]. given #8934 (H,wt=17): 9896 T(x,T(T(y,y * z),u)) = T(x,T(T(y,z),u)). [para(4375(a,1),9890(a,1,2,1)),flip(a)]. given #8935 (H,wt=17): 9898 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(62,a,6707,a,b,9831,a)]. given #8936 (H,wt=17): 9914 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(9845(a,1),108(a,1,2)),flip(a)]. given #8937 (H,wt=17): 9916 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(110(a,1),9848(a,1,2))]. given #8938 (H,wt=17): 9920 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(108(a,1),9861(a,1,2,1)),flip(a)]. given #8939 (H,wt=15): 10000 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(7380,a,9920,a),flip(a)]. given #8940 (H,wt=17): 9926 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [hyper(115,a,9868,a(flip),b,5509,a)]. given #8941 (H,wt=17): 9928 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9868(a,1),9671(a,1,2)),flip(a)]. given #8942 (H,wt=17): 9929 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(7664,a,9870,a)]. given #8943 (H,wt=17): 9936 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(273,a,5497,a,b,9874,a)]. given #8944 (H,wt=15): 10006 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(212,a,6424,a,b,9936,a)]. given #8945 (H,wt=13): 10010 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(199(a,1),10006(a,1,1)),flip(a)]. given #8946 (H,wt=13): 10011 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(8515,a,10010,a)]. given #8947 (H,wt=13): 10014 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(10010(a,1),8439(a,1,2))]. given #8948 (H,wt=13): 10017 T(T(x,K(y,z)),z) = T(x,T(z,y)). [hyper(424,a,10011,a)]. given #8949 (H,wt=13): 10019 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(10011(a,1),7503(a,1,1))]. given #8950 (H,wt=15): 10007 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(212,a,9936,a(flip),b,5178,a)]. given #8951 (H,wt=15): 10008 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(62,a,5569,a(flip),b,10006,a)]. given #8952 (H,wt=15): 10009 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(10(a,1),10006(a,1,1,1))]. given #8953 (H,wt=15): 10012 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(273,a,8919,a,b,10010,a),flip(a)]. given #8954 (H,wt=15): 10013 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(273,a,7482,a,b,10010,a),flip(a)]. given #8955 (H,wt=15): 10018 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(10011(a,1),209(a,1,2)),flip(a)]. given #8956 (H,wt=15): 10021 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(110(a,1),10014(a,1,2,2)),flip(a)]. given #8957 (H,wt=13): 10030 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(62,a,9064,a(flip),b,10021,a),flip(a)]. given #8958 (H,wt=15): 10025 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(62,a,6638,a(flip),b,10009,a),flip(a)]. given #8959 (H,wt=15): 10033 T(x \ y,K(z,x)) = x \ T(y,K(x,z)). [hyper(8515,a,10025,a)]. given #8960 (H,wt=15): 10034 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(7507(a,1),10033(a,2,2))]. given #8961 (H,wt=16): 10027 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(10012(a,2),8920(a,1))]. given #8962 (H,wt=17): 9939 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(9874(a,1),6411(a,1,1))]. given #8963 (H,wt=17): 9957 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(110(a,1),9953(a,1,3)),flip(a)]. given #8964 (H,wt=17): 9996 T(x,T(T(y,z),u * y)) = T(x,T(T(y,u),z)). [para(4311(a,1),9896(a,1,2))]. given #8965 (H,wt=17): 9997 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6768,a,9898,a)]. given #8966 (H,wt=17): 10015 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(10010(a,1),8511(a,1,1))]. given #8967 (H,wt=17): 10022 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(8711(a,1),10017(a,1,1))]. given #8968 (H,wt=17): 10023 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8997(a,1),10017(a,1,1))]. given #8969 (H,wt=17): 10031 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(110(a,1),10030(a,1,2)),flip(a)]. given #8970 (H,wt=17): 10032 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6677(a,1),10030(a,1,2))]. given #8971 (H,wt=15): 10042 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(8920,a,10032,a)]. given #8972 (H,wt=17): 10035 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(10034(a,1),10017(a,1,1)),flip(a)]. given #8973 (H,wt=17): 10038 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(62,a,5927,a(flip),b,9997,a),flip(a)]. given #8974 (H,wt=17): 10040 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(62,a,4397,a,b,10023,a)]. given #8975 (H,wt=17): 10041 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(273,a,9862,a(flip),b,10031,a),flip(a)]. given #8976 (H,wt=17): 10047 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(7928,a,10038,a),flip(a)]. given #8977 (H,wt=18): 9835 K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u. [para(9827(a,1),6900(a,1))]. given #8978 (H,wt=18): 9881 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9871(a,1),7107(a,1,1)),flip(a)]. given #8979 (H,wt=16): 10050 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(273,a,7107,a(flip),b,9881,a),flip(a)]. given #8980 (H,wt=18): 9966 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(9897(a,2),7928(a,1))]. given #8981 (H,wt=18): 9967 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(9899(a,1),7928(a,1))]. given #8982 (H,wt=18): 9970 K(x,y) * L(x,z,x) != u | L(T(x,y),z,x) = u. [para(9924(a,1),5437(a,1,2))]. given #8983 (H,wt=18): 10001 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(96(a,2),10000(a,1,2))]. given #8984 (H,wt=18): 10016 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(10010(a,2),8931(a,1))]. given #8985 (H,wt=18): 10043 T(x * y,T(z,x)) != u | T(x * y,T(z,y)) = u. [para(10032(a,1),8920(a,1))]. given #8986 (H,wt=18): 10053 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7963(a,1),9966(a,1))]. given #8987 (H,wt=18): 10054 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6908(a,1),10053(a,1))]. given #8988 (H,wt=19): 9879 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(685(a,1),9871(a,1,2)),flip(a)]. given #8989 (H,wt=17): 10057 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(62,a,8546,a(flip),b,9879,a),flip(a)]. given #8990 (H,wt=19): 9888 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(383,a,9857,a),flip(a)]. given #8991 (H,wt=19): 9893 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(62,a,7116,a(flip),b,9889,a),flip(a)]. given #8992 (H,wt=17): 10059 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(8834,a,9893,a),flip(a)]. given #8993 (H,wt=15): 10061 K((x * y) / z,x) = K(y / (x \ z),x). [hyper(8833,a,10059,a)]. given #8994 (H,wt=19): 9894 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(9889(a,1),94(a,1,2))]. given #8995 (H,wt=19): 9901 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(9831(a,1),6509(a,1,2))]. given #8996 (H,wt=19): 9908 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9904(a,1),474(a,1,1,1)),flip(a)]. given #8997 (H,wt=12): 10066 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(450,a,9908,a)]. given #8998 (H,wt=12): 10068 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(9530,a,10066,a)]. given #8999 (H,wt=19): 9921 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(9861(a,1),7593(a,1,2))]. given #9000 (H,wt=17): 10073 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(62,a,9189,a(flip),b,9921,a)]. given #9001 (H,wt=17): 10074 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(273,a,6220,a,b,10073,a),flip(a)]. given #9002 (H,wt=17): 10075 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(62,a,6220,a,b,10074,a)]. given #9003 (H,wt=17): 10076 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(9(a,1),10075(a,1,2,2)),flip(a)]. given #9004 (H,wt=19): 9927 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(115,a,9868,a(flip),b,5507,a),flip(a)]. given #9005 (H,wt=19): 9932 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9870(a,1),6645(a,2,2))]. given #9006 (H,wt=17): 10079 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(114,a,9932,a(flip),b,4940,a(flip)),flip(a)]. given #9007 (H,wt=19): 9944 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(9935(a,1),474(a,1,1,1)),flip(a)]. given #9008 (H,wt=12): 10081 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(450,a,9944,a)]. given #9009 (H,wt=19): 9954 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(9943(a,1),392(a,1,1)),flip(a)]. given #9010 (H,wt=19): 9978 K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). [para(10(a,1),9964(a,1,1,1))]. given #9011 (H,wt=19): 9983 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(62,a,9242,a(flip),b,9974,a)]. given #9012 (H,wt=17): 10085 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(7657,a,9983,a),flip(a)]. given #9013 (H,wt=19): 9985 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(457(a,1),9984(a,1,2,2)),flip(a)]. given #9014 (H,wt=19): 9995 T(x,y) \ ((x * y) / R(x,z,x)) = R(x,z,x) \ y. [hyper(62,a,1641,a,b,9895,a)]. given #9015 (H,wt=19): 10002 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(62,a,7442,a,b,9928,a)]. given #9016 (H,wt=19): 10003 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9928(a,1),8096(a,1,1))]. given #9017 (H,wt=19): 10020 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(10011(a,1),8826(a,2,1))]. given #9018 (H,wt=19): 10024 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(27(a,2),10019(a,1,1))]. given #9019 (H,wt=19): 10029 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(10008(a,2),10018(a,1,1))]. given #9020 (H,wt=19): 10062 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(273,a,4944,a,b,9901,a)]. given #9021 (H,wt=19): 10065 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(9901(a,1),8226(a,1,1))]. given #9022 (H,wt=15): 10094 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(8336,a,10065,a)]. given #9023 (H,wt=18): 10096 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(7171,a,10094,a)]. given #9024 (H,wt=18): 10097 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(96(a,2),10094(a,1,2))]. given #9025 (H,wt=19): 10067 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(62,a,7839,a(flip),b,9908,a),flip(a)]. given #9026 (H,wt=19): 10069 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(6900,a,10066,a)]. given #9027 (H,wt=17): 10102 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(273,a,7968,a(flip),b,10069,a),flip(a)]. given #9028 (H,wt=19): 10078 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(62,a,4940,a(flip),b,9932,a),flip(a)]. given #9029 (H,wt=19): 10082 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(9780,a,10081,a)]. given #9030 (H,wt=19): 10083 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(122,a,9954,a)]. given #9031 (H,wt=19): 10088 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [hyper(131,a,9995,a)]. given #9032 (H,wt=19): 10091 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(27(a,2),10024(a,2,1))]. given #9033 (H,wt=19): 10092 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(34,a,5212,a,b,10029,a)]. given #9034 (H,wt=19): 10101 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(8282(a,2),10067(a,1,2))]. given #9035 (H,wt=20): 10052 K(x * (y \ 1),y \ 1) != z | K(y \ x,y \ 1) = z. [para(153(a,1),9966(a,1,1))]. given #9036 (H,wt=20): 10056 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5843(a,2),10054(a,1))]. given #9037 (H,wt=20): 10060 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9893(a,1),8834(a,1))]. given #9038 (H,wt=18): 10108 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(8601(a,1),10060(a,1))]. given #9039 (H,wt=20): 10095 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(7172,a,10094,a)]. given #9040 (H,wt=20): 10098 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(207(a,1),10094(a,1,2)),flip(a)]. given #9041 (H,wt=18): 10109 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(273,a,5356,a(flip),b,10098,a),flip(a)]. given #9042 (H,wt=20): 10099 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(273,a,9930,a(flip),b,10096,a),flip(a)]. given #9043 (H,wt=21): 9840 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6377(a,1),9830(a,1,1))]. given #9044 (H,wt=17): 10111 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(62,a,6915,a(flip),b,9840,a)]. given #9045 (H,wt=13): 10112 K(K(x \ y,x) * z,y) = K(z,y). [hyper(9395,a,10111,a),flip(a)]. given #9046 (H,wt=21): 9852 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(9843(a,1),8388(a,1,2,1))]. given #9047 (H,wt=21): 9880 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(6377(a,1),9871(a,1,2))]. given #9048 (H,wt=21): 9891 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(9869(a,1),5252(a,1,1))]. given #9049 (H,wt=21): 9892 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(62,a,7139,a(flip),b,9889,a)]. given #9050 (H,wt=21): 9945 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(9935(a,1),475(a,1,1,1)),flip(a)]. given #9051 (H,wt=13): 10116 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(450,a,9945,a)]. given #9052 (H,wt=13): 10120 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(9530,a,10116,a)]. given #9053 (H,wt=16): 10121 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(9551,a,10120,a),flip(a)]. given #9054 (H,wt=21): 9946 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(9935(a,1),476(a,1,1,1)),flip(a)]. given #9055 (H,wt=21): 10005 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [hyper(273,a,142,a(flip),b,9936,a),flip(a)]. given #9056 (H,wt=21): 10028 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(6033(a,2),10013(a,2,2))]. given #9057 (H,wt=19): 10125 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(273,a,5163,a,b,10028,a),flip(a)]. given #9058 (H,wt=15): 10126 T(x,1 / T(y,z)) = T(x,T(1 / y,z)). [hyper(10027,a,10125,a),flip(a)]. given #9059 (H,wt=18): 10128 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(10125(a,1),10027(a,1))]. given #9060 (H,wt=19): 10127 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(8515,a,10125,a)]. given #9061 (H,wt=21): 10037 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(8520(a,2),9957(a,1,1))]. given #9062 (H,wt=21): 10045 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(10035(a,1),108(a,1,2))]. given #9063 (H,wt=21): 10048 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(10040(a,1),209(a,1,2))]. given #9064 (H,wt=21): 10049 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(10047(a,1),5201(a,2,2,2))]. given #9065 (H,wt=17): 10131 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(273,a,5201,a,b,10049,a),flip(a)]. given #9066 (H,wt=19): 10132 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(9190,a,10131,a),flip(a)]. given #9067 (H,wt=17): 10133 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(5238,a,10132,a)]. given #9068 (H,wt=17): 10134 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(9(a,1),10133(a,1,2,2)),flip(a)]. given #9069 (H,wt=17): 10135 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(62,a,9195,a,b,10134,a)]. given #9070 (H,wt=21): 10051 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(457(a,1),10050(a,1,2)),flip(a)]. given #9071 (H,wt=21): 10055 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7114(a,2),10053(a,1))]. given #9072 (H,wt=21): 10064 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(9(a,1),9901(a,2,2,1,2))]. given #9073 (H,wt=21): 10077 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(62,a,4941,a(flip),b,9932,a),flip(a)]. given #9074 (H,wt=21): 10090 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(62,a,8824,a(flip),b,10020,a),flip(a)]. given #9075 (H,wt=21): 10093 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(11(a,1),10062(a,1,1,1,2)),flip(a)]. given #9076 (H,wt=19): 10138 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(10093(a,1),9265(a,1,2,2))]. given #9077 (H,wt=19): 10139 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(9(a,1),10138(a,1,2,2,1,1))]. given #9078 (H,wt=19): 10140 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(62,a,9271,a(flip),b,10139,a),flip(a)]. given #9079 (H,wt=21): 10104 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(10102(a,1),8443(a,2,2))]. given #9080 (H,wt=21): 10105 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(10092(a,1),7577(a,1,2))]. given #9081 (H,wt=21): 10110 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(10098(a,2),5463(a,1))]. given #9082 (H,wt=21): 10115 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(10112(a,1),5163(a,2,2)),flip(a)]. given #9083 (H,wt=19): 10145 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6487,a,10115,a),flip(a)]. given #9084 (H,wt=21): 10117 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(9945(a,1),8226(a,1,1))]. given #9085 (H,wt=13): 10147 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(9138,a,10117,a)]. given #9086 (H,wt=13): 10148 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(9530,a,10147,a)]. given #9087 (H,wt=13): 10149 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(62,a,9216,a(flip),b,10147,a)]. given #9088 (H,wt=21): 10123 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(7176,a,9946,a),flip(a)]. given #9089 (H,wt=21): 10124 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(8502(a,1),10005(a,1,2))]. given #9090 (H,wt=19): 10152 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(9001(a,1),10124(a,1,2))]. given #9091 (H,wt=21): 10130 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4931(a,2),10048(a,1,2))]. given #9092 (H,wt=21): 10141 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(10140(a,1),5163(a,2,2)),flip(a)]. given #9093 (H,wt=21): 10143 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(273,a,8443,a(flip),b,10104,a),flip(a)]. given #9094 (H,wt=21): 10144 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(7491(a,1),10105(a,1,2))]. given #9095 (H,wt=21): 10151 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(62,a,8000,a(flip),b,10123,a),flip(a)]. given #9096 (H,wt=22): 9906 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(9833(a,1),9223(a,2,2))]. given #9097 (H,wt=22): 9931 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(226(a,1),9870(a,1,2,1)),flip(a)]. given #9098 (H,wt=22): 9952 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(9941(a,1),477(a,1,1)),flip(a),flip(b)]. given #9099 (H,wt=19): 10157 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(9952,a,7158,a)]. given #9100 (H,wt=17): 10158 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(62,a,8639,a(flip),b,10157,a),flip(a)]. given #9101 (H,wt=15): 10159 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(9416,a,10158,a)]. given #9102 (H,wt=15): 10160 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(6566,a,10159,a),flip(a)]. given #9103 (H,wt=15): 10161 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(62,a,9232,a,b,10159,a)]. given #9104 (H,wt=15): 10162 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(10(a,1),10159(a,1,2,1)),flip(a)]. given #9105 (H,wt=15): 10166 K(x,((x * y) / z) \ x) = K(x,z / y). [para(9(a,1),10160(a,1,2,2)),flip(a)]. given #9106 (H,wt=15): 10168 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8385,a,10162,a)]. given #9107 (H,wt=15): 10169 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(74(a,1),10166(a,1,2,1)),flip(a)]. given #9108 (H,wt=15): 10170 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(11(a,1),10168(a,1,2,2))]. given #9109 (H,wt=17): 10164 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(62,a,10057,a,b,10160,a)]. given #9110 (H,wt=17): 10167 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(62,a,9234,a,b,10161,a)]. given #9111 (H,wt=17): 10172 x * K(x,y / (z * x)) = T(x,(x \ y) / z). [para(10170(a,1),5163(a,2,2)),flip(a)]. given #9112 (H,wt=15): 10175 T(x,(x \ y) / z) = T(x,y / (z * x)). [hyper(5167,a,10172,a),flip(a)]. given #9113 (H,wt=15): 10176 T(x,(x \ y) / z) = T(x,y / (x * z)). [hyper(273,a,9254,a(flip),b,10175,a),flip(a)]. given #9114 (H,wt=15): 10177 T(x,(x * y) / (x * z)) = T(x,y / z). [para(9(a,1),10176(a,1,2,1)),flip(a)]. given #9115 (H,wt=15): 10178 T(x,(x * y) / z) = T(x,y / (x \ z)). [para(10(a,1),10177(a,1,2,2))]. given #9116 (H,wt=15): 10179 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(62,a,9239,a,b,10178,a)]. given #9117 (H,wt=18): 10163 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(10159(a,1),6566(a,1))]. given #9118 (H,wt=19): 10165 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(56,a,10160,a)]. given #9119 (H,wt=15): 10180 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5786,a,10165,a)]. given #9120 (H,wt=15): 10181 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(62,a,10179,a,b,10180,a)]. given #9121 (H,wt=19): 10173 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(10170(a,1),8226(a,1,1,2))]. given #9122 (H,wt=15): 10182 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(8240,a,10173,a),flip(a)]. given #9123 (H,wt=18): 10183 K((x \ y) / z,x) != u | K(y / (z * x),x) = u. [para(10173(a,1),8240(a,1))]. given #9124 (H,wt=22): 9969 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2577(a,1),9922(a,1,2,1)),flip(a)]. given #9125 (H,wt=22): 9971 K(x,y) * L(x,z,x) != u * w | u \ L(T(x,y),z,x) = w. [para(9924(a,1),5440(a,1,2))]. given #9126 (H,wt=22): 10070 (T(x,y) * z) * K(u,x) != w | T(x,y) * (z * K(u,x)) = w. [para(10066(a,1),255(a,1,2))]. given #9127 (H,wt=22): 10084 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. [para(9954(a,1),288(a,1,2))]. given #9128 (H,wt=22): 10153 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(10152(a,2),42(a,1))]. given #9129 (H,wt=22): 10155 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(104(a,1),10151(a,1,2,2)),flip(a)]. given #9130 (H,wt=22): 10184 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(273,a,4862,a(flip),b,9969,a),flip(a)]. given #9131 (H,wt=22): 10185 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(10(a,1),10184(a,1,2,2)),flip(a)]. given #9132 (H,wt=23): 9838 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9830(a,1),5833(a,1,2,1,2)),flip(a)]. given #9133 (H,wt=16): 10186 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(273,a,5833,a(flip),b,9838,a),flip(a)]. given #9134 (H,wt=19): 10187 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(456(a,1),10186(a,1,1)),flip(a)]. given #9135 (H,wt=23): 9839 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(9830(a,1),5835(a,1,1,1,2)),flip(a)]. given #9136 (H,wt=16): 10189 K(R(x,y,z),L(u,w,x)) = K(R(x,y,z),u). [hyper(273,a,5835,a(flip),b,9839,a),flip(a)]. given #9137 (H,wt=23): 9994 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,9646,a(flip),b,9886,a)]. given #9138 (H,wt=21): 10190 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,9284,a(flip),b,9994,a)]. given #9139 (H,wt=21): 10191 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7653,a,10190,a)]. given #9140 (H,wt=19): 10192 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(273,a,9238,a(flip),b,10191,a),flip(a)]. given #9141 (H,wt=23): 10039 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8781(a,1),10015(a,1,1))]. given #9142 (H,wt=21): 10193 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(273,a,5945,a(flip),b,10039,a),flip(a)]. given #9143 (H,wt=23): 10063 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(56,a,9901,a)]. given #9144 (H,wt=23): 10072 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(771(a,1),10068(a,1,1))]. given #9145 (H,wt=21): 10196 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(9401,a,10072,a)]. given #9146 (H,wt=19): 10197 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(62,a,9614,a(flip),b,10196,a),flip(a)]. given #9147 (H,wt=23): 10080 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(10079(a,1),7027(a,2,2))]. given #9148 (H,wt=17): 10198 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(33,a,10078,a,b,10080,a(flip))]. given #9149 (H,wt=21): 10200 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(10198(a,1),8226(a,1,1,2)),flip(a)]. given #9150 (H,wt=17): 10201 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(273,a,8226,a(flip),b,10200,a),flip(a)]. given #9151 (H,wt=17): 10202 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(10(a,1),10201(a,1,1,1)),flip(a)]. given #9152 (H,wt=17): 10203 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(9835,a,10202,a)]. given #9153 (H,wt=21): 10204 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(10202(a,1),5201(a,2,2,2)),flip(a)]. given #9154 (H,wt=17): 10206 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5288,a,10204,a),flip(a)]. given #9155 (H,wt=17): 10207 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(62,a,9861,a,b,10206,a)]. given #9156 (H,wt=22): 10205 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(7090,a,10203,a)]. given #9157 (H,wt=22): 10208 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(62,a,9599,a,b,10207,a)]. given #9158 (H,wt=23): 10129 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5857(a,1),10127(a,1,2))]. given #9159 (H,wt=21): 10209 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(8820,a,10129,a)]. given #9160 (H,wt=21): 10210 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(110(a,1),10129(a,2,2,2))]. given #9161 (H,wt=19): 10211 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(62,a,8813,a(flip),b,10210,a)]. given #9162 (H,wt=17): 10212 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(62,a,10209,a(flip),b,10211,a)]. given #9163 (H,wt=17): 10213 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(10128,a,10212,a)]. given #9164 (H,wt=17): 10214 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(74(a,1),10213(a,1,2,1,2)),flip(a)]. given #9165 (H,wt=17): 10215 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(62,a,8901,a(flip),b,10214,a),flip(a)]. given #9166 (H,wt=19): 10216 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(62,a,8887,a,b,10215,a)]. given #9167 (H,wt=23): 10146 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5397(a,1),10145(a,2,1))]. given #9168 (H,wt=19): 10217 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5397(a,1),10146(a,1,1,1))]. given #9169 (H,wt=19): 10218 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6366,a,10217,a),flip(a)]. given #9170 (H,wt=23): 10171 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(642(a,1),10169(a,1,2,1,2))]. given #9171 (H,wt=23): 10174 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(10164(a,2),7476(a,2,1)),flip(a)]. given #9172 (H,wt=23): 10188 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(62,a,5681,a(flip),b,10187,a),flip(a)]. given #9173 (H,wt=23): 10194 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(115,a,10193,a(flip),b,5137,a)]. given #9174 (H,wt=21): 10221 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(273,a,9644,a(flip),b,10194,a),flip(a)]. given #9175 (H,wt=24): 9933 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(9870(a,1),7131(a,1,1))]. given #9176 (H,wt=24): 9976 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9934(a,1),7131(a,1,1))]. given #9177 (H,wt=24): 9981 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(9973(a,1),7131(a,1,1))]. given #9178 (H,wt=24): 10036 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(9939(a,1),6428(a,1,2))]. given #9179 (H,wt=15): 10224 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(636,a,10036,a),flip(a)]. given #9180 (H,wt=24): 10046 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(10035(a,1),252(a,1,2))]. given #9181 (H,wt=24): 10118 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(9945(a,1),8240(a,1,1))]. given #9182 (H,wt=24): 10137 T(x,T(y,z)) * K(z \ y,z) != K(z \ y,z) * u | T(x,y) = u. [para(10090(a,2),42(a,1))]. given #9183 (H,wt=25): 9913 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9907(a,1),475(a,1,1,1)),flip(a)]. given #9184 (H,wt=17): 10225 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(450,a,9913,a)]. given #9185 (H,wt=25): 9919 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5989,a,9856,a),flip(a)]. given #9186 (H,wt=21): 10226 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6606(a,1),9919(a,1,1))]. given #9187 (H,wt=25): 9940 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(9874(a,2),9087(a,1,1,2))]. given #9188 (H,wt=21): 10227 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(62,a,8736,a(flip),b,9940,a),flip(a)]. given #9189 (H,wt=19): 10229 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(62,a,9607,a(flip),b,10227,a),flip(a)]. given #9190 (H,wt=17): 10230 K((x * T(y,z)) / u,y) = K(x / (y \ u),y). [hyper(10060,a,10229,a),flip(a)]. given #9191 (H,wt=20): 10232 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(10229(a,1),10060(a,1))]. given #9192 (H,wt=25): 9992 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(9991(a,1),7672(a,1,1)),flip(a)]. given #9193 (H,wt=23): 10233 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(273,a,7588,a(flip),b,9992,a),flip(a)]. given #9194 (H,wt=17): 10234 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(4084(a,1),10233(a,1,1)),flip(a)]. given #9195 (H,wt=21): 10235 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(7810,a,10234,a)]. given #9196 (H,wt=25): 9993 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9882(a,1),6370(a,2,2))]. given #9197 (H,wt=23): 10236 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5518(a,1),9993(a,1,2)),flip(a)]. given #9198 (H,wt=25): 10026 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(10009(a,1),8692(a,2,2))]. given #9199 (H,wt=25): 10044 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(188(a,1),10042(a,1,2)),flip(a)]. given #9200 (H,wt=20): 10238 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(62,a,8789,a(flip),b,10044,a),flip(a)]. given #9201 (H,wt=25): 10071 (T(x,y) * z) * L(K(u,x),w,v5) = T(x,y) * (z * L(K(u,x),w,v5)). [para(10066(a,1),449(a,1,2,1))]. given #9202 (H,wt=25): 10106 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1382(a,1),10101(a,1,2)),flip(a)]. given #9203 (H,wt=25): 10107 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1952(a,1),10101(a,1,2)),flip(a)]. given #9204 (H,wt=23): 10241 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(273,a,4260,a(flip),b,10107,a),flip(a)]. given #9205 (H,wt=25): 10119 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(9945(a,1),8506(a,1,2))]. given #9206 (H,wt=25): 10142 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(10140(a,1),5595(a,1,2,2))]. given #9207 (H,wt=19): 10243 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5596,a,10142,a),flip(a)]. given #9208 (H,wt=17): 10244 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(10056,a,10243,a),flip(a)]. given #9209 (H,wt=17): 10245 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(62,a,9247,a,b,10244,a)]. given #9210 (H,wt=17): 10246 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(10(a,1),10244(a,1,1,2,2))]. given #9211 (H,wt=17): 10247 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(12(a,1),10245(a,1,1,2,1)),flip(a)]. given #9212 (H,wt=25): 10154 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(4222(a,2),10152(a,2,2,1))]. given #9213 (H,wt=15): 10248 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(10153,a,10154,a),flip(a)]. given #9214 (H,wt=23): 10249 T(x / T(y,x),z) * T(y,T(x,z)) = x * K(T(x,y) / y,z). [para(10010(a,1),10154(a,1,2))]. given #9215 (H,wt=25): 10195 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(5056(a,1),10063(a,2,1)),flip(a)]. given #9216 (H,wt=21): 10251 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(62,a,5059,a(flip),b,10195,a),flip(a)]. given #9217 (H,wt=19): 10252 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(10038(a,1),10251(a,1,1,2))]. given #9218 (H,wt=25): 10237 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5359(a,1),10026(a,1,1,2))]. given #9219 (H,wt=23): 10253 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(8869(a,1),10237(a,1,1))]. given #9220 (H,wt=26): 9822 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7514(a,1),9802(a,1,1))]. given #9221 (H,wt=25): 10254 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(62,a,9683,a(flip),b,9822,a),flip(a)]. given #9222 (H,wt=25): 10255 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9758(a,2),10254(a,1,1))]. given #9223 (H,wt=26): 9980 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9968(a,1),5119(a,1,1,1))]. given #9224 (H,wt=21): 10257 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5450,a,9980,a),flip(a)]. given #9225 (H,wt=24): 10258 K((x / y) \ z,L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. [para(9980(a,1),5450(a,1))]. given #9226 (H,wt=26): 9999 (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). [para(4704(a,1),9916(a,1,1)),flip(a)]. given #9227 (H,wt=17): 10259 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(4704(a,1),9999(a,1,2))]. given #9228 (H,wt=17): 10260 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [hyper(128,a,10259,a)]. given #9229 (H,wt=21): 10261 T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). [para(10259(a,1),4300(a,1,2)),flip(a)]. given #9230 (H,wt=21): 10262 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(1065(a,1),10260(a,1,1,2))]. given #9231 (H,wt=23): 10263 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [hyper(273,a,10088,a,b,10262,a),flip(a)]. given #9232 (H,wt=14): 10264 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(4110,a,10263,a)]. given #9233 (H,wt=14): 10265 T(x,x * (y / R(x,z,x))) = T(x,y). [hyper(62,a,10261,a,b,10264,a)]. given #9234 (H,wt=14): 10267 T(x,y * R(x,z,x)) = T(x,x * y). [para(11(a,1),10265(a,1,2,2)),flip(a)]. given #9235 (H,wt=16): 10268 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(273,a,5163,a(flip),b,10267,a),flip(a)]. given #9236 (H,wt=14): 10269 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5238,a,10268,a)]. given #9237 (H,wt=14): 10270 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(62,a,7891,a,b,10269,a)]. given #9238 (H,wt=17): 10271 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(62,a,7431,a,b,10270,a)]. given #9239 (H,wt=26): 10058 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(10057(a,2),7566(a,1,1))]. given #9240 (H,wt=19): 10272 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(10058,a,10174,a)]. given #9241 (H,wt=21): 10273 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(10272(a,1),5163(a,2,2)),flip(a)]. given #9242 (H,wt=19): 10274 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5167,a,10273,a),flip(a)]. given #9243 (H,wt=17): 10276 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(62,a,10041,a(flip),b,10274,a),flip(a)]. given #9244 (H,wt=17): 10277 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(74(a,1),10276(a,1,2,1,1)),flip(a)]. given #9245 (H,wt=22): 10275 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10273(a,1),5167(a,1))]. given #9246 (H,wt=26): 10199 (x * y) * (z * (((x * y) \ x) / z)) != x * u | K(z,y \ (z \ 1)) = u. [para(10080(a,2),42(a,1))]. given #9247 (H,wt=26): 10256 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(10255(a,1),5392(a,1))]. given #9248 (H,wt=27): 8188 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(8184(a,1),5382(a,1,2,1))]. given #9249 (H,wt=27): 8298 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(8234(a,1),6610(a,1,1)),flip(a)]. given #9250 (H,wt=25): 10279 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8611(a,1),8298(a,1,1,2))]. given #9251 (H,wt=27): 8323 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) != u | L(z,K(x,y),x / y) = u. [para(8287(a,1),453(a,1,1))]. given #9252 (H,wt=27): 8351 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(8023(a,2),8275(a,1,1))]. given #9253 (H,wt=19): 10280 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(10(a,1),8351(a,1,1,1)),flip(a)]. given #9254 (H,wt=17): 10281 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [hyper(273,a,5102,a,b,10280,a),flip(a)]. given #9255 (H,wt=17): 10282 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(8589(a,1),10281(a,1,2))]. given #9256 (H,wt=17): 10283 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(8218(a,1),10282(a,1,2)),flip(a)]. given #9257 (H,wt=27): 8369 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(7840(a,1),8352(a,1,2,2))]. given #9258 (H,wt=27): 8609 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [hyper(62,a,7458,a,b,8546,a)]. given #9259 (H,wt=25): 10285 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [hyper(273,a,5858,a(flip),b,8609,a),flip(a)]. given #9260 (H,wt=21): 10287 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [hyper(273,a,3635,a(flip),b,10285,a),flip(a)]. given #9261 (H,wt=15): 10288 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4190(a,1),10287(a,1,2))]. given #9262 (H,wt=27): 8731 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(8596(a,2),8282(a,2,2,1)),flip(a)]. given #9263 (H,wt=27): 8930 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(8929(a,1),5879(a,1,2,1,2)),flip(a)]. given #9264 (H,wt=25): 10290 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(273,a,5879,a(flip),b,8930,a),flip(a)]. given #9265 (H,wt=27): 8964 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [hyper(300,a,8221,a),flip(a)]. given #9266 (H,wt=27): 9003 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(27(a,2),9000(a,1,2))]. given #9267 (H,wt=27): 9004 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(8762(a,1),8525(a,1,1))]. given #9268 (H,wt=27): 9009 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7907(a,1),8551(a,1,1,1,2))]. given #9269 (H,wt=27): 9036 K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). [hyper(62,a,7462,a(flip),b,8668,a),flip(a)]. given #9270 (H,wt=27): 9112 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(444(a,1),9109(a,2,1))]. given #9271 (H,wt=24): 10291 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(273,a,9836,a(flip),b,9112,a),flip(a)]. given #9272 (H,wt=27): 9116 R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). [para(3176(a,1),8599(a,1,1))]. given #9273 (H,wt=27): 9162 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(809(a,1),8348(a,1,1,2))]. given #9274 (H,wt=25): 10293 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(108(a,1),9162(a,1,1,2,2))]. given #9275 (H,wt=25): 10294 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(5055(a,2),10293(a,1,1))]. given #9276 (H,wt=19): 10295 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,10065,a(flip),b,10294,a),flip(a)]. given #9277 (H,wt=19): 10296 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(12(a,1),10295(a,1,2,1,2)),flip(a)]. given #9278 (H,wt=19): 10298 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(62,a,9170,a(flip),b,10296,a)]. given #9279 (H,wt=17): 10299 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(8(a,1),10298(a,2,2,1))]. given #9280 (H,wt=17): 10301 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(12(a,1),10299(a,1,2,1)),flip(a)]. given #9281 (H,wt=19): 10300 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(9(a,1),10298(a,1,2,1,2)),flip(a)]. given #9282 (H,wt=23): 10297 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(10295(a,1),8226(a,1,1,2))]. given #9283 (H,wt=19): 10304 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(8240,a,10297,a),flip(a)]. given #9284 (H,wt=19): 10305 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(62,a,9108,a(flip),b,10304,a)]. given #9285 (H,wt=23): 10308 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(10305(a,1),5201(a,2,2,2)),flip(a)]. given #9286 (H,wt=19): 10309 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5288,a,10308,a),flip(a)]. given #9287 (H,wt=19): 10310 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(62,a,9177,a,b,10309,a)]. given #9288 (H,wt=24): 10303 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(62,a,9933,a,b,10300,a)]. given #9289 (H,wt=24): 10306 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(62,a,10291,a(flip),b,10305,a),flip(a)]. given #9290 (H,wt=26): 10302 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(10301(a,1),7131(a,1,1))]. given #9291 (H,wt=21): 10312 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,10303,a(flip),b,10302,a),flip(a)]. given #9292 (H,wt=27): 9286 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9285(a,1),7232(a,1,2,2)),flip(a)]. given #9293 (H,wt=25): 10313 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6301(a,1),9286(a,1,2,2)),flip(a)]. given #9294 (H,wt=27): 9293 T(x * K(y,x),T((x * K(y,x)) * z,u)) = T(x * K(y,x),T(x * z,u)). [para(5134(a,1),9292(a,1,2,1,1)),flip(a)]. given #9295 (H,wt=27): 9353 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(9351(a,1),5951(a,2,1,1))]. given #9296 (H,wt=25): 10315 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(9437,a,9353,a)]. given #9297 (H,wt=23): 10317 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(273,a,8775,a(flip),b,10315,a),flip(a)]. given #9298 (H,wt=27): 9369 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5134(a,1),9204(a,2,1))]. given #9299 (H,wt=23): 10319 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5223(a,1),9369(a,1,1,2))]. given #9300 (H,wt=21): 10320 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5199(a,1),10319(a,1,2,2))]. given #9301 (H,wt=27): 9490 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9485(a,1),834(a,1,1)),flip(a)]. given #9302 (H,wt=23): 10321 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(8005(a,1),9490(a,1,2)),flip(a)]. given #9303 (H,wt=27): 9527 K(L(R(x,y,z),x \ u,x),T(w,u)) != v5 | K(R(u / (u / x),y,z),w) = v5. [para(4393(a,1),9411(a,1,1))]. given #9304 (H,wt=27): 9544 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5845(a,1),9537(a,1,2,1,2,2)),flip(a)]. given #9305 (H,wt=17): 10323 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(273,a,9537,a(flip),b,9544,a),flip(a)]. given #9306 (H,wt=17): 10324 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(77(a,1),10323(a,1,2,1,1)),flip(a)]. given #9307 (H,wt=17): 10325 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [hyper(62,a,7682,a(flip),b,10324,a)]. given #9308 (H,wt=27): 9616 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6435(a,2),9615(a,1,2,1))]. given #9309 (H,wt=25): 10326 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4209(a,1),9616(a,1,1))]. given #9310 (H,wt=23): 10327 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(273,a,9267,a(flip),b,10326,a),flip(a)]. given #9311 (H,wt=27): 9679 L(x,K(y,z),u * K(z,y)) != u \ w | (u * K(z,y)) * (K(y,z) * x) = w. [para(8235(a,1),46(a,1))]. given #9312 (H,wt=27): 9735 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(9734(a,1),5208(a,2,2))]. given #9313 (H,wt=27): 9746 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) != w * v5 | (x * u) / v5 = w. [para(7505(a,1),9140(a,1,1,2))]. given #9314 (H,wt=27): 9781 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5388(a,1),9780(a,1,1,2))]. given #9315 (H,wt=27): 9972 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6182(a,1),9925(a,2,1))]. given #9316 (H,wt=23): 10328 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6177(a,1),9972(a,1,2)),flip(a)]. given #9317 (H,wt=23): 10329 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(273,a,3174,a,b,10328,a),flip(a)]. given #9318 (H,wt=27): 9977 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(9934(a,1),9780(a,1,1))]. given #9319 (H,wt=22): 10330 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(9981(a,1),9977(a,1))]. given #9320 (H,wt=27): 9982 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(9973(a,1),9780(a,1,1))]. given #9321 (H,wt=22): 10331 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(9976(a,1),9982(a,1))]. given #9322 (H,wt=27): 10004 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(62,a,8150,a,b,9929,a)]. given #9323 (H,wt=27): 10240 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(273,a,4261,a(flip),b,10106,a),flip(a)]. given #9324 (H,wt=23): 10333 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(9(a,1),10240(a,1,1,2,1))]. given #9325 (H,wt=27): 10242 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(9(a,1),10241(a,1,1,2,1)),flip(a)]. given #9326 (H,wt=23): 10334 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(9(a,1),10242(a,1,1,2,1)),flip(a)]. given #9327 (H,wt=27): 10250 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5569(a,1),10248(a,1,1,1))]. given #9328 (H,wt=25): 10335 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(8782(a,1),10250(a,2,1,2))]. given #9329 (H,wt=27): 10278 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7460(a,2),8188(a,1,1))]. given #9330 (H,wt=27): 10289 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(273,a,7026,a,b,8731,a),flip(a)]. given #9331 (H,wt=23): 10337 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(6084(a,1),10289(a,2,1))]. given #9332 (H,wt=23): 10338 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5626(a,1),10337(a,1,2))]. given #9333 (H,wt=19): 10339 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(10338(a,1),8369(a,1,2)),flip(a)]. given #9334 (H,wt=19): 10340 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(4222(a,2),10339(a,2,2,1))]. given #9335 (H,wt=27): 10332 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7655,a,10004,a)]. given #9336 (H,wt=27): 10336 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7460(a,2),10278(a,1,2,1))]. given #9337 (H,wt=28): 8186 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(8184(a,1),232(a,1,2)),flip(a)]. given #9338 (H,wt=26): 10341 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(8184(a,1),8186(a,1,3)),flip(a)]. given #9339 (H,wt=28): 8297 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(8234(a,1),4391(a,1,1,2))]. given #9340 (H,wt=28): 8393 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(273,a,3171,a,b,8306,a),flip(a)]. given #9341 (H,wt=28): 8449 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(8440(a,1),5584(a,1,2))]. given #9342 (H,wt=28): 8730 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8596(a,1),7728(a,1,2))]. given #9343 (H,wt=28): 8890 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8809(a,2),5442(a,1,1))]. given #9344 (H,wt=24): 10346 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8504(a,1),8890(a,1,1,3))]. given #9345 (H,wt=24): 10347 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5388(a,1),10346(a,2,2))]. given #9346 (H,wt=28): 8892 K(x,K(y,z)) * (K(u,T(y,w)) * x) != v5 | T(K(u,T(y,w)) * x,K(y,z)) = v5. [para(8815(a,1),8467(a,1,1))]. given #9347 (H,wt=28): 9021 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(4680(a,1),8630(a,1,2)),flip(a)]. given #9348 (H,wt=26): 10348 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(5575(a,1),9021(a,1,2)),flip(a)]. given #9349 (H,wt=24): 10349 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(273,a,8580,a(flip),b,10348,a),flip(a)]. given #9350 (H,wt=24): 10350 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(27(a,2),10349(a,2,1))]. given #9351 (H,wt=21): 10351 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(7444,a,10350,a)]. given #9352 (H,wt=19): 10353 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(62,a,10091,a(flip),b,10351,a),flip(a)]. given #9353 (H,wt=19): 10354 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(62,a,9306,a(flip),b,10353,a)]. given #9354 (H,wt=20): 10355 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(62,a,5403,a,b,10354,a)]. given #9355 (H,wt=28): 9142 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(116,a,9139,a(flip),b,8529,a),flip(a)]. given #9356 (H,wt=28): 9198 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9170(a,1),7131(a,1,1))]. given #9357 (H,wt=28): 9262 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(9260(a,1),6192(a,1,1))]. given #9358 (H,wt=22): 10356 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(62,a,9665,a(flip),b,9262,a),flip(a)]. given #9359 (H,wt=17): 10358 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(62,a,9261,a(flip),b,10356,a)]. given #9360 (H,wt=17): 10361 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5387(a,1),10358(a,1,2,2)),flip(a)]. given #9361 (H,wt=21): 10359 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(v5,x) * u,w)). [hyper(273,a,9663,a,b,10358,a)]. given #9362 (H,wt=21): 10362 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(10358(a,1),8226(a,1,1,2)),flip(a)]. given #9363 (H,wt=17): 10365 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(273,a,8226,a(flip),b,10362,a),flip(a)]. given #9364 (H,wt=15): 10366 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(5127(a,1),10365(a,1,1,2)),flip(a)]. given #9365 (H,wt=21): 10364 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(v5,x) * u,w)). [hyper(62,a,9667,a,b,10359,a)]. given #9366 (H,wt=21): 10367 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10365(a,1),5201(a,2,2,2))]. given #9367 (H,wt=17): 10371 T(x,R(y,K(z,x) * u,w)) = T(x,R(y,u,w)). [hyper(273,a,5201,a,b,10367,a),flip(a)]. given #9368 (H,wt=20): 10372 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10367(a,2),5288(a,1))]. given #9369 (H,wt=23): 10370 T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(v5,x) * u,w)). [para(10364(a,1),5163(a,2,2))]. given #9370 (H,wt=21): 10373 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(v5,x) * u,w)). [hyper(273,a,5163,a,b,10370,a),flip(a)]. given #9371 (H,wt=23): 10374 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(v5,x) * u,w)). [para(5518(a,1),10373(a,1,2,1))]. given #9372 (H,wt=19): 10375 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(273,a,10371,a(flip),b,10374,a),flip(a)]. given #9373 (H,wt=19): 10376 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(7599,a,10375,a)]. given #9374 (H,wt=25): 10368 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(10366(a,1),5735(a,1,2,1,2)),flip(a)]. given #9375 (H,wt=19): 10377 K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). [hyper(273,a,5735,a(flip),b,10368,a),flip(a)]. given #9376 (H,wt=28): 9379 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6869(a,1),9376(a,1,2)),flip(a)]. given #9377 (H,wt=28): 9681 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1142(a,1),8406(a,1,1,2))]. given #9378 (H,wt=19): 10379 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(9681,a,9747,a),flip(a)]. given #9379 (H,wt=15): 10380 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(10(a,1),10379(a,2,2,1))]. given #9380 (H,wt=15): 10383 K(x,((y \ x) * y) \ z) = K(x,x \ z). [para(74(a,1),10380(a,1,2,1,2))]. given #9381 (H,wt=17): 10382 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(62,a,9880,a(flip),b,10380,a),flip(a)]. given #9382 (H,wt=13): 10386 K(x,K(y \ x,y) * z) = K(x,z). [para(9(a,1),10382(a,1,2)),flip(a)]. given #9383 (H,wt=13): 10387 K(x,y * K(z \ x,z)) = K(x,y). [hyper(62,a,8220,a(flip),b,10386,a)]. given #9384 (H,wt=13): 10392 K(x,y * K(z,x / z)) = K(x,y). [para(77(a,1),10387(a,1,2,2,1))]. given #9385 (H,wt=15): 10388 K(x * y,K(y,x) * z) = K(x * y,z). [para(9(a,1),10386(a,1,2,1,1))]. given #9386 (H,wt=15): 10389 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(5751(a,1),10386(a,1,2))]. given #9387 (H,wt=15): 10390 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5907(a,1),10386(a,1,2)),flip(a)]. given #9388 (H,wt=15): 10394 K(x,y / (x / (x / z))) = K(x,y / z). [para(6602(a,2),10392(a,1,2))]. given #9389 (H,wt=15): 10396 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(74(a,1),10389(a,1,2,1)),flip(a)]. given #9390 (H,wt=19): 10381 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(74(a,1),10379(a,1,2,1,2)),flip(a)]. given #9391 (H,wt=19): 10397 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(317(a,1),10381(a,1,2,1)),flip(a)]. given #9392 (H,wt=17): 10398 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(8271(a,1),10397(a,1,2,1))]. given #9393 (H,wt=20): 10384 K(x,x \ ((y \ x) * (y * z))) = K(x,L(z,y,y \ x)). [para(18(a,2),10383(a,1,2)),flip(a)]. given #9394 (H,wt=21): 10393 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(8221(a,1),10387(a,1,2)),flip(a)]. given #9395 (H,wt=15): 10399 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(8100(a,1),10393(a,1,2))]. given #9396 (H,wt=15): 10400 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(109(a,1),10399(a,1,2,2))]. given #9397 (H,wt=21): 10395 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(10388(a,1),5134(a,1,1,2))]. given #9398 (H,wt=21): 10402 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(10395(a,1),6415(a,1,2)),flip(a)]. given #9399 (H,wt=28): 9697 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9685(a,1),6181(a,1,1))]. given #9400 (H,wt=26): 10403 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6180(a,1),9697(a,2,2))]. given #9401 (H,wt=19): 10404 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(8007(a,1),10403(a,1,1,1))]. given #9402 (H,wt=19): 10405 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [hyper(176,a,10404,a)]. given #9403 (H,wt=19): 10407 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(62,a,9686,a(flip),b,10405,a)]. given #9404 (H,wt=19): 10408 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(7460(a,2),10405(a,2,1))]. given #9405 (H,wt=19): 10409 (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). [para(6227(a,1),10407(a,1,1))]. given #9406 (H,wt=22): 10410 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(104(a,1),10409(a,1,1))]. given #9407 (H,wt=22): 10411 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7460(a,2),10410(a,2,1))]. given #9408 (H,wt=28): 9705 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9704(a,1),106(a,1,1,1)),flip(a)]. given #9409 (H,wt=24): 10413 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(273,a,145,a(flip),b,9705,a),flip(a)]. given #9410 (H,wt=22): 10414 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(273,a,5157,a,b,10413,a),flip(a)]. given #9411 (H,wt=22): 10416 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(273,a,8440,a,b,10414,a),flip(a)]. given #9412 (H,wt=28): 9736 K(x * T(y,z),T(x,u)) != K(x,K(y,T(u,z))) * w | K(x * T(y,z),x) = w. [para(8989(a,1),42(a,1))]. given #9413 (H,wt=28): 9795 L(K(x,T(T(y,z),u * (K(w,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7637(a,2),9792(a,1,1))]. given #9414 (H,wt=28): 9806 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(9(a,1),9804(a,1,1,1,1))]. given #9415 (H,wt=24): 10418 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(9(a,1),9806(a,2,2,1,1))]. given #9416 (H,wt=24): 10419 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(128,a,10418,a)]. given #9417 (H,wt=26): 10422 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(108(a,2),10419(a,1,2))]. given #9418 (H,wt=27): 10420 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10418(a,1),280(a,1,1))]. given #9419 (H,wt=27): 10424 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(9797(a,2),10420(a,1))]. given #9420 (H,wt=24): 10425 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10424,a,9271,a),flip(a)]. given #9421 (H,wt=20): 10426 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(10(a,1),10425(a,1,2,2,2)),flip(a)]. given #9422 (H,wt=15): 10427 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(20(a,2),10426(a,2,2))]. given #9423 (H,wt=28): 9903 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(9832(a,1),5829(a,1,1,1,2))]. given #9424 (H,wt=21): 10429 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(5832,a,9903,a),flip(a)]. given #9425 (H,wt=24): 10430 K((x \ y) \ z,L(x,u,w)) != v5 | K(y \ (x * z),L(x,u,w)) = v5. [para(9903(a,1),5832(a,1))]. given #9426 (H,wt=28): 9965 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9897(a,1),5829(a,1,1,1,2))]. given #9427 (H,wt=21): 10431 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5832,a,9965,a),flip(a)]. given #9428 (H,wt=24): 10432 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(96(a,2),10431(a,1,1))]. given #9429 (H,wt=28): 10222 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(273,a,3109,a,b,9981,a),flip(a)]. given #9430 (H,wt=28): 10316 (T(x * y,K(z,u)) / y) / x != w | K(z,K((1 / y) / x,(x * y) / u)) = w. [para(9353(a,1),9437(a,1))]. given #9431 (H,wt=28): 10344 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(8295(a,2),8297(a,2,2))]. given #9432 (H,wt=26): 10433 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(273,a,4456,a(flip),b,10344,a),flip(a)]. given #9433 (H,wt=28): 10345 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8705(a,1),8730(a,1,1))]. given #9434 (H,wt=28): 10378 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(9423,a,9379,a)]. given #9435 (H,wt=28): 10423 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(10402(a,2),10422(a,1,1))]. given #9436 (H,wt=22): 10436 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10423(a,1),482(a,1))]. given #9437 (H,wt=17): 10437 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10436,a,10427,a)]. given #9438 (H,wt=24): 10438 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10437(a,1),480(a,1,1))]. given #9439 (H,wt=21): 10439 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(62,a,6197,a(flip),b,10438,a),flip(a)]. given #9440 (H,wt=17): 10440 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5253(a,1),10439(a,2,1))]. given #9441 (H,wt=15): 10441 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(62,a,10402,a(flip),b,10440,a)]. given #9442 (H,wt=10): 10443 L(x,K(y,z),z * y) = x. [hyper(739,a,10441,a)]. given #9443 (H,wt=10): 10449 L(x,K(y \ z,y),z) = x. [para(10(a,1),10443(a,1,3))]. given #9444 (H,wt=10): 10450 L(x,K(y,y \ z),z) = x. [para(5406(a,1),10449(a,1,2))]. given #9445 (H,wt=15): 10447 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(115,a,10,a(flip),b,10441,a),flip(a)]. given #9446 (H,wt=15): 10448 K(x,(y * x) * z) = K(x,(x * y) * z). [para(10441(a,1),7901(a,1,2)),flip(a)]. given #9447 (H,wt=17): 10444 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(524,a,10441,a)]. given #9448 (H,wt=17): 10446 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(115,a,6425,a(flip),b,10441,a)]. given #9449 (H,wt=17): 10451 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(62,a,6377,a(flip),b,10450,a)]. given #9450 (H,wt=17): 10452 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(10447(a,1),5137(a,1,2)),flip(a)]. given #9451 (H,wt=17): 10455 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(10448(a,2),9335(a,1,2))]. given #9452 (H,wt=17): 10457 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(273,a,2226,a,b,10446,a),flip(a)]. given #9453 (H,wt=17): 10462 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(10(a,1),10451(a,1,2)),flip(a)]. given #9454 (H,wt=19): 10464 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(10462(a,1),10444(a,1,2)),flip(a)]. given #9455 (H,wt=20): 10460 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(10446(a,2),2227(a,1))]. given #9456 (H,wt=21): 10454 K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. [para(8443(a,2),10447(a,1,1))]. given #9457 (H,wt=23): 10465 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(10454(a,1),7901(a,1,2,2))]. given #9458 (H,wt=27): 10456 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(115,a,1091,a(flip),b,10444,a),flip(a)]. given #9459 (H,wt=27): 10466 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(62,a,7744,a,b,10456,a)]. given #9460 (H,wt=25): 10467 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(62,a,7740,a(flip),b,10466,a)]. given #9461 (H,wt=28): 10434 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8596(a,1),10345(a,1,1,2,1))]. given #9462 (H,wt=29): 8244 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(8218(a,1),636(a,1,1,2))]. given #9463 (H,wt=21): 10468 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(8244,a,9489,a)]. given #9464 (H,wt=21): 10469 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(273,a,2232,a(flip),b,10468,a),flip(a)]. given #9465 (H,wt=21): 10470 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(8218(a,1),10469(a,1,2)),flip(a)]. given #9466 (H,wt=17): 10471 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(9224(a,1),10470(a,1,2))]. given #9467 (H,wt=17): 10472 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5639,a,10471,a)]. given #9468 (H,wt=17): 10473 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5423,a,10471,a)]. given #9469 (H,wt=17): 10474 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2235,a,10471,a)]. given #9470 (H,wt=17): 10477 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(62,a,6289,a,b,10471,a)]. given #9471 (H,wt=17): 10488 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(33,a,6288,a,b,10474,a)]. given #9472 (H,wt=19): 10479 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(10471(a,1),5137(a,1,2)),flip(a)]. given #9473 (H,wt=19): 10482 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7107(a,1),10471(a,1,2))]. given #9474 (H,wt=19): 10489 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(7121(a,1),10474(a,1,1))]. given #9475 (H,wt=19): 10492 T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). [hyper(62,a,6997,a,b,10479,a)]. given #9476 (H,wt=20): 10478 a(x,y,K(z,u)) != w | L(K(u,z),y,x) * K(z,u) = w. [para(10471(a,1),2235(a,1))]. given #9477 (H,wt=20): 10486 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(10473(a,1),5437(a,1,2))]. given #9478 (H,wt=20): 10490 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(10477(a,1),127(a,1,2)),flip(b)]. given #9479 (H,wt=21): 10481 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10471(a,1),7054(a,1,1)),flip(a)]. given #9480 (H,wt=21): 10496 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6288(a,1),10481(a,1,2)),flip(a)]. given #9481 (H,wt=21): 10497 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(115,a,5387,a(flip),b,10496,a),flip(a)]. given #9482 (H,wt=21): 10498 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. [hyper(62,a,8062,a(flip),b,10497,a)]. given #9483 (H,wt=17): 10499 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(62,a,10481,a(flip),b,10498,a),flip(a)]. given #9484 (H,wt=17): 10500 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(503,a,10499,a)]. given #9485 (H,wt=20): 10501 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(10499(a,1),131(a,1))]. given #9486 (H,wt=20): 10502 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(10499(a,1),331(a,1,2)),flip(b)]. given #9487 (H,wt=22): 10475 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(639,a,10471,a)]. given #9488 (H,wt=22): 10487 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(62,a,9489,a,b,10474,a)]. given #9489 (H,wt=22): 10495 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(7107(a,1),10486(a,1,2))]. given #9490 (H,wt=23): 10480 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(6159(a,1),10471(a,1,2))]. given #9491 (H,wt=24): 10503 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(10475(a,1),9767(a,1,1))]. given #9492 (H,wt=24): 10506 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(10501,a,10503,a)]. given #9493 (H,wt=25): 10483 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(10471(a,1),7947(a,1,2,2,2))]. given #9494 (H,wt=18): 10507 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(273,a,7900,a(flip),b,10483,a),flip(a)]. given #9495 (H,wt=27): 10476 (x * (y / x)) \ ((T(x,y) * (y / x)) * L(K(y,x),z,u)) = a(u,z,K(x,y)). [hyper(62,a,7996,a,b,10471,a)]. given #9496 (H,wt=27): 10493 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10482(a,1),5083(a,2,2))]. given #9497 (H,wt=25): 10510 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(62,a,8389,a(flip),b,10493,a)]. given #9498 (H,wt=25): 10511 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(25(a,2),10510(a,1,2,2))]. given #9499 (H,wt=23): 10512 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(107(a,1),10511(a,1,2,2,1))]. given #9500 (H,wt=27): 10509 (x * (y / x)) \ (T(x,y) * ((y / x) * L(K(y,x),z,u))) = a(u,z,K(x,y)). [para(10071(a,1),10476(a,1,2))]. given #9501 (H,wt=29): 8397 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(8139(a,1),8396(a,1,1,1)),flip(a)]. given #9502 (H,wt=27): 10513 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(273,a,8666,a(flip),b,8397,a),flip(a)]. given #9503 (H,wt=25): 10514 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(273,a,9614,a(flip),b,10513,a),flip(a)]. given #9504 (H,wt=23): 10515 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(62,a,10102,a(flip),b,10514,a)]. given #9505 (H,wt=21): 10517 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(62,a,9017,a(flip),b,10515,a)]. given #9506 (H,wt=17): 10518 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(8957,a,10517,a),flip(a)]. given #9507 (H,wt=17): 10520 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(273,a,10182,a(flip),b,10518,a),flip(a)]. given #9508 (H,wt=17): 10521 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(62,a,10197,a,b,10520,a)]. given #9509 (H,wt=29): 8586 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(8542(a,1),6368(a,1,1))]. given #9510 (H,wt=25): 10523 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8542(a,1),8586(a,1,2,2,1))]. given #9511 (H,wt=29): 8645 K((x * y) / x,T(((x * y) / x) * z,u)) = K(y,T(T(z * ((x * y) / x),u),x)). [hyper(62,a,6728,a(flip),b,8570,a)]. given #9512 (H,wt=27): 10525 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(z * ((y * x) / y),u),y)). [hyper(9401,a,8645,a)]. given #9513 (H,wt=29): 8940 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(27(a,2),8911(a,1,2))]. given #9514 (H,wt=29): 9048 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(8732(a,1),5625(a,1,1,2))]. given #9515 (H,wt=29): 9085 T(R(K(x,y),z,u),w) * w != R(K(x,y),z,u) * v5 | T(w,R(K(x,y),z,u)) = v5. [para(9006(a,2),213(a,2)),flip(a)]. given #9516 (H,wt=29): 9089 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5849(a,1),9088(a,1,2,1)),flip(a)]. given #9517 (H,wt=27): 10528 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(273,a,9088,a(flip),b,9089,a),flip(a)]. given #9518 (H,wt=23): 10530 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(74(a,1),10528(a,1,1,2,1,2,1))]. given #9519 (H,wt=21): 10532 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(62,a,9282,a(flip),b,10530,a)]. given #9520 (H,wt=17): 10533 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(62,a,8726,a(flip),b,10532,a)]. given #9521 (H,wt=29): 9126 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(9081(a,1),18(a,2,2,2)),flip(a)]. given #9522 (H,wt=29): 9343 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4795(a,1),9032(a,1,2)),flip(a)]. given #9523 (H,wt=19): 10534 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(273,a,9032,a(flip),b,9343,a),flip(a)]. given #9524 (H,wt=19): 10535 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(592(a,1),10534(a,1,2,1,1)),flip(a)]. given #9525 (H,wt=23): 10536 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5064(a,1),10535(a,1,2,1)),flip(a)]. given #9526 (H,wt=23): 10537 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7460(a,2),10536(a,2,2))]. given #9527 (H,wt=21): 10538 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(z,K(x,T(y,u))). [hyper(273,a,8876,a(flip),b,10537,a),flip(a)]. given #9528 (H,wt=24): 10539 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(10537(a,2),9469(a,1))]. given #9529 (H,wt=29): 9444 K(K(a(x,y,T(z,y)),y),u) != w | K((x * (z * y)) \ ((x * y) * z),K(y,u)) = w. [para(7972(a,1),9426(a,1,1))]. given #9530 (H,wt=29): 9451 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(14(a,2),9406(a,1,2,1))]. given #9531 (H,wt=29): 9545 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(9228(a,1),9537(a,1,2,1,2,2)),flip(a)]. given #9532 (H,wt=19): 10540 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(273,a,9537,a(flip),b,9545,a),flip(a)]. given #9533 (H,wt=17): 10541 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(62,a,7631,a(flip),b,10540,a),flip(a)]. given #9534 (H,wt=15): 10544 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(62,a,7462,a(flip),b,10541,a),flip(a)]. given #9535 (H,wt=13): 10545 K(x,y \ T(x,z)) = K(x,y \ x). [para(5173(a,2),10544(a,1,2,2))]. given #9536 (H,wt=15): 10551 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8590(a,1),10544(a,1,2,2)),flip(a)]. given #9537 (H,wt=15): 10553 K(x,T(y \ x,z)) = K(x,T(y,z) \ x). [hyper(62,a,7661,a(flip),b,10545,a)]. given #9538 (H,wt=15): 10554 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(10025(a,2),10545(a,1,2))]. given #9539 (H,wt=17): 10546 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(5142(a,1),10544(a,1,2,2)),flip(a)]. given #9540 (H,wt=17): 10547 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5489(a,1),10544(a,1,2,2)),flip(a)]. given #9541 (H,wt=17): 10555 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5886(a,1),10551(a,1,2,2))]. given #9542 (H,wt=17): 10557 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(9408,a,10553,a),flip(a)]. given #9543 (H,wt=17): 10559 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(62,a,10082,a,b,10547,a)]. given #9544 (H,wt=17): 10560 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(77(a,1),10555(a,1,2,2)),flip(a)]. given #9545 (H,wt=19): 10542 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(8590(a,1),10540(a,1,2,1,1)),flip(a)]. given #9546 (H,wt=19): 10549 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6362(a,1),10544(a,1,2,2)),flip(a)]. given #9547 (H,wt=19): 10550 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(10544(a,1),7460(a,2,1))]. given #9548 (H,wt=19): 10552 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(9796(a,1),10544(a,1,2,2))]. given #9549 (H,wt=19): 10556 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6613(a,1),10551(a,1,2,2)),flip(a)]. given #9550 (H,wt=19): 10565 K(x,y \ ((z * x) * u)) = K(x,y \ ((x * z) * u)). [para(10441(a,1),10549(a,1,2,2))]. given #9551 (H,wt=19): 10566 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(273,a,7460,a,b,10550,a),flip(a)]. given #9552 (H,wt=17): 10568 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5173(a,2),10566(a,1,2,1,2))]. given #9553 (H,wt=21): 10563 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(62,a,8964,a(flip),b,10560,a),flip(a)]. given #9554 (H,wt=21): 10569 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7531(a,1),10566(a,1,2,1,2))]. given #9555 (H,wt=19): 10572 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(273,a,10568,a(flip),b,10569,a),flip(a)]. given #9556 (H,wt=21): 10571 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(273,a,7501,a,b,10569,a),flip(a)]. given #9557 (H,wt=22): 10548 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(6321(a,1),10544(a,1,2,2)),flip(a)]. given #9558 (H,wt=23): 10561 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(8206(a,1),10557(a,1,2,1))]. given #9559 (H,wt=17): 10574 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(273,a,10398,a(flip),b,10561,a),flip(a)]. given #9560 (H,wt=17): 10576 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(62,a,7149,a(flip),b,10574,a)]. given #9561 (H,wt=15): 10577 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(5182(a,1),10576(a,1,2,2))]. given #9562 (H,wt=15): 10578 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(74(a,1),10577(a,1,2,2,2))]. given #9563 (H,wt=20): 10579 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ x). [hyper(7141,a,10578,a),flip(a)]. given #9564 (H,wt=23): 10580 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(10578(a,1),7141(a,1))]. given #9565 (H,wt=29): 9642 T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). [para(9641(a,1),4930(a,2,1))]. given #9566 (H,wt=23): 10581 (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). [para(5917(a,2),9642(a,1,1,1)),flip(a)]. given #9567 (H,wt=19): 10582 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(5132(a,1),10581(a,2,1))]. given #9568 (H,wt=29): 9660 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(6259(a,1),9380(a,2,1,1))]. given #9569 (H,wt=23): 10583 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [hyper(62,a,9381,a(flip),b,9660,a),flip(a)]. given #9570 (H,wt=21): 10584 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [hyper(273,a,9055,a(flip),b,10583,a),flip(a)]. given #9571 (H,wt=28): 10585 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(9788(a,1),10584(a,1,1,1)),flip(a)]. given #9572 (H,wt=26): 10586 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(5368(a,1),10585(a,2,1))]. given #9573 (H,wt=26): 10587 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [hyper(273,a,8412,a(flip),b,10586,a),flip(a)]. given #9574 (H,wt=24): 10588 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(273,a,8755,a(flip),b,10587,a),flip(a)]. given #9575 (H,wt=27): 10589 K(x,K(y / (z \ 1),L(u,z \ 1,z))) != w | K(u,K(x,T(z * y,z))) = w. [para(10587(a,2),9435(a,1))]. given #9576 (H,wt=29): 10342 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(10341(a,1),43(a,1))]. given #9577 (H,wt=18): 10590 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9485(a,1),10342(a,1)),flip(a)]. given #9578 (H,wt=29): 10458 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(273,a,9124,a(flip),b,10446,a),flip(a)]. given #9579 (H,wt=27): 10591 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1414(a,1),10458(a,1,2))]. given #9580 (H,wt=17): 10592 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(636,a,10591,a),flip(a)]. given #9581 (H,wt=20): 10593 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(9127,a,10592,a)]. given #9582 (H,wt=22): 10596 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(10593(a,1),9801(a,1,1)),flip(a)]. given #9583 (H,wt=23): 10594 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [para(10592(a,1),5138(a,1,2)),flip(a)]. given #9584 (H,wt=28): 10595 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(210(a,1),10593(a,1,2,1))]. given #9585 (H,wt=26): 10597 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5372(a,1),10595(a,1,1))]. given #9586 (H,wt=24): 10598 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(8918(a,1),10597(a,1,2)),flip(a)]. given #9587 (H,wt=21): 10599 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(273,a,9695,a(flip),b,10598,a),flip(a)]. given #9588 (H,wt=29): 10459 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(273,a,9122,a(flip),b,10446,a),flip(a)]. given #9589 (H,wt=27): 10600 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1417(a,1),10459(a,1,2))]. given #9590 (H,wt=17): 10602 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(636,a,10600,a),flip(a)]. given #9591 (H,wt=17): 10604 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(131,a,10602,a)]. given #9592 (H,wt=19): 10606 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10602(a,1),6859(a,1,1)),flip(a)]. given #9593 (H,wt=20): 10603 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10600(a,1),636(a,1))]. given #9594 (H,wt=20): 10605 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(62,a,9122,a,b,10602,a)]. given #9595 (H,wt=20): 10610 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10605(a,1),7540(a,1,1))]. given #9596 (H,wt=23): 10607 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10602(a,1),7731(a,1,2)),flip(a)]. given #9597 (H,wt=21): 10613 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5612,a,10607,a)]. given #9598 (H,wt=21): 10614 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(5608,a,10607,a)]. given #9599 (H,wt=25): 10612 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(12(a,1),10610(a,1,2,2))]. given #9600 (H,wt=25): 10615 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(62,a,929,a(flip),b,10613,a)]. given #9601 (H,wt=28): 10611 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10605(a,1),8988(a,1,1)),flip(a)]. given #9602 (H,wt=29): 10491 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(7182(a,1),10488(a,1,1))]. given #9603 (H,wt=29): 10608 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(8785(a,2),10602(a,1,2))]. given #9604 (H,wt=25): 10616 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10603,a,10608,a)]. given #9605 (H,wt=21): 10617 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(62,a,7308,a(flip),b,10616,a),flip(a)]. given #9606 (H,wt=17): 10618 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4668,a,10617,a)]. given #9607 (H,wt=29): 10609 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4667(a,1),10606(a,2,1))]. given #9608 (H,wt=27): 10619 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(8785(a,1),10609(a,1,1))]. given #9609 (H,wt=25): 10620 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10618(a,1),10619(a,2,1))]. given #9610 (H,wt=23): 10621 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(62,a,10606,a(flip),b,10620,a)]. given #9611 (H,wt=30): 8617 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(8548(a,1),5429(a,1,1,3)),flip(a)]. given #9612 (H,wt=30): 8703 T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). [para(8507(a,1),8205(a,1,1))]. given #9613 (H,wt=26): 10623 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5418(a,1),8703(a,1,2)),flip(a)]. given #9614 (H,wt=22): 10624 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). [hyper(273,a,4293,a(flip),b,10623,a),flip(a)]. given #9615 (H,wt=30): 8897 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(8873(a,2),7167(a,2,2,1))]. given #9616 (H,wt=30): 9154 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(62,a,8035,a(flip),b,9151,a),flip(a)]. given #9617 (H,wt=26): 10625 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(10542(a,1),9154(a,1,1))]. given #9618 (H,wt=23): 10626 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(62,a,8035,a(flip),b,10625,a),flip(a)]. given #9619 (H,wt=23): 10628 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(62,a,9036,a(flip),b,10626,a),flip(a)]. given #9620 (H,wt=19): 10630 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(62,a,7462,a(flip),b,10628,a),flip(a)]. given #9621 (H,wt=26): 10631 K(x,((y * K(z,x)) * u) \ (y * (u * w))) = K(x,L(w,u,y * K(z,x))). [para(18(a,2),10630(a,1,2)),flip(a)]. given #9622 (H,wt=22): 10632 K(x,L(y,z,u * K(w,x))) = K(x,(u * z) \ (u * (z * y))). [hyper(62,a,9759,a(flip),b,10631,a),flip(a)]. given #9623 (H,wt=17): 10634 K(x,L(y,z,u * K(w,x))) = K(x,L(y,z,u)). [para(18(a,2),10632(a,2,2))]. given #9624 (H,wt=17): 10635 K(x,L(y,z,(x \ u) * x)) = K(x,L(y,z,u)). [para(260(a,1),10634(a,1,2,3))]. given #9625 (H,wt=30): 9199 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(9185(a,1),5119(a,1,1,1))]. given #9626 (H,wt=25): 10636 K(x \ ((y / z) \ u),L(z,w,v5)) = K(x \ ((z \ y) \ u),L(z,w,v5)). [hyper(5450,a,9199,a),flip(a)]. given #9627 (H,wt=28): 10637 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(9199(a,1),5450(a,1))]. given #9628 (H,wt=30): 9307 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(273,a,8849,a(flip),b,8871,a),flip(a)]. given #9629 (H,wt=30): 9497 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(212,a,9475,a,b,576,a)]. given #9630 (H,wt=30): 9680 K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(8283(a,1),7887(a,1,2)),flip(a)]. given #9631 (H,wt=24): 10639 (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). [hyper(5961,a,9680,a),flip(a)]. given #9632 (H,wt=24): 10640 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). [para(10639(a,1),4286(a,1,2))]. given #9633 (H,wt=17): 10641 L(x,K(y,z),y / z) = L(x,K(y,z),z \ y). [hyper(8323,a,10640,a)]. given #9634 (H,wt=20): 10642 L(x,K(y,z),z \ y) != u | L(x,K(y,z),y / z) = u. [para(10640(a,1),8323(a,1))]. given #9635 (H,wt=30): 10311 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(10310(a,1),5119(a,1,1,1))]. given #9636 (H,wt=25): 10643 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [hyper(5450,a,10311,a),flip(a)]. given #9637 (H,wt=30): 10318 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(491(a,2),10317(a,1,2,2))]. given #9638 (H,wt=30): 10622 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7501(a,1),8617(a,2,1,2))]. given #9639 (H,wt=30): 10638 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(27(a,2),9307(a,1,1,2))]. given #9640 (H,wt=30): 10644 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(8502(a,1),10638(a,1,2))]. given #9641 (H,wt=23): 10645 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(3223(a,1),10644(a,1,2))]. given #9642 (H,wt=28): 10647 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10645(a,1),5732(a,1,1,2))]. given #9643 (H,wt=26): 10648 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5571(a,1),10647(a,1,1))]. given #9644 (H,wt=21): 10649 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(62,a,7042,a(flip),b,10648,a),flip(a)]. given #9645 (H,wt=31): 8402 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(273,a,7447,a,b,8383,a),flip(a)]. given #9646 (H,wt=31): 8860 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(8580(a,1),8584(a,1,1,2))]. given #9647 (H,wt=29): 10651 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(9539(a,1),8860(a,1,1))]. given #9648 (H,wt=27): 10652 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(62,a,8858,a(flip),b,10651,a),flip(a)]. given #9649 (H,wt=25): 10653 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(8580(a,1),10652(a,1,1))]. given #9650 (H,wt=25): 10654 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(5135(a,2),10653(a,1,2,1))]. given #9651 (H,wt=29): 10655 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(7489(a,2),10654(a,2,1,2)),flip(a)]. given #9652 (H,wt=27): 10656 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(273,a,5817,a(flip),b,10655,a),flip(a)]. given #9653 (H,wt=25): 10657 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(7632(a,1),10656(a,2,2))]. given #9654 (H,wt=21): 10658 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(7471(a,1),10657(a,1,1,2,2))]. given #9655 (H,wt=19): 10659 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(10144(a,1),10658(a,1,1))]. given #9656 (H,wt=17): 10660 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(6441,a,10659,a),flip(a)]. given #9657 (H,wt=19): 10661 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(62,a,7577,a,b,10660,a)]. given #9658 (H,wt=19): 10662 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(212,a,6411,a,b,10661,a)]. given #9659 (H,wt=25): 10663 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(8545(a,1),10662(a,1,1,2)),flip(a)]. given #9660 (H,wt=19): 10664 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(62,a,10008,a(flip),b,10663,a),flip(a)]. given #9661 (H,wt=17): 10665 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(273,a,8811,a(flip),b,10664,a),flip(a)]. given #9662 (H,wt=15): 10666 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(10665(a,1),5209(a,1,1))]. given #9663 (H,wt=15): 10668 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(8503(a,1),10666(a,1,1)),flip(a)]. given #9664 (H,wt=19): 10667 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(7881(a,1),10666(a,1,1))]. given #9665 (H,wt=29): 10669 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5719(a,1),10668(a,1,1,2))]. given #9666 (H,wt=25): 10670 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(62,a,4861,a(flip),b,10669,a)]. given #9667 (H,wt=19): 10671 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(62,a,10668,a(flip),b,10670,a),flip(a)]. given #9668 (H,wt=31): 8874 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(8727(a,1),5735(a,1,2,1,2)),flip(a)]. given #9669 (H,wt=21): 10672 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(273,a,5735,a(flip),b,8874,a),flip(a)]. given #9670 (H,wt=23): 10673 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(109(a,1),10672(a,1,1,1))]. given #9671 (H,wt=31): 9345 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5567(a,1),9344(a,2,1,2,1))]. given #9672 (H,wt=29): 10674 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(62,a,8582,a(flip),b,9345,a)]. given #9673 (H,wt=27): 10675 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(62,a,9014,a(flip),b,10674,a)]. given #9674 (H,wt=25): 10676 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(62,a,9346,a(flip),b,10675,a),flip(a)]. given #9675 (H,wt=23): 10677 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(273,a,8591,a(flip),b,10676,a),flip(a)]. given #9676 (H,wt=21): 10678 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5892(a,1),10677(a,1,1))]. given #9677 (H,wt=21): 10679 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3210(a,1),10678(a,1,1))]. given #9678 (H,wt=21): 10680 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(273,a,9305,a(flip),b,10679,a),flip(a)]. given #9679 (H,wt=17): 10681 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(9459,a,10680,a)]. given #9680 (H,wt=15): 10683 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(161(a,1),10681(a,1,2)),flip(a)]. given #9681 (H,wt=17): 10682 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(62,a,7647,a,b,10681,a)]. given #9682 (H,wt=17): 10684 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(8779(a,1),10683(a,1,2))]. given #9683 (H,wt=21): 10686 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(10684(a,1),7475(a,2,1))]. given #9684 (H,wt=21): 10687 K(x,T(T(x * T(y,z),u),y)) = K(x,T(x * T(y,z),u)). [hyper(273,a,7460,a,b,10686,a),flip(a)]. given #9685 (H,wt=24): 10688 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(10686(a,2),7653(a,1))]. given #9686 (H,wt=27): 10685 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(62,a,6730,a(flip),b,10684,a)]. given #9687 (H,wt=27): 10689 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(273,a,6724,a,b,10685,a),flip(a)]. given #9688 (H,wt=19): 10690 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(10(a,1),10689(a,2,2))]. given #9689 (H,wt=17): 10691 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(4209(a,1),10690(a,1,2))]. given #9690 (H,wt=31): 9358 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(5871(a,2),9355(a,2,2)),flip(a)]. given #9691 (H,wt=29): 10692 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(9329(a,1),9358(a,2,1))]. given #9692 (H,wt=29): 10693 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(8961(a,2),10692(a,2,2))]. given #9693 (H,wt=21): 10694 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(62,a,6605,a,b,10693,a)]. given #9694 (H,wt=25): 10695 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(5874,a,10694,a)]. given #9695 (H,wt=31): 9998 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(6516,a,9914,a)]. given #9696 (H,wt=29): 10697 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(9721(a,1),9998(a,1,1,1,2)),flip(a)]. given #9697 (H,wt=31): 10314 (K(x,y) / x) * T(x * K(y,x),T(x * z,u)) = K(x,T(T((x * K(y,x)) * z,u),y)). [para(9293(a,1),8655(a,1,2))]. given #9698 (H,wt=23): 10699 K(x,T(T((x * K(y,x)) * z,u),y)) = K(x,T(T(x * z,u),y)). [hyper(9457,a,10314,a),flip(a)]. given #9699 (H,wt=23): 10700 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(x * z,u),y)). [para(5135(a,2),10699(a,1,2,1,1,1))]. given #9700 (H,wt=23): 10701 K(x,T(T(y * ((z * x) / z),u),z)) = K(x,T(T(x * y,u),z)). [hyper(62,a,10525,a(flip),b,10700,a)]. given #9701 (H,wt=31): 10435 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10378(a,1),9423(a,1))]. given #9702 (H,wt=31): 10527 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(161(a,1),8940(a,1,2,1))]. given #9703 (H,wt=31): 10564 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(444(a,1),10549(a,1,2))]. given #9704 (H,wt=26): 10702 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(62,a,7420,a(flip),b,10564,a),flip(a)]. given #9705 (H,wt=22): 10704 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(62,a,9172,a(flip),b,10702,a),flip(a)]. given #9706 (H,wt=17): 10706 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(18(a,2),10704(a,2,2))]. given #9707 (H,wt=17): 10707 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5387(a,1),10706(a,1,2,2)),flip(a)]. given #9708 (H,wt=17): 10709 K(x,L(y,z * K(x,u),w)) = K(x,L(y,z,w)). [para(8548(a,1),10707(a,1,2,2))]. given #9709 (H,wt=23): 10708 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10707(a,1),5595(a,1,2,2)),flip(a)]. given #9710 (H,wt=17): 10710 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(273,a,5595,a(flip),b,10708,a),flip(a)]. given #9711 (H,wt=15): 10711 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5127(a,1),10710(a,1,1,2)),flip(a)]. given #9712 (H,wt=31): 10567 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(62,a,7691,a(flip),b,10556,a),flip(a)]. given #9713 (H,wt=31): 10601 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(6425(a,2),10459(a,1,2))]. given #9714 (H,wt=32): 8217 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(8203(a,1),7954(a,1,2,1))]. given #9715 (H,wt=28): 10713 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(8509(a,1),8217(a,1,2))]. given #9716 (H,wt=24): 10714 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(273,a,8681,a(flip),b,10713,a),flip(a)]. given #9717 (H,wt=32): 8260 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(8224(a,1),3873(a,1,1,2))]. given #9718 (H,wt=19): 10716 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(4762,a,8260,a),flip(a)]. given #9719 (H,wt=23): 10718 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(7135(a,1),10716(a,1,2)),flip(a)]. given #9720 (H,wt=32): 8780 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8722(a,2),208(a,1,1,1))]. given #9721 (H,wt=28): 10719 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3159(a,1),8780(a,1,2,1)),flip(a)]. given #9722 (H,wt=24): 10720 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3159(a,1),10719(a,1,2)),flip(a)]. given #9723 (H,wt=32): 8975 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(8974(a,1),189(a,2,2))]. given #9724 (H,wt=15): 10724 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(273,a,9731,a(flip),b,8975,a),flip(a)]. given #9725 (H,wt=32): 9080 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8915(a,2),8456(a,2,1))]. given #9726 (H,wt=27): 10726 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9326(a,1),9080(a,1,2))]. given #9727 (H,wt=27): 10727 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8443(a,1),10726(a,1,2))]. given #9728 (H,wt=25): 10729 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8915(a,1),10727(a,2,1))]. given #9729 (H,wt=24): 10730 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(62,a,10611,a(flip),b,10729,a)]. given #9730 (H,wt=24): 10731 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10590,a,10730,a)]. given #9731 (H,wt=32): 9559 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(211(a,1),9122(a,1,1,1))]. given #9732 (H,wt=30): 10732 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(8916(a,1),9559(a,1,1)),flip(a)]. given #9733 (H,wt=28): 10733 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(5372(a,1),10732(a,2,2))]. given #9734 (H,wt=32): 9572 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(444(a,1),9299(a,2,2))]. given #9735 (H,wt=28): 10734 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(9(a,1),9572(a,1,2,1))]. given #9736 (H,wt=23): 10736 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,2),10734(a,1,2))]. given #9737 (H,wt=20): 10737 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(62,a,10050,a(flip),b,10736,a)]. given #9738 (H,wt=17): 10738 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(273,a,9877,a(flip),b,10737,a),flip(a)]. given #9739 (H,wt=17): 10741 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(10(a,1),10738(a,2,2,2))]. given #9740 (H,wt=14): 10743 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(62,a,7259,a(flip),b,10741,a),flip(a)]. given #9741 (H,wt=12): 10747 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(62,a,6738,a(flip),b,10743,a)]. given #9742 (H,wt=14): 10745 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(10741(a,1),7859(a,1,1,2))]. given #9743 (H,wt=14): 10750 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7509(a,1),10745(a,1,1)),flip(a)]. given #9744 (H,wt=16): 10746 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10741(a,1),7876(a,1,2,2))]. given #9745 (H,wt=17): 10742 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(12(a,1),10738(a,1,1,2)),flip(a)]. given #9746 (H,wt=14): 10757 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10742(a,1),7875(a,1,2,1))]. given #9747 (H,wt=16): 10755 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(62,a,10189,a(flip),b,10742,a),flip(a)]. given #9748 (H,wt=17): 10749 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(86(a,1),10745(a,1,1)),flip(a)]. given #9749 (H,wt=17): 10758 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(5132(a,1),10757(a,1,2))]. given #9750 (H,wt=18): 10756 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [para(10742(a,1),7614(a,1,2,2,1))]. given #9751 (H,wt=19): 10751 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(8229(a,1),10745(a,1,1)),flip(a)]. given #9752 (H,wt=19): 10754 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10741(a,1),10746(a,1,2,2))]. given #9753 (H,wt=19): 10759 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(9527,a,10755,a)]. given #9754 (H,wt=19): 10762 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(25(a,2),10751(a,1,1,2))]. given #9755 (H,wt=20): 10752 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10750(a,1),8579(a,1,1,2)),flip(a)]. given #9756 (H,wt=21): 10753 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(62,a,6740,a(flip),b,10746,a),flip(a)]. given #9757 (H,wt=21): 10765 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(10759(a,1),9294(a,1,1))]. given #9758 (H,wt=19): 10768 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5391,a,10765,a),flip(a)]. given #9759 (H,wt=21): 10767 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(25(a,2),10753(a,1,2,1,1))]. given #9760 (H,wt=19): 10770 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(6570,a,10767,a)]. given #9761 (H,wt=21): 10769 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(10768(a,1),9342(a,2,2))]. given #9762 (H,wt=21): 10773 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(273,a,9029,a,b,10769,a)]. given #9763 (H,wt=19): 10774 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(62,a,9060,a(flip),b,10773,a),flip(a)]. given #9764 (H,wt=19): 10775 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(62,a,9099,a,b,10774,a)]. given #9765 (H,wt=19): 10776 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(109(a,1),10775(a,1,2,1))]. given #9766 (H,wt=22): 10761 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(5302(a,1),10756(a,1,2,2))]. given #9767 (H,wt=17): 10777 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(62,a,10121,a(flip),b,10761,a),flip(a)]. given #9768 (H,wt=17): 10779 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(62,a,7703,a(flip),b,10777,a)]. given #9769 (H,wt=17): 10780 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(12(a,1),10777(a,1,2,2,2)),flip(a)]. given #9770 (H,wt=17): 10781 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(62,a,7459,a(flip),b,10779,a),flip(a)]. given #9771 (H,wt=17): 10782 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(273,a,6728,a,b,10781,a),flip(a)]. given #9772 (H,wt=22): 10764 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(105(a,1),10759(a,1,1)),flip(a)]. given #9773 (H,wt=22): 10784 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(9405,a,10764,a)]. given #9774 (H,wt=19): 10785 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(273,a,7556,a(flip),b,10784,a)]. given #9775 (H,wt=15): 10786 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(77(a,1),10785(a,1,1,1)),flip(a)]. given #9776 (H,wt=15): 10787 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(11(a,1),10786(a,1,1,2)),flip(a)]. given #9777 (H,wt=17): 10788 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(74(a,1),10786(a,1,1,2)),flip(a)]. given #9778 (H,wt=24): 10783 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(10782(a,1),9793(a,1,1)),flip(a)]. given #9779 (H,wt=26): 10766 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(10762(a,1),6887(a,1,1,1,2))]. given #9780 (H,wt=21): 10790 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(62,a,7041,a(flip),b,10766,a),flip(a)]. given #9781 (H,wt=25): 10792 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(10790(a,1),10592(a,1,2))]. given #9782 (H,wt=28): 10760 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [hyper(62,a,6894,a(flip),b,10755,a)]. given #9783 (H,wt=29): 10744 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(4288(a,1),10741(a,1,1,2))]. given #9784 (H,wt=24): 10793 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7444,a,10744,a)]. given #9785 (H,wt=22): 10795 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(62,a,10711,a(flip),b,10793,a),flip(a)]. given #9786 (H,wt=32): 9867 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(62,a,7035,a(flip),b,9863,a)]. given #9787 (H,wt=32): 10086 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6287(a,1),10085(a,1,2))]. given #9788 (H,wt=32): 10087 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(919(a,1),9985(a,1,2,2)),flip(a)]. given #9789 (H,wt=30): 10799 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(273,a,9077,a(flip),b,10087,a),flip(a)]. given #9790 (H,wt=28): 10800 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(273,a,10682,a(flip),b,10799,a),flip(a)]. given #9791 (H,wt=22): 10801 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(198(a,1),10800(a,2,2,2))]. given #9792 (H,wt=32): 10150 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4331(a,1),10148(a,1,1))]. given #9793 (H,wt=32): 10219 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(10218(a,2),452(a,2,2))]. given #9794 (H,wt=28): 10803 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(115,a,108,a(flip),b,10219,a)]. given #9795 (H,wt=28): 10804 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(10256,a,10803,a)]. given #9796 (H,wt=28): 10805 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(62,a,10295,a(flip),b,10804,a)]. given #9797 (H,wt=24): 10806 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(12(a,1),10805(a,1,2,1)),flip(a)]. given #9798 (H,wt=19): 10807 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(273,a,10109,a(flip),b,10806,a),flip(a)]. given #9799 (H,wt=23): 10808 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(198(a,1),10807(a,1,2)),flip(a)]. given #9800 (H,wt=26): 10809 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10807(a,1),10219(a,1,2))]. given #9801 (H,wt=19): 10810 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(9110,a,10809,a),flip(a)]. given #9802 (H,wt=15): 10811 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(116,a,10810,a(flip),b,108,a(flip))]. given #9803 (H,wt=15): 10814 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(62,a,145,a(flip),b,10811,a),flip(a)]. given #9804 (H,wt=17): 10813 ((x / y) * (z * y)) / (y * z) = x / T(y,z). [hyper(273,a,8230,a(flip),b,10811,a),flip(a)]. given #9805 (H,wt=17): 10816 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(10(a,1),10814(a,1,1,2))]. given #9806 (H,wt=17): 10817 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(12(a,1),10814(a,1,1,2))]. given #9807 (H,wt=18): 10818 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(10814(a,1),7868(a,1,1))]. given #9808 (H,wt=18): 10819 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10814(a,1),7908(a,1,2))]. given #9809 (H,wt=19): 10822 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(62,a,9613,a,b,10817,a)]. given #9810 (H,wt=19): 10824 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [hyper(171,a,10822,a),flip(a)]. given #9811 (H,wt=21): 10815 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(8440(a,1),10811(a,2,2))]. given #9812 (H,wt=22): 10823 K(x,y / ((z * x) * u)) != w | K(x,y / (x * (z * u))) = w. [para(8148(a,1),10819(a,1))]. given #9813 (H,wt=23): 10821 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(10816(a,1),7889(a,1,2,2))]. given #9814 (H,wt=23): 10825 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(10824(a,2),2973(a,2,1))]. given #9815 (H,wt=25): 10820 (x \ y) * K(z,z \ T(x,x \ y)) = y / ((z \ T(x,x \ y)) * z). [para(236(a,1),10816(a,1,1))]. given #9816 (H,wt=25): 10826 (x \ y) * K(z,z \ T(x,x \ y)) = y / T((z \ x) * z,x \ y). [para(4920(a,2),10820(a,2,2))]. given #9817 (H,wt=21): 10827 (x \ y) * K(z,z \ T(x,x \ y)) = ((z \ x) * z) \ y. [hyper(273,a,9676,a(flip),b,10826,a),flip(a)]. given #9818 (H,wt=21): 10828 K(x,L(y,((x \ z) * x) \ u,w)) = K(x,L(y,z \ u,w)). [para(10827(a,1),10709(a,1,2,2))]. given #9819 (H,wt=32): 10220 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(600(a,1),10188(a,1,2)),flip(a)]. given #9820 (H,wt=28): 10829 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(273,a,3640,a(flip),b,10220,a),flip(a)]. given #9821 (H,wt=25): 10830 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(600(a,1),10829(a,1,2))]. given #9822 (H,wt=21): 10831 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6660,a,10830,a),flip(a)]. given #9823 (H,wt=32): 10239 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(10238(a,1),5894(a,1,2,2))]. given #9824 (H,wt=32): 10343 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(8297(a,2),25(a,2,1)),flip(a)]. given #9825 (H,wt=32): 10401 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(62,a,6578,a(flip),b,10400,a),flip(a)]. given #9826 (H,wt=32): 10494 (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(10492(a,1),6411(a,2,2))]. given #9827 (H,wt=25): 10833 (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(7853(a,1),10494(a,1,1,2))]. given #9828 (H,wt=29): 10834 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). [hyper(116,a,10833,a(flip),b,8180,a)]. given #9829 (H,wt=25): 10836 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). [para(8226(a,1),10834(a,2,2,1))]. given #9830 (H,wt=25): 10837 (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). [hyper(273,a,9751,a(flip),b,10836,a),flip(a)]. given #9831 (H,wt=21): 10839 (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). [para(10474(a,1),10837(a,2,2))]. given #9832 (H,wt=17): 10840 (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). [hyper(3838,a,10839,a)]. given #9833 (H,wt=10): 10841 T(x,a(y,z,K(x,u))) = x. [hyper(239,a,10840,a)]. given #9834 (H,wt=21): 10842 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(10841(a,1),7476(a,1,2,2)),flip(a)]. given #9835 (H,wt=21): 10843 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(273,a,10499,a,b,10842,a)]. given #9836 (H,wt=24): 10844 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10843(a,2),42(a,1))]. given #9837 (H,wt=32): 10650 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10649(a,1),9123(a,2,1))]. given #9838 (H,wt=30): 10845 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10645(a,1),10650(a,1,2,1))]. given #9839 (H,wt=32): 10797 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(273,a,9233,a(flip),b,9867,a),flip(a)]. given #9840 (H,wt=28): 10848 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(9(a,1),10797(a,2,2,1,1))]. given #9841 (H,wt=32): 10802 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7655,a,10150,a),flip(a)]. given #9842 (H,wt=32): 10832 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7579(a,1),10239(a,1,1))]. given #9843 (H,wt=33): 9692 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9690(a,1),9537(a,1,2,1,2,2)),flip(a)]. given #9844 (H,wt=23): 10850 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(273,a,9537,a(flip),b,9692,a),flip(a)]. given #9845 (H,wt=25): 10851 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8836(a,1),10850(a,1,2,1,2,1))]. given #9846 (H,wt=23): 10852 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(62,a,10332,a(flip),b,10851,a),flip(a)]. given #9847 (H,wt=19): 10854 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,9316,a(flip),b,10852,a)]. given #9848 (H,wt=17): 10857 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(153(a,1),10854(a,2,2))]. given #9849 (H,wt=19): 10856 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(62,a,9760,a(flip),b,10854,a),flip(a)]. given #9850 (H,wt=17): 10859 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [para(7(a,1),10856(a,2,2,1))]. given #9851 (H,wt=16): 10861 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(62,a,9931,a(flip),b,10859,a)]. given #9852 (H,wt=17): 10860 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(66(a,1),10856(a,1,2,2))]. given #9853 (H,wt=24): 10855 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) = L(K(x,u),z,y * x). [hyper(7141,a,10854,a),flip(a)]. given #9854 (H,wt=27): 10858 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(10854(a,1),7141(a,1))]. given #9855 (H,wt=33): 10136 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6558(a,2),10051(a,2,2,2)),flip(a)]. given #9856 (H,wt=28): 10863 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(273,a,8031,a(flip),b,10136,a),flip(a)]. given #9857 (H,wt=26): 10865 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(273,a,6569,a(flip),b,10863,a),flip(a)]. given #9858 (H,wt=24): 10866 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6558(a,1),10865(a,1,2,2))]. given #9859 (H,wt=33): 10526 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T((z / u) * ((x * y) / x),u),x)). [hyper(62,a,9319,a,b,8645,a)]. given #9860 (H,wt=29): 10867 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T(y * (z / u),u),x)). [hyper(273,a,10701,a(flip),b,10526,a),flip(a)]. given #9861 (H,wt=33): 10862 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(10861(a,1),10222(a,1,1))]. given #9862 (H,wt=28): 10869 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9977,a,10862,a),flip(a)]. given #9863 (H,wt=24): 10870 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(6538,a,10869,a)]. given #9864 (H,wt=24): 10871 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(10330,a,10870,a)]. given #9865 (H,wt=21): 10872 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(405(a,1),10871(a,1,2,1,2))]. given #9866 (H,wt=21): 10873 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(273,a,10298,a(flip),b,10872,a),flip(a)]. given #9867 (H,wt=23): 10874 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [hyper(62,a,10312,a,b,10873,a)]. given #9868 (H,wt=19): 10876 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [para(199(a,1),10874(a,1,2,1,2)),flip(a)]. given #9869 (H,wt=19): 10878 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(108(a,1),10876(a,1,2,1)),flip(a)]. given #9870 (H,wt=23): 10875 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(22(a,2),10873(a,1,2,2))]. given #9871 (H,wt=21): 10879 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7935,a,10875,a)]. given #9872 (H,wt=19): 10880 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,10872,a(flip),b,10879,a)]. given #9873 (H,wt=17): 10883 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(8(a,1),10880(a,2,2,1))]. given #9874 (H,wt=17): 10888 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(62,a,10878,a,b,10883,a)]. given #9875 (H,wt=19): 10881 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(10331,a,10880,a)]. given #9876 (H,wt=21): 10889 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(62,a,10327,a(flip),b,10888,a),flip(a)]. given #9877 (H,wt=19): 10892 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(9416,a,10889,a)]. given #9878 (H,wt=17): 10893 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(62,a,10167,a(flip),b,10892,a),flip(a)]. given #9879 (H,wt=22): 10886 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10880(a,1),10331(a,1))]. given #9880 (H,wt=22): 10891 K(x,(y * z) \ (u * x)) != w | K(x,(y * (x \ z)) \ u) = w. [para(10881(a,1),10330(a,1))]. given #9881 (H,wt=24): 10877 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [hyper(273,a,7131,a,b,10876,a)]. given #9882 (H,wt=24): 10882 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(62,a,9976,a,b,10880,a)]. given #9883 (H,wt=25): 10884 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5174(a,1),10880(a,1,2,1)),flip(a)]. given #9884 (H,wt=25): 10885 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10880(a,1),9197(a,1,2,2))]. given #9885 (H,wt=19): 10897 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5596,a,10885,a),flip(a)]. given #9886 (H,wt=19): 10898 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(9748,a,10897,a)]. given #9887 (H,wt=17): 10900 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(8(a,1),10898(a,2,1,1))]. given #9888 (H,wt=18): 10901 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(62,a,8362,a,b,10900,a)]. given #9889 (H,wt=20): 10902 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(62,a,8359,a,b,10900,a)]. given #9890 (H,wt=22): 10899 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10897(a,1),9748(a,1))]. given #9891 (H,wt=24): 10903 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10901(a,1),10471(a,1,2))]. given #9892 (H,wt=24): 10904 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10903(a,1),5421(a,1,2))]. given #9893 (H,wt=18): 10905 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(10490,a,10904,a)]. given #9894 (H,wt=18): 10907 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6724(a,2),10905(a,1,1))]. given #9895 (H,wt=20): 10906 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(10(a,1),10905(a,2,2,2,1))]. given #9896 (H,wt=23): 10908 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(436(a,1),10907(a,2,2))]. given #9897 (H,wt=26): 10895 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(62,a,8572,a(flip),b,10893,a),flip(a)]. given #9898 (H,wt=22): 10909 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(273,a,3111,a(flip),b,10895,a),flip(a)]. given #9899 (H,wt=22): 10910 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(10163,a,10909,a)]. given #9900 (H,wt=27): 10896 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5631(a,2),10884(a,1,2,1,1))]. given #9901 (H,wt=27): 10912 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(62,a,5725,a,b,10896,a)]. given #9902 (H,wt=28): 10887 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10880(a,1),9198(a,1,1))]. given #9903 (H,wt=23): 10913 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(62,a,10882,a(flip),b,10887,a),flip(a)]. given #9904 (H,wt=28): 10911 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(273,a,7821,a,b,10910,a)]. given #9905 (H,wt=26): 10915 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(9878(a,1),10911(a,1,1))]. given #9906 (H,wt=18): 10916 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(10(a,1),10915(a,2,2,1,2,1))]. given #9907 (H,wt=19): 10917 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(273,a,5785,a,b,10916,a)]. given #9908 (H,wt=19): 10919 K(x,R(1 / y,y,z) \ x) = R(K(x,x * y),y,z). [para(193(a,2),10916(a,2,2,1)),flip(a)]. given #9909 (H,wt=21): 10920 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10917(a,1),5163(a,2,2))]. given #9910 (H,wt=31): 10890 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) != v5 | K(x,(u * (y * (z / x))) \ w) = v5. [para(10881(a,1),9780(a,1,1))]. given #9911 (H,wt=31): 10914 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(62,a,10567,a(flip),b,10913,a)]. given #9912 (H,wt=27): 10921 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(62,a,7682,a,b,10914,a),flip(a)]. given #9913 (H,wt=25): 10922 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(273,a,10780,a(flip),b,10921,a),flip(a)]. given #9914 (H,wt=25): 10923 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(12(a,1),10922(a,1,2,1)),flip(a)]. given #9915 (H,wt=21): 10924 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(62,a,7563,a(flip),b,10923,a),flip(a)]. given #9916 (H,wt=19): 10925 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(273,a,6569,a(flip),b,10924,a),flip(a)]. given #9917 (H,wt=15): 10926 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5462,a,10925,a),flip(a)]. given #9918 (H,wt=15): 10927 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(62,a,9975,a(flip),b,10925,a),flip(a)]. given #9919 (H,wt=16): 10930 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(62,a,10099,a,b,10927,a)]. given #9920 (H,wt=14): 10932 L(K(x,x \ y),y,z) = K(x,x \ y). [para(9(a,1),10930(a,1,3))]. given #9921 (H,wt=10): 10935 a(x,y,K(z,z \ y)) = 1. [hyper(52,a,10932,a)]. given #9922 (H,wt=10): 10936 a(x,y,K(z \ y,z)) = 1. [para(6218(a,1),10935(a,1,3))]. given #9923 (H,wt=14): 10937 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(51,a,10936,a)]. given #9924 (H,wt=15): 10934 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(62,a,10095,a(flip),b,10932,a)]. given #9925 (H,wt=15): 10938 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(10055,a,10937,a)]. given #9926 (H,wt=15): 10944 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(10(a,1),10938(a,1,1,2,2))]. given #9927 (H,wt=15): 10946 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(9835,a,10944,a)]. given #9928 (H,wt=15): 10948 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(62,a,9899,a(flip),b,10944,a),flip(a)]. given #9929 (H,wt=17): 10942 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(10934(a,2),8496(a,1,2))]. given #9930 (H,wt=15): 10953 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [hyper(273,a,8751,a(flip),b,10942,a),flip(a)]. given #9931 (H,wt=17): 10945 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10938(a,1),10064(a,1,2))]. given #9932 (H,wt=10): 10955 R(x,y,K(z \ y,z)) = x. [hyper(750,a,10945,a)]. given #9933 (H,wt=10): 10958 R(x,y * z,K(z,y)) = x. [para(9(a,1),10955(a,1,3,1))]. given #9934 (H,wt=11): 10959 R(x,y,T(z,y)) = R(x,y,z). [hyper(62,a,8114,a(flip),b,10958,a)]. given #9935 (H,wt=13): 10963 R(x,y,z / y) = R(x,y,y \ z). [para(110(a,1),10959(a,1,3)),flip(a)]. given #9936 (H,wt=14): 10962 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(62,a,367,a(flip),b,10959,a)]. given #9937 (H,wt=13): 10968 T(x,y) / (x * y) = x / (y * x). [hyper(273,a,193,a(flip),b,10962,a),flip(a)]. given #9938 (H,wt=13): 10971 (x / (y * x)) \ T(x,y) = x * y. [hyper(171,a,10968,a)]. given #9939 (H,wt=14): 10969 R(1 / x,x,y) \ T(y,x) = y * x. [hyper(171,a,10962,a)]. given #9940 (H,wt=15): 10960 (x * (y * z)) * K(z,y) = x * (z * y). [para(10958(a,1),481(a,1,1)),flip(a)]. given #9941 (H,wt=10): 10976 K(x,L(y,x,z)) = K(x,y). [hyper(9106,a,10960,a)]. given #9942 (H,wt=10): 10979 K(L(x,y,z),y) = K(x,y). [hyper(9531,a,10976,a)]. given #9943 (H,wt=12): 10982 L(K(x,y),z,y * x) = K(x,y). [hyper(62,a,10808,a(flip),b,10976,a)]. given #9944 (H,wt=10): 10994 K(x,R(y,x,z)) = K(x,y). [hyper(62,a,10427,a(flip),b,10982,a)]. given #9945 (H,wt=12): 10983 T(x,L(y,x,z)) = x * K(x,y). [para(10976(a,1),5163(a,2,2))]. given #9946 (H,wt=10): 11003 T(x,L(y,x,z)) = T(x,y). [hyper(273,a,5163,a,b,10983,a),flip(a)]. given #9947 (H,wt=13): 11004 T(x,L(y,x,z)) != u | T(x,y) = u. [para(10983(a,2),5167(a,1))]. given #9948 (H,wt=14): 10986 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(10976(a,1),9057(a,1,2)),flip(a)]. given #9949 (H,wt=14): 10997 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(62,a,6190,a(flip),b,10994,a)]. given #9950 (H,wt=14): 11013 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(62,a,10788,a(flip),b,10997,a)]. given #9951 (H,wt=14): 11014 K(R(x,y,z),y) = K(y \ (y * x),y). [para(9(a,1),11013(a,1,1,1))]. given #9952 (H,wt=10): 11016 K(R(x,y,z),y) = K(x,y). [hyper(273,a,621,a(flip),b,11014,a),flip(a)]. given #9953 (H,wt=13): 11017 K(R(x,y,z),y) != u | K(x,y) = u. [para(11014(a,2),9395(a,1))]. given #9954 (H,wt=13): 11018 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(273,a,10994,a,b,11016,a),flip(a)]. given #9955 (H,wt=13): 11026 K(x,R(y,x,z)) != u | K(x,y) = u. [para(11018(a,1),11017(a,1))]. given #9956 (H,wt=14): 11020 K(R(x,y,z),T(y,u)) = K(x,T(y,u)). [hyper(62,a,10377,a(flip),b,11016,a)]. given #9957 (H,wt=15): 10972 T(x,x \ y) / y = x / ((x \ y) * x). [para(10(a,1),10968(a,1,2))]. given #9958 (H,wt=15): 11007 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(62,a,10001,a(flip),b,11003,a)]. given #9959 (H,wt=15): 11009 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(11003(a,1),108(a,1,2))]. given #9960 (H,wt=15): 11024 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11018(a,2),5163(a,2,2))]. given #9961 (H,wt=10): 11033 T(x,R(y,x,z)) = T(x,y). [hyper(273,a,7437,a(flip),b,11024,a),flip(a)]. given #9962 (H,wt=15): 11027 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10427(a,2),11026(a,1))]. given #9963 (H,wt=13): 11038 K(x,L(y,x,z)) != u | K(x,y) = u. [para(10807(a,1),11027(a,1))]. given #9964 (H,wt=15): 11030 T(x,y \ (x \ z)) = T(x,x \ (y \ z)). [para(10(a,1),11007(a,1,2,2,2))]. given #9965 (H,wt=15): 11040 T(x,(x * y) \ z) = T(x,x \ (y \ z)). [hyper(62,a,9861,a,b,11030,a)]. given #9966 (H,wt=15): 11043 T(x,x \ ((x \ y) \ z)) = T(x,y \ z). [para(10(a,1),11040(a,1,2,1)),flip(a)]. given #9967 (H,wt=16): 10980 K(x,L(y,x,z)) = (u * x) \ (u * T(x,y)). [hyper(273,a,6469,a,b,10976,a),flip(a)]. given #9968 (H,wt=16): 10998 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(31(a,1),10994(a,1,2))]. given #9969 (H,wt=17): 10947 K(x \ (((x \ y) * z) \ y),x) = K(z \ 1,x). [hyper(7127,a,10944,a),flip(a)]. given #9970 (H,wt=17): 10956 (x * K(y \ z,y)) / ((y \ z) * y) = x / z. [hyper(549,a,10945,a)]. given #9971 (H,wt=15): 11046 (x / (x / y)) / ((y \ x) * y) = y / x. [para(5063(a,2),10956(a,1,1))]. given #9972 (H,wt=15): 11047 (x / y) \ (y / (y / x)) = (x \ y) * x. [hyper(171,a,11046,a)]. given #9973 (H,wt=17): 10999 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(488(a,1),10994(a,1,2)),flip(a)]. given #9974 (H,wt=17): 11022 K(R(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(10377(a,1),11017(a,1))]. given #9975 (H,wt=17): 11023 R(K(x \ y,x),y,z) != u | K(x \ y,x) = u. [para(10788(a,2),11017(a,1))]. given #9976 (H,wt=17): 11041 T(x,x \ (((x \ y) * z) \ y)) = T(x,z \ 1). [hyper(62,a,6677,a(flip),b,11030,a),flip(a)]. given #9977 (H,wt=18): 10928 K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. [para(10925(a,1),5462(a,1))]. given #9978 (H,wt=18): 10967 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(10963(a,1),362(a,1,1))]. given #9979 (H,wt=15): 11050 ((x \ y) / y) * (x * (y / x)) = y / x. [para(10967(a,1),711(a,1,2))]. given #9980 (H,wt=18): 11012 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(11003(a,1),10320(a,1,1,2)),flip(a)]. given #9981 (H,wt=11): 11052 L(x,T(y,x),z) = L(x,y,z). [hyper(273,a,18,a,b,11012,a)]. given #9982 (H,wt=13): 11054 L(x,y / x,z) = L(x,x \ y,z). [para(110(a,1),11052(a,1,2)),flip(a)]. given #9983 (H,wt=18): 11025 K(x,R(y,x,z)) * R(x,y,u) = T(R(x,y,u),y). [para(11018(a,1),5173(a,2,1)),flip(a)]. given #9984 (H,wt=18): 11039 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9881(a,1),11038(a,1))]. given #9985 (H,wt=18): 11057 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(62,a,521,a(flip),b,11054,a),flip(a)]. given #9986 (H,wt=18): 11058 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(11054(a,1),7166(a,1,1))]. given #9987 (H,wt=18): 11059 K(x,R(y,x,z)) * R(x,y,u) = R(T(x,y),y,u). [hyper(273,a,27,a,b,11025,a),flip(a)]. given #9988 (H,wt=19): 10941 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(62,a,10298,a(flip),b,10934,a),flip(a)]. given #9989 (H,wt=19): 10995 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10982(a,1),10418(a,1,1))]. given #9990 (H,wt=15): 11063 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(273,a,10441,a(flip),b,10995,a),flip(a)]. given #9991 (H,wt=17): 11066 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(10(a,1),11063(a,1,2,1))]. given #9992 (H,wt=17): 11070 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(287,a,11066,a),flip(a)]. given #9993 (H,wt=17): 11073 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(62,a,10464,a(flip),b,11070,a)]. given #9994 (H,wt=17): 11074 x \ (K(y \ x,y) * z) = (y * (x / y)) \ z. [hyper(115,a,11070,a(flip),b,10464,a(flip))]. given #9995 (H,wt=17): 11076 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(33,a,5387,a(flip),b,11073,a),flip(a)]. given #9996 (H,wt=10): 11077 L(x,y,K(z,z \ y)) = x. [hyper(5557,a,11076,a)]. given #9997 (H,wt=10): 11079 L(x,y * z,K(z,y)) = x. [para(5355(a,1),11077(a,1,3))]. given #9998 (H,wt=13): 11080 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(62,a,4725,a(flip),b,11079,a)]. given #9999 (H,wt=11): 11083 L(x,y,T(z,y)) = L(x,y,z). [para(5175(a,1),11080(a,1,3)),flip(a)]. given #10000 (H,wt=13): 11084 L(x,y,z / y) = L(x,y,y \ z). [para(5176(a,1),11080(a,1,3))]. given #10001 (H,wt=13): 11086 L(x,y / z,z) = L(x,z \ y,z). [hyper(62,a,4654,a(flip),b,11083,a)]. given #10002 (H,wt=16): 11081 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(62,a,6254,a,b,11080,a),flip(a)]. given #10003 (H,wt=16): 11092 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(176,a,11081,a(flip))]. given #10004 (H,wt=19): 11028 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4172(a,1),10972(a,1,1))]. given #10005 (H,wt=19): 11093 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [hyper(171,a,11028,a(flip))]. given #10006 (H,wt=20): 10929 K(x,(y \ x) * (x \ (y * z))) = K(x,L(z,y,y \ x)). [hyper(62,a,10384,a(flip),b,10926,a),flip(a)]. given #10007 (H,wt=20): 10943 K(x,K(y,z \ (y \ u))) != w | K(x,K(y,z \ u)) = w. [para(10934(a,2),9430(a,1,2))]. given #10008 (H,wt=20): 10949 K(x \ (((x \ y) * z) \ y),x) != u | K(z \ 1,x) = u. [para(10944(a,1),7127(a,1))]. given #10009 (H,wt=20): 11042 K(x,T(y,z \ (y \ u))) != w | K(x,T(y,z \ u)) = w. [para(11030(a,2),7456(a,1,2))]. given #10010 (H,wt=20): 11060 T(x,R(y,x,z)) \ R(T(x,y),y,u) = x \ R(x,y,u). [hyper(115,a,11059,a(flip),b,5138,a)]. given #10011 (H,wt=17): 11098 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(345(a,1),11060(a,1,1,2))]. given #10012 (H,wt=20): 11071 ((x \ y) * x) * (y \ z) != u | K(x \ y,x) * z = u. [para(11066(a,1),287(a,1))]. given #10013 (H,wt=20): 11097 K(x,(y \ x) * (x \ (y * z))) = K(x,L(z,y,x / y)). [para(11084(a,2),10929(a,2,2))]. given #10014 (H,wt=17): 11101 K(x,L(y,z,x / z)) = K(x,L(y,z,z \ x)). [hyper(62,a,10929,a(flip),b,11097,a),flip(a)]. given #10015 (H,wt=21): 10973 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(10968(a,1),6424(a,1,1))]. given #10016 (H,wt=21): 10974 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(5174(a,1),10971(a,1,1,2))]. given #10017 (H,wt=17): 11102 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(4603(a,1),10974(a,1,2))]. given #10018 (H,wt=15): 11103 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(273,a,5199,a(flip),b,11102,a),flip(a)]. given #10019 (H,wt=21): 10978 (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). [para(8443(a,2),10960(a,1,2))]. given #10020 (H,wt=21): 11049 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(10999(a,1),9742(a,1,2,2))]. given #10021 (H,wt=17): 11105 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(62,a,9742,a(flip),b,11049,a),flip(a)]. given #10022 (H,wt=19): 11106 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,9059,a(flip),b,11105,a),flip(a)]. given #10023 (H,wt=17): 11107 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(62,a,6656,a(flip),b,11106,a),flip(a)]. given #10024 (H,wt=21): 11067 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1362(a,2),11063(a,1,2))]. given #10025 (H,wt=21): 11094 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3127(a,1),11028(a,1,1))]. given #10026 (H,wt=21): 11096 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(3127(a,1),11093(a,1,1,1))]. given #10027 (H,wt=22): 11045 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(62,a,6192,a,b,10998,a)]. given #10028 (H,wt=19): 11108 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10994(a,1),11045(a,1,1))]. given #10029 (H,wt=22): 11068 K(x,T(y,(x * z) * u)) != w | K(x,T(y,(z * x) * u)) = w. [para(11063(a,1),7658(a,1,2,2))]. given #10030 (H,wt=23): 10954 K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). [para(10953(a,1),8214(a,1,1))]. given #10031 (H,wt=23): 11085 L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),K(x,w) * z,u). [hyper(62,a,9304,a(flip),b,11083,a)]. given #10032 (H,wt=19): 11110 L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),z,u). [hyper(273,a,9304,a(flip),b,11085,a),flip(a)]. given #10033 (H,wt=23): 11095 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(6674(a,1),11028(a,1,1))]. given #10034 (H,wt=19): 11112 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(62,a,9161,a(flip),b,11095,a)]. given #10035 (H,wt=24): 10992 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(10979(a,1),7221(a,1,2,2))]. given #10036 (H,wt=22): 11113 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(5565,a,10992,a)]. given #10037 (H,wt=24): 11072 ((x \ y) * x) * (y \ z) != u * w | u \ (K(x \ y,x) * z) = w. [para(11066(a,1),554(a,1))]. given #10038 (H,wt=24): 11099 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(62,a,10733,a(flip),b,11098,a)]. given #10039 (H,wt=21): 11115 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(62,a,11113,a(flip),b,11099,a),flip(a)]. given #10040 (H,wt=25): 11048 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(11047(a,1),10246(a,1,1,1))]. given #10041 (H,wt=23): 11116 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(273,a,10247,a(flip),b,11048,a),flip(a)]. given #10042 (H,wt=22): 11117 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(62,a,5972,a,b,11116,a)]. given #10043 (H,wt=15): 11118 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(11017,a,11117,a),flip(a)]. given #10044 (H,wt=15): 11122 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(62,a,10182,a,b,11118,a)]. given #10045 (H,wt=17): 11121 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(62,a,10521,a,b,11118,a)]. given #10046 (H,wt=17): 11123 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [hyper(62,a,10245,a(flip),b,11118,a),flip(a)]. given #10047 (H,wt=18): 11119 K(x / (y * z),z) != u | K(z \ (x / y),z) = u. [para(11117(a,1),11017(a,1))]. given #10048 (H,wt=19): 11124 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11122(a,1),7582(a,1,1))]. given #10049 (H,wt=17): 11127 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7566,a,11124,a)]. given #10050 (H,wt=17): 11128 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(62,a,9536,a(flip),b,11127,a)]. given #10051 (H,wt=21): 11129 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11128(a,1),8226(a,1,1,2)),flip(a)]. given #10052 (H,wt=17): 11130 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(273,a,8226,a(flip),b,11129,a),flip(a)]. given #10053 (H,wt=17): 11131 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7655,a,11130,a)]. given #10054 (H,wt=17): 11132 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(74(a,1),11131(a,1,2,1,2)),flip(a)]. given #10055 (H,wt=25): 11051 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(11050(a,1),9270(a,1,2,2,1))]. given #10056 (H,wt=23): 11133 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(273,a,9274,a(flip),b,11051,a),flip(a)]. given #10057 (H,wt=20): 11134 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(62,a,9275,a,b,11133,a)]. given #10058 (H,wt=22): 11135 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(77(a,1),11134(a,2,2,2,1))]. given #10059 (H,wt=15): 11136 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(11026,a,11135,a),flip(a)]. given #10060 (H,wt=15): 11137 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10819,a,11136,a)]. given #10061 (H,wt=15): 11139 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(62,a,10170,a,b,11136,a)]. given #10062 (H,wt=15): 11141 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(9(a,1),11139(a,1,2,1)),flip(a)]. given #10063 (H,wt=21): 11140 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11137(a,1),10141(a,1,2))]. given #10064 (H,wt=19): 11142 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5167,a,11140,a),flip(a)]. given #10065 (H,wt=25): 11126 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(11123(a,1),9004(a,1,2)),flip(a)]. given #10066 (H,wt=21): 11143 K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). [hyper(273,a,10954,a(flip),b,11126,a),flip(a)]. given #10067 (H,wt=26): 11075 (x * (y / x)) \ (T(x,x * (x \ y)) * z) = y \ (L(x,x \ y,x) * z). [hyper(115,a,5643,a(flip),b,11073,a),flip(a)]. given #10068 (H,wt=22): 11145 (x * (y / x)) \ (T(x,y) * z) = y \ (L(x,x \ y,x) * z). [para(10(a,1),11075(a,1,2,1,2))]. given #10069 (H,wt=26): 11146 x \ (L(y,y \ x,y) * ((x / y) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [hyper(62,a,10509,a(flip),b,11145,a),flip(a)]. given #10070 (H,wt=27): 11061 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10941(a,1),7107(a,1,1)),flip(a)]. given #10071 (H,wt=27): 11069 K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) = (R(x,z,R(x,u,w)) * y) * v5. [para(7719(a,1),11063(a,1,1))]. given #10072 (H,wt=23): 11148 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(62,a,11067,a(flip),b,11069,a),flip(a)]. given #10073 (H,wt=28): 10991 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(464(a,1),10979(a,1,1))]. given #10074 (H,wt=28): 11011 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(464(a,1),11003(a,1,2))]. given #10075 (H,wt=28): 11037 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(498(a,1),11033(a,1,2))]. given #10076 (H,wt=28): 11147 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(11061(a,2),11039(a,1))]. given #10077 (H,wt=28): 11149 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(62,a,10643,a(flip),b,10991,a)]. given #10078 (H,wt=28): 11150 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(62,a,25,a,b,11011,a)]. given #10079 (H,wt=28): 11151 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(62,a,27,a,b,11037,a)]. given #10080 (H,wt=28): 11152 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(10310(a,1),11150(a,1,1))]. given #10081 (H,wt=20): 11154 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(11007(a,1),11152(a,1,1)),flip(a)]. given #10082 (H,wt=28): 11153 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(273,a,4230,a(flip),b,11151,a),flip(a)]. given #10083 (H,wt=28): 11157 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(273,a,27,a,b,11153,a),flip(a)]. given #10084 (H,wt=28): 11158 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11142(a,1),11157(a,1,1))]. given #10085 (H,wt=20): 11159 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(11(a,1),11158(a,1,1,2,2)),flip(a)]. given #10086 (H,wt=14): 11160 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(50,a,11159,a)]. given #10087 (H,wt=10): 11163 T(x,x \ R(x,y,z)) = x. [hyper(184,a,11160,a),flip(a)]. given #10088 (H,wt=13): 11165 (x \ R(x,y,z)) * x = R(x,y,z). [para(11163(a,1),197(a,1,2))]. given #10089 (H,wt=13): 11166 R(x,y,z) / x = x \ R(x,y,z). [para(11163(a,1),236(a,1,2))]. given #10090 (H,wt=17): 11161 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(11159(a,1),312(a,1,2))]. given #10091 (H,wt=17): 11173 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(592(a,1),11161(a,1,2,1))]. given #10092 (H,wt=17): 11176 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [hyper(171,a,11173,a)]. given #10093 (H,wt=17): 11177 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(74(a,1),11176(a,1,1,1,1)),flip(a)]. given #10094 (H,wt=21): 11167 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(11163(a,1),5120(a,1,1,1)),flip(a)]. given #10095 (H,wt=13): 11181 K(x \ R(x,y,z),R(x,u,w)) = 1. [hyper(273,a,66,a(flip),b,11167,a),flip(a)]. given #10096 (H,wt=16): 11182 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(11167(a,2),289(a,1))]. given #10097 (H,wt=21): 11168 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(11163(a,1),5165(a,1,2,1)),flip(a)]. given #10098 (H,wt=13): 11184 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(273,a,66,a(flip),b,11168,a),flip(a)]. given #10099 (H,wt=21): 11178 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11176(a,1),10396(a,1,2,1)),flip(a)]. given #10100 (H,wt=23): 11169 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(11166(a,1),497(a,1,1))]. given #10101 (H,wt=26): 11189 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(11169(a,2),8625(a,1,1))]. given #10102 (H,wt=29): 11088 L(x,T(y,y \ z) \ u,T(y,y \ z)) = L(x,u / T(y,y \ z),(y \ z) \ z). [hyper(62,a,1404,a(flip),b,11086,a),flip(a)]. given #10103 (H,wt=25): 11193 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(62,a,4536,a(flip),b,11088,a),flip(a)]. given #10104 (H,wt=25): 11194 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(62,a,2799,a,b,11193,a),flip(a)]. given #10105 (H,wt=29): 11155 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(11154(a,1),5501(a,1,2,1))]. given #10106 (H,wt=20): 11195 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(62,a,5614,a(flip),b,11155,a),flip(a)]. given #10107 (H,wt=29): 11162 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11159(a,1),5618(a,1,2,1))]. given #10108 (H,wt=20): 11196 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(62,a,5618,a(flip),b,11162,a),flip(a)]. given #10109 (H,wt=22): 11197 K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). [hyper(5451,a,11196,a),flip(a)]. given #10110 (H,wt=25): 11200 K(x \ (R(x,y,z) / u),R(x,y,z)) != w | K(u \ 1,R(x,y,z)) = w. [para(11196(a,1),5451(a,1))]. given #10111 (H,wt=29): 11190 K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(62,a,11018,a(flip),b,11189,a)]. given #10112 (H,wt=30): 11032 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(11009(a,1),1131(a,1,2,2))]. given #10113 (H,wt=28): 11201 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(108(a,1),11032(a,1,1,1))]. given #10114 (H,wt=19): 11202 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1265,a,11201,a),flip(a)]. given #10115 (H,wt=17): 11203 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(108(a,1),11202(a,1,2))]. given #10116 (H,wt=30): 11065 K(x,K(y,z)) * ((K(y,z) * x) * (K(z,y) * u)) = x * L(u,K(z,y),x * K(y,z)). [hyper(273,a,8241,a,b,11063,a),flip(a)]. given #10117 (H,wt=30): 11125 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(11121(a,1),5833(a,1,2,1,2)),flip(a)]. given #10118 (H,wt=23): 11205 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(273,a,5833,a(flip),b,11125,a),flip(a)]. given #10119 (H,wt=29): 11206 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(62,a,10527,a(flip),b,11205,a)]. given #10120 (H,wt=24): 11208 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(273,a,11197,a(flip),b,11206,a),flip(a)]. given #10121 (H,wt=30): 11188 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(11169(a,1),7821(a,2,2))]. given #10122 (H,wt=30): 11204 K(x,K(y,z)) * (K(y,z) * ((x * K(z,y)) * u)) = x * L(u,K(z,y),x * K(y,z)). [para(8264(a,1),11065(a,1,2))]. given #10123 (H,wt=30): 11209 x \ (K(y,z) * (K(x,K(y,z)) * ((x * K(z,y)) * u))) = L(u,K(z,y),x * K(y,z)). [hyper(4595,a,11204,a)]. given #10124 (H,wt=31): 10950 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1126(a,1),10946(a,1,1,1)),flip(a)]. given #10125 (H,wt=31): 10952 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(7206(a,1),10948(a,1,1,2,1))]. given #10126 (H,wt=31): 11170 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(11166(a,1),8402(a,1,1))]. given #10127 (H,wt=25): 11210 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5176(a,1),11170(a,2,1))]. given #10128 (H,wt=31): 11180 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5834(a,1),11177(a,2,1))]. given #10129 (H,wt=26): 11211 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(273,a,6400,a(flip),b,11180,a),flip(a)]. given #10130 (H,wt=24): 11212 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6398(a,1),11211(a,1,1)),flip(a)]. given #10131 (H,wt=31): 11186 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(11184(a,1),8823(a,1,1,2))]. given #10132 (H,wt=29): 11213 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(178(a,1),11186(a,1,1))]. given #10133 (H,wt=29): 11215 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(8224(a,1),11213(a,1,2))]. given #10134 (H,wt=24): 11216 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(7070(a,1),11215(a,1,2)),flip(a)]. given #10135 (H,wt=22): 11217 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(273,a,7,a(flip),b,11216,a),flip(a)]. given #10136 (H,wt=22): 11218 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5423,a,11217,a)]. given #10137 (H,wt=31): 11199 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11196(a,1),5081(a,1,1,2))]. given #10138 (H,wt=28): 11221 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5822(a,1),11199(a,1,1))]. given #10139 (H,wt=28): 11222 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(62,a,27,a,b,11221,a)]. given #10140 (H,wt=25): 11223 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5081(a,1),11222(a,1,1)),flip(a)]. given #10141 (H,wt=25): 11224 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(273,a,29,a(flip),b,11223,a),flip(a)]. given #10142 (H,wt=31): 11219 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(6079(a,1),11218(a,1,2,2))]. given #10143 (H,wt=28): 11226 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7957(a,1),11219(a,1,1))]. given #10144 (H,wt=24): 11227 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5111(a,2),11226(a,1,2))]. given #10145 (H,wt=24): 11229 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6220(a,1),11227(a,1,1))]. given #10146 (H,wt=20): 11230 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(273,a,7628,a(flip),b,11229,a),flip(a)]. given #10147 (H,wt=20): 11231 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2227,a,11230,a)]. given #10148 (H,wt=32): 10951 K(L(x * (y \ z),x \ 1,y) \ u,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u),x). [para(1016(a,1),10948(a,1,1,2,1)),flip(a)]. given #10149 (H,wt=26): 11233 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(273,a,10947,a(flip),b,10951,a),flip(a)]. given #10150 (H,wt=24): 11234 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(273,a,6485,a(flip),b,11233,a),flip(a)]. given #10151 (H,wt=17): 11235 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(62,a,10205,a(flip),b,11234,a),flip(a)]. given #10152 (H,wt=23): 11237 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1129(a,1),11235(a,1,1))]. given #10153 (H,wt=32): 11044 T(x,L(x * (y \ z),x \ 1,y) \ u) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u)). [para(1016(a,1),11043(a,1,2,2,1)),flip(a)]. given #10154 (H,wt=26): 11238 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(273,a,11041,a(flip),b,11044,a),flip(a)]. given #10155 (H,wt=24): 11239 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(273,a,6674,a(flip),b,11238,a),flip(a)]. given #10156 (H,wt=17): 11240 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(62,a,10208,a(flip),b,11239,a),flip(a)]. given #10157 (H,wt=32): 11192 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(11189(a,1),8750(a,2,2))]. given #10158 (H,wt=30): 11242 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6587(a,1),11192(a,1,2))]. given #10159 (H,wt=30): 11243 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(62,a,9376,a(flip),b,11242,a)]. given #10160 (H,wt=32): 11220 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(9376(a,1),11218(a,1,1))]. given #10161 (H,wt=32): 11244 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7460(a,2),11220(a,1,2,2,1))]. given #10162 (H,wt=32): 11245 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5388(a,1),11244(a,1,2))]. given #10163 (H,wt=33): 10977 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(7410(a,1),10960(a,2,2))]. given #10164 (H,wt=33): 11187 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5388(a,1),11169(a,1,1))]. given #10165 (H,wt=33): 11247 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(6153(a,1),10977(a,1,1,2))]. given #10166 (H,wt=29): 11248 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8791(a,1),11247(a,1,2))]. given #10167 (H,wt=29): 11249 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(8440(a,1),11248(a,1,2))]. given #10168 (H,wt=31): 11251 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(11249(a,1),7946(a,1,2,2))]. given #10169 (H,wt=27): 11252 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(62,a,7927,a(flip),b,11251,a),flip(a)]. given #10170 (H,wt=23): 11254 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(273,a,7936,a(flip),b,11252,a),flip(a)]. given #10171 (H,wt=27): 11256 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(62,a,8144,a(flip),b,11254,a),flip(a)]. given #10172 (H,wt=26): 11257 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(9005(a,1),11256(a,1,2,2))]. given #10173 (H,wt=17): 11258 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(62,a,7948,a(flip),b,11257,a),flip(a)]. given #10174 (H,wt=17): 11260 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(62,a,6036,a(flip),b,11258,a)]. given #10175 (H,wt=34): 8398 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8353(a,2),5324(a,2,1,2))]. given #10176 (H,wt=34): 8986 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(8428(a,2),5275(a,1,1))]. given #10177 (H,wt=30): 11262 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(9336(a,1),8986(a,1,1,1,1))]. given #10178 (H,wt=22): 11263 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(8428(a,1),11262(a,1,1)),flip(a)]. given #10179 (H,wt=24): 11264 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(62,a,7264,a,b,11263,a),flip(a)]. given #10180 (H,wt=22): 11265 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(273,a,6485,a(flip),b,11264,a),flip(a)]. given #10181 (H,wt=19): 11266 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(273,a,10355,a(flip),b,11265,a),flip(a)]. given #10182 (H,wt=20): 11267 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(62,a,11263,a,b,11266,a)]. given #10183 (H,wt=20): 11268 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(273,a,7516,a(flip),b,11267,a),flip(a)]. given #10184 (H,wt=17): 11269 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(273,a,11020,a(flip),b,11268,a),flip(a)]. given #10185 (H,wt=20): 11270 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11268(a,2),11022(a,1))]. given #10186 (H,wt=34): 9580 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) != v6 | K(R(L(x,u,w),y,z),v5 \ L(x,u,w)) = v6. [para(29(a,1),9579(a,1,1))]. given #10187 (H,wt=31): 11272 K(R(x,y,z),L(x,u,x) * (w \ 1)) != v5 | K(R(L(x,u,x),y,z),w \ L(x,u,x)) = v5. [para(10755(a,1),9580(a,1))]. given #10188 (H,wt=34): 10100 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4180(a,1),10097(a,2,2,2,2))]. given #10189 (H,wt=28): 11273 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(273,a,11132,a(flip),b,10100,a),flip(a)]. given #10190 (H,wt=28): 11274 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4785(a,1),11273(a,2,2))]. given #10191 (H,wt=26): 11275 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(273,a,8914,a(flip),b,11274,a),flip(a)]. given #10192 (H,wt=24): 11276 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(273,a,8902,a(flip),b,11275,a),flip(a)]. given #10193 (H,wt=15): 11277 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(11038,a,11276,a),flip(a)]. given #10194 (H,wt=15): 11280 K(x,x \ T(x * y,z)) = K(x,T(y,z)). [para(9(a,1),11277(a,1,2,1)),flip(a)]. given #10195 (H,wt=15): 11282 K(x,T(y,z) / x) = K(x,T(y / x,z)). [para(4891(a,1),11280(a,1,2))]. given #10196 (H,wt=15): 11283 K(x,T(y,x / y) / x) = K(x,y / x). [hyper(273,a,3640,a(flip),b,11282,a),flip(a)]. given #10197 (H,wt=17): 11281 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(11277(a,2),5163(a,2,2)),flip(a)]. given #10198 (H,wt=15): 11285 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(5167,a,11281,a)]. given #10199 (H,wt=19): 11279 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(273,a,4938,a,b,11277,a)]. given #10200 (H,wt=21): 11284 K(x,y / x) * T(y,x / y) = x * (T(y,x / y) / x). [para(11283(a,1),5300(a,1,1))]. given #10201 (H,wt=34): 10223 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2059(a,2),9981(a,2,2,1,2))]. given #10202 (H,wt=32): 11287 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(10135(a,1),10223(a,1,1))]. given #10203 (H,wt=27): 11288 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(9780,a,11287,a),flip(a)]. given #10204 (H,wt=21): 11289 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2059(a,1),11288(a,1,2,1,2))]. given #10205 (H,wt=21): 11290 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(62,a,10881,a(flip),b,11289,a)]. given #10206 (H,wt=21): 11291 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,10381,a(flip),b,11290,a),flip(a)]. given #10207 (H,wt=34): 10505 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(6264(a,1),10480(a,1,1))]. given #10208 (H,wt=30): 11293 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(6168(a,1),10505(a,1,2))]. given #10209 (H,wt=26): 11294 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(6264(a,1),11293(a,2,3))]. given #10210 (H,wt=34): 10846 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5518(a,1),10845(a,1,2))]. given #10211 (H,wt=34): 11100 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5315(a,1),11098(a,2,2))]. given #10212 (H,wt=28): 11296 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(5134(a,1),11100(a,1,1)),flip(a)]. given #10213 (H,wt=22): 11297 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(5134(a,1),11296(a,2,2,1))]. given #10214 (H,wt=34): 11261 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8443(a,1),8398(a,1,1,2))]. given #10215 (H,wt=32): 11298 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8521(a,1),11261(a,1,1,2))]. given #10216 (H,wt=32): 11299 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5626(a,1),11298(a,1,1,2,2))]. given #10217 (H,wt=32): 11300 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8458(a,1),11299(a,1,1,2))]. given #10218 (H,wt=30): 11301 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(8436(a,1),11300(a,1,1,2)),flip(a)]. given #10219 (H,wt=28): 11302 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4623(a,1),11301(a,1,1,2)),flip(a)]. given #10220 (H,wt=24): 11303 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(9047(a,1),11302(a,1,1)),flip(a)]. given #10221 (H,wt=22): 11304 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(62,a,6322,a(flip),b,11303,a),flip(a)]. given #10222 (H,wt=34): 11295 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5800,a,10846,a)]. given #10223 (H,wt=34): 11305 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [para(7501(a,1),11295(a,1,1))]. given #10224 (H,wt=35): 8253 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [hyper(62,a,5381,a,b,8224,a)]. given #10225 (H,wt=35): 8733 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(8604(a,1),7483(a,1,2,1,2))]. given #10226 (H,wt=31): 11307 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(74(a,1),8733(a,1,2,1)),flip(a)]. given #10227 (H,wt=31): 11309 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(7460(a,2),11307(a,2,2))]. given #10228 (H,wt=31): 11310 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(273,a,7526,a(flip),b,11309,a),flip(a)]. given #10229 (H,wt=25): 11311 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(62,a,8810,a(flip),b,11310,a),flip(a)]. given #10230 (H,wt=23): 11313 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y,K(z,T(x,u))). [hyper(273,a,9331,a(flip),b,11311,a),flip(a)]. given #10231 (H,wt=35): 8970 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(8966(a,1),6112(a,1,1)),flip(a)]. given #10232 (H,wt=35): 8973 K(T(x,y) \ z,T(T(T(x,z),y) * (T(x,y) \ z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [para(8307(a,1),6728(a,2,2,1))]. given #10233 (H,wt=31): 11315 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z * K(T(x,y),z),u)). [para(6012(a,1),8973(a,1,2,1)),flip(a)]. given #10234 (H,wt=29): 11316 K(T(T(x,y) \ z,T(x,y)),T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [hyper(273,a,8583,a(flip),b,11315,a)]. given #10235 (H,wt=25): 11317 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z,u)). [hyper(62,a,6020,a(flip),b,11316,a),flip(a)]. given #10236 (H,wt=31): 11318 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(T(x,y) \ z,z),u) / T(z,u). [hyper(273,a,5734,a,b,11317,a),flip(a)]. given #10237 (H,wt=35): 9192 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9183(a,1),9031(a,1,2))]. given #10238 (H,wt=35): 9341 K(((x * (y * x)) / x) / y,z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). [para(1475(a,1),9026(a,1,2,1,2))]. given #10239 (H,wt=30): 11320 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,y * x)) / z). [para(4355(a,1),9341(a,1,1,1)),flip(a)]. given #10240 (H,wt=30): 11321 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,x * y)) / z). [para(4300(a,1),11320(a,2,2,1,2))]. given #10241 (H,wt=30): 11322 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). [para(422(a,1),11321(a,2,2))]. given #10242 (H,wt=25): 11323 K(L(x,y,x),z) * T((z * x) / z,x * y) = T(L(x,y,x),T(y,z)). [para(4355(a,1),11322(a,1,1)),flip(a)]. given #10243 (H,wt=25): 11324 K(L(x,y,x),z) * T((z * x) / z,x * y) = L(T(x,T(y,z)),y,x). [hyper(273,a,25,a,b,11323,a),flip(a)]. given #10244 (H,wt=22): 11325 L(T(x,T(y,z)),y,x) = K(x,z) * T((z * x) / z,x * y). [para(9863(a,1),11324(a,1,1)),flip(a)]. given #10245 (H,wt=16): 11326 L(T(x,T(y,z)),y,x) = T(x,T(x * y,z)). [hyper(273,a,9024,a(flip),b,11325,a),flip(a)]. given #10246 (H,wt=22): 11328 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z)). [para(23(a,1),11326(a,1,1,2))]. given #10247 (H,wt=24): 11329 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z * y)). [para(9996(a,1),11326(a,1,1))]. given #10248 (H,wt=21): 11330 T(x,T(x * T(y,z),u * y)) = T(x,T(x * T(y,z),u)). [hyper(62,a,11328,a(flip),b,11329,a),flip(a)]. given #10249 (H,wt=23): 11331 K(x,T(x * T(y,z),u * y)) = x \ T(x,T(x * T(y,z),u)). [hyper(115,a,11330,a(flip),b,5163,a(flip)),flip(a)]. given #10250 (H,wt=21): 11332 K(x,T(x * T(y,z),u * y)) = K(x,T(x * T(y,z),u)). [hyper(273,a,5111,a,b,11331,a),flip(a)]. given #10251 (H,wt=35): 9364 K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(2600(a,2),9361(a,2,2))]. given #10252 (H,wt=31): 11333 K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(5706(a,1),9364(a,1,1,2))]. given #10253 (H,wt=29): 11334 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(9327(a,1),11333(a,1,1))]. given #10254 (H,wt=19): 11335 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(33,a,10695,a(flip),b,11334,a),flip(a)]. given #10255 (H,wt=15): 11337 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(62,a,3653,a(flip),b,11335,a)]. given #10256 (H,wt=32): 11336 K(x,1 / (1 / (y \ (y / z)))) != K(y,K(x,z)) * u | K(x,(y / (1 / (1 / z))) / y) = u. [para(11334(a,1),42(a,1))]. given #10257 (H,wt=35): 9492 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5696(a,1),9476(a,1,1))]. given #10258 (H,wt=35): 9522 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3093(a,1),9517(a,1,1))]. given #10259 (H,wt=35): 9677 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(62,a,5933,a(flip),b,9653,a),flip(a)]. given #10260 (H,wt=35): 9757 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6447(a,1),9755(a,2,1))]. given #10261 (H,wt=32): 11344 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(9143,a,9757,a(flip)),flip(a)]. given #10262 (H,wt=27): 11345 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(160(a,1),11344(a,2,1,2))]. given #10263 (H,wt=13): 11346 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1263(a,1),11345(a,1,2)),flip(a)]. given #10264 (H,wt=10): 11349 L(K(x,y),y,z) = K(x,y). [para(320(a,1),11346(a,1,2))]. given #10265 (H,wt=8): 11357 a(x,y,K(z,y)) = 1. [hyper(52,a,11349,a)]. given #10266 (H,wt=10): 11361 a(x,T(y,z),K(u,y)) = 1. [para(8542(a,1),11357(a,1,3))]. given #10267 (H,wt=12): 11362 L(K(x,y),T(y,z),u) = K(x,y). [hyper(51,a,11361,a)]. given #10268 (H,wt=14): 11351 K(L(x,y,z),y * x) = K(x,y * x). [hyper(11039,a,11349,a)]. given #10269 (H,wt=14): 11352 K(L(x,y,z),x * y) = K(x,x * y). [hyper(9530,a,11349,a)]. given #10270 (H,wt=14): 11353 L(K(x,y),y,z) = K(x,y * K(x,u)). [hyper(273,a,7898,a,b,11349,a),flip(a)]. given #10271 (H,wt=13): 11368 L(K(x,y),y,z) != u | K(x,y) = u. [para(11353(a,2),7908(a,1))]. given #10272 (H,wt=14): 11366 K(L(x,y,z),y * x) = K(x,x * y). [hyper(273,a,6724,a(flip),b,11351,a),flip(a)]. given #10273 (H,wt=14): 11372 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(62,a,11203,a(flip),b,11366,a)]. given #10274 (H,wt=15): 11356 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(62,a,7116,a(flip),b,11349,a),flip(a)]. given #10275 (H,wt=15): 11359 (x * y) * K(z,y) = x * (y * K(z,y)). [para(11349(a,1),94(a,1,2))]. given #10276 (H,wt=8): 11376 R(x,y,K(z,y)) = x. [hyper(478,a,11359,a)]. given #10277 (H,wt=10): 11380 R(x,y,K(z,T(y,u))) = x. [para(7501(a,1),11376(a,1,3))]. given #10278 (H,wt=10): 11381 R(x,T(y,z),K(u,y)) = x. [para(8542(a,1),11376(a,1,3))]. given #10279 (H,wt=13): 11384 R(x,T(y,z),K(u,y)) != w | x = w. [para(11381(a,1),50(a,2))]. given #10280 (H,wt=15): 11360 (x / y) * (y * K(z,y)) = x * K(z,y). [para(11349(a,1),438(a,1,2)),flip(a)]. given #10281 (H,wt=15): 11385 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(11360(a,1),7192(a,1,1))]. given #10282 (H,wt=12): 11386 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(697,a,11385,a)]. given #10283 (H,wt=8): 11389 L(x,K(y,x),z) = x. [para(3203(a,1),11386(a,1,1))]. given #10284 (H,wt=14): 11390 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(11389(a,1),29(a,1,1)),flip(a)]. given #10285 (H,wt=14): 11391 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(11389(a,1),30(a,1,1)),flip(a)]. given #10286 (H,wt=15): 11387 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(131,a,11385,a)]. given #10287 (H,wt=16): 11354 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(273,a,6574,a,b,11349,a),flip(a)]. given #10288 (H,wt=16): 11358 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(11349(a,1),30(a,1,1)),flip(a)]. given #10289 (H,wt=16): 11402 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(11354(a,1),3803(a,1)),flip(b)]. given #10290 (H,wt=17): 11365 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(115,a,11362,a(flip),b,2711,a)]. given #10291 (H,wt=17): 11367 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(11351(a,2),7933(a,1))]. given #10292 (H,wt=17): 11369 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(7107(a,1),11368(a,1))]. given #10293 (H,wt=17): 11399 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6425(a,1),11387(a,1,1)),flip(a)]. given #10294 (H,wt=18): 11364 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(62,a,5649,a,b,11362,a)]. given #10295 (H,wt=18): 11370 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7116(a,1),11368(a,1))]. given #10296 (H,wt=18): 11388 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(11385(a,1),225(a,1,2))]. given #10297 (H,wt=18): 11403 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(273,a,7121,a(flip),b,11358,a),flip(a)]. given #10298 (H,wt=16): 11408 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7121(a,1),11403(a,1,1))]. given #10299 (H,wt=19): 11347 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(62,a,7139,a(flip),b,11346,a)]. given #10300 (H,wt=19): 11382 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(11380(a,1),104(a,1,1)),flip(a)]. given #10301 (H,wt=14): 11411 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(450,a,11382,a)]. given #10302 (H,wt=17): 11412 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(62,a,9684,a(flip),b,11411,a)]. given #10303 (H,wt=16): 11418 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(11412(a,1),8862(a,1))]. given #10304 (H,wt=16): 11419 T(K(x,y \ z),z) != u | K(x,z / y) = u. [para(7460(a,1),11418(a,1))]. given #10305 (H,wt=17): 11417 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(9(a,1),11412(a,1,2,1,1)),flip(a)]. given #10306 (H,wt=19): 11383 (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). [hyper(62,a,8242,a(flip),b,11381,a),flip(a)]. given #10307 (H,wt=19): 11392 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(11389(a,1),447(a,1,2,1))]. given #10308 (H,wt=10): 11421 R(x,K(y,z),T(z,u)) = x. [hyper(478,a,11392,a)]. given #10309 (H,wt=19): 11410 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(7175,a,11382,a),flip(a)]. given #10310 (H,wt=19): 11413 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(62,a,7114,a(flip),b,11411,a)]. given #10311 (H,wt=19): 11420 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [hyper(62,a,9547,a(flip),b,11383,a),flip(a)]. given #10312 (H,wt=19): 11422 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(62,a,8257,a(flip),b,11421,a)]. given #10313 (H,wt=19): 11423 (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). [para(11421(a,1),8243(a,1,1))]. given #10314 (H,wt=20): 11371 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(62,a,10908,a,b,11366,a)]. given #10315 (H,wt=20): 11401 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(108(a,1),11354(a,2,2,1,1))]. given #10316 (H,wt=20): 11405 (x * y) * (z * K(y,z)) != u * z | x * T(y,z) = u. [para(11399(a,2),43(a,1))]. given #10317 (H,wt=20): 11427 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(62,a,6382,a,b,11401,a)]. given #10318 (H,wt=21): 11348 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(62,a,7116,a(flip),b,11346,a),flip(a)]. given #10319 (H,wt=21): 11397 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(62,a,9518,a(flip),b,11387,a),flip(a)]. given #10320 (H,wt=21): 11409 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(62,a,7116,a(flip),b,11408,a),flip(a)]. given #10321 (H,wt=21): 11424 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(273,a,9499,a,b,11420,a)]. given #10322 (H,wt=20): 11431 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(5642(a,1),11424(a,2,2))]. given #10323 (H,wt=21): 11425 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3326(a,1),11422(a,1,2)),flip(a)]. given #10324 (H,wt=21): 11430 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(273,a,11392,a(flip),b,11397,a),flip(a)]. given #10325 (H,wt=21): 11433 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3210(a,2),11430(a,2,2))]. given #10326 (H,wt=22): 11374 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(11372(a,1),7107(a,1,1))]. given #10327 (H,wt=20): 11434 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(11039,a,11374,a),flip(a)]. given #10328 (H,wt=17): 11435 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(11434(a,1),11371(a,1,1))]. given #10329 (H,wt=14): 11436 L(K(x,x * y),y,z) = K(x,x * y). [para(11352(a,1),11435(a,1,1))]. given #10330 (H,wt=15): 11438 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(62,a,10906,a(flip),b,11436,a)]. given #10331 (H,wt=15): 11443 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(7160,a,11438,a)]. given #10332 (H,wt=15): 11444 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(7143,a,11438,a),flip(a)]. given #10333 (H,wt=15): 11447 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(62,a,9195,a(flip),b,11438,a)]. given #10334 (H,wt=15): 11448 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(62,a,9194,a(flip),b,11438,a),flip(a)]. given #10335 (H,wt=16): 11439 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(11436(a,2),5370(a,1,2))]. given #10336 (H,wt=14): 11454 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6282,a,11439,a)]. given #10337 (H,wt=14): 11457 L(K(x * y,y),x,z) = K(y * x,y). [para(5626(a,2),11454(a,1,1))]. given #10338 (H,wt=14): 11458 L(K(x * y,y),x,z) = K(x * y,y). [hyper(273,a,5626,a,b,11457,a),flip(a)]. given #10339 (H,wt=15): 11456 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(62,a,10902,a(flip),b,11454,a)]. given #10340 (H,wt=15): 11461 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(11370,a,11456,a)]. given #10341 (H,wt=15): 11463 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(9967,a,11456,a)]. given #10342 (H,wt=15): 11464 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(9966,a,11456,a),flip(a)]. given #10343 (H,wt=15): 11466 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(62,a,9979,a,b,11456,a)]. given #10344 (H,wt=15): 11467 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(62,a,7963,a(flip),b,11456,a),flip(a)]. given #10345 (H,wt=15): 11470 K(x * ((y * z) \ y),x) = K(z \ x,x). [para(9(a,1),11461(a,1,1,1)),flip(a)]. given #10346 (H,wt=16): 11472 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(11463(a,1),6696(a,1))]. given #10347 (H,wt=16): 11473 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(192(a,2),11470(a,1,1,2))]. given #10348 (H,wt=16): 11474 K(x * y,x) != z | K((1 / y) \ x,x) = z. [para(77(a,1),11472(a,1,1,2))]. given #10349 (H,wt=16): 11475 K(x * y,x) != z | K((y \ 1) \ x,x) = z. [para(5668(a,1),11472(a,1))]. given #10350 (H,wt=17): 11446 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(62,a,10883,a,b,11438,a)]. given #10351 (H,wt=17): 11452 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [para(11438(a,2),8436(a,1,2))]. given #10352 (H,wt=17): 11459 (1 / x) \ K(x * y,y) = x * K(x * y,y). [hyper(115,a,11458,a(flip),b,2711,a)]. given #10353 (H,wt=17): 11460 L(K(x * y,y),x,z) != u | K(y * x,y) = u. [para(11458(a,2),5627(a,1))]. given #10354 (H,wt=17): 11479 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(5626(a,1),11459(a,2,2))]. given #10355 (H,wt=17): 11480 L(K(x * y,x),y,z) != u | K(x * y,x) = u. [para(5626(a,1),11460(a,1,1))]. given #10356 (H,wt=18): 11451 K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. [para(11438(a,1),7143(a,1))]. given #10357 (H,wt=18): 11469 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(11456(a,1),9966(a,1))]. given #10358 (H,wt=19): 11441 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10891,a,11438,a)]. given #10359 (H,wt=19): 11442 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10886,a,11438,a)]. given #10360 (H,wt=19): 11462 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10899,a,11456,a)]. given #10361 (H,wt=19): 11476 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(11446(a,1),5163(a,2,2))]. given #10362 (H,wt=17): 11482 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(273,a,5163,a,b,11476,a),flip(a)]. given #10363 (H,wt=20): 11483 T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. [para(11476(a,2),5167(a,1))]. given #10364 (H,wt=21): 11449 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1129(a,1),11438(a,1,2))]. given #10365 (H,wt=21): 11453 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6867(a,2),11443(a,1,2,1))]. given #10366 (H,wt=21): 11455 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(9141(a,2),11439(a,1,2))]. given #10367 (H,wt=22): 11393 (x * K(y,z)) * T(z,u) != w | x * (K(y,z) * T(z,u)) = w. [para(11389(a,1),736(a,1,2,1))]. given #10368 (H,wt=22): 11406 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(11399(a,1),5566(a,1,1))]. given #10369 (H,wt=15): 11487 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(482,a,11406,a),flip(a)]. given #10370 (H,wt=19): 11488 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8463(a,1),11487(a,1,3)),flip(a)]. given #10371 (H,wt=15): 11489 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(273,a,10959,a(flip),b,11488,a),flip(a)]. given #10372 (H,wt=22): 11471 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(18(a,2),11461(a,1,1,1)),flip(a)]. given #10373 (H,wt=23): 11400 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(11387(a,1),6519(a,1,1))]. given #10374 (H,wt=23): 11429 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(62,a,6917,a(flip),b,11427,a)]. given #10375 (H,wt=21): 11492 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(6696,a,11429,a),flip(a)]. given #10376 (H,wt=19): 11494 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(6570,a,11492,a),flip(a)]. given #10377 (H,wt=17): 11495 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(22(a,2),11494(a,2,2))]. given #10378 (H,wt=17): 11496 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(12(a,1),11495(a,1,1,1)),flip(a)]. given #10379 (H,wt=17): 11497 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(273,a,7964,a,b,11496,a),flip(a)]. given #10380 (H,wt=19): 11498 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(74(a,1),11497(a,1,1,1)),flip(a)]. given #10381 (H,wt=17): 11499 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(273,a,9543,a(flip),b,11498,a),flip(a)]. given #10382 (H,wt=21): 11500 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(62,a,9978,a(flip),b,11499,a),flip(a)]. given #10383 (H,wt=19): 11501 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(11418,a,11500,a),flip(a)]. given #10384 (H,wt=23): 11432 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(11425(a,1),3857(a,1,1)),flip(a)]. given #10385 (H,wt=23): 11450 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(11438(a,1),7107(a,1,1))]. given #10386 (H,wt=21): 11504 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(11039,a,11450,a),flip(a)]. given #10387 (H,wt=21): 11505 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9800,a,11504,a)]. given #10388 (H,wt=23): 11477 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1061(a,1),11452(a,1,2,2))]. given #10389 (H,wt=23): 11491 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(9093(a,1),11489(a,1,2))]. given #10390 (H,wt=23): 11507 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,R(z,u,w) \ z)). [hyper(273,a,8763,a,b,11477,a),flip(a)]. given #10391 (H,wt=23): 11509 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7460(a,2),11491(a,1,2))]. given #10392 (H,wt=24): 11363 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(62,a,9126,a,b,11362,a)]. given #10393 (H,wt=24): 11506 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(62,a,10866,a(flip),b,11505,a),flip(a)]. given #10394 (H,wt=25): 11350 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(11346(a,1),9132(a,1,1,2)),flip(a)]. given #10395 (H,wt=13): 11512 L(K(x,y),L(x,z,u),w) = K(x,y). [hyper(273,a,8227,a(flip),b,11350,a),flip(a)]. given #10396 (H,wt=21): 11513 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [hyper(62,a,7132,a(flip),b,11512,a),flip(a)]. given #10397 (H,wt=25): 11375 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(11356(a,1),8864(a,1,1,1,2))]. given #10398 (H,wt=25): 11485 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(273,a,8535,a,b,11455,a)]. given #10399 (H,wt=25): 11493 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(62,a,10290,a,b,11429,a)]. given #10400 (H,wt=23): 11516 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(6696,a,11493,a)]. given #10401 (H,wt=21): 11517 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(273,a,6569,a(flip),b,11516,a),flip(a)]. given #10402 (H,wt=19): 11518 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(22(a,2),11517(a,2,2))]. given #10403 (H,wt=25): 11502 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(115,a,11501,a(flip),b,5110,a(flip))]. given #10404 (H,wt=26): 11508 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(11477(a,2),9438(a,1))]. given #10405 (H,wt=27): 11415 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(62,a,9892,a,b,11412,a)]. given #10406 (H,wt=25): 11520 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(62,a,11412,a(flip),b,11415,a)]. given #10407 (H,wt=27): 11519 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(11502(a,1),9048(a,1,1))]. given #10408 (H,wt=19): 11521 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(5532,a,11519,a),flip(a)]. given #10409 (H,wt=27): 11522 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(77(a,1),11521(a,2,2))]. given #10410 (H,wt=28): 11468 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11456(a,1),5829(a,1,1,1,2))]. given #10411 (H,wt=21): 11523 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(5832,a,11468,a),flip(a)]. given #10412 (H,wt=21): 11524 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(62,a,11409,a,b,11523,a)]. given #10413 (H,wt=28): 11484 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(62,a,10192,a,b,11453,a)]. given #10414 (H,wt=28): 11510 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(11509(a,1),10622(a,2,1))]. given #10415 (H,wt=27): 11526 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(273,a,10347,a(flip),b,11510,a),flip(a)]. given #10416 (H,wt=27): 11527 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7501(a,1),11526(a,1,1,2))]. given #10417 (H,wt=25): 11528 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8548(a,1),11527(a,1,2))]. given #10418 (H,wt=28): 11525 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1061(a,1),11484(a,1,2,1))]. given #10419 (H,wt=23): 11530 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(159(a,1),11525(a,1,2,2))]. given #10420 (H,wt=29): 11404 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(11365(a,1),2946(a,2,2))]. given #10421 (H,wt=21): 11531 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(273,a,9,a(flip),b,11404,a),flip(a)]. given #10422 (H,wt=21): 11533 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(131,a,11531,a)]. given #10423 (H,wt=21): 11534 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(11533(a,1),6948(a,1,2))]. given #10424 (H,wt=29): 11416 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(62,a,6220,a,b,11412,a)]. given #10425 (H,wt=27): 11535 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(62,a,11412,a(flip),b,11416,a),flip(a)]. given #10426 (H,wt=25): 11536 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(62,a,11520,a(flip),b,11535,a),flip(a)]. given #10427 (H,wt=23): 11537 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(273,a,8559,a(flip),b,11536,a),flip(a)]. given #10428 (H,wt=21): 11538 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(9406,a,11537,a)]. given #10429 (H,wt=21): 11539 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(62,a,7949,a,b,11538,a)]. given #10430 (H,wt=29): 11514 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9831(a,1),11375(a,1,1,1,2))]. given #10431 (H,wt=25): 11540 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(7842(a,1),11514(a,1,1,1,2)),flip(a)]. given #10432 (H,wt=23): 11541 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1974(a,1),11540(a,2,1))]. given #10433 (H,wt=21): 11542 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(273,a,8579,a(flip),b,11541,a),flip(a)]. given #10434 (H,wt=19): 11543 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(7693,a,11542,a)]. given #10435 (H,wt=17): 11544 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(62,a,7649,a(flip),b,11543,a)]. given #10436 (H,wt=17): 11545 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(10(a,1),11544(a,1,2,2,1)),flip(a)]. given #10437 (H,wt=17): 11547 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(4884(a,1),11544(a,1,2)),flip(a)]. given #10438 (H,wt=17): 11549 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(62,a,9985,a(flip),b,11545,a)]. given #10439 (H,wt=17): 11551 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(10(a,1),11549(a,1,2,2,2)),flip(a)]. given #10440 (H,wt=20): 11550 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(62,a,10801,a(flip),b,11549,a),flip(a)]. given #10441 (H,wt=16): 11552 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(9(a,1),11550(a,1,2,2))]. given #10442 (H,wt=19): 11553 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(62,a,7638,a(flip),b,11552,a)]. given #10443 (H,wt=17): 11557 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(273,a,7593,a(flip),b,11553,a),flip(a)]. given #10444 (H,wt=17): 11558 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(12(a,1),11557(a,1,2,2,1)),flip(a)]. given #10445 (H,wt=19): 11559 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(11558(a,1),5163(a,2,2))]. given #10446 (H,wt=17): 11560 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(273,a,5163,a,b,11559,a),flip(a)]. given #10447 (H,wt=21): 11548 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(273,a,8676,a,b,11545,a)]. given #10448 (H,wt=17): 11561 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(33,a,8676,a,b,11548,a)]. given #10449 (H,wt=17): 11562 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(9438,a,11561,a)]. given #10450 (H,wt=17): 11563 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(62,a,8817,a,b,11561,a)]. given #10451 (H,wt=17): 11565 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(62,a,9308,a(flip),b,11563,a)]. given #10452 (H,wt=19): 11564 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(62,a,10143,a,b,11562,a)]. given #10453 (H,wt=19): 11567 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(9428,a,11564,a)]. given #10454 (H,wt=22): 11546 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(14(a,2),11544(a,1,2,2)),flip(a)]. given #10455 (H,wt=21): 11568 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(585(a,1),11546(a,1,2,2))]. given #10456 (H,wt=12): 11569 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(9409,a,11568,a),flip(a)]. given #10457 (H,wt=14): 11572 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(11569(a,1),5163(a,2,2))]. given #10458 (H,wt=12): 11573 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(273,a,5163,a,b,11572,a),flip(a)]. given #10459 (H,wt=17): 11570 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(9406,a,11569,a)]. given #10460 (H,wt=23): 11566 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(11565(a,1),8764(a,1,2)),flip(a)]. given #10461 (H,wt=19): 11576 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(273,a,8424,a(flip),b,11566,a),flip(a)]. given #10462 (H,wt=17): 11577 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8943,a,11576,a)]. given #10463 (H,wt=17): 11578 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(12(a,1),11577(a,1,2,2)),flip(a)]. given #10464 (H,wt=23): 11575 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(62,a,10171,a(flip),b,11570,a),flip(a)]. given #10465 (H,wt=28): 11574 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(11573(a,1),9065(a,1,1,1))]. given #10466 (H,wt=15): 11580 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(62,a,7545,a(flip),b,11574,a)]. given #10467 (H,wt=23): 11581 K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)) = K(a(x,y,z),x). [hyper(62,a,11190,a,b,11580,a)]. given #10468 (H,wt=8): 11582 K(a(x,y,z),x) = 1. [hyper(11182,a,11581,a),flip(a)]. given #10469 (H,wt=11): 11585 T(a(x,y,z),x) = a(x,y,z). [hyper(55,a,11582,a)]. given #10470 (H,wt=8): 11586 T(x,a(x,y,z)) = x. [hyper(53,a,11585,a)]. given #10471 (H,wt=13): 11587 a(x,y,z) * x = x * a(x,y,z). [para(11585(a,1),108(a,1,2)),flip(a)]. given #10472 (H,wt=17): 11588 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(4026(a,2),11585(a,1,1))]. given #10473 (H,wt=19): 11589 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(11586(a,1),210(a,1,2,1)),flip(a)]. given #10474 (H,wt=24): 11591 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(62,a,10506,a(flip),b,11587,a),flip(a)]. given #10475 (H,wt=21): 11593 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(11591(a,1),10507(a,1,2,2))]. given #10476 (H,wt=21): 11594 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(62,a,5708,a(flip),b,11593,a)]. given #10477 (H,wt=21): 11595 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(62,a,10465,a,b,11594,a)]. given #10478 (H,wt=29): 11515 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(8498(a,2),11485(a,1,1))]. given #10479 (H,wt=29): 11596 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(62,a,7746,a(flip),b,11515,a),flip(a)]. given #10480 (H,wt=30): 11579 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(11578(a,1),5164(a,1,2,1))]. given #10481 (H,wt=23): 11598 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5455,a,11579,a),flip(a)]. given #10482 (H,wt=23): 11599 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(273,a,9053,a(flip),b,11598,a),flip(a)]. given #10483 (H,wt=23): 11600 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(9450,a,11599,a)]. given #10484 (H,wt=23): 11601 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(8014(a,1),11600(a,1,2))]. given #10485 (H,wt=32): 11478 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(11459(a,2),206(a,1,2,2))]. given #10486 (H,wt=30): 11602 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(11479(a,1),11478(a,1,2,2))]. given #10487 (H,wt=28): 11603 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(9200(a,1),11602(a,1,2,2))]. given #10488 (H,wt=26): 11604 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(108(a,1),11603(a,1,2)),flip(a)]. given #10489 (H,wt=32): 11481 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11462(a,1),5830(a,1,1,1,2))]. given #10490 (H,wt=25): 11605 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(8331,a,11481,a),flip(a)]. given #10491 (H,wt=28): 11606 K(L(x,y,z),(u * (x \ w)) \ v5) != v6 | K(L(x,y,z),x * ((u * w) \ v5)) = v6. [para(11481(a,1),8331(a,1))]. given #10492 (H,wt=32): 11597 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(u,K(y,z)) * w | K(y * z,T(y,u)) = w. [para(11596(a,2),42(a,1))]. given #10493 (H,wt=34): 11395 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(11390(a,1),3255(a,1,2,2)),flip(a)]. given #10494 (H,wt=25): 11607 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(273,a,10815,a(flip),b,11395,a),flip(a)]. given #10495 (H,wt=20): 11609 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(5270(a,1),11607(a,2,2,2))]. given #10496 (H,wt=18): 11610 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(178(a,1),11609(a,2,2))]. given #10497 (H,wt=16): 11612 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(273,a,8,a(flip),b,11610,a),flip(a)]. given #10498 (H,wt=11): 11614 R(x,K(y,z),R(z,u,w)) = x. [para(11390(a,1),11612(a,1,3))]. given #10499 (H,wt=14): 11616 R(x,K(y,z),R(z,u,w)) != v5 | x = v5. [para(11614(a,1),50(a,2))]. given #10500 (H,wt=21): 11615 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(62,a,8257,a(flip),b,11614,a)]. given #10501 (H,wt=21): 11618 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7665(a,2),11615(a,1,2))]. given #10502 (H,wt=34): 11396 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(11391(a,1),446(a,1,2,2)),flip(a)]. given #10503 (H,wt=16): 11619 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(273,a,11,a(flip),b,11396,a),flip(a)]. given #10504 (H,wt=11): 11621 R(x,K(y,z),L(z,u,w)) = x. [para(11391(a,1),11619(a,1,3))]. given #10505 (H,wt=13): 11622 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(8542(a,1),11621(a,1,2))]. given #10506 (H,wt=16): 11625 R(x,K(y,z),L(T(z,u),w,v5)) != v6 | x = v6. [para(11622(a,1),50(a,2))]. given #10507 (H,wt=25): 11624 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(62,a,8257,a(flip),b,11622,a)]. given #10508 (H,wt=19): 11626 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(9924(a,1),11624(a,1,2)),flip(a)]. given #10509 (H,wt=23): 11627 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(11626(a,1),10697(a,2,1))]. given #10510 (H,wt=23): 11628 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(273,a,9914,a(flip),b,11627,a),flip(a)]. given #10511 (H,wt=21): 11630 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(9721(a,1),11628(a,1,2,1))]. given #10512 (H,wt=35): 10363 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(518(a,1),10361(a,1,2)),flip(a)]. given #10513 (H,wt=35): 10412 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8854(a,1),10411(a,2,1))]. given #10514 (H,wt=35): 10504 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(273,a,5322,a,b,10487,a)]. given #10515 (H,wt=31): 11633 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(12(a,1),10504(a,2,1))]. given #10516 (H,wt=31): 11634 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(273,a,8295,a,b,11633,a)]. given #10517 (H,wt=35): 10975 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(10969(a,1),9350(a,1,1,1,1))]. given #10518 (H,wt=35): 11062 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(7206(a,1),10941(a,1,2,2,1,2))]. given #10519 (H,wt=32): 11636 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(62,a,11195,a(flip),b,11062,a)]. given #10520 (H,wt=28): 11637 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(11147,a,11636,a)]. given #10521 (H,wt=28): 11638 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(62,a,11442,a(flip),b,11637,a)]. given #10522 (H,wt=26): 11639 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(8(a,1),11638(a,1,2,2,1))]. given #10523 (H,wt=26): 11640 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(273,a,5931,a(flip),b,11639,a),flip(a)]. given #10524 (H,wt=26): 11641 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(273,a,11605,a(flip),b,11640,a),flip(a)]. given #10525 (H,wt=24): 11642 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(8(a,1),11641(a,2,2,2,1))]. given #10526 (H,wt=35): 11246 x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. [para(11245(a,1),43(a,1)),flip(a)]. given #10527 (H,wt=35): 11292 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5825(a,1),11291(a,1,2,1)),flip(a)]. given #10528 (H,wt=35): 11306 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(8224(a,1),8253(a,1,1))]. given #10529 (H,wt=33): 11644 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(5368(a,1),11306(a,1,2,2,1)),flip(a)]. given #10530 (H,wt=25): 11645 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(273,a,9752,a(flip),b,11644,a),flip(a)]. given #10531 (H,wt=25): 11646 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(8238,a,11645,a)]. given #10532 (H,wt=35): 11319 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9193(a,1),9192(a,1,2))]. given #10533 (H,wt=31): 11648 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9(a,1),11319(a,1,2,2,2,1))]. given #10534 (H,wt=23): 11649 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(9573,a,11648,a),flip(a)]. given #10535 (H,wt=25): 11650 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(8953,a,11649,a)]. given #10536 (H,wt=35): 11342 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5388(a,1),9522(a,1,1,1))]. given #10537 (H,wt=31): 11652 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2330(a,1),11342(a,1,1,2)),flip(a)]. given #10538 (H,wt=27): 11653 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7604(a,1),11652(a,2,1))]. given #10539 (H,wt=27): 11654 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(273,a,8056,a,b,11653,a),flip(a)]. given #10540 (H,wt=23): 11655 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2334(a,1),11654(a,1,1,1))]. given #10541 (H,wt=23): 11656 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5388(a,1),11655(a,1,1))]. given #10542 (H,wt=23): 11657 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(273,a,8502,a,b,11656,a),flip(a)]. given #10543 (H,wt=23): 11658 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2226(a,1),11657(a,1,2))]. given #10544 (H,wt=26): 11659 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(11657(a,2),8515(a,1))]. given #10545 (H,wt=35): 11343 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(7100(a,2),9677(a,2,2,2))]. given #10546 (H,wt=23): 11661 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(273,a,7869,a(flip),b,11343,a),flip(a)]. given #10547 (H,wt=19): 11663 K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). [para(3635(a,1),11661(a,1,2,2))]. given #10548 (H,wt=15): 11664 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(3715(a,1),11663(a,1,2,2))]. given #10549 (H,wt=19): 11666 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6613(a,1),11664(a,1,2)),flip(a)]. given #10550 (H,wt=17): 11667 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(273,a,11260,a(flip),b,11666,a),flip(a)]. given #10551 (H,wt=19): 11669 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(62,a,11595,a,b,11667,a)]. given #10552 (H,wt=31): 11671 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(62,a,10363,a,b,11669,a)]. given #10553 (H,wt=30): 11673 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(232(a,1),11671(a,2,2))]. given #10554 (H,wt=26): 11674 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(273,a,9666,a(flip),b,11673,a),flip(a)]. given #10555 (H,wt=21): 11676 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(62,a,9280,a(flip),b,11674,a)]. given #10556 (H,wt=35): 11529 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9569(a,2),11528(a,1,1))]. given #10557 (H,wt=35): 11632 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4512(a,1),10412(a,1,1))]. given #10558 (H,wt=33): 11678 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(8548(a,1),11632(a,1,1,2))]. given #10559 (H,wt=19): 11679 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(10118,a,11678,a),flip(a)]. given #10560 (H,wt=13): 11681 R(K(x,y),L(y,z,u),w) = K(x,y). [para(10149(a,1),11679(a,1,1))]. given #10561 (H,wt=21): 11682 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(62,a,6861,a(flip),b,11681,a)]. given #10562 (H,wt=21): 11684 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(273,a,6543,a(flip),b,11682,a),flip(a)]. given #10563 (H,wt=35): 11635 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3677(a,1),10975(a,1,2,2))]. given #10564 (H,wt=35): 11643 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(273,a,5932,a(flip),b,11292,a),flip(a)]. given #10565 (H,wt=31): 11686 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(74(a,1),11643(a,2,2,1,2))]. given #10566 (H,wt=29): 11688 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6569(a,1),11686(a,1,2,1,1,2,1))]. given #10567 (H,wt=21): 11689 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(62,a,10912,a(flip),b,11688,a),flip(a)]. given #10568 (H,wt=35): 11685 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(8502(a,1),11635(a,1,2))]. given #10569 (H,wt=36): 9020 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(405(a,1),8626(a,1,1,2))]. given #10570 (H,wt=28): 11690 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6795(a,1),9020(a,1,2))]. given #10571 (H,wt=26): 11691 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(62,a,8580,a(flip),b,11690,a)]. given #10572 (H,wt=23): 11692 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(405(a,1),11691(a,2,1,1))]. given #10573 (H,wt=21): 11693 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(62,a,8726,a(flip),b,11692,a)]. given #10574 (H,wt=25): 11694 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(9407,a,11693,a),flip(a)]. given #10575 (H,wt=23): 11695 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(273,a,9691,a(flip),b,11694,a),flip(a)]. given #10576 (H,wt=36): 9340 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * (L(y \ 1,y,x) \ x)) / z). [para(354(a,1),9026(a,1,1,1)),flip(a)]. given #10577 (H,wt=35): 11697 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * T(x * y,1 / y)) / z). [para(6690(a,1),9340(a,2,2,1,2))]. given #10578 (H,wt=35): 11698 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * T((z * (x * y)) / z,1 / y). [para(422(a,1),11697(a,2,2))]. given #10579 (H,wt=27): 11699 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = T(x * y,T(1 / y,z)). [hyper(273,a,9024,a(flip),b,11698,a),flip(a)]. given #10580 (H,wt=18): 11700 T(x * y,T(1 / y,x)) = L(y \ 1,y,x) \ x. [hyper(62,a,4063,a(flip),b,11699,a),flip(a)]. given #10581 (H,wt=17): 11701 T(x * y,T(1 / y,x)) = T(x * y,1 / y). [hyper(273,a,6690,a(flip),b,11700,a),flip(a)]. given #10582 (H,wt=36): 11225 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11224(a,1),2024(a,1,1,1)),flip(a)]. given #10583 (H,wt=29): 11702 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(273,a,2024,a(flip),b,11225,a),flip(a)]. given #10584 (H,wt=29): 11703 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(27(a,2),11702(a,2,3))]. given #10585 (H,wt=37): 8341 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(8233(a,1),861(a,2,1,2))]. given #10586 (H,wt=31): 11704 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(5160(a,1),8341(a,1,2,2,1))]. given #10587 (H,wt=29): 11706 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5963(a,1),11704(a,1,2,2))]. given #10588 (H,wt=27): 11707 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(155,a,11706,a)]. given #10589 (H,wt=25): 11708 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(64(a,1),11707(a,2,1))]. given #10590 (H,wt=19): 11709 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(115,a,3265,a(flip),b,11708,a)]. given #10591 (H,wt=37): 9083 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(8972(a,1),4949(a,1,2,1,2))]. given #10592 (H,wt=29): 11710 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(5602(a,1),9083(a,1,2,1)),flip(a)]. given #10593 (H,wt=23): 11711 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(4913(a,1),11710(a,1,2))]. given #10594 (H,wt=23): 11713 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(62,a,7196,a,b,11711,a)]. given #10595 (H,wt=19): 11715 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(273,a,5599,a(flip),b,11713,a),flip(a)]. given #10596 (H,wt=17): 11716 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(62,a,9035,a(flip),b,11715,a)]. given #10597 (H,wt=17): 11717 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(273,a,11277,a,b,11716,a),flip(a)]. given #10598 (H,wt=23): 11718 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [para(11716(a,1),5163(a,2,2)),flip(a)]. given #10599 (H,wt=21): 11720 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(6487,a,11718,a)]. given #10600 (H,wt=21): 11721 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(5423,a,11720,a)]. given #10601 (H,wt=21): 11722 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(10667(a,2),11721(a,1,2))]. given #10602 (H,wt=21): 11723 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(8219,a,11722,a)]. given #10603 (H,wt=21): 11724 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(8238,a,11723,a)]. given #10604 (H,wt=21): 11725 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(62,a,6458,a(flip),b,11724,a)]. given #10605 (H,wt=23): 11719 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11717(a,1),5173(a,2,1)),flip(a)]. given #10606 (H,wt=19): 11727 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(62,a,9675,a(flip),b,11719,a),flip(a)]. given #10607 (H,wt=23): 11728 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11727(a,2),5906(a,1,2))]. given #10608 (H,wt=19): 11729 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(252,a,11728,a)]. given #10609 (H,wt=22): 11730 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11729(a,1),9570(a,1,1))]. given #10610 (H,wt=25): 11726 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(11(a,1),11725(a,1,2,1,2)),flip(a)]. given #10611 (H,wt=21): 11732 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(11(a,1),11726(a,1,2)),flip(a)]. given #10612 (H,wt=19): 11733 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(62,a,10973,a(flip),b,11732,a),flip(a)]. given #10613 (H,wt=23): 11734 T((x / y) * K(y * (x / y),z),y) = T(x / y,y) * K(x,z). [para(12(a,1),11733(a,2,2,1))]. given #10614 (H,wt=21): 11735 T((x / y) * K(y * (x / y),z),y) = (y \ x) * K(x,z). [para(110(a,1),11734(a,2,1))]. given #10615 (H,wt=23): 11736 T((x / y) * K(x,L(y,z,u)),y) = (y \ x) * K(x,L(y,z,u)). [para(6293(a,1),11735(a,1,1,2))]. given #10616 (H,wt=21): 11737 T(T(x,L(y,z,u)) / y,y) = (y \ x) * K(x,L(y,z,u)). [para(9674(a,1),11736(a,1,1))]. given #10617 (H,wt=19): 11738 (x \ y) * K(y,L(x,z,u)) = x \ T(y,L(x,z,u)). [hyper(383,a,11737,a),flip(a)]. given #10618 (H,wt=26): 11731 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11730(a,1),11634(a,1,1)),flip(a)]. given #10619 (H,wt=24): 11739 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(273,a,9566,a(flip),b,11731,a),flip(a)]. given #10620 (H,wt=17): 11740 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(62,a,5322,a(flip),b,11739,a),flip(a)]. given #10621 (H,wt=21): 11741 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(11(a,1),11740(a,2,1))]. given #10622 (H,wt=19): 11742 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(22(a,2),11741(a,1,3))]. given #10623 (H,wt=26): 11743 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11742(a,1),5264(a,1,2))]. given #10624 (H,wt=37): 9102 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5420(a,1),8257(a,2,2))]. given #10625 (H,wt=37): 9693 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(9366(a,1),443(a,1,2,2))]. given #10626 (H,wt=34): 11745 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(94(a,1),9693(a,1,2)),flip(a)]. given #10627 (H,wt=30): 11746 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(273,a,444,a(flip),b,11745,a)]. given #10628 (H,wt=27): 11747 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(11458(a,1),11746(a,1,1)),flip(a)]. given #10629 (H,wt=19): 11748 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(11480,a,11747,a),flip(a)]. given #10630 (H,wt=36): 11751 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(391(a,1),11748(a,2,1,2))]. given #10631 (H,wt=36): 11752 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(5626(a,1),11751(a,1,1))]. given #10632 (H,wt=31): 11753 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(11473(a,1),11752(a,1,1))]. given #10633 (H,wt=22): 11754 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(355(a,1),11753(a,1,2)),flip(a)]. given #10634 (H,wt=17): 11756 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(62,a,11471,a(flip),b,11754,a),flip(a)]. given #10635 (H,wt=17): 11757 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(6536(a,1),11756(a,1,1)),flip(a)]. given #10636 (H,wt=21): 11759 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(11757(a,1),5201(a,2,2,2))]. given #10637 (H,wt=27): 11758 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [hyper(62,a,7761,a,b,11757,a)]. given #10638 (H,wt=37): 9745 (x * T(y \ T(z,y),u)) / K(T(y \ T(z,y),u),x) = T(x,T(T(y,z) \ z,u)) * T(y \ T(z,y),u). [para(9744(a,2),6470(a,2,1))]. given #10639 (H,wt=37): 9900 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1210(a,1),9831(a,1,1,1)),flip(a)]. given #10640 (H,wt=35): 11761 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(273,a,6571,a(flip),b,9900,a),flip(a)]. given #10641 (H,wt=31): 11762 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(9(a,1),11761(a,2,2))]. given #10642 (H,wt=29): 11763 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6627,a,11762,a)]. given #10643 (H,wt=25): 11764 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(9(a,1),11763(a,1,2))]. given #10644 (H,wt=25): 11765 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(10054,a,11764,a)]. given #10645 (H,wt=37): 10798 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). [hyper(62,a,8017,a(flip),b,10086,a),flip(a)]. given #10646 (H,wt=37): 10868 K((x * ((y / z) \ u)) / x,T((y / z) * ((x * ((y / z) \ u)) / x),y)) = K((y / z) \ u,T(T(u,z),x)). [hyper(273,a,6729,a(flip),b,10867,a),flip(a)]. given #10647 (H,wt=35): 11767 K((x / y) \ z,T(T((x / y) * ((u * ((x / y) \ z)) / u),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(9401,a,10868,a)]. given #10648 (H,wt=31): 11768 K((x / y) \ z,T(T(((x / y) \ z) * (x / y),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(62,a,10701,a(flip),b,11767,a)]. given #10649 (H,wt=23): 11769 K((x / y) \ z,T(T(z,y),u)) = K((x / y) \ z,T(T(z,x),u)). [hyper(62,a,6729,a(flip),b,11768,a),flip(a)]. given #10650 (H,wt=37): 11651 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(62,a,7165,a,b,11650,a)]. given #10651 (H,wt=37): 11660 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(116,a,11658,a(flip),b,5174,a)]. given #10652 (H,wt=37): 11744 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(8967(a,1),9102(a,1,1,1))]. given #10653 (H,wt=37): 11760 T(x * T(x \ y,z),x) / K(T(x \ T(y,x),z),x) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). [para(1512(a,2),9745(a,1,1))]. given #10654 (H,wt=35): 11772 T(x * T(x \ y,z),x) / K(T(x \ y,z),x) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). [para(4686(a,1),11760(a,1,2))]. given #10655 (H,wt=35): 11773 T(x * T(x \ y,z),x) * K(x,T(x \ y,z)) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). [hyper(8239,a,11772,a)]. given #10656 (H,wt=32): 11774 T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = R(x,T(x \ y,z),x) * T(x \ y,z). [hyper(8375,a,11773,a),flip(a)]. given #10657 (H,wt=27): 11775 T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = T(x * T(y / x,z),x). [hyper(273,a,4661,a(flip),b,11774,a),flip(a)]. given #10658 (H,wt=19): 11776 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [hyper(62,a,4262,a(flip),b,11775,a),flip(a)]. given #10659 (H,wt=23): 11777 T(x,T(x * T(y / x,z),x)) = T(x,x * T(T(x,y) \ y,z)). [para(11776(a,2),4462(a,2,2)),flip(a)]. given #10660 (H,wt=21): 11778 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(y / x,z)). [hyper(4350,a,11777,a),flip(a)]. given #10661 (H,wt=21): 11779 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(x \ y,z)). [hyper(273,a,4305,a(flip),b,11778,a),flip(a)]. given #10662 (H,wt=36): 11780 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = T(y / T(x,y),z) * T(x,x * T(x \ y,z)). [para(11779(a,1),4360(a,1,2)),flip(a)]. given #10663 (H,wt=25): 11781 T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = y * T(y \ x,z). [hyper(7225,a,11780,a),flip(a)]. given #10664 (H,wt=37): 11766 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(273,a,11447,a(flip),b,10798,a),flip(a)]. given #10665 (H,wt=34): 11782 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(273,a,11642,a(flip),b,11766,a),flip(a)]. given #10666 (H,wt=27): 11783 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(273,a,11506,a(flip),b,11782,a),flip(a)]. given #10667 (H,wt=20): 11785 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(3382(a,1),11783(a,1,2))]. given #10668 (H,wt=24): 11786 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11785(a,1),8226(a,1,1,2)),flip(a)]. given #10669 (H,wt=20): 11787 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(273,a,8226,a(flip),b,11786,a),flip(a)]. given #10670 (H,wt=31): 11788 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11787(a,1),6643(a,1,1,2))]. given #10671 (H,wt=31): 11789 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11524(a,1),11788(a,1,1,2))]. given #10672 (H,wt=29): 11790 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(64(a,1),11789(a,1,1,2,1,2))]. given #10673 (H,wt=26): 11791 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5819(a,1),11790(a,1,1))]. given #10674 (H,wt=26): 11792 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(62,a,25,a,b,11791,a)]. given #10675 (H,wt=21): 11793 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5568(a,1),11792(a,1,1)),flip(a)]. given #10676 (H,wt=18): 11794 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4323,a,11793,a)]. given #10677 (H,wt=12): 11795 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(138,a,11794,a)]. given #10678 (H,wt=13): 11800 K(R(x,y,L(x,z,u)),w) = K(x,w). [para(11795(a,2),7431(a,1,1))]. given #10679 (H,wt=16): 11798 x * R(y,z,L(y,u,w)) = x * R(y,z,y). [hyper(57,a,11795,a)]. given #10680 (H,wt=17): 11797 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(273,a,5319,a,b,11795,a)]. given #10681 (H,wt=19): 11796 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11794(a,1),7444(a,1,2))]. given #10682 (H,wt=19): 11802 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(9411,a,11800,a),flip(a)]. given #10683 (H,wt=15): 11805 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(9407,a,11802,a),flip(a)]. given #10684 (H,wt=19): 11807 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(11805(a,1),5283(a,2,1,1))]. given #10685 (H,wt=15): 11808 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(273,a,5283,a,b,11807,a),flip(a)]. given #10686 (H,wt=20): 11804 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10795(a,1),11796(a,1))]. given #10687 (H,wt=21): 11801 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11795(a,1),11363(a,1,2,2)),flip(a)]. given #10688 (H,wt=14): 11809 K(x * L(y,z,u),y) = K(y * x,y). [hyper(273,a,11364,a(flip),b,11801,a),flip(a)]. given #10689 (H,wt=14): 11812 K(L(x,y,z) * u,x) = K(x * u,x). [hyper(62,a,10749,a,b,11809,a)]. given #10690 (H,wt=14): 11815 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(10(a,1),11812(a,1,1)),flip(a)]. given #10691 (H,wt=14): 11816 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(62,a,11467,a(flip),b,11815,a)]. given #10692 (H,wt=14): 11818 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8954,a,11816,a)]. given #10693 (H,wt=15): 11821 K(x \ (y * (z * x)),x) = K(y * z,x). [para(169(a,1),11818(a,1,1)),flip(a)]. given #10694 (H,wt=16): 11813 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(62,a,11347,a(flip),b,11809,a)]. given #10695 (H,wt=14): 11824 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(273,a,5657,a(flip),b,11813,a),flip(a)]. given #10696 (H,wt=16): 11817 T(x * K(y,x),x * (L(x,z,u) \ y)) = x. [para(11815(a,1),5134(a,1,1,2))]. given #10697 (H,wt=14): 11828 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(11817(a,1),5209(a,1,1)),flip(a)]. given #10698 (H,wt=14): 11829 T(x,L(x,y,z) * u) = T(x,x * u). [para(9(a,1),11828(a,1,2,2)),flip(a)]. given #10699 (H,wt=16): 11830 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(11828(a,1),7445(a,1,2)),flip(a)]. given #10700 (H,wt=16): 11832 T(x,L(x,y,z) * u) = x * K(x,x * u). [hyper(273,a,5163,a(flip),b,11829,a),flip(a)]. given #10701 (H,wt=14): 11837 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(5238,a,11832,a)]. given #10702 (H,wt=16): 11834 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [para(11829(a,2),7445(a,1,2))]. given #10703 (H,wt=16): 11839 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [para(11837(a,2),8436(a,1,2))]. given #10704 (H,wt=16): 11840 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [para(11837(a,2),8495(a,1,2))]. given #10705 (H,wt=16): 11844 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(7926(a,1),11834(a,1,2))]. given #10706 (H,wt=16): 11845 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10758(a,1),11839(a,1,2))]. given #10707 (H,wt=17): 11822 K(1 / L(x,y,z),x) != u | K(1 / x,x) = u. [para(11818(a,2),5794(a,1))]. given #10708 (H,wt=17): 11825 K(x \ L(y,z,u),y) != w | K(x \ y,y) = w. [para(11813(a,2),11472(a,1))]. given #10709 (H,wt=17): 11847 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(94(a,1),11844(a,1,2,2))]. given #10710 (H,wt=17): 11848 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(94(a,1),11845(a,1,2,2))]. given #10711 (H,wt=17): 11850 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(9107(a,1),11847(a,1,2))]. given #10712 (H,wt=17): 11852 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(9987,a,11850,a),flip(a)]. given #10713 (H,wt=18): 11826 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(62,a,11348,a(flip),b,11824,a)]. given #10714 (H,wt=18): 11857 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(273,a,11461,a(flip),b,11826,a),flip(a)]. given #10715 (H,wt=19): 11849 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(10(a,1),11847(a,1,2,2,2))]. given #10716 (H,wt=17): 11859 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(9987,a,11849,a),flip(a)]. given #10717 (H,wt=17): 11860 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(12(a,1),11859(a,1,2,2)),flip(a)]. given #10718 (H,wt=17): 11861 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(62,a,9078,a(flip),b,11860,a)]. given #10719 (H,wt=19): 11851 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7896(a,1),11848(a,1,2)),flip(a)]. given #10720 (H,wt=19): 11854 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(62,a,8727,a,b,11852,a)]. given #10721 (H,wt=19): 11855 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(10(a,1),11852(a,1,2,2))]. given #10722 (H,wt=19): 11858 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(94(a,1),11857(a,1,1,2))]. given #10723 (H,wt=19): 11863 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(62,a,9109,a(flip),b,11858,a)]. given #10724 (H,wt=20): 11853 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(11850(a,1),9987(a,1))]. given #10725 (H,wt=21): 11803 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(11800(a,1),5173(a,2,1)),flip(a)]. given #10726 (H,wt=21): 11865 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(273,a,27,a,b,11803,a),flip(a)]. given #10727 (H,wt=21): 11866 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(115,a,11865,a(flip),b,10594,a(flip))]. given #10728 (H,wt=19): 11867 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [hyper(62,a,10792,a(flip),b,11866,a)]. given #10729 (H,wt=17): 11869 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(62,a,10599,a(flip),b,11867,a)]. given #10730 (H,wt=17): 11871 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(11869(a,1),7212(a,1,1))]. given #10731 (H,wt=22): 11842 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,L(y,v6,v7) * z)). [hyper(273,a,10225,a,b,11834,a)]. given #10732 (H,wt=22): 11864 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(8727(a,2),11853(a,1))]. given #10733 (H,wt=23): 11846 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [para(11840(a,1),8416(a,1,2))]. given #10734 (H,wt=21): 11872 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(62,a,8470,a(flip),b,11846,a),flip(a)]. given #10735 (H,wt=21): 11873 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(8515,a,11872,a)]. given #10736 (H,wt=23): 11862 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(10053,a,11858,a)]. given #10737 (H,wt=19): 11875 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(273,a,11464,a(flip),b,11862,a),flip(a)]. given #10738 (H,wt=20): 11876 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(62,a,10306,a(flip),b,11875,a)]. given #10739 (H,wt=15): 11877 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(18(a,2),11876(a,2,1))]. given #10740 (H,wt=15): 11878 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11804,a,11877,a),flip(a)]. given #10741 (H,wt=13): 11879 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(11058,a,11878,a)]. given #10742 (H,wt=16): 11880 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11878(a,1),11058(a,1))]. given #10743 (H,wt=13): 11894 K(x,y) != z | L(K(x,y),x,u) = z. [para(10976(a,1),11880(a,1))]. given #10744 (H,wt=17): 11881 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(9529,a,11879,a),flip(a)]. given #10745 (H,wt=17): 11886 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(25(a,1),11879(a,2,2))]. given #10746 (H,wt=16): 11899 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [hyper(62,a,10081,a(flip),b,11886,a),flip(a)]. given #10747 (H,wt=17): 11893 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11879(a,1),10474(a,1,1))]. given #10748 (H,wt=15): 11900 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,10489,a(flip),b,11893,a)]. given #10749 (H,wt=17): 11895 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(273,a,9057,a,b,11881,a),flip(a)]. given #10750 (H,wt=18): 11884 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(62,a,8161,a(flip),b,11879,a),flip(a)]. given #10751 (H,wt=18): 11887 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11879(a,1),94(a,1,2))]. given #10752 (H,wt=19): 11890 K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(11879(a,1),9212(a,2,2))]. given #10753 (H,wt=19): 11896 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [hyper(62,a,9211,a,b,11881,a)]. given #10754 (H,wt=19): 11902 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11893(a,1),5137(a,1,2)),flip(a)]. given #10755 (H,wt=19): 11903 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(8443(a,2),11900(a,1,3))]. given #10756 (H,wt=19): 11904 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7121(a,1),11895(a,1,2)),flip(a)]. given #10757 (H,wt=19): 11908 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(62,a,3210,a(flip),b,11902,a)]. given #10758 (H,wt=19): 11909 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(9448,a,11904,a)]. given #10759 (H,wt=20): 11882 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(62,a,7124,a,b,11879,a)]. given #10760 (H,wt=20): 11885 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(62,a,7136,a(flip),b,11879,a),flip(a)]. given #10761 (H,wt=20): 11891 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(11879(a,2),9449(a,1,2))]. given #10762 (H,wt=20): 11898 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(11881(a,2),9449(a,1))]. given #10763 (H,wt=20): 11901 a(x,y,K(z,u)) != w * K(z,u) | K(u,L(z,y,x)) = w. [para(11893(a,1),43(a,1))]. given #10764 (H,wt=21): 11897 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(9217(a,1),11881(a,1,2)),flip(a)]. given #10765 (H,wt=21): 11905 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(11887(a,1),42(a,1)),flip(a)]. given #10766 (H,wt=21): 11910 T(x,y) * (x \ T(y,L(x,z,u))) = y * a(u,z,K(x,y)). [hyper(5610,a,11908,a)]. given #10767 (H,wt=21): 11911 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(62,a,5745,a,b,11908,a)]. given #10768 (H,wt=22): 11907 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(11879(a,1),11887(a,1,2,2))]. given #10769 (H,wt=22): 11916 x * (y * K(z,K(x * y,u))) = T(x * y,K(z,L(u,y,x))). [hyper(8447,a,11907,a),flip(a)]. given #10770 (H,wt=22): 11917 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). [para(8458(a,1),11916(a,1,2,2))]. given #10771 (H,wt=23): 11906 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(6446(a,1),11887(a,1,2,2))]. given #10772 (H,wt=23): 11915 T(x,y) * ((x \ y) * K(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(11738(a,2),11910(a,1,2))]. given #10773 (H,wt=23): 11918 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(62,a,9661,a,b,11906,a)]. given #10774 (H,wt=23): 11919 T(x,y) * ((x \ y) * L(K(y,x),z,u)) = y * a(u,z,K(x,y)). [para(11879(a,2),11915(a,1,2,2))]. given #10775 (H,wt=23): 11921 x \ (T(y,x) * ((y \ x) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [hyper(115,a,11919,a,b,xx)]. given #10776 (H,wt=24): 11841 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,v6) * y). [para(11837(a,1),9156(a,1,1))]. given #10777 (H,wt=20): 11922 K(R(x,y,z),L(x,u,w) * v5) = K(R(x,y,z),x * v5). [hyper(62,a,9156,a(flip),b,11841,a),flip(a)]. given #10778 (H,wt=24): 11883 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [hyper(62,a,8372,a(flip),b,11879,a),flip(a)]. given #10779 (H,wt=17): 11924 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(456(a,1),11883(a,1,2)),flip(a)]. given #10780 (H,wt=24): 11892 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11879(a,1),9008(a,1,2))]. given #10781 (H,wt=24): 11913 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(62,a,11522,a(flip),b,11882,a),flip(a)]. given #10782 (H,wt=24): 11926 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6287(a,1),11892(a,1,1))]. given #10783 (H,wt=24): 11927 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(273,a,9130,a(flip),b,11926,a),flip(a)]. given #10784 (H,wt=24): 11928 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [hyper(8510,a,11927,a)]. given #10785 (H,wt=25): 11827 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11824(a,1),10252(a,1,1,2))]. given #10786 (H,wt=21): 11929 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6536(a,1),11827(a,1,1,2)),flip(a)]. given #10787 (H,wt=19): 11930 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(273,a,6411,a(flip),b,11929,a),flip(a)]. given #10788 (H,wt=19): 11931 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1125(a,1),11930(a,1,1))]. given #10789 (H,wt=23): 11932 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11931(a,1),10467(a,2,2))]. given #10790 (H,wt=23): 11933 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(273,a,6416,a,b,11932,a),flip(a)]. given #10791 (H,wt=25): 11874 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [hyper(62,a,10119,a,b,11873,a)]. given #10792 (H,wt=25): 11888 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11879(a,1),441(a,1,2,2))]. given #10793 (H,wt=25): 11920 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(62,a,10279,a(flip),b,11918,a),flip(a)]. given #10794 (H,wt=23): 11934 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8670(a,1),11920(a,1,2)),flip(a)]. given #10795 (H,wt=21): 11935 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6838(a,1),11934(a,2,2))]. given #10796 (H,wt=25): 11923 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(11272,a,11922,a)]. given #10797 (H,wt=23): 11937 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). [hyper(273,a,6893,a(flip),b,11923,a),flip(a)]. given #10798 (H,wt=22): 11938 K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(62,a,10848,a(flip),b,11937,a)]. given #10799 (H,wt=26): 11912 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(62,a,9058,a(flip),b,11909,a),flip(a)]. given #10800 (H,wt=26): 11940 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10431(a,1),11912(a,1,2))]. given #10801 (H,wt=24): 11941 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(62,a,11601,a(flip),b,11940,a)]. given #10802 (H,wt=21): 11942 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(62,a,9058,a(flip),b,11941,a),flip(a)]. given #10803 (H,wt=21): 11943 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(9429,a,11942,a)]. given #10804 (H,wt=24): 11944 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(62,a,9807,a(flip),b,11943,a)]. given #10805 (H,wt=12): 11945 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(273,a,9682,a(flip),b,11944,a),flip(a)]. given #10806 (H,wt=10): 11947 K(x,K(y,a(z,x,u))) = 1. [para(198(a,1),11945(a,1,2,2,3))]. given #10807 (H,wt=15): 11949 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(11947(a,1),8416(a,1,2)),flip(a)]. given #10808 (H,wt=13): 11950 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(273,a,8,a(flip),b,11949,a),flip(a)]. given #10809 (H,wt=17): 11951 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8707,a,11950,a)]. given #10810 (H,wt=21): 11952 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(11951(a,1),108(a,1,2)),flip(a)]. given #10811 (H,wt=27): 11836 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(62,a,10802,a,b,11830,a)]. given #10812 (H,wt=25): 11954 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(273,a,8558,a(flip),b,11836,a),flip(a)]. given #10813 (H,wt=25): 11955 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(273,a,11684,a(flip),b,11954,a),flip(a)]. given #10814 (H,wt=21): 11956 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(8832,a,11955,a)]. given #10815 (H,wt=18): 11957 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(273,a,11824,a(flip),b,11956,a),flip(a)]. given #10816 (H,wt=15): 11959 K(x / (y \ z),y) = K((z / x) \ y,y). [para(320(a,1),11957(a,1,1,2,1))]. given #10817 (H,wt=15): 11960 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(62,a,10061,a,b,11959,a)]. given #10818 (H,wt=15): 11962 K(x / (y / z),z) = K((y / x) \ z,z). [hyper(62,a,7864,a,b,11959,a)]. given #10819 (H,wt=15): 11963 K(((x * y) / z) \ y,y) = K(z / x,y). [para(11(a,1),11962(a,1,1,2)),flip(a)]. given #10820 (H,wt=17): 11961 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(62,a,10059,a,b,11959,a)]. given #10821 (H,wt=17): 11964 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(62,a,9015,a,b,11961,a)]. given #10822 (H,wt=17): 11965 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(62,a,11413,a(flip),b,11964,a),flip(a)]. given #10823 (H,wt=17): 11966 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(62,a,5660,a(flip),b,11965,a)]. given #10824 (H,wt=17): 11967 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(7662,a,11966,a)]. given #10825 (H,wt=29): 11843 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(11834(a,1),7479(a,1,2,2)),flip(a)]. given #10826 (H,wt=27): 11968 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(7476(a,1),11843(a,2,2))]. given #10827 (H,wt=21): 11969 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(10147(a,1),11968(a,1,1)),flip(a)]. given #10828 (H,wt=29): 11889 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11879(a,1),1135(a,1,2,1))]. given #10829 (H,wt=29): 11971 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5388(a,1),11889(a,1,2))]. given #10830 (H,wt=30): 11914 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(463(a,1),11897(a,1,2,2)),flip(a)]. given #10831 (H,wt=35): 11925 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(11924(a,1),6970(a,1,2,2,2)),flip(a)]. given #10832 (H,wt=35): 11972 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(5714(a,1),11925(a,2,2,2,2))]. given #10833 (H,wt=31): 11973 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2334(a,1),11972(a,2,2))]. given #10834 (H,wt=27): 11974 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(77(a,1),11973(a,1,2,2,2,2,1,1,2))]. given #10835 (H,wt=23): 11975 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(8371(a,1),11974(a,1,2,2,2)),flip(a)]. given #10836 (H,wt=19): 11976 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2334(a,1),11975(a,2,2))]. given #10837 (H,wt=19): 11977 x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). [para(10(a,1),11976(a,1,2,2)),flip(a)]. given #10838 (H,wt=19): 11978 K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. [para(11977(a,1),8226(a,1,1)),flip(a)]. given #10839 (H,wt=37): 11770 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(62,a,5714,a(flip),b,11651,a)]. given #10840 (H,wt=37): 11771 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(8502(a,1),11660(a,1,1))]. given #10841 (H,wt=37): 11979 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(62,a,5676,a(flip),b,11770,a)]. given #10842 (H,wt=37): 11980 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(7662,a,11979,a)]. given #10843 (H,wt=36): 11981 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(226(a,1),11980(a,1,1))]. given #10844 (H,wt=27): 11982 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(11369,a,11981,a)]. given #10845 (H,wt=27): 11984 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(62,a,7899,a(flip),b,11982,a)]. given #10846 (H,wt=23): 11985 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(9(a,1),11984(a,1,2,2))]. given #10847 (H,wt=21): 11986 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(9401,a,11985,a)]. given #10848 (H,wt=19): 11987 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [hyper(62,a,9291,a(flip),b,11986,a)]. given #10849 (H,wt=17): 11988 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(273,a,10164,a(flip),b,11987,a),flip(a)]. given #10850 (H,wt=17): 11989 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(9(a,1),11988(a,1,2,1,1)),flip(a)]. given #10851 (H,wt=19): 11990 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4294(a,1),11989(a,1,2,1)),flip(a)]. given #10852 (H,wt=17): 11992 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(62,a,11861,a(flip),b,11990,a),flip(a)]. given #10853 (H,wt=19): 11993 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(62,a,10166,a(flip),b,11992,a),flip(a)]. given #10854 (H,wt=17): 11994 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(7657,a,11993,a),flip(a)]. given #10855 (H,wt=20): 11995 K(x,((x * y) / z) / y) != u | K(x,T(z \ x,y)) = u. [para(11993(a,1),7657(a,1))]. given #10856 (H,wt=26): 11991 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4399(a,2),11989(a,1,2,1)),flip(a)]. given #10857 (H,wt=30): 11996 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(62,a,7950,a(flip),b,11994,a)]. given #10858 (H,wt=23): 11997 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,w \ x). [hyper(273,a,7520,a(flip),b,11996,a),flip(a)]. given #10859 (H,wt=26): 11998 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(11996(a,2),9409(a,1))]. given #10860 (H,wt=38): 5593 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5386(a,1),3409(a,2,2,2))]. given #10861 (H,wt=29): 12000 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(4562(a,1),5593(a,1,1,2,1)),flip(a)]. given #10862 (H,wt=27): 12002 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5368(a,1),12000(a,2,1,2))]. given #10863 (H,wt=19): 12003 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(8218(a,1),12002(a,2,1))]. given #10864 (H,wt=19): 12004 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(128,a,12003,a)]. given #10865 (H,wt=33): 12005 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(12004(a,1),3379(a,1,1,1)),flip(a)]. given #10866 (H,wt=29): 12006 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6800(a,1),12005(a,2,1))]. given #10867 (H,wt=29): 12007 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5952(a,1),12006(a,1,2,2))]. given #10868 (H,wt=25): 12008 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8788(a,1),12007(a,1,2))]. given #10869 (H,wt=23): 12009 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(10035(a,1),12008(a,1,2)),flip(a)]. given #10870 (H,wt=21): 12010 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(273,a,10045,a(flip),b,12009,a),flip(a)]. given #10871 (H,wt=38): 6255 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5515(a,1),461(a,1,1))]. given #10872 (H,wt=34): 12013 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5178(a,1),6255(a,1,2))]. given #10873 (H,wt=38): 6886 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(1785(a,1),6883(a,1,1,2,1,2))]. given #10874 (H,wt=38): 6888 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6882(a,1),1367(a,1,1,2)),flip(a)]. given #10875 (H,wt=34): 12016 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(273,a,11400,a(flip),b,6888,a),flip(a)]. given #10876 (H,wt=34): 12017 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(273,a,9475,a(flip),b,12016,a),flip(a)]. given #10877 (H,wt=29): 12018 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10593(a,1),12017(a,2,2))]. given #10878 (H,wt=29): 12019 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6520(a,1),12018(a,1,1))]. given #10879 (H,wt=28): 12020 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6882(a,1),12019(a,1,2))]. given #10880 (H,wt=26): 12021 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(62,a,11433,a(flip),b,12020,a)]. given #10881 (H,wt=21): 12022 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(9081(a,1),12021(a,1,2))]. given #10882 (H,wt=18): 12023 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [hyper(62,a,11798,a(flip),b,12022,a)]. given #10883 (H,wt=15): 12026 (x / y) * R(y,z,y) = x * a(y,z,y). [para(320(a,1),12023(a,2,2,3))]. given #10884 (H,wt=11): 12029 R(x,y,x) / x = a(x,y,x). [hyper(114,a,12026,a(flip),b,1368,a(flip)),flip(a)]. given #10885 (H,wt=11): 12030 x \ R(x,y,x) = a(x,y,x). [hyper(33,a,9882,a,b,12026,a(flip))]. given #10886 (H,wt=11): 12038 a(x,y,x) * x = R(x,y,x). [hyper(129,a,12029,a)]. given #10887 (H,wt=11): 12040 x * a(x,y,x) = R(x,y,x). [hyper(131,a,12030,a)]. given #10888 (H,wt=11): 12041 L(x,y,x) \ x = a(x,y,x). [hyper(62,a,9626,a,b,12030,a)]. given #10889 (H,wt=11): 12051 a(x,y,x) \ x = L(x,y,x). [para(12041(a,1),7212(a,1,1))]. given #10890 (H,wt=12): 12031 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(33,a,12023,a(flip),b,12026,a(flip))]. given #10891 (H,wt=13): 12047 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(12030(a,1),10724(a,1,3))]. given #10892 (H,wt=14): 12039 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5797,a,12030,a)]. given #10893 (H,wt=14): 12043 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(62,a,5809,a,b,12030,a)]. given #10894 (H,wt=14): 12045 x * a(x,y,x) != z | R(x,y,x) = z. [para(12030(a,1),225(a,1,2))]. given #10895 (H,wt=14): 12046 T(x * y,x) / x = y * a(x,y,x). [para(12030(a,1),8974(a,1,2)),flip(a)]. given #10896 (H,wt=14): 12049 x \ R(x,y,x) != z | a(x,y,x) = z. [para(12040(a,1),288(a,1,2))]. given #10897 (H,wt=14): 12053 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(8238,a,12039,a)]. given #10898 (H,wt=14): 12054 K(x,x * y) * a(x,y,x) = K(x,y). [para(12039(a,1),5421(a,1,2))]. given #10899 (H,wt=14): 12056 a(x,y,x) * (y * x) = T(x * y,x). [para(12039(a,1),10582(a,1,1))]. given #10900 (H,wt=14): 12058 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(8238,a,12043,a)]. given #10901 (H,wt=14): 12070 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(273,a,5626,a,b,12058,a),flip(a)]. given #10902 (H,wt=15): 12027 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(128,a,12026,a)]. given #10903 (H,wt=15): 12028 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(62,a,9882,a,b,12026,a)]. given #10904 (H,wt=14): 12075 (x * y) * a(y,x,y) = T(y * x,y). [hyper(62,a,1079,a(flip),b,12028,a),flip(a)]. given #10905 (H,wt=15): 12032 (x * y) * a(y,z,y) = x * R(y,z,y). [para(11(a,1),12026(a,1,1)),flip(a)]. given #10906 (H,wt=15): 12035 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(12026(a,1),1369(a,1,1))]. given #10907 (H,wt=15): 12042 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(62,a,7628,a,b,12030,a)]. given #10908 (H,wt=15): 12044 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(62,a,7978,a(flip),b,12030,a),flip(a)]. given #10909 (H,wt=13): 12085 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(62,a,10224,a(flip),b,12044,a)]. given #10910 (H,wt=14): 12087 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(12085(a,2),12049(a,1))]. given #10911 (H,wt=15): 12057 (x / y) * a(y,z,y) = x / L(y,z,y). [para(12039(a,1),11431(a,1,2))]. given #10912 (H,wt=15): 12076 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(9(a,1),12028(a,1,2)),flip(a)]. given #10913 (H,wt=15): 12077 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(12028(a,1),1064(a,1,2))]. given #10914 (H,wt=15): 12080 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(122,a,12032,a)]. given #10915 (H,wt=15): 12084 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(12042(a,1),11165(a,1,1))]. given #10916 (H,wt=15): 12088 (x * y) / L(y,z,y) = x * a(y,z,y). [para(11(a,1),12057(a,1,1)),flip(a)]. given #10917 (H,wt=15): 12089 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(122,a,12076,a)]. given #10918 (H,wt=15): 12094 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1273,a,12088,a)]. given #10919 (H,wt=15): 12095 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [hyper(171,a,12088,a)]. given #10920 (H,wt=15): 12098 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(62,a,9914,a(flip),b,12094,a)]. given #10921 (H,wt=15): 12099 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(11(a,1),12094(a,1,1)),flip(a)]. given #10922 (H,wt=15): 12102 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(62,a,1129,a,b,12098,a)]. given #10923 (H,wt=15): 12104 L(x,y,x) * (z * a(x,y,x)) = x * z. [hyper(131,a,12102,a)]. given #10924 (H,wt=15): 12105 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(10(a,1),12102(a,1,2)),flip(a)]. given #10925 (H,wt=15): 12106 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(12(a,1),12104(a,1,2)),flip(a)]. given #10926 (H,wt=15): 12107 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(33,a,1127,a,b,12106,a)]. given #10927 (H,wt=15): 12108 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(115,a,12107,a(flip),b,9916,a(flip))]. given #10928 (H,wt=16): 12033 (1 / x) * R(x,y,x) != z | a(x,y,x) = z. [para(12026(a,2),117(a,1))]. given #10929 (H,wt=16): 12061 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(12046(a,1),110(a,1,1))]. given #10930 (H,wt=16): 12068 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(10(a,1),12053(a,1,2,2))]. given #10931 (H,wt=16): 12069 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(10(a,1),12054(a,1,1,2))]. given #10932 (H,wt=17): 12059 a(x,y,x) * K(y,x) != z | K(x * y,x) = z. [para(12043(a,1),8256(a,1,1)),flip(b)]. given #10933 (H,wt=17): 12067 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5809(a,2),12049(a,1))]. given #10934 (H,wt=18): 12034 (x * a(y,z,y)) / R(y,z,y) != u | x / y = u. [para(12026(a,1),280(a,1,1))]. given #10935 (H,wt=18): 12055 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(12039(a,1),9672(a,2,2))]. given #10936 (H,wt=18): 12074 (x / y) * R(y,z,y) != u | x * a(y,z,y) = u. [para(12027(a,1),222(a,1,1))]. given #10937 (H,wt=18): 12090 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(115,a,12077,a(flip),b,94,a)]. given #10938 (H,wt=18): 12092 (x * y) * a(y,z,y) != u | x * R(y,z,y) = u. [para(12080(a,1),225(a,1,2))]. given #10939 (H,wt=18): 12097 (x * y) * a(x,z,x) != u | R(x,z,x) * y = u. [para(12089(a,1),225(a,1,2))]. given #10940 (H,wt=18): 12109 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(5423,a,12055,a)]. given #10941 (H,wt=19): 12052 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12047(a,1),392(a,1,1)),flip(a)]. given #10942 (H,wt=19): 12101 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(62,a,11630,a,b,12098,a)]. given #10943 (H,wt=20): 12037 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4320(a,1),12026(a,1,2))]. given #10944 (H,wt=20): 12112 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(12099(a,1),12109(a,1,2)),flip(a)]. given #10945 (H,wt=20): 12113 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12052(a,1),12061(a,1,1))]. given #10946 (H,wt=21): 12025 (x / y) * R(y,z,y) != x * u | a(y,z,L(y,w,v5)) = u. [para(12023(a,2),42(a,1))]. given #10947 (H,wt=21): 12048 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(12030(a,1),11210(a,1,1))]. given #10948 (H,wt=21): 12050 (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). [para(12040(a,1),105(a,2,2)),flip(a)]. given #10949 (H,wt=13): 12119 R(x / y,y,a(y,z,y)) = x / y. [hyper(12034,a,12050,a),flip(a)]. given #10950 (H,wt=13): 12121 R((x * y) / y,y,a(y,z,y)) = x. [hyper(273,a,11,a(flip),b,12119,a),flip(a)]. given #10951 (H,wt=9): 12122 R(x,y,a(y,z,y)) = x. [para(11(a,1),12121(a,1,1))]. given #10952 (H,wt=21): 12078 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5506(a,1),12028(a,1,2))]. given #10953 (H,wt=21): 12091 (x * y) \ (R(x,z,x) * y) != u | L(a(x,z,x),y,x) = u. [para(12077(a,1),453(a,1,2))]. given #10954 (H,wt=21): 12096 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [hyper(273,a,12080,a,b,12089,a),flip(a)]. given #10955 (H,wt=18): 12126 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(12091,a,12096,a)]. given #10956 (H,wt=21): 12111 K(x * y,x) * (K(x,y) * z) != u | z * a(x,y,x) = u. [para(12109(a,1),5437(a,1,2))]. given #10957 (H,wt=21): 12115 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12101(a,1),5142(a,1,2))]. given #10958 (H,wt=22): 12114 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(12101(a,2),42(a,1))]. given #10959 (H,wt=23): 12060 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(62,a,1395,a,b,12046,a)]. given #10960 (H,wt=22): 12130 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(12046(a,1),12060(a,1,1)),flip(a)]. given #10961 (H,wt=23): 12103 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(9721(a,1),12098(a,1,2,1))]. given #10962 (H,wt=13): 12131 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(12114,a,12103,a),flip(a)]. given #10963 (H,wt=23): 12129 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12026(a,2),12115(a,1,2))]. given #10964 (H,wt=21): 12133 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(62,a,10236,a(flip),b,12129,a)]. given #10965 (H,wt=21): 12134 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(62,a,12078,a(flip),b,12133,a)]. given #10966 (H,wt=24): 12081 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),y * z,x). [para(12032(a,1),18(a,2,2,2)),flip(a)]. given #10967 (H,wt=25): 12093 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(8520(a,1),12084(a,1,2)),flip(a)]. given #10968 (H,wt=25): 12118 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(273,a,10037,a,b,12048,a)]. given #10969 (H,wt=17): 12137 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(34,a,12093,a(flip),b,12118,a(flip))]. given #10970 (H,wt=26): 12110 K(x * y,x) * (K(x,y) * z) != a(x,y,x) * u | T(z,a(x,y,x)) = u. [para(12055(a,2),213(a,2)),flip(a)]. given #10971 (H,wt=26): 12128 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(273,a,146,a(flip),b,12126,a),flip(a)]. given #10972 (H,wt=27): 12062 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(12046(a,2),206(a,1,2,2))]. given #10973 (H,wt=27): 12082 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(12032(a,1),453(a,1,2,2))]. given #10974 (H,wt=27): 12100 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(838(a,1),12095(a,1,2))]. given #10975 (H,wt=23): 12140 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(12131(a,1),12100(a,1,1,2))]. given #10976 (H,wt=21): 12141 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(12032(a,1),12140(a,1,1))]. given #10977 (H,wt=19): 12143 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(273,a,9721,a(flip),b,12141,a),flip(a)]. given #10978 (H,wt=27): 12135 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12133(a,1),7701(a,1,2))]. given #10979 (H,wt=25): 12145 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5641,a,12135,a),flip(a)]. given #10980 (H,wt=27): 12139 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(8038(a,1),12062(a,1,2,2))]. given #10981 (H,wt=25): 12146 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(108(a,1),12139(a,1,2)),flip(a)]. given #10982 (H,wt=28): 12136 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(12093(a,2),43(a,1))]. given #10983 (H,wt=30): 12063 L(L(a(x,y,x),y,z),z * y,u) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(12046(a,2),444(a,1,2,2,2)),flip(a)]. given #10984 (H,wt=30): 12079 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(12075(a,1),836(a,1,1,2))]. given #10985 (H,wt=28): 12147 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4209(a,1),12079(a,1,1)),flip(a)]. given #10986 (H,wt=30): 12083 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(12032(a,1),5828(a,1,1,1,1)),flip(a)]. given #10987 (H,wt=32): 12073 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(7642(a,1),12058(a,1,2))]. given #10988 (H,wt=24): 12148 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12131(a,1),12073(a,1,1)),flip(a)]. given #10989 (H,wt=18): 12149 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(11864,a,12148,a),flip(a)]. given #10990 (H,wt=18): 12151 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(8327,a,12149,a)]. given #10991 (H,wt=24): 12153 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(23(a,1),12151(a,1,2,2))]. given #10992 (H,wt=27): 12157 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(12153(a,1),43(a,1))]. given #10993 (H,wt=33): 12065 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(12046(a,2),744(a,1,2,2,2))]. given #10994 (H,wt=34): 12125 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(12122(a,1),646(a,1,1,1)),flip(a)]. given #10995 (H,wt=32): 12158 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(12032(a,1),12125(a,2,2))]. given #10996 (H,wt=20): 12159 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(273,a,12035,a(flip),b,12158,a),flip(a)]. given #10997 (H,wt=15): 12161 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(11586(a,1),12159(a,1,1))]. given #10998 (H,wt=9): 12163 L(x,a(x,y,x),z) = x. [para(12121(a,1),12161(a,1,3))]. given #10999 (H,wt=23): 12164 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(12163(a,1),449(a,1,2,1))]. given #11000 (H,wt=34): 12138 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(590(a,1),12128(a,2,2))]. given #11001 (H,wt=30): 12165 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9958(a,1),12138(a,2,2,1))]. given #11002 (H,wt=28): 12167 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(12028(a,1),12165(a,2,2))]. given #11003 (H,wt=24): 12168 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(273,a,9,a(flip),b,12167,a),flip(a)]. given #11004 (H,wt=17): 12169 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4890,a,12168,a),flip(a)]. given #11005 (H,wt=35): 12066 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(12046(a,2),7371(a,1,2,1)),flip(a)]. given #11006 (H,wt=35): 12116 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11212(a,1),12037(a,1,2))]. given #11007 (H,wt=34): 12171 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4682(a,1),12116(a,1,2,1)),flip(a)]. given #11008 (H,wt=36): 12064 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(12046(a,2),443(a,1,2,2))]. given #11009 (H,wt=36): 12154 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(7959(a,1),12151(a,1,1))]. given #11010 (H,wt=32): 12173 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10673(a,1),12154(a,1,1)),flip(a)]. given #11011 (H,wt=30): 12174 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7465(a,1),12173(a,2,2))]. given #11012 (H,wt=22): 12176 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(62,a,12169,a(flip),b,12174,a),flip(a)]. given #11013 (H,wt=22): 12178 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(23(a,1),12176(a,1,1,2))]. given #11014 (H,wt=36): 12156 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(10324(a,1),12151(a,1,1))]. given #11015 (H,wt=36): 12172 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9749(a,2),12064(a,1,2,2))]. given #11016 (H,wt=33): 12180 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(94(a,1),12172(a,1,2)),flip(a)]. given #11017 (H,wt=36): 12179 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3644(a,1),12156(a,1,1))]. given #11018 (H,wt=38): 7695 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(7413(a,1),1410(a,1,1,2))]. given #11019 (H,wt=33): 12181 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(207(a,1),7695(a,1,1)),flip(a)]. given #11020 (H,wt=33): 12182 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(8502(a,1),12181(a,2,1,1))]. given #11021 (H,wt=33): 12183 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(273,a,25,a,b,12182,a),flip(a)]. given #11022 (H,wt=26): 12184 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(62,a,9521,a(flip),b,12183,a),flip(a)]. given #11023 (H,wt=38): 8166 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(5316(a,1),8165(a,1,2)),flip(a)]. given #11024 (H,wt=34): 12186 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(9(a,1),8166(a,2,1,1))]. given #11025 (H,wt=30): 12187 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(273,a,10282,a(flip),b,12186,a),flip(a)]. given #11026 (H,wt=26): 12189 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(9(a,1),12187(a,1,1,1))]. given #11027 (H,wt=22): 12190 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(9(a,1),12189(a,1,2,2))]. given #11028 (H,wt=25): 12191 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6260(a,1),12190(a,1,2,1,3))]. given #11029 (H,wt=38): 9062 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(273,a,3448,a,b,8839,a),flip(a)]. given #11030 (H,wt=38): 9548 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(4802(a,1),8552(a,1,1,1,2)),flip(a)]. given #11031 (H,wt=38): 10089 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10002(a,1),9888(a,1,1,2,1))]. given #11032 (H,wt=36): 12193 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10003(a,1),10089(a,1,1,2))]. given #11033 (H,wt=36): 12194 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(11618(a,1),12193(a,1,1))]. given #11034 (H,wt=36): 12195 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(27(a,2),12194(a,1,2))]. given #11035 (H,wt=34): 12196 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(246(a,1),12195(a,1,2,1))]. given #11036 (H,wt=34): 12197 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(62,a,10773,a(flip),b,12196,a)]. given #11037 (H,wt=38): 10970 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(10962(a,1),1311(a,1,1)),flip(a)]. given #11038 (H,wt=37): 12198 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(10962(a,1),10970(a,2,2,1,1))]. given #11039 (H,wt=34): 12199 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(273,a,2495,a(flip),b,12198,a),flip(a)]. given #11040 (H,wt=28): 12200 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1378(a,1),12199(a,2,1))]. given #11041 (H,wt=24): 12201 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4218(a,1),12200(a,1,1,2,1))]. given #11042 (H,wt=22): 12202 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4234(a,1),12201(a,1,1))]. given #11043 (H,wt=20): 12203 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9854(a,1),12202(a,1,1)),flip(a)]. given #11044 (H,wt=18): 12204 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(12029(a,1),12203(a,1,1)),flip(a)]. given #11045 (H,wt=38): 12015 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(5773(a,1),6886(a,1,1,2))]. given #11046 (H,wt=38): 12192 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(4983(a,1),9548(a,2,1,1))]. given #11047 (H,wt=30): 12205 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(10288(a,1),12192(a,2,1,1))]. given #11048 (H,wt=28): 12206 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(5518(a,1),12205(a,2,1))]. given #11049 (H,wt=28): 12208 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(7691(a,1),12206(a,1,2,1))]. given #11050 (H,wt=26): 12209 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(10325(a,1),12208(a,1,2,1))]. given #11051 (H,wt=24): 12210 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(72(a,1),12209(a,1,2,1,2,1))]. given #11052 (H,wt=39): 4703 a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4702(a,1),4667(a,1,1))]. given #11053 (H,wt=31): 12211 a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4793(a,1),4703(a,1,2))]. given #11054 (H,wt=29): 12212 a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(110(a,1),12211(a,1,2))]. given #11055 (H,wt=29): 12214 a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [hyper(62,a,4976,a(flip),b,12212,a)]. given #11056 (H,wt=25): 12215 a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). [para(74(a,1),12214(a,1,1,1)),flip(a)]. given #11057 (H,wt=25): 12217 a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). [hyper(62,a,4027,a(flip),b,12215,a)]. given #11058 (H,wt=17): 12218 a((x \ y) \ y,x \ y,z) = a(x,y / x,z). [para(174(a,1),12217(a,1,1)),flip(a)]. given #11059 (H,wt=17): 12219 a(T(x,x \ y),x \ y,z) = a(x,y / x,z). [para(109(a,2),12218(a,1,1))]. given #11060 (H,wt=39): 4819 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4755(a,1),3039(a,1,1))]. given #11061 (H,wt=39): 6372 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(115,a,6371,a,b,1206,a)]. given #11062 (H,wt=39): 7983 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [para(7919(a,1),6726(a,1,2))]. given #11063 (H,wt=37): 12222 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [hyper(62,a,11332,a(flip),b,7983,a)]. given #11064 (H,wt=29): 12223 K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T(z,u)). [hyper(62,a,6726,a(flip),b,12222,a),flip(a)]. given #11065 (H,wt=23): 12224 K(T(x,y) \ z,T(z,u * T(x,z))) = K(T(x,y) \ z,T(z,u)). [para(7374(a,1),12223(a,1,2,2,2))]. given #11066 (H,wt=21): 12225 K(T(x,y) \ z,T(z,u * x)) = K(T(x,y) \ z,T(z,u)). [para(7368(a,1),12224(a,1,2))]. given #11067 (H,wt=39): 8013 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(8011(a,1),7065(a,2,2,2,1,1))]. given #11068 (H,wt=29): 12227 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(62,a,10615,a(flip),b,8013,a)]. given #11069 (H,wt=27): 12229 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(62,a,8152,a(flip),b,12227,a)]. given #11070 (H,wt=27): 12231 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(11148(a,1),12229(a,2,2,2))]. given #11071 (H,wt=23): 12232 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(10(a,1),12231(a,2,2,2,1))]. given #11072 (H,wt=19): 12233 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(9(a,1),12232(a,2,2))]. given #11073 (H,wt=17): 12235 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(273,a,10602,a(flip),b,12233,a),flip(a)]. given #11074 (H,wt=17): 12237 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4668,a,12235,a),flip(a)]. given #11075 (H,wt=20): 12236 a(T(x,y),z,R(x,u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(12233(a,2),10603(a,1))]. given #11076 (H,wt=20): 12239 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(12235(a,1),4668(a,1))]. given #11077 (H,wt=21): 12238 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(62,a,8153,a(flip),b,12235,a),flip(a)]. given #11078 (H,wt=39): 8098 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(5102(a,2),7184(a,1,2,1,2)),flip(a)]. given #11079 (H,wt=35): 12241 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(5115(a,1),8098(a,2,2,1))]. given #11080 (H,wt=31): 12242 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(273,a,3676,a(flip),b,12241,a),flip(a)]. given #11081 (H,wt=24): 12245 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(62,a,11208,a(flip),b,12242,a)]. given #11082 (H,wt=20): 12247 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(62,a,6492,a(flip),b,12245,a),flip(a)]. given #11083 (H,wt=34): 12244 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(12241(a,2),6662(a,1))]. given #11084 (H,wt=39): 10771 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(990(a,1),10770(a,1,2,2,1)),flip(a)]. given #11085 (H,wt=33): 12248 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(273,a,7433,a(flip),b,10771,a),flip(a)]. given #11086 (H,wt=29): 12250 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(273,a,10770,a(flip),b,12248,a),flip(a)]. given #11087 (H,wt=39): 11503 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(11432(a,1),10776(a,1,2,1,1))]. given #11088 (H,wt=35): 12252 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(62,a,5014,a(flip),b,11503,a),flip(a)]. given #11089 (H,wt=31): 12254 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(273,a,3674,a(flip),b,12252,a),flip(a)]. given #11090 (H,wt=25): 12255 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(3001(a,1),12254(a,1,2,1)),flip(a)]. given #11091 (H,wt=39): 11592 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(11589(a,1),1274(a,2,2,1,2)),flip(a)]. given #11092 (H,wt=39): 12220 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4755(a,1),4819(a,1,1,2))]. given #11093 (H,wt=39): 12221 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5388(a,1),6372(a,1,1,2))]. given #11094 (H,wt=39): 12257 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [hyper(4868,a,12220,a)]. given #11095 (H,wt=26): 12259 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(4992,a,12257,a),flip(a)]. given #11096 (H,wt=15): 12260 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3803,a,12259,a)]. given #11097 (H,wt=13): 12262 a(x,y,1 / z) = a(x,y,z \ 1). [para(701(a,1),12260(a,1,3)),flip(a)]. given #11098 (H,wt=15): 12264 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(3032(a,1),12260(a,1,3)),flip(a)]. given #11099 (H,wt=21): 12266 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4851(a,1),12264(a,1,3))]. given #11100 (H,wt=28): 12265 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(62,a,4989,a,b,12264,a)]. given #11101 (H,wt=28): 12268 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(3007(a,1),12265(a,1,1,1,2,2))]. given #11102 (H,wt=39): 12258 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(11615(a,1),12221(a,1,1))]. given #11103 (H,wt=40): 4183 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4179(a,1),1579(a,1,1,2,1))]. given #11104 (H,wt=32): 12269 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4269(a,1),4183(a,1,1,2)),flip(a)]. given #11105 (H,wt=22): 12270 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(273,a,2888,a(flip),b,12269,a),flip(a)]. given #11106 (H,wt=18): 12271 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4179(a,1),12270(a,1,3))]. given #11107 (H,wt=30): 12272 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(12271(a,1),6868(a,1,1,1))]. given #11108 (H,wt=19): 12273 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(12271(a,1),12272(a,1,2))]. given #11109 (H,wt=17): 12274 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(303,a,12273,a)]. given #11110 (H,wt=17): 12275 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(62,a,4828,a(flip),b,12274,a)]. given #11111 (H,wt=19): 12276 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(12275(a,1),197(a,1,2))]. given #11112 (H,wt=40): 4194 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2719(a,1),4192(a,2,2))]. given #11113 (H,wt=36): 12277 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(77(a,1),4194(a,1,1,2))]. given #11114 (H,wt=36): 12278 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(25(a,2),12277(a,1,1))]. given #11115 (H,wt=35): 12279 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2712(a,1),12278(a,1,1))]. given #11116 (H,wt=31): 12280 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(77(a,1),12279(a,1,2,2,2))]. given #11117 (H,wt=31): 12281 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(25(a,2),12280(a,1,2,2))]. given #11118 (H,wt=30): 12282 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2712(a,1),12281(a,1,2,2))]. given #11119 (H,wt=22): 12283 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(9(a,1),12282(a,1,2))]. given #11120 (H,wt=25): 12285 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(12283(a,1),7297(a,1,1)),flip(a)]. given #11121 (H,wt=25): 12286 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(171,a,12285,a)]. given #11122 (H,wt=22): 12287 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(62,a,2980,a(flip),b,12286,a)]. given #11123 (H,wt=40): 6942 K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). [para(14(a,2),6939(a,2,2))]. given #11124 (H,wt=35): 12288 K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(18(a,2),6942(a,1,1,2))]. given #11125 (H,wt=30): 12289 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(18(a,2),12288(a,1,2,1))]. given #11126 (H,wt=25): 12290 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(18(a,2),12289(a,2,1,2))]. given #11127 (H,wt=40): 7986 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(7982(a,1),442(a,1,2))]. given #11128 (H,wt=35): 12291 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6451(a,1),7986(a,1,1)),flip(a)]. given #11129 (H,wt=30): 12292 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(273,a,5621,a(flip),b,12291,a),flip(a)]. given #11130 (H,wt=28): 12294 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(273,a,5178,a(flip),b,12292,a),flip(a)]. given #11131 (H,wt=23): 12295 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6451(a,1),12294(a,1,2))]. given #11132 (H,wt=21): 12296 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(62,a,7913,a(flip),b,12295,a)]. given #11133 (H,wt=19): 12298 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(273,a,11902,a(flip),b,12296,a),flip(a)]. given #11134 (H,wt=17): 12299 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12298(a,1),5209(a,1,1))]. given #11135 (H,wt=22): 12300 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12298(a,1),5323(a,1,1))]. given #11136 (H,wt=40): 8399 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(8353(a,2),7371(a,1,2,1))]. given #11137 (H,wt=40): 9363 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(9360(a,1),5237(a,1,1,1))]. given #11138 (H,wt=40): 9771 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(9770(a,1),457(a,1,1,1))]. given #11139 (H,wt=40): 10156 (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(4944(a,2),9906(a,2,2))]. given #11140 (H,wt=40): 12014 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(12013(a,1),11567(a,1,2,2))]. given #11141 (H,wt=29): 12304 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(62,a,8453,a(flip),b,12014,a),flip(a)]. given #11142 (H,wt=29): 12305 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(9429,a,12304,a)]. given #11143 (H,wt=27): 12307 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(10559(a,1),12305(a,1,2))]. given #11144 (H,wt=23): 12308 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(10943,a,12307,a)]. given #11145 (H,wt=40): 12155 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9885(a,1),12151(a,1,1,2))]. given #11146 (H,wt=38): 12309 K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(11412(a,1),12155(a,1,1))]. given #11147 (H,wt=36): 12310 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8546(a,1),12309(a,1,1))]. given #11148 (H,wt=34): 12311 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(11539(a,1),12310(a,1,1))]. given #11149 (H,wt=32): 12312 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6485(a,1),12311(a,1,2))]. given #11150 (H,wt=28): 12313 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9074(a,1),12312(a,1,2))]. given #11151 (H,wt=40): 12301 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5626(a,2),8399(a,1,1,1,2))]. given #11152 (H,wt=40): 12302 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8455(a,1),9363(a,1,1,2))]. given #11153 (H,wt=36): 12315 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(8827(a,1),12302(a,1,1)),flip(a)]. given #11154 (H,wt=36): 12316 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(7460(a,2),12315(a,2,2))]. given #11155 (H,wt=36): 12317 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(273,a,8265,a(flip),b,12316,a),flip(a)]. given #11156 (H,wt=36): 12318 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(8458(a,1),12317(a,1,1))]. given #11157 (H,wt=23): 12319 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(6549,a,12318,a)]. given #11158 (H,wt=40): 12303 (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(5388(a,1),10156(a,1,1,2,2))]. given #11159 (H,wt=36): 12321 (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(5507(a,1),12303(a,1,1,2))]. given #11160 (H,wt=36): 12322 (x * (K(y,z) * u)) * K(z,L(y,K(y,z) * (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5388(a,1),12321(a,1,2,2,2))]. given #11161 (H,wt=32): 12323 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10706(a,1),12322(a,1,2))]. given #11162 (H,wt=30): 12324 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(9218(a,1),12323(a,1,2))]. given #11163 (H,wt=30): 12326 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5388(a,1),12324(a,2,2,1,1))]. given #11164 (H,wt=26): 12327 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(8505(a,1),12326(a,2,2,1))]. given #11165 (H,wt=40): 12314 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(8502(a,1),12301(a,1,1,1))]. given #11166 (H,wt=34): 12328 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(8519(a,1),12314(a,1,1,1)),flip(a)]. given #11167 (H,wt=32): 12329 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(8353(a,1),12328(a,2,2,1))]. given #11168 (H,wt=32): 12330 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(5626(a,2),12329(a,2,2,1,2))]. given #11169 (H,wt=32): 12331 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5626(a,2),12330(a,1,1,1))]. given #11170 (H,wt=32): 12332 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(7460(a,2),12331(a,1,1))]. given #11171 (H,wt=30): 12333 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(10076(a,1),12332(a,1,1))]. given #11172 (H,wt=28): 12334 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(8999(a,1),12333(a,1,2))]. given #11173 (H,wt=26): 12335 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(156(a,1),12334(a,1,2,2)),flip(a)]. given #11174 (H,wt=24): 12337 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(177(a,1),12335(a,2,2))]. given #11175 (H,wt=23): 12338 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [hyper(62,a,11604,a,b,12337,a)]. given #11176 (H,wt=18): 12339 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [hyper(11460,a,12338,a),flip(a)]. given #11177 (H,wt=41): 4952 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1210(a,1),4915(a,2,1,1))]. given #11178 (H,wt=41): 6522 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6445(a,1),1357(a,1,1)),flip(a)]. given #11179 (H,wt=37): 12341 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6445(a,1),6522(a,2,2,1,1))]. given #11180 (H,wt=33): 12342 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5336(a,1),12341(a,2,2,1))]. given #11181 (H,wt=41): 6714 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(6558(a,1),5089(a,1,1,1)),flip(a)]. given #11182 (H,wt=41): 6876 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6875(a,1),680(a,1,2,1)),flip(a)]. given #11183 (H,wt=33): 12346 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(10(a,1),6876(a,2,2,1,2))]. given #11184 (H,wt=31): 12347 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(273,a,210,a(flip),b,12346,a),flip(a)]. given #11185 (H,wt=25): 12348 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(210(a,1),12347(a,1,2))]. given #11186 (H,wt=25): 12349 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5388(a,1),12348(a,1,2,2))]. given #11187 (H,wt=41): 9633 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9631(a,1),2667(a,1,1,2,1))]. given #11188 (H,wt=41): 9730 (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8891(a,2),5199(a,2,1))]. given #11189 (H,wt=41): 10284 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(10283(a,1),9779(a,1,1,2))]. given #11190 (H,wt=31): 12352 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1806(a,1),10284(a,1,1))]. given #11191 (H,wt=19): 12353 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(273,a,10083,a(flip),b,12352,a),flip(a)]. given #11192 (H,wt=19): 12355 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(131,a,12353,a)]. given #11193 (H,wt=37): 12356 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(12355(a,1),12258(a,1,1))]. given #11194 (H,wt=35): 12357 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(6371(a,1),12356(a,1,2))]. given #11195 (H,wt=19): 12358 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1048,a,12357,a)]. given #11196 (H,wt=19): 12359 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(273,a,5388,a(flip),b,12358,a),flip(a)]. given #11197 (H,wt=29): 12360 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(62,a,7722,a,b,12359,a)]. given #11198 (H,wt=13): 12361 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3254,a,12360,a),flip(a)]. given #11199 (H,wt=19): 12362 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(9415,a,12361,a),flip(a)]. given #11200 (H,wt=15): 12364 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(9407,a,12362,a),flip(a)]. given #11201 (H,wt=29): 12366 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(12364(a,1),11218(a,1,1))]. given #11202 (H,wt=27): 12367 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5521,a,12366,a)]. given #11203 (H,wt=23): 12369 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(10603,a,12367,a)]. given #11204 (H,wt=27): 12368 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10649(a,1),12366(a,1,2,2))]. given #11205 (H,wt=27): 12371 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10607(a,1),12368(a,1,2))]. given #11206 (H,wt=19): 12372 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5438,a,12371,a)]. given #11207 (H,wt=17): 12376 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(62,a,11115,a(flip),b,12372,a)]. given #11208 (H,wt=17): 12378 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(12376(a,1),7212(a,1,1))]. given #11209 (H,wt=19): 12375 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(62,a,12369,a,b,12372,a)]. given #11210 (H,wt=19): 12380 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12375(a,1),10621(a,1,1)),flip(a)]. given #11211 (H,wt=15): 12381 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(47,a,12380,a)]. given #11212 (H,wt=22): 12373 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(12371(a,1),5437(a,1))]. given #11213 (H,wt=22): 12387 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(12369(a,2),12373(a,1))]. given #11214 (H,wt=23): 12383 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). [hyper(9114,a,12381,a),flip(a)]. given #11215 (H,wt=19): 12388 a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). [hyper(12387,a,12383,a),flip(a)]. given #11216 (H,wt=17): 12390 a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). [hyper(273,a,12237,a(flip),b,12388,a),flip(a)]. given #11217 (H,wt=32): 12385 a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [hyper(62,a,12219,a,b,12381,a)]. given #11218 (H,wt=32): 12391 a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(27(a,2),12385(a,1,1))]. given #11219 (H,wt=25): 12392 a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). [hyper(62,a,12390,a(flip),b,12391,a),flip(a)]. given #11220 (H,wt=25): 12393 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(12392(a,1),10612(a,1,1))]. given #11221 (H,wt=25): 12394 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(273,a,7495,a(flip),b,12393,a),flip(a)]. given #11222 (H,wt=40): 12384 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(273,a,7779,a,b,12381,a)]. given #11223 (H,wt=38): 12395 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(7814(a,1),12384(a,1,1,2))]. given #11224 (H,wt=36): 12396 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(579(a,1),12395(a,1,1))]. given #11225 (H,wt=34): 12397 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(211(a,1),12396(a,1,2)),flip(a)]. given #11226 (H,wt=27): 12398 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(273,a,2024,a(flip),b,12397,a),flip(a)]. given #11227 (H,wt=27): 12399 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(27(a,2),12398(a,2,3))]. given #11228 (H,wt=27): 12400 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(62,a,12381,a(flip),b,12399,a)]. given #11229 (H,wt=23): 12401 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(12387,a,12400,a)]. given #11230 (H,wt=21): 12403 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(62,a,12238,a(flip),b,12401,a),flip(a)]. given #11231 (H,wt=27): 12405 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(62,a,11703,a,b,12403,a)]. given #11232 (H,wt=25): 12406 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(12087,a,12405,a)]. given #11233 (H,wt=28): 12407 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12406(a,1),12171(a,1,2)),flip(a)]. given #11234 (H,wt=26): 12408 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(22(a,2),12407(a,2,2,2))]. given #11235 (H,wt=24): 12409 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(12237(a,1),12408(a,2,2))]. given #11236 (H,wt=41): 12036 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1420(a,1),12026(a,1,1))]. given #11237 (H,wt=37): 12410 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(7952(a,1),12036(a,1,2)),flip(a)]. given #11238 (H,wt=41): 12345 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). [para(4163(a,1),6714(a,2,1))]. given #11239 (H,wt=34): 12412 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). [hyper(273,a,8514,a(flip),b,12345,a),flip(a)]. given #11240 (H,wt=27): 12413 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [hyper(273,a,6028,a(flip),b,12412,a),flip(a)]. given #11241 (H,wt=25): 12416 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(4475(a,1),12413(a,1,1))]. given #11242 (H,wt=18): 12417 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [hyper(62,a,6028,a(flip),b,12416,a)]. given #11243 (H,wt=25): 12420 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(12417(a,1),7273(a,1,2))]. given #11244 (H,wt=23): 12421 K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). [hyper(62,a,3817,a(flip),b,12420,a)]. given #11245 (H,wt=19): 12423 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [hyper(62,a,6271,a(flip),b,12421,a)]. given #11246 (H,wt=19): 12424 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [hyper(62,a,11759,a,b,12423,a)]. given #11247 (H,wt=25): 12425 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(12424(a,1),11758(a,1,2,1,1))]. given #11248 (H,wt=25): 12426 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(6166(a,1),12425(a,1,2,1))]. given #11249 (H,wt=25): 12427 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(11879(a,1),12426(a,1,2,1,2,1))]. given #11250 (H,wt=23): 12428 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(5137(a,1),12427(a,1,2,1))]. given #11251 (H,wt=13): 12429 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(62,a,7761,a(flip),b,12428,a),flip(a)]. given #11252 (H,wt=13): 12430 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(62,a,11879,a(flip),b,12429,a),flip(a)]. given #11253 (H,wt=16): 12431 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(62,a,11408,a(flip),b,12429,a),flip(a)]. given #11254 (H,wt=16): 12440 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(12430(a,2),11880(a,1))]. given #11255 (H,wt=17): 12433 L(K(x \ 1,y),x,z) != u | K(x \ 1,y) = u. [para(12429(a,2),7113(a,1))]. given #11256 (H,wt=17): 12434 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(12429(a,1),10471(a,1,2))]. given #11257 (H,wt=15): 12445 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(10495,a,12434,a)]. given #11258 (H,wt=17): 12446 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [hyper(8238,a,12434,a)]. given #11259 (H,wt=18): 12432 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(456(a,1),12429(a,2,1))]. given #11260 (H,wt=18): 12436 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(456(a,1),12430(a,1,1)),flip(a)]. given #11261 (H,wt=18): 12448 a(x,y,K(z,u)) != w | a(x,y * u,K(z,u)) = w. [para(12434(a,1),10495(a,1))]. given #11262 (H,wt=19): 12438 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(12430(a,1),8230(a,1,2))]. given #11263 (H,wt=19): 12449 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [hyper(273,a,11893,a,b,12445,a)]. given #11264 (H,wt=15): 12453 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(34,a,11893,a,b,12449,a)]. given #11265 (H,wt=17): 12454 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(10(a,1),12453(a,1,2,2))]. given #11266 (H,wt=19): 12451 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(456(a,1),12436(a,1,2))]. given #11267 (H,wt=19): 12452 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(62,a,11911,a(flip),b,12438,a),flip(a)]. given #11268 (H,wt=19): 12456 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(10(a,1),12451(a,1,2)),flip(a)]. given #11269 (H,wt=19): 12458 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(10(a,1),12456(a,1,1)),flip(a)]. given #11270 (H,wt=18): 12461 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(62,a,11884,a(flip),b,12458,a),flip(a)]. given #11271 (H,wt=18): 12462 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1302(a,2),12461(a,1,2))]. given #11272 (H,wt=18): 12463 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [para(11086(a,1),12462(a,1,2))]. given #11273 (H,wt=20): 12435 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(12429(a,1),10486(a,1,2))]. given #11274 (H,wt=18): 12464 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(10482(a,1),12435(a,1))]. given #11275 (H,wt=20): 12444 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(8443(a,2),12440(a,1))]. given #11276 (H,wt=20): 12465 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(12449(a,2),12464(a,1))]. given #11277 (H,wt=21): 12442 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(62,a,10432,a(flip),b,12431,a)]. given #11278 (H,wt=20): 12467 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(62,a,11149,a(flip),b,12442,a)]. given #11279 (H,wt=21): 12450 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(12445(a,1),10512(a,2,2))]. given #11280 (H,wt=22): 12439 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(12430(a,1),8308(a,1,2))]. given #11281 (H,wt=23): 12437 ((x * y) * K(z,L(u,y,x))) \ (x * (y * T(z,u))) = L(z,y,x). [para(12430(a,1),6422(a,1,1,2))]. given #11282 (H,wt=20): 12472 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y,x). [para(11887(a,1),12437(a,1,1))]. given #11283 (H,wt=13): 12473 L(x,y * K(x,z),u) = L(x,y,u). [hyper(62,a,6429,a(flip),b,12472,a)]. given #11284 (H,wt=13): 12475 L(x,K(y,x) * z,u) = L(x,z,u). [para(7486(a,1),12473(a,1,2)),flip(a)]. given #11285 (H,wt=15): 12476 L(x,T(x,y) \ z,u) = L(x,x \ z,u). [para(5518(a,1),12475(a,1,2))]. given #11286 (H,wt=23): 12447 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(9056(a,1),12434(a,1,2))]. given #11287 (H,wt=23): 12477 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). [hyper(7539,a,12447,a)]. given #11288 (H,wt=25): 12443 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(856(a,1),12431(a,1,1)),flip(a)]. given #11289 (H,wt=25): 12479 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(273,a,8856,a(flip),b,12443,a),flip(a)]. given #11290 (H,wt=21): 12480 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(273,a,621,a(flip),b,12479,a),flip(a)]. given #11291 (H,wt=21): 12482 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(62,a,8856,a(flip),b,12480,a)]. given #11292 (H,wt=21): 12483 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10637,a,12482,a)]. given #11293 (H,wt=26): 12478 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(12447(a,1),7539(a,1))]. given #11294 (H,wt=27): 12459 K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). [hyper(273,a,5721,a,b,12458,a),flip(a)]. given #11295 (H,wt=23): 12484 K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). [hyper(62,a,5681,a(flip),b,12459,a),flip(a)]. given #11296 (H,wt=19): 12485 K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). [para(77(a,1),12484(a,1,2,1)),flip(a)]. given #11297 (H,wt=19): 12486 K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. [hyper(62,a,11978,a(flip),b,12485,a),flip(a)]. given #11298 (H,wt=28): 12469 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,10952,a(flip),b,12467,a),flip(a)]. given #11299 (H,wt=24): 12487 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,12483,a(flip),b,12469,a)]. given #11300 (H,wt=22): 12488 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,8357,a(flip),b,12487,a)]. given #11301 (H,wt=22): 12489 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7662,a,12488,a)]. given #11302 (H,wt=22): 12490 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(273,a,10257,a(flip),b,12489,a),flip(a)]. given #11303 (H,wt=20): 12491 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(64(a,1),12490(a,2,1))]. given #11304 (H,wt=28): 12470 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,10950,a(flip),b,12467,a),flip(a)]. given #11305 (H,wt=24): 12492 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,12483,a(flip),b,12470,a)]. given #11306 (H,wt=24): 12493 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,11463,a(flip),b,12492,a)]. given #11307 (H,wt=24): 12494 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(273,a,10429,a(flip),b,12493,a),flip(a)]. given #11308 (H,wt=24): 12495 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(7662,a,12494,a)]. given #11309 (H,wt=21): 12496 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(62,a,12491,a(flip),b,12495,a),flip(a)]. given #11310 (H,wt=21): 12497 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(62,a,10429,a,b,12496,a)]. given #11311 (H,wt=21): 12498 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(62,a,9799,a,b,12496,a)]. given #11312 (H,wt=21): 12500 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(62,a,10257,a,b,12498,a)]. given #11313 (H,wt=22): 12499 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(62,a,9221,a(flip),b,12496,a),flip(a)]. given #11314 (H,wt=22): 12502 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(273,a,11863,a(flip),b,12499,a),flip(a)]. given #11315 (H,wt=24): 12501 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(62,a,11913,a(flip),b,12500,a),flip(a)]. given #11316 (H,wt=29): 12441 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(12430(a,1),11971(a,1,2,1))]. given #11317 (H,wt=27): 12503 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5178(a,1),12441(a,1,2))]. given #11318 (H,wt=25): 12504 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11902(a,1),12503(a,1,2)),flip(a)]. given #11319 (H,wt=30): 12455 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(11057(a,1),12454(a,2,2))]. given #11320 (H,wt=30): 12471 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(12450(a,1),10221(a,2,2))]. given #11321 (H,wt=28): 12506 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11933(a,1),12471(a,1,2))]. given #11322 (H,wt=23): 12507 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(7760,a,12506,a),flip(a)]. given #11323 (H,wt=23): 12508 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(12430(a,1),12507(a,2,1))]. given #11324 (H,wt=19): 12509 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(273,a,11893,a(flip),b,12508,a),flip(a)]. given #11325 (H,wt=15): 12510 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(328,a,12509,a),flip(a)]. given #11326 (H,wt=15): 12512 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(9(a,1),12510(a,1,3,1)),flip(a)]. given #11327 (H,wt=15): 12513 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5397(a,1),12510(a,1,3)),flip(a)]. given #11328 (H,wt=10): 12517 a(x,y,K(x * z,z)) = 1. [hyper(273,a,9873,a(flip),b,12513,a),flip(a)]. given #11329 (H,wt=14): 12519 L(K(x * y,y),z,x) = K(x * y,y). [hyper(51,a,12517,a)]. given #11330 (H,wt=19): 12514 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6497(a,1),12510(a,1,3))]. given #11331 (H,wt=19): 12515 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(10944(a,2),12510(a,1,3))]. given #11332 (H,wt=23): 12516 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(12512(a,2),10843(a,1,1))]. given #11333 (H,wt=15): 12521 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10844,a,12516,a)]. given #11334 (H,wt=17): 12522 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(62,a,12514,a,b,12521,a)]. given #11335 (H,wt=23): 12520 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(12519(a,1),7479(a,2,1))]. given #11336 (H,wt=21): 12523 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(10076(a,1),12520(a,1,2,2))]. given #11337 (H,wt=19): 12524 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7476(a,1),12523(a,1,2)),flip(a)]. given #11338 (H,wt=19): 12525 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [hyper(287,a,12524,a),flip(a)]. given #11339 (H,wt=30): 12505 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(62,a,12497,a(flip),b,12455,a),flip(a)]. given #11340 (H,wt=27): 12526 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(273,a,12502,a(flip),b,12505,a),flip(a)]. given #11341 (H,wt=24): 12527 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(62,a,11882,a(flip),b,12526,a)]. given #11342 (H,wt=24): 12528 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(62,a,12497,a(flip),b,12527,a)]. given #11343 (H,wt=19): 12529 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(62,a,12501,a(flip),b,12528,a)]. given #11344 (H,wt=17): 12530 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(22(a,2),12529(a,2,1,2))]. given #11345 (H,wt=17): 12531 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(62,a,11466,a(flip),b,12530,a)]. given #11346 (H,wt=21): 12532 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(12531(a,1),5419(a,1,2,1)),flip(a)]. given #11347 (H,wt=17): 12533 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(273,a,5419,a(flip),b,12532,a),flip(a)]. given #11348 (H,wt=31): 12518 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(12513(a,1),12504(a,2,2,2))]. given #11349 (H,wt=29): 12534 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(273,a,5512,a(flip),b,12518,a),flip(a)]. given #11350 (H,wt=32): 12460 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(62,a,11885,a(flip),b,12458,a),flip(a)]. given #11351 (H,wt=32): 12535 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1302(a,2),12460(a,1,2))]. given #11352 (H,wt=38): 12457 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4453(a,1),12452(a,1,1))]. given #11353 (H,wt=36): 12536 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(9821(a,1),12457(a,1,2))]. given #11354 (H,wt=34): 12537 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(4339(a,1),12536(a,1,2)),flip(a)]. given #11355 (H,wt=34): 12538 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(23(a,1),12537(a,2,2))]. given #11356 (H,wt=30): 12539 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(273,a,9852,a(flip),b,12538,a),flip(a)]. given #11357 (H,wt=30): 12540 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(12430(a,1),12539(a,2,1))]. given #11358 (H,wt=28): 12541 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(273,a,9868,a(flip),b,12540,a),flip(a)]. given #11359 (H,wt=26): 12542 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7459(a,1),12541(a,1,2,3))]. given #11360 (H,wt=22): 12543 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4240(a,1),12542(a,1,2,3))]. given #11361 (H,wt=26): 12544 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(62,a,12534,a,b,12543,a)]. given #11362 (H,wt=26): 12545 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11879(a,1),12544(a,1,1))]. given #11363 (H,wt=20): 12546 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3203(a,1),12545(a,1,2)),flip(a)]. given #11364 (H,wt=20): 12547 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(273,a,5388,a(flip),b,12546,a),flip(a)]. given #11365 (H,wt=20): 12548 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(12430(a,1),12547(a,2,1))]. given #11366 (H,wt=18): 12549 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(273,a,5173,a,b,12548,a),flip(a)]. given #11367 (H,wt=21): 12550 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(62,a,12300,a,b,12549,a)]. given #11368 (H,wt=41): 12351 (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8443(a,2),9730(a,1,2,2))]. given #11369 (H,wt=35): 12551 (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). [para(8815(a,1),12351(a,1,2,2)),flip(a)]. given #11370 (H,wt=25): 12552 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(34,a,11399,a(flip),b,12551,a),flip(a)]. given #11371 (H,wt=23): 12554 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8892,a,12552,a)]. given #11372 (H,wt=23): 12555 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8515,a,12554,a)]. given #11373 (H,wt=26): 12556 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(12555(a,2),42(a,1))]. given #11374 (H,wt=42): 10722 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10720(a,1),588(a,1,1,1)),flip(a)]. given #11375 (H,wt=37): 12557 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(273,a,476,a(flip),b,10722,a),flip(a)]. given #11376 (H,wt=33): 12558 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(62,a,1325,a(flip),b,12557,a)]. given #11377 (H,wt=33): 12559 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5432(a,1),12558(a,1,1,2,1))]. given #11378 (H,wt=31): 12560 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5895(a,1),12559(a,1,1,2,1))]. given #11379 (H,wt=25): 12561 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8581(a,1),12560(a,1,1,2,1)),flip(a)]. given #11380 (H,wt=25): 12562 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(62,a,4420,a(flip),b,12561,a),flip(a)]. given #11381 (H,wt=41): 12564 (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(12562(a,1),1082(a,2,1,2)),flip(a)]. given #11382 (H,wt=41): 12565 (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(5388(a,1),12564(a,1,1))]. given #11383 (H,wt=33): 12566 (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(10523(a,1),12565(a,1,1))]. given #11384 (H,wt=15): 12567 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(331,a,12566,a)]. given #11385 (H,wt=13): 12571 R(K(x,y),R(x,z,u),w) = K(x,y). [para(107(a,1),12567(a,1,2,1))]. given #11386 (H,wt=19): 12572 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(62,a,9116,a(flip),b,12571,a)]. given #11387 (H,wt=23): 12570 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(62,a,6185,a(flip),b,12567,a)]. given #11388 (H,wt=23): 12574 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(273,a,7578,a(flip),b,12570,a),flip(a)]. given #11389 (H,wt=21): 12576 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(62,a,8033,a(flip),b,12574,a),flip(a)]. given #11390 (H,wt=19): 12578 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(273,a,12572,a(flip),b,12576,a),flip(a)]. given #11391 (H,wt=19): 12579 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(9466,a,12578,a)]. given #11392 (H,wt=26): 12575 K(x,R(T(x,y),z,u) * (w \ 1)) != v5 | K(x,w \ R(T(x,y),z,u)) = v5. [para(12570(a,2),9467(a,1))]. given #11393 (H,wt=42): 10772 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(991(a,1),10770(a,1,2,2,1))]. given #11394 (H,wt=36): 12581 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(62,a,7433,a(flip),b,10772,a),flip(a)]. given #11395 (H,wt=42): 12350 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(273,a,2507,a(flip),b,12349,a),flip(a)]. given #11396 (H,wt=40): 12583 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5368(a,1),12350(a,2,1,2,1))]. given #11397 (H,wt=36): 12584 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(10471(a,1),12583(a,2,1))]. given #11398 (H,wt=34): 12585 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6280(a,1),12584(a,1,2,2,2,1))]. given #11399 (H,wt=26): 12586 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(62,a,12349,a(flip),b,12585,a)]. given #11400 (H,wt=19): 12587 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(62,a,11294,a(flip),b,12586,a)]. given #11401 (H,wt=16): 12588 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6548(a,1),12587(a,1,3)),flip(a)]. given #11402 (H,wt=11): 12590 a(x,y,a(z,u,K(y,w))) = 1. [hyper(52,a,12588,a)]. given #11403 (H,wt=13): 12591 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8542(a,1),12590(a,1,3,3))]. given #11404 (H,wt=19): 12589 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11879(a,1),12587(a,1,3))]. given #11405 (H,wt=43): 8164 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(7213(a,1),8162(a,1,1,2,1,2))]. given #11406 (H,wt=33): 12592 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4842(a,1),8164(a,1,1))]. given #11407 (H,wt=23): 12594 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(7213(a,1),12592(a,1,2,1,2))]. given #11408 (H,wt=17): 12595 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2794,a,12594,a)]. given #11409 (H,wt=17): 12596 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(115,a,12594,a(flip),b,2785,a(flip))]. given #11410 (H,wt=20): 12598 (x \ 1) \ (L(x,y,z) \ 1) != u | L(x,y,z) \ x = u. [para(12595(a,1),288(a,1,2))]. given #11411 (H,wt=21): 12597 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(273,a,6392,a,b,12595,a)]. given #11412 (H,wt=15): 12600 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2191,a,12597,a)]. given #11413 (H,wt=15): 12601 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(273,a,9626,a(flip),b,12600,a),flip(a)]. given #11414 (H,wt=15): 12602 (x \ L(x,y,z)) * (L(x,y,z) \ x) = 1. [hyper(131,a,12600,a)]. given #11415 (H,wt=18): 12603 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(12600(a,1),225(a,1,2))]. given #11416 (H,wt=27): 12599 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(62,a,3031,a,b,12596,a)]. given #11417 (H,wt=38): 12605 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(12599(a,1),3858(a,2,1)),flip(a)]. given #11418 (H,wt=36): 12606 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4756(a,1),12605(a,1,2))]. given #11419 (H,wt=32): 12607 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5040(a,1),12606(a,1,2))]. given #11420 (H,wt=14): 12608 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(62,a,8143,a(flip),b,12607,a),flip(a)]. given #11421 (H,wt=13): 12610 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(192(a,1),12608(a,1,2,2,1))]. given #11422 (H,wt=19): 12611 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(12610(a,1),4829(a,1,2))]. given #11423 (H,wt=27): 12612 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(12611(a,1),7762(a,2,1))]. given #11424 (H,wt=39): 12604 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(12601(a,1),9633(a,1,1,2))]. given #11425 (H,wt=39): 12613 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9631(a,1),12604(a,1,2,1))]. given #11426 (H,wt=39): 12614 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(11166(a,1),12613(a,1,2,2))]. given #11427 (H,wt=32): 12615 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2458(a,1),12614(a,1,2)),flip(a)]. given #11428 (H,wt=32): 12617 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(9631(a,1),12615(a,1,2,1))]. given #11429 (H,wt=30): 12618 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(12601(a,1),12617(a,1,2)),flip(a)]. given #11430 (H,wt=30): 12619 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9631(a,1),12618(a,2,3))]. given #11431 (H,wt=43): 9101 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(904(a,2),8257(a,2,2))]. given #11432 (H,wt=41): 12620 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(5368(a,1),9101(a,1,1,1,2,1))]. given #11433 (H,wt=41): 12621 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(9130(a,1),12620(a,1,1,1))]. given #11434 (H,wt=41): 12622 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(11646(a,1),12621(a,1,1))]. given #11435 (H,wt=37): 12623 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(10471(a,1),12622(a,1,1,2))]. given #11436 (H,wt=35): 12624 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(5368(a,1),12623(a,1,3,1))]. given #11437 (H,wt=25): 12625 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(9486,a,12624,a),flip(a)]. given #11438 (H,wt=23): 12627 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(5370(a,1),12625(a,1,2,1))]. given #11439 (H,wt=21): 12628 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(5370(a,1),12627(a,1,2,2,1))]. given #11440 (H,wt=17): 12629 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(10472(a,1),12628(a,1,2))]. given #11441 (H,wt=17): 12630 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(530,a,12629,a)]. given #11442 (H,wt=20): 12632 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(12629(a,1),290(a,1,1))]. given #11443 (H,wt=24): 12631 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(62,a,5234,a(flip),b,12629,a),flip(a)]. given #11444 (H,wt=21): 12635 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(62,a,11743,a(flip),b,12631,a)]. given #11445 (H,wt=25): 12633 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(12629(a,1),406(a,1,1))]. given #11446 (H,wt=28): 12634 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(267(a,1),12632(a,1))]. given #11447 (H,wt=43): 9479 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(9472(a,1),2448(a,1,1,1))]. given #11448 (H,wt=36): 12636 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(9472(a,1),9479(a,1,1,2,1,1)),flip(a)]. given #11449 (H,wt=32): 12637 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(9(a,1),12636(a,2,1,2,1))]. given #11450 (H,wt=25): 12639 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9472(a,1),12637(a,1,1)),flip(a)]. given #11451 (H,wt=25): 12640 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2233(a,1),12639(a,2,2))]. given #11452 (H,wt=25): 12641 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(62,a,9768,a,b,12640,a)]. given #11453 (H,wt=25): 12643 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(332,a,12641,a)]. given #11454 (H,wt=37): 12642 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(12640(a,1),11744(a,1,1))]. given #11455 (H,wt=33): 12644 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5420(a,1),12642(a,1,1,2))]. given #11456 (H,wt=21): 12645 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(9487,a,12644,a),flip(a)]. given #11457 (H,wt=19): 12646 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4971,a,12645,a)]. given #11458 (H,wt=12): 12648 K(x,a(K(y,z),u,u \ 1)) = 1. [para(12646(a,1),10747(a,1,2))]. given #11459 (H,wt=12): 12649 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(55,a,12648,a)]. given #11460 (H,wt=12): 12650 T(x,a(K(y,z),u \ 1,u)) = x. [para(3812(a,1),12649(a,1,2))]. given #11461 (H,wt=19): 12651 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(53,a,12650,a)]. given #11462 (H,wt=23): 12652 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(273,a,3801,a,b,12651,a),flip(a)]. given #11463 (H,wt=27): 12653 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5435(a,2),12652(a,1,1))]. given #11464 (H,wt=29): 12654 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(62,a,10336,a,b,12653,a)]. given #11465 (H,wt=33): 12655 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(62,a,8962,a,b,12654,a)]. given #11466 (H,wt=16): 12656 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(11246,a,12655,a)]. given #11467 (H,wt=16): 12657 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2585(a,1),12656(a,1,2,2))]. given #11468 (H,wt=16): 12658 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(273,a,8458,a,b,12657,a),flip(a)]. given #11469 (H,wt=17): 12660 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(489(a,1),12658(a,1,2,2))]. given #11470 (H,wt=17): 12661 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5705(a,1),12660(a,1,2)),flip(a)]. given #11471 (H,wt=17): 12662 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5708(a,2),12660(a,1,2))]. given #11472 (H,wt=17): 12663 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(9462,a,12661,a)]. given #11473 (H,wt=17): 12664 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(9423,a,12661,a)]. given #11474 (H,wt=17): 12666 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(7874(a,1),12662(a,1,2)),flip(a)]. given #11475 (H,wt=17): 12667 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(12(a,1),12663(a,2,2,2))]. given #11476 (H,wt=17): 12668 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(5716(a,2),12663(a,1,2))]. given #11477 (H,wt=17): 12669 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(273,a,8458,a,b,12664,a),flip(a)]. given #11478 (H,wt=17): 12671 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(9429,a,12667,a)]. given #11479 (H,wt=17): 12674 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(62,a,8773,a(flip),b,12671,a)]. given #11480 (H,wt=16): 12677 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(12674(a,1),10416(a,1,1))]. given #11481 (H,wt=16): 12678 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8458(a,1),12677(a,1,1))]. given #11482 (H,wt=16): 12680 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(62,a,9373,a(flip),b,12678,a)]. given #11483 (H,wt=16): 12681 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(74(a,1),12680(a,1,2,2,2))]. given #11484 (H,wt=17): 12676 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(12674(a,1),9704(a,1,1))]. given #11485 (H,wt=17): 12682 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8484,a,12676,a)]. given #11486 (H,wt=17): 12683 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(74(a,1),12676(a,1,2)),flip(a)]. given #11487 (H,wt=17): 12685 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8411(a,1),12682(a,1,1))]. given #11488 (H,wt=17): 12686 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8443(a,1),12683(a,2,1))]. given #11489 (H,wt=17): 12687 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9706,a,12685,a)]. given #11490 (H,wt=17): 12688 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(171,a,12686,a)]. given #11491 (H,wt=14): 12690 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(62,a,5256,a,b,12688,a)]. given #11492 (H,wt=12): 12691 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(52,a,12690,a)]. given #11493 (H,wt=12): 12692 a(K(x * y,K(z,u)),x,y) = 1. [para(9(a,1),12691(a,1,3))]. given #11494 (H,wt=12): 12693 a(K(K(x,y),z),u,u \ z) = 1. [para(8190(a,2),12691(a,1,1))]. given #11495 (H,wt=12): 12694 a(K(x,K(y,z * u)),z,u) = 1. [para(8411(a,1),12692(a,1,1))]. given #11496 (H,wt=18): 12659 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(12657(a,1),8445(a,1,2)),flip(a)]. given #11497 (H,wt=16): 12696 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(273,a,8416,a(flip),b,12659,a),flip(a)]. given #11498 (H,wt=19): 12665 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7502(a,1),12661(a,1,2)),flip(a)]. given #11499 (H,wt=19): 12697 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7501(a,1),12665(a,1,2))]. given #11500 (H,wt=22): 12673 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(10589,a,12669,a),flip(a)]. given #11501 (H,wt=22): 12695 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(273,a,8478,a,b,12693,a),flip(a)]. given #11502 (H,wt=22): 12698 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(12(a,1),12673(a,1,2,1)),flip(a)]. given #11503 (H,wt=22): 12700 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [hyper(9429,a,12698,a)]. given #11504 (H,wt=22): 12701 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [hyper(62,a,12697,a(flip),b,12700,a)]. given #11505 (H,wt=22): 12702 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(12701(a,1),9210(a,2,2))]. given #11506 (H,wt=22): 12703 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(8440(a,1),12702(a,2,2))]. given #11507 (H,wt=23): 12670 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(12666(a,1),8454(a,1,2))]. given #11508 (H,wt=19): 12704 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(62,a,8432,a(flip),b,12670,a),flip(a)]. given #11509 (H,wt=19): 12705 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7460(a,2),12704(a,2,1))]. given #11510 (H,wt=17): 12706 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8907(a,1),12705(a,2,1))]. given #11511 (H,wt=23): 12707 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(12706(a,2),8230(a,1,1))]. given #11512 (H,wt=27): 12699 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(12681(a,1),12695(a,2,2))]. given #11513 (H,wt=27): 12708 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8443(a,2),12699(a,2,2))]. given #11514 (H,wt=27): 12709 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8190(a,1),12708(a,1,1))]. given #11515 (H,wt=29): 12672 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(12668(a,1),11903(a,1,3))]. given #11516 (H,wt=36): 12689 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(8171(a,1),12687(a,1,1,1,1))]. given #11517 (H,wt=31): 12710 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5520(a,2),12689(a,1,1))]. given #11518 (H,wt=31): 12711 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(9424,a,12710,a)]. given #11519 (H,wt=29): 12712 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(62,a,12664,a(flip),b,12711,a)]. given #11520 (H,wt=25): 12713 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(12(a,1),12712(a,1,2,2)),flip(a)]. given #11521 (H,wt=25): 12714 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(9425,a,12713,a)]. given #11522 (H,wt=43): 9558 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(62,a,504,a,b,9122,a)]. given #11523 (H,wt=43): 9601 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(610(a,1),8390(a,1,1,2,1)),flip(a)]. given #11524 (H,wt=40): 12715 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(2826(a,1),9601(a,2,1,2))]. given #11525 (H,wt=28): 12716 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(610(a,1),12715(a,1,1,2,2))]. given #11526 (H,wt=26): 12717 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(2880(a,1),12716(a,1,1,2))]. given #11527 (H,wt=24): 12718 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(62,a,5772,a(flip),b,12717,a),flip(a)]. given #11528 (H,wt=44): 11191 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5441(a,1),11189(a,2,2))]. given #11529 (H,wt=44): 12719 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5388(a,1),11191(a,1,1,1))]. given #11530 (H,wt=45): 5196 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(5118(a,1),2409(a,1,1,1)),flip(a)]. given #11531 (H,wt=39): 12720 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5118(a,1),5196(a,2,2,1,1,1))]. given #11532 (H,wt=33): 12721 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5118(a,1),12720(a,1,1))]. given #11533 (H,wt=31): 12722 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5895(a,1),12721(a,1,2,1))]. given #11534 (H,wt=31): 12723 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5388(a,1),12722(a,1,2,2))]. given #11535 (H,wt=31): 12724 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5388(a,1),12723(a,2,2,1,2))]. given #11536 (H,wt=43): 12725 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9630(a,2),12724(a,2,1))]. given #11537 (H,wt=41): 12726 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9868(a,1),12725(a,1,2,2))]. given #11538 (H,wt=41): 12727 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6447(a,1),12726(a,1,2))]. given #11539 (H,wt=37): 12728 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(9891(a,1),12727(a,1,2,2)),flip(a)]. given #11540 (H,wt=33): 12729 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [hyper(273,a,9,a(flip),b,12728,a),flip(a)]. given #11541 (H,wt=33): 12731 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(9630(a,1),12729(a,1,1))]. given #11542 (H,wt=31): 12732 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(9868(a,1),12731(a,1,2,1,2))]. given #11543 (H,wt=21): 12733 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(9926(a,1),12732(a,1,2,1))]. given #11544 (H,wt=21): 12734 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(34,a,5047,a,b,12733,a)]. given #11545 (H,wt=20): 12736 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(648(a,1),12734(a,1,2))]. given #11546 (H,wt=20): 12737 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(62,a,6324,a(flip),b,12736,a)]. given #11547 (H,wt=20): 12738 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7501(a,1),12737(a,1,2))]. given #11548 (H,wt=22): 12740 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12738(a,1),6411(a,1,1)),flip(a)]. given #11549 (H,wt=18): 12741 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(273,a,5047,a(flip),b,12740,a),flip(a)]. given #11550 (H,wt=22): 12742 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(9288(a,1),12741(a,1,2))]. given #11551 (H,wt=22): 12743 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7586(a,2),12742(a,1,1))]. given #11552 (H,wt=24): 12739 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(12737(a,1),9502(a,1,2))]. given #11553 (H,wt=17): 12744 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(11231(a,1),12739(a,1,1,2))]. given #11554 (H,wt=16): 12745 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(62,a,12619,a(flip),b,12744,a)]. given #11555 (H,wt=14): 12747 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(12030(a,1),12745(a,1,2))]. given #11556 (H,wt=45): 5746 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(5339(a,1),695(a,1,1))]. given #11557 (H,wt=33): 12748 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(62,a,6069,a(flip),b,5746,a),flip(a)]. given #11558 (H,wt=29): 12750 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(62,a,6325,a(flip),b,12748,a)]. given #11559 (H,wt=29): 12751 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(62,a,7074,a(flip),b,12750,a)]. given #11560 (H,wt=25): 12752 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(11(a,1),12751(a,1,2,1))]. given #11561 (H,wt=25): 12753 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(62,a,7970,a(flip),b,12752,a)]. given #11562 (H,wt=25): 12754 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(273,a,7850,a(flip),b,12753,a),flip(a)]. given #11563 (H,wt=45): 7770 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7750(a,2),1593(a,2,1,2))]. given #11564 (H,wt=45): 8342 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). [para(8233(a,1),4953(a,1,2,1))]. given #11565 (H,wt=45): 12755 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5388(a,1),7770(a,1,2,1))]. given #11566 (H,wt=45): 12756 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5388(a,1),12755(a,1,2,2,1,1))]. given #11567 (H,wt=45): 12757 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(809(a,1),12756(a,1,2))]. given #11568 (H,wt=37): 12758 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(7786(a,1),12757(a,1,2))]. given #11569 (H,wt=31): 12759 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(62,a,5480,a(flip),b,12758,a),flip(a)]. given #11570 (H,wt=27): 12761 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3109(a,1),12759(a,2,1))]. given #11571 (H,wt=19): 12762 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6329(a,1),12761(a,1,1))]. given #11572 (H,wt=12): 12763 R(K(x,y),K(y,z),u) = K(x,y). [hyper(854,a,12762,a)]. given #11573 (H,wt=19): 12764 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(9(a,1),12762(a,1,2))]. given #11574 (H,wt=10): 12767 L(x,K(y,z),K(u,y)) = x. [hyper(450,a,12764,a)]. given #11575 (H,wt=18): 12774 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(12043(a,1),12764(a,1,1)),flip(a)]. given #11576 (H,wt=8): 12780 T(x,a(y,z,y)) = x. [hyper(12110,a,12774,a)]. given #11577 (H,wt=8): 12788 K(x,a(y,z,y)) = 1. [hyper(54,a,12780,a)]. given #11578 (H,wt=10): 12791 T(x,y \ R(y,z,y)) = x. [para(12030(a,2),12780(a,1,2))]. given #11579 (H,wt=10): 12793 x * K(y,a(z,u,z)) = x. [para(12788(a,2),8(a,1,2))]. given #11580 (H,wt=11): 12782 T(a(x,y,x),z) = a(x,y,x). [hyper(212,a,12774,a(flip),b,12055,a(flip))]. given #11581 (H,wt=13): 12779 a(x,y,x) * z = z * a(x,y,x). [hyper(12111,a,12774,a),flip(a)]. given #11582 (H,wt=13): 12786 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(2187,a,12780,a)]. given #11583 (H,wt=13): 12787 x / a(y,z,y) = a(y,z,y) \ x. [hyper(383,a,12780,a),flip(a)]. given #11584 (H,wt=13): 12789 (a(x,y,x) \ z) \ z = a(x,y,x). [hyper(38,a,4215,a(flip),b,12780,a(flip))]. given #11585 (H,wt=13): 12794 x * K(y,a(z,u,z)) != w | x = w. [para(12788(a,2),125(a,1,2))]. given #11586 (H,wt=11): 12814 K(x,a(y,z,y)) != u | 1 = u. [para(7(a,1),12794(a,1))]. given #11587 (H,wt=13): 12801 T(a(x,y,x),z) = T(a(x,y,x),u). [hyper(273,a,12782,a,b,12782,a)]. given #11588 (H,wt=13): 12802 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(273,a,12030,a,b,12782,a),flip(a)]. given #11589 (H,wt=14): 12803 a(x,y,x) != z | T(a(x,y,x),u) = z. [para(12782(a,1),4350(a,1))]. given #11590 (H,wt=15): 12806 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(273,a,12076,a(flip),b,12779,a),flip(a)]. given #11591 (H,wt=15): 12807 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(273,a,12032,a(flip),b,12779,a),flip(a)]. given #11592 (H,wt=15): 12808 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(115,a,12099,a(flip),b,12779,a)]. given #11593 (H,wt=15): 12810 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(12030(a,2),12779(a,2,2)),flip(a)]. given #11594 (H,wt=15): 12812 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12787(a,1),12108(a,1,2))]. given #11595 (H,wt=15): 12813 x / T(a(y,z,y),u) = a(y,z,y) \ x. [para(12782(a,2),12787(a,1,2))]. given #11596 (H,wt=16): 12785 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(12774(a,1),12111(a,1))]. given #11597 (H,wt=16): 12790 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12780(a,1),383(a,1))]. given #11598 (H,wt=16): 12799 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12793(a,1),265(a,1))]. given #11599 (H,wt=16): 12809 x * a(y,z,y) != u | a(y,z,y) \ u = x. [para(12779(a,1),122(a,1))]. given #11600 (H,wt=17): 12795 x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. [hyper(383,a,12791,a),flip(a)]. given #11601 (H,wt=18): 12781 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [hyper(62,a,8050,a,b,12774,a)]. given #11602 (H,wt=18): 12784 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5626(a,2),12774(a,1,1))]. given #11603 (H,wt=18): 12811 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(12779(a,2),12092(a,1))]. given #11604 (H,wt=19): 12769 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(116,a,8048,a(flip),b,12764,a)]. given #11605 (H,wt=19): 12770 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [hyper(9577,a,12764,a(flip))]. given #11606 (H,wt=10): 12824 L(x,K(y,z),K(y,u)) = x. [hyper(450,a,12770,a)]. given #11607 (H,wt=19): 12772 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2226(a,2),12764(a,1,1))]. given #11608 (H,wt=19): 12775 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [hyper(62,a,6054,a(flip),b,12767,a)]. given #11609 (H,wt=18): 12830 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(12043(a,1),12775(a,1,1)),flip(a)]. given #11610 (H,wt=18): 12831 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6724(a,2),12830(a,1,2,1))]. given #11611 (H,wt=19): 12800 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12793(a,1),5215(a,1,1,1))]. given #11612 (H,wt=11): 12832 T(x,R(a(y,z,y),u,w)) = x. [hyper(215,a,12800,a)]. given #11613 (H,wt=19): 12825 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(9577,a,12770,a(flip))]. given #11614 (H,wt=10): 12833 L(x,K(y,z),K(z,u)) = x. [hyper(450,a,12825,a)]. given #11615 (H,wt=12): 12838 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7501(a,1),12833(a,1,2))]. given #11616 (H,wt=12): 12839 L(x,K(y,z),K(u,K(z,w))) = x. [para(8440(a,1),12833(a,1,3))]. given #11617 (H,wt=18): 12836 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(273,a,4278,a(flip),b,12833,a),flip(a)]. given #11618 (H,wt=18): 12843 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(12836(a,1),11808(a,1,2,3))]. given #11619 (H,wt=19): 12826 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(62,a,6054,a(flip),b,12824,a)]. given #11620 (H,wt=19): 12827 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(5387(a,1),12772(a,2,2))]. given #11621 (H,wt=19): 12828 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(273,a,12772,a,b,12775,a),flip(a)]. given #11622 (H,wt=19): 12829 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [para(2226(a,2),12775(a,1,1))]. given #11623 (H,wt=19): 12837 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(62,a,12184,a(flip),b,12833,a),flip(a)]. given #11624 (H,wt=19): 12846 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(424,a,12837,a)]. given #11625 (H,wt=19): 12848 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(8502(a,1),12837(a,1,1))]. given #11626 (H,wt=19): 12850 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(62,a,12837,a(flip),b,12846,a)]. given #11627 (H,wt=20): 12773 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(9061(a,1),12764(a,1,1)),flip(a)]. given #11628 (H,wt=15): 12855 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(62,a,12831,a(flip),b,12773,a),flip(a)]. given #11629 (H,wt=13): 12856 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(125,a,12855,a),flip(a)]. given #11630 (H,wt=14): 12857 a(x,y,x) \ x != z | L(x,y,x) = z. [para(12855(a,1),5051(a,1))]. given #11631 (H,wt=14): 12858 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(12856(a,2),12747(a,1,3))]. given #11632 (H,wt=15): 12859 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [para(12856(a,2),12855(a,1,1))]. given #11633 (H,wt=15): 12860 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(496,a,12858,a)]. given #11634 (H,wt=15): 12861 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(115,a,9,a(flip),b,12859,a)]. given #11635 (H,wt=15): 12862 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12856(a,1),12860(a,1,2))]. given #11636 (H,wt=15): 12863 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(273,a,12779,a(flip),b,12861,a),flip(a)]. given #11637 (H,wt=15): 12865 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(273,a,12787,a(flip),b,12862,a),flip(a)]. given #11638 (H,wt=15): 12867 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(12856(a,1),12863(a,1,1))]. given #11639 (H,wt=17): 12868 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(62,a,9927,a(flip),b,12865,a),flip(a)]. given #11640 (H,wt=18): 12866 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(12862(a,2),12790(a,1))]. given #11641 (H,wt=20): 12821 K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. [para(10(a,1),12781(a,1,2,1,1))]. given #11642 (H,wt=21): 12768 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [hyper(212,a,12764,a,b,10,a),flip(a)]. given #11643 (H,wt=21): 12804 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(273,a,12134,a(flip),b,12779,a),flip(a)]. given #11644 (H,wt=21): 12820 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(116,a,12807,a(flip),b,144,a(flip))]. given #11645 (H,wt=21): 12834 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(212,a,12825,a,b,10,a),flip(a)]. given #11646 (H,wt=21): 12849 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(273,a,5163,a(flip),b,12846,a)]. given #11647 (H,wt=21): 12852 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(5572,a,12850,a)]. given #11648 (H,wt=21): 12870 (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). [hyper(273,a,12137,a,b,12820,a),flip(a)]. given #11649 (H,wt=21): 12871 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(62,a,10321,a(flip),b,12834,a)]. given #11650 (H,wt=21): 12874 (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). [para(588(a,2),12870(a,1,1))]. given #11651 (H,wt=22): 12776 (K(x,y) * K(y,z)) * u != w | K(x,y) * (K(y,z) * u) = w. [para(12767(a,1),255(a,1,2))]. given #11652 (H,wt=22): 12805 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(273,a,12130,a(flip),b,12779,a),flip(a)]. given #11653 (H,wt=22): 12822 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4584(a,1),12784(a,1,2))]. given #11654 (H,wt=22): 12869 (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). [para(12821(a,1),5535(a,1,2))]. given #11655 (H,wt=22): 12875 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(62,a,10731,a(flip),b,12871,a),flip(a)]. given #11656 (H,wt=22): 12877 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(62,a,12524,a(flip),b,12822,a)]. given #11657 (H,wt=17): 12879 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12784(a,1),12877(a,1,2)),flip(a)]. given #11658 (H,wt=17): 12880 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(287,a,12879,a),flip(a)]. given #11659 (H,wt=23): 12783 K(x * y,x) * (K(x,y) * z) != z * u | T(a(x,y,x),z) = u. [para(12774(a,2),213(a,2)),flip(a)]. given #11660 (H,wt=23): 12816 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(3580(a,1),12802(a,2,2))]. given #11661 (H,wt=23): 12840 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(12833(a,1),9497(a,1,1,1)),flip(a)]. given #11662 (H,wt=23): 12841 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1095,a,12838,a),flip(a)]. given #11663 (H,wt=23): 12842 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1095,a,12839,a),flip(a)]. given #11664 (H,wt=23): 12873 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(5173(a,1),12849(a,2,1)),flip(a)]. given #11665 (H,wt=23): 12881 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2226(a,1),12840(a,1,2,2))]. given #11666 (H,wt=23): 12883 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(62,a,9606,a(flip),b,12873,a)]. given #11667 (H,wt=21): 12885 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(5795,a,12883,a)]. given #11668 (H,wt=24): 12765 K(x,y) * (K(y,z) * u) != u * w | T(K(x,y) * K(y,z),u) = w. [para(12763(a,1),486(a,1,1))]. given #11669 (H,wt=24): 12818 ((R(x,y,x) * z) * u) / ((x * z) * u) = R(a(x,y,x),x * z,u). [para(12806(a,1),20(a,2,1,1)),flip(a)]. given #11670 (H,wt=24): 12835 K(x,y) * (K(z,x) * u) != u * w | T(K(x,y) * K(z,x),u) = w. [para(12825(a,1),213(a,2)),flip(a)]. given #11671 (H,wt=24): 12854 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(12850(a,1),5238(a,1))]. given #11672 (H,wt=25): 12823 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5092(a,1),12769(a,1,1))]. given #11673 (H,wt=25): 12845 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(62,a,7784,a(flip),b,12826,a),flip(a)]. given #11674 (H,wt=23): 12891 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3482(a,1),12845(a,1,2)),flip(a)]. given #11675 (H,wt=23): 12892 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(273,a,4584,a(flip),b,12891,a),flip(a)]. given #11676 (H,wt=21): 12893 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(9097(a,1),12892(a,2,2))]. given #11677 (H,wt=25): 12872 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5387(a,1),12834(a,1,2,2)),flip(a)]. given #11678 (H,wt=25): 12876 ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). [para(12048(a,2),12874(a,1,1,1))]. given #11679 (H,wt=25): 12886 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(62,a,12709,a,b,12885,a),flip(a)]. given #11680 (H,wt=16): 12895 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(273,a,12694,a(flip),b,12886,a),flip(a)]. given #11681 (H,wt=16): 12896 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2226(a,1),12895(a,1,2))]. given #11682 (H,wt=16): 12897 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(9(a,1),12896(a,1,2,2,2,3))]. given #11683 (H,wt=25): 12894 ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). [para(12137(a,2),12876(a,1,1,1,1))]. given #11684 (H,wt=26): 12777 (K(x,y) * K(y,z)) * u != w * v5 | (K(x,y) * (K(y,z) * u)) / v5 = w. [para(12767(a,1),533(a,1,2))]. given #11685 (H,wt=27): 12819 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12806(a,1),482(a,1,1,1))]. given #11686 (H,wt=27): 12851 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(10786(a,1),12848(a,1,1,2)),flip(a)]. given #11687 (H,wt=27): 12878 (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). [hyper(273,a,10639,a,b,12869,a),flip(a)]. given #11688 (H,wt=27): 12898 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9659(a,1),12851(a,2,1))]. given #11689 (H,wt=27): 12900 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(273,a,12837,a(flip),b,12898,a),flip(a)]. given #11690 (H,wt=25): 12901 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(10786(a,1),12900(a,1,2,2))]. given #11691 (H,wt=25): 12902 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(273,a,12850,a,b,12901,a)]. given #11692 (H,wt=28): 12864 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(62,a,12083,a(flip),b,12861,a)]. given #11693 (H,wt=25): 12903 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(12204(a,1),12864(a,1,1,1)),flip(a)]. given #11694 (H,wt=25): 12904 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(273,a,11177,a,b,12903,a),flip(a)]. given #11695 (H,wt=21): 12905 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(12789(a,1),12904(a,2,1))]. given #11696 (H,wt=12): 12906 R(a(x,y,x),x,z) = a(x,y,x). [hyper(12794,a,12905,a),flip(a)]. given #11697 (H,wt=29): 12771 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(116,a,12764,a(flip),b,5174,a)]. given #11698 (H,wt=29): 12884 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(12881(a,1),8275(a,1,1))]. given #11699 (H,wt=25): 12911 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7424(a,1),12884(a,1,1,1)),flip(a)]. given #11700 (H,wt=25): 12912 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12848(a,1),12911(a,2,1))]. given #11701 (H,wt=23): 12913 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(273,a,5102,a,b,12912,a),flip(a)]. given #11702 (H,wt=23): 12914 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5388(a,1),12913(a,1,2))]. given #11703 (H,wt=29): 12887 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(62,a,9678,a,b,12885,a)]. given #11704 (H,wt=29): 12889 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8808(a,1),12885(a,1,1))]. given #11705 (H,wt=25): 12916 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8808(a,1),12889(a,1,2)),flip(a)]. given #11706 (H,wt=23): 12917 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(273,a,12885,a(flip),b,12916,a),flip(a)]. given #11707 (H,wt=23): 12920 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7486(a,1),12917(a,1,1)),flip(a)]. given #11708 (H,wt=24): 12918 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(12916(a,1),7868(a,1))]. given #11709 (H,wt=29): 12910 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9510,a,12771,a)]. given #11710 (H,wt=25): 12921 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(11659,a,12910,a)]. given #11711 (H,wt=21): 12922 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8505(a,1),12921(a,1,1)),flip(a)]. given #11712 (H,wt=21): 12923 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(273,a,12846,a(flip),b,12922,a),flip(a)]. given #11713 (H,wt=19): 12924 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(12854,a,12923,a(flip)),flip(a)]. given #11714 (H,wt=21): 12925 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2226(a,2),12923(a,1,2,1))]. given #11715 (H,wt=19): 12927 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(33,a,5163,a(flip),b,12925,a),flip(a)]. given #11716 (H,wt=19): 12928 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12925(a,1),12852(a,1,1))]. given #11717 (H,wt=19): 12931 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2226(a,1),12927(a,2,2))]. given #11718 (H,wt=19): 12933 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(2226(a,1),12931(a,1,1))]. given #11719 (H,wt=19): 12934 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(62,a,12924,a(flip),b,12933,a)]. given #11720 (H,wt=21): 12926 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(273,a,12885,a,b,12924,a)]. given #11721 (H,wt=21): 12929 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(273,a,12885,a,b,12927,a)]. given #11722 (H,wt=22): 12937 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(12926(a,1),12918(a,1))]. given #11723 (H,wt=22): 12938 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(12929(a,1),12918(a,1))]. given #11724 (H,wt=23): 12930 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(62,a,12914,a,b,12927,a)]. given #11725 (H,wt=23): 12935 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(62,a,12920,a(flip),b,12934,a),flip(a)]. given #11726 (H,wt=22): 12940 K(x,K(y,z) * K(u,y)) != w | K(x,K(z,y) * K(y,u)) = w. [para(12935(a,1),9398(a,1))]. given #11727 (H,wt=22): 12942 K(K(x,y) * K(y,z),u) != w | K(u,K(x,y) * K(y,z)) = w. [para(12924(a,2),12940(a,1))]. given #11728 (H,wt=26): 12939 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(12914(a,2),12938(a,1))]. given #11729 (H,wt=27): 12932 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12927(a,1),5163(a,2,2)),flip(a)]. given #11730 (H,wt=21): 12943 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5341,a,12932,a)]. given #11731 (H,wt=29): 12915 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(8440(a,1),12887(a,1,2,2,2))]. given #11732 (H,wt=21): 12945 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(4591,a,12915,a)]. given #11733 (H,wt=21): 12946 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8440(a,1),12945(a,1,1))]. given #11734 (H,wt=29): 12944 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11656(a,1),12943(a,1,1))]. given #11735 (H,wt=30): 12792 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12780(a,1),12066(a,2,1,1))]. given #11736 (H,wt=26): 12947 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12782(a,1),12792(a,1,1))]. given #11737 (H,wt=21): 12949 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12780(a,1),12947(a,1,2)),flip(a)]. given #11738 (H,wt=19): 12950 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(62,a,12146,a,b,12949,a)]. given #11739 (H,wt=29): 12951 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(5134(a,1),12950(a,1,1,2)),flip(a)]. given #11740 (H,wt=23): 12952 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5134(a,1),12951(a,2,2))]. given #11741 (H,wt=31): 12844 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(62,a,12197,a(flip),b,12843,a),flip(a)]. given #11742 (H,wt=29): 12954 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(62,a,10226,a(flip),b,12844,a),flip(a)]. given #11743 (H,wt=29): 12955 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(10259(a,1),12954(a,2,2))]. given #11744 (H,wt=27): 12956 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(273,a,4430,a(flip),b,12955,a),flip(a)]. given #11745 (H,wt=25): 12957 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(10002(a,1),12956(a,1,1,1))]. given #11746 (H,wt=23): 12958 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10003(a,1),12957(a,1,1)),flip(a)]. given #11747 (H,wt=21): 12959 R(x * K(y,x),z,x) \ u = K(x,y) * (R(x,z,x) \ u). [hyper(5543,a,12958,a),flip(a)]. given #11748 (H,wt=24): 12960 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12958(a,1),5543(a,1))]. given #11749 (H,wt=32): 12936 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6188(a,1),12926(a,1,2,2)),flip(a)]. given #11750 (H,wt=32): 12961 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(9374(a,1),12936(a,2,2))]. given #11751 (H,wt=30): 12962 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(273,a,12926,a(flip),b,12961,a),flip(a)]. given #11752 (H,wt=25): 12963 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6188(a,1),12962(a,1,1,2))]. given #11753 (H,wt=33): 12941 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12935(a,1),11771(a,2,2))]. given #11754 (H,wt=33): 12964 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(273,a,12764,a(flip),b,12941,a),flip(a)]. given #11755 (H,wt=35): 12766 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(12763(a,1),2495(a,1,1)),flip(a)]. given #11756 (H,wt=30): 12966 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(12763(a,1),12766(a,2,2,1,1))]. given #11757 (H,wt=28): 12967 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5368(a,1),12966(a,2,2,1))]. given #11758 (H,wt=26): 12969 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5368(a,1),12967(a,1,1,2,1))]. given #11759 (H,wt=26): 12970 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(62,a,11187,a(flip),b,12969,a)]. given #11760 (H,wt=30): 12972 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(12969(a,2),7052(a,1,1))]. given #11761 (H,wt=36): 12909 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(62,a,473,a,b,12906,a)]. given #11762 (H,wt=31): 12976 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(12038(a,1),12909(a,1,1,1))]. given #11763 (H,wt=28): 12977 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(476(a,1),12976(a,1,1))]. given #11764 (H,wt=37): 12899 ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [hyper(115,a,12878,a(flip),b,94,a)]. given #11765 (H,wt=35): 12978 (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12105(a,1),12899(a,1,1))]. given #11766 (H,wt=32): 12979 (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). [para(6086(a,1),12978(a,1,1))]. given #11767 (H,wt=20): 12980 L(x,a(y,y \ z,y),y \ z) = L(x,K(z,y),y \ z). [hyper(328,a,12979,a)]. given #11768 (H,wt=23): 12981 L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. [para(12979(a,1),288(a,1))]. given #11769 (H,wt=37): 12973 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12969(a,1),12719(a,1,1))]. given #11770 (H,wt=35): 12983 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6570,a,12973,a)]. given #11771 (H,wt=35): 12985 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5388(a,1),12983(a,1,2))]. given #11772 (H,wt=35): 12986 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(62,a,12963,a(flip),b,12985,a)]. given #11773 (H,wt=31): 12987 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(12939,a,12986,a),flip(a)]. given #11774 (H,wt=40): 12975 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8412(a,1),12972(a,1,1,1,2,1))]. given #11775 (H,wt=40): 12988 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(9372(a,1),12975(a,1,1,1,2))]. given #11776 (H,wt=38): 12989 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(12946(a,1),12988(a,1,1,1))]. given #11777 (H,wt=46): 5651 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(5106(a,1),2495(a,2,1,2,1))]. given #11778 (H,wt=44): 12990 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5469(a,1),5651(a,1,1))]. given #11779 (H,wt=42): 12991 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5469(a,1),12990(a,1,2,1,1)),flip(a)]. given #11780 (H,wt=40): 12992 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5368(a,1),12991(a,2,2,1))]. given #11781 (H,wt=40): 12993 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6172(a,1),12992(a,2,2))]. given #11782 (H,wt=38): 12994 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5112(a,1),12993(a,1,1,1)),flip(a)]. given #11783 (H,wt=38): 12995 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6172(a,1),12994(a,2,1,2))]. given #11784 (H,wt=46): 9766 ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(9765(a,2),5577(a,1,2))]. given #11785 (H,wt=46): 12996 ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(6985(a,1),9766(a,1,1,2))]. given #11786 (H,wt=40): 12997 (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(8121(a,1),12996(a,1,1))]. given #11787 (H,wt=36): 12998 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). [para(9765(a,1),12997(a,1,2)),flip(a)]. given #11788 (H,wt=34): 12999 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K((y * x) \ 1,y * x) * (1 / (x * y)). [hyper(273,a,2789,a(flip),b,12998,a),flip(a)]. given #11789 (H,wt=34): 13000 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K(x \ (y \ 1),y * x) * (1 / (x * y)). [para(8082(a,1),12999(a,2,1))]. given #11790 (H,wt=32): 13001 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K(x \ (y \ 1),y * x) / (x * y). [hyper(273,a,6941,a(flip),b,13000,a),flip(a)]. given #11791 (H,wt=19): 13002 K(x \ (y \ 1),y * x) / (x * y) = (x * y) \ 1. [hyper(62,a,11389,a(flip),b,13001,a),flip(a)]. given #11792 (H,wt=19): 13005 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(36,a,308,a,b,13002,a)]. given #11793 (H,wt=47): 2970 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1710(a,2),2965(a,1,2))]. given #11794 (H,wt=29): 13006 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(12(a,1),2970(a,1,2,1))]. given #11795 (H,wt=27): 13007 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(71(a,1),13006(a,1,2))]. given #11796 (H,wt=23): 13009 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(290,a,13007,a),flip(a)]. given #11797 (H,wt=21): 13012 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2471(a,1),13009(a,1,1))]. given #11798 (H,wt=21): 13013 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(62,a,6824,a(flip),b,13012,a),flip(a)]. given #11799 (H,wt=21): 13014 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(273,a,5039,a(flip),b,13013,a),flip(a)]. given #11800 (H,wt=21): 13015 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(273,a,7222,a(flip),b,13014,a),flip(a)]. given #11801 (H,wt=15): 13017 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1015(a,1),13015(a,1,2))]. given #11802 (H,wt=15): 13018 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(129,a,13017,a)]. given #11803 (H,wt=24): 13019 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(13017(a,1),5155(a,2,1)),flip(a)]. given #11804 (H,wt=25): 13016 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(13014(a,2),6825(a,1,1))]. given #11805 (H,wt=28): 13021 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(273,a,8458,a,b,13019,a),flip(a)]. given #11806 (H,wt=31): 13022 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(13019(a,2),9423(a,1))]. given #11807 (H,wt=47): 6045 (((x * (y * x)) / x) / y) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). [para(4315(a,1),5962(a,1,1,2))]. given #11808 (H,wt=42): 13023 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z). [para(4355(a,1),6045(a,1,1)),flip(a)]. given #11809 (H,wt=30): 13024 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * (y * z). [para(4315(a,1),13023(a,2,2,1))]. given #11810 (H,wt=20): 13025 T(x,x * y) * (T(y,x) * z) = L(x,y,x) * (y * z). [para(6047(a,1),13024(a,1,2,1))]. given #11811 (H,wt=24): 13026 L(x,y / x,x) * ((y / x) * z) = T(x,y) * (T(y / x,x) * z). [para(4299(a,1),13025(a,1,1)),flip(a)]. given #11812 (H,wt=22): 13027 L(x,y / x,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(110(a,1),13026(a,2,2,1))]. given #11813 (H,wt=22): 13028 L(x,x \ y,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(4457(a,1),13027(a,1,1))]. given #11814 (H,wt=47): 9638 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(9637(a,1),4248(a,1,1)),flip(a)]. given #11815 (H,wt=47): 11314 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(7414(a,1),8970(a,2,2))]. given #11816 (H,wt=47): 13029 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(7460(a,2),9638(a,2,2))]. given #11817 (H,wt=41): 13030 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(7704(a,1),13029(a,2,2))]. given #11818 (H,wt=41): 13031 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [hyper(273,a,8265,a(flip),b,13030,a),flip(a)]. given #11819 (H,wt=41): 13032 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(T(z,x),y). [hyper(273,a,8224,a(flip),b,13030,a),flip(a)]. given #11820 (H,wt=41): 13034 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(273,a,9725,a(flip),b,13031,a),flip(a)]. given #11821 (H,wt=39): 13035 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(7476(a,1),13034(a,2,2))]. given #11822 (H,wt=23): 13036 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(8528(a,1),13035(a,1,2))]. given #11823 (H,wt=23): 13037 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(8239,a,13036,a)]. given #11824 (H,wt=23): 13039 K(x,y * z) * (K(y,x) * z) = z * (K(x,y * z) * K(y,x)). [hyper(9575,a,13037,a),flip(a)]. given #11825 (H,wt=26): 13040 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(13037(a,1),9575(a,1))]. given #11826 (H,wt=48): 9560 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9141(a,1),5533(a,1,1,2))]. given #11827 (H,wt=48): 12072 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6774(a,1),12058(a,2,1))]. given #11828 (H,wt=48): 12882 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(12842(a,2),834(a,1,2))]. given #11829 (H,wt=48): 12890 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(189(a,2),12823(a,1,2,2,2))]. given #11830 (H,wt=44): 13043 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6567(a,1),12890(a,1,2,1))]. given #11831 (H,wt=37): 13044 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3990(a,1),13043(a,1,2,2)),flip(a)]. given #11832 (H,wt=33): 13045 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8846(a,1),13044(a,2,2))]. given #11833 (H,wt=43): 13046 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(9(a,1),13045(a,2,2,1))]. given #11834 (H,wt=42): 13047 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(12287(a,1),13046(a,1,1,2))]. given #11835 (H,wt=35): 13048 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7715(a,1),13047(a,1,1))]. given #11836 (H,wt=34): 13050 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(12287(a,1),13048(a,1,2,1))]. given #11837 (H,wt=33): 13051 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5722(a,1),13050(a,1,2))]. given #11838 (H,wt=31): 13052 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8855(a,1),13051(a,1,2))]. given #11839 (H,wt=19): 13053 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6849(a,1),13052(a,1,2)),flip(a)]. given #11840 (H,wt=19): 13054 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(273,a,7738,a,b,13053,a),flip(a)]. given #11841 (H,wt=48): 13041 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(11881(a,1),9560(a,1,1))]. given #11842 (H,wt=45): 13056 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9220(a,1),13041(a,1,1,2))]. given #11843 (H,wt=45): 13057 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8440(a,1),13056(a,1,1))]. given #11844 (H,wt=43): 13059 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7851(a,1),13057(a,1,1,2))]. given #11845 (H,wt=39): 13060 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(9(a,1),13059(a,1,1,2,1,2))]. given #11846 (H,wt=39): 13061 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8443(a,1),13060(a,1,1))]. given #11847 (H,wt=37): 13062 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8499(a,1),13061(a,1,1))]. given #11848 (H,wt=35): 13063 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(8486(a,1),13062(a,1,1))]. given #11849 (H,wt=35): 13064 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8440(a,1),13063(a,1,1))]. given #11850 (H,wt=32): 13065 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10783(a,1),13064(a,1,2))]. given #11851 (H,wt=32): 13066 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(9133,a,13065,a)]. given #11852 (H,wt=32): 13067 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7501(a,1),13066(a,1,2,1))]. given #11853 (H,wt=18): 13068 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(33,a,11596,a(flip),b,13067,a),flip(a)]. given #11854 (H,wt=48): 13042 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(8440(a,1),12882(a,1,1,3,1))]. given #11855 (H,wt=44): 13070 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(8005(a,1),13042(a,1,1,3))]. given #11856 (H,wt=44): 13071 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7487(a,2),13070(a,1,1,3))]. given #11857 (H,wt=44): 13073 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(8440(a,1),13071(a,1,2,1,1))]. given #11858 (H,wt=44): 13074 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(12772(a,1),13073(a,1,2))]. given #11859 (H,wt=44): 13075 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(8440(a,1),13074(a,2,2,1))]. given #11860 (H,wt=40): 13076 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(8005(a,1),13075(a,2,2))]. given #11861 (H,wt=40): 13077 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7487(a,2),13076(a,2,2))]. given #11862 (H,wt=27): 13079 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(9478(a,1),13077(a,1,1))]. given #11863 (H,wt=25): 13080 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(62,a,12768,a(flip),b,13079,a),flip(a)]. given #11864 (H,wt=25): 13081 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(62,a,2231,a(flip),b,13080,a)]. given #11865 (H,wt=25): 13082 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(7460(a,2),13081(a,1,2))]. given #11866 (H,wt=49): 4691 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4690(a,2),1217(a,2,2,1,2))]. given #11867 (H,wt=47): 13083 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(6720(a,1),4691(a,1,1,1))]. given #11868 (H,wt=39): 13084 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(5827(a,1),13083(a,1,1)),flip(a)]. given #11869 (H,wt=33): 13085 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(5127(a,1),13084(a,2,1))]. given #11870 (H,wt=31): 13086 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(273,a,6353,a(flip),b,13085,a),flip(a)]. given #11871 (H,wt=27): 13087 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(7769(a,1),13086(a,1,2,1))]. given #11872 (H,wt=23): 13088 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(3138(a,1),13087(a,1,2))]. given #11873 (H,wt=19): 13089 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(9655(a,1),13088(a,1,2)),flip(a)]. given #11874 (H,wt=31): 13091 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(13089(a,1),11410(a,1,1,1)),flip(a)]. given #11875 (H,wt=31): 13092 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3876(a,1),13091(a,1,1)),flip(a)]. given #11876 (H,wt=27): 13093 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(273,a,9086,a(flip),b,13092,a),flip(a)]. given #11877 (H,wt=23): 13094 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(273,a,11518,a(flip),b,13093,a),flip(a)]. given #11878 (H,wt=17): 13095 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(62,a,6158,a(flip),b,13094,a)]. given #11879 (H,wt=15): 13096 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(62,a,10691,a(flip),b,13095,a)]. given #11880 (H,wt=23): 13098 K(T((x \ y) \ y,z) \ u,u) = K(T(x,z) \ u,T(u,x \ y)). [para(271(a,1),13096(a,1,1,1))]. given #11881 (H,wt=23): 13099 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z * x)). [para(4397(a,1),13096(a,1,1,1))]. given #11882 (H,wt=21): 13103 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z)). [hyper(273,a,12225,a(flip),b,13099,a),flip(a)]. given #11883 (H,wt=21): 13104 K(T(x,y) \ z,T(z,x * u)) = K(T(x,y) \ z,T(z,u)). [hyper(62,a,13096,a(flip),b,13103,a)]. given #11884 (H,wt=21): 13105 K(T(x,y) \ z,T(z,x \ u)) = K(T(x,y) \ z,T(z,u)). [para(10(a,1),13104(a,1,2,2)),flip(a)]. given #11885 (H,wt=23): 13102 K(T(x,y) \ z,T(z,x \ u)) = K(((x \ u) \ u) \ z,T(z,y)). [hyper(62,a,13096,a(flip),b,13098,a),flip(a)]. given #11886 (H,wt=23): 13106 K(T(x,y) \ z,T(z,x \ u)) = K(u \ ((x \ u) * z),T(z,y)). [hyper(273,a,11410,a(flip),b,13102,a),flip(a)]. given #11887 (H,wt=21): 13107 K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,x)). [hyper(62,a,13105,a(flip),b,13106,a),flip(a)]. given #11888 (H,wt=24): 13097 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(62,a,12247,a(flip),b,13096,a),flip(a)]. given #11889 (H,wt=28): 13100 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(13096(a,1),5833(a,1,2,1,2))]. given #11890 (H,wt=21): 13108 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(62,a,9784,a(flip),b,13100,a),flip(a)]. given #11891 (H,wt=24): 13109 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(62,a,13097,a,b,13108,a)]. given #11892 (H,wt=24): 13110 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(27(a,2),13109(a,1,2))]. given #11893 (H,wt=26): 13111 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(62,a,7062,a(flip),b,13110,a)]. given #11894 (H,wt=24): 13112 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(273,a,7283,a(flip),b,13111,a),flip(a)]. given #11895 (H,wt=24): 13113 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(62,a,9003,a(flip),b,13112,a)]. given #11896 (H,wt=20): 13114 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(2140(a,1),13113(a,2,2,1))]. given #11897 (H,wt=29): 13115 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(13114(a,1),11797(a,1,1,2))]. given #11898 (H,wt=26): 13116 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5822(a,1),13115(a,1,1))]. given #11899 (H,wt=26): 13117 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5626(a,1),13116(a,1,1,1,2))]. given #11900 (H,wt=26): 13118 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(62,a,27,a,b,13117,a)]. given #11901 (H,wt=21): 13119 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5568(a,1),13118(a,1,1)),flip(a)]. given #11902 (H,wt=18): 13120 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(62,a,11795,a(flip),b,13119,a)]. given #11903 (H,wt=23): 13122 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(13120(a,1),476(a,1,1)),flip(a)]. given #11904 (H,wt=20): 13123 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(273,a,104,a(flip),b,13122,a),flip(a)]. given #11905 (H,wt=25): 13125 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(13123(a,1),12977(a,1,1))]. given #11906 (H,wt=20): 13126 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [hyper(12819,a,13125,a)]. given #11907 (H,wt=23): 13127 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(13125(a,1),12819(a,1))]. given #11908 (H,wt=26): 13124 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10649(a,1),13123(a,1,1,1)),flip(a)]. given #11909 (H,wt=30): 13121 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(13119(a,1),12022(a,1,2))]. given #11910 (H,wt=25): 13128 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(62,a,12409,a(flip),b,13121,a),flip(a)]. given #11911 (H,wt=22): 13129 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(320(a,1),13128(a,1,2,3))]. given #11912 (H,wt=18): 13130 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12799,a,13129,a)]. given #11913 (H,wt=17): 13131 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(13127,a,13130,a)]. given #11914 (H,wt=17): 13133 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(10(a,1),13131(a,1,2)),flip(a)]. given #11915 (H,wt=19): 13134 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(13133(a,1),10604(a,1,2)),flip(a)]. given #11916 (H,wt=22): 13132 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(62,a,12406,a(flip),b,13130,a),flip(a)]. given #11917 (H,wt=22): 13137 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(13132(a,1),12394(a,1,1))]. given #11918 (H,wt=22): 13138 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(62,a,11952,a(flip),b,13137,a)]. given #11919 (H,wt=23): 13135 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(13133(a,1),10614(a,1,2)),flip(a)]. given #11920 (H,wt=29): 13136 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(62,a,10649,a(flip),b,13134,a),flip(a)]. given #11921 (H,wt=25): 13139 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12131(a,1),13136(a,1,2,1)),flip(a)]. given #11922 (H,wt=25): 13140 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(273,a,13135,a,b,13139,a),flip(a)]. given #11923 (H,wt=31): 13101 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(x \ z,T(z,y)),u) / T(z,u). [para(13096(a,1),11318(a,2,1,1,2))]. given #11924 (H,wt=25): 13143 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(x \ z,T(T(z,u),y)). [hyper(273,a,9617,a(flip),b,13101,a),flip(a)]. given #11925 (H,wt=19): 13144 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(62,a,11317,a(flip),b,13143,a)]. given #11926 (H,wt=21): 13145 K(x \ ((y \ x) * z),T(z,u)) = K(y \ z,T(T(z,x),u)). [hyper(62,a,13107,a,b,13144,a)]. given #11927 (H,wt=21): 13146 K((x / y) \ z,T(T(z,x),u)) = K(x \ (y * z),T(z,u)). [para(77(a,1),13145(a,1,1,2,1)),flip(a)]. given #11928 (H,wt=21): 13147 K((x / y) \ z,T(T(z,y),u)) = K(x \ (y * z),T(z,u)). [hyper(62,a,11769,a,b,13146,a)]. given #11929 (H,wt=36): 13142 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(13140(a,1),13124(a,2,1,1))]. given #11930 (H,wt=49): 6340 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4288(a,1),6154(a,1,2))]. given #11931 (H,wt=37): 13148 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(10271(a,1),6340(a,1,1)),flip(a)]. given #11932 (H,wt=37): 13149 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(273,a,7737,a,b,13148,a),flip(a)]. given #11933 (H,wt=35): 13151 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5178(a,1),13149(a,2,1))]. given #11934 (H,wt=49): 6341 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4288(a,1),6155(a,1,2))]. given #11935 (H,wt=37): 13152 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(10271(a,1),6341(a,1,1)),flip(a)]. given #11936 (H,wt=37): 13153 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(273,a,7737,a,b,13152,a),flip(a)]. given #11937 (H,wt=35): 13155 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5178(a,1),13153(a,2,1))]. given #11938 (H,wt=33): 13156 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(273,a,10333,a(flip),b,13155,a),flip(a)]. given #11939 (H,wt=33): 13157 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4309(a,2),13156(a,1,2))]. given #11940 (H,wt=27): 13158 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(10267(a,1),13157(a,1,2,1))]. given #11941 (H,wt=27): 13159 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4300(a,2),13158(a,1,2,1))]. given #11942 (H,wt=49): 12012 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(12010(a,1),6493(a,1,2,1))]. given #11943 (H,wt=47): 13161 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(9770(a,1),12012(a,1,1,1))]. given #11944 (H,wt=45): 13162 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(12893(a,1),13161(a,1,2)),flip(a)]. given #11945 (H,wt=45): 13163 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(273,a,13005,a(flip),b,13162,a),flip(a)]. given #11946 (H,wt=49): 12888 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12885(a,2),5287(a,2,2)),flip(a)]. given #11947 (H,wt=49): 13164 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12829(a,1),12888(a,2,1,1))]. given #11948 (H,wt=50): 7800 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(7414(a,1),1730(a,2,2))]. given #11949 (H,wt=48): 13165 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6180(a,1),7800(a,1,1,1))]. given #11950 (H,wt=34): 13166 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6230(a,1),13165(a,1,1)),flip(a)]. given #11951 (H,wt=34): 13167 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(273,a,9659,a(flip),b,13166,a),flip(a)]. given #11952 (H,wt=32): 13169 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6180(a,1),13167(a,1,1))]. given #11953 (H,wt=40): 13170 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(62,a,11314,a,b,13169,a)]. given #11954 (H,wt=38): 13171 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6180(a,1),13170(a,1,2,1))]. given #11955 (H,wt=38): 13172 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9377(a,1),13171(a,1,2))]. given #11956 (H,wt=34): 13173 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(8018(a,1),13172(a,1,2,2))]. given #11957 (H,wt=27): 13175 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(8021(a,1),13173(a,1,2,2))]. given #11958 (H,wt=25): 13176 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(8451,a,13175,a),flip(a)]. given #11959 (H,wt=17): 13178 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(12556,a,13176,a)]. given #11960 (H,wt=17): 13179 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7603,a,13176,a)]. given #11961 (H,wt=18): 13182 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(13178(a,2),10554(a,1,2))]. given #11962 (H,wt=19): 13180 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(8801,a,13178,a),flip(a)]. given #11963 (H,wt=20): 13181 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(13178(a,1),8515(a,1))]. given #11964 (H,wt=24): 13184 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(601(a,1),13179(a,1,2,2)),flip(a)]. given #11965 (H,wt=19): 13186 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(62,a,12696,a(flip),b,13184,a),flip(a)]. given #11966 (H,wt=19): 13188 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(8542(a,1),13186(a,1,2)),flip(a)]. given #11967 (H,wt=17): 13189 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8569(a,1),13188(a,1,2)),flip(a)]. given #11968 (H,wt=17): 13191 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(5705(a,1),13189(a,1,2)),flip(a)]. given #11969 (H,wt=17): 13192 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(9002,a,13191,a),flip(a)]. given #11970 (H,wt=21): 13190 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(10016,a,13189,a),flip(a)]. given #11971 (H,wt=19): 13194 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(10027,a,13190,a),flip(a)]. given #11972 (H,wt=17): 13195 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8920,a,13194,a)]. given #11973 (H,wt=19): 13196 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(273,a,5163,a(flip),b,13195,a),flip(a)]. given #11974 (H,wt=17): 13198 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5238,a,13196,a)]. given #11975 (H,wt=25): 13183 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(273,a,12846,a(flip),b,13179,a),flip(a)]. given #11976 (H,wt=25): 13199 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(62,a,12848,a(flip),b,13183,a)]. given #11977 (H,wt=25): 13200 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(2226(a,1),13199(a,1,2)),flip(a)]. given #11978 (H,wt=25): 13201 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(62,a,12850,a,b,13200,a)]. given #11979 (H,wt=27): 13202 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(273,a,5163,a(flip),b,13201,a)]. given #11980 (H,wt=25): 13203 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(33,a,5163,a(flip),b,13202,a)]. given #11981 (H,wt=31): 13204 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(62,a,12987,a,b,13203,a)]. given #11982 (H,wt=18): 13205 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(273,a,12897,a(flip),b,13204,a),flip(a)]. given #11983 (H,wt=16): 13206 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [hyper(6570,a,13205,a)]. given #11984 (H,wt=16): 13208 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(5388(a,1),13206(a,1,2))]. given #11985 (H,wt=24): 13209 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(13208(a,1),5298(a,1,1))]. given #11986 (H,wt=19): 13210 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(12970(a,1),13209(a,1,2))]. given #11987 (H,wt=17): 13211 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(117,a,13210,a)]. given #11988 (H,wt=17): 13213 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5423,a,13211,a)]. given #11989 (H,wt=19): 13217 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9553(a,1),13211(a,1,2))]. given #11990 (H,wt=21): 13215 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(13211(a,1),7052(a,1,1)),flip(a)]. given #11991 (H,wt=21): 13218 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(13211(a,1),9393(a,2,2))]. given #11992 (H,wt=21): 13219 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(13211(a,1),12643(a,1,1,2))]. given #11993 (H,wt=17): 13227 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(13211(a,1),13219(a,1,2))]. given #11994 (H,wt=21): 13220 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(13211(a,1),12902(a,2,2))]. given #11995 (H,wt=21): 13221 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(13211(a,1),12963(a,1,1)),flip(a)]. given #11996 (H,wt=21): 13223 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(13217(a,1),5500(a,1,2)),flip(a)]. given #11997 (H,wt=21): 13224 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5423,a,13215,a)]. given #11998 (H,wt=21): 13230 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(12937,a,13221,a)]. given #11999 (H,wt=21): 13233 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(7497,a,13223,a)]. given #12000 (H,wt=23): 13214 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6172(a,1),13211(a,1,2))]. given #12001 (H,wt=23): 13226 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(62,a,9009,a,b,13218,a)]. given #12002 (H,wt=24): 13232 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(13221(a,1),12937(a,1))]. given #12003 (H,wt=24): 13236 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(13233(a,2),42(a,1))]. given #12004 (H,wt=25): 13212 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8457(a,1),13210(a,1,2,1))]. given #12005 (H,wt=25): 13229 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(115,a,109,a(flip),b,13227,a)]. given #12006 (H,wt=25): 13238 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9373(a,1),13212(a,1,2,2))]. given #12007 (H,wt=23): 13239 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12946(a,1),13238(a,1,2))]. given #12008 (H,wt=26): 13234 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(62,a,12112,a(flip),b,13224,a)]. given #12009 (H,wt=26): 13240 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9568(a,1),13234(a,1,2))]. given #12010 (H,wt=24): 13241 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5641,a,13240,a)]. given #12011 (H,wt=24): 13243 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(273,a,10329,a,b,13241,a),flip(a)]. given #12012 (H,wt=27): 13242 R(K(x,y),z,u) * L(x,y,x) != w | T(x,x * y) * a(K(x,y),z,u) = w. [para(13240(a,1),5641(a,1))]. given #12013 (H,wt=29): 13225 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(62,a,12342,a,b,13218,a)]. given #12014 (H,wt=25): 13244 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(9(a,1),13225(a,1,2,1,2,1))]. given #12015 (H,wt=25): 13246 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6737(a,1),13244(a,1,2))]. given #12016 (H,wt=29): 13237 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(62,a,12995,a(flip),b,13214,a)]. given #12017 (H,wt=29): 13247 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6600(a,2),13246(a,1,1))]. given #12018 (H,wt=25): 13248 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6623(a,1),13247(a,1,2))]. given #12019 (H,wt=33): 13185 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(13180(a,1),11685(a,1,2))]. given #12020 (H,wt=30): 13249 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(10994(a,1),13185(a,1,2,2))]. given #12021 (H,wt=23): 13250 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(10969(a,1),13249(a,2,2))]. given #12022 (H,wt=21): 13252 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(10010(a,1),13250(a,1,2))]. given #12023 (H,wt=33): 13222 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(13213(a,1),11529(a,1,1)),flip(a)]. given #12024 (H,wt=27): 13253 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(273,a,13226,a(flip),b,13222,a),flip(a)]. given #12025 (H,wt=34): 13235 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(13230(a,1),12989(a,1,1,1))]. given #12026 (H,wt=27): 13254 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(345(a,1),13235(a,1,1)),flip(a)]. given #12027 (H,wt=27): 13255 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(273,a,9571,a(flip),b,13254,a),flip(a)]. given #12028 (H,wt=27): 13256 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8412(a,1),13255(a,1,2,1,1))]. given #12029 (H,wt=27): 13257 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9372(a,1),13256(a,1,2,1))]. given #12030 (H,wt=25): 13258 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5173(a,2),13257(a,1,2))]. given #12031 (H,wt=25): 13259 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(62,a,13176,a,b,13258,a)]. given #12032 (H,wt=23): 13260 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8446(a,1),13259(a,1,1))]. given #12033 (H,wt=23): 13261 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(62,a,12837,a(flip),b,13260,a)]. given #12034 (H,wt=19): 13262 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(62,a,13220,a(flip),b,13261,a),flip(a)]. given #12035 (H,wt=17): 13263 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(33,a,5163,a(flip),b,13262,a),flip(a)]. given #12036 (H,wt=21): 13264 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(13232,a,13263,a)]. given #12037 (H,wt=19): 13265 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(13264(a,1),13239(a,1,2))]. given #12038 (H,wt=17): 13266 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(117,a,13265,a),flip(a)]. given #12039 (H,wt=17): 13267 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(273,a,13263,a,b,13266,a),flip(a)]. given #12040 (H,wt=17): 13268 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8440(a,1),13266(a,1,1))]. given #12041 (H,wt=17): 13269 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8440(a,1),13267(a,1,1))]. given #12042 (H,wt=43): 13193 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(13192(a,1),5289(a,1,1))]. given #12043 (H,wt=43): 13270 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8412(a,1),13193(a,1,2,1,2))]. given #12044 (H,wt=41): 13271 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8750(a,1),13270(a,1,2,1,2))]. given #12045 (H,wt=41): 13272 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8452(a,1),13271(a,1,2,1,2))]. given #12046 (H,wt=39): 13273 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8521(a,1),13272(a,1,2,1,2))]. given #12047 (H,wt=39): 13274 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5346(a,2),13273(a,1,2,1))]. given #12048 (H,wt=39): 13275 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(62,a,5544,a,b,13274,a)]. given #12049 (H,wt=37): 13276 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(8766(a,1),13275(a,1,1)),flip(a)]. given #12050 (H,wt=35): 13277 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6358(a,1),13276(a,2,2))]. given #12051 (H,wt=33): 13278 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(273,a,8483,a(flip),b,13277,a),flip(a)]. given #12052 (H,wt=50): 12117 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(12113(a,1),1994(a,1,1)),flip(a)]. given #12053 (H,wt=49): 13279 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(12113(a,1),12117(a,2,2,1,1))]. given #12054 (H,wt=47): 13280 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(273,a,1328,a(flip),b,13279,a),flip(a)]. given #12055 (H,wt=45): 13281 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(1705(a,1),13280(a,2,2))]. given #12056 (H,wt=43): 13282 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(802(a,1),13281(a,2,2,1))]. given #12057 (H,wt=37): 13283 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(1070(a,1),13282(a,2,2,1,2))]. given #12058 (H,wt=35): 13284 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(1328(a,1),13283(a,1,1))]. given #12059 (H,wt=51): 7808 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5095(a,1),7643(a,1,2)),flip(a)]. given #12060 (H,wt=41): 13285 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(273,a,9649,a(flip),b,7808,a),flip(a)]. given #12061 (H,wt=41): 13286 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(273,a,8443,a(flip),b,13285,a),flip(a)]. given #12062 (H,wt=51): 11286 K(x * y,1 / x) * T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) = (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)). [para(410(a,1),11284(a,1,1,2))]. given #12063 (H,wt=41): 13287 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = K(x * y,1 / x) * ((1 / x) * (y * x)). [para(4544(a,1),11286(a,1,2)),flip(a)]. given #12064 (H,wt=41): 13288 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * (K(x * y,1 / x) * (y * x)). [hyper(273,a,4584,a(flip),b,13287,a),flip(a)]. given #12065 (H,wt=51): 12071 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(12058(a,1),1116(a,1,2,1))]. given #12066 (H,wt=52): 7795 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2621(a,1),7787(a,2,1,1))]. given #12067 (H,wt=52): 12971 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(12969(a,1),469(a,1,1,1)),flip(a)]. given #12068 (H,wt=22): 13291 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(273,a,9,a(flip),b,12971,a),flip(a)]. given #12069 (H,wt=17): 13293 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12969(a,1),13291(a,1,3))]. given #12070 (H,wt=13): 13295 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(13211(a,1),13293(a,1,3))]. given #12071 (H,wt=25): 13296 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [hyper(1095,a,13295,a),flip(a)]. given #12072 (H,wt=27): 13298 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(62,a,13253,a(flip),b,13296,a),flip(a)]. given #12073 (H,wt=19): 13299 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5387(a,1),13298(a,1,2))]. given #12074 (H,wt=19): 13300 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8541(a,1),13299(a,1,1,1)),flip(a)]. given #12075 (H,wt=17): 13301 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(213,a,13300,a),flip(a)]. given #12076 (H,wt=28): 13297 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(13295(a,1),255(a,1,2))]. given #12077 (H,wt=52): 13290 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3397(a,1),7795(a,1,1,1,2))]. given #12078 (H,wt=44): 13303 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4776(a,1),13290(a,1,1,1))]. given #12079 (H,wt=42): 13304 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(107(a,1),13303(a,1,1,1)),flip(a)]. given #12080 (H,wt=42): 13308 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3397(a,1),13304(a,2,1,3,2))]. given #12081 (H,wt=38): 13309 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(9(a,1),13308(a,2,1,3))]. given #12082 (H,wt=34): 13313 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4789(a,1),13309(a,2,1))]. given #12083 (H,wt=30): 13314 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(74(a,1),13313(a,1,1,1,1,2))]. given #12084 (H,wt=30): 13316 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3397(a,1),13314(a,1,1,2))]. given #12085 (H,wt=22): 13317 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(62,a,6043,a(flip),b,13316,a)]. given #12086 (H,wt=32): 13319 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(22(a,2),13317(a,1,1,1,1)),flip(a)]. given #12087 (H,wt=30): 13320 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10452(a,1),13319(a,2,1,1))]. given #12088 (H,wt=27): 13321 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(273,a,7500,a(flip),b,13320,a),flip(a)]. given #12089 (H,wt=25): 13322 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(22(a,2),13321(a,1,1,3))]. given #12090 (H,wt=25): 13323 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7501(a,1),13322(a,2,1))]. given #12091 (H,wt=21): 13324 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(62,a,6843,a(flip),b,13323,a)]. given #12092 (H,wt=28): 13325 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13324(a,1),8393(a,2,2))]. given #12093 (H,wt=25): 13327 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(273,a,94,a(flip),b,13325,a),flip(a)]. given #12094 (H,wt=23): 13328 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7476(a,1),13327(a,2,2))]. given #12095 (H,wt=21): 13329 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(62,a,8306,a(flip),b,13328,a)]. given #12096 (H,wt=15): 13330 K(x * y,z) * x = x * K(y * x,z). [hyper(33,a,12635,a(flip),b,13329,a(flip)),flip(a)]. given #12097 (H,wt=13): 13332 K(x * y,T(z,x)) = K(y * x,z). [hyper(7566,a,13330,a)]. given #12098 (H,wt=13): 13333 K(x * y,T(z,y)) = K(y * x,z). [hyper(34,a,8548,a,b,13330,a)]. given #12099 (H,wt=13): 13337 K((x \ y) * x,z) = K(y,T(z,x)). [para(10(a,1),13332(a,1,1)),flip(a)]. given #12100 (H,wt=11): 13348 K((x \ y) * x,T(y,z)) = 1. [hyper(273,a,241,a(flip),b,13337,a),flip(a)]. given #12101 (H,wt=13): 13344 K(x * (y / x),z) = K(y,T(z,x)). [para(12(a,1),13333(a,1,1)),flip(a)]. given #12102 (H,wt=15): 13340 K(x * y,z) * y = y * K(y * x,z). [para(13332(a,1),8548(a,1,1))]. given #12103 (H,wt=15): 13349 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4073(a,2),13344(a,1,1))]. given #12104 (H,wt=11): 13352 K(T(x \ y,x) * x,y) = 1. [hyper(273,a,13348,a(flip),b,13349,a),flip(a)]. given #12105 (H,wt=13): 13353 x * K(T(y \ z,y) * y,z) = x. [para(13352(a,2),8(a,1,2))]. given #12106 (H,wt=17): 13334 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(34,a,8899,a(flip),b,13330,a),flip(a)]. given #12107 (H,wt=17): 13338 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(13332(a,1),5173(a,2,1)),flip(a)]. given #12108 (H,wt=17): 13346 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [para(13333(a,1),5163(a,2,2)),flip(a)]. given #12109 (H,wt=17): 13356 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(6619,a,13346,a)]. given #12110 (H,wt=19): 13341 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(13332(a,1),9011(a,1,2)),flip(a)]. given #12111 (H,wt=19): 13358 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(13341(a,2),8226(a,1,1))]. given #12112 (H,wt=19): 13359 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(13358(a,1),7427(a,1,2)),flip(a)]. given #12113 (H,wt=13): 13360 K(x,T(y * z,y)) = K(x,z * y). [hyper(7724,a,13359,a(flip))]. given #12114 (H,wt=13): 13363 K(x,T(y * z,z)) = K(x,z * y). [hyper(62,a,8912,a,b,13360,a)]. given #12115 (H,wt=13): 13364 K(x,(y \ z) * y) = K(x,T(z,y)). [para(10(a,1),13360(a,1,2,1)),flip(a)]. given #12116 (H,wt=15): 13365 T(x,T(y * z,y)) = x * K(x,z * y). [para(13360(a,1),5163(a,2,2))]. given #12117 (H,wt=13): 13368 T(x,T(y * z,y)) = T(x,z * y). [hyper(273,a,5163,a,b,13365,a),flip(a)]. given #12118 (H,wt=14): 13372 T(x,y * x) != z | T(x,x * y) = z. [para(13368(a,1),4350(a,1))]. given #12119 (H,wt=15): 13371 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(62,a,10022,a,b,13368,a)]. given #12120 (H,wt=16): 13369 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(13365(a,2),5167(a,1))]. given #12121 (H,wt=14): 13378 T(x,x * y) != z | T(x,y * x) = z. [para(4209(a,1),13369(a,1))]. given #12122 (H,wt=17): 13361 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8938,a,13360,a)]. given #12123 (H,wt=17): 13362 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(8932,a,13360,a)]. given #12124 (H,wt=17): 13366 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(13360(a,1),12697(a,1,2)),flip(a)]. given #12125 (H,wt=17): 13367 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(13363(a,1),7524(a,1,1))]. given #12126 (H,wt=17): 13370 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(8724,a,13368,a)]. given #12127 (H,wt=13): 13383 T(x,T(y * z,z)) = T(x,z * y). [hyper(33,a,7612,a,b,13370,a)]. given #12128 (H,wt=17): 13373 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [para(13368(a,1),7612(a,1,2))]. given #12129 (H,wt=17): 13381 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(9438,a,13366,a)]. given #12130 (H,wt=18): 13379 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(10022(a,2),13369(a,1))]. given #12131 (H,wt=18): 13385 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(3208(a,1),13379(a,1,1))]. given #12132 (H,wt=19): 13382 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(13366(a,1),8472(a,1,2,2))]. given #12133 (H,wt=18): 13389 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(62,a,11917,a(flip),b,13382,a)]. given #12134 (H,wt=21): 13345 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(417(a,1),13333(a,1,1))]. given #12135 (H,wt=21): 13375 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(u,z)). [para(8458(a,1),13371(a,1,1,2))]. given #12136 (H,wt=21): 13380 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(62,a,11530,a(flip),b,13361,a),flip(a)]. given #12137 (H,wt=22): 13342 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13332(a,1),12741(a,1,1))]. given #12138 (H,wt=22): 13390 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(13389(a,1),11888(a,1,2))]. given #12139 (H,wt=23): 13350 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5887(a,1),13344(a,1,1,2)),flip(a)]. given #12140 (H,wt=23): 13377 T(T(x,K(y,z)),T(T(z,u),u) * y) = T(x,y * T(T(z,u),u)). [para(8541(a,1),13371(a,1,1,2))]. given #12141 (H,wt=23): 13384 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(62,a,9703,a(flip),b,13381,a),flip(a)]. given #12142 (H,wt=19): 13395 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(62,a,8747,a(flip),b,13384,a),flip(a)]. given #12143 (H,wt=19): 13396 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(9438,a,13395,a)]. given #12144 (H,wt=24): 13331 (K(x * y,z) * y) * T(x,y) != x * u | K(y * x,z) * y = u. [para(13329(a,2),42(a,1))]. given #12145 (H,wt=24): 13374 T(x,x * (R(x,y,x) \ z)) != u | T(x,x * (z / R(x,y,x))) = u. [para(10259(a,1),13372(a,1,2))]. given #12146 (H,wt=24): 13386 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(8458(a,1),13379(a,1,1,2))]. given #12147 (H,wt=25): 13339 K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). [para(5698(a,2),13332(a,1,1)),flip(a)]. given #12148 (H,wt=25): 13376 T(T(x,K(y,K(z,u))),K(z,z * u) * y) = T(x,y * K(z,z * u)). [para(8436(a,1),13371(a,1,1,2))]. given #12149 (H,wt=26): 13388 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(8541(a,1),13379(a,1,1,2))]. given #12150 (H,wt=27): 13357 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [hyper(115,a,13356,a,b,4904,a)]. given #12151 (H,wt=23): 13398 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(10(a,1),13357(a,1,2,2,1))]. given #12152 (H,wt=17): 13399 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [hyper(6076,a,13398,a),flip(a)]. given #12153 (H,wt=19): 13400 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3133(a,1),13399(a,1,1))]. given #12154 (H,wt=15): 13402 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(273,a,7247,a(flip),b,13400,a),flip(a)]. given #12155 (H,wt=17): 13403 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(13402(a,1),11096(a,1,1)),flip(a)]. given #12156 (H,wt=17): 13404 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(77(a,1),13403(a,1,1,2,1)),flip(a)]. given #12157 (H,wt=17): 13405 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(176,a,13404,a)]. given #12158 (H,wt=17): 13407 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(62,a,11112,a,b,13405,a),flip(a)]. given #12159 (H,wt=17): 13408 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(13407(a,1),2943(a,1,1))]. given #12160 (H,wt=17): 13409 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6788(a,2),13408(a,1,1))]. given #12161 (H,wt=17): 13410 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(9(a,1),13409(a,1,1,1,1)),flip(a)]. given #12162 (H,wt=18): 13411 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1153,a,13410,a)]. given #12163 (H,wt=19): 13401 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(3134(a,1),13399(a,1,1))]. given #12164 (H,wt=19): 13413 ((x / y) \ T(x,y \ 1)) \ x = (x \ (y \ x)) * x. [para(13401(a,1),11093(a,1,1))]. given #12165 (H,wt=19): 13414 (((x \ (x / y)) * x) \ x) \ x = (x \ (y \ x)) * x. [para(6791(a,1),13413(a,1,1))]. given #12166 (H,wt=19): 13415 (((x \ y) * x) \ x) \ x = (x \ ((y \ x) \ x)) * x. [para(74(a,1),13414(a,1,1,1,1,2))]. given #12167 (H,wt=20): 13406 x / ((x \ (y \ x)) * x) != z | T(1 / y,x) \ 1 = z. [para(13404(a,1),331(a,1,2)),flip(b)]. given #12168 (H,wt=28): 13387 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(8436(a,1),13379(a,1,1,2))]. given #12169 (H,wt=29): 13391 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8932,a,13345,a)]. given #12170 (H,wt=25): 13417 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(822(a,1),13391(a,1,1))]. given #12171 (H,wt=23): 13418 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(62,a,7523,a(flip),b,13417,a),flip(a)]. given #12172 (H,wt=30): 13393 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(13390(a,1),110(a,1,1)),flip(a)]. given #12173 (H,wt=30): 13419 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),T(x * y,K(z,u))),y,x). [hyper(273,a,25,a,b,13393,a),flip(a)]. given #12174 (H,wt=26): 13420 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [para(4209(a,1),13419(a,2,1))]. given #12175 (H,wt=26): 13421 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7460(a,2),13420(a,2,1))]. given #12176 (H,wt=33): 13354 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1918(a,1),13334(a,1,1)),flip(a)]. given #12177 (H,wt=31): 13422 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(64(a,1),13354(a,2,1,2,2,1,2))]. given #12178 (H,wt=29): 13423 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(7(a,1),13422(a,2,1,2))]. given #12179 (H,wt=27): 13424 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(((x * z) / x) / y,u). [hyper(273,a,8558,a(flip),b,13423,a),flip(a)]. given #12180 (H,wt=30): 13425 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(13423(a,2),8952(a,1))]. given #12181 (H,wt=38): 13326 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13324(a,1),9062(a,2,2))]. given #12182 (H,wt=35): 13426 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(273,a,94,a(flip),b,13326,a),flip(a)]. given #12183 (H,wt=33): 13427 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7476(a,1),13426(a,2,2))]. given #12184 (H,wt=31): 13428 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(108(a,1),13427(a,1,1,2,2,1))]. given #12185 (H,wt=29): 13429 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8999(a,1),13428(a,1,1,2))]. given #12186 (H,wt=25): 13430 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7522(a,1),13429(a,1,1))]. given #12187 (H,wt=23): 13431 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(108(a,1),13430(a,1,2,1,1,1))]. given #12188 (H,wt=28): 13433 L(T(K(x * y,z) * y,x),u,K(u,w)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13431(a,1),5757(a,2,2))]. given #12189 (H,wt=26): 13434 L(T(K(x * y,z) * y,x),u,K(u,w)) = K(y,x) * (K(y * x,z) * y). [hyper(273,a,5517,a(flip),b,13433,a),flip(a)]. given #12190 (H,wt=21): 13435 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4890,a,13434,a)]. given #12191 (H,wt=19): 13436 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(62,a,8893,a(flip),b,13435,a),flip(a)]. given #12192 (H,wt=21): 13437 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13436(a,2),13252(a,1,1))]. given #12193 (H,wt=21): 13438 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13340(a,1),13437(a,1,1,1))]. given #12194 (H,wt=38): 13397 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(6727(a,2),13396(a,2,2))]. given #12195 (H,wt=33): 13440 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(18(a,2),13397(a,1,2,2,2)),flip(a)]. given #12196 (H,wt=39): 13355 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,T(1 / x,y)). [para(13338(a,1),13288(a,2,2))]. given #12197 (H,wt=37): 13441 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,1 / x). [para(11701(a,1),13355(a,2,2))]. given #12198 (H,wt=33): 13442 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (y * x) * (1 / x). [hyper(273,a,108,a(flip),b,13441,a),flip(a)]. given #12199 (H,wt=23): 13443 (x * y) * (((1 / x) * (y * x)) / (x * y)) = (y * x) * (1 / x). [para(4544(a,1),13442(a,1,2,1))]. given #12200 (H,wt=17): 13444 (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). [para(10813(a,1),13443(a,1,2))]. given #12201 (H,wt=33): 13445 (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). [para(1668(a,1),13444(a,2,1))]. given #12202 (H,wt=29): 13446 (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). [hyper(524,a,13445,a)]. given #12203 (H,wt=29): 13448 (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). [para(4230(a,2),13446(a,1,2,2))]. given #12204 (H,wt=39): 13439 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6240(a,2),13438(a,1,2,2))]. given #12205 (H,wt=41): 13416 K(x,L(y,((x \ z) * x) \ x,x / (((x \ z) * x) \ x))) = K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)). [para(13415(a,1),11101(a,2,2,3))]. given #12206 (H,wt=37): 13449 K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,((x \ z) * x) \ x,(x \ z) * x)). [para(74(a,1),13416(a,1,2,3)),flip(a)]. given #12207 (H,wt=33): 13451 K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,(x \ z) * x)). [hyper(273,a,10828,a(flip),b,13449,a),flip(a)]. given #12208 (H,wt=29): 13452 K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,z)). [hyper(273,a,10635,a(flip),b,13451,a),flip(a)]. given #12209 (H,wt=25): 13453 K(x,L(y,z \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,z)). [hyper(62,a,10828,a(flip),b,13452,a)]. given #12210 (H,wt=42): 13412 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(12828(a,2),13411(a,2,1,1))]. given #12211 (H,wt=31): 13454 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(9508(a,1),13412(a,1,1)),flip(a)]. given #12212 (H,wt=31): 13455 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(273,a,12828,a(flip),b,13454,a),flip(a)]. given #12213 (H,wt=23): 13457 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(273,a,5163,a,b,13455,a),flip(a)]. given #12214 (H,wt=23): 13458 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(12775(a,1),13457(a,1,1,1))]. given #12215 (H,wt=45): 13459 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(62,a,13164,a,b,13458,a)]. given #12216 (H,wt=45): 13460 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12829(a,1),13459(a,1,2,1,1))]. given #12217 (H,wt=37): 13461 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8816(a,1),13460(a,1,2,1))]. given #12218 (H,wt=37): 13462 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8458(a,1),13461(a,1,2,1))]. given #12219 (H,wt=37): 13464 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12829(a,1),13462(a,1,2,2,1))]. given #12220 (H,wt=29): 13465 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8816(a,1),13464(a,1,2,2))]. given #12221 (H,wt=27): 13467 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12945(a,1),13465(a,1,2))]. given #12222 (H,wt=27): 13468 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(62,a,12829,a(flip),b,13467,a)]. given #12223 (H,wt=25): 13469 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(62,a,12964,a,b,13468,a)]. given #12224 (H,wt=23): 13470 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(62,a,12944,a(flip),b,13469,a)]. given #12225 (H,wt=46): 13392 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(12276(a,1),13342(a,1,1,1))]. given #12226 (H,wt=44): 13471 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5837(a,1),13392(a,1,1))]. given #12227 (H,wt=36): 13472 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(10(a,1),13471(a,1,2,2,1,2))]. given #12228 (H,wt=34): 13474 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9288(a,1),13472(a,1,2))]. given #12229 (H,wt=46): 13394 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(13390(a,1),5367(a,1,2,2)),flip(a)]. given #12230 (H,wt=35): 13475 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(169(a,1),13394(a,2,2))]. given #12231 (H,wt=31): 13476 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(273,a,5157,a,b,13475,a),flip(a)]. given #12232 (H,wt=31): 13478 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(273,a,8443,a,b,13476,a),flip(a)]. given #12233 (H,wt=26): 13479 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(13421(a,1),13478(a,1,2))]. given #12234 (H,wt=26): 13480 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(11898,a,13479,a)]. given #12235 (H,wt=26): 13481 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(9429,a,13480,a)]. given #12236 (H,wt=22): 13482 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(62,a,7541,a(flip),b,13481,a)]. given #12237 (H,wt=18): 13484 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(5356(a,1),13482(a,1,2))]. given #12238 (H,wt=53): 12853 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12850(a,1),4696(a,1,2))]. given #12239 (H,wt=53): 13485 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12829(a,1),12853(a,1,2,1,1))]. given #12240 (H,wt=49): 13486 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11656(a,1),13485(a,1,2,1))]. given #12241 (H,wt=45): 13487 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8505(a,1),13486(a,1,2,1,1))]. given #12242 (H,wt=45): 13488 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12837(a,1),13487(a,1,2,1))]. given #12243 (H,wt=29): 13489 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12928(a,1),13488(a,1,2)),flip(a)]. given #12244 (H,wt=27): 13490 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(273,a,12943,a(flip),b,13489,a),flip(a)]. given #12245 (H,wt=27): 13491 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12829(a,1),13490(a,1,2))]. given #12246 (H,wt=23): 13492 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(62,a,13470,a(flip),b,13491,a)]. given #12247 (H,wt=21): 13493 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(62,a,12872,a(flip),b,13492,a)]. given #12248 (H,wt=21): 13494 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(62,a,9546,a(flip),b,13493,a)]. given #12249 (H,wt=25): 13495 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(13494(a,1),12841(a,1,1)),flip(a)]. given #12250 (H,wt=32): 13496 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(62,a,11305,a(flip),b,13495,a),flip(a)]. given #12251 (H,wt=25): 13497 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12875(a,1),13496(a,1,1)),flip(a)]. given #12252 (H,wt=30): 13499 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(13497(a,1),13142(a,2,1))]. given #12253 (H,wt=28): 13500 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13133(a,1),13499(a,2,1,1))]. given #12254 (H,wt=26): 13502 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7952(a,1),13500(a,1,1,1))]. given #12255 (H,wt=26): 13504 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12145(a,1),13502(a,1,1))]. given #12256 (H,wt=20): 13505 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12101(a,1),13504(a,1,1)),flip(a)]. given #12257 (H,wt=28): 13506 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(13505(a,1),471(a,1,2))]. given #12258 (H,wt=19): 13507 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(11270,a,13506,a),flip(a)]. given #12259 (H,wt=17): 13508 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12782(a,1),13507(a,2,2))]. given #12260 (H,wt=12): 13510 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(273,a,12788,a(flip),b,13508,a),flip(a)]. given #12261 (H,wt=12): 13512 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(51,a,13510,a)]. given #12262 (H,wt=31): 13513 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(13512(a,1),11092(a,1,2))]. given #12263 (H,wt=23): 13514 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12832(a,1),13513(a,1,1,2,1))]. given #12264 (H,wt=16): 13515 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(483,a,13514,a),flip(a)]. given #12265 (H,wt=12): 13517 R(a(x,y,x),z,u) = a(x,y,x). [hyper(33,a,12779,a(flip),b,13515,a),flip(a)]. given #12266 (H,wt=9): 13526 L(x,y,a(z,u,z)) = x. [para(13517(a,1),13512(a,1,3))]. given #12267 (H,wt=12): 13521 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(62,a,13131,a(flip),b,13517,a)]. given #12268 (H,wt=12): 13527 L(x,y,a(z,u,z)) != w | w = x. [para(13526(a,1),49(a,1)),flip(a)]. given #12269 (H,wt=12): 13528 L(x,y,a(z,u,z)) != w | x = w. [para(13526(a,1),49(a,2))]. given #12270 (H,wt=14): 13533 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(13521(a,1),12378(a,1,1)),flip(a)]. given #12271 (H,wt=16): 13522 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(62,a,12952,a(flip),b,13517,a),flip(a)]. given #12272 (H,wt=17): 13523 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(13517(a,1),104(a,1,1)),flip(a)]. given #12273 (H,wt=17): 13529 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(13526(a,1),506(a,1,2))]. given #12274 (H,wt=17): 13535 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(12031(a,2),13533(a,2,1))]. given #12275 (H,wt=15): 13542 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(273,a,11871,a(flip),b,13535,a),flip(a)]. given #12276 (H,wt=12): 13544 L(x,y,L(x,z,u)) = L(x,y,x). [para(341(a,1),13542(a,1,3)),flip(a)]. given #12277 (H,wt=17): 13540 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12779(a,1),13523(a,1,1))]. given #12278 (H,wt=17): 13541 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(10(a,1),13529(a,1,1)),flip(a)]. given #12279 (H,wt=17): 13546 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(273,a,12879,a(flip),b,13540,a),flip(a)]. given #12280 (H,wt=9): 13548 L(x,a(y,z,y),z) = x. [hyper(450,a,13546,a)]. given #12281 (H,wt=10): 13549 L(x,K(y,z),z \ y) = x. [hyper(12981,a,13548,a)]. given #12282 (H,wt=10): 13550 L(x,K(y,z),y / z) = x. [hyper(10642,a,13549,a)]. given #12283 (H,wt=10): 13553 L(x,K(y * z,z),y) = x. [para(11(a,1),13550(a,1,3))]. given #12284 (H,wt=17): 13547 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(122,a,13541,a),flip(a)]. given #12285 (H,wt=18): 13545 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(13544(a,1),30(a,1,1)),flip(a)]. given #12286 (H,wt=19): 13534 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(13521(a,1),13138(a,1,2)),flip(a)]. given #12287 (H,wt=14): 13556 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(273,a,12069,a(flip),b,13534,a),flip(a)]. given #12288 (H,wt=19): 13554 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [hyper(1095,a,13553,a),flip(a)]. given #12289 (H,wt=20): 13558 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(11998,a,13556,a),flip(a)]. given #12290 (H,wt=16): 13560 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(62,a,11141,a(flip),b,13558,a)]. given #12291 (H,wt=14): 13561 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(62,a,12579,a(flip),b,13560,a)]. given #12292 (H,wt=17): 13563 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(62,a,10548,a,b,13561,a)]. given #12293 (H,wt=18): 13564 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(62,a,8133,a(flip),b,13561,a)]. given #12294 (H,wt=18): 13568 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(273,a,11443,a(flip),b,13564,a),flip(a)]. given #12295 (H,wt=18): 13569 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(62,a,10151,a,b,13568,a)]. given #12296 (H,wt=19): 13570 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(62,a,10155,a(flip),b,13568,a)]. given #12297 (H,wt=19): 13574 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [hyper(62,a,10565,a,b,13570,a)]. given #12298 (H,wt=23): 13572 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(1078(a,1),13569(a,1,2,2))]. given #12299 (H,wt=19): 13576 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(273,a,11448,a(flip),b,13572,a),flip(a)]. given #12300 (H,wt=19): 13577 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(10(a,1),13576(a,1,2,2,2,1))]. given #12301 (H,wt=24): 13519 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(62,a,473,a,b,13517,a)]. given #12302 (H,wt=24): 13578 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(10858,a,13577,a),flip(a)]. given #12303 (H,wt=22): 13580 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(22(a,2),13578(a,1,2,2,1))]. given #12304 (H,wt=20): 13581 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(62,a,10546,a(flip),b,13580,a),flip(a)]. given #12305 (H,wt=15): 13582 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(273,a,7123,a(flip),b,13581,a),flip(a)]. given #12306 (H,wt=13): 13583 L(K(x,y),z,y) != u | K(x,y) = u. [para(13582(a,1),11027(a,1))]. given #12307 (H,wt=13): 13587 K(x,L(y,z,y)) != u | K(x,y) = u. [para(7121(a,1),13583(a,1))]. given #12308 (H,wt=16): 13588 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(4394(a,1),13587(a,1,2))]. given #12309 (H,wt=16): 13589 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(7460(a,1),13588(a,1))]. given #12310 (H,wt=24): 13590 K(x,T((K(x,y) * z) / u,z)) != w | K(x,u \ (K(x,y) * z)) = w. [para(7614(a,1),13588(a,1))]. given #12311 (H,wt=25): 13538 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5819(a,1),13522(a,1,2)),flip(a)]. given #12312 (H,wt=27): 13555 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(13545(a,1),12867(a,1,1,2))]. given #12313 (H,wt=27): 13579 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12805(a,1),13519(a,1,1,1))]. given #12314 (H,wt=24): 13593 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(104(a,1),13579(a,1,1))]. given #12315 (H,wt=24): 13594 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(13546(a,1),13593(a,1,1,1))]. given #12316 (H,wt=26): 13595 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(10(a,1),13594(a,1,2,1))]. given #12317 (H,wt=22): 13596 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(12880(a,1),13595(a,1,1,1)),flip(a)]. given #12318 (H,wt=17): 13597 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(273,a,20,a,b,13596,a),flip(a)]. given #12319 (H,wt=17): 13598 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(9(a,1),13597(a,1,2,2)),flip(a)]. given #12320 (H,wt=12): 13599 a(x,R(y,z,u),x) = a(x,y,x). [hyper(62,a,13517,a(flip),b,13598,a),flip(a)]. given #12321 (H,wt=18): 13602 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(13599(a,1),12084(a,1,1)),flip(a)]. given #12322 (H,wt=16): 13603 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(273,a,12084,a(flip),b,13602,a),flip(a)]. given #12323 (H,wt=20): 13601 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(13599(a,1),12056(a,1,1))]. given #12324 (H,wt=18): 13605 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(12811,a,13601,a)]. given #12325 (H,wt=24): 13604 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(13603(a,1),13159(a,1,2))]. given #12326 (H,wt=19): 13607 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(716(a,1),13604(a,1,2)),flip(a)]. given #12327 (H,wt=26): 13609 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(13607(a,1),5108(a,2,2)),flip(a)]. given #12328 (H,wt=26): 13610 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(62,a,13054,a(flip),b,13609,a)]. given #12329 (H,wt=24): 13611 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(13217(a,1),13610(a,1,1))]. given #12330 (H,wt=24): 13612 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(62,a,13301,a,b,13611,a),flip(a)]. given #12331 (H,wt=19): 13613 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(159(a,1),13612(a,2,1,2))]. given #12332 (H,wt=21): 13615 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(12(a,1),13613(a,1,1))]. given #12333 (H,wt=21): 13616 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(62,a,10390,a(flip),b,13615,a)]. given #12334 (H,wt=21): 13617 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(62,a,13380,a(flip),b,13616,a)]. given #12335 (H,wt=21): 13618 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5373(a,1),13617(a,2,1))]. given #12336 (H,wt=27): 13606 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(13605(a,2),4218(a,1,1))]. given #12337 (H,wt=23): 13619 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(62,a,12141,a(flip),b,13606,a)]. given #12338 (H,wt=27): 13614 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(62,a,4562,a,b,13613,a)]. given #12339 (H,wt=25): 13620 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(13613(a,1),13614(a,1,1))]. given #12340 (H,wt=29): 13575 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(13574(a,1),9359(a,1,2))]. given #12341 (H,wt=27): 13621 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(10455(a,1),13575(a,1,1))]. given #12342 (H,wt=30): 13530 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(13526(a,1),445(a,1,2,1)),flip(a)]. given #12343 (H,wt=30): 13591 K(x,T(((y * K(z,x)) * u) / w,y * u)) != v5 | K(x,w \ ((y * K(z,x)) * u)) = v5. [para(8668(a,1),13588(a,1))]. given #12344 (H,wt=30): 13622 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(13523(a,1),13530(a,2,1))]. given #12345 (H,wt=30): 13623 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(273,a,13529,a(flip),b,13622,a),flip(a)]. given #12346 (H,wt=25): 13624 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(20(a,2),13623(a,2,2))]. given #12347 (H,wt=19): 13625 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(13526(a,1),13624(a,1,2))]. given #12348 (H,wt=31): 13539 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(13523(a,1),14(a,2,1)),flip(a)]. given #12349 (H,wt=31): 13592 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(62,a,12180,a(flip),b,13538,a)]. given #12350 (H,wt=30): 13628 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5324(a,1),13592(a,2,2))]. given #12351 (H,wt=25): 13629 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(12065,a,13628,a)]. given #12352 (H,wt=31): 13627 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(13523(a,1),13539(a,1,2,1))]. given #12353 (H,wt=31): 13630 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(13523(a,1),13627(a,1,2))]. given #12354 (H,wt=24): 13631 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(746,a,13630,a)]. given #12355 (H,wt=14): 13632 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(13528,a,13631,a),flip(a)]. given #12356 (H,wt=15): 13634 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(12058(a,1),13632(a,1,1))]. given #12357 (H,wt=15): 13635 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(12070(a,1),13632(a,1,1))]. given #12358 (H,wt=15): 13636 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(12068(a,1),13632(a,1,1))]. given #12359 (H,wt=15): 13637 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(10(a,1),13634(a,1,1,1)),flip(a)]. given #12360 (H,wt=19): 13639 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(62,a,13618,a,b,13637,a)]. given #12361 (H,wt=19): 13640 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(6124(a,1),13637(a,1,1))]. given #12362 (H,wt=23): 13638 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(7846(a,2),13636(a,2,1)),flip(a)]. given #12363 (H,wt=21): 13643 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(6380(a,1),13638(a,2,1))]. given #12364 (H,wt=19): 13644 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(273,a,13640,a(flip),b,13643,a),flip(a)]. given #12365 (H,wt=17): 13645 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(107(a,1),13644(a,1,1,1,2))]. given #12366 (H,wt=15): 13646 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(62,a,13635,a(flip),b,13645,a),flip(a)]. given #12367 (H,wt=15): 13648 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(3635(a,1),13646(a,1,1)),flip(a)]. given #12368 (H,wt=21): 13647 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(62,a,13214,a,b,13646,a)]. given #12369 (H,wt=25): 13649 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(6173(a,1),13646(a,1,1))]. given #12370 (H,wt=23): 13651 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(62,a,13646,a(flip),b,13649,a)]. given #12371 (H,wt=21): 13652 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(62,a,13646,a(flip),b,13651,a),flip(a)]. given #12372 (H,wt=19): 13654 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(62,a,13646,a(flip),b,13652,a)]. given #12373 (H,wt=27): 13650 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11108(a,2),13648(a,2,1)),flip(a)]. given #12374 (H,wt=25): 13655 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6194(a,1),13650(a,2,1))]. given #12375 (H,wt=23): 13656 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(273,a,13648,a(flip),b,13655,a),flip(a)]. given #12376 (H,wt=21): 13657 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11108(a,1),13656(a,1,1))]. given #12377 (H,wt=21): 13658 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(273,a,13654,a(flip),b,13657,a),flip(a)]. given #12378 (H,wt=27): 13653 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(62,a,13237,a,b,13652,a)]. given #12379 (H,wt=19): 13659 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13647(a,1),13653(a,1,1)),flip(a)]. given #12380 (H,wt=25): 13660 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(273,a,13620,a(flip),b,13659,a),flip(a)]. given #12381 (H,wt=23): 13661 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(62,a,13658,a(flip),b,13660,a)]. given #12382 (H,wt=32): 13566 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(62,a,7794,a(flip),b,13563,a)]. given #12383 (H,wt=30): 13662 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13198(a,1),13566(a,1,1))]. given #12384 (H,wt=28): 13663 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8782(a,1),13662(a,1,1,2))]. given #12385 (H,wt=24): 13664 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(7471(a,1),13663(a,1,1)),flip(a)]. given #12386 (H,wt=22): 13665 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(273,a,10787,a(flip),b,13664,a),flip(a)]. given #12387 (H,wt=27): 13667 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(466(a,1),13665(a,1,2,1,1)),flip(a)]. given #12388 (H,wt=25): 13668 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(62,a,6190,a(flip),b,13667,a)]. given #12389 (H,wt=22): 13669 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(62,a,8043,a(flip),b,13668,a),flip(a)]. given #12390 (H,wt=22): 13671 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(62,a,10854,a(flip),b,13669,a)]. given #12391 (H,wt=20): 13672 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(66(a,1),13671(a,1,2,2))]. given #12392 (H,wt=17): 13673 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(62,a,6202,a(flip),b,13672,a)]. given #12393 (H,wt=19): 13675 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(13673(a,2),5368(a,1,1))]. given #12394 (H,wt=17): 13676 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6231,a,13675,a)]. given #12395 (H,wt=18): 13677 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(232(a,2),13676(a,2,2)),flip(a)]. given #12396 (H,wt=20): 13678 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(62,a,13362,a,b,13677,a)]. given #12397 (H,wt=17): 13679 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(62,a,8614,a(flip),b,13678,a),flip(a)]. given #12398 (H,wt=17): 13680 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(62,a,13676,a(flip),b,13679,a)]. given #12399 (H,wt=16): 13683 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13680(a,1),12658(a,1,2))]. given #12400 (H,wt=16): 13684 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(2721(a,1),13683(a,1,2,2))]. given #12401 (H,wt=17): 13685 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(13684(a,1),12703(a,2,2))]. given #12402 (H,wt=17): 13686 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(8443(a,2),13685(a,2,2))]. given #12403 (H,wt=18): 13682 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(489(a,1),13680(a,1,2)),flip(a)]. given #12404 (H,wt=18): 13688 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(11880,a,13682,a)]. given #12405 (H,wt=18): 13689 K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). [para(11(a,1),13688(a,1,1,2)),flip(a)]. given #12406 (H,wt=21): 13681 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(62,a,11676,a,b,13680,a)]. given #12407 (H,wt=22): 13690 K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). [hyper(7933,a,13689,a)]. given #12408 (H,wt=17): 13691 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [hyper(273,a,9864,a(flip),b,13690,a),flip(a)]. given #12409 (H,wt=19): 13694 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(13691(a,1),12521(a,1,3)),flip(a)]. given #12410 (H,wt=15): 13695 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(62,a,12522,a(flip),b,13694,a),flip(a)]. given #12411 (H,wt=17): 13696 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6485(a,1),13695(a,1,3))]. given #12412 (H,wt=32): 13642 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(62,a,6481,a(flip),b,13639,a)]. given #12413 (H,wt=35): 13626 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(13625(a,2),13284(a,1,1,2))]. given #12414 (H,wt=21): 13697 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(10(a,1),13626(a,1,1,2,1)),flip(a)]. given #12415 (H,wt=28): 13698 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13697(a,1),13642(a,1,1))]. given #12416 (H,wt=24): 13699 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(9(a,1),13698(a,1,2))]. given #12417 (H,wt=17): 13700 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5189,a,13699,a),flip(a)]. given #12418 (H,wt=21): 13702 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13700(a,1),13268(a,2,2))]. given #12419 (H,wt=42): 13641 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(62,a,6731,a(flip),b,13639,a)]. given #12420 (H,wt=33): 13703 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5073(a,1),13641(a,1,1))]. given #12421 (H,wt=29): 13704 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(9(a,1),13703(a,1,2,2))]. given #12422 (H,wt=44): 13525 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(13517(a,1),12071(a,1,1,1)),flip(a)]. given #12423 (H,wt=44): 13706 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(12804(a,1),13525(a,2,1))]. given #12424 (H,wt=43): 13708 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(645(a,1),13706(a,2,1,2,1))]. given #12425 (H,wt=41): 13709 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5141(a,1),13708(a,2,1))]. given #12426 (H,wt=32): 13710 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(273,a,18,a,b,13709,a),flip(a)]. given #12427 (H,wt=25): 13711 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(13517(a,1),13710(a,1,3))]. given #12428 (H,wt=15): 13712 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(13528,a,13711,a),flip(a)]. given #12429 (H,wt=15): 13715 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(10(a,1),13712(a,1,3,1)),flip(a)]. given #12430 (H,wt=10): 13716 L(x,y / z,K(y,z)) = x. [hyper(7551,a,13715,a)]. given #12431 (H,wt=17): 13717 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(13716(a,1),5628(a,1,2)),flip(a)]. given #12432 (H,wt=17): 13718 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5423,a,13717,a)]. given #12433 (H,wt=12): 13719 R(K(x,y),x \ y,z) = K(x,y). [hyper(9561,a,13718,a)]. given #12434 (H,wt=14): 13720 R(K(x,x * y),y,z) = K(x,x * y). [para(9(a,1),13719(a,1,2))]. given #12435 (H,wt=16): 13722 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(62,a,10917,a,b,13720,a)]. given #12436 (H,wt=18): 13723 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(13720(a,1),10920(a,2,2))]. given #12437 (H,wt=16): 13725 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(273,a,5163,a,b,13723,a),flip(a)]. given #12438 (H,wt=15): 13727 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(62,a,4806,a(flip),b,13725,a)]. given #12439 (H,wt=15): 13728 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(12(a,1),13727(a,1,2,1,2))]. given #12440 (H,wt=15): 13729 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(62,a,10181,a,b,13728,a)]. given #12441 (H,wt=17): 13730 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(273,a,5163,a(flip),b,13729,a)]. given #12442 (H,wt=15): 13731 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(33,a,9236,a,b,13730,a)]. given #12443 (H,wt=15): 13732 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(33,a,5163,a(flip),b,13730,a)]. given #12444 (H,wt=15): 13733 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6566,a,13731,a)]. given #12445 (H,wt=19): 13738 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(13733(a,1),8226(a,1,1,2))]. given #12446 (H,wt=15): 13739 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(8240,a,13738,a),flip(a)]. given #12447 (H,wt=21): 13734 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(62,a,9362,a,b,13731,a)]. given #12448 (H,wt=21): 13742 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(11447(a,1),13734(a,1,2))]. given #12449 (H,wt=19): 13743 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(62,a,13621,a(flip),b,13742,a)]. given #12450 (H,wt=22): 13736 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(20(a,2),13733(a,1,2,1)),flip(a)]. given #12451 (H,wt=22): 13740 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(20(a,2),13739(a,1,1,1)),flip(a)]. given #12452 (H,wt=22): 13744 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(62,a,11938,a(flip),b,13743,a),flip(a)]. given #12453 (H,wt=17): 13745 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(62,a,13736,a(flip),b,13744,a),flip(a)]. given #12454 (H,wt=23): 13735 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(13732(a,1),8615(a,1,1,2))]. given #12455 (H,wt=19): 13747 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8734,a,13735,a),flip(a)]. given #12456 (H,wt=19): 13748 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(62,a,9100,a(flip),b,13747,a)]. given #12457 (H,wt=19): 13749 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10275,a,13748,a)]. given #12458 (H,wt=23): 13737 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(13733(a,1),6845(a,1,1))]. given #12459 (H,wt=21): 13751 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(62,a,6845,a(flip),b,13737,a),flip(a)]. given #12460 (H,wt=24): 13741 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(2826(a,1),13739(a,2,1,2))]. given #12461 (H,wt=20): 13752 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(11(a,1),13741(a,1,1,1)),flip(a)]. given #12462 (H,wt=16): 13753 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [hyper(273,a,5686,a(flip),b,13752,a),flip(a)]. given #12463 (H,wt=25): 13746 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(62,a,12191,a(flip),b,13745,a),flip(a)]. given #12464 (H,wt=34): 13750 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(13749(a,1),13474(a,1,2))]. given #12465 (H,wt=30): 13755 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(8928(a,1),13750(a,1,2)),flip(a)]. given #12466 (H,wt=23): 13756 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(273,a,5493,a(flip),b,13755,a),flip(a)]. given #12467 (H,wt=52): 13584 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(13582(a,1),12013(a,1,1,2)),flip(a)]. given #12468 (H,wt=36): 13757 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [hyper(273,a,9769,a(flip),b,13584,a),flip(a)]. given #12469 (H,wt=32): 13759 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [hyper(273,a,10471,a(flip),b,13757,a),flip(a)]. given #12470 (H,wt=15): 13760 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(62,a,11077,a(flip),b,13759,a)]. given #12471 (H,wt=19): 13761 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(13760(a,1),12630(a,1,1,2)),flip(a)]. given #12472 (H,wt=15): 13762 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(273,a,12630,a(flip),b,13761,a),flip(a)]. given #12473 (H,wt=54): 6311 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1418(a,1),5079(a,1,1,1,2,1))]. given #12474 (H,wt=50): 13763 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5372(a,1),6311(a,1,1,1,2))]. given #12475 (H,wt=43): 13764 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(6885(a,1),13763(a,1,1,1))]. given #12476 (H,wt=37): 13765 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1419(a,1),13764(a,1,2))]. given #12477 (H,wt=31): 13766 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(734,a,13765,a),flip(a)]. given #12478 (H,wt=25): 13767 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1419(a,1),13766(a,1,1))]. given #12479 (H,wt=33): 13768 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(62,a,12410,a,b,13767,a)]. given #12480 (H,wt=31): 13769 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(12028(a,1),13768(a,2,1))]. given #12481 (H,wt=31): 13770 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(273,a,12164,a(flip),b,13769,a),flip(a)]. given #12482 (H,wt=23): 13771 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(12131(a,1),13770(a,1,2))]. given #12483 (H,wt=39): 13773 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13771(a,1),11592(a,1,1))]. given #12484 (H,wt=15): 13774 L(a(x,y,x),L(x,z,u),w) = a(x,y,x). [hyper(328,a,13773,a)]. given #12485 (H,wt=18): 13775 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(13773(a,1),288(a,1))]. given #12486 (H,wt=57): 9652 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(9186(a,1),5776(a,1,2,1))]. given #12487 (H,wt=57): 11341 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1580(a,2),9492(a,2,1))]. given #12488 (H,wt=50): 13778 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(599(a,1),11341(a,1,1))]. given #12489 (H,wt=46): 13779 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(5153(a,1),13778(a,1,1,1,2))]. given #12490 (H,wt=39): 13780 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(62,a,5983,a(flip),b,13779,a),flip(a)]. given #12491 (H,wt=37): 13781 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2172(a,1),13780(a,1,1,2))]. given #12492 (H,wt=33): 13782 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(822(a,1),13781(a,1,1,2,1,2))]. given #12493 (H,wt=29): 13783 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1514(a,1),13782(a,1,1,2,1,2))]. given #12494 (H,wt=23): 13784 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(199(a,1),13783(a,1,1,2))]. given #12495 (H,wt=19): 13785 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(524,a,13784,a),flip(a)]. given #12496 (H,wt=19): 13787 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(6375,a,13785,a),flip(a)]. given #12497 (H,wt=21): 13790 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(110(a,1),13785(a,2,1))]. given #12498 (H,wt=19): 13793 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(6104,a,13790,a)]. given #12499 (H,wt=19): 13794 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [hyper(131,a,13793,a)]. given #12500 (H,wt=19): 13795 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9(a,1),13794(a,1,2,1)),flip(a)]. given #12501 (H,wt=10): 13796 R(x,y,K(x \ 1,z)) = x. [hyper(7295,a,13795,a)]. given #12502 (H,wt=12): 13801 R(x \ 1,y,K(x,z)) = x \ 1. [para(3109(a,1),13796(a,1,3))]. given #12503 (H,wt=14): 13797 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6304,a,13795,a)]. given #12504 (H,wt=14): 13799 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(13796(a,1),27(a,2,1))]. given #12505 (H,wt=13): 13805 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(62,a,6102,a(flip),b,13799,a),flip(a)]. given #12506 (H,wt=15): 13807 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(115,a,13805,a(flip),b,5163,a(flip)),flip(a)]. given #12507 (H,wt=13): 13812 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(273,a,5111,a,b,13807,a),flip(a)]. given #12508 (H,wt=13): 13813 K(x,y / K(x \ 1,z)) = K(x,y). [para(12(a,1),13812(a,1,2)),flip(a)]. given #12509 (H,wt=13): 13815 K(x,K(x \ 1,y) * z) = K(x,z). [para(7476(a,1),13812(a,1,2))]. given #12510 (H,wt=13): 13817 K(x,y * K(z,x \ 1)) = K(x,y). [para(8218(a,1),13812(a,1,2)),flip(a)]. given #12511 (H,wt=15): 13810 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7561(a,1),13805(a,1,2))]. given #12512 (H,wt=15): 13816 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(7561(a,1),13812(a,1,2))]. given #12513 (H,wt=15): 13818 K(x,y / K(x \ 1,z)) = 1 / K(y,x). [hyper(273,a,5370,a,b,13813,a),flip(a)]. given #12514 (H,wt=13): 13823 K(x / K(y \ 1,z),y) = K(x,y). [hyper(5390,a,13818,a)]. given #12515 (H,wt=13): 13824 K(x * K(y \ 1,z),y) = K(x,y). [para(11(a,1),13823(a,1,1)),flip(a)]. given #12516 (H,wt=13): 13825 K(x * K(y,z \ 1),z) = K(x,z). [para(8224(a,1),13823(a,1,1))]. given #12517 (H,wt=13): 13829 K(K(x,y \ 1) * z,y) = K(z,y). [para(7486(a,1),13824(a,1,1)),flip(a)]. given #12518 (H,wt=15): 13826 K(x / T(y,z \ 1),z) = K(x / y,z). [para(8252(a,1),13823(a,1,1)),flip(a)]. given #12519 (H,wt=15): 13830 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(8221(a,1),13824(a,1,1)),flip(a)]. given #12520 (H,wt=17): 13819 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(9796(a,1),13815(a,1,2))]. given #12521 (H,wt=17): 13820 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6569(a,1),13817(a,1,2,2))]. given #12522 (H,wt=17): 13827 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6485(a,1),13824(a,1,1,2))]. given #12523 (H,wt=17): 13831 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5597(a,1),13829(a,1,1,1))]. given #12524 (H,wt=18): 13804 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(13797(a,1),8226(a,1,1,2)),flip(a)]. given #12525 (H,wt=14): 13839 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(273,a,8226,a(flip),b,13804,a),flip(a)]. given #12526 (H,wt=19): 13802 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(13801(a,1),104(a,1,1)),flip(a)]. given #12527 (H,wt=19): 13821 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(110(a,1),13810(a,1,2,1)),flip(a)]. given #12528 (H,wt=19): 13834 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(10108,a,13826,a)]. given #12529 (H,wt=19): 13835 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(9096(a,1),13819(a,1,2,2))]. given #12530 (H,wt=19): 13836 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(8222(a,1),13820(a,1,2))]. given #12531 (H,wt=19): 13837 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6613(a,1),13827(a,1,1)),flip(a)]. given #12532 (H,wt=19): 13838 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5898(a,1),13831(a,1,1)),flip(a)]. given #12533 (H,wt=19): 13843 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(212,a,13802,a,b,6334,a)]. given #12534 (H,wt=15): 13850 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(4999,a,13843,a),flip(a)]. given #12535 (H,wt=19): 13844 K(x / (y \ T(z,y \ 1)),y) = K(x / (y \ z),y). [hyper(273,a,10061,a(flip),b,13834,a),flip(a)]. given #12536 (H,wt=21): 13849 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(62,a,10831,a,b,13838,a)]. given #12537 (H,wt=22): 13845 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(13834(a,2),10108(a,1))]. given #12538 (H,wt=23): 13846 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6688(a,1),13835(a,1,2,2)),flip(a)]. given #12539 (H,wt=24): 13853 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(13846(a,1),8875(a,1,1))]. given #12540 (H,wt=24): 13854 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7653,a,13853,a)]. given #12541 (H,wt=20): 13855 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(9407,a,13854,a),flip(a)]. given #12542 (H,wt=25): 13791 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(13787(a,1),7601(a,1,1))]. given #12543 (H,wt=19): 13857 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(8058,a,13791,a),flip(a)]. given #12544 (H,wt=23): 13861 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(3635(a,1),13857(a,2,2))]. given #12545 (H,wt=19): 13862 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(3635(a,1),13861(a,1,1,2))]. given #12546 (H,wt=19): 13863 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6375,a,13862,a),flip(a)]. given #12547 (H,wt=23): 13865 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(13863(a,2),6332(a,1,2))]. given #12548 (H,wt=19): 13866 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(252,a,13865,a)]. given #12549 (H,wt=12): 13867 R(K(x,y),z,x \ 1) = K(x,y). [hyper(7295,a,13866,a)]. given #12550 (H,wt=12): 13868 L(x \ 1,y,K(x,z)) = x \ 1. [hyper(450,a,13866,a)]. given #12551 (H,wt=12): 13869 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9554,a,13867,a)]. given #12552 (H,wt=14): 13874 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(13869(a,1),5163(a,2,2))]. given #12553 (H,wt=12): 13877 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(273,a,5163,a,b,13874,a),flip(a)]. given #12554 (H,wt=20): 13870 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(13868(a,1),804(a,1,1)),flip(a)]. given #12555 (H,wt=17): 13879 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(62,a,7430,a(flip),b,13870,a)]. given #12556 (H,wt=17): 13881 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8548(a,1),13879(a,1,3))]. given #12557 (H,wt=15): 13882 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(62,a,6757,a(flip),b,13881,a)]. given #12558 (H,wt=21): 13875 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(13869(a,1),5822(a,1,2)),flip(a)]. given #12559 (H,wt=21): 13890 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(273,a,3212,a(flip),b,13875,a),flip(a)]. given #12560 (H,wt=22): 13886 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(13882(a,1),2031(a,1,1,2))]. given #12561 (H,wt=19): 13892 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(62,a,7262,a(flip),b,13886,a),flip(a)]. given #12562 (H,wt=21): 13895 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(13892(a,1),1889(a,1,1))]. given #12563 (H,wt=25): 13847 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(13836(a,2),6507(a,2,2))]. given #12564 (H,wt=25): 13848 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(13837(a,2),6592(a,2,2))]. given #12565 (H,wt=25): 13864 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(25(a,2),13863(a,2,2))]. given #12566 (H,wt=25): 13878 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(696(a,1),13877(a,1,2))]. given #12567 (H,wt=23): 13896 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(62,a,11560,a(flip),b,13878,a)]. given #12568 (H,wt=21): 13897 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(72(a,1),13896(a,1,2,2))]. given #12569 (H,wt=19): 13898 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(110(a,1),13897(a,1,2)),flip(a)]. given #12570 (H,wt=17): 13899 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(273,a,11240,a(flip),b,13898,a),flip(a)]. given #12571 (H,wt=17): 13900 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(62,a,13821,a(flip),b,13899,a)]. given #12572 (H,wt=21): 13901 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(22(a,2),13900(a,1,2,1)),flip(a)]. given #12573 (H,wt=20): 13902 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(62,a,10185,a(flip),b,13901,a)]. given #12574 (H,wt=16): 13903 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(273,a,13810,a(flip),b,13902,a),flip(a)]. given #12575 (H,wt=17): 13904 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(62,a,10184,a(flip),b,13903,a)]. given #12576 (H,wt=15): 13905 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(11483,a,13904,a),flip(a)]. given #12577 (H,wt=17): 13906 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(62,a,10277,a(flip),b,13905,a),flip(a)]. given #12578 (H,wt=24): 13907 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(13906(a,1),5493(a,1,2))]. given #12579 (H,wt=15): 13908 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(62,a,12743,a(flip),b,13907,a),flip(a)]. given #12580 (H,wt=15): 13910 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(77(a,1),13908(a,1,2,2)),flip(a)]. given #12581 (H,wt=19): 13911 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(10(a,2),13910(a,1,2))]. given #12582 (H,wt=13): 13912 L(x,y / z,x) = L(x,z \ y,x). [hyper(62,a,13756,a(flip),b,13911,a)]. given #12583 (H,wt=13): 13915 L(x,(y \ z) \ z,x) = L(x,y,x). [para(74(a,1),13912(a,1,2)),flip(a)]. given #12584 (H,wt=13): 13919 L(x,y * K(z,y),x) = L(x,y,x). [para(5971(a,1),13915(a,1,2)),flip(a)]. given #12585 (H,wt=15): 13914 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(273,a,12476,a(flip),b,13912,a),flip(a)]. given #12586 (H,wt=19): 13920 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5822(a,1),13919(a,1,2))]. given #12587 (H,wt=24): 13916 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5315(a,2),13912(a,1,2))]. given #12588 (H,wt=20): 13922 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(62,a,13920,a(flip),b,13916,a),flip(a)]. given #12589 (H,wt=24): 13921 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(62,a,10433,a,b,13914,a)]. given #12590 (H,wt=21): 13925 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(13921(a,1),10343(a,1,1)),flip(a)]. given #12591 (H,wt=21): 13926 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7505(a,1),13925(a,1,2,2))]. given #12592 (H,wt=21): 13928 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(273,a,25,a,b,13926,a),flip(a)]. given #12593 (H,wt=19): 13929 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5506(a,1),13928(a,1,2))]. given #12594 (H,wt=21): 13930 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8980(a,2),13929(a,1,2))]. given #12595 (H,wt=19): 13931 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(9724,a,13930,a)]. given #12596 (H,wt=25): 13891 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(115,a,13890,a,b,4587,a)]. given #12597 (H,wt=23): 13932 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(641(a,1),13891(a,2,2))]. given #12598 (H,wt=20): 13933 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5317(a,1),13932(a,1,2)),flip(a)]. given #12599 (H,wt=24): 13934 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(13933(a,1),9168(a,1,2,1))]. given #12600 (H,wt=24): 13935 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(62,a,9872,a(flip),b,13934,a)]. given #12601 (H,wt=18): 13936 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(62,a,10857,a(flip),b,13935,a),flip(a)]. given #12602 (H,wt=14): 13938 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(9(a,1),13936(a,2,2))]. given #12603 (H,wt=26): 13803 K(x,y) * z != (x \ 1) * (u * K(x,y)) | T((x \ 1) * u,K(x,y)) = z. [para(13801(a,1),486(a,1,1)),flip(a)]. given #12604 (H,wt=26): 13841 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(4349(a,2),13839(a,2,2))]. given #12605 (H,wt=26): 13851 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(13850(a,2),12327(a,2,2))]. given #12606 (H,wt=22): 13941 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(12(a,1),13851(a,2,2,1))]. given #12607 (H,wt=26): 13940 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3793(a,1),13841(a,1,2,1))]. given #12608 (H,wt=22): 13943 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(62,a,6161,a(flip),b,13940,a)]. given #12609 (H,wt=18): 13944 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(77(a,1),13943(a,2,2,1,2))]. given #12610 (H,wt=16): 13945 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(66(a,1),13944(a,2,2,1))]. given #12611 (H,wt=14): 13947 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(177(a,1),13945(a,2,2,2))]. given #12612 (H,wt=12): 13948 L(K(x,y),z,y \ 1) = K(x,y). [para(7(a,1),13947(a,2,2))]. given #12613 (H,wt=12): 13949 K(L(x,y,z \ 1),z) = K(x,z). [hyper(11039,a,13948,a)]. given #12614 (H,wt=19): 13953 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [para(13948(a,1),94(a,1,2))]. given #12615 (H,wt=23): 13952 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(62,a,7115,a(flip),b,13948,a)]. given #12616 (H,wt=21): 13956 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(62,a,11235,a(flip),b,13952,a)]. given #12617 (H,wt=17): 13957 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(273,a,13830,a(flip),b,13956,a),flip(a)]. given #12618 (H,wt=17): 13958 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(7928,a,13957,a)]. given #12619 (H,wt=20): 13960 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(62,a,9111,a(flip),b,13958,a)]. given #12620 (H,wt=16): 13961 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(273,a,9964,a(flip),b,13960,a),flip(a)]. given #12621 (H,wt=21): 13959 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(62,a,11695,a(flip),b,13958,a),flip(a)]. given #12622 (H,wt=19): 13963 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(8952,a,13959,a)]. given #12623 (H,wt=17): 13964 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(10232,a,13963,a),flip(a)]. given #12624 (H,wt=21): 13966 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(108(a,1),13964(a,1,1,2)),flip(a)]. given #12625 (H,wt=17): 13967 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(13845,a,13966,a),flip(a)]. given #12626 (H,wt=20): 13968 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(62,a,11304,a,b,13967,a)]. given #12627 (H,wt=20): 13969 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(273,a,11959,a(flip),b,13968,a),flip(a)]. given #12628 (H,wt=20): 13970 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6220(a,2),13969(a,1,1))]. given #12629 (H,wt=17): 13971 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(62,a,13068,a(flip),b,13970,a),flip(a)]. given #12630 (H,wt=17): 13972 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(10(a,1),13971(a,1,1,1,2)),flip(a)]. given #12631 (H,wt=17): 13973 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [hyper(273,a,13739,a(flip),b,13972,a),flip(a)]. given #12632 (H,wt=17): 13974 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(62,a,11855,a,b,13973,a)]. given #12633 (H,wt=22): 13975 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(13974(a,1),12151(a,1,1))]. given #12634 (H,wt=20): 13976 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(8546(a,1),13975(a,1,2))]. given #12635 (H,wt=13): 13977 a(x,y / z,x) = a(x,z \ y,x). [hyper(12067,a,13976,a)]. given #12636 (H,wt=13): 13979 a(x,(y \ z) \ z,x) = a(x,y,x). [para(74(a,1),13977(a,1,2)),flip(a)]. given #12637 (H,wt=11): 13982 a(x,T(y,z),x) = a(x,y,x). [para(4245(a,2),13979(a,1,2))]. given #12638 (H,wt=13): 13983 a(x,y * K(z,y),x) = a(x,y,x). [para(5971(a,1),13979(a,1,2)),flip(a)]. given #12639 (H,wt=12): 13987 L(a(x,y,x),y,z) = a(x,y,x). [hyper(62,a,13522,a(flip),b,13983,a)]. given #12640 (H,wt=16): 13978 a(x,y \ z,x) != u | a(x,z / y,x) = u. [para(13976(a,1),12067(a,1))]. given #12641 (H,wt=19): 13984 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(11176(a,1),13979(a,1,2)),flip(a)]. given #12642 (H,wt=20): 13980 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(105(a,2),13977(a,1,2))]. given #12643 (H,wt=20): 13990 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(62,a,13984,a(flip),b,13980,a)]. given #12644 (H,wt=17): 13991 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(62,a,13599,a(flip),b,13990,a),flip(a)]. given #12645 (H,wt=15): 13995 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(7(a,1),13991(a,1,2,2))]. given #12646 (H,wt=15): 13997 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(13978,a,13995,a)]. given #12647 (H,wt=22): 13989 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(13987(a,1),13629(a,1,1))]. given #12648 (H,wt=22): 13999 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(273,a,13977,a(flip),b,13989,a),flip(a)]. given #12649 (H,wt=17): 14001 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(18(a,2),13999(a,2,2))]. given #12650 (H,wt=23): 13954 K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). [para(771(a,1),13949(a,1,1))]. given #12651 (H,wt=21): 14003 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(9401,a,13954,a)]. given #12652 (H,wt=23): 13996 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(13991(a,1),12812(a,1,2,1)),flip(a)]. given #12653 (H,wt=17): 14004 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(273,a,12812,a(flip),b,13996,a),flip(a)]. given #12654 (H,wt=16): 14006 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(62,a,13922,a(flip),b,14004,a)]. given #12655 (H,wt=12): 14008 L(x,R(y,z,u),x) = L(x,y,x). [para(9(a,1),14006(a,2,2))]. given #12656 (H,wt=24): 13985 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(273,a,12178,a,b,13982,a),flip(a)]. given #12657 (H,wt=19): 14009 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(12157,a,13985,a)]. given #12658 (H,wt=19): 14010 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(273,a,7460,a(flip),b,14009,a),flip(a)]. given #12659 (H,wt=23): 14012 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(9047(a,2),14010(a,2,1)),flip(a)]. given #12660 (H,wt=23): 14013 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5626(a,2),14012(a,1,1,1))]. given #12661 (H,wt=25): 13955 (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). [para(8570(a,1),13953(a,1,2)),flip(a)]. given #12662 (H,wt=23): 14015 ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). [para(8570(a,1),13955(a,1,2,2)),flip(a)]. given #12663 (H,wt=25): 14014 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(62,a,13082,a,b,14013,a)]. given #12664 (H,wt=15): 14016 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(33,a,8989,a,b,14014,a)]. given #12665 (H,wt=18): 14017 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [hyper(62,a,12339,a,b,14016,a)]. given #12666 (H,wt=19): 14018 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). [para(14016(a,1),5201(a,2,2,2)),flip(a)]. given #12667 (H,wt=15): 14020 T(x,T(y * x,z)) = T(x,x * T(y,z)). [hyper(7529,a,14018,a)]. given #12668 (H,wt=15): 14021 T(x,T(x * y,z)) = T(x,x * T(y,z)). [hyper(62,a,4931,a(flip),b,14020,a)]. given #12669 (H,wt=25): 14022 T(x / T(y,x),z) * T(y,T(y * (y \ x),z)) = y * T(y \ x,z). [para(14021(a,2),11781(a,1,2))]. given #12670 (H,wt=21): 14023 T(x / T(y,x),z) * T(y,T(x,z)) = y * T(y \ x,z). [para(10(a,1),14022(a,1,2,2,1))]. given #12671 (H,wt=17): 14024 x * K(T(x,y) / y,z) = y * T(y \ x,z). [hyper(62,a,10249,a(flip),b,14023,a)]. given #12672 (H,wt=13): 14025 K(T(x,y) / y,z) = K(y \ x,z). [hyper(33,a,6455,a(flip),b,14024,a),flip(a)]. given #12673 (H,wt=13): 14026 K(x / T(y,x),z) = K(y \ x,z). [hyper(62,a,10248,a(flip),b,14025,a)]. given #12674 (H,wt=17): 14027 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(14025(a,1),10340(a,2,2))]. given #12675 (H,wt=26): 13962 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(13961(a,1),5735(a,1,2,1,2))]. given #12676 (H,wt=20): 14029 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5913,a,13962,a),flip(a)]. given #12677 (H,wt=21): 14030 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2707(a,1),14029(a,1,1,1))]. given #12678 (H,wt=21): 14031 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(62,a,5689,a(flip),b,14030,a)]. given #12679 (H,wt=21): 14032 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(273,a,9893,a(flip),b,14031,a),flip(a)]. given #12680 (H,wt=19): 14033 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(62,a,14003,a(flip),b,14032,a),flip(a)]. given #12681 (H,wt=17): 14034 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(8952,a,14033,a),flip(a)]. given #12682 (H,wt=17): 14035 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(273,a,11960,a(flip),b,14034,a),flip(a)]. given #12683 (H,wt=17): 14036 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(9(a,1),14035(a,1,1,1)),flip(a)]. given #12684 (H,wt=17): 14037 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [hyper(62,a,11963,a(flip),b,14036,a)]. given #12685 (H,wt=17): 14038 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(11(a,1),14036(a,1,1,1)),flip(a)]. given #12686 (H,wt=17): 14039 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [hyper(273,a,11118,a(flip),b,14037,a),flip(a)]. given #12687 (H,wt=21): 14040 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3636,a,14038,a)]. given #12688 (H,wt=17): 14042 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(7805,a,14040,a)]. given #12689 (H,wt=22): 14044 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(2824(a,2),14042(a,1,1,2))]. given #12690 (H,wt=21): 14045 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(62,a,7802,a(flip),b,14044,a)]. given #12691 (H,wt=21): 14047 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(62,a,7984,a(flip),b,14045,a)]. given #12692 (H,wt=23): 14049 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(62,a,12754,a(flip),b,14047,a),flip(a)]. given #12693 (H,wt=21): 14050 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(7663,a,14049,a),flip(a)]. given #12694 (H,wt=19): 14052 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(273,a,8400,a(flip),b,14050,a),flip(a)]. given #12695 (H,wt=20): 14053 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(62,a,12718,a,b,14052,a)]. given #12696 (H,wt=22): 14055 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(14053(a,1),7068(a,1,1,1))]. given #12697 (H,wt=19): 14056 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(62,a,8405,a(flip),b,14055,a),flip(a)]. given #12698 (H,wt=23): 14058 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(12(a,1),14056(a,1,3,2)),flip(a)]. given #12699 (H,wt=26): 13993 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(13990(a,2),12812(a,1,2,1)),flip(a)]. given #12700 (H,wt=26): 14028 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(14027(a,1),10434(a,1,1,2))]. given #12701 (H,wt=22): 14060 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(9(a,1),14028(a,1,1))]. given #12702 (H,wt=10): 14061 L(x,K(y \ x,z),x) = x. [hyper(8729,a,14060,a),flip(a)]. given #12703 (H,wt=8): 14064 L(x,K(y,z),x) = x. [para(77(a,1),14061(a,1,2,1))]. given #12704 (H,wt=8): 14067 R(x,K(y,z),x) = x. [hyper(62,a,4704,a(flip),b,14064,a),flip(a)]. given #12705 (H,wt=13): 14066 T(K(x,y) * z,z) = z * K(x,y). [hyper(62,a,10624,a(flip),b,14064,a)]. given #12706 (H,wt=15): 14072 (K(x,y) * z) * z = z * (z * K(x,y)). [para(14066(a,1),108(a,1,2)),flip(a)]. given #12707 (H,wt=19): 14070 (x \ y) / T(x \ y,K(y,z)) = K(x,x * K(y,z)). [para(14067(a,1),8889(a,1,1,1))]. given #12708 (H,wt=15): 14074 K(K(x,y),z \ x) = K(z,z * K(x,y)). [hyper(5202,a,14070,a)]. given #12709 (H,wt=15): 14075 K(x,K(y,z \ x)) = K(z,z * K(x,y)). [hyper(9426,a,14074,a)]. given #12710 (H,wt=13): 14076 K(x,x * K(y,z)) = K(x,K(y,z)). [hyper(62,a,8803,a(flip),b,14075,a),flip(a)]. given #12711 (H,wt=21): 14073 (x * (K(y,z) * x)) * K(y,K(z,x)) = (K(y,z) * x) * x. [hyper(273,a,10978,a,b,14072,a)]. given #12712 (H,wt=13): 14077 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(264,a,14073,a)]. given #12713 (H,wt=13): 14078 K(K(x,y) * z,z) = K(z,K(y,x)). [hyper(273,a,8411,a,b,14077,a),flip(a)]. given #12714 (H,wt=13): 14079 K(x * K(y,z),x) = K(x,K(z,y)). [hyper(5627,a,14078,a)]. given #12715 (H,wt=15): 14081 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(273,a,14076,a,b,14079,a),flip(a)]. given #12716 (H,wt=16): 14080 K(x,K(y,z)) != u | K(x * K(z,y),x) = u. [para(14078(a,1),5627(a,1))]. given #12717 (H,wt=24): 14082 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(14081(a,1),5979(a,1,1,1,2))]. given #12718 (H,wt=22): 14083 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(5163(a,2),14082(a,1,1,1))]. given #12719 (H,wt=18): 14084 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(8204,a,14083,a)]. given #12720 (H,wt=21): 14085 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(14084(a,1),10714(a,1,1))]. given #12721 (H,wt=28): 14002 L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). [para(457(a,1),14001(a,2,2))]. given #12722 (H,wt=20): 14087 L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). [para(10(a,1),14002(a,1,2))]. given #12723 (H,wt=28): 14019 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(5134(a,1),14017(a,1,1,2))]. given #12724 (H,wt=24): 14089 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(8247(a,1),14019(a,1,1))]. given #12725 (H,wt=18): 14090 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(5134(a,1),14089(a,2,2))]. given #12726 (H,wt=14): 14092 R(K(x * y,y),x,z) = K(x * y,y). [hyper(273,a,8247,a(flip),b,14090,a),flip(a)]. given #12727 (H,wt=14): 14094 R(K(x * y,x),y,z) = K(y * x,x). [para(5626(a,1),14092(a,1,1))]. given #12728 (H,wt=29): 13917 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(11169(a,2),13912(a,1,2))]. given #12729 (H,wt=22): 14096 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(14(a,2),13917(a,2,2))]. given #12730 (H,wt=17): 14097 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(62,a,14008,a(flip),b,14096,a)]. given #12731 (H,wt=27): 14099 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(14097(a,1),13704(a,1,2))]. given #12732 (H,wt=27): 14100 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(6056,a,14099,a)]. given #12733 (H,wt=27): 14101 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13700(a,2),14100(a,1,1))]. given #12734 (H,wt=25): 14102 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(12866,a,14101,a)]. given #12735 (H,wt=29): 13981 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(11169(a,2),13977(a,1,2))]. given #12736 (H,wt=22): 14103 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(14(a,2),13981(a,2,2))]. given #12737 (H,wt=17): 14104 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [hyper(62,a,13599,a(flip),b,14103,a)]. given #12738 (H,wt=30): 14106 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5315(a,1),14104(a,1,2,2))]. given #12739 (H,wt=21): 14107 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(11297(a,1),14106(a,1,2)),flip(a)]. given #12740 (H,wt=19): 14108 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [hyper(273,a,14104,a(flip),b,14107,a),flip(a)]. given #12741 (H,wt=17): 14109 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(6292(a,1),14108(a,1,2))]. given #12742 (H,wt=31): 14041 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(14039(a,1),6209(a,1,1,1,1,2))]. given #12743 (H,wt=21): 14110 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [hyper(62,a,6209,a(flip),b,14041,a),flip(a)]. given #12744 (H,wt=30): 14111 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [hyper(62,a,8637,a(flip),b,14110,a),flip(a)]. given #12745 (H,wt=28): 14112 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [hyper(62,a,11143,a(flip),b,14111,a),flip(a)]. given #12746 (H,wt=20): 14114 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [hyper(273,a,622,a(flip),b,14112,a),flip(a)]. given #12747 (H,wt=16): 14116 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(3654(a,1),14114(a,1,1))]. given #12748 (H,wt=19): 14117 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(14116(a,1),12210(a,1,2))]. given #12749 (H,wt=19): 14118 (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. [hyper(62,a,14015,a(flip),b,14117,a)]. given #12750 (H,wt=17): 14120 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(7476(a,1),14118(a,1,2))]. given #12751 (H,wt=17): 14121 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(62,a,6354,a,b,14120,a)]. given #12752 (H,wt=10): 14123 L(x,y \ 1,K(z,y)) = x. [hyper(5623,a,14121,a)]. given #12753 (H,wt=10): 14124 L(x,y,K(z,y \ 1)) = x. [hyper(62,a,7231,a(flip),b,14123,a)]. given #12754 (H,wt=13): 14125 L(x,y,K(z,y \ 1)) != u | x = u. [para(14124(a,1),49(a,2))]. given #12755 (H,wt=18): 14122 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(14120(a,1),6338(a,1,2))]. given #12756 (H,wt=15): 14127 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(62,a,4535,a(flip),b,14122,a)]. given #12757 (H,wt=21): 14129 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(62,a,11194,a(flip),b,14127,a)]. given #12758 (H,wt=22): 14131 ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. [hyper(115,a,14129,a(flip),b,226,a)]. given #12759 (H,wt=24): 14132 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(14129(a,1),10401(a,1,2,1))]. given #12760 (H,wt=23): 14133 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(62,a,6578,a(flip),b,14132,a),flip(a)]. given #12761 (H,wt=21): 14135 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(62,a,11689,a(flip),b,14133,a)]. given #12762 (H,wt=19): 14136 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(62,a,10860,a(flip),b,14135,a),flip(a)]. given #12763 (H,wt=20): 14137 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(62,a,7173,a(flip),b,14136,a),flip(a)]. given #12764 (H,wt=17): 14138 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(10580,a,14137,a),flip(a)]. given #12765 (H,wt=17): 14139 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(62,a,11879,a(flip),b,14138,a),flip(a)]. given #12766 (H,wt=17): 14140 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(62,a,11879,a(flip),b,14139,a),flip(a)]. given #12767 (H,wt=21): 14141 K(x,L(y,z,(x \ (z \ x)) * x)) = K(x,L(y,z,z \ 1)). [hyper(273,a,10635,a,b,14140,a)]. given #12768 (H,wt=21): 14142 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [hyper(62,a,13453,a(flip),b,14141,a),flip(a)]. given #12769 (H,wt=28): 14143 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(62,a,12535,a(flip),b,14142,a),flip(a)]. given #12770 (H,wt=17): 14144 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(62,a,12463,a(flip),b,14143,a),flip(a)]. given #12771 (H,wt=15): 14146 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [hyper(62,a,6367,a(flip),b,14144,a)]. given #12772 (H,wt=15): 14148 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(115,a,14144,a(flip),b,6367,a(flip))]. given #12773 (H,wt=15): 14149 1 / ((T(x,y) / z) \ x) = K(x,y) / z. [hyper(316,a,14146,a),flip(a)]. given #12774 (H,wt=15): 14151 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(77(a,1),14148(a,1,1,2))]. given #12775 (H,wt=17): 14147 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(62,a,5690,a(flip),b,14144,a)]. given #12776 (H,wt=15): 14153 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(14147(a,1),7018(a,2,1))]. given #12777 (H,wt=15): 14154 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(273,a,5114,a(flip),b,14153,a),flip(a)]. given #12778 (H,wt=19): 14152 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(14151(a,2),8387(a,2,1))]. given #12779 (H,wt=19): 14157 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(11(a,1),14152(a,1,2,1,1)),flip(a)]. given #12780 (H,wt=19): 14158 K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). [hyper(62,a,12486,a,b,14157,a)]. given #12781 (H,wt=19): 14159 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(14158(a,1),11977(a,1,2)),flip(a)]. given #12782 (H,wt=19): 14160 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(12(a,1),14159(a,1,2,2)),flip(a)]. given #12783 (H,wt=31): 14059 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(14058(a,1),12816(a,2,2))]. given #12784 (H,wt=29): 14161 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(273,a,1030,a(flip),b,14059,a),flip(a)]. given #12785 (H,wt=27): 14162 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(273,a,1311,a(flip),b,14161,a),flip(a)]. given #12786 (H,wt=27): 14163 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(7991(a,1),14162(a,2,1,2))]. given #12787 (H,wt=23): 14164 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(273,a,12820,a(flip),b,14163,a),flip(a)]. given #12788 (H,wt=23): 14165 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(12262(a,1),14164(a,1,1))]. given #12789 (H,wt=21): 14166 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(62,a,11588,a(flip),b,14165,a)]. given #12790 (H,wt=31): 14088 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). [para(203(a,1),14087(a,2,2))]. given #12791 (H,wt=24): 14167 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). [para(11081(a,2),14088(a,1,1,2,1))]. given #12792 (H,wt=22): 14168 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). [hyper(273,a,14109,a(flip),b,14167,a),flip(a)]. given #12793 (H,wt=33): 14156 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(7262(a,1),14154(a,2,2))]. given #12794 (H,wt=34): 13852 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(13849(a,1),12179(a,1,1))]. given #12795 (H,wt=32): 14170 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5837(a,1),13852(a,1,2))]. given #12796 (H,wt=28): 14171 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8895(a,1),14170(a,1,2))]. given #12797 (H,wt=24): 14172 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(273,a,14166,a(flip),b,14171,a),flip(a)]. given #12798 (H,wt=21): 14173 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(62,a,12313,a(flip),b,14172,a)]. given #12799 (H,wt=36): 13998 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(12268(a,1),13997(a,1,2,2)),flip(a)]. given #12800 (H,wt=37): 14086 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(12531(a,1),14085(a,1,1,2,2))]. given #12801 (H,wt=35): 14174 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(12533(a,1),14086(a,1,2,1,1))]. given #12802 (H,wt=21): 14175 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(62,a,14085,a(flip),b,14174,a),flip(a)]. given #12803 (H,wt=37): 14169 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6736(a,1),14156(a,1,1))]. given #12804 (H,wt=23): 14176 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(13016(a,1),14169(a,1,2))]. given #12805 (H,wt=19): 14177 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(62,a,6241,a(flip),b,14176,a)]. given #12806 (H,wt=19): 14178 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(273,a,7258,a(flip),b,14177,a),flip(a)]. given #12807 (H,wt=19): 14179 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [hyper(171,a,14178,a)]. given #12808 (H,wt=19): 14180 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(62,a,12611,a(flip),b,14178,a),flip(a)]. given #12809 (H,wt=25): 14181 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(14179(a,1),4952(a,1,2,1))]. given #12810 (H,wt=25): 14182 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(273,a,7258,a(flip),b,14181,a),flip(a)]. given #12811 (H,wt=25): 14183 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(14180(a,1),14182(a,1,1))]. given #12812 (H,wt=25): 14184 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(62,a,12612,a,b,14183,a)]. given #12813 (H,wt=23): 14185 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6486(a,1),14184(a,1,1))]. given #12814 (H,wt=21): 14186 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(62,a,6776,a(flip),b,14185,a),flip(a)]. given #12815 (H,wt=19): 14187 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(62,a,13895,a(flip),b,14186,a)]. given #12816 (H,wt=19): 14188 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [hyper(171,a,14187,a)]. given #12817 (H,wt=19): 14189 T(((x * y) \ x) \ 1,z) = ((x * T(y,z)) \ x) \ 1. [para(14188(a,1),2943(a,1,1)),flip(a)]. given #12818 (H,wt=27): 14190 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(14189(a,2),7144(a,1,2,1))]. given #12819 (H,wt=38): 13887 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(13882(a,1),2507(a,1,1))]. given #12820 (H,wt=36): 14191 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(13882(a,1),13887(a,1,2,1,1)),flip(a)]. given #12821 (H,wt=33): 14192 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(273,a,2507,a(flip),b,14191,a),flip(a)]. given #12822 (H,wt=27): 14194 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1015(a,1),14192(a,2,1))]. given #12823 (H,wt=21): 14195 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1015(a,1),14194(a,1,1))]. given #12824 (H,wt=34): 14196 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(14195(a,1),12446(a,1,2,2))]. given #12825 (H,wt=38): 14095 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [hyper(62,a,1403,a,b,14094,a)]. given #12826 (H,wt=38): 14197 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(7547(a,1),14095(a,1,1,1))]. given #12827 (H,wt=33): 14198 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(9689(a,1),14197(a,1,1,1))]. given #12828 (H,wt=28): 14199 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(104(a,1),14198(a,1,1))]. given #12829 (H,wt=28): 14200 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(13554(a,1),14199(a,1,1,1))]. given #12830 (H,wt=24): 14201 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(12525(a,1),14200(a,1,1,1)),flip(a)]. given #12831 (H,wt=19): 14202 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [hyper(273,a,20,a,b,14201,a),flip(a)]. given #12832 (H,wt=19): 14203 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [hyper(5627,a,14202,a)]. given #12833 (H,wt=19): 14204 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(5626(a,1),14203(a,2,1))]. given #12834 (H,wt=22): 14205 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(102(a,1),14204(a,1,1,2))]. given #12835 (H,wt=31): 14206 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(2823(a,1),14205(a,1,1,2,2,1))]. given #12836 (H,wt=26): 14207 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [hyper(62,a,13740,a(flip),b,14206,a),flip(a)]. given #12837 (H,wt=22): 14208 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [hyper(273,a,5781,a(flip),b,14207,a),flip(a)]. given #12838 (H,wt=17): 14209 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(13753(a,1),14208(a,1,1))]. given #12839 (H,wt=23): 14210 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(14209(a,1),10408(a,1,2,2))]. given #12840 (H,wt=21): 14213 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [hyper(62,a,8543,a(flip),b,14210,a),flip(a)]. given #12841 (H,wt=25): 14214 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(14213(a,1),8966(a,1,1,2))]. given #12842 (H,wt=21): 14215 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [hyper(8280,a,14214,a),flip(a)]. given #12843 (H,wt=21): 14216 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(7501(a,1),14215(a,1,1))]. given #12844 (H,wt=35): 14217 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [hyper(273,a,10253,a,b,14216,a)]. given #12845 (H,wt=28): 14218 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(13182(a,1),14217(a,2,1))]. given #12846 (H,wt=19): 14219 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(3149(a,1),14218(a,1,1))]. given #12847 (H,wt=19): 14222 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(5551(a,1),14219(a,1,2))]. given #12848 (H,wt=17): 14223 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(117,a,14222,a),flip(a)]. given #12849 (H,wt=17): 14225 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5552(a,1),14223(a,1,1)),flip(a)]. given #12850 (H,wt=27): 14227 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11178(a,1),14223(a,1,1))]. given #12851 (H,wt=23): 14228 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(14225(a,1),14227(a,1,1)),flip(a)]. given #12852 (H,wt=21): 14229 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(62,a,13746,a(flip),b,14228,a),flip(a)]. given #12853 (H,wt=13): 14230 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4562(a,1),14229(a,1,1))]. given #12854 (H,wt=13): 14236 R(K(x,y),y,z) != u | K(x,y) = u. [para(14230(a,2),11017(a,1))]. given #12855 (H,wt=20): 14233 K(x,R(K(y,z),u,w)) != v5 | K(x,K(z,R(y,u,w))) = v5. [para(14230(a,2),9423(a,1,2))]. given #12856 (H,wt=20): 14234 R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. [para(14230(a,2),9428(a,1))]. given #12857 (H,wt=22): 14237 K(x / (y * z),x / z) != u | K(y \ (z \ x),x / z) = u. [para(7973(a,1),14236(a,1))]. given #12858 (H,wt=23): 14235 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(14230(a,1),8971(a,1,1,1,2))]. given #12859 (H,wt=23): 14238 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12960,a,14235,a)]. given #12860 (H,wt=15): 14239 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(66(a,1),14238(a,1,2))]. given #12861 (H,wt=13): 14240 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(125,a,14239,a),flip(a)]. given #12862 (H,wt=12): 14245 R(K(x,y),K(z,y),u) = K(x,y). [para(4573(a,1),14240(a,2,2))]. given #12863 (H,wt=13): 14244 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(62,a,14230,a(flip),b,14240,a)]. given #12864 (H,wt=16): 14242 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(14239(a,1),125(a,1))]. given #12865 (H,wt=13): 14252 K(x,y) != z | K(x,R(y,x,u)) = z. [para(4160(a,1),14242(a,1))]. given #12866 (H,wt=16): 14254 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(14230(a,1),14242(a,1))]. given #12867 (H,wt=16): 14256 K(R(x,y,z),y) != u | K(x,R(y,x,w)) = u. [para(11016(a,2),14252(a,1))]. given #12868 (H,wt=18): 14255 L(K(x,y),z,y * x) != u | K(x,R(y,x,w)) = u. [para(10982(a,2),14252(a,1))]. given #12869 (H,wt=19): 14250 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(14245(a,1),8167(a,1,2,1)),flip(a)]. given #12870 (H,wt=20): 14253 R(K(x,K(y,z)),u,w) != v5 | K(y,R(K(x,z),u,w)) = v5. [para(8440(a,1),14242(a,1,1))]. given #12871 (H,wt=21): 14243 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(273,a,13681,a(flip),b,14240,a),flip(a)]. given #12872 (H,wt=22): 14251 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6934,a,14244,a),flip(a)]. given #12873 (H,wt=22): 14259 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(14243(a,1),6299(a,1,2,1))]. given #12874 (H,wt=18): 14261 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5426,a,14259,a),flip(a)]. given #12875 (H,wt=18): 14263 x * ((K(y,z) * x) \ 1) = K(z,L(y,x,x \ 1)). [hyper(273,a,12430,a(flip),b,14261,a),flip(a)]. given #12876 (H,wt=18): 14264 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(115,a,12430,a(flip),b,14261,a)]. given #12877 (H,wt=19): 14265 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(14264(a,1),8978(a,1,2,1))]. given #12878 (H,wt=19): 14266 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(8588(a,1),14265(a,1,2,1,1))]. given #12879 (H,wt=19): 14267 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(62,a,5964,a(flip),b,14266,a)]. given #12880 (H,wt=21): 14268 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1666(a,1),14267(a,1,2,1,1))]. given #12881 (H,wt=19): 14269 K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(62,a,10563,a(flip),b,14268,a),flip(a)]. given #12882 (H,wt=19): 14270 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [hyper(131,a,14269,a(flip)),flip(a)]. given #12883 (H,wt=15): 14272 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [hyper(273,a,14160,a(flip),b,14270,a),flip(a)]. given #12884 (H,wt=15): 14273 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(74(a,1),14272(a,1,1)),flip(a)]. given #12885 (H,wt=15): 14275 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [para(14272(a,1),14149(a,1,2))]. given #12886 (H,wt=15): 14277 (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). [hyper(171,a,14275,a)]. given #12887 (H,wt=16): 14279 K(1 / x,y) / x != z | T(1 / x,y) = z. [para(14275(a,1),5288(a,1))]. given #12888 (H,wt=18): 14280 (1 / x) \ K(y,z) != u \ 1 | K(z,y) / x = u. [para(14277(a,1),47(a,1))]. given #12889 (H,wt=22): 14260 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(14254,a,14251,a)]. given #12890 (H,wt=22): 14271 x * K(y,((z / x) \ 1) \ x) != u | (T(z,y) / x) \ z = u. [para(14269(a,2),225(a,1,2))]. given #12891 (H,wt=24): 14248 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(14240(a,1),13243(a,2,1,2))]. given #12892 (H,wt=22): 14281 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(5163(a,2),14248(a,2,1))]. given #12893 (H,wt=25): 14249 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(14240(a,1),13248(a,1,2,2))]. given #12894 (H,wt=19): 14282 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(7783,a,14249,a)]. given #12895 (H,wt=19): 14283 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(62,a,8023,a,b,14282,a)]. given #12896 (H,wt=19): 14284 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(3204(a,1),14283(a,1,1))]. given #12897 (H,wt=15): 14285 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(13236,a,14284,a)]. given #12898 (H,wt=19): 14286 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(14285(a,2),13267(a,2,1)),flip(a)]. given #12899 (H,wt=19): 14287 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(62,a,13269,a,b,14286,a)]. given #12900 (H,wt=19): 14288 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(62,a,13702,a(flip),b,14287,a)]. given #12901 (H,wt=21): 14289 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(62,a,11477,a,b,14288,a)]. given #12902 (H,wt=21): 14290 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8443(a,2),14289(a,2,1))]. given #12903 (H,wt=19): 14291 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(11508,a,14290,a)]. given #12904 (H,wt=26): 14292 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(62,a,10378,a(flip),b,14291,a)]. given #12905 (H,wt=26): 14293 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8458(a,1),14292(a,2,1))]. given #12906 (H,wt=23): 14294 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(10994(a,1),14293(a,2,1,2))]. given #12907 (H,wt=22): 14295 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10435,a,14294,a)]. given #12908 (H,wt=23): 14298 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(62,a,11243,a(flip),b,14295,a)]. given #12909 (H,wt=29): 14224 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(495(a,1),14223(a,2,2,1))]. given #12910 (H,wt=29): 14300 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5727(a,1),14224(a,1,1))]. given #12911 (H,wt=24): 14301 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(13722(a,1),14300(a,1,1))]. given #12912 (H,wt=24): 14302 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(273,a,13733,a(flip),b,14301,a),flip(a)]. given #12913 (H,wt=19): 14304 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(20(a,2),14302(a,2,2,2))]. given #12914 (H,wt=19): 14305 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(14242,a,14304,a)]. given #12915 (H,wt=34): 14257 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(14250(a,1),7686(a,1,2,2))]. given #12916 (H,wt=28): 14306 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5198(a,1),14257(a,1,2)),flip(a)]. given #12917 (H,wt=24): 14307 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(273,a,5508,a(flip),b,14306,a),flip(a)]. given #12918 (H,wt=16): 14309 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(273,a,5387,a(flip),b,14307,a),flip(a)]. given #12919 (H,wt=14): 14311 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(7675(a,1),14309(a,1,2))]. given #12920 (H,wt=17): 14312 L(x,K(y,z) * K(u,z),T(z,u)) != w | w = x. [para(14311(a,1),49(a,1)),flip(a)]. given #12921 (H,wt=37): 14276 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(14273(a,2),7579(a,2,2)),flip(a)]. given #12922 (H,wt=37): 14313 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(273,a,7579,a(flip),b,14276,a),flip(a)]. given #12923 (H,wt=37): 14314 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(25(a,2),14313(a,1,2,1,2,2))]. given #12924 (H,wt=37): 14315 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(25(a,2),14314(a,1,2,1,2,2,1))]. given #12925 (H,wt=29): 14316 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(62,a,10754,a(flip),b,14315,a)]. given #12926 (H,wt=25): 14318 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(77(a,1),14316(a,1,2))]. given #12927 (H,wt=32): 14319 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(62,a,12581,a,b,14318,a)]. given #12928 (H,wt=20): 14322 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(62,a,12250,a(flip),b,14319,a),flip(a)]. given #12929 (H,wt=29): 14324 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(14322(a,1),10832(a,1,1))]. given #12930 (H,wt=29): 14325 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11513(a,1),14324(a,1,1))]. given #12931 (H,wt=27): 14327 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(64(a,1),14325(a,1,1,2))]. given #12932 (H,wt=25): 14328 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5487(a,1),14327(a,1,2))]. given #12933 (H,wt=25): 14329 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(13040,a,14328,a)]. given #12934 (H,wt=25): 14330 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(2226(a,1),14329(a,1,2))]. given #12935 (H,wt=22): 14331 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(10596(a,1),14330(a,1,2))]. given #12936 (H,wt=22): 14332 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(122,a,14331,a)]. given #12937 (H,wt=24): 14333 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(14332(a,1),13555(a,1,1)),flip(a)]. given #12938 (H,wt=25): 14334 (a(x,y,L(x,z,u)) \ 1) \ 1 != w | a(L(x,z,u),y,L(x,z,u)) = w. [para(14333(a,1),117(a,1))]. given #12939 (H,wt=46): 13986 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13982(a,1),12072(a,1,1))]. given #12940 (H,wt=46): 14335 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12137(a,1),13986(a,1,1))]. given #12941 (H,wt=42): 14337 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(14173(a,1),14335(a,1,1))]. given #12942 (H,wt=38): 14338 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(9(a,1),14337(a,1,1,1))]. given #12943 (H,wt=34): 14339 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(9(a,1),14338(a,1,1,3)),flip(a)]. given #12944 (H,wt=32): 14340 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6571(a,1),14339(a,2,2))]. given #12945 (H,wt=28): 14341 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(9(a,1),14340(a,2,2,2))]. given #12946 (H,wt=26): 14342 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5372(a,1),14341(a,2,2))]. given #12947 (H,wt=23): 14343 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(273,a,12058,a(flip),b,14342,a),flip(a)]. given #12948 (H,wt=21): 14344 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6627,a,14343,a)]. given #12949 (H,wt=17): 14345 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(9(a,1),14344(a,1,2))]. given #12950 (H,wt=17): 14346 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(62,a,5671,a(flip),b,14345,a)]. given #12951 (H,wt=15): 14347 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(9764,a,14346,a)]. given #12952 (H,wt=15): 14349 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(10(a,1),14347(a,2,1))]. given #12953 (H,wt=17): 14350 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(62,a,11765,a(flip),b,14349,a),flip(a)]. given #12954 (H,wt=17): 14352 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(62,a,5674,a(flip),b,14350,a)]. given #12955 (H,wt=15): 14353 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(62,a,7003,a(flip),b,14352,a)]. given #12956 (H,wt=15): 14355 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(62,a,7930,a,b,14353,a)]. given #12957 (H,wt=19): 14356 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(10(a,1),14353(a,1,1,2,1)),flip(a)]. given #12958 (H,wt=19): 14359 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(273,a,13837,a,b,14356,a),flip(a)]. given #12959 (H,wt=21): 14360 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(14359(a,1),260(a,1,2))]. given #12960 (H,wt=23): 14362 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(62,a,13848,a,b,14360,a)]. given #12961 (H,wt=24): 14361 x * K(x * (y / z),y \ z) != u | ((y \ z) \ x) * (y \ z) = u. [para(14359(a,1),400(a,1,2))]. given #12962 (H,wt=35): 14358 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(14355(a,1),13439(a,1,1,1,2))]. given #12963 (H,wt=33): 14363 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(260(a,1),14358(a,1,1,1))]. given #12964 (H,wt=33): 14365 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(7705(a,1),14363(a,1,1))]. given #12965 (H,wt=31): 14366 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(107(a,1),14365(a,1,2,2,2))]. given #12966 (H,wt=31): 14367 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9640(a,1),14366(a,1,2))]. given #12967 (H,wt=29): 14368 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3688(a,1),14367(a,1,2))]. given #12968 (H,wt=21): 14369 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(62,a,11279,a(flip),b,14368,a)]. given #12969 (H,wt=19): 14370 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(62,a,11551,a(flip),b,14369,a)]. given #12970 (H,wt=15): 14371 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(181(a,1),14370(a,1,2)),flip(a)]. given #12971 (H,wt=16): 14372 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(62,a,13855,a,b,14371,a)]. given #12972 (H,wt=15): 14375 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(62,a,8105,a(flip),b,14372,a)]. given #12973 (H,wt=19): 14377 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(62,a,10821,a(flip),b,14375,a),flip(a)]. given #12974 (H,wt=21): 14378 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(14377(a,1),5408(a,1,2))]. given #12975 (H,wt=23): 14380 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(62,a,13847,a,b,14378,a)]. given #12976 (H,wt=24): 14379 x * K(y \ z,x * (y / z)) != u | (y \ z) * (x / (y \ z)) = u. [para(14377(a,1),5598(a,1,2))]. given #12977 (H,wt=52): 13942 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(13941(a,1),11103(a,1,1,2))]. given #12978 (H,wt=52): 14381 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11879(a,1),13942(a,1,2,2))]. given #12979 (H,wt=44): 14382 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(62,a,13686,a(flip),b,14381,a)]. given #12980 (H,wt=40): 14383 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(8015(a,1),14382(a,1,2,2)),flip(a)]. given #12981 (H,wt=40): 14385 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(8458(a,1),14383(a,2,2))]. given #12982 (H,wt=37): 14386 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(13484(a,1),14385(a,2,2))]. given #12983 (H,wt=37): 14387 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(8440(a,1),14386(a,2,2))]. given #12984 (H,wt=37): 14388 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11879(a,1),14387(a,1,1,2))]. given #12985 (H,wt=37): 14389 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(62,a,8068,a,b,14388,a)]. given #12986 (H,wt=30): 14390 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(13941(a,1),14389(a,1,1)),flip(a)]. given #12987 (H,wt=57): 13020 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(13018(a,1),7045(a,1,2,2,1)),flip(a)]. given #12988 (H,wt=55): 14391 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2656(a,1),13020(a,2,1))]. given #12989 (H,wt=53): 14392 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(12290(a,1),14391(a,2,1))]. given #12990 (H,wt=51): 14393 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(7(a,1),14392(a,2,2,2))]. given #12991 (H,wt=47): 14394 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(11(a,1),14393(a,2,2))]. given #12992 (H,wt=40): 14395 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(273,a,5173,a,b,14394,a),flip(a)]. given #12993 (H,wt=28): 14397 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(13018(a,1),14395(a,1,1,1,2,1)),flip(a)]. given #12994 (H,wt=26): 14398 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(7(a,1),14397(a,2,1,1,2))]. given #12995 (H,wt=22): 14400 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(11(a,1),14398(a,2,1,1))]. given #12996 (H,wt=29): 14401 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(14400(a,1),13019(a,1,2))]. given #12997 (H,wt=25): 14402 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2315,a,14401,a)]. given #12998 (H,wt=13): 14403 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(12603,a,14402,a),flip(a)]. given #12999 (H,wt=15): 14405 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(14403(a,2),8(a,1,2))]. given #13000 (H,wt=13): 14406 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(5375,a,14405,a)]. given #13001 (H,wt=13): 14407 1 / a(x,y,z) = a(x,y,z) \ 1. [para(14406(a,1),7277(a,1,2)),flip(a)]. given #13002 (H,wt=13): 14408 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [hyper(171,a,14407,a)]. given #13003 (H,wt=18): 14410 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(14334,a,14408,a)]. given #13004 (H,wt=23): 14411 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [para(14410(a,1),12040(a,1,2))]. given #13005 (H,wt=20): 14412 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(273,a,11794,a(flip),b,14411,a),flip(a)]. given #13006 (H,wt=17): 14413 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(12031(a,1),14412(a,1,2))]. given #13007 (H,wt=30): 14414 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(14413(a,1),443(a,1,2,2))]. given #13008 (H,wt=27): 14416 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(94(a,1),14414(a,1,2))]. given #13009 (H,wt=22): 14417 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(12082,a,14416,a),flip(a)]. given #13010 (H,wt=14): 14418 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(13775,a,14417,a),flip(a)]. given #13011 (H,wt=12): 14420 L(a(x,y,x),z,u) = a(x,y,x). [para(12(a,1),14418(a,1,2))]. given #13012 (H,wt=12): 14428 a(x,L(y,z,u),x) = a(x,y,x). [hyper(62,a,14001,a(flip),b,14420,a)]. given #13013 (H,wt=14): 14435 R(x,L(y,z,u),x) = x * a(x,y,x). [para(14428(a,1),12040(a,1,2)),flip(a)]. given #13014 (H,wt=12): 14436 R(x,L(y,z,u),x) = R(x,y,x). [hyper(273,a,12040,a(flip),b,14435,a),flip(a)]. given #13015 (H,wt=15): 14434 a(x,(y \ z) \ 1,x) = a(x,z \ y,x). [para(352(a,1),14428(a,1,2)),flip(a)]. given #13016 (H,wt=17): 14427 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [hyper(62,a,14168,a(flip),b,14420,a),flip(a)]. given #13017 (H,wt=17): 14430 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(14420(a,1),94(a,1,2))]. given #13018 (H,wt=9): 14441 R(x,y,a(z,u,z)) = x. [hyper(7295,a,14430,a)]. given #13019 (H,wt=11): 14447 R(x,y,T(a(z,u,z),w)) = x. [para(12782(a,2),14441(a,1,3))]. given #13020 (H,wt=17): 14433 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(256(a,1),14428(a,1,2))]. given #13021 (H,wt=19): 14440 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(14427(a,1),12051(a,1,1)),flip(a)]. given #13022 (H,wt=17): 14449 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(273,a,12051,a(flip),b,14440,a),flip(a)]. given #13023 (H,wt=21): 14448 (x / T(a(y,z,y),u)) / w = x / (w * T(a(y,z,y),u)). [hyper(62,a,259,a(flip),b,14447,a),flip(a)]. given #13024 (H,wt=19): 14451 x / (y * T(a(z,u,z),w)) = (a(z,u,z) \ x) / y. [para(12813(a,1),14448(a,1,1)),flip(a)]. given #13025 (H,wt=19): 14452 x / (y * T(a(z,u,z),w)) = a(z,u,z) \ (x / y). [hyper(273,a,13547,a(flip),b,14451,a),flip(a)]. given #13026 (H,wt=17): 14453 x / (y * a(z,u,z)) = a(z,u,z) \ (x / y). [para(107(a,1),14452(a,1,2,2))]. given #13027 (H,wt=15): 14454 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(12040(a,1),14453(a,1,2)),flip(a)]. given #13028 (H,wt=32): 14437 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14436(a,1),13151(a,1,2,1))]. given #13029 (H,wt=29): 14455 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14436(a,1),14437(a,1,2,2,1))]. given #13030 (H,wt=29): 14457 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4300(a,2),14455(a,1,2))]. given #13031 (H,wt=28): 14459 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4288(a,1),14457(a,1,2,2))]. given #13032 (H,wt=26): 14460 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(13368(a,1),14459(a,1,2))]. given #13033 (H,wt=21): 14461 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(715(a,1),14460(a,1,2)),flip(a)]. given #13034 (H,wt=19): 14462 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(62,a,10334,a(flip),b,14461,a)]. given #13035 (H,wt=26): 14463 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(115,a,14462,a(flip),b,5163,a(flip))]. given #13036 (H,wt=21): 14464 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(10460,a,14463,a),flip(a)]. given #13037 (H,wt=17): 14465 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(273,a,12434,a(flip),b,14464,a),flip(a)]. given #13038 (H,wt=22): 14466 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(12(a,1),14465(a,1,1))]. given #13039 (H,wt=22): 14467 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(62,a,7174,a(flip),b,14466,a)]. given #13040 (H,wt=19): 14468 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11818(a,1),14467(a,2,3))]. given #13041 (H,wt=17): 14469 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(273,a,12510,a(flip),b,14468,a),flip(a)]. given #13042 (H,wt=17): 14471 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(62,a,11449,a(flip),b,14469,a)]. given #13043 (H,wt=24): 14474 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(12(a,1),14471(a,1,2))]. given #13044 (H,wt=24): 14475 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(8603,a,14474,a)]. given #13045 (H,wt=24): 14476 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(62,a,11461,a(flip),b,14475,a)]. given #13046 (H,wt=21): 14477 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11957(a,1),14476(a,2,3))]. given #13047 (H,wt=17): 14478 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(77(a,1),14477(a,2,3,1))]. given #13048 (H,wt=21): 14481 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(14478(a,1),5419(a,1,2,1)),flip(a)]. given #13049 (H,wt=17): 14482 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(273,a,10500,a(flip),b,14481,a),flip(a)]. given #13050 (H,wt=19): 14483 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(14482(a,1),5163(a,2,2))]. given #13051 (H,wt=21): 14484 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(14482(a,1),12521(a,1,3)),flip(a)]. given #13052 (H,wt=21): 14485 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(62,a,13696,a,b,14484,a)]. given #13053 (H,wt=23): 14487 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(62,a,12515,a,b,14485,a)]. given #13054 (H,wt=25): 14489 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(11237(a,2),14487(a,1,3))]. given #13055 (H,wt=27): 14472 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(14469(a,1),13695(a,1,3)),flip(a)]. given #13056 (H,wt=27): 14488 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(14485(a,1),10491(a,1,2))]. given #13057 (H,wt=17): 14490 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(12590(a,1),14488(a,1,2)),flip(a)]. given #13058 (H,wt=15): 14491 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(273,a,8,a(flip),b,14490,a),flip(a)]. given #13059 (H,wt=29): 14493 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(14491(a,1),11534(a,1,2,2)),flip(a)]. given #13060 (H,wt=15): 14494 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(273,a,11534,a(flip),b,14493,a),flip(a)]. given #13061 (H,wt=17): 14496 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(14494(a,1),5163(a,2,2))]. given #13062 (H,wt=15): 14498 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(273,a,5163,a,b,14496,a),flip(a)]. given #13063 (H,wt=32): 14486 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(14484(a,1),14196(a,1,1))]. given #13064 (H,wt=22): 14499 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(12591(a,1),14486(a,1,1))]. given #13065 (H,wt=20): 14500 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(117,a,14499,a)]. given #13066 (H,wt=17): 14502 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(62,a,6760,a(flip),b,14500,a)]. given #13067 (H,wt=19): 14504 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(14502(a,1),5163(a,2,2)),flip(a)]. given #13068 (H,wt=17): 14506 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5167,a,14504,a),flip(a)]. given #13069 (H,wt=22): 14505 K(x,K(y,z \ L(z,u,w))) != v5 | K(x,K(y,a(w,u,z))) = v5. [para(14502(a,1),9434(a,1,2))]. given #13070 (H,wt=27): 14507 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(14506(a,2),645(a,1,1))]. given #13071 (H,wt=25): 14509 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(273,a,14483,a(flip),b,14507,a),flip(a)]. given #13072 (H,wt=34): 14438 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(62,a,13998,a(flip),b,14434,a),flip(a)]. given #13073 (H,wt=34): 14510 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(62,a,14433,a(flip),b,14438,a)]. given #13074 (H,wt=29): 14511 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(18(a,2),14510(a,1,2,2))]. given #13075 (H,wt=29): 14512 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(5042(a,1),14511(a,1,2))]. given #13076 (H,wt=23): 14513 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(62,a,8129,a(flip),b,14512,a)]. given #13077 (H,wt=23): 14514 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(273,a,13977,a(flip),b,14513,a)]. given #13078 (H,wt=19): 14516 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(182(a,1),14514(a,1,2,2))]. given #13079 (H,wt=40): 14473 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(62,a,6731,a(flip),b,14471,a)]. given #13080 (H,wt=31): 14518 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5073(a,1),14473(a,1,1))]. given #13081 (H,wt=27): 14519 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(9(a,1),14518(a,1,2,2))]. given #13082 (H,wt=25): 14521 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(14449(a,1),14519(a,1,2))]. given #13083 (H,wt=25): 14522 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(6056,a,14521,a)]. given #13084 (H,wt=23): 14523 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(62,a,9927,a(flip),b,14522,a)]. given #13085 (H,wt=21): 14524 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(14498(a,1),14523(a,1,2,1))]. given #13086 (H,wt=15): 14525 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5457,a,14524,a)]. given #13087 (H,wt=57): 13777 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(5952(a,1),9652(a,1,1,1))]. given #13088 (H,wt=58): 14517 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(14516(a,1),12147(a,1,1,2))]. given #13089 (H,wt=56): 14526 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1678(a,1),14517(a,2,1))]. given #13090 (H,wt=38): 14527 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(273,a,14441,a(flip),b,14526,a),flip(a)]. given #13091 (H,wt=36): 14529 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(12032(a,1),14527(a,1,1))]. given #13092 (H,wt=25): 14530 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(62,a,12143,a(flip),b,14529,a)]. given #13093 (H,wt=17): 14531 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(62,a,14509,a(flip),b,14530,a),flip(a)]. given #13094 (H,wt=17): 14532 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(14531(a,2),12299(a,1,1))]. given #13095 (H,wt=17): 14534 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(424,a,14532,a)]. given #13096 (H,wt=21): 14533 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(14531(a,2),12550(a,1,1))]. given #13097 (H,wt=21): 14536 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(424,a,14533,a)]. given #13098 (H,wt=35): 14535 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4845(a,1),14534(a,1,1))]. given #13099 (H,wt=35): 14537 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(12266(a,1),14535(a,1,2,1))]. given #13100 (H,wt=25): 14538 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(62,a,14534,a(flip),b,14537,a),flip(a)]. given #13101 (H,wt=62): 7163 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(7135(a,1),6046(a,1,2,2,1,2))]. given #13102 (H,wt=52): 14539 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4760(a,1),7163(a,1,2,1)),flip(a)]. given #13103 (H,wt=52): 14540 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2954(a,1),14539(a,2,2,2))]. given #13104 (H,wt=65): 8030 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(62,a,6315,a,b,8029,a)]. given #13105 (H,wt=63): 14542 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5045(a,1),8030(a,1,2,1,2,2,2))]. given #13106 (H,wt=61): 14543 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4792(a,1),14542(a,1,2,1,2,2))]. given #13107 (H,wt=61): 14544 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8440(a,1),14543(a,1,2,1))]. given #13108 (H,wt=59): 14545 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(11547(a,1),14544(a,1,2,1,2))]. given #13109 (H,wt=54): 14546 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7608(a,1),14545(a,1,2,1,2))]. given #13110 (H,wt=52): 14548 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8765(a,1),14546(a,1,2,1))]. given #13111 (H,wt=50): 14549 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5045(a,1),14548(a,1,2,2,1,2,1,2,2))]. given #13112 (H,wt=48): 14550 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4792(a,1),14549(a,1,2,2,1,2,1,2))]. given #13113 (H,wt=48): 14551 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8412(a,1),14550(a,1,2,2,1,2))]. given #13114 (H,wt=46): 14552 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10533(a,1),14551(a,1,2,2,1,2,2))]. given #13115 (H,wt=41): 14553 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7581(a,1),14552(a,1,2,2,1,2,2))]. given #13116 (H,wt=39): 14555 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8752(a,1),14553(a,1,2,2,1,2))]. given #13117 (H,wt=39): 14556 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5346(a,2),14555(a,1,2,2,1))]. given #13118 (H,wt=39): 14557 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(13864(a,2),14556(a,1,2))]. given #13119 (H,wt=35): 14558 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(62,a,13865,a(flip),b,14557,a)]. given #13120 (H,wt=33): 14559 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6358(a,1),14558(a,1,2)),flip(a)]. given #13121 (H,wt=31): 14560 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(273,a,8483,a(flip),b,14559,a),flip(a)]. given #13122 (H,wt=25): 14561 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1015(a,1),14560(a,1,1)),flip(a)]. given #13123 (H,wt=29): 14562 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(62,a,13278,a,b,14561,a)]. given #13124 (H,wt=23): 14563 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1015(a,1),14562(a,1,1))]. given #13125 (H,wt=30): 14564 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(14563(a,1),13021(a,1,2))]. given #13126 (H,wt=23): 14565 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(13022,a,14564,a),flip(a)]. given #13127 (H,wt=23): 14566 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(273,a,8443,a,b,14565,a),flip(a)]. given #13128 (H,wt=23): 14568 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(62,a,12713,a(flip),b,14566,a)]. given #13129 (H,wt=23): 14569 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(273,a,8440,a,b,14568,a),flip(a)]. given #13130 (H,wt=23): 14571 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(62,a,12714,a,b,14569,a)]. given #13131 (H,wt=26): 14567 K(x \ L(x,y,z),K(u * x,w)) != v5 | K(u,K(w,x \ L(x,y,z))) = v5. [para(14565(a,2),9428(a,1))]. given #13132 (H,wt=26): 14570 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z,y \ L(y,u,w))) = v5. [para(14568(a,2),9429(a,1))]. given #13133 (H,wt=26): 14573 K(x,K(y * z,z \ L(z,u,w))) != v5 | K(x,K(y,z \ L(z,u,w))) = v5. [para(12714(a,2),14570(a,1))]. given #13134 (H,wt=31): 14572 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(62,a,13440,a,b,14571,a)]. given #13135 (H,wt=29): 14574 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(273,a,12308,a(flip),b,14572,a),flip(a)]. given #13136 (H,wt=23): 14575 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(9433,a,14574,a)]. given #13137 (H,wt=23): 14577 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(62,a,8435,a,b,14575,a)]. given #13138 (H,wt=26): 14576 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14574(a,1),9433(a,1))]. given #13139 (H,wt=39): 14578 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(62,a,13286,a,b,14577,a)]. given #13140 (H,wt=29): 14579 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(10539,a,14578,a)]. given #13141 (H,wt=23): 14580 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(62,a,14298,a(flip),b,14579,a)]. given #13142 (H,wt=21): 14581 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9333(a,1),14580(a,1,1)),flip(a)]. given #13143 (H,wt=12): 14582 K(x,K(y * z,a(y,z,u))) = 1. [hyper(273,a,12694,a(flip),b,14581,a),flip(a)]. given #13144 (H,wt=14): 14583 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14576,a,14582,a)]. given #13145 (H,wt=31): 14586 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(14583(a,1),8983(a,1,1)),flip(a)]. given #13146 (H,wt=29): 14587 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(273,a,7,a(flip),b,14586,a),flip(a)]. given #13147 (H,wt=25): 14588 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(14587(a,1),8984(a,1,1)),flip(a)]. given #13148 (H,wt=19): 14589 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7566,a,14588,a)]. given #13149 (H,wt=20): 14590 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(9451,a,14589,a)]. given #13150 (H,wt=23): 14591 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(62,a,11188,a,b,14590,a)]. given #13151 (H,wt=23): 14592 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13700(a,2),14591(a,1,1))]. given #13152 (H,wt=23): 14593 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,13659,a,b,14592,a)]. given #13153 (H,wt=15): 14594 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,13661,a(flip),b,14593,a)]. given #13154 (H,wt=23): 14596 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(14594(a,1),14102(a,1,2))]. given #13155 (H,wt=23): 14597 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(62,a,12868,a(flip),b,14596,a)]. given #13156 (H,wt=17): 14598 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5457,a,14597,a)]. given #13157 (H,wt=15): 14599 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(273,a,14594,a(flip),b,14598,a),flip(a)]. given #13158 (H,wt=13): 14601 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(62,a,14525,a(flip),b,14599,a)]. given #13159 (H,wt=15): 14600 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(273,a,14285,a(flip),b,14598,a),flip(a)]. given #13160 (H,wt=13): 14602 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(62,a,14525,a(flip),b,14600,a),flip(a)]. given #13161 (H,wt=25): 14603 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14602(a,1),13229(a,1,1,2))]. given #13162 (H,wt=13): 14604 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(12634,a,14603,a),flip(a)]. given #13163 (H,wt=13): 14605 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(62,a,14602,a(flip),b,14604,a),flip(a)]. given #13164 (H,wt=10): 14609 a(x \ 1,x,K(y,z)) = 1. [hyper(273,a,9594,a(flip),b,14605,a),flip(a)]. given #13165 (H,wt=12): 14616 L(K(x,y),z,z \ 1) = K(x,y). [hyper(51,a,14609,a)]. given #13166 (H,wt=12): 14620 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(62,a,11879,a(flip),b,14616,a)]. given #13167 (H,wt=12): 14621 L(K(x,y),z \ 1,z) = K(x,y). [hyper(62,a,3810,a(flip),b,14616,a)]. given #13168 (H,wt=13): 14608 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(273,a,14601,a(flip),b,14605,a),flip(a)]. given #13169 (H,wt=13): 14619 K(x,y * (z \ 1)) = K(x,y / z). [hyper(62,a,13688,a(flip),b,14616,a)]. given #13170 (H,wt=13): 14623 (1 / x) \ K(y,z) = x * K(y,z). [hyper(115,a,14616,a(flip),b,2711,a)]. given #13171 (H,wt=13): 14627 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(115,a,14620,a(flip),b,14263,a),flip(a)]. given #13172 (H,wt=13): 14628 K(x,(1 / y) * z) = K(x,y \ z). [para(2707(a,1),14620(a,1,2))]. given #13173 (H,wt=13): 14629 K(x,(y \ 1) \ z) = K(x,y * z). [para(2710(a,1),14620(a,1,2)),flip(a)]. given #13174 (H,wt=13): 14633 K((x \ 1) \ y,z) = K(x * y,z). [hyper(62,a,12432,a(flip),b,14621,a),flip(a)]. given #13175 (H,wt=13): 14643 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(62,a,14277,a,b,14623,a)]. given #13176 (H,wt=13): 14657 1 / (x * K(y,z)) = K(z,y) / x. [para(14623(a,1),14275(a,1,2))]. given #13177 (H,wt=13): 14659 K(x,y) * (1 / z) = K(x,y) / z. [hyper(38,a,14277,a,b,14627,a),flip(a)]. given #13178 (H,wt=15): 14640 T(x,y * (1 / z)) = x * K(x,y / z). [para(14619(a,1),5235(a,1,2)),flip(a)]. given #13179 (H,wt=13): 14691 T(x,y * (1 / z)) = T(x,y / z). [hyper(273,a,5163,a,b,14640,a),flip(a)]. given #13180 (H,wt=13): 14692 T(x,y / (1 / z)) = T(x,y * z). [hyper(62,a,4780,a(flip),b,14691,a),flip(a)]. given #13181 (H,wt=13): 14695 T(x,(y / (1 / z)) / z) = T(x,y). [para(12(a,1),14691(a,1,2)),flip(a)]. given #13182 (H,wt=15): 14685 K(x,y) / (z / T(y,x)) = 1 / (z / y). [para(6421(a,1),14657(a,1,2)),flip(a)]. given #13183 (H,wt=15): 14696 K(x * (1 / y),z) = z / T(z,x / y). [para(14691(a,1),5108(a,2,2))]. given #13184 (H,wt=13): 14701 K(x * (1 / y),z) = K(x / y,z). [hyper(273,a,5108,a,b,14696,a),flip(a)]. given #13185 (H,wt=13): 14703 K(x / (1 / y),z) = K(x * y,z). [hyper(62,a,5669,a(flip),b,14701,a),flip(a)]. given #13186 (H,wt=15): 14700 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(5114(a,2),14685(a,1,2))]. given #13187 (H,wt=16): 14650 (1 / x) \ y != x * K(z,u) | K(z,u) = y. [para(14623(a,1),46(a,1)),flip(a)]. given #13188 (H,wt=17): 14607 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [hyper(273,a,10474,a,b,14605,a)]. given #13189 (H,wt=17): 14610 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(57,a,14605,a)]. given #13190 (H,wt=17): 14611 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(8441(a,1),14605(a,1,3))]. given #13191 (H,wt=17): 14612 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(z,w))). [para(8455(a,1),14605(a,1,3))]. given #13192 (H,wt=17): 14613 a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). [para(8457(a,1),14605(a,1,3))]. given #13193 (H,wt=17): 14614 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(14605(a,2),10473(a,1,2))]. given #13194 (H,wt=17): 14615 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(14605(a,1),14531(a,2,2))]. given #13195 (H,wt=17): 14636 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(14608(a,1),14601(a,2,2))]. given #13196 (H,wt=17): 14642 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(273,a,8233,a(flip),b,14623,a),flip(a)]. given #13197 (H,wt=17): 14658 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [hyper(273,a,5388,a(flip),b,14627,a),flip(a)]. given #13198 (H,wt=17): 14676 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(273,a,5516,a,b,14643,a),flip(a)]. given #13199 (H,wt=17): 14689 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [hyper(62,a,5282,a,b,14659,a)]. given #13200 (H,wt=17): 14690 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(14659(a,1),7411(a,1,1))]. given #13201 (H,wt=17): 14706 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(8238,a,14607,a)]. given #13202 (H,wt=17): 14707 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(8411(a,1),14611(a,2,3)),flip(a)]. given #13203 (H,wt=17): 14708 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(8443(a,1),14611(a,2,3))]. given #13204 (H,wt=17): 14710 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(8440(a,1),14636(a,1,3))]. given #13205 (H,wt=17): 14717 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [para(14605(a,2),14706(a,1,1))]. given #13206 (H,wt=17): 14719 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(62,a,14611,a(flip),b,14710,a)]. given #13207 (H,wt=19): 14663 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [para(14629(a,1),14623(a,1,2))]. given #13208 (H,wt=19): 14705 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(14700(a,1),7323(a,1,1,1))]. given #13209 (H,wt=19): 14716 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(14657(a,2),14690(a,1,1))]. given #13210 (H,wt=15): 14728 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(62,a,8883,a(flip),b,14716,a)]. given #13211 (H,wt=19): 14724 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(10(a,1),14663(a,1,2,2)),flip(a)]. given #13212 (H,wt=20): 14721 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(14717(a,1),43(a,1))]. given #13213 (H,wt=21): 14709 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(14613(a,1),14614(a,1,2))]. given #13214 (H,wt=21): 14715 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(14690(a,1),12707(a,1,1))]. given #13215 (H,wt=21): 14729 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(14728(a,1),14659(a,1,2))]. given #13216 (H,wt=21): 14734 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [hyper(273,a,11879,a(flip),b,14709,a),flip(a)]. given #13217 (H,wt=23): 14669 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(115,a,14633,a(flip),b,2319,a)]. given #13218 (H,wt=23): 14699 (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). [para(14695(a,1),13448(a,1,2,2)),flip(a)]. given #13219 (H,wt=15): 14738 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(376,a,14699,a)]. given #13220 (H,wt=19): 14740 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(110(a,1),14738(a,1,2,2))]. given #13221 (H,wt=19): 14741 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(14740(a,1),4273(a,1,2)),flip(a)]. given #13222 (H,wt=23): 14712 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(62,a,9515,a,b,14658,a)]. given #13223 (H,wt=17): 14743 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(54,a,14712,a)]. given #13224 (H,wt=19): 14744 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(14658(a,2),14743(a,1,2))]. given #13225 (H,wt=21): 14745 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(14744(a,1),1858(a,1,1)),flip(a)]. given #13226 (H,wt=19): 14746 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(273,a,66,a(flip),b,14745,a),flip(a)]. given #13227 (H,wt=23): 14718 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(12478,a,14708,a)]. given #13228 (H,wt=23): 14720 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(273,a,9051,a(flip),b,14717,a),flip(a)]. given #13229 (H,wt=23): 14727 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(14705(a,1),7994(a,1,3,2))]. given #13230 (H,wt=23): 14732 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(876(a,1),14724(a,1,2,2)),flip(a)]. given #13231 (H,wt=17): 14753 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(14650,a,14732,a)]. given #13232 (H,wt=17): 14754 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(62,a,10553,a(flip),b,14753,a)]. given #13233 (H,wt=23): 14736 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(273,a,9216,a,b,14734,a),flip(a)]. given #13234 (H,wt=19): 14757 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(33,a,14709,a,b,14736,a)]. given #13235 (H,wt=19): 14758 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(10(a,1),14757(a,1,2)),flip(a)]. given #13236 (H,wt=19): 14759 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(8443(a,2),14757(a,1,3))]. given #13237 (H,wt=19): 14760 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(8443(a,2),14759(a,2,3))]. given #13238 (H,wt=23): 14749 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(8458(a,1),14718(a,1,2))]. given #13239 (H,wt=21): 14761 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(62,a,12929,a(flip),b,14749,a)]. given #13240 (H,wt=19): 14762 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10489(a,1),14761(a,1,1))]. given #13241 (H,wt=19): 14763 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(8458(a,1),14762(a,2,3))]. given #13242 (H,wt=23): 14751 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(8440(a,1),14720(a,1,1,3))]. given #13243 (H,wt=23): 14756 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(62,a,8404,a(flip),b,14754,a),flip(a)]. given #13244 (H,wt=21): 14764 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(273,a,9242,a(flip),b,14756,a)]. given #13245 (H,wt=19): 14765 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [hyper(62,a,14753,a(flip),b,14764,a),flip(a)]. given #13246 (H,wt=24): 14735 L(K(x,y),z,K(u,w)) != K(x,y) * v5 | a(x,z,K(y,K(u,w))) = v5. [para(14709(a,1),42(a,1))]. given #13247 (H,wt=25): 14686 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(14657(a,1),6755(a,1,2,1,2,2))]. given #13248 (H,wt=25): 14704 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(14703(a,1),9735(a,2,2))]. given #13249 (H,wt=21): 14766 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(6144(a,1),14704(a,2,2))]. given #13250 (H,wt=19): 14767 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(273,a,2207,a(flip),b,14766,a),flip(a)]. given #13251 (H,wt=25): 14742 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(14741(a,2),2623(a,1,1))]. given #13252 (H,wt=25): 14752 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8754(a,1),14720(a,1,1,3))]. given #13253 (H,wt=19): 14769 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(62,a,14751,a(flip),b,14752,a),flip(a)]. given #13254 (H,wt=19): 14770 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(77(a,1),14769(a,1,2,2,3)),flip(a)]. given #13255 (H,wt=25): 14755 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(62,a,14190,a(flip),b,14754,a)]. given #13256 (H,wt=23): 14771 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(64(a,1),14755(a,1,2)),flip(a)]. given #13257 (H,wt=23): 14772 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(273,a,6724,a(flip),b,14771,a),flip(a)]. given #13258 (H,wt=19): 14773 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(273,a,11444,a(flip),b,14772,a),flip(a)]. given #13259 (H,wt=19): 14775 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(273,a,10553,a,b,14773,a),flip(a)]. given #13260 (H,wt=19): 14776 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(10(a,1),14775(a,1,2,1,1,1)),flip(a)]. given #13261 (H,wt=17): 14777 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(62,a,11988,a(flip),b,14776,a),flip(a)]. given #13262 (H,wt=17): 14778 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(62,a,14765,a(flip),b,14777,a)]. given #13263 (H,wt=17): 14779 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(62,a,6728,a(flip),b,14777,a)]. given #13264 (H,wt=17): 14780 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(9(a,1),14778(a,1,2,1,1)),flip(a)]. given #13265 (H,wt=19): 14781 K(x,T(x * T(y,z),z)) = K(x,((y \ z) / z) \ x). [hyper(62,a,14175,a(flip),b,14779,a)]. given #13266 (H,wt=25): 14768 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(74(a,1),14767(a,1,1))]. given #13267 (H,wt=21): 14784 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(74(a,1),14768(a,1,2,1)),flip(a)]. given #13268 (H,wt=19): 14786 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(6589(a,1),14784(a,1,1))]. given #13269 (H,wt=26): 14722 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(14717(a,2),9528(a,1))]. given #13270 (H,wt=26): 14789 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(8440(a,1),14722(a,1,1,3))]. given #13271 (H,wt=27): 14782 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(62,a,10571,a,b,14780,a)]. given #13272 (H,wt=23): 14791 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(62,a,10572,a(flip),b,14782,a),flip(a)]. given #13273 (H,wt=23): 14792 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7655,a,14791,a)]. given #13274 (H,wt=21): 14794 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(62,a,8040,a(flip),b,14792,a),flip(a)]. given #13275 (H,wt=23): 14796 K(x,T(T(x * T(y,z),z),u)) = K(x,T((z / (y * z)) \ x,u)). [para(108(a,1),14794(a,1,2,1,1,2)),flip(a)]. given #13276 (H,wt=26): 14797 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(273,a,11991,a(flip),b,14796,a),flip(a)]. given #13277 (H,wt=24): 14798 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(10688,a,14797,a)]. given #13278 (H,wt=24): 14799 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(273,a,5727,a(flip),b,14798,a),flip(a)]. given #13279 (H,wt=20): 14800 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(77(a,1),14799(a,2,2,1,1))]. given #13280 (H,wt=18): 14801 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(273,a,10919,a(flip),b,14800,a)]. given #13281 (H,wt=26): 14803 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(14801(a,2),6845(a,1,1))]. given #13282 (H,wt=24): 14804 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(62,a,6851,a(flip),b,14803,a)]. given #13283 (H,wt=27): 14783 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(14781(a,2),6845(a,1,1))]. given #13284 (H,wt=25): 14805 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),((u \ w) / w) \ x). [hyper(62,a,6845,a(flip),b,14783,a)]. given #13285 (H,wt=25): 14806 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(273,a,13751,a(flip),b,14805,a),flip(a)]. given #13286 (H,wt=21): 14807 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(74(a,1),14806(a,2,2,2))]. given #13287 (H,wt=20): 14809 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(62,a,14804,a,b,14807,a)]. given #13288 (H,wt=20): 14811 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(14244(a,1),14809(a,1,1))]. given #13289 (H,wt=20): 14812 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(14242,a,14811,a)]. given #13290 (H,wt=20): 14813 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(273,a,14244,a(flip),b,14812,a),flip(a)]. given #13291 (H,wt=19): 14814 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(62,a,14260,a(flip),b,14813,a),flip(a)]. given #13292 (H,wt=17): 14816 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(62,a,14305,a(flip),b,14814,a),flip(a)]. given #13293 (H,wt=19): 14817 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(14816(a,2),5173(a,2,1)),flip(a)]. given #13294 (H,wt=17): 14818 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5227,a,14817,a)]. given #13295 (H,wt=23): 14819 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(273,a,13619,a,b,14818,a)]. given #13296 (H,wt=18): 14820 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(62,a,9721,a(flip),b,14819,a)]. given #13297 (H,wt=21): 14821 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(62,a,14281,a,b,14820,a)]. given #13298 (H,wt=21): 14824 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(14604(a,1),14821(a,1,2))]. given #13299 (H,wt=28): 14790 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u \ 1))) = v5. [para(8754(a,1),14722(a,1,1,3))]. given #13300 (H,wt=30): 14750 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(95(a,2),14720(a,2,2,2)),flip(a)]. given #13301 (H,wt=28): 14825 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(14758(a,1),14750(a,2,1))]. given #13302 (H,wt=22): 14826 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(273,a,14720,a(flip),b,14825,a),flip(a)]. given #13303 (H,wt=19): 14827 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(95(a,1),14826(a,1,2,2))]. given #13304 (H,wt=19): 14828 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11086(a,2),14827(a,1,2,2))]. given #13305 (H,wt=33): 14606 L(a(x,y,K(z,u)),K(x,u) * (y * z),K(u,x)) = (y * z) \ (K(u,x) * ((K(x,u) * y) * z)). [para(14604(a,1),5431(a,1,1))]. given #13306 (H,wt=33): 14787 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(14786(a,2),2072(a,1,2))]. given #13307 (H,wt=29): 14830 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(62,a,10216,a(flip),b,14787,a)]. given #13308 (H,wt=29): 14831 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2972(a,2),14830(a,2,1))]. given #13309 (H,wt=25): 14832 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(273,a,77,a(flip),b,14831,a),flip(a)]. given #13310 (H,wt=19): 14835 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(62,a,14742,a(flip),b,14832,a),flip(a)]. given #13311 (H,wt=19): 14836 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [hyper(131,a,14835,a(flip))]. given #13312 (H,wt=28): 14833 T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | (x / ((x \ y) \ 1)) / x = z. [para(14831(a,2),290(a,1))]. given #13313 (H,wt=33): 14829 a(x,y,K(z,L(u,K(x,u) * (y * z),K(u,x)))) = (y * z) \ (K(u,x) * ((K(x,u) * y) * z)). [hyper(62,a,12589,a,b,14606,a)]. given #13314 (H,wt=22): 14837 (x * y) \ (K(z,u) * ((K(u,z) * x) * y)) = a(u,x,K(y,z)). [para(7384(a,1),14829(a,1,3,2)),flip(a)]. given #13315 (H,wt=35): 14711 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(14642(a,1),8342(a,2,1))]. given #13316 (H,wt=31): 14838 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3125(a,1),14711(a,1,2))]. given #13317 (H,wt=25): 14840 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(3265(a,1),14838(a,1,2)),flip(a)]. given #13318 (H,wt=21): 14841 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(273,a,11709,a(flip),b,14840,a),flip(a)]. given #13319 (H,wt=35): 14788 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(14786(a,2),10825(a,2,1,1,2,1)),flip(a)]. given #13320 (H,wt=33): 14844 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(14643(a,1),14788(a,1,1,1,2))]. given #13321 (H,wt=31): 14845 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(9600(a,1),14844(a,1,1,1,2))]. given #13322 (H,wt=27): 14846 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(8179(a,1),14845(a,1,1,1)),flip(a)]. given #13323 (H,wt=27): 14847 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2972(a,2),14846(a,1,2,2,1))]. given #13324 (H,wt=23): 14848 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(77(a,1),14847(a,1,2,2))]. given #13325 (H,wt=19): 14850 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(14836(a,1),14848(a,1,2))]. given #13326 (H,wt=19): 14851 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [hyper(176,a,14850,a(flip))]. given #13327 (H,wt=40): 14748 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(14746(a,1),3083(a,1,1,2))]. given #13328 (H,wt=38): 14852 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(8(a,1),14748(a,1,1)),flip(a)]. given #13329 (H,wt=36): 14853 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(9513(a,1),14852(a,2,3))]. given #13330 (H,wt=34): 14854 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(9513(a,1),14853(a,1,1))]. given #13331 (H,wt=34): 14855 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12770(a,1),14854(a,1,2))]. given #13332 (H,wt=34): 14856 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(62,a,14250,a(flip),b,14855,a)]. given #13333 (H,wt=26): 14857 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5387(a,1),14856(a,1,2)),flip(a)]. given #13334 (H,wt=18): 14858 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(273,a,5387,a(flip),b,14857,a),flip(a)]. given #13335 (H,wt=42): 14823 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3567(a,2),14820(a,2,2,1))]. given #13336 (H,wt=42): 14861 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(12255(a,1),14823(a,1,1))]. given #13337 (H,wt=38): 14862 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(77(a,1),14861(a,1,1,2,1,2,1))]. given #13338 (H,wt=36): 14863 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10376(a,1),14862(a,1,1))]. given #13339 (H,wt=36): 14864 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(62,a,7239,a(flip),b,14863,a)]. given #13340 (H,wt=32): 14866 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(77(a,1),14864(a,1,2,2,1)),flip(a)]. given #13341 (H,wt=30): 14867 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(273,a,13931,a(flip),b,14866,a),flip(a)]. given #13342 (H,wt=27): 14869 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(273,a,14820,a(flip),b,14867,a),flip(a)]. given #13343 (H,wt=23): 14870 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(10(a,1),14869(a,2,2,1))]. given #13344 (H,wt=23): 14871 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3567(a,1),14870(a,1,2,1))]. given #13345 (H,wt=43): 14713 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(14676(a,1),13163(a,2,1,2))]. given #13346 (H,wt=43): 14872 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7755(a,1),14713(a,2,1))]. given #13347 (H,wt=41): 14873 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3143(a,1),14872(a,2,1,1))]. given #13348 (H,wt=39): 14874 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(8271(a,1),14873(a,2,2))]. given #13349 (H,wt=25): 14875 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(273,a,14743,a(flip),b,14874,a),flip(a)]. given #13350 (H,wt=23): 14877 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(12010(a,1),14875(a,1,1))]. given #13351 (H,wt=46): 14843 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(14841(a,1),14540(a,2,2))]. given #13352 (H,wt=46): 14878 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(273,a,5388,a(flip),b,14843,a),flip(a)]. given #13353 (H,wt=44): 14879 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [hyper(273,a,8965,a(flip),b,14878,a),flip(a)]. given #13354 (H,wt=34): 14880 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4760(a,1),14879(a,1,2,2,2))]. given #13355 (H,wt=34): 14882 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(5388(a,1),14880(a,1,2,2))]. given #13356 (H,wt=32): 14883 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(10718(a,1),14882(a,1,2,2)),flip(a)]. given #13357 (H,wt=26): 14884 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(273,a,11107,a(flip),b,14883,a),flip(a)]. given #13358 (H,wt=24): 14885 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(177(a,1),14884(a,2,2))]. given #13359 (H,wt=49): 14737 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(12010(a,2),14669(a,1,2,1))]. given #13360 (H,wt=49): 14886 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5952(a,1),14737(a,1,1,1))]. given #13361 (H,wt=47): 14887 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(12010(a,1),14886(a,1,1))]. given #13362 (H,wt=45): 14888 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(12010(a,1),14887(a,1,2,1))]. given #13363 (H,wt=45): 14889 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5952(a,1),14888(a,1,2,2,2))]. given #13364 (H,wt=25): 14890 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(14877(a,1),14889(a,1,2)),flip(a)]. given #13365 (H,wt=23): 14891 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(273,a,12893,a(flip),b,14890,a),flip(a)]. given #13366 (H,wt=23): 14893 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5952(a,1),14891(a,1,2,1))]. given #13367 (H,wt=21): 14894 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(12010(a,1),14893(a,1,2))]. given #13368 (H,wt=21): 14895 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [hyper(171,a,14894,a)]. given #13369 (H,wt=52): 14896 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(14895(a,1),14131(a,1,1,1))]. given #13370 (H,wt=50): 14897 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12893(a,1),14896(a,1,1))]. given #13371 (H,wt=48): 14898 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(14895(a,1),14897(a,1,2,2))]. given #13372 (H,wt=46): 14899 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(14727(a,1),14898(a,1,2))]. given #13373 (H,wt=44): 14900 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(7785(a,1),14899(a,1,2))]. given #13374 (H,wt=29): 14901 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14858(a,1),14900(a,1,2)),flip(a)]. given #13375 (H,wt=27): 14902 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14895(a,1),14901(a,1,1,1,1))]. given #13376 (H,wt=25): 14903 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12893(a,1),14902(a,1,1,1))]. given #13377 (H,wt=23): 14904 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(14895(a,1),14903(a,1,1)),flip(a)]. given #13378 (H,wt=40): 14905 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(14904(a,1),9771(a,1,1))]. given #13379 (H,wt=38): 14906 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(9770(a,1),14905(a,1,2))]. given #13380 (H,wt=38): 14907 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(62,a,10313,a(flip),b,14906,a)]. given #13381 (H,wt=36): 14908 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5141(a,1),14907(a,1,2))]. given #13382 (H,wt=25): 14909 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(14312,a,14908,a)]. given #13383 (H,wt=55): 14911 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(14909(a,1),13777(a,1,1))]. given #13384 (H,wt=47): 14912 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(6749(a,1),14911(a,1,1,1)),flip(a)]. given #13385 (H,wt=43): 14913 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5715(a,1),14912(a,2,2))]. given #13386 (H,wt=43): 14914 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(6213(a,1),14913(a,2,2))]. given #13387 (H,wt=41): 14915 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(11967(a,1),14914(a,2,2))]. given #13388 (H,wt=37): 14916 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(9(a,1),14915(a,2,2,1))]. given #13389 (H,wt=35): 14917 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(273,a,6425,a(flip),b,14916,a),flip(a)]. given #13390 (H,wt=33): 14919 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(273,a,10130,a(flip),b,14917,a),flip(a)]. given #13391 (H,wt=33): 14920 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5952(a,1),14919(a,1,1,1))]. given #13392 (H,wt=31): 14921 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(14909(a,1),14920(a,1,1))]. given #13393 (H,wt=23): 14922 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6749(a,1),14921(a,1,1,1))]. given #13394 (H,wt=19): 14923 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(62,a,4795,a(flip),b,14922,a)]. given #13395 (H,wt=19): 14924 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4300(a,1),14923(a,2,1))]. given #13396 (H,wt=29): 14925 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(14482(a,1),14924(a,2,2))]. given #13397 (H,wt=25): 14926 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(14482(a,1),14925(a,1,1,1))]. given #13398 (H,wt=21): 14927 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(273,a,14824,a(flip),b,14926,a),flip(a)]. given #13399 (H,wt=21): 14928 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(11587(a,1),14927(a,1,1))]. given #13400 (H,wt=21): 14929 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(14615(a,2),14928(a,1,1))]. given #13401 (H,wt=21): 14930 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(4404,a,14929,a)]. given #13402 (H,wt=17): 14931 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(62,a,14536,a(flip),b,14930,a),flip(a)]. given #13403 (H,wt=23): 14932 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(62,a,14871,a(flip),b,14931,a),flip(a)]. given #13404 (H,wt=21): 14933 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(11935(a,1),14932(a,1,2,1))]. given #13405 (H,wt=21): 14934 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(62,a,14538,a(flip),b,14933,a)]. given #13406 (H,wt=17): 14935 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(5110(a,2),14934(a,1,2,1,2))]. given #13407 (H,wt=13): 14936 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(13353(a,1),14935(a,1,2,1)),flip(a)]. given #13408 (H,wt=15): 14937 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(115,a,14936,a(flip),b,5163,a(flip))]. given #13409 (H,wt=13): 14939 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5239,a,14937,a),flip(a)]. given #13410 (H,wt=13): 14940 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(273,a,11879,a,b,14939,a)]. given #13411 (H,wt=13): 14945 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(273,a,14240,a,b,14940,a)]. given #13412 (H,wt=15): 14938 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(14936(a,1),5108(a,2,2)),flip(a)]. given #13413 (H,wt=13): 14952 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(5202,a,14938,a),flip(a)]. given #13414 (H,wt=17): 14948 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(62,a,5994,a(flip),b,14945,a),flip(a)]. given #13415 (H,wt=17): 14954 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(6258,a,14948,a),flip(a)]. given #13416 (H,wt=18): 14942 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(259(a,1),14939(a,1,2)),flip(a)]. given #13417 (H,wt=18): 14947 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(62,a,6861,a(flip),b,14945,a),flip(a)]. given #13418 (H,wt=18): 14949 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(14945(a,1),104(a,1,1))]. given #13419 (H,wt=20): 14943 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(599(a,1),14939(a,1,2)),flip(a)]. given #13420 (H,wt=21): 14959 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(463(a,1),14943(a,1,2)),flip(a)]. given #13421 (H,wt=22): 14958 K(x,1 / L(y,z,u)) * (z * u) = (K(x,1 / y) * z) * u. [para(6169(a,1),14949(a,1,1))]. given #13422 (H,wt=24): 14956 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(14942(a,1),11897(a,2,2))]. given #13423 (H,wt=26): 14961 K(x,1 / L(y,z,u)) * (z * T(u,z)) = (K(x,1 / y) * z) * T(u,z). [para(11083(a,1),14958(a,1,1,2,2))]. given #13424 (H,wt=26): 14962 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(14703(a,1),14956(a,1,2))]. given #13425 (H,wt=27): 14955 ((x \ 1) \ K(L(y,z,u) \ 1,x)) \ ((x \ 1) \ 1) = K(x,R(y,z,u) \ 1). [para(14954(a,1),8273(a,1,1,2))]. given #13426 (H,wt=17): 14964 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(8330,a,14955,a),flip(a)]. given #13427 (H,wt=28): 14963 K(x,K(y,L(z,u,w))) * (u * T(w,u)) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(11890(a,1),14961(a,1,1))]. given #13428 (H,wt=26): 14966 K(x,K(y,L(z,u,w))) * (w * u) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(108(a,1),14963(a,1,2))]. given #13429 (H,wt=28): 14965 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(696(a,1),14964(a,1,2,1)),flip(a)]. given #13430 (H,wt=28): 14967 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(273,a,7468,a,b,14965,a),flip(a)]. given #13431 (H,wt=26): 14968 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(273,a,10324,a(flip),b,14967,a),flip(a)]. given #13432 (H,wt=23): 14969 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6625,a,14968,a),flip(a)]. given #13433 (H,wt=30): 14944 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(14939(a,1),10318(a,1,2))]. given #13434 (H,wt=30): 14950 L(K(x,y),z,T(u,K(x,y) * z)) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(14945(a,1),468(a,1,1))]. given #13435 (H,wt=24): 14971 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(11110(a,1),14950(a,1,1))]. given #13436 (H,wt=24): 14972 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6290,a,14971,a)]. given #13437 (H,wt=31): 14957 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(62,a,7480,a(flip),b,14947,a)]. given #13438 (H,wt=31): 14974 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(62,a,11928,a,b,14972,a)]. given #13439 (H,wt=24): 14975 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(13941(a,1),14974(a,1,1))]. given #13440 (H,wt=24): 14976 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(8502(a,1),14975(a,1,1,2))]. given #13441 (H,wt=25): 14977 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(115,a,14390,a,b,14976,a(flip))]. given #13442 (H,wt=29): 14978 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8690(a,2),14977(a,1,2,2))]. given #13443 (H,wt=29): 14979 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(9475(a,2),14978(a,1,2))]. given #13444 (H,wt=33): 14980 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(8822(a,2),14979(a,1,2,2,2))]. given #13445 (H,wt=38): 14960 K(x,L(T(y,K(z,u)) \ (w / K(z,u)),T(y,K(z,u)),K(z,u))) = K(x,T(w / (K(z,u) * y),T(y,K(z,u)))). [para(8511(a,1),14943(a,2,2,1,2))]. given #13446 (H,wt=33): 14982 K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(K(z,u) * T(w,K(z,u))) \ T(y,K(z,u))). [para(8743(a,1),14960(a,1,2)),flip(a)]. given #13447 (H,wt=29): 14983 K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [para(108(a,1),14982(a,2,2,1))]. given #13448 (H,wt=41): 14970 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(6204(a,1),14969(a,2,2,1))]. given #13449 (H,wt=33): 14984 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(12(a,1),14970(a,1,2,1,2))]. given #13450 (H,wt=41): 14981 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7464(a,2),14980(a,1,2,2))]. given #13451 (H,wt=21): 14985 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(6789(a,2),14981(a,1,2))]. given #13452 (H,wt=21): 14986 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(8502(a,1),14985(a,1,2,1,2))]. given #13453 (H,wt=21): 14989 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(8502(a,1),14986(a,1,2))]. given #13454 (H,wt=15): 14990 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(62,a,14985,a(flip),b,14989,a)]. given #13455 (H,wt=17): 14991 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(115,a,14990,a,b,5163,a(flip))]. given #13456 (H,wt=15): 14993 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(5239,a,14991,a)]. given #13457 (H,wt=17): 14992 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(5178(a,1),14990(a,1,2)),flip(a)]. given #13458 (H,wt=17): 14994 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5518(a,1),14993(a,1,2)),flip(a)]. given #13459 (H,wt=17): 14996 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5334(a,1),14992(a,1,2))]. given #13460 (H,wt=15): 14998 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(199(a,1),14996(a,1,2,1)),flip(a)]. given #13461 (H,wt=17): 14997 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5490(a,2),14994(a,1,2))]. given #13462 (H,wt=19): 14999 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(13388,a,14998,a),flip(a)]. given #13463 (H,wt=15): 15001 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(13379,a,14999,a),flip(a)]. given #13464 (H,wt=17): 15003 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(198(a,1),15001(a,1,2,2,1)),flip(a)]. given #13465 (H,wt=19): 15004 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(15003(a,1),5108(a,2,2))]. given #13466 (H,wt=17): 15005 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(273,a,5108,a,b,15004,a),flip(a)]. given #13467 (H,wt=20): 15000 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4356(a,1),14997(a,1,2,1))]. given #13468 (H,wt=21): 14995 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7588(a,1),14993(a,1,2)),flip(a)]. given #13469 (H,wt=25): 14987 x \ T(y * T(x,K(z,u)),K(z,z \ u)) = T(y,K(z \ u,z) * x). [para(8706(a,1),14985(a,1,2,1,2))]. given #13470 (H,wt=23): 15007 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). [para(8706(a,1),14987(a,1,2))]. given #13471 (H,wt=17): 15008 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [hyper(62,a,14985,a(flip),b,15007,a),flip(a)]. given #13472 (H,wt=17): 15010 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(9(a,1),15008(a,1,2,1,1)),flip(a)]. given #13473 (H,wt=17): 15011 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(62,a,14990,a,b,15010,a)]. given #13474 (H,wt=19): 15009 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(115,a,15008,a(flip),b,5163,a(flip)),flip(a)]. given #13475 (H,wt=17): 15013 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [hyper(273,a,5111,a,b,15009,a),flip(a)]. given #13476 (H,wt=17): 15015 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [hyper(62,a,14993,a,b,15013,a)]. given #13477 (H,wt=19): 15016 K(x,T(y,y \ z) \ u) = K(x,K(z,y) * (y \ u)). [para(5518(a,1),15013(a,1,2))]. given #13478 (H,wt=17): 15019 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(5518(a,1),15016(a,2,2))]. given #13479 (H,wt=17): 15020 K(x,T(y,y * z) \ u) = K(x,T(y,z) \ u). [para(9(a,1),15019(a,1,2,1,2)),flip(a)]. given #13480 (H,wt=17): 15021 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(109(a,1),15019(a,1,2,1))]. given #13481 (H,wt=19): 15018 K(x,K((y \ 1) \ z,y) * u) = K(x,K(y,z) * u). [para(4484(a,1),15015(a,1,2,1)),flip(a)]. given #13482 (H,wt=20): 15014 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(15009(a,2),5239(a,1))]. given #13483 (H,wt=23): 15012 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(13387,a,15011,a),flip(a)]. given #13484 (H,wt=17): 15025 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(13386,a,15012,a),flip(a)]. given #13485 (H,wt=23): 15017 K(x,K(y,z) * T(u,K(z,z \ y))) = K(x,u * K(z,z \ y)). [para(108(a,1),15015(a,1,2)),flip(a)]. given #13486 (H,wt=21): 15026 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,z \ y)). [para(8706(a,1),15017(a,1,2,2))]. given #13487 (H,wt=17): 15027 K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). [para(8508(a,1),15026(a,1,2)),flip(a)]. given #13488 (H,wt=24): 15028 K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u \ 1,z * u)). [para(7807(a,1),15027(a,1,2,2)),flip(a)]. given #13489 (H,wt=25): 14988 x \ T(y * T(x,K(z,u)),K(z,1 / u)) = T(y,K(1 / u,z) * x). [para(8798(a,1),14985(a,1,2,1,2))]. given #13490 (H,wt=23): 15029 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(1 / u,z) * x). [para(8798(a,1),14988(a,1,2))]. given #13491 (H,wt=17): 15030 T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). [hyper(62,a,14985,a(flip),b,15029,a),flip(a)]. given #13492 (H,wt=17): 15031 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(74(a,1),15030(a,1,2,1,1)),flip(a)]. given #13493 (H,wt=19): 15032 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(115,a,15031,a(flip),b,5163,a(flip)),flip(a)]. given #13494 (H,wt=17): 15034 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(273,a,5111,a,b,15032,a),flip(a)]. given #13495 (H,wt=17): 15036 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(62,a,14993,a,b,15034,a)]. given #13496 (H,wt=19): 15039 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6569(a,1),15036(a,1,2,1)),flip(a)]. given #13497 (H,wt=17): 15042 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(15014,a,15039,a),flip(a)]. given #13498 (H,wt=19): 15044 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(62,a,14994,a(flip),b,15042,a)]. given #13499 (H,wt=17): 15046 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5518(a,1),15044(a,2,2))]. given #13500 (H,wt=20): 15035 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(15032(a,2),5239(a,1))]. given #13501 (H,wt=20): 15043 K(x,K(y,z \ y) * u) != w | K(x,K(z,y) * u) = w. [para(15039(a,1),15014(a,1))]. given #13502 (H,wt=21): 15037 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5475(a,1),15034(a,1,2)),flip(a)]. given #13503 (H,wt=21): 15041 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(8799(a,1),15036(a,1,2)),flip(a)]. given #13504 (H,wt=17): 15048 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(8508(a,1),15041(a,1,2)),flip(a)]. given #13505 (H,wt=19): 15049 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(15048(a,1),5370(a,1,2)),flip(a)]. given #13506 (H,wt=17): 15051 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(273,a,5370,a(flip),b,15049,a),flip(a)]. given #13507 (H,wt=23): 15033 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(8508(a,1),15031(a,1,2)),flip(a)]. given #13508 (H,wt=21): 15053 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8796(a,1),15033(a,1,2,2))]. given #13509 (H,wt=17): 15054 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(108(a,1),15053(a,1,2)),flip(a)]. given #13510 (H,wt=23): 15052 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(62,a,13339,a,b,15051,a)]. given #13511 (H,wt=25): 15022 K(x,T(y * K(z,y),z * y) \ u) = K(x,T(y * K(z,y),z) \ u). [para(5210(a,1),15019(a,1,2,1,2)),flip(a)]. given #13512 (H,wt=20): 15055 K(x,T(y * K(z,y),z) \ u) = K(x,L(y,z,y) \ u). [para(5332(a,1),15022(a,1,2,1)),flip(a)]. given #13513 (H,wt=14): 15056 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(5134(a,1),15055(a,1,2,1)),flip(a)]. given #13514 (H,wt=14): 15059 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(4704(a,1),15056(a,1,2,1)),flip(a)]. given #13515 (H,wt=22): 15060 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(15059(a,1),7169(a,1,1))]. given #13516 (H,wt=17): 15061 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [hyper(9780,a,15060,a),flip(a)]. given #13517 (H,wt=17): 15063 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(10(a,1),15061(a,1,2,1,1)),flip(a)]. given #13518 (H,wt=25): 15023 L(K(x,T(y,z) \ (z \ u)),z \ u,z) = K(x,(L(y,z,y) * z) \ u). [para(15020(a,1),7168(a,1,1))]. given #13519 (H,wt=20): 15065 K(x,(L(y,z,y) * z) \ u) = K(x,(z * T(y,z)) \ u). [hyper(9780,a,15023,a),flip(a)]. given #13520 (H,wt=18): 15066 K(x,(L(y,z,y) * z) \ u) = K(x,(y * z) \ u). [para(108(a,1),15065(a,2,2,1))]. given #13521 (H,wt=17): 15067 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(62,a,15000,a(flip),b,15066,a)]. given #13522 (H,wt=25): 15045 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7588(a,1),15042(a,1,2))]. given #13523 (H,wt=23): 15068 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(273,a,14995,a(flip),b,15045,a),flip(a)]. given #13524 (H,wt=21): 15069 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10235(a,1),15068(a,1,2))]. given #13525 (H,wt=27): 15050 K(x,y * K(z,(L(u \ 1,w,v5) \ 1) \ 1)) = K(x,y * L(K(u,z),w,v5)). [para(6264(a,1),15048(a,2,2,2))]. given #13526 (H,wt=23): 15072 K(x,y * K(z,L(u \ 1,w,v5))) = K(x,y * L(K(u,z),w,v5)). [para(3635(a,1),15050(a,1,2,2))]. given #13527 (H,wt=28): 15024 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(y,(y \ 1) \ z)) \ w). [para(15018(a,1),7167(a,1,1))]. given #13528 (H,wt=23): 15073 K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(u,z)) \ w). [hyper(9781,a,15024,a),flip(a)]. given #13529 (H,wt=28): 15038 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(15034(a,1),8897(a,1,1))]. given #13530 (H,wt=23): 15074 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9781,a,15038,a),flip(a)]. given #13531 (H,wt=21): 15075 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(8873(a,1),15074(a,1,2,1))]. given #13532 (H,wt=28): 15040 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(15036(a,1),7181(a,1,1))]. given #13533 (H,wt=23): 15076 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9781,a,15040,a),flip(a)]. given #13534 (H,wt=21): 15077 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6746(a,1),15076(a,1,2,1))]. given #13535 (H,wt=29): 15006 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1186(a,1),15005(a,2,1))]. given #13536 (H,wt=25): 15081 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1918(a,1),15006(a,1,1))]. given #13537 (H,wt=21): 15082 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(5153(a,1),15081(a,1,1,2)),flip(a)]. given #13538 (H,wt=19): 15083 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(5112(a,1),15082(a,1,1,2))]. given #13539 (H,wt=29): 15084 ((x \ 1) \ K(y \ K(z,u \ 1),x)) \ ((x \ 1) \ 1) = K(x,y \ K(u \ 1,z)). [para(15083(a,1),8273(a,1,1,2))]. given #13540 (H,wt=19): 15085 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(8330,a,15084,a),flip(a)]. given #13541 (H,wt=31): 15064 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(62,a,14969,a,b,15063,a)]. given #13542 (H,wt=27): 15086 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(10(a,1),15064(a,1,2,1,2))]. given #13543 (H,wt=31): 15070 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,14984,a(flip),b,15069,a)]. given #13544 (H,wt=29): 15087 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,15075,a(flip),b,15070,a)]. given #13545 (H,wt=31): 15078 K(x,(y * K((z \ 1) \ 1,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z \ 1)) \ w). [para(4477(a,1),15077(a,2,2,1,2))]. given #13546 (H,wt=27): 15088 K(x,(y * K(z * u,z \ 1)) \ w) = K(x,(y * K(z,(z \ 1) \ u)) \ w). [para(3109(a,1),15078(a,1,2,1,2)),flip(a)]. given #13547 (H,wt=25): 15089 K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z)) \ w). [hyper(62,a,15075,a(flip),b,15088,a),flip(a)]. given #13548 (H,wt=21): 15090 K(x,(y * K(z * u,z)) \ w) = K(x,(y * K(u,z)) \ w). [hyper(62,a,15073,a(flip),b,15089,a),flip(a)]. given #13549 (H,wt=21): 15091 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(5626(a,2),15090(a,1,2,1,2))]. given #13550 (H,wt=27): 15092 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,15087,a(flip),b,15091,a),flip(a)]. given #13551 (H,wt=25): 15093 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(5163(a,2),15092(a,1,2,1))]. given #13552 (H,wt=31): 15094 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(4209(a,1),15093(a,1,2,1))]. given #13553 (H,wt=29): 15095 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(108(a,1),15094(a,1,2,2,1))]. given #13554 (H,wt=27): 15096 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(108(a,1),15095(a,1,2,2,2,2))]. given #13555 (H,wt=23): 15097 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8779(a,1),15096(a,2,2))]. given #13556 (H,wt=33): 15047 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(5210(a,1),15037(a,1,2,2)),flip(a)]. given #13557 (H,wt=31): 15099 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(8579(a,1),15047(a,2,2,1))]. given #13558 (H,wt=29): 15100 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(8548(a,1),15099(a,2,2))]. given #13559 (H,wt=21): 15101 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(5210(a,1),15100(a,1,2,2,1,2))]. given #13560 (H,wt=17): 15102 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5473(a,1),15101(a,1,2))]. given #13561 (H,wt=19): 15104 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(15102(a,1),5370(a,1,2)),flip(a)]. given #13562 (H,wt=17): 15105 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(273,a,5370,a(flip),b,15104,a),flip(a)]. given #13563 (H,wt=21): 15106 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(62,a,13350,a(flip),b,15105,a),flip(a)]. given #13564 (H,wt=21): 15107 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(62,a,15052,a,b,15106,a)]. given #13565 (H,wt=22): 15103 K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u,z * u)). [hyper(62,a,15028,a,b,15102,a)]. given #13566 (H,wt=22): 15109 K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u,u * z)). [para(6724(a,1),15103(a,2,2,2))]. given #13567 (H,wt=20): 15110 K(x,y * L(K(z,u),z,u)) = K(x,y * K(z,z * u)). [hyper(62,a,15072,a(flip),b,15109,a)]. given #13568 (H,wt=17): 15111 K(x,y * K(z,z * u)) = K(x,y * K(z,u)). [para(6548(a,1),15110(a,1,2,2)),flip(a)]. given #13569 (H,wt=17): 15113 K(x,(y * K(z * u,z)) * K(z,u)) = K(x,y). [para(8218(a,1),15111(a,1,2)),flip(a)]. given #13570 (H,wt=17): 15115 K(x,y * (K(z * u,z) * K(z,u))) = K(x,y). [para(9392(a,1),15113(a,1,2))]. given #13571 (H,wt=14): 15116 K(x,y * (z \ R(z,u,z))) = K(x,y). [para(5809(a,1),15115(a,1,2,2))]. given #13572 (H,wt=14): 15117 K(x,y / (z \ R(z,u,z))) = K(x,y). [para(12(a,1),15116(a,1,2)),flip(a)]. given #13573 (H,wt=14): 15118 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(12795(a,1),15117(a,1,2))]. given #13574 (H,wt=12): 15120 K(x,a(y,z,y) \ u) = K(x,u). [para(12030(a,1),15118(a,1,2,1))]. given #13575 (H,wt=14): 15121 T(x,a(y,z,y) \ u) = x * K(x,u). [para(15120(a,1),5163(a,2,2))]. given #13576 (H,wt=12): 15122 T(x,a(y,z,y) \ u) = T(x,u). [hyper(273,a,5163,a,b,15121,a),flip(a)]. given #13577 (H,wt=14): 15123 T(x,y * L(z,u,z)) = T(x,y * z). [para(12808(a,1),15122(a,1,2))]. given #13578 (H,wt=14): 15124 T(x,y / R(z,u,z)) = T(x,y / z). [para(14454(a,1),15122(a,1,2))]. given #13579 (H,wt=15): 15125 T(x,(y * z) * y) = T(x,y * (z * y)). [para(94(a,1),15123(a,1,2)),flip(a)]. given #13580 (H,wt=17): 15126 T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). [para(7929(a,1),15124(a,1,2,2))]. given #13581 (H,wt=13): 15128 T(x,y / T(z,y)) = T(x,z \ y). [para(74(a,1),15126(a,1,2)),flip(a)]. given #13582 (H,wt=13): 15131 T(x,T(y,z) / z) = T(x,z \ y). [para(4222(a,2),15128(a,1,2))]. given #13583 (H,wt=20): 15130 T(x,1 / ((y \ z) \ z)) != u | T(x,T(1 / y,z)) = u. [para(15126(a,2),10128(a,1))]. given #13584 (H,wt=23): 15119 L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). [para(15118(a,1),7131(a,1,1))]. given #13585 (H,wt=18): 15132 K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). [hyper(11368,a,15119,a),flip(a)]. given #13586 (H,wt=16): 15134 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12810(a,1),15132(a,1,2,1))]. given #13587 (H,wt=22): 15135 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(7171,a,15134,a)]. given #13588 (H,wt=16): 15136 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(13528,a,15135,a),flip(a)]. given #13589 (H,wt=17): 15138 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(12056(a,1),15136(a,1,2,2))]. given #13590 (H,wt=18): 15139 K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. [para(15138(a,1),7935(a,1))]. given #13591 (H,wt=18): 15140 K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u. [para(9934(a,2),15139(a,1))]. given #13592 (H,wt=25): 15108 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(13425,a,15107,a)]. given #13593 (H,wt=21): 15141 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(273,a,13418,a(flip),b,15108,a)]. given #13594 (H,wt=19): 15142 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4921(a,1),15141(a,1,1))]. given #13595 (H,wt=17): 15143 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8951,a,15142,a),flip(a)]. given #13596 (H,wt=23): 15144 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(62,a,10335,a,b,15143,a)]. given #13597 (H,wt=21): 15145 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(62,a,14025,a(flip),b,15144,a),flip(a)]. given #13598 (H,wt=17): 15146 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(62,a,14026,a(flip),b,15145,a),flip(a)]. given #13599 (H,wt=15): 15147 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(5175(a,1),15146(a,1,1,2)),flip(a)]. given #13600 (H,wt=17): 15148 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(15147(a,1),5370(a,1,2)),flip(a)]. given #13601 (H,wt=15): 15149 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(273,a,5370,a(flip),b,15148,a),flip(a)]. given #13602 (H,wt=17): 15151 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(5134(a,1),15149(a,1,2,2,1)),flip(a)]. given #13603 (H,wt=17): 15152 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(7159,a,15151,a)]. given #13604 (H,wt=21): 15153 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(3107(a,1),15152(a,1,2,2))]. given #13605 (H,wt=23): 15150 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(4252(a,1),15149(a,1,2,2,1))]. given #13606 (H,wt=21): 15154 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(62,a,15138,a(flip),b,15150,a)]. given #13607 (H,wt=17): 15155 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(4220(a,1),15154(a,1,2,2)),flip(a)]. given #13608 (H,wt=19): 15156 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(62,a,15097,a(flip),b,15155,a),flip(a)]. given #13609 (H,wt=25): 15127 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5812(a,1),15125(a,1,2)),flip(a)]. given #13610 (H,wt=15): 15158 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(5072(a,1),15127(a,1,2,2))]. given #13611 (H,wt=33): 15071 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(6239(a,1),15069(a,1,2,2,2)),flip(a)]. given #13612 (H,wt=29): 15159 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(10671(a,1),15071(a,2,2))]. given #13613 (H,wt=27): 15160 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8783(a,1),15159(a,1,2))]. given #13614 (H,wt=21): 15161 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9729(a,1),15160(a,1,2)),flip(a)]. given #13615 (H,wt=19): 15162 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(273,a,8902,a(flip),b,15161,a),flip(a)]. given #13616 (H,wt=23): 15164 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(62,a,15086,a(flip),b,15162,a)]. given #13617 (H,wt=34): 15079 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8449(a,1),15077(a,2,2))]. given #13618 (H,wt=30): 15166 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7859(a,1),15079(a,1,2,2,2))]. given #13619 (H,wt=30): 15168 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8443(a,2),15166(a,1,2,2))]. given #13620 (H,wt=26): 15169 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8769(a,1),15168(a,1,2)),flip(a)]. given #13621 (H,wt=24): 15170 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(273,a,6584,a(flip),b,15169,a),flip(a)]. given #13622 (H,wt=19): 15171 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(62,a,15066,a(flip),b,15170,a)]. given #13623 (H,wt=17): 15172 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6628,a,15171,a),flip(a)]. given #13624 (H,wt=17): 15175 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(62,a,15085,a,b,15172,a)]. given #13625 (H,wt=19): 15176 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(62,a,15153,a(flip),b,15175,a),flip(a)]. given #13626 (H,wt=17): 15177 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(62,a,15152,a(flip),b,15176,a),flip(a)]. given #13627 (H,wt=17): 15178 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(74(a,1),15177(a,1,2,2,2)),flip(a)]. given #13628 (H,wt=21): 15179 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(7706(a,1),15178(a,1,2,2))]. given #13629 (H,wt=35): 15165 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(4250(a,1),15164(a,1,2,2,1))]. given #13630 (H,wt=33): 15180 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(9962(a,1),15165(a,1,2,1))]. given #13631 (H,wt=29): 15181 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(4250(a,1),15180(a,1,2,2,2,2))]. given #13632 (H,wt=27): 15183 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(62,a,15046,a(flip),b,15181,a)]. given #13633 (H,wt=25): 15184 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(15131(a,1),15183(a,2,2))]. given #13634 (H,wt=21): 15185 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(62,a,15155,a(flip),b,15184,a)]. given #13635 (H,wt=37): 15157 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6113(a,1),15156(a,1,2,2,2))]. given #13636 (H,wt=35): 15186 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(109(a,1),15157(a,1,2,1))]. given #13637 (H,wt=33): 15187 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15054(a,1),15186(a,1,2,2))]. given #13638 (H,wt=33): 15188 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6724(a,1),15187(a,1,2,2,2,2))]. given #13639 (H,wt=31): 15189 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15025(a,1),15188(a,1,2,2))]. given #13640 (H,wt=29): 15190 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5163(a,2),15189(a,1,2,2,2))]. given #13641 (H,wt=27): 15191 K(x,T(y / (z * u),(z * u) \ u)) = K(x,T(z * u,u) \ T(y,T(u,z))). [hyper(62,a,15021,a(flip),b,15190,a),flip(a)]. given #13642 (H,wt=25): 15192 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(273,a,15067,a(flip),b,15191,a),flip(a)]. given #13643 (H,wt=25): 15193 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(7705(a,1),15192(a,1,2))]. given #13644 (H,wt=23): 15194 K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). [hyper(8935,a,15193,a)]. given #13645 (H,wt=47): 15195 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(5474(a,1),15194(a,2,2,1))]. given #13646 (H,wt=43): 15196 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(8781(a,1),15195(a,2,2,2))]. given #13647 (H,wt=43): 15197 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(9073(a,1),15196(a,2,2,2))]. given #13648 (H,wt=41): 15198 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(273,a,15179,a(flip),b,15197,a),flip(a)]. given #13649 (H,wt=39): 15199 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(273,a,15077,a(flip),b,15198,a),flip(a)]. given #13650 (H,wt=37): 15200 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(273,a,15091,a(flip),b,15199,a),flip(a)]. given #13651 (H,wt=35): 15201 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(5163(a,2),15200(a,2,2,1))]. given #13652 (H,wt=33): 15202 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(273,a,15185,a(flip),b,15201,a),flip(a)]. given #13653 (H,wt=25): 15203 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(10(a,1),15202(a,1,2,1,2))]. given #13654 (H,wt=21): 15204 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(9855(a,1),15203(a,1,2))]. given #13655 (H,wt=19): 15205 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(13368(a,1),15204(a,1,2)),flip(a)]. given #13656 (H,wt=19): 15206 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(11(a,1),15205(a,1,2,1)),flip(a)]. given #13657 (H,wt=15): 15208 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(11(a,1),15206(a,1,2,1)),flip(a)]. given #13658 (H,wt=16): 15211 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(15208(a,1),7456(a,1))]. given #13659 (H,wt=16): 15212 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(15208(a,1),8925(a,1))]. given #13660 (H,wt=16): 15214 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(7460(a,1),15212(a,1))]. given #13661 (H,wt=17): 15209 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [hyper(8935,a,15208,a),flip(a)]. given #13662 (H,wt=19): 15207 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(77(a,1),15205(a,1,2,2)),flip(a)]. given #13663 (H,wt=19): 15216 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(15158(a,1),15207(a,1,2))]. given #13664 (H,wt=17): 15217 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(62,a,15209,a(flip),b,15216,a)]. given #13665 (H,wt=20): 15215 K(x,1 / (y / (y / (1 / z)))) != u | K(x,T(z,y)) = u. [para(11106(a,1),15214(a,1))]. given #13666 (H,wt=21): 15218 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(15217(a,1),12319(a,1,1))]. given #13667 (H,wt=13): 15219 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(62,a,11313,a(flip),b,15218,a)]. given #13668 (H,wt=13): 15222 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(273,a,8443,a,b,15219,a),flip(a)]. given #13669 (H,wt=13): 15223 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(273,a,8440,a,b,15219,a),flip(a)]. given #13670 (H,wt=15): 15220 K(x,K(y,T(z,u))) = K(x,K(y,T(z,w))). [hyper(273,a,15219,a,b,15219,a)]. given #13671 (H,wt=15): 15227 K(x,K(y,T(z,u))) = K(z,K(x,T(y,w))). [hyper(273,a,15219,a,b,15222,a)]. given #13672 (H,wt=15): 15231 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(110(a,1),15222(a,1,2,2)),flip(a)]. given #13673 (H,wt=15): 15233 K(x,K(y / z,u)) = K(x,K(z \ y,u)). [para(7469(a,1),15222(a,1,2)),flip(a)]. given #13674 (H,wt=15): 15234 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(15222(a,1),7570(a,1,2)),flip(a)]. given #13675 (H,wt=9): 15303 T(x,K(y,K(z,u))) = x. [hyper(8513,a,15234,a)]. given #13676 (H,wt=9): 15312 K(x,K(y,K(z,u))) = 1. [hyper(54,a,15303,a)]. given #13677 (H,wt=9): 15313 K(K(x,y),K(z,u)) = 1. [hyper(9442,a,15312,a)]. given #13678 (H,wt=11): 15309 T(x,T(y,K(z,u))) = T(x,y). [hyper(33,a,10090,a(flip),b,15234,a),flip(a)]. given #13679 (H,wt=11): 15314 T(K(x,y),K(z,u)) = K(x,y). [hyper(55,a,15313,a)]. given #13680 (H,wt=11): 15332 K(T(x,K(y,z)),u) = K(x,u). [hyper(7600,a,15314,a)]. given #13681 (H,wt=14): 15360 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(15332(a,1),9407(a,1))]. given #13682 (H,wt=15): 15238 K(x,K(y * z,u)) = K(x,K(z * y,u)). [para(13332(a,1),15222(a,1,2))]. given #13683 (H,wt=15): 15239 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(13360(a,1),15222(a,1,2))]. given #13684 (H,wt=15): 15243 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7469(a,1),15223(a,1,2))]. given #13685 (H,wt=15): 15244 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(13364(a,2),15223(a,1,2))]. given #13686 (H,wt=15): 15298 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(9462,a,15231,a)]. given #13687 (H,wt=15): 15319 T(K(x,y),T(z,K(u,w))) = K(x,T(y,z)). [hyper(273,a,7460,a,b,15309,a),flip(a)]. given #13688 (H,wt=15): 15330 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(13589,a,15314,a),flip(a)]. given #13689 (H,wt=15): 15371 K(x,K(y,z * u)) = K(y,K(x,u * z)). [hyper(9429,a,15239,a)]. given #13690 (H,wt=16): 15226 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(15219(a,2),9428(a,1))]. given #13691 (H,wt=16): 15367 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(10010(a,1),15360(a,1,2))]. given #13692 (H,wt=13): 15385 K(x,T(y,T(z,u))) = K(x,T(y,z)). [hyper(15367,a,9077,a),flip(a)]. given #13693 (H,wt=13): 15386 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(15367,a,7460,a),flip(a)]. given #13694 (H,wt=14): 15413 T(K(x,y),T(x,z)) != u | K(x,y) = u. [para(15386(a,2),5385(a,1))]. given #13695 (H,wt=15): 15403 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(110(a,1),15385(a,1,2,2)),flip(a)]. given #13696 (H,wt=15): 15409 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(13368(a,1),15385(a,1,2))]. given #13697 (H,wt=15): 15411 T(K(x,y),T(z,u)) = T(K(x,y),T(z,w)). [hyper(273,a,15386,a,b,15386,a)]. given #13698 (H,wt=16): 15383 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7501(a,2),15226(a,1,2))]. given #13699 (H,wt=16): 15391 T(K(x,y),T(z,u)) != w | K(x,T(y,z)) = w. [para(7460(a,1),15367(a,1))]. given #13700 (H,wt=16): 15414 T(K(x,y),T(z,u)) != w | T(K(x,y),z) = w. [para(15386(a,2),8942(a,1))]. given #13701 (H,wt=17): 15302 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(14628(a,2),15231(a,2,2)),flip(a)]. given #13702 (H,wt=17): 15304 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. [hyper(8485,a,15234,a),flip(a)]. given #13703 (H,wt=17): 15317 T(K(x,y) * z,T(u,z)) = T(K(x,y) * z,u). [hyper(10043,a,15309,a)]. given #13704 (H,wt=17): 15422 K(x,T(y,z / (1 / u))) = K(x,T(y,u * z)). [para(14692(a,2),15409(a,1,2))]. given #13705 (H,wt=18): 15323 T(K(x,y),T(z,K(u,w))) != v5 | K(x,T(y,z)) = v5. [para(15309(a,2),7653(a,1))]. given #13706 (H,wt=18): 15357 K(x,y \ K(z,u)) != w | K(x,K(z,u) / y) = w. [para(15314(a,1),11419(a,1))]. given #13707 (H,wt=18): 15366 K(x,K(T(y,K(z,u)),w)) != v5 | K(x,K(y,w)) = v5. [para(7498(a,2),15360(a,1,2))]. given #13708 (H,wt=18): 15374 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(15239(a,1),9429(a,1))]. given #13709 (H,wt=18): 15375 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(15243(a,2),9423(a,1))]. given #13710 (H,wt=18): 15378 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(15298(a,1),9462(a,1))]. given #13711 (H,wt=18): 15382 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(15371(a,1),9429(a,1))]. given #13712 (H,wt=18): 15384 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(13332(a,1),15226(a,1,2))]. given #13713 (H,wt=18): 15392 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(8781(a,1),15367(a,1,2))]. given #13714 (H,wt=18): 15393 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(13368(a,1),15367(a,1,2))]. given #13715 (H,wt=16): 15434 K(x,T(y,z)) != u | K(x,T(y,z * x)) = u. [para(7584(a,1),15393(a,1))]. given #13716 (H,wt=18): 15394 K(x,T(y,z * (u \ z))) != w | K(x,T(y,u)) = w. [para(15209(a,2),15367(a,1))]. given #13717 (H,wt=18): 15425 T(K(x,y),T(z,u)) != w | T(K(x,y),T(z,v5)) = w. [para(15411(a,1),8920(a,1))]. given #13718 (H,wt=18): 15428 T(K(x,y),z \ u) != w | T(K(x,y),u / z) = w. [para(110(a,1),15414(a,1,2))]. given #13719 (H,wt=19): 15269 T(K(x,y),T(z,u)) = K(y,K(x,T(z,w))) \ K(x,y). [para(15220(a,1),8415(a,1,1)),flip(a)]. given #13720 (H,wt=19): 15297 K(x,T(y,T(z,u))) = K(x,y) * K(y,K(z,T(x,w))). [para(15227(a,2),8676(a,1,2)),flip(a)]. given #13721 (H,wt=19): 15306 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(273,a,8430,a(flip),b,15234,a),flip(a)]. given #13722 (H,wt=19): 15376 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(62,a,11851,a(flip),b,15244,a)]. given #13723 (H,wt=19): 15437 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [para(7460(a,2),15306(a,2,2))]. given #13724 (H,wt=20): 15361 K(x,R(T(y,K(z,u)),w,v5)) != v6 | K(x,R(y,w,v5)) = v6. [para(15332(a,1),9415(a,1))]. given #13725 (H,wt=20): 15431 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(14628(a,2),15378(a,1,2))]. given #13726 (H,wt=20): 15435 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(14692(a,2),15393(a,1,2))]. given #13727 (H,wt=20): 15441 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(15239(a,1),15431(a,1))]. given #13728 (H,wt=21): 15381 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(273,a,14959,a,b,15330,a)]. given #13729 (H,wt=17): 15442 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(273,a,5729,a(flip),b,15381,a),flip(a)]. given #13730 (H,wt=17): 15443 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8959,a,15442,a)]. given #13731 (H,wt=21): 15436 K(x,T(y,T(z \ u,w))) = K(x,y) * K(y,K(u / z,x)). [para(8545(a,1),15297(a,2,2,2))]. given #13732 (H,wt=20): 15445 K(x,T(y,T(z \ u,w))) != v5 | K(x,T(y,u / z)) = v5. [para(15436(a,2),8683(a,1))]. given #13733 (H,wt=22): 15237 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(8635(a,1),15222(a,1,2))]. given #13734 (H,wt=22): 15270 K(x,K(y,T(z,u))) \ K(y,x) != w | T(K(y,x),T(z,v5)) = w. [para(15220(a,1),8417(a,1,1))]. given #13735 (H,wt=22): 15305 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(273,a,11907,a(flip),b,15234,a),flip(a)]. given #13736 (H,wt=22): 15372 K(x,K(y,(z * u) * R(w,z,u))) = K(x,K(y,(w * z) * u)). [para(104(a,1),15239(a,1,2,2)),flip(a)]. given #13737 (H,wt=22): 15377 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(18(a,2),15298(a,2,2,2))]. given #13738 (H,wt=22): 15390 K(x \ y,T((x \ y) * x,z)) != u | K(x \ y,T(y,z)) = u. [para(6730(a,2),15367(a,1))]. given #13739 (H,wt=22): 15438 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(15437(a,2),42(a,1))]. given #13740 (H,wt=22): 15446 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(273,a,15231,a,b,15237,a),flip(a)]. given #13741 (H,wt=22): 15450 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(11(a,1),15446(a,1,2,2,1)),flip(a)]. given #13742 (H,wt=23): 15230 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(62,a,8694,a(flip),b,15222,a)]. given #13743 (H,wt=21): 15452 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(6278(a,1),15230(a,2,2))]. given #13744 (H,wt=19): 15453 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(273,a,9212,a(flip),b,15452,a),flip(a)]. given #13745 (H,wt=19): 15455 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,L(y,u,w))). [hyper(273,a,11881,a(flip),b,15453,a),flip(a)]. given #13746 (H,wt=22): 15454 K(x,1 / L(K(y,z),u,w)) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(15452(a,1),5385(a,1))]. given #13747 (H,wt=22): 15456 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(15453(a,2),11891(a,1))]. given #13748 (H,wt=23): 15447 (K(x,1 / K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [hyper(62,a,14966,a(flip),b,15305,a)]. given #13749 (H,wt=21): 15457 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(z,y))). [para(5370(a,1),15447(a,1,1,1,2))]. given #13750 (H,wt=21): 15458 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [para(8458(a,1),15457(a,1,1,1))]. given #13751 (H,wt=21): 15459 T(K(x,K(y,z)) * u,T(w,u)) = T(u,w) * K(x,K(y,z)). [hyper(212,a,15458,a,b,4642,a)]. given #13752 (H,wt=19): 15461 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [hyper(62,a,15317,a(flip),b,15459,a)]. given #13753 (H,wt=19): 15463 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(15234(a,1),15461(a,1,1))]. given #13754 (H,wt=24): 15300 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(273,a,9337,a,b,15231,a)]. given #13755 (H,wt=22): 15466 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(273,a,9330,a(flip),b,15300,a),flip(a)]. given #13756 (H,wt=22): 15467 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(15375,a,15466,a)]. given #13757 (H,wt=24): 15433 K(x,T(y,z * K(u,z))) != w | K(x,T(y,(z \ u) \ T(u,z))) = w. [para(5250(a,1),15392(a,1,2,2))]. given #13758 (H,wt=24): 15440 K(x,R(y * K(z,u),w,v5)) != v6 | K(x,R(K(z,u) * y,w,v5)) = v6. [para(7411(a,1),15361(a,1,2,1))]. given #13759 (H,wt=24): 15449 K(x \ y,T((x \ y) * x,z)) != u | K(x \ y,T(y,T(z,w))) = u. [para(15385(a,1),15390(a,1))]. given #13760 (H,wt=24): 15468 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(22(a,2),15467(a,1,2,1,1))]. given #13761 (H,wt=25): 15329 K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [para(15309(a,1),14983(a,1,2))]. given #13762 (H,wt=25): 15432 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(104(a,1),15382(a,1,2,2))]. given #13763 (H,wt=25): 15472 K(x,(y * K(z,u)) \ T(w * (K(z,u) * y),K(z,u))) = K(x,T(w,y)). [para(11(a,1),15329(a,1,2,1)),flip(a)]. given #13764 (H,wt=27): 15389 K(x,T(y,R(z \ u,z,z \ w))) != v5 | K(x,T(y,(u * (z \ w)) / w)) = v5. [para(691(a,1),15367(a,1,2,2))]. given #13765 (H,wt=28): 15451 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(9022(a,2),15446(a,1,2))]. given #13766 (H,wt=26): 15475 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7484(a,1),15451(a,1,2))]. given #13767 (H,wt=22): 15476 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [hyper(15456,a,15475,a),flip(a)]. given #13768 (H,wt=25): 15477 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(15475(a,1),15456(a,1))]. given #13769 (H,wt=28): 15460 T(x,y) * z != x * (y * K(u,K(w,v5))) | T(K(u,K(w,v5)) * y,T(x,y)) = z. [para(15458(a,1),213(a,2))]. given #13770 (H,wt=29): 15473 K(x,((K(y,z) \ u) * K(y,z)) \ T(w * u,K(y,z))) = K(x,T(w,K(y,z) \ u)). [para(10(a,1),15472(a,1,2,2,1,2))]. given #13771 (H,wt=25): 15479 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). [hyper(62,a,15063,a(flip),b,15473,a)]. given #13772 (H,wt=25): 15480 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(5388(a,1),15479(a,2,2,2))]. given #13773 (H,wt=30): 15299 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(273,a,11914,a,b,15231,a)]. given #13774 (H,wt=31): 15416 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(273,a,14957,a,b,15403,a)]. given #13775 (H,wt=31): 15464 (x * (T(y,z) * K(u,K(w,v5)))) \ (x * (y * K(u,K(w,v5)))) = K(z,y * K(u,K(w,v5))). [para(15463(a,1),8254(a,1,1,2))]. given #13776 (H,wt=26): 15482 K(x,T(L(y,K(z,K(u,w)),v5),K(z,K(u,w)))) = K(x,y * K(z,K(u,w))). [hyper(62,a,9688,a(flip),b,15464,a)]. given #13777 (H,wt=20): 15483 K(x,L(y,K(z,K(u,w)),v5)) = K(x,y * K(z,K(u,w))). [hyper(15360,a,15482,a)]. given #13778 (H,wt=13): 15484 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(13587,a,15483,a),flip(a)]. given #13779 (H,wt=15): 15486 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(1666(a,1),15484(a,1,2))]. given #13780 (H,wt=15): 15487 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [para(15304(a,1),15484(a,1,2))]. given #13781 (H,wt=21): 15488 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(62,a,15480,a(flip),b,15487,a),flip(a)]. given #13782 (H,wt=21): 15490 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(9452,a,15488,a)]. given #13783 (H,wt=17): 15492 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(62,a,15486,a(flip),b,15490,a),flip(a)]. given #13784 (H,wt=15): 15495 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(273,a,8560,a(flip),b,15492,a),flip(a)]. given #13785 (H,wt=15): 15497 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(15393,a,15495,a)]. given #13786 (H,wt=19): 15503 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). [para(6362(a,1),15495(a,1,2,2)),flip(a)]. given #13787 (H,wt=19): 15511 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(6601(a,1),15497(a,1,2,2))]. given #13788 (H,wt=21): 15512 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(15497(a,1),8548(a,1,1))]. given #13789 (H,wt=23): 15518 K(x,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)). [hyper(273,a,8676,a,b,15503,a),flip(a)]. given #13790 (H,wt=19): 15524 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [hyper(8739,a,15518,a)]. given #13791 (H,wt=15): 15527 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(5374(a,1),15524(a,1,2,2)),flip(a)]. given #13792 (H,wt=17): 15533 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(6421(a,1),15527(a,1,2,2)),flip(a)]. given #13793 (H,wt=19): 15526 K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). [para(5132(a,1),15524(a,1,2,2,2))]. given #13794 (H,wt=19): 15529 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5333(a,2),15524(a,1,2,2))]. given #13795 (H,wt=19): 15530 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(10441(a,1),15524(a,1,2,2))]. given #13796 (H,wt=19): 15534 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(6600(a,2),15527(a,1,2,2))]. given #13797 (H,wt=19): 15535 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(6601(a,1),15527(a,1,2,2))]. given #13798 (H,wt=19): 15536 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6602(a,2),15527(a,1,2,2))]. given #13799 (H,wt=19): 15537 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(9756(a,1),15527(a,1,2,2)),flip(a)]. given #13800 (H,wt=19): 15538 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10814(a,1),15527(a,1,2,2))]. given #13801 (H,wt=19): 15541 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). [hyper(273,a,15239,a,b,15537,a),flip(a)]. given #13802 (H,wt=17): 15547 K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). [para(5118(a,1),15541(a,1,2,2,1)),flip(a)]. given #13803 (H,wt=19): 15546 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(9462,a,15538,a)]. given #13804 (H,wt=19): 15549 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(273,a,8761,a,b,15546,a)]. given #13805 (H,wt=21): 15525 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(15431,a,15524,a)]. given #13806 (H,wt=19): 15555 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(273,a,15302,a(flip),b,15525,a),flip(a)]. given #13807 (H,wt=19): 15556 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(9462,a,15555,a)]. given #13808 (H,wt=19): 15557 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,z / v5)). [hyper(62,a,15549,a,b,15555,a)]. given #13809 (H,wt=19): 15560 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(8590(a,1),15556(a,1,2,2,2)),flip(a)]. given #13810 (H,wt=15): 15561 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [para(11(a,1),15560(a,1,2,2)),flip(a)]. given #13811 (H,wt=15): 15563 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(273,a,8458,a,b,15561,a),flip(a)]. given #13812 (H,wt=15): 15564 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(9439,a,15563,a),flip(a)]. given #13813 (H,wt=15): 15565 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(9423,a,15563,a)]. given #13814 (H,wt=17): 15571 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1666(a,1),15564(a,1,2,1))]. given #13815 (H,wt=18): 15567 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(15563(a,1),9439(a,1))]. given #13816 (H,wt=18): 15576 K(x,K(y,z)) != u | K(x,K(y * K(w,v5),z)) = u. [para(8218(a,1),15567(a,1,2,1))]. given #13817 (H,wt=19): 15574 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(273,a,15564,a,b,15565,a),flip(a)]. given #13818 (H,wt=21): 15542 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1666(a,1),15537(a,1,2,2,1))]. given #13819 (H,wt=21): 15543 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5884(a,1),15537(a,1,2,2,1))]. given #13820 (H,wt=21): 15548 K(x,K(y,(z / T(u,w)) * v5)) = K(x,K(y,v5 * (z / u))). [para(8230(a,1),15541(a,1,2,2,1))]. given #13821 (H,wt=21): 15558 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5891(a,1),15555(a,1,2,2,1))]. given #13822 (H,wt=21): 15568 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(12430(a,1),15563(a,1,2))]. given #13823 (H,wt=21): 15570 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(9449,a,15564,a)]. given #13824 (H,wt=21): 15579 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(15382,a,15543,a)]. given #13825 (H,wt=21): 15580 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(62,a,15546,a(flip),b,15558,a)]. given #13826 (H,wt=21): 15581 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(273,a,9057,a,b,15568,a),flip(a)]. given #13827 (H,wt=21): 15582 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7476(a,1),15570(a,1,2,2,1))]. given #13828 (H,wt=22): 15545 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(15537(a,2),15382(a,1))]. given #13829 (H,wt=20): 15584 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(6411(a,1),15545(a,1,2,2))]. given #13830 (H,wt=22): 15550 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(15546(a,1),9462(a,1))]. given #13831 (H,wt=22): 15551 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(15546(a,2),9462(a,1))]. given #13832 (H,wt=22): 15552 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(273,a,15450,a(flip),b,15549,a),flip(a)]. given #13833 (H,wt=22): 15554 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(15549(a,1),9462(a,1))]. given #13834 (H,wt=22): 15575 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(62,a,15468,a(flip),b,15571,a),flip(a)]. given #13835 (H,wt=22): 15586 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(15239(a,1),15545(a,1))]. given #13836 (H,wt=22): 15590 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(86(a,1),15586(a,1,2,2,2))]. given #13837 (H,wt=23): 15520 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(62,a,8676,a,b,15511,a)]. given #13838 (H,wt=23): 15523 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3639(a,1),15512(a,1,1))]. given #13839 (H,wt=21): 15592 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(62,a,14729,a(flip),b,15523,a),flip(a)]. given #13840 (H,wt=23): 15544 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6670(a,1),15537(a,1,2,2,1))]. given #13841 (H,wt=23): 15559 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6846(a,1),15556(a,1,2,2,2))]. given #13842 (H,wt=23): 15578 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(217(a,1),15542(a,1,2,2,1,1)),flip(a)]. given #13843 (H,wt=23): 15583 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(110(a,1),15580(a,1,2,2,2,1)),flip(a)]. given #13844 (H,wt=23): 15594 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(273,a,8761,a,b,15559,a),flip(a)]. given #13845 (H,wt=23): 15596 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(15382,a,15578,a)]. given #13846 (H,wt=23): 15597 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(15550,a,15594,a)]. given #13847 (H,wt=23): 15598 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(74(a,1),15596(a,1,2,2,2,1,2)),flip(a)]. given #13848 (H,wt=23): 15600 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). [hyper(273,a,15538,a,b,15597,a),flip(a)]. given #13849 (H,wt=23): 15601 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ w)))). [para(5094(a,1),15600(a,1,2,2,2,2)),flip(a)]. given #13850 (H,wt=24): 15566 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(62,a,15299,a,b,15563,a)]. given #13851 (H,wt=24): 15585 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(8230(a,1),15545(a,1,2,2,1))]. given #13852 (H,wt=24): 15602 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(15375,a,15566,a)]. given #13853 (H,wt=23): 15604 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(62,a,14944,a(flip),b,15602,a),flip(a)]. given #13854 (H,wt=23): 15605 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(9423,a,15604,a)]. given #13855 (H,wt=19): 15606 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(62,a,15376,a(flip),b,15605,a),flip(a)]. given #13856 (H,wt=19): 15607 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(77(a,1),15606(a,1,2,2,1,2))]. given #13857 (H,wt=17): 15608 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(62,a,12668,a(flip),b,15607,a),flip(a)]. given #13858 (H,wt=17): 15609 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(62,a,15536,a(flip),b,15608,a),flip(a)]. given #13859 (H,wt=17): 15610 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(9429,a,15609,a)]. given #13860 (H,wt=17): 15611 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(273,a,8440,a,b,15610,a),flip(a)]. given #13861 (H,wt=25): 15539 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(15535(a,2),9051(a,1,1))]. given #13862 (H,wt=26): 15521 K(x,T(y,z / (u \ w))) != K(x,y) * v5 | K(x,K(y,z / (w / u))) = v5. [para(15511(a,1),8739(a,1))]. given #13863 (H,wt=26): 15588 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(62,a,14827,a(flip),b,15575,a)]. given #13864 (H,wt=26): 15591 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(10077(a,1),15586(a,1,2,2,2))]. given #13865 (H,wt=26): 15595 K(x,K(y,z / ((K(u,w) * v5) * v6))) != v7 | K(x,K(y,z / (v5 * v6))) = v7. [para(15559(a,2),9462(a,1))]. given #13866 (H,wt=26): 15599 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(15596(a,1),15382(a,1))]. given #13867 (H,wt=27): 15562 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(15560(a,1),15437(a,1,1))]. given #13868 (H,wt=19): 15612 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(15438,a,15562,a),flip(a)]. given #13869 (H,wt=15): 15613 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [para(11(a,1),15612(a,1,2,2)),flip(a)]. given #13870 (H,wt=21): 15614 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(8230(a,1),15612(a,1,2,2,1))]. given #13871 (H,wt=21): 15615 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(15613(a,1),8548(a,1,1))]. given #13872 (H,wt=19): 15617 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(62,a,14689,a(flip),b,15615,a)]. given #13873 (H,wt=21): 15616 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8933,a,15614,a)]. given #13874 (H,wt=21): 15618 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(62,a,14715,a,b,15617,a)]. given #13875 (H,wt=19): 15622 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(62,a,15592,a(flip),b,15618,a)]. given #13876 (H,wt=23): 15620 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(110(a,1),15616(a,1,2,2,2,2)),flip(a)]. given #13877 (H,wt=26): 15619 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(273,a,11899,a(flip),b,15616,a),flip(a)]. given #13878 (H,wt=27): 15577 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(62,a,11897,a(flip),b,15574,a),flip(a)]. given #13879 (H,wt=23): 15624 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(273,a,15581,a(flip),b,15577,a),flip(a)]. given #13880 (H,wt=20): 15626 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(273,a,10986,a(flip),b,15624,a),flip(a)]. given #13881 (H,wt=16): 15627 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(15567,a,15626,a)]. given #13882 (H,wt=27): 15621 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(15616(a,1),5347(a,1,1)),flip(a)]. given #13883 (H,wt=31): 15481 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6525(a,1),15416(a,1,2,2))]. given #13884 (H,wt=27): 15629 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6902(a,1),15481(a,1,2)),flip(a)]. given #13885 (H,wt=23): 15630 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(273,a,9,a(flip),b,15629,a),flip(a)]. given #13886 (H,wt=25): 15631 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5851,a,15630,a),flip(a)]. given #13887 (H,wt=28): 15633 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(15630(a,1),5851(a,1))]. given #13888 (H,wt=33): 15553 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(850(a,1),15549(a,1,2,2)),flip(a)]. given #13889 (H,wt=33): 15635 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [hyper(273,a,14636,a,b,15553,a),flip(a)]. given #13890 (H,wt=33): 15636 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(15243(a,1),15635(a,2,3))]. given #13891 (H,wt=26): 15637 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,15533,a(flip),b,15636,a)]. given #13892 (H,wt=34): 15593 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(772(a,1),15544(a,1,2,2,1,1)),flip(a)]. given #13893 (H,wt=30): 15639 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(9(a,1),15593(a,1,2,2,1,1)),flip(a)]. given #13894 (H,wt=33): 15640 K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [hyper(15432,a,15639,a)]. given #13895 (H,wt=33): 15642 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(29(a,1),15640(a,1,2,2,2))]. given #13896 (H,wt=35): 15623 K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). [para(15622(a,2),10489(a,2,2))]. given #13897 (H,wt=35): 15643 K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). [para(11881(a,1),15623(a,1,1))]. given #13898 (H,wt=41): 15634 K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). [para(14362(a,1),15631(a,1,1,1,2,1,2))]. given #13899 (H,wt=37): 15644 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(14380(a,1),15634(a,1,1,1))]. given #13900 (H,wt=25): 15645 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(15633,a,15644,a),flip(a)]. given #13901 (H,wt=25): 15646 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(273,a,15511,a,b,15645,a),flip(a)]. given #13902 (H,wt=25): 15647 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(62,a,15620,a,b,15646,a)]. given #13903 (H,wt=23): 15648 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(15435,a,15647,a),flip(a)]. given #13904 (H,wt=27): 15649 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(15648(a,1),15621(a,2,1))]. given #13905 (H,wt=25): 15650 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(273,a,5347,a(flip),b,15649,a),flip(a)]. given #13906 (H,wt=35): 15651 T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). [para(15650(a,1),6968(a,1,1))]. given #13907 (H,wt=27): 15652 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(62,a,6968,a(flip),b,15651,a),flip(a)]. given #13908 (H,wt=38): 15653 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). [para(15652(a,1),14885(a,1,1,1)),flip(a)]. given #13909 (H,wt=27): 15654 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(273,a,14885,a(flip),b,15653,a),flip(a)]. given #13910 (H,wt=27): 15655 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(273,a,7501,a(flip),b,15654,a),flip(a)]. given #13911 (H,wt=27): 15656 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7655,a,15655,a)]. given #13912 (H,wt=25): 15657 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(62,a,15616,a(flip),b,15656,a)]. given #13913 (H,wt=26): 15658 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(62,a,15619,a(flip),b,15657,a),flip(a)]. given #13914 (H,wt=21): 15659 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(62,a,11899,a(flip),b,15658,a)]. given #13915 (H,wt=19): 15660 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(107(a,1),15659(a,1,2,2,1,1)),flip(a)]. given #13916 (H,wt=19): 15663 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(62,a,15511,a(flip),b,15660,a)]. given #13917 (H,wt=23): 15664 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(273,a,8676,a,b,15663,a)]. given #13918 (H,wt=19): 15665 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(33,a,15520,a,b,15664,a)]. given #13919 (H,wt=19): 15666 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(9462,a,15665,a)]. given #13920 (H,wt=19): 15667 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(62,a,15536,a(flip),b,15665,a),flip(a)]. given #13921 (H,wt=19): 15668 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(62,a,15534,a(flip),b,15665,a),flip(a)]. given #13922 (H,wt=19): 15670 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(15382,a,15668,a)]. given #13923 (H,wt=19): 15671 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(10(a,1),15670(a,1,2,2,2,2)),flip(a)]. given #13924 (H,wt=25): 15669 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(15665(a,1),15539(a,1,1))]. given #13925 (H,wt=25): 15672 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(9528,a,15669,a),flip(a)]. given #13926 (H,wt=25): 15674 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(77(a,1),15672(a,1,2,1,2)),flip(a)]. given #13927 (H,wt=25): 15675 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(15384,a,15674,a)]. given #13928 (H,wt=26): 15673 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(62,a,15588,a(flip),b,15672,a),flip(a)]. given #13929 (H,wt=22): 15676 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(10(a,1),15673(a,2,2,2,2))]. given #13930 (H,wt=22): 15677 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(273,a,15549,a,b,15676,a),flip(a)]. given #13931 (H,wt=24): 15680 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(14701(a,1),15677(a,1,2))]. given #13932 (H,wt=25): 15678 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(15676(a,2),15551(a,1))]. given #13933 (H,wt=25): 15681 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(15677(a,2),15551(a,1))]. given #13934 (H,wt=26): 15679 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(62,a,15675,a(flip),b,15677,a)]. given #13935 (H,wt=25): 15683 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(62,a,15680,a(flip),b,15679,a),flip(a)]. given #13936 (H,wt=27): 15682 K(x,K((y / z) / u,L(w,z,y))) != v5 | K(x,K(w,(y * (1 / u)) / z)) = v5. [para(14701(a,1),15678(a,1,2))]. given #13937 (H,wt=28): 15684 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3962(a,2),15679(a,2,2,2,1))]. given #13938 (H,wt=26): 15685 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(14703(a,1),15684(a,1,2))]. given #13939 (H,wt=23): 15686 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(15678,a,15685,a),flip(a)]. given #13940 (H,wt=23): 15688 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,15666,a(flip),b,15686,a)]. given #13941 (H,wt=21): 15689 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(15585,a,15688,a)]. given #13942 (H,wt=21): 15690 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,15598,a,b,15689,a)]. given #13943 (H,wt=21): 15692 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(62,a,15596,a(flip),b,15689,a),flip(a)]. given #13944 (H,wt=21): 15694 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(15554,a,15692,a)]. given #13945 (H,wt=23): 15695 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(62,a,15683,a,b,15692,a)]. given #13946 (H,wt=23): 15700 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(15554,a,15695,a)]. given #13947 (H,wt=24): 15697 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,14962,a,b,15694,a)]. given #13948 (H,wt=22): 15701 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,14828,a(flip),b,15697,a)]. given #13949 (H,wt=25): 15693 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(15599,a,15690,a)]. given #13950 (H,wt=26): 15687 K(x,K(y,(T(z,u) / (1 / u)) / w)) != v5 | K(x,K(y,(z * u) / w)) = v5. [para(15685(a,1),15678(a,1))]. given #13951 (H,wt=26): 15696 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,15377,a(flip),b,15692,a),flip(a)]. given #13952 (H,wt=33): 15698 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(11337(a,1),15694(a,1,2))]. given #13953 (H,wt=33): 15699 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(14851(a,1),15694(a,1,2,2,2,1)),flip(a)]. given #13954 (H,wt=29): 15703 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(273,a,15700,a(flip),b,15699,a),flip(a)]. given #13955 (H,wt=23): 15705 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(62,a,15693,a(flip),b,15703,a)]. given #13956 (H,wt=23): 15706 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(15551,a,15705,a)]. given #13957 (H,wt=23): 15708 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(62,a,15583,a(flip),b,15705,a)]. given #13958 (H,wt=23): 15709 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(9462,a,15708,a)]. given #13959 (H,wt=26): 15711 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,15637,a(flip),b,15709,a),flip(a)]. given #13960 (H,wt=26): 15712 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(15374,a,15711,a)]. given #13961 (H,wt=27): 15710 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(108(a,1),15708(a,1,2,2,2)),flip(a)]. given #13962 (H,wt=23): 15716 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(15585,a,15710,a),flip(a)]. given #13963 (H,wt=23): 15718 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(62,a,15601,a,b,15716,a)]. given #13964 (H,wt=22): 15719 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(15477,a,15718,a),flip(a)]. given #13965 (H,wt=25): 15720 K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(15718(a,1),15477(a,1))]. given #13966 (H,wt=28): 15715 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(12(a,1),15712(a,1,2,2,2,2))]. given #13967 (H,wt=29): 15714 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(15711(a,1),9429(a,1))]. given #13968 (H,wt=30): 15713 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(273,a,14760,a,b,15711,a),flip(a)]. given #13969 (H,wt=26): 15721 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(12(a,1),15713(a,2,2))]. given #13970 (H,wt=35): 15702 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(15443(a,1),15698(a,1,2)),flip(a)]. given #13971 (H,wt=33): 15722 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(273,a,8759,a(flip),b,15702,a),flip(a)]. given #13972 (H,wt=21): 15723 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(62,a,15670,a(flip),b,15722,a),flip(a)]. given #13973 (H,wt=21): 15725 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(273,a,15666,a(flip),b,15723,a),flip(a)]. given #13974 (H,wt=21): 15726 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(15590,a,15725,a)]. given #13975 (H,wt=24): 15727 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(228(a,1),15725(a,1,2,2,2))]. given #13976 (H,wt=20): 15728 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(273,a,15529,a(flip),b,15727,a),flip(a)]. given #13977 (H,wt=28): 15730 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(62,a,15642,a(flip),b,15728,a),flip(a)]. given #13978 (H,wt=25): 15732 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(104(a,1),15730(a,1,2,2)),flip(a)]. given #13979 (H,wt=25): 15733 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(62,a,15530,a,b,15732,a)]. given #13980 (H,wt=27): 15734 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(15584,a,15733,a),flip(a)]. given #13981 (H,wt=25): 15736 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(15584,a,15734,a),flip(a)]. given #13982 (H,wt=24): 15739 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,15696,a(flip),b,15736,a),flip(a)]. given #13983 (H,wt=25): 15737 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(15591,a,15736,a),flip(a)]. given #13984 (H,wt=25): 15738 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(15590,a,15736,a)]. given #13985 (H,wt=27): 15735 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(15441,a,15733,a)]. given #13986 (H,wt=25): 15742 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(273,a,12662,a(flip),b,15735,a),flip(a)]. given #13987 (H,wt=25): 15743 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(273,a,15706,a(flip),b,15742,a),flip(a)]. given #13988 (H,wt=25): 15744 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(9462,a,15743,a)]. given #13989 (H,wt=27): 15741 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(273,a,15579,a(flip),b,15737,a),flip(a)]. given #13990 (H,wt=25): 15746 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6424(a,1),15741(a,1,2,2,2))]. given #13991 (H,wt=21): 15747 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(15586,a,15746,a)]. given #13992 (H,wt=28): 15740 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(62,a,15726,a(flip),b,15739,a)]. given #13993 (H,wt=26): 15748 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(62,a,15747,a(flip),b,15740,a)]. given #13994 (H,wt=21): 15749 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(15720,a,15748,a),flip(a)]. given #13995 (H,wt=19): 15750 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(62,a,14770,a(flip),b,15749,a)]. given #13996 (H,wt=28): 15745 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(14590(a,1),15744(a,1,2)),flip(a)]. given #13997 (H,wt=28): 15751 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(273,a,14719,a,b,15745,a),flip(a)]. given #13998 (H,wt=42): 15448 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) != w | K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = w. [para(7919(a,1),15390(a,1,2))]. given #13999 (H,wt=43): 15589 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(8512(a,1),15575(a,1,2,1))]. given #14000 (H,wt=39): 15752 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(15383,a,15589,a),flip(a)]. given #14001 (H,wt=39): 15753 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(L(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [para(14952(a,1),15752(a,2,2))]. given #14002 (H,wt=39): 15755 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [para(12430(a,1),15753(a,2,2))]. given #14003 (H,wt=34): 15756 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(273,a,15627,a(flip),b,15755,a),flip(a)]. given #14004 (H,wt=30): 15758 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(62,a,15600,a(flip),b,15756,a)]. given #14005 (H,wt=25): 15760 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(62,a,15552,a(flip),b,15758,a)]. given #14006 (H,wt=21): 15761 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(62,a,15582,a(flip),b,15760,a),flip(a)]. given #14007 (H,wt=21): 15762 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(12444,a,15761,a)]. given #14008 (H,wt=23): 15764 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(14659(a,1),15761(a,1,2,2,2))]. given #14009 (H,wt=21): 15766 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(273,a,15750,a(flip),b,15764,a),flip(a)]. given #14010 (H,wt=27): 15765 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [hyper(273,a,14720,a,b,15762,a),flip(a)]. given #14011 (H,wt=21): 15768 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(14721,a,15765,a)]. given #14012 (H,wt=21): 15769 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(5092(a,1),15768(a,1,2)),flip(a)]. given #14013 (H,wt=21): 15770 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(5094(a,1),15768(a,1,2)),flip(a)]. given #14014 (H,wt=25): 15771 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(62,a,12672,a(flip),b,15769,a),flip(a)]. given #14015 (H,wt=25): 15772 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(8443(a,2),15771(a,2,3))]. given #14016 (H,wt=23): 15773 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(12668(a,1),15772(a,2,3))]. given #14017 (H,wt=25): 15774 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(10(a,1),15773(a,1,3,2,2))]. given #14018 (H,wt=25): 15775 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(8443(a,1),15774(a,1,3))]. given #14019 (H,wt=21): 15776 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(10(a,1),15775(a,2,3,2,2))]. given #14020 (H,wt=21): 15777 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(8443(a,1),15776(a,2,3))]. given #14021 (H,wt=21): 15778 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(77(a,1),15777(a,1,2,2))]. given #14022 (H,wt=21): 15779 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(8443(a,2),15778(a,1,3))]. given #14023 (H,wt=21): 15780 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(8443(a,2),15779(a,2,3))]. given #14024 (H,wt=21): 15781 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(62,a,14707,a,b,15780,a)]. given #14025 (H,wt=21): 15782 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(8458(a,1),15781(a,2,3))]. given #14026 (H,wt=31): 15767 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). [para(15766(a,1),15643(a,1,1)),flip(a)]. given #14027 (H,wt=31): 15783 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(8457(a,1),15767(a,2,2))]. given #14028 (H,wt=29): 15785 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). [hyper(273,a,12929,a(flip),b,15783,a),flip(a)]. given #14029 (H,wt=27): 15786 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10489(a,1),15785(a,2,1))]. given #14030 (H,wt=25): 15787 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(273,a,14763,a(flip),b,15786,a),flip(a)]. given #14031 (H,wt=25): 15788 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(15622(a,1),15787(a,1,2))]. given #14032 (H,wt=25): 15789 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(8457(a,1),15788(a,1,3))]. given #14033 (H,wt=21): 15790 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(12464,a,15789,a)]. given #14034 (H,wt=19): 15791 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(156(a,1),15790(a,1,2,1))]. given #14035 (H,wt=19): 15793 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(62,a,15782,a(flip),b,15791,a)]. given #14036 (H,wt=19): 15794 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(273,a,14708,a,b,15793,a),flip(a)]. given #14037 (H,wt=26): 15792 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(62,a,15751,a,b,15791,a)]. given #14038 (H,wt=26): 15795 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(8443(a,1),15792(a,2,3))]. given #14039 (H,wt=46): 15796 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(5825(a,1),15795(a,1,2,2,2,1))]. given #14040 (H,wt=42): 15797 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(7064(a,1),15796(a,1,2))]. given #14041 (H,wt=40): 15798 K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(14686(a,1),15797(a,1,2))]. given #14042 (H,wt=40): 15799 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(6520(a,1),15798(a,1,2,2,1))]. given #14043 (H,wt=38): 15800 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [hyper(62,a,15738,a(flip),b,15799,a)]. given #14044 (H,wt=32): 15801 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(15545,a,15800,a)]. given #14045 (H,wt=30): 15803 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(8263(a,1),15801(a,2,3,2))]. given #14046 (H,wt=24): 15804 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(15527(a,1),15803(a,2,3))]. given #14047 (H,wt=21): 15805 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(62,a,15715,a(flip),b,15804,a)]. given #14048 (H,wt=25): 15807 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(74(a,1),15805(a,1,3,2,1))]. given #14049 (H,wt=25): 15808 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(15671(a,1),15807(a,1,3))]. given #14050 (H,wt=25): 15809 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(8440(a,1),15808(a,1,3))]. given #14051 (H,wt=23): 15810 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(15611(a,1),15809(a,1,3))]. given #14052 (H,wt=21): 15811 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(62,a,14758,a(flip),b,15810,a),flip(a)]. given #14053 (H,wt=21): 15812 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(8458(a,1),15811(a,1,3))]. given #14054 (H,wt=21): 15813 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(62,a,15770,a,b,15812,a)]. given #14055 (H,wt=19): 15814 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(62,a,15794,a(flip),b,15813,a),flip(a)]. given #14056 (H,wt=19): 15815 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(8440(a,1),15814(a,2,3))]. given #14057 (H,wt=24): 15816 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(15714,a,15815,a)]. given #14058 (H,wt=24): 15817 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(8443(a,2),15816(a,2,3))]. given #14059 (H,wt=19): 15818 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(62,a,15721,a(flip),b,15817,a)]. given #14060 (H,wt=19): 15819 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8761(a,1),15818(a,1,3))]. given #14061 (H,wt=19): 15820 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(8458(a,1),15819(a,2,3))]. given #14062 (H,wt=17): 15821 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(62,a,15815,a(flip),b,15820,a),flip(a)]. given #14063 (H,wt=23): 15822 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(15821(a,1),14717(a,1,1))]. given #14064 (H,wt=23): 15823 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(8440(a,1),15822(a,1,2))]. given #14065 (H,wt=17): 15824 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(14789,a,15823,a),flip(a)]. given #14066 (H,wt=17): 15825 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(9529,a,15824,a)]. given #14067 (H,wt=22): 15826 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(273,a,15701,a(flip),b,15825,a),flip(a)]. given #14068 (H,wt=19): 15829 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(15681,a,15826,a)]. given #14069 (H,wt=26): 15828 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6974(a,1),15825(a,1,2)),flip(a)]. given #14070 (H,wt=24): 15830 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,L(z,u,w))). [hyper(273,a,8759,a(flip),b,15828,a),flip(a)]. given #14071 (H,wt=27): 15831 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(15828(a,2),9445(a,1))]. given #14072 (H,wt=35): 15827 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(640(a,1),15825(a,1,2,2)),flip(a)]. given #14073 (H,wt=35): 15832 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [hyper(273,a,15231,a,b,15827,a),flip(a)]. given #14074 (H,wt=35): 15833 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [hyper(273,a,15829,a(flip),b,15832,a),flip(a)]. given #14075 (H,wt=31): 15834 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(273,a,15667,a(flip),b,15833,a),flip(a)]. given #14076 (H,wt=30): 15837 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(8632(a,1),15834(a,2,2))]. given #14077 (H,wt=26): 15839 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(273,a,15222,a(flip),b,15837,a),flip(a)]. given #14078 (H,wt=22): 15841 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(62,a,14828,a(flip),b,15839,a)]. given #14079 (H,wt=19): 15842 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(15831,a,15841,a),flip(a)]. given #14080 (H,wt=16): 15846 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(7126(a,1),15842(a,1,2)),flip(a)]. given #14081 (H,wt=14): 15848 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(273,a,8768,a(flip),b,15846,a),flip(a)]. given #14082 (H,wt=14): 15851 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(12444,a,15848,a)]. given #14083 (H,wt=17): 15855 K(x,K(y,L(z,u,w))) != v5 | K(y,K(x,z)) = v5. [para(15848(a,2),9425(a,1))]. given #14084 (H,wt=17): 15856 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,y)) = v5. [para(15848(a,2),9429(a,1))]. given #14085 (H,wt=19): 15862 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(15851(a,1),14949(a,1,1)),flip(a)]. given #14086 (H,wt=21): 15866 K(x,K(y,z)) * ((x * u) * w) = (T(x,K(y,z)) * u) * w. [para(5178(a,1),15862(a,1,1)),flip(a)]. given #14087 (H,wt=22): 15863 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(z / w) * u)) = v5. [para(15677(a,1),15856(a,1))]. given #14088 (H,wt=28): 15867 x \ (K(y,z) * ((T(x,K(y,z)) * K(z,y)) * u)) = L(u,K(z,y),x * K(y,z)). [para(15866(a,1),11209(a,1,2,2))]. given #14089 (H,wt=24): 15868 x \ (K(y,z) * ((K(z,y) * x) * u)) = L(u,K(z,y),x * K(y,z)). [para(8203(a,1),15867(a,1,2,2,1))]. given #14090 (H,wt=23): 15869 (x * K(y,z)) * (K(z,y) * u) = K(y,z) * ((K(z,y) * x) * u). [hyper(37,a,8235,a,b,15868,a)]. given #14091 (H,wt=26): 15870 (x * y) \ (K(z,u) * ((K(u,z) * x) * y)) = a(x,K(z,u),K(u,z) * y). [para(15869(a,1),5422(a,1,2))]. given #14092 (H,wt=17): 15871 a(x,K(y,z),K(z,y) * u) = a(z,x,K(u,y)). [hyper(62,a,14837,a(flip),b,15870,a),flip(a)]. given #14093 (H,wt=17): 15872 a(x,y,K(K(z,x) * u,z)) = a(y,K(z,x),u). [para(5387(a,1),15871(a,1,3)),flip(a)]. -------- Proof 1 -------- "aK2_eq_aK3 (3142)". ============================== PROOF ================================= % Proof 1 at 2207.34 (+ 105.63) seconds: "aK2_eq_aK3 (3142)". % Length of proof is 12797. % Level of proof is 862. % Maximum clause weight is 65.000. % Given clauses 14093 (16.349 givens/level). 1 a(x,y,z) = 1 -> L(z,y,x) = z # label("Compat 1") # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label("Compat 2") # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label("Compat 3") # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label("Compat 4") # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label("Compat 5") # label(non_clause). [assumption]. 6 a(x,K(y,z),u) = a(z,x,K(u,y)) # label("aK2_eq_aK3 (3142)") # label(non_clause) # label(goal). [goal]. 7 1 * x = x. [assumption]. 8 x * 1 = x. [assumption]. 9 x \ (x * y) = y. [assumption]. 10 x * (x \ y) = y. [assumption]. 11 (x * y) / y = x. [assumption]. 12 (x / y) * y = x. [assumption]. 13 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 14 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(13),flip(a)]. 15 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 16 K(x,y) = (y * x) \ (x * y). [copy(15),flip(a)]. 17 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 18 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(17),flip(a)]. 19 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 20 R(x,y,z) = ((x * y) * z) / (y * z). [copy(19),flip(a)]. 21 x \ (y * x) = T(y,x). [assumption]. 22 T(x,y) = y \ (x * y). [copy(21),flip(a)]. 23 T(T(x,y),z) = T(T(x,z),y). [assumption]. 24 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 25 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(24),flip(a)]. 26 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 27 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(26),flip(a)]. 28 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 29 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(28),flip(a)]. 30 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 31 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 32 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [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 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 36 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 37 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 38 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 39 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 40 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 41 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 42 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 43 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 44 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 45 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 46 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 47 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 48 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 49 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 50 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 51 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. 52 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. 53 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. 54 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. 55 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. 56 x != y | x * z = y * z # label("Aux 1"). [assumption]. 57 x != y | z * x = z * y # label("Aux 2"). [assumption]. 58 x != y | x / z = y / z # label("Aux 3"). [assumption]. 59 x != y | z / x = z / y # label("Aux 4"). [assumption]. 60 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 61 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 62 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 63 a(c3,c1,K(c4,c2)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3 (3142)") # answer("aK2_eq_aK3 (3142)"). [deny(6)]. 64 1 \ x = x. [para(7(a,1),9(a,1,2))]. 65 x \ (1 * (x * y)) = y. [para(7(a,2),9(a,1,2))]. 66 x \ x = 1. [para(8(a,1),9(a,1,2))]. 67 x \ (x * (y \ (y * z))) = z. [para(9(a,2),9(a,1))]. 68 (x * (x \ 1)) * y = y. [para(10(a,2),7(a,1,1))]. 69 x * (y * (y \ 1)) = x. [para(10(a,2),8(a,1,2))]. 70 x * (y * (y \ (x \ z))) = z. [para(10(a,2),10(a,1,2))]. 71 x / x = 1. [para(7(a,1),11(a,1,1))]. 72 x / 1 = x. [para(8(a,1),11(a,1,1))]. 73 x * (((x \ y) * z) / z) = y. [para(11(a,2),10(a,1,2))]. 74 x / (y \ x) = y. [para(10(a,1),11(a,1,1))]. 75 ((1 / x) * x) * y = y. [para(12(a,2),7(a,1,1))]. 76 x * ((1 / y) * y) = x. [para(12(a,2),8(a,1,2))]. 77 (x / y) \ x = y. [para(12(a,1),9(a,1,2))]. 78 x \ (((x * y) / z) * z) = y. [para(12(a,2),9(a,1,2))]. 79 (x \ (x * (y / z))) * z = y. [para(9(a,2),12(a,1,1))]. 80 ((x * (x \ y)) / z) * z = y. [para(12(a,2),10(a,1))]. 81 (((x * y) / z) * z) / y = x. [para(12(a,2),11(a,1,1))]. 82 (((x / y) / z) * z) * y = x. [para(12(a,2),12(a,1,1))]. 83 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(14(a,2),10(a,1,2))]. 84 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(10(a,1),14(a,2,2,1)),flip(a)]. 85 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(12(a,1),14(a,2,2,1)),flip(a)]. 86 (x * y) * K(y,x) = y * x. [para(16(a,2),10(a,1,2))]. 87 x \ ((y \ x) * y) = K(y \ x,y). [para(10(a,1),16(a,2,1)),flip(a)]. 88 ((x \ y) * x) \ y = K(x,x \ y). [para(10(a,1),16(a,2,2)),flip(a)]. 89 x \ (y * (x / y)) = K(y,x / y). [para(12(a,1),16(a,2,1)),flip(a)]. 90 (x * (y / x)) \ y = K(y / x,x). [para(12(a,1),16(a,2,2)),flip(a)]. 91 x \ (1 * (x * y)) = L(y,x,1). [para(7(a,1),18(a,2,1)),flip(a)]. 92 (x * 1) \ (x * y) = L(y,1,x). [para(7(a,1),18(a,2,2,2)),flip(a)]. 93 (x * y) \ (x * y) = L(1,y,x). [para(8(a,1),18(a,2,2,2)),flip(a)]. 94 (x * y) * L(z,y,x) = x * (y * z). [para(18(a,2),10(a,1,2))]. 95 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(10(a,1),18(a,2,1)),flip(a)]. 96 L(x \ y,x,z) = (z * x) \ (z * y). [para(10(a,1),18(a,2,2,2))]. 97 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(12(a,1),18(a,2,1)),flip(a)]. 98 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(12(a,1),18(a,2,2,2))]. 99 (x * y) / (x * y) = R(1,x,y). [para(7(a,1),20(a,2,1,1)),flip(a)]. 100 ((x * 1) * y) / y = R(x,1,y). [para(7(a,1),20(a,2,2)),flip(a)]. 101 (x * y) / (y * 1) = R(x,y,1). [para(8(a,1),20(a,2,1)),flip(a)]. 102 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(10(a,1),20(a,2,1,1))]. 103 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(10(a,1),20(a,2,1))]. 104 R(x,y,z) * (y * z) = (x * y) * z. [para(20(a,2),12(a,1,1))]. 105 R(x / y,y,z) = (x * z) / (y * z). [para(12(a,1),20(a,2,1,1))]. 106 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(12(a,1),20(a,2,2)),flip(a)]. 107 T(x,x) = x. [para(22(a,2),9(a,1))]. 108 x * T(y,x) = y * x. [para(22(a,2),10(a,1,2))]. 109 T(x,x \ y) = (x \ y) \ y. [para(10(a,1),22(a,2,2))]. 110 T(x / y,y) = y \ x. [para(12(a,1),22(a,2,2))]. 111 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(27(a,2),23(a,1,1)),flip(a)]. 112 (x * y) * ((1 / x) * z) = x * ((y / x) * z). [para(12(a,1),32(a,1,1,2))]. 113 x != y | 1 * z != y | x = z. [para(7(a,1),33(a,1))]. 114 1 * x != y | z != y | x = z. [para(7(a,1),33(b,1))]. 115 x != y | z * u != y | z \ x = u. [para(10(a,1),33(a,1))]. 116 x != y | z * u != y | x / u = z. [para(12(a,1),34(a,1))]. 117 1 * x != y | x = y. [para(7(a,1),42(a,2))]. 118 x * y != x | 1 = y. [para(8(a,1),42(a,1)),flip(a)]. 120 (x * y) * 1 != x * z | z = y. [para(8(a,2),42(a,2)),flip(a)]. 122 x * y != z | x \ z = y. [para(10(a,1),42(a,1)),flip(a)]. 123 (x / y) * z != x | z = y. [para(12(a,1),42(a,2))]. 125 x * 1 != y | x = y. [para(8(a,1),43(a,2))]. 126 x \ (x * (y * z)) != u * z | u = y. [para(9(a,2),43(a,2)),flip(a)]. 127 x * (y \ z) != z | x = y. [para(10(a,1),43(a,2))]. 128 x * y != z | z / y = x. [para(12(a,1),43(a,1)),flip(a)]. 129 x / y != z | z * y = x. [para(11(a,1),45(a,1)),flip(a)]. 130 R(x,y,z) != u / (y * z) | (x * y) * z = u. [para(20(a,2),45(a,1))]. 131 x \ y != z | x * z = y. [para(9(a,1),46(a,1)),flip(a)]. 132 T(x,y) != y \ z | x * y = z. [para(22(a,2),46(a,1))]. 133 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(18(a,2),47(a,1)),flip(a)]. 134 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(23(a,1),48(a,1))]. 135 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(25(a,2),48(a,1)),flip(a)]. 136 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(27(a,2),48(a,1)),flip(a)]. 138 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(29(a,2),49(a,1))]. 140 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(27(a,1),50(a,1))]. 141 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(29(a,1),50(a,1)),flip(a)]. 142 ((x / y) * y) * z = x * z. [hyper(56,a,12,a)]. 143 (x * (x \ y)) * z = y * z. [hyper(56,a,10,a)]. 144 x * (y * (y \ z)) = x * z. [hyper(57,a,10,a)]. 145 ((x / y) * y) / z = x / z. [hyper(58,a,12,a)]. 146 (x * (x \ y)) \ z = y \ z. [hyper(60,a,10,a)]. 147 (x * y) / y = (x / z) * z. [hyper(62,a,12,a,b,11,a(flip)),flip(a)]. 148 (x / y) * y = z * (z \ x). [hyper(62,a,12,a,b,10,a(flip))]. 149 (x / y) * y = x * 1. [hyper(62,a,12,a,b,8,a(flip))]. 150 x \ (x * y) = z * (z \ y). [hyper(62,a,10,a,b,9,a(flip)),flip(a)]. 151 x * (x \ y) = y * 1. [hyper(62,a,10,a,b,8,a(flip))]. 152 1 \ (x * 1) = x. [hyper(62,a,64,a,b,8,a)]. 153 (x * (x \ 1)) \ y = y. [para(10(a,2),64(a,1,1))]. 154 ((1 / x) * x) \ y = y. [para(12(a,2),64(a,1,1))]. 155 1 \ x != y | x = y. [para(64(a,1),46(a,2))]. 156 K(x,x) = 1. [hyper(62,a,16,a,b,66,a)]. 157 x / (y * (y \ 1)) = x. [para(10(a,2),72(a,1,2))]. 158 x / ((1 / y) * y) = x. [para(12(a,2),72(a,1,2))]. 159 T(x,R(x,y,z)) = x. [hyper(41,a,27,a,b,107,a(flip))]. 160 T(x,L(x,y,z)) = x. [hyper(40,a,25,a,b,107,a(flip))]. 161 T(x,T(x,y)) = x. [hyper(39,a,23,a,b,107,a(flip))]. 162 T(T(x,y),x) = T(x,y). [para(107(a,1),23(a,1,1)),flip(a)]. 163 x / (y \ x) = z / (y \ z). [hyper(62,a,74,a,b,74,a(flip))]. 164 x / (y \ x) = (y / z) * z. [hyper(62,a,74,a,b,12,a(flip))]. 165 x / (y \ x) = z * (z \ y). [hyper(62,a,74,a,b,10,a(flip))]. 166 (x / (y \ x)) * z = y * z. [hyper(56,a,74,a)]. 167 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(35,a,20,a(flip),b,74,a),flip(a)]. 168 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(14(a,2),74(a,1,2))]. 169 (x * (y * z)) / L(z,y,x) = x * y. [para(18(a,2),74(a,1,2))]. 170 (x * y) / T(x,y) = y. [para(22(a,2),74(a,1,2))]. 171 x / y != z | z \ x = y. [para(74(a,1),44(a,1)),flip(a)]. 172 x / (y / ((z \ x) \ y)) = z. [para(74(a,2),74(a,1,2))]. 173 ((x / y) \ x) * z = y * z. [hyper(56,a,77,a)]. 174 x * ((y / (x \ z)) \ y) = z. [hyper(37,a,9,a,b,77,a(flip))]. 175 ((x / (y / z)) \ x) \ y = z. [hyper(35,a,74,a,b,77,a(flip))]. 176 x \ y != z | y / z = x. [para(77(a,1),47(a,1)),flip(a)]. 177 T(x,1) = x. [hyper(62,a,22,a,b,152,a)]. 178 K(x,1) = 1. [hyper(54,a,177,a)]. 179 T(1,x) = 1. [hyper(53,a,177,a)]. 180 T(x,1) != y | y = x. [para(177(a,1),48(a,1)),flip(a)]. 181 T(x,y \ y) = x. [para(66(a,2),177(a,1,2))]. 182 K(1,x) = 1. [hyper(54,a,179,a)]. 183 T(x,T(T(x,y),z)) = x. [hyper(39,a,23,a,b,161,a(flip))]. 184 T(x,y \ y) != z | x = z. [para(181(a,1),48(a,2))]. 185 x * (y * (y \ 1)) != z | x = z. [para(10(a,2),125(a,1,2))]. 186 ((1 / x) * x) \ y != z | y = z. [para(12(a,2),155(a,1,1))]. 187 T(x,R(T(x,y),z,u)) = x. [hyper(39,a,23,a,b,159,a(flip))]. 188 T(x,L(L(x,y,z),u,w)) = x. [hyper(40,a,25,a,b,160,a(flip))]. 189 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(68(a,1),20(a,2,1))]. 191 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(69(a,1),14(a,2,1)),flip(a)]. 192 L(x \ 1,x,y) = (y * x) \ y. [para(69(a,1),18(a,2,2))]. 193 R(1 / x,x,y) = y / (x * y). [para(75(a,1),20(a,2,1))]. 194 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(76(a,1),14(a,2,1)),flip(a)]. 195 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(76(a,1),18(a,2,2))]. 196 x * T(y / x,x) = y. [hyper(62,a,108,a,b,12,a)]. 197 (x \ y) * T(x,x \ y) = y. [hyper(62,a,108,a,b,10,a)]. 198 T((x * y) / x,x) = y. [hyper(33,a,12,a(flip),b,108,a),flip(a)]. 199 (x * T(y,x)) / x = y. [hyper(34,a,12,a,b,108,a(flip))]. 200 x \ (y * T(x,y)) = y. [hyper(33,a,10,a,b,108,a(flip))]. 201 x * (y * (y \ T(z,x))) = z * x. [para(10(a,2),108(a,1,2))]. 202 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(108(a,1),14(a,2,1,2)),flip(a)]. 203 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(108(a,1),14(a,2,2,1)),flip(a)]. 204 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(108(a,1),14(a,2,2)),flip(a)]. 205 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(108(a,1),16(a,2,1)),flip(a)]. 206 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(108(a,1),18(a,2,1)),flip(a)]. 207 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(108(a,1),18(a,2,2,2)),flip(a)]. 208 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(108(a,1),20(a,2,1,1)),flip(a)]. 209 x * T(T(y,x),z) = T(y,z) * x. [para(23(a,1),108(a,1,2))]. 210 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(25(a,2),108(a,1,2))]. 211 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(27(a,2),108(a,1,2))]. 212 x * y != z | y * u != z | T(x,y) = u. [para(108(a,1),33(a,1))]. 213 x * y != z * x | T(z,x) = y. [para(108(a,1),42(a,1)),flip(a)]. 214 x * T(y,x) != z * x | y = z. [para(108(a,2),43(a,1))]. 215 x * T(y,x) != z * x | z = y. [para(108(a,2),43(a,2)),flip(a)]. 216 T(x,y) * x = x * T(x,y). [para(161(a,1),108(a,1,2))]. 217 T(x / (x / y),x / y) = y. [hyper(62,a,110,a,b,77,a)]. 218 T(T(x / y,z),y) = T(y \ x,z). [para(110(a,1),23(a,1,1)),flip(a)]. 219 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(110(a,1),25(a,1,1)),flip(a)]. 220 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(110(a,1),27(a,1,1)),flip(a)]. 221 x * 1 != y * z | x / z = y. [para(149(a,1),43(a,1))]. 222 (x / y) * y != z | x = z. [para(149(a,2),125(a,1))]. 223 x \ (y * (y \ x)) = 1. [hyper(33,a,10,a,b,151,a(flip))]. 224 x * 1 != y * z | y \ x = z. [para(151(a,1),42(a,1))]. 225 x * (x \ y) != z | y = z. [para(151(a,2),125(a,1))]. 226 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(62,a,18,a,b,153,a),flip(a)]. 227 K(x \ 1,x) = (x \ 1) * x. [hyper(62,a,16,a,b,153,a)]. 228 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(62,a,18,a,b,154,a),flip(a)]. 229 K(x,1 / x) = x * (1 / x). [hyper(62,a,16,a,b,154,a)]. 230 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(62,a,14,a,b,154,a),flip(a)]. 232 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(62,a,20,a,b,157,a),flip(a)]. 233 x / (y * (y \ 1)) != z | z = x. [para(157(a,1),45(a,1)),flip(a)]. 234 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(62,a,20,a,b,158,a),flip(a)]. 235 K(T(x,y),x) = 1. [hyper(54,a,162,a)]. 236 x / T(y,y \ x) = y \ x. [para(10(a,1),170(a,1,1))]. 237 (T(x,y) * z) / T(T(x,z),y) = z. [para(23(a,1),170(a,1,2))]. 238 (R(x,y,z) * u) / R(T(x,u),y,z) = u. [para(27(a,2),170(a,1,2))]. 239 (x * y) / z != y | T(x,y) = z. [para(170(a,1),44(a,1)),flip(a)]. 240 (x * y) / T(y,T(x,y)) = T(x,y). [para(108(a,1),170(a,1,1))]. 241 K(x,T(T(x,y),z)) = 1. [hyper(54,a,183,a)]. 243 (x * T(T(y,x),z)) / x = T(y,z). [hyper(39,a,23,a,b,198,a),flip(a)]. 244 T(T((x * y) / x,z),x) = T(y,z). [para(198(a,1),23(a,1,1)),flip(a)]. 245 T(x,y) != z | (y * z) / y = x. [para(198(a,1),48(a,1)),flip(a)]. 246 T((x * y) / x,y) = (x * y) / x. [para(198(a,1),161(a,1,2))]. 247 K(x,(y * x) / y) = 1. [para(198(a,1),235(a,1,1))]. 248 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(25(a,2),200(a,1,2,2))]. 249 T(x,(y * x) / y) = x. [hyper(55,a,247,a)]. 251 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(20(a,2),222(a,1,1))]. 252 x * T(y,x) != z | y * x = z. [para(170(a,1),222(a,1,1))]. 253 x * y != z | y * T(x,y) = z. [para(199(a,1),222(a,1,1))]. 255 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(18(a,2),225(a,1,2))]. 256 L(x \ (y \ z),x,y) = (y * x) \ z. [para(70(a,1),18(a,2,2))]. 258 (R(x,y,z) * (y * z)) / z = x * y. [para(20(a,2),81(a,1,1,1))]. 259 R((x / y) / z,z,y) = x / (z * y). [para(82(a,1),20(a,2,1))]. 260 x * K(y \ x,y) = (y \ x) * y. [para(10(a,1),86(a,1,1))]. 261 x * K(y,x / y) = y * (x / y). [para(12(a,1),86(a,1,1))]. 262 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(86(a,1),18(a,2,2,2)),flip(a)]. 263 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(86(a,1),20(a,2,1)),flip(a)]. 264 (x * y) * z != y * x | K(y,x) = z. [para(86(a,1),42(a,1)),flip(a)]. 265 (x * y) * K(y,x) != y * z | x = z. [para(86(a,2),42(a,1))]. 267 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(61,a,109,a)]. 268 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(59,a,109,a)]. 269 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(57,a,109,a)]. 270 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(56,a,109,a)]. 271 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(109(a,1),23(a,1,1)),flip(a)]. 273 x != y | z != y | x = z. [para(7(a,1),113(b,1))]. 274 ((x / y) * y) * z != u | x \ u = z. [para(142(a,2),122(a,1))]. 275 (x / (y * (y \ z))) * z = x. [hyper(222,a,144,a),flip(a)]. 276 x / (y \ ((x / z) * z)) = y. [hyper(62,a,74,a(flip),b,145,a),flip(a)]. 278 x / y != (z / u) * u | z * y = x. [para(147(a,1),45(a,1)),flip(a)]. 279 ((x / y) * y) * z != u | x * z = u. [para(147(a,1),222(a,1,1))]. 280 (x * y) / y != z | x = z. [para(147(a,2),222(a,1))]. 281 x / x != y | 1 = y. [para(7(a,1),280(a,1,1))]. 282 x / K(y,y \ x) = (y \ x) * y. [hyper(34,a,86,a,b,148,a),flip(a)]. 283 (x / y) * y != z * u | z \ x = u. [para(148(a,2),42(a,1))]. 284 x * (x \ y) != z * u | y / u = z. [para(148(a,1),43(a,1))]. 287 x * (y * (y \ z)) != u | x * z = u. [para(150(a,1),225(a,1,2))]. 288 x \ (x * y) != z | y = z. [para(150(a,2),225(a,1))]. 289 x \ x != y | 1 = y. [para(8(a,1),288(a,1,2))]. 290 (x / y) \ x != z | y = z. [para(12(a,1),288(a,1,2))]. 291 x \ (y * x) != z | T(y,x) = z. [para(108(a,1),288(a,1,2))]. 292 T((x * y) / x,x) != z | y = z. [para(110(a,2),288(a,1))]. 294 (x * y) \ (y * x) != z | K(y,x) = z. [para(86(a,1),288(a,1,2))]. 295 x \ ((y / (x \ y)) * z) = z. [hyper(35,a,11,a,b,163,a),flip(a)]. 297 (x * (x \ y)) \ z != u | y \ z = u. [para(165(a,1),290(a,1,1))]. 298 ((x / y) \ x) * (y \ z) = z. [hyper(273,a,10,a(flip),b,173,a),flip(a)]. 299 x * (((y / x) \ y) \ z) = z. [hyper(225,a,173,a),flip(a)]. 300 ((x / y) \ x) * z != u | y \ u = z. [para(173(a,2),122(a,1))]. 301 (x / y) * ((z / y) \ z) = x. [para(77(a,1),174(a,1,2,1,2))]. 303 (x \ y) * z != y | T(x,x \ y) = z. [para(197(a,1),42(a,1)),flip(a)]. 306 T(x / (x / y),(z / (x / y)) \ z) = y. [para(77(a,2),217(a,1,2))]. 307 x * T(x \ 1,x) = K(x \ 1,x). [hyper(273,a,108,a,b,227,a)]. 308 K(x \ 1,x) / x = x \ 1. [hyper(128,a,227,a(flip))]. 309 (x \ 1) \ K(x \ 1,x) = x. [hyper(122,a,227,a(flip))]. 310 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(227(a,2),14(a,2,1,2)),flip(a)]. 312 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(27(a,2),236(a,1,2))]. 314 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(20(a,2),275(a,1,1))]. 315 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(236(a,1),298(a,1,1,1))]. 316 x * ((y / z) \ y) != u | u / z = x. [para(301(a,1),43(a,1)),flip(a)]. 317 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(236(a,1),301(a,1,2,1))]. 319 (x \ 1) * x != y | K(x \ 1,x) = y. [para(308(a,1),222(a,1,1))]. 320 L(x,y,1) = x. [hyper(62,a,65,a(flip),b,91,a),flip(a)]. 322 L(x,y,1) = z \ (z * x). [hyper(273,a,9,a,b,320,a),flip(a)]. 323 x \ (x * y) = L(y,1,x). [para(8(a,1),92(a,1,1))]. 324 L(x,1,y) = x. [hyper(288,a,323,a),flip(a)]. 325 L(x,1,y) != z | x = z. [para(323(a,1),288(a,1))]. 327 L(x,1,y) != z | z = x. [para(324(a,1),49(a,1)),flip(a)]. 328 x \ (x * y) != z | z = y. [para(322(a,1),327(a,1))]. 329 x * (x \ y) != z | z = y. [para(150(a,1),328(a,1))]. 330 (x / y) * y != z | z = x. [para(77(a,1),329(a,1,2))]. 331 x / (y \ x) != z | z = y. [para(165(a,2),329(a,1))]. 332 (x * y) / y != z | z = x. [para(147(a,2),330(a,1))]. 333 (x * T(y,x)) / x != z | z = y. [para(200(a,1),331(a,1,2))]. 334 L(1,x,y) = 1. [hyper(289,a,93,a),flip(a)]. 337 R(1,x,y) = 1. [hyper(281,a,99,a),flip(a)]. 340 (x * y) / y = R(x,1,y). [para(8(a,1),100(a,1,1,1))]. 341 R(x,1,y) = x. [hyper(332,a,340,a)]. 344 (x * y) / y = R(x,y,1). [para(8(a,1),101(a,1,2))]. 345 R(x,y,1) = x. [hyper(332,a,344,a)]. 348 x * y != x * z | z = y. [para(8(a,1),120(a,1))]. 349 K(x,1 / x) != y | x * (1 / x) = y. [para(16(a,2),186(a,1))]. 350 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(18(a,2),186(a,1))]. 351 L(x \ 1,x,1 / x) = 1 / x. [hyper(273,a,154,a(flip),b,192,a),flip(a)]. 352 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(273,a,146,a(flip),b,192,a),flip(a)]. 353 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(60,a,192,a)]. 354 x / L(y \ 1,y,x) = x * y. [hyper(176,a,192,a(flip))]. 355 (x * y) * L(y \ 1,y,x) = x. [hyper(131,a,192,a(flip))]. 356 L(x \ 1,x,y / x) = y \ (y / x). [para(12(a,1),192(a,2,1))]. 357 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(192(a,1),25(a,2,1)),flip(a)]. 358 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(192(a,1),29(a,1,1))]. 359 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(192(a,1),30(a,1,1)),flip(a)]. 360 R(1 / x,x,x \ 1) = x \ 1. [hyper(273,a,157,a(flip),b,193,a),flip(a)]. 361 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(56,a,193,a)]. 362 R(1 / x,x,y) \ y = x * y. [hyper(171,a,193,a(flip))]. 363 R(1 / x,x,x \ y) = (x \ y) / y. [para(10(a,1),193(a,2,2))]. 364 R(1 / (x / y),x / y,y) = y / x. [para(12(a,1),193(a,2,2))]. 365 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(193(a,1),27(a,2,1)),flip(a)]. 366 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(193(a,1),31(a,1,1)),flip(a)]. 367 R(1 / x,x,T(y,x)) = T(y,x) / (y * x). [para(108(a,1),193(a,2,2))]. 369 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(9(a,2),213(a,2)),flip(a)]. 370 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(108(a,1),213(a,2))]. 373 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(23(a,1),214(a,1,2))]. 376 (x / y) * y != z * u | x / u = z. [para(149(a,2),221(a,1))]. 377 x * (y * (y \ 1)) != z * u | z \ x = u. [para(10(a,2),224(a,1,2))]. 378 x * (x \ y) != z * u | z \ y = u. [para(151(a,2),224(a,1))]. 379 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(23(a,1),252(a,1,2))]. 380 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(25(a,2),252(a,1,2))]. 383 T(x / y,y) != z | y \ x = z. [para(10(a,1),292(a,1,1,1))]. 384 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(351(a,1),25(a,2,1))]. 385 x / y != x * z | L(z \ 1,z,x) = y. [para(354(a,1),44(a,1)),flip(a)]. 386 x / L(y,1 / y,x) = x * (1 / y). [para(77(a,1),354(a,1,2,1))]. 387 (x * y) * z != x | L(y \ 1,y,x) = z. [para(354(a,1),123(a,1,1)),flip(b)]. 388 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(354(a,1),290(a,1,1))]. 389 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(354(a,1),298(a,1,1,1))]. 390 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(354(a,1),299(a,1,2,1,1))]. 391 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(355(a,1),18(a,2,2,2))]. 392 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(74(a,1),362(a,1,1,1))]. 393 x / (y * x) != z | R(1 / y,y,x) = z. [para(362(a,1),331(a,1,2)),flip(b)]. 394 T(x,x \ y) != z | (x \ y) \ y = z. [para(74(a,1),383(a,1,1))]. 395 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(170(a,1),383(a,1,1))]. 396 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(236(a,1),383(a,1,1))]. 397 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(9(a,1),87(a,2,1)),flip(a)]. 398 K(x \ 1,x) != y | (x \ 1) * x = y. [para(87(a,1),155(a,1))]. 399 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(108(a,2),87(a,1,2))]. 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(227(a,2),88(a,1,1))]. 402 K(x,1 / x) \ 1 = K(1 / x,x). [para(229(a,2),90(a,1,1))]. 403 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(115,a,20,a,b,157,a(flip))]. 404 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(115,a,18,a,b,154,a(flip))]. 405 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(115,a,18,a,b,153,a(flip))]. 407 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(116,a,192,a,b,7,a)]. 408 R(x,1 / y,y) / y = x * (1 / y). [hyper(116,a,20,a,b,158,a(flip))]. 409 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(116,a,20,a,b,157,a(flip))]. 410 L(x,y,1 / y) / (y * x) = 1 / y. [hyper(116,a,18,a,b,154,a(flip))]. 411 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(116,a,192,a(flip),b,7,a)]. 412 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(201(a,1),18(a,2,2))]. 413 x * T(x \ (y * x),z) = T(y,z) * x. [para(22(a,1),209(a,1,2,1))]. 414 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(23(a,1),209(a,1,2,1))]. 416 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(161(a,1),209(a,1,2,1))]. 417 T(x / y,z) * y = y * T(y \ x,z). [para(110(a,1),209(a,1,2,1)),flip(a)]. 418 T((x * y) / x,z) * x = x * T(y,z). [para(198(a,1),209(a,1,2,1)),flip(a)]. 419 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(109(a,1),209(a,1,2,1))]. 420 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(245,a,218,a)]. 422 (x * T(y,z)) / x = T((x * y) / x,z). [para(198(a,1),243(a,1,1,2,1))]. 423 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(217(a,1),243(a,1,1,2,1))]. 424 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(243(a,1),292(a,1,1))]. 425 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(244(a,1),48(a,2)),flip(b)]. 426 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(109(a,1),244(a,1,1))]. 427 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(244(a,1),214(a,1,2))]. 428 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(244(a,1),333(a,1,1,2)),flip(b)]. 429 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(260(a,1),18(a,2,2,2)),flip(a)]. 430 (x \ y) * x != y * z | K(x \ y,x) = z. [para(260(a,1),42(a,1))]. 431 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(260(a,1),288(a,1,2))]. 434 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(261(a,1),288(a,1,2))]. 435 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(273,a,227,a,b,282,a),flip(a)]. 436 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(115,a,94,a,b,xx)]. 437 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(62,a,143,a(flip),b,94,a)]. 438 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(62,a,142,a(flip),b,94,a)]. 439 L(x \ T(y * x,y),x,y) = y. [hyper(33,a,201,a(flip),b,94,a),flip(a)]. 440 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(33,a,70,a(flip),b,94,a),flip(a)]. 441 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(116,a,94,a(flip),b,108,a)]. 442 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(115,a,94,a(flip),b,108,a)]. 443 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(94(a,1),18(a,2,1)),flip(a)]. 444 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(94(a,1),18(a,2,2,2)),flip(a)]. 445 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(94(a,1),20(a,2,1,1)),flip(a)]. 446 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(94(a,1),20(a,2,1)),flip(a)]. 447 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(25(a,1),94(a,1,2))]. 448 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(29(a,2),94(a,1,2))]. 449 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(30(a,1),94(a,1,2))]. 450 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(94(a,1),42(a,1)),flip(a)]. 452 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(108(a,1),94(a,1,1))]. 453 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(94(a,1),288(a,1,2))]. 454 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(227(a,2),94(a,1,1))]. 455 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(273,a,154,a(flip),b,96,a),flip(a)]. 456 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(273,a,153,a(flip),b,96,a),flip(a)]. 457 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(273,a,146,a(flip),b,96,a),flip(a)]. 458 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(273,a,89,a(flip),b,96,a),flip(a)]. 459 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(12(a,1),96(a,2,1))]. 460 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(12(a,1),96(a,2,2))]. 461 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(14(a,2),96(a,1,1)),flip(a)]. 462 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(108(a,1),96(a,2,1))]. 463 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(229(a,2),96(a,2,2))]. 464 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(94(a,1),96(a,2,1))]. 465 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(94(a,1),96(a,2,2))]. 466 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(115,a,143,a(flip),b,104,a)]. 467 R(x / y,y,z) \ (x * z) = y * z. [hyper(115,a,142,a(flip),b,104,a)]. 468 R(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y). [hyper(115,a,108,a(flip),b,104,a)]. 469 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(115,a,104,a(flip),b,94,a)]. 470 R(x,y / z,z) * y = (x * (y / z)) * z. [para(12(a,1),104(a,1,2))]. 471 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(104(a,1),14(a,2,1)),flip(a)]. 472 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(104(a,1),20(a,2,1,1)),flip(a)]. 473 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(104(a,1),20(a,2,2)),flip(a)]. 474 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(27(a,1),104(a,1,1))]. 475 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(29(a,1),104(a,1,1))]. 476 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(31(a,1),104(a,1,1))]. 477 R(x,y,z) * (y * z) != (x * y) * u | u = z. [para(104(a,2),42(a,2)),flip(a)]. 478 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(104(a,1),43(a,1))]. 480 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(108(a,1),104(a,1,2))]. 481 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(86(a,1),104(a,1,2))]. 482 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(104(a,1),280(a,1,1))]. 483 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(104(a,2),280(a,1,1))]. 484 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(227(a,2),104(a,1,2))]. 485 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(104(a,1),185(a,1))]. 487 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(104(a,1),104(a,1,2))]. 488 R(x / (1 / y),1 / y,y) = x * y. [hyper(273,a,158,a(flip),b,105,a),flip(a)]. 489 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(273,a,157,a(flip),b,105,a),flip(a)]. 490 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(10(a,1),105(a,2,1))]. 491 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(10(a,1),105(a,2,2))]. 492 R(x / (y / z),y / z,z) = (x * z) / y. [para(12(a,1),105(a,2,2))]. 493 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(105(a,1),27(a,2,1)),flip(a)]. 494 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(216(a,1),105(a,2,2))]. 495 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(193(a,2),105(a,1,1))]. 496 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(105(a,2),233(a,1)),flip(b)]. 497 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(104(a,1),105(a,2,1))]. 498 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(104(a,1),105(a,2,2))]. 499 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(105(a,2),105(a,1,1))]. 503 x \ (x * y) != z * u | y / u = z. [para(12(a,1),126(a,1,2,2)),flip(b)]. 504 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(86(a,1),167(a,1,2,1))]. 505 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(94(a,1),167(a,1,2,1))]. 506 (x * y) / L(z,y / z,x) = x * (y / z). [para(12(a,1),169(a,1,1,2))]. 507 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(108(a,1),169(a,1,1,2))]. 508 K(x,1 / x) \ x = L(x,1 / x,x). [para(229(a,2),195(a,2,1)),flip(a)]. 509 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(115,a,30,a,b,226,a)]. 510 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(115,a,25,a(flip),b,226,a)]. 513 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(115,a,30,a,b,228,a)]. 514 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(108(a,1),228(a,1,2)),flip(a)]. 515 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(116,a,29,a(flip),b,232,a)]. 516 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(116,a,27,a(flip),b,232,a)]. 517 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(115,a,232,a(flip),b,108,a)]. 518 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(104(a,1),232(a,1,1)),flip(a)]. 519 T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). [hyper(116,a,27,a(flip),b,234,a)]. 520 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(256(a,1),30(a,1,1)),flip(a)]. 521 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(77(a,1),256(a,1,1))]. 524 (x * (x \ y)) * z != u | y * z = u. [para(74(a,1),279(a,1,1,1))]. 525 (x / (y \ x)) * z != u | y * z = u. [para(164(a,2),279(a,1,1))]. 527 x * T(y,x) != z * u | z \ (y * x) = u. [para(170(a,1),283(a,1,1))]. 529 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(147(a,1),283(a,1,1))]. 530 (x * y) / y != z * u | z \ x = u. [para(147(a,2),283(a,1))]. 536 ((1 / x) * x) * y != z * u | y / u = z. [para(154(a,1),284(a,1,2))]. 537 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(150(a,1),284(a,1,2))]. 544 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(226(a,1),287(a,1))]. 545 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(352(a,1),160(a,1,2))]. 546 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(363(a,1),27(a,2,1)),flip(a)]. 547 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(363(a,2),105(a,1,1))]. 549 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(147(a,1),376(a,1,1))]. 552 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(10(a,2),378(a,1,2))]. 554 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(150(a,1),378(a,1,2))]. 555 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(386(a,1),44(a,1)),flip(a)]. 556 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(392(a,1),47(a,1)),flip(a)]. 557 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(109(a,2),394(a,1,2))]. 558 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(404(a,1),225(a,1,2))]. 559 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(405(a,1),225(a,1,2))]. 560 x / y != z * (1 / y) | R(z,1 / y,y) = x. [para(408(a,1),45(a,1)),flip(a)]. 563 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(455(a,1),25(a,2,1))]. 564 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(455(a,1),29(a,1,1)),flip(a)]. 565 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(456(a,1),25(a,2,1))]. 566 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(456(a,1),160(a,1,2))]. 567 R(x / y,y,x \ z) \ z = y * (x \ z). [para(10(a,1),467(a,1,2))]. 568 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(108(a,1),467(a,1,2))]. 569 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(467(a,1),331(a,1,2)),flip(b)]. 570 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(489(a,1),31(a,1,1)),flip(a)]. 571 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(355(a,1),503(a,1,2))]. 573 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(104(a,1),503(a,1,2))]. 574 K(x,1 / x) * L(x,1 / x,x) = x. [hyper(131,a,508,a)]. 575 (x * T(y,x)) / x != z * u | z \ y = u. [para(108(a,2),530(a,1,1))]. 576 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(62,a,94,a(flip),b,210,a)]. 578 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(22(a,1),210(a,1,2,1))]. 579 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(27(a,2),210(a,1,2,1))]. 581 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(110(a,1),210(a,1,2,1)),flip(a)]. 582 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(198(a,1),210(a,1,2,1)),flip(a)]. 583 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(109(a,1),210(a,1,2,1))]. 584 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(273,a,104,a(flip),b,211,a),flip(a)]. 585 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(115,a,104,a(flip),b,211,a)]. 586 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(23(a,1),211(a,1,2,1))]. 587 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(211(a,1),42(a,1))]. 588 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(110(a,1),211(a,1,2,1)),flip(a)]. 589 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(198(a,1),211(a,1,2,1)),flip(a)]. 590 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(109(a,1),211(a,1,2,1))]. 591 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(217(a,1),211(a,1,2,1)),flip(a)]. 592 T(x / y,(z / y) \ z) = y \ x. [hyper(212,a,301,a,b,298,a)]. 593 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(212,a,94,a(flip),b,142,a(flip))]. 594 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(245,a,219,a)]. 595 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(245,a,220,a)]. 596 T(x / (y * x),y) = R(y \ 1,y,x). [para(193(a,1),220(a,1,1))]. 597 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(360(a,1),220(a,1,1)),flip(a)]. 598 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(105(a,1),220(a,1,1))]. 599 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(259(a,1),220(a,1,1)),flip(a)]. 600 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(364(a,1),220(a,1,1)),flip(a)]. 601 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(489(a,1),220(a,1,1)),flip(a)]. 602 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(596(a,1),108(a,1,2)),flip(a)]. 603 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(596(a,1),252(a,1,2))]. 605 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(267(a,1),46(a,1))]. 607 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(268(a,1),129(a,1))]. 608 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(252,a,270,a),flip(a)]. 610 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(115,a,270,a,b,xx)]. 611 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(115,a,270,a(flip),b,94,a)]. 612 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(270(a,2),16(a,2,1)),flip(a)]. 613 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(270(a,2),18(a,2,1)),flip(a)]. 615 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(270(a,2),294(a,1,1))]. 616 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(271(a,1),252(a,1,2))]. 617 T((x \ y) \ y,z) != u | T(T(x,x \ y),z) = u. [para(271(a,1),424(a,1))]. 618 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(12(a,1),388(a,1,1))]. 619 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(229(a,2),393(a,1,2))]. 620 K(x \ (x * y),x) = K(y,x). [hyper(273,a,87,a(flip),b,397,a)]. 621 K(x \ (x * y),z) = K(y,z). [para(67(a,1),620(a,1,1)),flip(a)]. 622 K((x / y) \ x,z) = K(y,z). [para(12(a,1),621(a,1,1,2))]. 623 T(x / y,z) * y != y * u | T(y \ x,z) = u. [para(417(a,2),42(a,1))]. 624 T(R(x / y,y,z),u) * (y * z) = (y * z) * T((y * z) \ (x * z),u). [para(105(a,2),417(a,1,1,1))]. 625 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(62,a,270,a(flip),b,418,a)]. 626 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(420(a,1),222(a,1,1))]. 627 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(420(a,1),292(a,1,1))]. 629 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(110(a,1),422(a,1,1,2)),flip(a)]. 630 T(x * y,(x \ 1) \ y) = x * y. [hyper(53,a,566,a)]. 632 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(610(a,1),225(a,1,2))]. 634 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(10(a,1),83(a,1,1,2))]. 635 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(108(a,1),83(a,1,1,2))]. 636 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(83(a,1),288(a,1,2))]. 637 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(108(a,1),95(a,1,2,2)),flip(a)]. 638 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(108(a,1),97(a,1,2,2)),flip(a)]. 639 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(97(a,1),225(a,1,2))]. 640 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(94(a,1),97(a,1,2,2)),flip(a)]. 641 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(232(a,1),191(a,1,2))]. 642 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(131,a,641,a)]. 643 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(642(a,1),288(a,1,2))]. 644 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(234(a,1),194(a,1,2))]. 645 L(T(x,y),y,x) = T(x,x * y). [hyper(291,a,207,a),flip(a)]. 646 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(104(a,1),207(a,1,2))]. 647 T(L(x,y,x),y) = T(x,x * y). [hyper(62,a,25,a(flip),b,645,a)]. 648 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(645(a,1),25(a,2,1))]. 649 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(645(a,1),29(a,1,1)),flip(a)]. 650 x * T(y,y * x) = L(y,x,y) * x. [para(645(a,1),210(a,1,2))]. 651 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(645(a,2),211(a,1,2,1))]. 652 (x * T(y,y * x)) / x = L(y,x,y). [hyper(245,a,647,a)]. 653 T((x * y) / x,y * x) = L(y,x,y). [hyper(39,a,244,a,b,647,a)]. 655 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(647(a,1),210(a,1,2,1))]. 656 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(10(a,1),650(a,1,2,2)),flip(a)]. 657 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(108(a,1),650(a,1,2,2)),flip(a)]. 660 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(10(a,1),653(a,1,2))]. 661 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(653(a,1),23(a,1,1)),flip(a)]. 662 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(263(a,1),417(a,1,1,1)),flip(a)]. 663 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(62,a,211,a,b,314,a)]. 664 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(115,a,314,a(flip),b,211,a)]. 665 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(9(a,1),314(a,1,1,3))]. 666 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(29(a,1),314(a,1,1))]. 668 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(273,a,22,a,b,353,a),flip(a)]. 669 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(357(a,2),94(a,1,2))]. 670 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(329,a,361,a)]. 671 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(383,a,365,a),flip(a)]. 672 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(22(a,1),379(a,1,2,1))]. 673 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(273,a,110,a(flip),b,384,a),flip(a)]. 674 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(115,a,384,a(flip),b,228,a)]. 675 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(389(a,1),288(a,1,2))]. 676 K(x,y) = L(x \ T(x,y),x,y). [hyper(273,a,16,a,b,412,a)]. 677 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(412(a,1),25(a,2,1))]. 678 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(412(a,2),294(a,1))]. 679 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(108(a,2),431(a,1,2))]. 680 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(30(a,1),437(a,1,2))]. 681 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(437(a,1),42(a,1))]. 682 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(437(a,1),288(a,1,2))]. 683 L(x \ y,x,y / x) = T(y / x,y). [hyper(212,a,144,a(flip),b,438,a),flip(a)]. 684 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(30(a,1),438(a,1,2))]. 685 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(457(a,1),25(a,2,1))]. 686 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(457(a,1),29(a,1,1)),flip(a)]. 687 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(10(a,1),466(a,1,2))]. 688 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(12(a,1),466(a,1,2))]. 689 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(466(a,1),331(a,1,2)),flip(b)]. 690 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(470(a,1),43(a,1))]. 691 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(491(a,1),220(a,1,1))]. 692 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(492(a,1),27(a,2,1))]. 693 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(492(a,1),31(a,1,1)),flip(a)]. 694 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(193(a,2),492(a,1,1,2))]. 695 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(193(a,2),492(a,1,2))]. 696 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(492(a,1),220(a,1,1)),flip(a)]. 697 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(507(a,1),290(a,1,1))]. 698 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(62,a,673,a(flip),b,514,a),flip(a)]. 700 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(77(a,1),698(a,1,2,1))]. 701 (1 / x) * K(x \ 1,x) = x \ 1. [para(227(a,2),698(a,1,2))]. 702 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(701(a,1),213(a,2))]. 704 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(9(a,1),598(a,2,1)),flip(a)]. 705 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(599(a,1),314(a,1,1)),flip(a)]. 706 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(62,a,232,a,b,601,a)]. 707 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(9(a,1),601(a,1,1)),flip(a)]. 709 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(602(a,1),294(a,1,1))]. 710 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(648(a,1),94(a,1,2))]. 711 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(10(a,1),670(a,1,1,2))]. 712 T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. [para(704(a,2),48(a,1)),flip(a)]. 713 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(704(a,2),108(a,1,2)),flip(a)]. 714 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(158(a,1),704(a,2,1)),flip(a)]. 715 T(R(x,y,x),y * x) = T(x,y). [para(704(a,2),244(a,1,1))]. 716 R(T(x,y * x),y,x) = T(x,y). [hyper(62,a,27,a,b,715,a)]. 717 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(715(a,1),210(a,1,2,1)),flip(a)]. 718 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(715(a,1),211(a,1,2,1)),flip(a)]. 719 R(x,y,z) != T(z,y) | T(z,y * z) = x. [para(715(a,1),140(a,1)),flip(a)]. 720 R(T(x,y),y / x,x) = T(x,y / x). [para(12(a,1),716(a,1,1,2))]. 721 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(716(a,1),104(a,1,1)),flip(a)]. 722 R(x,y / z,z) != T(z,y / z) | T(z,y) = x. [para(720(a,1),50(a,1)),flip(a)]. 723 R(x,1 / x,x) = T(x,1 / x). [para(177(a,1),720(a,1,1))]. 724 T(x,1 / x) / x = x * (1 / x). [hyper(116,a,723,a(flip),b,234,a)]. 725 R(T(x,y),1 / x,x) = T(T(x,1 / x),y). [para(723(a,1),27(a,2,1))]. 726 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(723(a,1),31(a,1,1)),flip(a)]. 727 T(x,1 / x) / x = K(x,1 / x). [hyper(273,a,229,a,b,724,a),flip(a)]. 728 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(245,a,707,a)]. 729 (x * R(y,x,x \ 1)) / x != z * u | z \ ((x * y) * (x \ 1)) = u. [para(707(a,1),575(a,1,1,2))]. 730 T(x,y) \ T(T(x,1 / x),y) = a(T(x,y),1 / x,x). [para(725(a,1),644(a,1,2))]. 731 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(273,a,27,a,b,111,a)]. 732 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(27(a,1),251(a,1,1))]. 734 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(31(a,1),251(a,1,1))]. 735 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(108(a,1),251(a,1,2))]. 736 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(25(a,1),255(a,1,2))]. 737 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(29(a,2),255(a,1,2))]. 738 (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. [para(357(a,2),255(a,1,2))]. 739 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(86(a,1),450(a,1,1)),flip(a)]. 743 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(70(a,1),453(a,1,2))]. 744 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(94(a,1),453(a,1,2,2))]. 746 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(83(a,1),453(a,1,2,2))]. 750 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(260(a,1),478(a,2,2))]. 751 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(701(a,1),478(a,2,2))]. 752 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(82(a,1),482(a,1,1))]. 753 L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. [para(309(a,1),544(a,1,1))]. 754 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(227(a,2),559(a,1,2))]. 755 (x * y) / z != u | R(x / (z / y),z / y,y) = u. [para(12(a,1),569(a,1,2))]. 756 L(1 / x,x,y) * x = x * ((y * x) \ y). [para(192(a,1),581(a,2,2))]. 757 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(128,a,756,a)]. 759 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(128,a,582,a),flip(a)]. 760 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(116,a,94,a(flip),b,582,a),flip(a)]. 761 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(588(a,1),232(a,1,1))]. 762 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(263(a,1),588(a,1,1,1)),flip(a)]. 763 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(491(a,1),588(a,1,1))]. 764 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(128,a,589,a),flip(a)]. 765 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(122,a,589,a)]. 766 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(116,a,589,a(flip),b,314,a(flip))]. 767 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(116,a,589,a(flip),b,104,a(flip))]. 768 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(594(a,1),222(a,1,1))]. 769 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(594(a,1),292(a,1,1))]. 770 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(96(a,1),594(a,1,1,2))]. 771 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(256(a,1),594(a,1,1,2)),flip(a)]. 772 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(455(a,1),594(a,1,1,2))]. 773 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(456(a,1),594(a,1,1,2))]. 774 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(676(a,2),594(a,1,1,2)),flip(a)]. 775 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(18(a,2),595(a,1,1,2,1))]. 776 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(77(a,1),595(a,1,1,2,1))]. 777 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(595(a,1),222(a,1,1))]. 778 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(245,a,629,a)]. 779 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(629(a,1),108(a,1,2)),flip(a)]. 780 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(629(a,1),200(a,1,2,2))]. 781 L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). [para(674(a,1),676(a,2,1)),flip(a)]. 782 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(273,a,77,a(flip),b,700,a),flip(a)]. 784 (1 / (1 / x)) * K(x,1 / x) = x. [para(229(a,2),782(a,1,2))]. 785 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(260(a,2),706(a,1,1))]. 787 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(110(a,1),731(a,1,1,1)),flip(a)]. 788 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(759(a,2),222(a,1,1))]. 789 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(759(a,1),94(a,1,2))]. 790 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(356(a,1),759(a,2,1,2))]. 791 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(455(a,1),759(a,2,1,2))]. 792 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(456(a,1),759(a,2,1,2))]. 793 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(457(a,1),759(a,2,1,2))]. 794 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(193(a,1),764(a,2,1,2))]. 796 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(259(a,1),764(a,2,1,2))]. 798 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(488(a,1),764(a,2,1,2))]. 799 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(489(a,1),764(a,2,1,2))]. 800 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(764(a,1),251(a,1,1))]. 801 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(230(a,1),403(a,1,1))]. 802 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(358(a,2),94(a,1,2))]. 803 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(597(a,1),358(a,2,1))]. 804 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(273,a,96,a(flip),b,359,a),flip(a)]. 805 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(351(a,1),359(a,1,1)),flip(a)]. 806 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(359(a,1),94(a,1,2))]. 807 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(350,a,805,a)]. 808 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(96(a,1),447(a,1,2,1))]. 809 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(256(a,1),447(a,1,2,1))]. 810 ((x / y) * y) * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). [para(356(a,1),447(a,1,2,1))]. 811 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(30(a,1),452(a,1,2))]. 812 (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). [para(357(a,2),452(a,1,2))]. 813 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(358(a,2),452(a,1,2))]. 814 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(462(a,1),25(a,2,1))]. 815 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(462(a,1),29(a,1,1)),flip(a)]. 816 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(462(a,1),30(a,1,1)),flip(a)]. 817 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(259(a,1),474(a,1,1,1)),flip(a)]. 818 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(34,a,418,a,b,480,a)]. 819 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(33,a,211,a,b,480,a(flip))]. 820 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(819(a,1),480(a,1,1)),flip(a)]. 821 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(383,a,493,a),flip(a)]. 822 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(456(a,1),510(a,1,2,1)),flip(a)]. 823 T(R(x / y,y,y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(273,a,417,a(flip),b,516,a),flip(a)]. 824 T(R(x / (1 / y),1 / y,y),z) / y = (1 / y) * T((1 / y) \ x,z). [hyper(273,a,417,a(flip),b,519,a),flip(a)]. 825 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(383,a,546,a),flip(a)]. 827 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(546(a,2),314(a,1,1))]. 830 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(62,a,514,a(flip),b,563,a)]. 831 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(115,a,563,a(flip),b,228,a)]. 832 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(357(a,1),563(a,1,1))]. 833 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(9(a,1),830(a,1,2,1)),flip(a)]. 834 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(170(a,1),568(a,1,1,1))]. 835 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(192(a,1),576(a,2,1)),flip(a)]. 836 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(115,a,83,a(flip),b,584,a),flip(a)]. 837 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(584(a,1),42(a,1)),flip(a)]. 838 (x * y) * T(y,x) = (y * x) * y. [para(716(a,1),584(a,1,2))]. 839 (x * (y / x)) * x = y * T(x,y / x). [hyper(279,a,838,a),flip(a)]. 840 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(115,a,68,a(flip),b,838,a)]. 841 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(115,a,838,a(flip),b,86,a)]. 842 K(x \ 1,x) \ x = T(x,x \ 1). [para(227(a,2),840(a,1,1))]. 843 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(273,a,109,a(flip),b,842,a),flip(a)]. 844 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(131,a,843,a)]. 845 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(108(a,1),585(a,1,2,1)),flip(a)]. 846 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(314(a,1),587(a,1))]. 847 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(593(a,1),418(a,1,1))]. 848 (x / y) * R((x / y) \ 1,x / y,y) != z | (y / x) * (x / y) = z. [para(600(a,2),252(a,1,2))]. 849 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(74(a,1),626(a,1,1,1))]. 850 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(116,a,634,a(flip),b,108,a)]. 851 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [hyper(62,a,25,a(flip),b,638,a)]. 852 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(273,a,25,a,b,661,a),flip(a)]. 853 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(115,a,142,a(flip),b,663,a),flip(a)]. 854 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(665(a,1),43(a,1))]. 856 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(12(a,1),771(a,2,1,2,1))]. 857 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(22(a,2),771(a,2,1,2))]. 858 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(205(a,1),771(a,2,1,2))]. 859 L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). [para(77(a,1),781(a,1,1,2,1))]. 860 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(847(a,1),43(a,1))]. 861 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(459(a,1),851(a,1,1)),flip(a)]. 862 T(x,((x \ y) \ y) \ z) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ z) \ z). [hyper(62,a,269,a(flip),b,419,a),flip(a)]. 865 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(9(a,1),778(a,1,1,2,1,2))]. 866 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(778(a,1),222(a,1,1))]. 868 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(62,a,409,a,b,779,a)]. 869 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(105(a,2),779(a,1,1,1,2))]. 870 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(77(a,1),780(a,1,2,2,1,2))]. 871 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(105(a,1),787(a,1,1,1))]. 872 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(212,a,820,a,b,xx)]. 874 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(672,a,822,a),flip(a)]. 875 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(252,a,822,a),flip(a)]. 876 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(122,a,822,a)]. 877 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(8(a,1),822(a,2,2,1))]. 878 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(10(a,1),822(a,2,2,1))]. 879 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(822(a,1),252(a,1))]. 880 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(62,a,419,a(flip),b,877,a)]. 882 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(880(a,1),294(a,1,2))]. 883 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(880(a,1),206(a,1,2,2))]. 884 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(10(a,1),831(a,1,2,1)),flip(a)]. 885 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [hyper(131,a,874,a),flip(a)]. 886 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(10(a,1),875(a,1,2,1)),flip(a)]. 888 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(876(a,1),225(a,1,2))]. 889 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(116,a,878,a(flip),b,417,a)]. 890 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(116,a,878,a(flip),b,108,a(flip))]. 891 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(252,a,884,a)]. 892 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(884(a,1),399(a,1,2))]. 893 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(27(a,2),890(a,1,1,2))]. 894 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(256(a,1),448(a,1,2,1))]. 895 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(96(a,1),449(a,1,2,1))]. 896 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(645(a,1),449(a,1,2,1))]. 897 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(273,a,144,a(flip),b,454,a),flip(a)]. 898 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(105(a,1),475(a,1,1,1))]. 899 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(259(a,1),475(a,1,1,1)),flip(a)]. 900 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(105(a,1),476(a,1,1,1))]. 901 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(880(a,1),504(a,1,1,1))]. 902 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(509(a,2),42(a,1))]. 903 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(456(a,1),509(a,1,2,1)),flip(a)]. 904 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(351(a,1),513(a,1,2,1))]. 905 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(455(a,1),513(a,1,2,1))]. 906 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(673(a,1),513(a,1,2,1))]. 907 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(360(a,1),515(a,1,1,1))]. 908 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(489(a,1),515(a,1,1,1))]. 909 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(273,a,756,a(flip),b,907,a),flip(a)]. 910 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(192(a,1),909(a,1,1))]. 911 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(129,a,910,a)]. 912 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(911(a,1),264(a,1,1))]. 913 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(520(a,1),255(a,1,2))]. 914 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(520(a,1),454(a,1,2))]. 915 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(350,a,564,a)]. 916 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(803(a,1),564(a,1,1))]. 917 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(685(a,1),437(a,1,2)),flip(a)]. 918 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(692(a,1),470(a,1,1)),flip(a)]. 919 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [para(766(a,1),110(a,1,1)),flip(a)]. 920 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(363(a,1),766(a,1,1,2))]. 921 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [hyper(62,a,492,a(flip),b,794,a),flip(a)]. 922 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(794(a,1),104(a,1,1))]. 923 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(897(a,1),42(a,1)),flip(a)]. 927 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(649(a,1),579(a,1,2))]. 928 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(33,a,211,a,b,590,a)]. 929 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(115,a,928,a(flip),b,315,a),flip(a)]. 931 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(379,a,710,a),flip(a)]. 932 T(x,y) * (x * z) = x * (T(x,y) * z). [para(209(a,1),931(a,1,2)),flip(a)]. 933 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(554,a,932,a)]. 934 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(552,a,932,a),flip(a)]. 935 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(537,a,932,a)]. 936 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(287,a,932,a),flip(a)]. 937 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(273,a,144,a(flip),b,932,a),flip(a)]. 938 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(122,a,932,a)]. 939 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(115,a,144,a(flip),b,932,a)]. 940 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(115,a,69,a(flip),b,932,a),flip(a)]. 941 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(12(a,1),932(a,1,2)),flip(a)]. 943 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(108(a,1),932(a,1,2)),flip(a)]. 944 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(110(a,1),932(a,1,1)),flip(a)]. 945 T(x,y) * K(x,1 / x) = x * (T(x,y) * (1 / x)). [para(229(a,2),932(a,1,2))]. 946 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(128,a,940,a)]. 947 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(122,a,940,a)]. 948 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(116,a,940,a(flip),b,108,a)]. 950 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(946(a,1),889(a,2,1))]. 951 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(273,a,270,a(flip),b,933,a),flip(a)]. 952 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(416(a,1),933(a,1,2))]. 953 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(122,a,934,a)]. 954 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(935(a,1),123(a,1,1)),flip(a),flip(b)]. 955 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(935(a,1),290(a,1,1))]. 956 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(370,a,937,a),flip(a)]. 957 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(212,a,937,a,b,10,a)]. 958 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(115,a,229,a,b,937,a)]. 959 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(33,a,437,a,b,937,a),flip(a)]. 960 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(33,a,261,a,b,937,a),flip(a)]. 962 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(110(a,1),956(a,1,2,1))]. 963 T(x,y) \ z != x \ (T(x,y) \ u) | x \ u = z. [para(953(a,1),46(a,1)),flip(a)]. 964 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(953(a,2),225(a,1,2))]. 965 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(953(a,1),284(a,1,2))]. 966 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(212,a,721,a,b,943,a)]. 967 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(33,a,437,a,b,943,a),flip(a)]. 969 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(129,a,950,a)]. 970 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(110(a,1),962(a,2,2))]. 971 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(9(a,1),970(a,1,2,1))]. 972 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(110(a,1),969(a,1,1)),flip(a)]. 973 T(x,y) = ((x * y) / x) * (y \ x). [para(9(a,1),971(a,2,2)),flip(a)]. 974 T(x,y) / (y \ x) = (x * y) / x. [hyper(116,a,973,a,b,xx)]. 975 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(115,a,973,a,b,108,a),flip(a)]. 976 ((x * y) / x) \ T(x,y) = y \ x. [hyper(115,a,973,a,b,xx)]. 977 ((x * (x / y)) / x) * y = T(x,x / y). [para(77(a,1),973(a,2,2)),flip(a)]. 979 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(392(a,1),973(a,2,2)),flip(a)]. 980 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(973(a,2),598(a,1,1,1)),flip(a)]. 981 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(9(a,1),974(a,1,2)),flip(a)]. 982 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(62,a,779,a(flip),b,977,a)]. 983 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(115,a,977,a(flip),b,779,a(flip))]. 984 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(77(a,1),982(a,1,2,1,2))]. 985 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(771(a,2),982(a,1,2))]. 986 T(x \ T(y,y / x),y) = x \ y. [para(983(a,2),198(a,1,1))]. 987 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(983(a,1),225(a,1,2))]. 988 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(983(a,1),378(a,1,2))]. 989 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(74(a,1),986(a,1,1,2,2))]. 990 T((x \ y) \ T(y,x),y) = T(x,x \ y). [hyper(273,a,109,a,b,989,a),flip(a)]. 991 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(975(a,1),852(a,1,1))]. 992 T(T(x * y,x) / y,x * y) = x. [para(981(a,1),198(a,1,1))]. 993 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(981(a,1),818(a,1,1))]. 994 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(12(a,1),992(a,1,1,1,1))]. 995 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(232(a,1),992(a,1,1,1,1))]. 996 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(383,a,993,a)]. 997 x * R(y,x,T(y,x)) = T(y * x,y). [para(993(a,1),196(a,1,2))]. 999 L(R(x,y,T(x,y)),y,x) = x. [para(996(a,1),439(a,1,1))]. 1000 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(199(a,1),984(a,1,2)),flip(a)]. 1001 T(T(x,x / y) / y,x) = x / y. [para(12(a,1),994(a,1,2))]. 1002 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(9(a,1),964(a,1,2,2))]. 1003 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(779(a,2),987(a,1))]. 1004 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(417(a,1),941(a,1,2))]. 1005 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(109(a,1),951(a,1,2,1))]. 1007 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(952(a,1),955(a,1))]. 1009 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(115,a,985,a(flip),b,94,a(flip))]. 1010 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(96(a,1),736(a,1,2,1))]. 1011 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(256(a,1),736(a,1,2,1))]. 1012 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(626,a,827,a),flip(a)]. 1013 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(430,a,835,a)]. 1014 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(116,a,1013,a,b,417,a)]. 1015 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(8(a,1),903(a,2,2,1))]. 1016 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(256(a,1),903(a,1,2)),flip(a)]. 1017 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(62,a,583,a(flip),b,1015,a)]. 1019 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1017(a,1),602(a,1,1,2)),flip(a)]. 1020 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(10(a,1),905(a,1,2,1)),flip(a)]. 1021 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(273,a,210,a(flip),b,906,a),flip(a)]. 1022 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [hyper(131,a,1021,a)]. 1023 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(352(a,1),1021(a,1,2)),flip(a)]. 1024 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(273,a,192,a(flip),b,1022,a)]. 1025 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(192(a,1),1024(a,2,2,1)),flip(a)]. 1026 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(122,a,1025,a)]. 1027 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(273,a,581,a(flip),b,908,a),flip(a)]. 1028 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(8(a,1),915(a,2,1))]. 1029 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(763(a,2),915(a,1,2))]. 1030 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(122,a,1028,a)]. 1031 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(115,a,364,a(flip),b,1028,a),flip(a)]. 1032 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(33,a,642,a,b,1028,a),flip(a)]. 1034 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(602(a,2),1028(a,1,2))]. 1035 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(273,a,193,a(flip),b,1034,a),flip(a)]. 1036 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(116,a,363,a(flip),b,1034,a)]. 1037 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(212,a,1035,a,b,10,a),flip(a)]. 1039 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1030(a,1),643(a,1))]. 1040 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(273,a,779,a(flip),b,920,a),flip(a)]. 1041 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(110(a,1),944(a,1,2,1))]. 1042 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(198(a,1),944(a,1,2,1)),flip(a)]. 1043 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(217(a,1),944(a,1,2,1)),flip(a)]. 1044 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(377,a,1041,a),flip(a)]. 1045 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(115,a,69,a(flip),b,1041,a),flip(a)]. 1047 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(77(a,1),1044(a,1,2,1)),flip(a)]. 1048 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1045(a,1),42(a,1))]. 1049 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(417(a,1),1012(a,1,1))]. 1050 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(122,a,1020,a),flip(a)]. 1051 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(77(a,1),1027(a,1,1,1,2))]. 1052 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(10(a,1),1036(a,1,2,1,2))]. 1053 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [hyper(171,a,1052,a)]. 1054 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(77(a,1),1047(a,1,1)),flip(a)]. 1055 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1049(a,1),280(a,1,1))]. 1056 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(307(a,1),1049(a,1,1))]. 1057 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(877(a,1),1049(a,1,1))]. 1058 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(74(a,1),1050(a,2,2,1))]. 1059 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(62,a,448,a(flip),b,651,a)]. 1060 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(211(a,1),1059(a,1,2)),flip(a)]. 1061 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(554,a,1060,a)]. 1062 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(537,a,1060,a)]. 1063 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(377,a,1060,a),flip(a)]. 1064 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(287,a,1060,a),flip(a)]. 1065 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(115,a,144,a(flip),b,1060,a)]. 1066 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(115,a,69,a(flip),b,1060,a),flip(a)]. 1067 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(108(a,1),1060(a,1,2)),flip(a)]. 1068 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1060(a,1),207(a,1,2))]. 1069 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(122,a,1063,a)]. 1070 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(62,a,590,a,b,1063,a)]. 1071 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(116,a,1063,a(flip),b,211,a)]. 1072 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1063(a,1),602(a,1,1,2)),flip(a)]. 1073 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1063(a,1),629(a,2,1))]. 1075 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1066(a,1),228(a,1,2)),flip(a)]. 1076 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1066(a,1),874(a,1,2,1,2))]. 1078 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(104(a,1),1061(a,1,2)),flip(a)]. 1079 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(212,a,104,a(flip),b,1064,a),flip(a)]. 1080 R(x,y,x) * T(y,x) = T(x * y,x). [para(22(a,2),1079(a,1,2))]. 1081 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(122,a,1080,a)]. 1082 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(128,a,1078,a),flip(a)]. 1083 (x \ ((x * y) * (y \ z))) / (x \ z) = R(x,y,y \ z). [para(10(a,1),1082(a,2,2,2)),flip(a)]. 1084 (x \ ((x * y) * T(z,y))) / (x \ (z * y)) = R(x,y,y \ (z * y)). [para(22(a,2),1083(a,1,1,2,2))]. 1085 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(363(a,1),666(a,1,1,1))]. 1086 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(457(a,1),680(a,1,2,1)),flip(a)]. 1087 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(459(a,1),684(a,1,2,1)),flip(a)]. 1088 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(115,a,686,a(flip),b,226,a),flip(a)]. 1089 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(686(a,1),437(a,1,2)),flip(a)]. 1090 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(693(a,1),470(a,1,1)),flip(a)]. 1091 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(62,a,475,a(flip),b,717,a),flip(a)]. 1092 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(536,a,1091,a)]. 1094 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(62,a,476,a(flip),b,718,a),flip(a)]. 1095 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(760(a,2),45(a,1))]. 1096 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(192(a,1),789(a,1,2,1,2))]. 1097 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(96(a,1),789(a,1,2,1,2))]. 1098 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(256(a,1),789(a,1,2,1,2))]. 1099 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(790(a,1),438(a,1,2)),flip(a)]. 1100 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(115,a,791,a(flip),b,228,a)]. 1101 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(115,a,792,a(flip),b,226,a),flip(a)]. 1102 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(116,a,798,a(flip),b,234,a),flip(a)]. 1103 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(360(a,1),823(a,1,1,1))]. 1104 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [para(489(a,1),823(a,1,1,1))]. 1105 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(129,a,1104,a)]. 1106 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(12(a,1),1104(a,1,1,1)),flip(a)]. 1107 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(252,a,1106,a)]. 1108 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(273,a,422,a(flip),b,857,a),flip(a)]. 1109 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(933(a,1),858(a,1,1,1))]. 1110 x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). [para(859(a,1),905(a,1,2)),flip(a)]. 1112 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(12(a,1),879(a,1,2,1))]. 1113 (x * y) * L(T(T(x,y) \ x,x),T(x,y),y) = y * L(x,T(x,y) \ x,T(x,y)). [para(967(a,1),452(a,2,2))]. 1116 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(104(a,1),444(a,1,2))]. 1117 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(94(a,1),472(a,1,1))]. 1118 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(96(a,1),737(a,1,2,1))]. 1120 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(94(a,1),802(a,1,1))]. 1122 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(199(a,1),870(a,1,2,2))]. 1123 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(380,a,896,a),flip(a)]. 1124 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(210(a,1),1123(a,1,2)),flip(a)]. 1125 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(554,a,1124,a)]. 1126 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(552,a,1124,a),flip(a)]. 1127 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(287,a,1124,a),flip(a)]. 1128 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(122,a,1124,a)]. 1129 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(115,a,144,a(flip),b,1124,a)]. 1130 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(115,a,69,a(flip),b,1124,a),flip(a)]. 1131 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(115,a,1124,a(flip),b,86,a)]. 1132 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(122,a,1130,a)]. 1133 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1130(a,1),16(a,2,1)),flip(a)]. 1135 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(115,a,22,a,b,1126,a),flip(a)]. 1139 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1128(a,1),1108(a,1,1,1)),flip(a)]. 1140 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(227(a,2),1129(a,1,2))]. 1141 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(122,a,917,a)]. 1142 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(115,a,108,a(flip),b,917,a),flip(a)]. 1143 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(8(a,1),917(a,2,2,1,2))]. 1144 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(122,a,1143,a),flip(a)]. 1145 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(307(a,1),1143(a,1,2)),flip(a)]. 1146 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [hyper(115,a,399,a(flip),b,1144,a)]. 1147 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [hyper(62,a,1013,a,b,1144,a)]. 1148 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(9(a,1),1146(a,1,2,1)),flip(a)]. 1150 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(131,a,1148,a(flip)),flip(a)]. 1152 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(192(a,2),1148(a,1,1,1))]. 1153 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1148(a,2),675(a,1))]. 1154 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1152(a,2),390(a,1,2)),flip(a)]. 1155 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1152(a,1),1103(a,1,1))]. 1156 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(116,a,417,a(flip),b,918,a)]. 1157 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(7(a,1),918(a,2,1,1,1))]. 1158 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(273,a,417,a(flip),b,1157,a),flip(a)]. 1159 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [para(110(a,1),1158(a,1,1,1))]. 1160 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(417(a,1),1158(a,1,1))]. 1161 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(227(a,2),1159(a,1,1))]. 1162 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(128,a,1160,a),flip(a)]. 1163 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(273,a,413,a(flip),b,1161,a),flip(a)]. 1164 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(62,a,1013,a,b,1162,a)]. 1165 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(110(a,1),972(a,1,2)),flip(a)]. 1166 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(74(a,1),1165(a,1,2,1,1)),flip(a)]. 1167 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(9(a,1),1042(a,1,1)),flip(a)]. 1168 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(554,a,1167,a)]. 1169 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(377,a,1167,a),flip(a)]. 1170 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(115,a,144,a(flip),b,1167,a)]. 1171 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(115,a,69,a(flip),b,1167,a),flip(a)]. 1172 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(423(a,1),1171(a,1,2,1)),flip(a)]. 1173 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(682,a,1168,a),flip(a)]. 1174 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(62,a,173,a(flip),b,1043,a),flip(a)]. 1176 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(115,a,144,a(flip),b,1174,a)]. 1177 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1174(a,1),16(a,2,1)),flip(a)]. 1178 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(768,a,1085,a),flip(a)]. 1179 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(64(a,1),1088(a,2,2,1))]. 1180 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(22(a,2),1179(a,1,2,1)),flip(a)]. 1181 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(8(a,1),1100(a,1,2,1,2))]. 1182 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(987,a,1101,a),flip(a)]. 1183 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1003,a,1102,a),flip(a)]. 1184 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [hyper(866,a,1102,a)]. 1185 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(10(a,1),1183(a,1,1,1,2)),flip(a)]. 1186 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(10(a,1),1141(a,1,2,2,1,2)),flip(a)]. 1187 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(200(a,1),1141(a,1,2,2,1)),flip(a)]. 1188 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(664(a,1),1141(a,1,2,2,1)),flip(a)]. 1189 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(273,a,417,a(flip),b,1156,a),flip(a)]. 1190 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(581(a,1),1178(a,1,1))]. 1191 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(7(a,1),1184(a,2,1,1,2))]. 1192 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(77(a,1),1191(a,1,2,1,2))]. 1193 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(525,a,1192,a),flip(a)]. 1194 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(22(a,2),1186(a,1,1))]. 1195 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(129,a,1189,a)]. 1196 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(108(a,1),1189(a,1,1)),flip(a)]. 1197 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(809(a,1),1189(a,1,1))]. 1198 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(576(a,1),204(a,1,1))]. 1199 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(10(a,1),1198(a,1,1,2))]. 1200 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(116,a,570,a(flip),b,761,a)]. 1201 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(7(a,1),1200(a,1,1,1))]. 1202 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(12(a,1),1200(a,1,1,1)),flip(a)]. 1203 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(793(a,1),437(a,1,2)),flip(a)]. 1204 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(462(a,1),811(a,1,2,1))]. 1205 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(352(a,1),1023(a,1,1)),flip(a)]. 1206 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(131,a,1205,a)]. 1207 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(273,a,9,a(flip),b,1206,a),flip(a)]. 1208 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(212,a,1206,a,b,10,a)]. 1210 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(9(a,1),1207(a,1,2,1))]. 1211 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(973(a,2),1029(a,1,2,1,1)),flip(a)]. 1212 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(11(a,1),1139(a,2,1))]. 1213 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1212(a,1),418(a,1,1)),flip(a)]. 1214 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(33,a,210,a,b,1213,a)]. 1215 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(10(a,1),705(a,2,1,1,2))]. 1216 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(273,a,417,a(flip),b,1215,a),flip(a)]. 1217 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(11(a,1),1216(a,1,1,1,2))]. 1218 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(846,a,1217,a)]. 1219 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(529,a,810,a)]. 1220 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [hyper(279,a,810,a),flip(a)]. 1221 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(679,a,1219,a)]. 1222 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(115,a,399,a(flip),b,1219,a(flip))]. 1224 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(273,a,1162,a(flip),b,1221,a),flip(a)]. 1225 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(273,a,1144,a(flip),b,1221,a),flip(a)]. 1226 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(273,a,877,a(flip),b,1221,a),flip(a)]. 1227 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(116,a,1221,a,b,417,a)]. 1228 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1221(a,2),1143(a,1,2)),flip(a)]. 1230 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(974(a,1),1222(a,1,2,1,2))]. 1231 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(110(a,1),1226(a,2,2))]. 1232 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(198(a,1),1226(a,2,2))]. 1233 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1201(a,1),1226(a,1,1,2))]. 1234 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(20(a,2),1224(a,1,1,2,2))]. 1235 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(989(a,1),1224(a,2,1,2))]. 1236 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(22(a,2),1225(a,1,1,2,2))]. 1237 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(77(a,1),1225(a,2,2,2,1))]. 1238 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(9(a,1),1228(a,1,2,1)),flip(a)]. 1239 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(16(a,2),1228(a,2,2,1,2,2))]. 1240 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(18(a,2),1228(a,2,2,1,2,2))]. 1241 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1069(a,1),1231(a,2,2))]. 1243 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(307(a,1),1220(a,1,2))]. 1244 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1232(a,2),394(a,1,2))]. 1245 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(423(a,1),1232(a,1,1,2,2,1))]. 1246 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(407(a,1),1238(a,1,2,1,2))]. 1247 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(848,a,1031,a),flip(a)]. 1248 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(74(a,1),1247(a,1,2)),flip(a)]. 1249 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(525,a,1248,a),flip(a)]. 1251 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(131,a,1249,a)]. 1252 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(212,a,1251,a,b,10,a)]. 1254 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(227(a,2),894(a,1,1))]. 1255 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(788,a,898,a),flip(a)]. 1256 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(582(a,1),1255(a,1,1))]. 1257 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(549,a,1256,a)]. 1258 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(536,a,1256,a),flip(a)]. 1259 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(529,a,1256,a)]. 1260 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(122,a,1256,a)]. 1261 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(116,a,142,a(flip),b,1256,a)]. 1262 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(116,a,75,a(flip),b,1256,a),flip(a)]. 1263 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(115,a,142,a(flip),b,1256,a)]. 1264 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(115,a,1256,a(flip),b,86,a)]. 1265 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1256(a,1),294(a,1,1))]. 1266 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(212,a,1258,a,b,10,a)]. 1268 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1258(a,1),232(a,1,1)),flip(a)]. 1269 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(128,a,1262,a)]. 1271 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1262(a,1),96(a,2,1))]. 1272 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1262(a,1),653(a,1,2))]. 1273 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1259(a,1),331(a,1,2)),flip(b)]. 1274 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(169(a,1),1259(a,1,1,1)),flip(a)]. 1276 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(94(a,1),1261(a,1,1)),flip(a)]. 1277 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1266(a,1),218(a,1,1))]. 1279 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. [hyper(128,a,1276,a)]. 1280 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(122,a,1276,a),flip(a)]. 1281 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(116,a,258,a(flip),b,1276,a)]. 1283 L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. [para(1276(a,1),291(a,1,2))]. 1284 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(12(a,1),1280(a,2,2,1,2)),flip(a)]. 1285 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1268(a,2),43(a,1))]. 1286 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(273,a,581,a(flip),b,899,a),flip(a)]. 1287 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(777,a,900,a)]. 1288 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(104(a,1),922(a,1,2))]. 1289 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(800,a,979,a)]. 1290 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1169(a,1),1289(a,1,1))]. 1291 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(128,a,1290,a)]. 1292 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(199(a,1),1290(a,1,1,2)),flip(a)]. 1293 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1290(a,1),280(a,1,1))]. 1294 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(77(a,1),1291(a,1,1,2,2)),flip(a)]. 1295 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1292(a,1),947(a,1,2,1)),flip(a)]. 1296 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(62,a,1181,a(flip),b,1294,a),flip(a)]. 1297 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [hyper(129,a,1296,a)]. 1298 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(940(a,1),1297(a,1,1,2,1))]. 1299 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1037(a,1),388(a,1))]. 1300 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(77(a,1),1051(a,1,2)),flip(a)]. 1301 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(7(a,1),1300(a,2,1,1))]. 1302 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(74(a,1),1058(a,1,1,2,1))]. 1304 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(291,a,1068,a),flip(a)]. 1305 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(122,a,1086,a)]. 1306 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(10(a,1),1087(a,2,2,1,2))]. 1307 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(122,a,1089,a)]. 1308 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(7(a,1),1090(a,2,1,1,1))]. 1309 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(273,a,588,a(flip),b,1308,a),flip(a)]. 1310 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(588(a,1),1309(a,1,1))]. 1311 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(128,a,1310,a),flip(a)]. 1312 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(20(a,2),1311(a,1,1)),flip(a)]. 1313 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(988,a,1096,a)]. 1314 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(987,a,1096,a),flip(a)]. 1315 (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(94(a,1),1096(a,1,1))]. 1316 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1313(a,1),46(a,1)),flip(a)]. 1317 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1313(a,2),1297(a,1,1)),flip(a)]. 1318 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(122,a,1099,a)]. 1319 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(74(a,1),1166(a,1,1,1)),flip(a)]. 1321 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1319(a,1),1005(a,1,2)),flip(a)]. 1322 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(273,a,211,a(flip),b,1180,a),flip(a)]. 1323 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(886(a,1),1322(a,1,2,1,2))]. 1324 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(581(a,1),1286(a,1,1))]. 1325 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(588(a,1),1287(a,2,1))]. 1326 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(8(a,1),1305(a,1,2,2,1,2)),flip(a)]. 1327 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(18(a,2),1326(a,1,1)),flip(a)]. 1328 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(8(a,1),1307(a,1,2,2,1,2)),flip(a)]. 1329 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(10(a,1),1318(a,1,2,2,1))]. 1330 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(434,a,1329,a)]. 1331 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1329(a,1),434(a,1))]. 1333 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1269(a,1),1330(a,1,2)),flip(a)]. 1334 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1330(a,2),1314(a,1,2))]. 1335 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(74(a,1),1334(a,1,2,2,1)),flip(a)]. 1336 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(103(a,2),1335(a,1,2))]. 1337 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(11(a,1),1336(a,2,2,2))]. 1338 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(11(a,1),1324(a,1,1,2,1,2)),flip(a)]. 1339 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(71(a,1),1324(a,1,1,2,1,2)),flip(a)]. 1341 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(62,a,895,a(flip),b,1339,a)]. 1342 T(x,x * L(x \ 1,y,z)) = x. [hyper(212,a,806,a(flip),b,1339,a(flip))]. 1343 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(212,a,1339,a(flip),b,452,a(flip))]. 1345 K(x,x * L(x \ 1,y,z)) = 1. [hyper(54,a,1342,a)]. 1346 T(x,x * ((y * x) \ y)) = x. [para(192(a,1),1342(a,1,2,2))]. 1347 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(352(a,1),1342(a,1,2,2))]. 1348 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(583(a,1),1342(a,1,2))]. 1349 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1015(a,1),1342(a,1,2))]. 1350 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1301(a,1),1342(a,1,2))]. 1351 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1346(a,1),652(a,1,1,2))]. 1352 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1350(a,1),422(a,1,1,2)),flip(a)]. 1353 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1348(a,1),716(a,1,1))]. 1354 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(62,a,894,a(flip),b,1325,a)]. 1355 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(212,a,1325,a(flip),b,1089,a),flip(a)]. 1356 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(212,a,1325,a(flip),b,894,a(flip)),flip(a)]. 1357 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(115,a,1325,a(flip),b,1089,a),flip(a)]. 1358 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(7(a,1),1325(a,1,2,1,2))]. 1359 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1325(a,1,2,1)),flip(a)]. 1361 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(646(a,1),1325(a,1,2,1)),flip(a)]. 1362 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1359(a,1,1,2,1))]. 1364 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(536,a,1362,a),flip(a)]. 1365 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(279,a,1362,a),flip(a)]. 1366 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(122,a,1362,a)]. 1367 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(116,a,142,a(flip),b,1362,a)]. 1368 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(116,a,75,a(flip),b,1362,a),flip(a)]. 1369 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(115,a,142,a(flip),b,1362,a)]. 1370 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(212,a,1368,a,b,10,a),flip(a)]. 1371 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(128,a,1368,a)]. 1372 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(62,a,591,a,b,1368,a)]. 1373 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1368(a,1),213(a,2)),flip(a)]. 1374 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1368(a,1),96(a,2,1))]. 1376 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1371(a,1),1330(a,1,2)),flip(a)]. 1377 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1365(a,1),280(a,1,1))]. 1378 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(777,a,1372,a)]. 1379 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1370(a,1),688(a,1,1,2))]. 1380 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(22(a,2),1356(a,1,2,1,2)),flip(a)]. 1381 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(116,a,1380,a,b,588,a)]. 1382 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(115,a,1380,a,b,xx)]. 1383 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(179(a,1),1380(a,2,2,1,2))]. 1384 T(x,x * R(x \ 1,y,z)) = x. [hyper(53,a,1383,a)]. 1385 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(77(a,1),1384(a,1,2,2,1))]. 1386 T(x,(y / (x * y)) * x) = x. [para(602(a,2),1384(a,1,2))]. 1387 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(590(a,1),1384(a,1,2))]. 1388 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1070(a,1),1384(a,1,2))]. 1389 T(x,(x \ 1) * x) = x. [para(157(a,1),1386(a,1,2,1))]. 1390 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1386(a,1),966(a,1,1,1)),flip(a)]. 1391 R(x,x \ 1,x) = T(x,x \ 1). [para(1389(a,1),716(a,1,1))]. 1392 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1388(a,1),23(a,1,1)),flip(a)]. 1393 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1385(a,1),652(a,1,1,2))]. 1394 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1387(a,1),716(a,1,1))]. 1395 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(9(a,1),1381(a,1,1,1,2,1)),flip(a)]. 1397 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(62,a,894,a(flip),b,1358,a)]. 1399 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(9(a,1),1397(a,1,2,2,1,2))]. 1400 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1063(a,1),1376(a,1,2,1))]. 1401 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(62,a,806,a(flip),b,1338,a),flip(a)]. 1402 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(596(a,1),1390(a,1,2))]. 1403 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(10(a,1),473(a,1,2,1))]. 1404 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(62,a,611,a(flip),b,613,a)]. 1405 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(732,a,624,a),flip(a)]. 1407 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [hyper(837,a,1405,a)]. 1408 x * (y * T(y \ (x \ (z * y)),u)) = (T(z / x,u) * x) * y. [hyper(62,a,809,a(flip),b,1405,a)]. 1409 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(417(a,1),1405(a,2,1))]. 1410 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(198(a,1),1407(a,1,1,1)),flip(a)]. 1411 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(68(a,1),1410(a,1,1,2)),flip(a)]. 1412 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1260(a,1),1410(a,1,1)),flip(a)]. 1413 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1366(a,1),1410(a,1,1)),flip(a)]. 1414 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1412(a,1),584(a,1,2))]. 1415 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(62,a,821,a(flip),b,1413,a)]. 1416 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1413(a,1),211(a,1,2)),flip(a)]. 1417 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1413(a,1),584(a,1,2))]. 1418 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(212,a,1414,a,b,10,a),flip(a)]. 1419 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [hyper(128,a,1414,a)]. 1420 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(116,a,143,a(flip),b,1414,a)]. 1423 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(12(a,1),1408(a,1,2,2,1,2,2)),flip(a)]. 1424 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [para(417(a,1),1408(a,2,1))]. 1425 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(738,a,1409,a),flip(a)]. 1426 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(212,a,1409,a(flip),b,809,a(flip)),flip(a)]. 1427 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(7(a,1),1409(a,1,2,1,2))]. 1428 (x * T(x \ (x * y),z)) * y = (x * y) * T(y,z). [para(9(a,1),1409(a,1,2,1)),flip(a)]. 1429 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1366(a,1),1409(a,1,2,1)),flip(a)]. 1430 (x * T(y,z)) * y = (x * y) * T(y,z). [para(9(a,1),1428(a,1,1,2,1))]. 1431 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(549,a,1430,a)]. 1432 (1 / T(x,y)) * x = x / T(x,y). [hyper(536,a,1430,a),flip(a)]. 1433 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(279,a,1430,a),flip(a)]. 1434 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(273,a,142,a(flip),b,1430,a),flip(a)]. 1435 T(x * T(y,x * y),y) = x * y. [hyper(212,a,1430,a,b,108,a(flip))]. 1436 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(122,a,1430,a)]. 1437 (x * (y * x)) / x = y * T(x,y * x). [hyper(116,a,108,a(flip),b,1430,a)]. 1438 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(116,a,82,a(flip),b,1430,a),flip(a)]. 1439 (1 / x) * T(x,y) = T(x,y) / x. [hyper(116,a,75,a(flip),b,1430,a),flip(a)]. 1442 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(108(a,1),1430(a,2,1))]. 1443 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(110(a,1),1430(a,1,1,2)),flip(a)]. 1445 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(212,a,1432,a,b,10,a)]. 1446 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(122,a,1432,a)]. 1448 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1432(a,1),1122(a,1,2))]. 1449 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(212,a,1439,a,b,10,a),flip(a)]. 1450 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(122,a,1439,a)]. 1451 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(62,a,269,a(flip),b,1439,a),flip(a)]. 1452 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(1439(a,1),16(a,2,1)),flip(a)]. 1453 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(110(a,1),1439(a,1,2)),flip(a)]. 1455 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(1439(a,1),653(a,1,2))]. 1456 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [para(1439(a,1),423(a,1,1))]. 1457 L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). [para(1439(a,1),859(a,1,1))]. 1458 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(1439(a,1),1346(a,1,2,2,1))]. 1460 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1431(a,2),213(a,2)),flip(a)]. 1462 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1000(a,2),1433(a,1,1))]. 1463 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [hyper(212,a,1434,a,b,10,a)]. 1464 (x / y) * T(y,x) = (y * x) / y. [hyper(116,a,108,a(flip),b,1434,a),flip(a)]. 1467 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(525,a,1464,a),flip(a)]. 1468 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(212,a,1464,a,b,10,a),flip(a)]. 1469 T(x,y) = (y / x) \ ((x * y) / x). [hyper(122,a,1464,a),flip(a)]. 1471 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1464(a,1),291(a,1,2))]. 1472 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(354(a,1),1464(a,1,1)),flip(a)]. 1473 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(386(a,1),1464(a,1,1)),flip(a)]. 1474 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1464(a,1),1237(a,2,2))]. 1475 x \ ((y * (x * y)) / y) = T(y,x * y). [para(11(a,1),1469(a,2,1)),flip(a)]. 1476 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1436(a,1),1189(a,1,1,2,1)),flip(a)]. 1477 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1436(a,1),1410(a,1,1)),flip(a)]. 1479 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(1437(a,2),288(a,1,2))]. 1480 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(1445(a,1),417(a,1,1)),flip(a)]. 1482 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1475(a,1),225(a,1,2))]. 1484 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(1475(a,1),378(a,1,2))]. 1485 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(650(a,1),1477(a,1,1,2))]. 1486 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(618,a,1449,a)]. 1487 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(1449(a,1),960(a,1,2))]. 1488 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(109(a,1),1451(a,1,1)),flip(a)]. 1489 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [hyper(129,a,1456,a)]. 1490 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(36,a,1227,a,b,1456,a)]. 1491 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(36,a,420,a,b,1456,a)]. 1492 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(110(a,1),1456(a,1,1,1))]. 1493 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(129,a,1490,a(flip)),flip(a)]. 1494 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(596(a,1),1490(a,2,1))]. 1495 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(62,a,1445,a(flip),b,1493,a),flip(a)]. 1496 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(1493(a,2),280(a,1,1))]. 1497 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1462(a,1),943(a,1,2)),flip(a)]. 1499 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(62,a,1044,a(flip),b,1488,a),flip(a)]. 1500 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(1489(a,1),626(a,1))]. 1501 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1182(a,1),1479(a,1))]. 1502 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1291(a,1),1486(a,1,3)),flip(a)]. 1503 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(110(a,1),1453(a,1,1)),flip(a)]. 1504 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(212,a,1503,a,b,10,a),flip(a)]. 1505 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(62,a,1054,a(flip),b,1503,a),flip(a)]. 1506 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1503(a,1),213(a,2)),flip(a)]. 1507 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(128,a,1497,a),flip(a)]. 1508 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(62,a,1000,a(flip),b,1507,a),flip(a)]. 1509 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(752,a,1508,a)]. 1510 x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(1457(a,1),581(a,1,1)),flip(a)]. 1511 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1183(a,1),1509(a,1,1))]. 1512 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(22(a,2),1426(a,1,2,1,2)),flip(a)]. 1513 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(273,a,108,a(flip),b,1512,a),flip(a)]. 1514 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(115,a,1512,a,b,xx)]. 1515 (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). [para(309(a,1),1512(a,1,1,2,1)),flip(a)]. 1516 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(108(a,1),1513(a,1,1))]. 1517 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(115,a,1516,a,b,260,a)]. 1518 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1516(a,2),73(a,1,2,1))]. 1519 x * (T(y * x,x) / x) = T(x * y,x). [para(9(a,1),1518(a,1,2,1,1,1))]. 1520 T(x * (y / x),x) = x * (T(y,x) / x). [para(79(a,1),1518(a,1,2,1,1)),flip(a)]. 1521 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(115,a,1520,a,b,xx)]. 1522 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1383(a,1),1520(a,2,2,1))]. 1523 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(9(a,1),1514(a,1,2,1,2,1)),flip(a)]. 1524 x * T(x \ T(y,x),z) != u | T(x * T(x \ y,z),x) = u. [para(1514(a,1),225(a,1,2))]. 1525 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(9(a,1),1517(a,1,2,1,1))]. 1526 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(62,a,809,a(flip),b,1427,a)]. 1527 T(x,x * T(x \ 1,y)) = x. [hyper(212,a,669,a(flip),b,1427,a(flip))]. 1528 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1427(a,1),1236(a,2,2))]. 1529 (R(x,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1527(a,1),238(a,1,2,1))]. 1530 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1527(a,1),720(a,1,1))]. 1531 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(419(a,1),1527(a,1,2))]. 1532 T(x \ 1,x \ T(x,y)) = x \ 1. [para(877(a,1),1527(a,1,2))]. 1533 T(1 / x,T(x,y) / x) = 1 / x. [para(1491(a,1),1527(a,1,2))]. 1534 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(53,a,1532,a)]. 1535 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1533(a,1),422(a,1,1,2)),flip(a)]. 1536 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1531(a,1),716(a,1,1))]. 1537 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1534(a,1),677(a,1,1)),flip(a)]. 1538 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(273,a,676,a,b,1537,a)]. 1539 T(K(x,y),x \ 1) = K(x,y). [para(16(a,2),1538(a,2,1)),flip(a)]. 1540 T(x \ 1,K(x,y)) = x \ 1. [hyper(53,a,1539,a)]. 1541 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1539(a,1),108(a,1,2)),flip(a)]. 1542 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1540(a,1),252(a,1,2))]. 1543 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1540(a,1),357(a,2,1))]. 1544 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(62,a,844,a(flip),b,1541,a),flip(a)]. 1545 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(273,a,192,a(flip),b,1543,a),flip(a)]. 1546 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(53,a,1545,a)]. 1547 T(K(x \ 1,y),x) = K(x \ 1,y). [para(153(a,1),1546(a,1,2))]. 1548 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1547(a,1),108(a,1,2)),flip(a)]. 1549 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(209(a,1),1442(a,1,1))]. 1551 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(110(a,1),1443(a,1,2))]. 1552 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(198(a,1),1443(a,1,2)),flip(a)]. 1553 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(217(a,1),1443(a,1,2)),flip(a)]. 1554 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(549,a,1551,a)]. 1555 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(116,a,142,a(flip),b,1551,a)]. 1557 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(1452(a,1),96(a,1,1)),flip(a)]. 1558 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(53,a,1458,a)]. 1559 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1504(a,1),1490(a,1,1))]. 1560 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(108(a,1),1526(a,1,2)),flip(a)]. 1561 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1057(a,2),1526(a,1,2))]. 1562 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1026(a,1),1560(a,2,2,1,2)),flip(a)]. 1563 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(273,a,22,a,b,1528,a)]. 1564 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [hyper(131,a,1528,a(flip)),flip(a)]. 1566 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(273,a,1221,a(flip),b,1563,a)]. 1567 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(115,a,1563,a,b,1221,a(flip))]. 1568 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(307(a,1),1563(a,1,1)),flip(a)]. 1569 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1154(a,2),1563(a,1,1)),flip(a)]. 1570 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(109(a,1),1569(a,1,1,2,2)),flip(a)]. 1571 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(252,a,1566,a),flip(a)]. 1574 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1532(a,1),1567(a,1,2,1,2)),flip(a)]. 1575 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(273,a,110,a(flip),b,1415,a),flip(a)]. 1576 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [hyper(131,a,1575,a)]. 1577 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(193(a,1),1576(a,1,1,2))]. 1578 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(273,a,7,a(flip),b,1577,a),flip(a)]. 1579 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(10(a,1),1578(a,1,1,2,2))]. 1580 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(110(a,1),1423(a,1,1,1)),flip(a)]. 1581 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(417(a,1),1423(a,1,1))]. 1582 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(62,a,809,a,b,1580,a)]. 1583 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(66(a,1),1580(a,1,2,2,1,2)),flip(a)]. 1584 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(822(a,1),1580(a,1,2)),flip(a)]. 1585 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1056(a,2),1580(a,1,2)),flip(a)]. 1586 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(71(a,1),1585(a,1,1,1,2)),flip(a)]. 1588 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(227(a,2),1586(a,2,1))]. 1589 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(9(a,1),1588(a,1,2,2)),flip(a)]. 1590 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(22(a,2),1588(a,1,2,2))]. 1592 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1589(a,1),207(a,1,2))]. 1593 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(10(a,1),1424(a,1,2,2,1,2,2))]. 1594 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(309(a,1),1424(a,2,1,2,1))]. 1595 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(96(a,2),1424(a,1,2,2,1,2)),flip(a)]. 1596 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(62,a,1566,a(flip),b,1480,a),flip(a)]. 1597 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(307(a,1),1596(a,2,1))]. 1598 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(193(a,2),1492(a,2,1,2,2))]. 1599 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(9(a,1),1552(a,1,1,2)),flip(a)]. 1600 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(549,a,1599,a)]. 1601 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(536,a,1599,a),flip(a)]. 1602 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(116,a,142,a(flip),b,1599,a)]. 1603 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(984(a,1),1599(a,1,1)),flip(a)]. 1604 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(1107(a,1),1602(a,1,1,2,1)),flip(a)]. 1605 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(279,a,1603,a),flip(a)]. 1606 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(954,a,1605,a)]. 1608 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(128,a,1606,a)]. 1611 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(62,a,1185,a,b,1608,a)]. 1612 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(9(a,1),1611(a,1,2,2,2)),flip(a)]. 1613 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(77(a,1),1553(a,1,1,2)),flip(a)]. 1614 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(536,a,1613,a),flip(a)]. 1615 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(10(a,1),1574(a,2,2,1))]. 1617 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(179(a,1),1615(a,2,2))]. 1618 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(53,a,1617,a)]. 1620 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(54,a,1618,a)]. 1623 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1581(a,1),291(a,1,2))]. 1624 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(822(a,1),1581(a,1,1)),flip(a)]. 1625 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1243(a,2),1581(a,1,1))]. 1626 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(66(a,1),1625(a,2,2,2,1,2))]. 1628 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(108(a,1),1626(a,2,2))]. 1629 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(307(a,1),1626(a,2,2))]. 1630 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(34,a,104,a(flip),b,1628,a),flip(a)]. 1631 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(757(a,1),1629(a,1,1,1))]. 1632 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1630(a,1),43(a,1)),flip(a)]. 1633 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(420(a,1),1530(a,1,2)),flip(a)]. 1634 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(420(a,1),1633(a,1,2)),flip(a)]. 1635 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1634(a,1),31(a,1,1)),flip(a)]. 1636 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1634(a,1),1080(a,1,1))]. 1637 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(669(a,1),1425(a,1,1))]. 1638 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(9(a,1),1429(a,1,1,2,1))]. 1639 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(116,a,142,a(flip),b,1638,a)]. 1640 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(108(a,1),1639(a,1,1)),flip(a)]. 1641 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [hyper(212,a,1640,a,b,10,a),flip(a)]. 1643 (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1060(a,1),1529(a,1,1))]. 1644 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(218(a,1),1636(a,1,2))]. 1645 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(108(a,1),1643(a,1,1,2))]. 1646 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [para(488(a,1),824(a,1,1,1)),flip(a)]. 1647 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(122,a,1646,a)]. 1648 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(62,a,1228,a(flip),b,1646,a),flip(a)]. 1649 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [para(9(a,1),1646(a,1,2,1)),flip(a)]. 1651 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(1646(a,1),1580(a,1,2)),flip(a)]. 1652 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [para(12(a,1),1647(a,1,2,1,1)),flip(a)]. 1654 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [hyper(129,a,1649,a),flip(a)]. 1655 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(1649(a,1),1519(a,1,2)),flip(a)]. 1656 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [hyper(132,a,1652,a)]. 1658 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1446(a,1),1652(a,1,1)),flip(a)]. 1659 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [hyper(131,a,1658,a)]. 1660 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [hyper(37,a,22,a(flip),b,1658,a),flip(a)]. 1661 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(212,a,1659,a,b,10,a),flip(a)]. 1663 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(1654(a,2),43(a,1))]. 1664 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(273,a,1424,a(flip),b,1655,a),flip(a)]. 1665 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(1656(a,1),88(a,1,1)),flip(a)]. 1666 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(12(a,1),1648(a,1,1,1)),flip(a)]. 1667 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1661(a,1),1227(a,1,1,1))]. 1668 (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). [hyper(116,a,1518,a(flip),b,1651,a),flip(a)]. 1669 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(799(a,1),868(a,1,1))]. 1670 ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(1446(a,1),1669(a,2,2,1,2))]. 1671 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(232(a,1),995(a,1,2))]. 1672 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(516(a,1),1671(a,1,1))]. 1673 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1672(a,1),23(a,1,1)),flip(a)]. 1674 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(872(a,1),1673(a,1,1))]. 1675 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(12(a,1),1674(a,1,1)),flip(a)]. 1676 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(489(a,1),1675(a,2,2))]. 1677 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(12(a,1),1676(a,1,1))]. 1678 T(x,x * (y \ 1)) = T(x,y \ x). [para(110(a,1),1677(a,1,2)),flip(a)]. 1679 T(x,(1 / y) \ x) = T(x,x * y). [para(77(a,1),1678(a,1,2,2)),flip(a)]. 1680 (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. [hyper(62,a,1510,a(flip),b,1110,a),flip(a)]. 1681 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1292(a,1),1295(a,1,1)),flip(a)]. 1682 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(494(a,1),1298(a,2,2))]. 1683 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(7(a,1),1682(a,2,2,1))]. 1684 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(226(a,1),1645(a,1,1))]. 1685 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [para(108(a,1),812(a,1,2,1,1)),flip(a)]. 1687 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1393(a,1),1073(a,1,1))]. 1688 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(769,a,1687,a)]. 1689 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1347(a,1),1147(a,2,2,2))]. 1690 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(122,a,1203,a)]. 1691 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(8(a,1),1203(a,2,2,1,2,2))]. 1692 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(122,a,1691,a),flip(a)]. 1693 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1330(a,2),1691(a,1,2))]. 1694 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(22(a,2),1693(a,1,2,2,1,2)),flip(a)]. 1695 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1468(a,1),1230(a,1,2,1))]. 1696 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(131,a,1695,a)]. 1697 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(62,a,1144,a(flip),b,1696,a),flip(a)]. 1698 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(10(a,1),1235(a,2,1))]. 1699 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(16(a,2),1239(a,1,2,1)),flip(a)]. 1700 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1221(a,1),1699(a,1,2))]. 1701 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(122,a,1700,a)]. 1702 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1339(a,1),1341(a,1,2)),flip(a)]. 1703 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1015(a,1),1702(a,1,1)),flip(a)]. 1704 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1355(a,1,1))]. 1705 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1704(a,1,2,1,1))]. 1706 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(9(a,1),1705(a,2,1,2,1))]. 1707 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1358(a,1),1399(a,1,2)),flip(a)]. 1708 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1070(a,1),1707(a,1,1)),flip(a)]. 1709 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(806(a,1),1401(a,1,1))]. 1710 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(116,a,142,a(flip),b,1709,a)]. 1711 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(351(a,1),1709(a,1,1,2,2)),flip(a)]. 1712 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(351(a,1),1711(a,1,2,2)),flip(a)]. 1713 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(595(a,1),1522(a,2,2))]. 1714 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(595(a,1),1713(a,1,1,2))]. 1715 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(193(a,1),1714(a,1,1,2))]. 1716 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(193(a,1),1715(a,2,2))]. 1717 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(62,a,1402,a,b,1716,a)]. 1718 T(x,x * (y / (x * y))) = x. [hyper(53,a,1716,a)]. 1719 T(x,x * ((x \ y) / y)) = x. [para(10(a,1),1718(a,1,2,2,2))]. 1720 T(x / y,(x / y) * (y / x)) = x / y. [para(12(a,1),1718(a,1,2,2,2))]. 1721 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1719(a,1),271(a,1,1)),flip(a)]. 1722 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1720(a,1),218(a,1,1)),flip(a)]. 1723 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(273,a,110,a(flip),b,1722,a),flip(a)]. 1724 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1723(a,1),1164(a,2,1,2))]. 1725 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1721(a,1),1164(a,2,1,2))]. 1726 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(108(a,1),1624(a,1,2)),flip(a)]. 1727 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(62,a,1516,a,b,1726,a)]. 1728 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(79(a,1),1727(a,1,1))]. 1729 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(9(a,1),1728(a,2,2,1,2)),flip(a)]. 1730 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(9(a,1),1729(a,1,2,1)),flip(a)]. 1731 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(87(a,1),1729(a,1,2,1)),flip(a)]. 1732 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1729(a,1),429(a,1,2))]. 1733 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1730(a,1),108(a,1,2)),flip(a)]. 1734 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(273,a,226,a(flip),b,1733,a),flip(a)]. 1735 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(273,a,223,a(flip),b,1689,a),flip(a)]. 1737 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1735(a,1),1014(a,1,1)),flip(a)]. 1738 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(62,a,1208,a(flip),b,1737,a)]. 1739 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(388,a,1738,a)]. 1740 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(9(a,1),1738(a,1,1,2))]. 1741 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(9(a,1),1739(a,1,3))]. 1742 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1739(a,1),1326(a,1,2)),flip(a)]. 1743 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(9(a,1),1740(a,2,2))]. 1744 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(388,a,1743,a)]. 1745 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(176,a,1743,a)]. 1746 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(131,a,1743,a)]. 1747 L(x \ 1,x,x \ 1) = 1 / x. [para(7(a,1),1744(a,1,3,1))]. 1748 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(12(a,1),1744(a,1,3,1))]. 1749 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(1744(a,1),359(a,1,1)),flip(a)]. 1750 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1747(a,1),25(a,2,1))]. 1751 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1747(a,1),30(a,1,1)),flip(a)]. 1752 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1747(a,1),354(a,1,2))]. 1753 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1747(a,1),1190(a,1,1,2)),flip(a)]. 1754 T(1 / (1 / x),x \ 1) = x. [hyper(1506,a,1752,a)]. 1755 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(273,a,227,a,b,1752,a),flip(a)]. 1757 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1754(a,1),23(a,1,1)),flip(a)]. 1758 T(1 / (1 / (1 / x)),x) = 1 / x. [para(77(a,1),1754(a,1,2))]. 1759 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1754(a,1),134(a,1,1)),flip(a)]. 1760 (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1754(a,1),1012(a,1,1,1))]. 1761 T(x,x \ 1) / x = K(x,x \ 1). [para(1754(a,1),1559(a,1,1)),flip(a)]. 1762 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(129,a,1755,a)]. 1763 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(62,a,1505,a(flip),b,1755,a)]. 1764 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1755(a,1),1220(a,1,1))]. 1765 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1758(a,1),108(a,1,2)),flip(a)]. 1767 K(x,x \ 1) * x = T(x,x \ 1). [hyper(129,a,1761,a)]. 1768 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(109(a,1),1761(a,1,1))]. 1769 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(702,a,1762,a)]. 1770 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1762(a,1),94(a,1,1))]. 1771 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1762(a,1),96(a,2,1))]. 1772 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1762(a,1),104(a,1,2))]. 1774 x * K(x \ 1,x) = 1 / (1 / x). [hyper(131,a,1763,a)]. 1775 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(62,a,353,a(flip),b,1763,a),flip(a)]. 1777 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(273,a,109,a(flip),b,1767,a),flip(a)]. 1779 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1767(a,1),450(a,1,1))]. 1780 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1769(a,1),210(a,1,2,1)),flip(a)]. 1781 L(x,x \ 1,x) = 1 / (1 / x). [hyper(754,a,1774,a)]. 1784 (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. [para(1774(a,1),453(a,1,2,2))]. 1785 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1781(a,1),29(a,1,1)),flip(a)]. 1786 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(1781(a,1),753(a,1))]. 1787 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(1781(a,1),1264(a,1,1,2,2))]. 1789 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1748(a,1),354(a,1,2))]. 1790 T(x,1 / x) = T(x,x \ 1). [para(217(a,1),1757(a,1,1)),flip(a)]. 1791 T(x,1 / x) = (x \ 1) \ 1. [hyper(273,a,109,a(flip),b,1790,a),flip(a)]. 1792 R(x,1 / x,x) = T(x,x \ 1). [hyper(62,a,723,a,b,1790,a)]. 1793 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1790(a,1),422(a,1,1,2))]. 1794 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1790(a,1),645(a,1,1))]. 1795 T(x,x \ 1) / x = K(x,1 / x). [para(1790(a,1),727(a,1,1))]. 1796 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1790(a,1),726(a,2,1))]. 1797 T(x,y) \ T(T(x,x \ 1),y) = a(T(x,y),1 / x,x). [para(1790(a,1),730(a,1,2,1))]. 1798 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(74(a,1),1791(a,1,2))]. 1799 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1791(a,1),727(a,1,1))]. 1800 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1791(a,1),1092(a,1,1,1))]. 1801 T(T(x,x \ 1),y) / x = T(x,y) * (1 / x). [para(1792(a,1),519(a,1,1,1))]. 1802 K(x,1 / x) = K(x,x \ 1). [hyper(62,a,1761,a(flip),b,1795,a),flip(a)]. 1803 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(592(a,1),1795(a,1,1)),flip(a)]. 1804 K(x,x \ 1) = x * (1 / x). [hyper(349,a,1802,a),flip(a)]. 1805 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(62,a,622,a,b,1802,a)]. 1806 x \ K(x,x \ 1) = 1 / x. [hyper(115,a,1802,a(flip),b,229,a(flip))]. 1807 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(74(a,1),1802(a,1,2)),flip(a)]. 1808 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1802(a,1),402(a,1,1))]. 1809 K(x,x \ 1) != y | x * (1 / x) = y. [para(1802(a,1),349(a,1))]. 1810 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1802(a,1),784(a,1,2))]. 1811 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [para(1802(a,1),958(a,1,2))]. 1812 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(62,a,401,a,b,1804,a)]. 1814 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1804(a,2),104(a,1,2))]. 1816 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1804(a,2),817(a,2,2))]. 1817 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1804(a,2),1124(a,1,2))]. 1818 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1804(a,2),1129(a,1,2))]. 1819 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1804(a,2),1410(a,1,1,2,1))]. 1820 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1804(a,2),1712(a,1,1,2))]. 1821 x * (1 / x) != y | K(x,x \ 1) = y. [para(1806(a,1),225(a,1,2))]. 1823 T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). [para(1806(a,1),1218(a,1,1,1)),flip(a)]. 1824 T(x,x \ 1) \ 1 = T(x \ 1,x). [para(109(a,2),1798(a,2,1)),flip(a)]. 1825 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(62,a,1499,a(flip),b,1799,a)]. 1826 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1810(a,1),104(a,1,2))]. 1827 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1810(a,1),105(a,2,2))]. 1828 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1824(a,1),354(a,1,2,1))]. 1829 (1 / x) / K(x,1 / x) = x \ 1. [hyper(176,a,1825,a)]. 1830 (x \ 1) * K(x,1 / x) = 1 / x. [hyper(131,a,1825,a)]. 1831 R(1 / x,x,1 / x) = x \ 1. [hyper(619,a,1829,a)]. 1832 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1831(a,1),366(a,1,1)),flip(a)]. 1833 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1802(a,1),1830(a,1,2))]. 1834 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(62,a,1541,a,b,1833,a)]. 1835 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1834(a,1),506(a,1,1))]. 1836 K(x,1 / x) != y | K(x,x \ 1) = y. [para(229(a,2),1821(a,1))]. 1837 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [hyper(273,a,1804,a,b,1765,a),flip(a)]. 1838 x / (1 / (1 / x)) = x * (1 / x). [hyper(62,a,1614,a(flip),b,1765,a)]. 1839 L(x,1 / x,x) = 1 / (1 / x). [hyper(555,a,1838,a)]. 1840 K(x,1 / x) * (1 / (1 / x)) = x. [para(1839(a,1),574(a,1,2))]. 1841 (x * (1 / x)) * T(1 / (1 / x),y) = x * ((1 / x) * T(x,y)). [para(1839(a,1),447(a,1,2,1))]. 1842 T(L(x,1 / x,x),x \ 1) = x. [para(1839(a,2),1754(a,1,1))]. 1843 L(T(x,x \ 1),1 / x,x) = x. [hyper(62,a,25,a,b,1842,a)]. 1844 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1802(a,1),1840(a,1,1))]. 1845 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(122,a,1844,a)]. 1846 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1844(a,1),94(a,1,1))]. 1848 (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. [para(1837(a,1),482(a,1,1,1))]. 1850 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1750(a,1),454(a,1,2))]. 1851 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1745(a,1),1493(a,2,1,1,2)),flip(a)]. 1852 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(192(a,2),1746(a,1,1,1)),flip(a)]. 1853 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(1445(a,2),1789(a,1,1))]. 1854 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,y),R(1 / x,x,T(x,y))) / T(x,y). [para(1801(a,2),1294(a,1,2,1))]. 1855 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(273,a,1755,a(flip),b,1803,a),flip(a)]. 1856 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1836,a,1855,a)]. 1857 K(1 / x,x) = K(x \ 1,x). [para(77(a,1),1856(a,1,2))]. 1858 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(62,a,1808,a,b,1857,a)]. 1859 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(74(a,1),1857(a,1,1)),flip(a)]. 1860 x * K(1 / x,x) = 1 / (1 / x). [para(1857(a,2),1774(a,1,2))]. 1861 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1859(a,1),1588(a,1,2,1))]. 1862 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1832(a,1),167(a,1,1))]. 1863 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1751(a,1),454(a,1,2))]. 1864 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1785(a,1),1684(a,1,1))]. 1865 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(229(a,2),1794(a,2,2))]. 1866 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1796(a,1),644(a,1,2))]. 1868 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(571,a,1852,a)]. 1869 T(x,K(x,1 / x)) = x. [hyper(62,a,1843,a(flip),b,1865,a),flip(a)]. 1870 T(x,y) * K(x,1 / x) = K(x,1 / x) * T(x,y). [para(1869(a,1),209(a,1,2,1)),flip(a)]. 1871 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(428,a,1793,a),flip(a)]. 1872 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(77(a,1),1800(a,1,1,1,1)),flip(a)]. 1873 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1800(a,1),110(a,1,1))]. 1874 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1804(a,2),1820(a,2,2))]. 1875 K(x,1 / x) * T(x,y) = x * (T(x,y) * (1 / x)). [hyper(62,a,945,a(flip),b,1870,a),flip(a)]. 1876 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(199(a,1),1871(a,1,1)),flip(a)]. 1877 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(122,a,1874,a)]. 1878 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(116,a,142,a(flip),b,1874,a)]. 1879 K(x,x \ 1) * T(x,y) = x * (T(x,y) * (1 / x)). [para(1802(a,1),1875(a,1,1))]. 1880 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1877(a,1),1410(a,1,1)),flip(a)]. 1882 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1878(a,1),383(a,1,1))]. 1883 T(x,y) \ T(T(x,y),x \ 1) = a(T(x,y),1 / x,x). [para(23(a,1),1797(a,1,2))]. 1884 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = T(x,y) \ T(T(x,x \ 1),y). [para(1797(a,1),236(a,1,2,2))]. 1886 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(199(a,1),1876(a,1,1)),flip(a)]. 1887 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1886(a,1),1660(a,1,1))]. 1888 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1887(a,1),1438(a,1,1,1))]. 1889 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(62,a,192,a(flip),b,1741,a)]. 1890 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1804(a,2),1753(a,2,1))]. 1891 K(x,1 / x) * T(1 / (1 / x),y) = x * ((1 / x) * T(x,y)). [para(229(a,2),1841(a,1,1))]. 1892 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1850(a,1),576(a,1,2))]. 1893 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(866,a,1888,a)]. 1894 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1439(a,1),1891(a,2,2))]. 1895 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1802(a,1),1894(a,1,1))]. 1896 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1845(a,2),1895(a,1,2,1))]. 1897 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(940(a,1),1893(a,1,2,1))]. 1898 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1893(a,1),1314(a,1,2))]. 1899 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1897(a,1),1683(a,1,1))]. 1900 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(330,a,1899,a)]. 1902 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(62,a,1898,a,b,1900,a)]. 1903 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1897(a,2),1902(a,1,2))]. 1904 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1896(a,1),1105(a,1,1))]. 1905 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(273,a,1804,a,b,1742,a),flip(a)]. 1906 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [hyper(273,a,671,a(flip),b,1819,a),flip(a)]. 1907 T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). [hyper(273,a,825,a(flip),b,1823,a),flip(a)]. 1908 T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). [para(1807(a,1),1907(a,1,1,2,1))]. 1909 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(273,a,1804,a,b,1862,a),flip(a)]. 1910 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(131,a,1905,a),flip(a)]. 1911 K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1804(a,2),1760(a,1,1))]. 1912 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(273,a,1597,a(flip),b,1853,a),flip(a)]. 1913 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(1496,a,1912,a)]. 1914 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1913(a,1),1495(a,1,1))]. 1916 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(62,a,1780,a,b,1863,a)]. 1917 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(923,a,1770,a(flip))]. 1918 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(10(a,1),1690(a,1,2,2,1,2,2)),flip(a)]. 1919 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(10(a,1),1724(a,2,1))]. 1920 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(273,a,71,a(flip),b,1919,a),flip(a)]. 1922 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1859(a,1),1861(a,2,1))]. 1923 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(122,a,1922,a)]. 1926 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1858(a,1),1904(a,1,2))]. 1927 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1858(a,1),1926(a,2,1,2))]. 1928 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1774(a,1),1927(a,2,1))]. 1930 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(448(a,1),775(a,1,1)),flip(a)]. 1931 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(130,a,1930,a)]. 1932 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(108(a,1),1931(a,1,1,1,1,2))]. 1933 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(211(a,1),1932(a,2,2))]. 1934 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(913,a,1339,a)]. 1935 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(913,a,1338,a)]. 1936 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [hyper(913,a,1324,a(flip)),flip(a)]. 1937 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(116,a,1306,a(flip),b,1934,a(flip)),flip(a)]. 1938 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1747(a,1),1934(a,2,1,2))]. 1939 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1890(a,1),1938(a,1,2))]. 1940 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(33,a,94,a(flip),b,1939,a),flip(a)]. 1941 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1804(a,2),1939(a,2,1))]. 1942 K(x,x \ 1) * (x \ T(x,y)) = T(x,y) * (1 / x). [hyper(33,a,1879,a(flip),b,1941,a),flip(a)]. 1943 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(9(a,1),1941(a,1,2,2)),flip(a)]. 1944 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(22(a,2),1941(a,1,2,2))]. 1945 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1941(a,1),42(a,1))]. 1946 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1807(a,1),1941(a,1,2,1))]. 1947 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1943(a,1),42(a,1)),flip(a)]. 1948 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1940(a,1),42(a,1)),flip(a)]. 1949 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(20(a,2),1937(a,1,1)),flip(a)]. 1950 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(213,a,1935,a),flip(a)]. 1951 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(22(a,2),1950(a,1,2,1,2)),flip(a)]. 1952 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(115,a,1951,a,b,xx)]. 1953 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(9(a,1),1952(a,1,2,1,2,1)),flip(a)]. 1954 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(116,a,1306,a(flip),b,1936,a),flip(a)]. 1955 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1469(a,2),1954(a,1,2,1)),flip(a)]. 1956 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(578(a,1),1955(a,1,1)),flip(a)]. 1957 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(11(a,1),1956(a,1,1)),flip(a)]. 1958 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1957(a,1),110(a,1,1))]. 1959 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(273,a,1125,a(flip),b,1958,a),flip(a)]. 1960 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(22(a,2),1959(a,2,2))]. 1961 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1807(a,1),1946(a,2,1))]. 1962 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(122,a,1961,a)]. 1963 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(62,a,1771,a,b,1962,a)]. 1964 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(62,a,1535,a(flip),b,1455,a)]. 1966 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1964(a,1),629(a,1,1))]. 1967 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(769,a,1966,a),flip(a)]. 1968 L(x \ 1,T(x,y),1 / x) = (x \ T(x,y)) / T(x,y). [para(880(a,1),1967(a,1,1)),flip(a)]. 1969 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(273,a,447,a(flip),b,1472,a),flip(a)]. 1970 T(x,x * (y * T(y \ 1,x))) = x. [para(1969(a,1),249(a,1,2))]. 1971 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1969(a,1),1169(a,1,1)),flip(a)]. 1972 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1144(a,1),1970(a,1,2,2))]. 1973 T(x,x * K(y,x)) = x. [para(1150(a,2),1970(a,1,2,2))]. 1974 T(x * K(y,x),x) = x * K(y,x). [hyper(53,a,1973,a)]. 1975 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(989(a,1),1972(a,1,2,2,2,2))]. 1976 T(x,x * (T(x,y) \ x)) = x. [para(10(a,1),1975(a,1,2,2,2))]. 1977 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1976(a,1),23(a,1,1)),flip(a)]. 1978 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(62,a,957,a(flip),b,1977,a)]. 1979 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(176,a,1978,a)]. 1981 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1292(a,1),1978(a,1,1,2,1))]. 1982 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1460,a,1979,a)]. 1983 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(62,a,1431,a(flip),b,1979,a)]. 1984 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1979(a,2),653(a,1,2))]. 1985 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1982(a,1),417(a,1,1)),flip(a)]. 1987 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1592(a,1),291(a,1))]. 1988 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1916(a,1),1631(a,1,1))]. 1989 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(273,a,1292,a(flip),b,1981,a),flip(a)]. 1990 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(62,a,1709,a(flip),b,1988,a)]. 1991 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(1988(a,1),43(a,1))]. 1992 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(227(a,2),1990(a,1,1))]. 1993 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(108(a,1),813(a,1,2,1,1)),flip(a)]. 1994 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(212,a,1358,a(flip),b,1993,a),flip(a)]. 1995 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(603,a,1994,a),flip(a)]. 1996 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1349(a,1),1994(a,1,2,1,1)),flip(a)]. 1997 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(880(a,1),1995(a,2,1,2))]. 1998 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1536(a,1),1997(a,1,1,2)),flip(a)]. 1999 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(34,a,1571,a(flip),b,1998,a),flip(a)]. 2000 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1999(a,1),110(a,1,1))]. 2001 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1999(a,2),1620(a,1,2))]. 2002 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(62,a,1617,a(flip),b,2000,a),flip(a)]. 2004 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(674(a,1),2002(a,1,1))]. 2005 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(77(a,1),2004(a,1,2))]. 2006 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [hyper(176,a,2005,a)]. 2007 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1221(a,2),2005(a,1,1))]. 2008 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(12(a,1),921(a,1,1,2,2)),flip(a)]. 2009 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1804(a,2),2008(a,1,1,1))]. 2010 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(10(a,1),1076(a,1,2,1)),flip(a)]. 2011 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(110(a,1),2010(a,1,1)),flip(a)]. 2012 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(110(a,1),2011(a,1,2)),flip(a)]. 2013 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(9(a,1),2012(a,1,1)),flip(a)]. 2014 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(9(a,1),2013(a,1,2)),flip(a)]. 2015 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(814(a,1),1113(a,1,2))]. 2016 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(16(a,2),2015(a,1,2,1)),flip(a)]. 2017 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(423(a,1),1172(a,1,1)),flip(a)]. 2018 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(22(a,2),1194(a,1,2,1,1)),flip(a)]. 2019 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(809(a,1),2018(a,1,2))]. 2020 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1623,a,2019,a),flip(a)]. 2021 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(9(a,1),2020(a,1,2,1,2)),flip(a)]. 2022 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(199(a,1),2021(a,1,1,2,1,2)),flip(a)]. 2023 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(10(a,1),1199(a,1,2,2)),flip(a)]. 2024 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(10(a,1),2023(a,1,3,2)),flip(a)]. 2026 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(212,a,1324,a,b,1204,a(flip))]. 2027 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(212,a,1338,a(flip),b,1204,a(flip)),flip(a)]. 2028 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(8(a,1),1204(a,1,2,1,2)),flip(a)]. 2029 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(212,a,1339,a(flip),b,2028,a),flip(a)]. 2030 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(2029(a,1),42(a,1))]. 2031 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(192(a,1),2029(a,1,2)),flip(a)]. 2032 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(457(a,1),2029(a,2,1,2))]. 2033 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1439(a,1),2031(a,2,2,1))]. 2034 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(10(a,1),1323(a,1,2,1)),flip(a)]. 2035 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(128,a,2034,a)]. 2037 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(62,a,893,a(flip),b,2035,a),flip(a)]. 2038 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(590(a,1),1357(a,2,2,1))]. 2039 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(877(a,1),1561(a,2,1))]. 2040 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(33,a,261,a,b,2039,a),flip(a)]. 2041 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(197(a,1),1725(a,2,1))]. 2042 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(273,a,71,a(flip),b,2041,a),flip(a)]. 2044 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2042(a,1),1014(a,1,1)),flip(a)]. 2045 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(62,a,1252,a(flip),b,2044,a)]. 2046 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(77(a,1),2045(a,1,1,2,1))]. 2047 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(77(a,1),2046(a,2,2,1))]. 2048 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(131,a,2047,a)]. 2050 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2047(a,1),1920(a,1,1))]. 2051 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(11(a,1),2050(a,1,1,2))]. 2052 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(116,a,11,a(flip),b,2048,a),flip(a)]. 2053 K(1 / x,(y / (x * y)) * x) = 1. [para(11(a,1),2051(a,1,2,2))]. 2054 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(55,a,2053,a)]. 2055 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1299,a,2054,a)]. 2056 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(10(a,1),2055(a,1,3,2))]. 2057 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(193(a,2),2055(a,1,3))]. 2058 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2055(a,1),355(a,1,2))]. 2059 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2056(a,1),355(a,1,2))]. 2060 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2057(a,1),354(a,1,2))]. 2061 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2058(a,1),1909(a,1,2))]. 2062 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [hyper(131,a,2061,a),flip(a)]. 2064 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1373,a,2060,a)]. 2065 T(1 / (1 / x),y / (x * y)) = x. [para(193(a,1),2064(a,1,2))]. 2066 T(1 / (1 / (x / y)),y / x) = x / y. [para(364(a,1),2064(a,1,2))]. 2067 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(2064(a,1),1757(a,1,1)),flip(a)]. 2068 T(x,y / (x * y)) = T(x,x \ 1). [para(2065(a,1),1757(a,1,1)),flip(a)]. 2069 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(273,a,109,a(flip),b,2068,a),flip(a)]. 2070 T(x,(x \ y) / y) = T(x,x \ 1). [para(10(a,1),2068(a,1,2,2))]. 2071 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2068(a,1),1163(a,2,1))]. 2072 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(12(a,1),2069(a,1,2,2))]. 2073 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [para(2070(a,1),108(a,1,2))]. 2075 T(T(x,y),R(1 / x,x,z)) = T(T(x,x \ 1),y). [para(2067(a,1),23(a,1,1)),flip(a)]. 2076 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [hyper(245,a,2066,a)]. 2078 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(2072(a,1),108(a,1,2))]. 2079 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2072(a,1),418(a,1,1))]. 2080 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(11(a,1),2052(a,1,1)),flip(a)]. 2081 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2080(a,1),1494(a,1,1,2))]. 2082 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(33,a,625,a(flip),b,2079,a(flip))]. 2084 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(62,a,621,a(flip),b,2081,a),flip(a)]. 2086 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(129,a,2084,a)]. 2089 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(9(a,1),1851(a,1,1,1))]. 2090 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(212,a,2089,a,b,10,a)]. 2091 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(128,a,2089,a)]. 2094 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(800,a,869,a),flip(a)]. 2095 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(12(a,1),2094(a,1,2,1,2,2)),flip(a)]. 2096 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(779(a,1),2094(a,2,1))]. 2097 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(279,a,2095,a),flip(a)]. 2098 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2095(a,1),279(a,1))]. 2099 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(987,a,2097,a),flip(a)]. 2100 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(62,a,1098,a(flip),b,2097,a)]. 2101 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(212,a,2099,a,b,10,a)]. 2103 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(490(a,2),2100(a,2,1,2,1)),flip(a)]. 2104 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(982(a,1),2098(a,1))]. 2106 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(279,a,2096,a),flip(a)]. 2107 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(62,a,1098,a(flip),b,2096,a)]. 2108 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(7(a,1),2096(a,1,2,1,2,2))]. 2109 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(62,a,1097,a(flip),b,2108,a)]. 2110 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(62,a,1096,a(flip),b,2108,a),flip(a)]. 2111 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(212,a,2108,a(flip),b,1694,a(flip))]. 2113 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2108(a,1),2100(a,1,2)),flip(a)]. 2114 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(273,a,1330,a(flip),b,2111,a)]. 2115 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(10(a,1),2111(a,1,1,2,1)),flip(a)]. 2116 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(62,a,1330,a(flip),b,2115,a)]. 2117 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(940(a,1),2116(a,1,2,1))]. 2118 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1804(a,2),2117(a,2,1))]. 2119 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2118(a,1),1903(a,1,2))]. 2120 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1191(a,1),2110(a,1,1)),flip(a)]. 2121 T(x,y) \ T(T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(2114(a,1),1521(a,1,2,1))]. 2122 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(10(a,1),2107(a,1,2,2,1)),flip(a)]. 2123 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(96(a,2),2122(a,2,2,2,1))]. 2124 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2108(a,1),2109(a,1,2)),flip(a)]. 2125 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1330(a,2),2124(a,1,1))]. 2126 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1191(a,1),2120(a,1,2)),flip(a)]. 2127 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(128,a,2126,a)]. 2128 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2127(a,1),796(a,1,1))]. 2129 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(62,a,259,a(flip),b,2128,a),flip(a)]. 2130 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2129(a,1),629(a,1,1))]. 2131 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(383,a,2130,a),flip(a)]. 2132 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(273,a,16,a,b,2131,a)]. 2133 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(16(a,2),2132(a,2,1,2)),flip(a)]. 2134 T(1 / x,K(y,x)) = 1 / x. [hyper(239,a,2133,a)]. 2136 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(2133(a,1),81(a,1,1,1))]. 2137 K(1 / x,K(y,x)) = 1. [hyper(54,a,2134,a)]. 2139 K(x,K(y,x \ 1)) = 1. [para(74(a,1),2137(a,1,1))]. 2140 T(x,K(y,x \ 1)) = x. [hyper(55,a,2139,a)]. 2141 T(T(x,y),K(z,x \ 1)) = T(x,y). [para(2140(a,1),23(a,1,1)),flip(a)]. 2142 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2140(a,1),210(a,1,2,1)),flip(a)]. 2143 T(K(x,y \ 1),T(y,z)) = K(x,y \ 1). [hyper(53,a,2141,a)]. 2144 T(T(x,y),z \ T(z,x \ 1)) = T(x,y). [para(1226(a,1),2141(a,1,2))]. 2145 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2136(a,1),765(a,1,1,1))]. 2146 T(T(x,y),a(T(x,z),1 / x,x)) = T(x,y). [para(1883(a,1),2144(a,1,2))]. 2147 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(62,a,1817,a(flip),b,2142,a),flip(a)]. 2148 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2142(a,1),42(a,1)),flip(a)]. 2149 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(291,a,2145,a)]. 2150 T(K(x,y),z / (y * z)) = K(x,y). [para(193(a,1),2149(a,1,2))]. 2151 T(K(x,y),y \ 1) = K(x,y). [para(360(a,1),2149(a,1,2))]. 2152 T(x \ 1,K(y,x)) = x \ 1. [hyper(53,a,2151,a)]. 2153 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2152(a,1),1566(a,1,1)),flip(a)]. 2155 (x / (y * x)) * K(z,y) != u | K(z,y) * (x / (y * x)) = u. [para(2150(a,1),252(a,1,2))]. 2156 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1945,a,2147,a)]. 2157 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(273,a,1872,a(flip),b,2156,a),flip(a)]. 2158 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(62,a,832,a(flip),b,916,a),flip(a)]. 2159 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2158(a,1),801(a,1,2))]. 2160 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(273,a,447,a(flip),b,1473,a),flip(a)]. 2161 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(1439(a,1),2160(a,2,2))]. 2162 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2161(a,1),1170(a,1,1)),flip(a)]. 2163 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(669(a,1),1595(a,1,1)),flip(a)]. 2164 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1467(a,1),1984(a,1,1))]. 2165 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(967(a,1),2164(a,1,1))]. 2166 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1979(a,1),2165(a,1,2))]. 2167 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(62,a,25,a,b,2166,a)]. 2168 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1976(a,1),2167(a,1,1))]. 2169 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(62,a,967,a,b,2168,a)]. 2170 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2168(a,1),2016(a,1,2))]. 2171 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(62,a,1985,a(flip),b,2169,a),flip(a)]. 2172 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(22(a,2),1197(a,1,1,2,2,1,2)),flip(a)]. 2173 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). [para(2151(a,1),1515(a,1,2,1,2))]. 2174 T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). [para(309(a,1),2173(a,1,2,1)),flip(a)]. 2175 T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. [hyper(53,a,2174,a)]. 2176 T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. [hyper(273,a,77,a(flip),b,2175,a),flip(a)]. 2177 T(x,((1 / x) \ 1) * T(1 / x,y)) = x. [para(77(a,1),2176(a,1,1))]. 2178 T(x,x * T(1 / x,y)) = x. [para(77(a,1),2177(a,1,2,1))]. 2179 T(x * T(1 / x,y),x) = x * T(1 / x,y). [hyper(53,a,2178,a)]. 2181 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(62,a,1644,a,b,2179,a)]. 2182 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1490(a,2),1558(a,2,2,1))]. 2183 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(70(a,1),1664(a,1,1)),flip(a)]. 2184 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(108(a,1),2183(a,1,1))]. 2186 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(9(a,1),2184(a,1,1,1)),flip(a)]. 2187 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2184(a,1),43(a,1))]. 2188 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2186(a,2),43(a,1))]. 2189 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1015(a,1),1703(a,1,2,1)),flip(a)]. 2190 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(115,a,69,a(flip),b,2189,a),flip(a)]. 2191 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2190(a,1),42(a,1))]. 2192 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1070(a,1),1708(a,1,2,1)),flip(a)]. 2193 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(115,a,69,a(flip),b,2192,a),flip(a)]. 2194 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(1781(a,1),1787(a,1,2,2))]. 2195 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1804(a,2),1816(a,2,1,1,2))]. 2196 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1969(a,1),1971(a,1,2)),flip(a)]. 2197 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(273,a,9,a(flip),b,2196,a),flip(a)]. 2198 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(115,a,9,a(flip),b,2196,a)]. 2200 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(877(a,1),2197(a,1,1,2)),flip(a)]. 2201 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(1154(a,2),2198(a,1,1,2))]. 2202 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(62,a,877,a(flip),b,2200,a),flip(a)]. 2203 (x * K(y,x)) \ K(y,x) = x \ 1. [para(1154(a,2),2201(a,1,2))]. 2204 K(x,y) / (y \ 1) = y * K(x,y). [hyper(176,a,2203,a)]. 2205 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(131,a,2203,a)]. 2206 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(2203(a,1),284(a,1,2))]. 2207 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [para(77(a,1),2204(a,1,2)),flip(a)]. 2208 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2204(a,1),1220(a,1,1)),flip(a)]. 2209 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(2205(a,1),2163(a,1,1))]. 2210 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(12(a,1),2106(a,2,2,1,2,1))]. 2211 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(128,a,2210,a)]. 2212 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(7(a,1),2211(a,1,1,2,1,2,2)),flip(a)]. 2213 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2152(a,1),2153(a,2,2,1,1))]. 2214 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(273,a,877,a(flip),b,2213,a),flip(a)]. 2216 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(877(a,1),2214(a,1,1))]. 2217 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(53,a,2216,a)]. 2218 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2216(a,1),677(a,1,1)),flip(a)]. 2219 K(K(x,y),y \ T(y,z)) = 1. [hyper(54,a,2217,a)]. 2220 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1292(a,1),2219(a,1,2,2))]. 2221 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(22(a,2),2220(a,1,2))]. 2222 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(273,a,676,a,b,2218,a),flip(a)]. 2223 T(K(x,y),K(z,x)) = K(x,y). [para(16(a,2),2222(a,1,1))]. 2224 T(K(x,y),K(y,z)) = K(x,y). [hyper(53,a,2223,a)]. 2226 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2223(a,1),108(a,1,2)),flip(a)]. 2227 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2223(a,1),252(a,1,2))]. 2228 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2223(a,1),210(a,1,2,1)),flip(a)]. 2230 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2224(a,1),252(a,1,2))]. 2231 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2224(a,1),209(a,1,2,1)),flip(a)]. 2232 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2224(a,1),210(a,1,2,1)),flip(a)]. 2233 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2224(a,1),211(a,1,2,1)),flip(a)]. 2234 K(x,y) * T(K(z,x),u) != w | T(K(z,x),u) * K(x,y) = w. [para(2224(a,1),379(a,1,2,1))]. 2235 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2224(a,1),380(a,1,2,1))]. 2238 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1856(a,1),2157(a,1,1))]. 2239 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(904(a,1),2238(a,1,2))]. 2240 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(62,a,1992,a(flip),b,2239,a)]. 2241 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(273,a,1868,a(flip),b,2240,a),flip(a)]. 2242 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(1991,a,2241,a)]. 2243 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(273,a,192,a(flip),b,2242,a)]. 2244 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(192(a,1),2243(a,2,2,2)),flip(a)]. 2245 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(273,a,8,a,b,2244,a),flip(a)]. 2246 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(122,a,2244,a)]. 2247 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2246(a,1),256(a,1,1))]. 2248 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(232(a,1),2247(a,2,1))]. 2249 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2161(a,1),2162(a,1,2,1)),flip(a)]. 2250 (T((x / (1 / y)) / y,z) * y) * (1 / y) = K(y,y \ 1) * T(K(y,y \ 1) \ x,z). [hyper(273,a,417,a(flip),b,2195,a),flip(a)]. 2251 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [hyper(62,a,1423,a(flip),b,2250,a),flip(a)]. 2252 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(1646(a,1),2251(a,2,2))]. 2253 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(273,a,1518,a(flip),b,2252,a),flip(a)]. 2254 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(672,a,2253,a),flip(a)]. 2255 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(9(a,1),2253(a,1,2,1)),flip(a)]. 2256 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(1663,a,2254,a),flip(a)]. 2257 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(110(a,1),2254(a,2,1))]. 2258 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2255(a,2),1944(a,1,2))]. 2259 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1882,a,2257,a)]. 2260 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(131,a,2259,a)]. 2261 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(33,a,1817,a(flip),b,2260,a),flip(a)]. 2262 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(9(a,1),2260(a,1,2,1)),flip(a)]. 2263 R(x,y,K(x,x \ 1)) = x. [hyper(478,a,2262,a)]. 2264 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(450,a,2262,a)]. 2265 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2263(a,1),27(a,2,1))]. 2266 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1856(a,1),2263(a,1,3))]. 2267 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2264(a,1),506(a,1,2))]. 2268 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(62,a,1880,a(flip),b,2265,a),flip(a)]. 2270 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1807(a,1),2268(a,1,2,2))]. 2271 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2062(a,2),2268(a,1,2)),flip(a)]. 2272 ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(x \ 1,x)). [para(2266(a,1),104(a,1,1)),flip(a)]. 2273 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2271(a,1),205(a,1,2,1))]. 2274 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(252,a,2258,a)]. 2275 L(x,y,K(x,x \ 1)) = x. [hyper(450,a,2274,a)]. 2276 K(x,x \ 1) * y != (K(x,x \ 1) * z) * x | z * x = y. [para(2274(a,2),42(a,1)),flip(a)]. 2278 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1856(a,1),2275(a,1,3))]. 2279 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2278(a,1),25(a,2,1))]. 2280 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(435(a,1),2256(a,1,1,1)),flip(a)]. 2281 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(435(a,1),2280(a,1,1)),flip(a)]. 2282 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2281(a,2),1590(a,1,2))]. 2283 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(252,a,2282,a)]. 2284 L(x,y,K(x \ 1,x)) = x. [hyper(450,a,2283,a)]. 2285 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2284(a,1),25(a,2,1))]. 2286 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1987,a,2285,a)]. 2289 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(273,a,474,a(flip),b,662,a),flip(a)]. 2290 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1010,a,2289,a)]. 2291 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(108(a,1),2290(a,1,2)),flip(a)]. 2292 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(912,a,389,a),flip(a)]. 2293 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(912,a,2245,a(flip))]. 2294 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(62,a,1129,a(flip),b,2292,a)]. 2295 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(668(a,1),2294(a,1,2)),flip(a)]. 2296 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(115,a,2293,a(flip),b,2295,a(flip)),flip(a)]. 2297 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(273,a,109,a,b,2296,a),flip(a)]. 2298 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(116,a,2296,a(flip),b,2089,a),flip(a)]. 2299 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(10(a,1),2296(a,1,2,1))]. 2300 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(192(a,2),2296(a,1,2))]. 2301 T(1 / (1 / x),(y * x) \ y) = x. [hyper(1759,a,2297,a(flip))]. 2302 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(86(a,1),2297(a,1,2,1))]. 2303 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(192(a,2),2297(a,1,2))]. 2304 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [hyper(245,a,2301,a)]. 2305 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(273,a,1768,a(flip),b,2298,a),flip(a)]. 2307 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(10(a,1),2305(a,1,2,1)),flip(a)]. 2308 K(x,y \ (y / x)) = K(x,x \ 1). [para(12(a,1),2305(a,1,2,1))]. 2309 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(108(a,1),2305(a,1,2,1)),flip(a)]. 2310 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(973(a,2),2305(a,1,2,1))]. 2311 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(62,a,622,a,b,2308,a)]. 2312 1 / T(x \ y,y \ x) = (x \ y) \ 1. [hyper(176,a,2299,a(flip))]. 2313 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(77(a,1),2299(a,1,2))]. 2315 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2299(a,1),252(a,1,2))]. 2316 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2299(a,1),1145(a,1,2)),flip(a)]. 2317 T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(2299(a,1),1646(a,1,2)),flip(a)]. 2318 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(9(a,1),2312(a,1,2,2))]. 2319 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1809,a,2307,a)]. 2321 x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [para(2313(a,1),108(a,1,2))]. 2322 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(62,a,1351,a(flip),b,2304,a)]. 2324 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(10(a,1),2322(a,1,2,1))]. 2325 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(9(a,1),2324(a,1,2))]. 2326 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2324(a,1),1910(a,1,2)),flip(a)]. 2327 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(16(a,2),2302(a,1,2)),flip(a)]. 2328 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(394,a,2327,a),flip(a)]. 2330 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(62,a,2224,a(flip),b,2328,a),flip(a)]. 2334 1 / (1 / K(x,y)) = K(x,y). [para(2330(a,1),172(a,1,2,2))]. 2335 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2307(a,1),2326(a,1,2))]. 2336 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(115,a,2335,a,b,xx)]. 2337 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2311(a,1),2335(a,1,2))]. 2339 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2336(a,1),440(a,1,1,2))]. 2340 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(169(a,1),2337(a,1,1)),flip(a)]. 2341 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(62,a,1749,a(flip),b,2325,a)]. 2343 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(74(a,1),2341(a,1,1))]. 2344 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). [para(192(a,2),2341(a,2,2,2)),flip(a)]. 2345 (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). [para(2344(a,1),175(a,1,1,1))]. 2346 L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(236(a,1),2345(a,1,1,1,1)),flip(a)]. 2347 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1468(a,1),2310(a,1,2))]. 2348 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(273,a,2307,a(flip),b,2347,a),flip(a)]. 2349 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(9(a,1),2339(a,1,1,2,2,2))]. 2350 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(1763(a,1),2349(a,1,1))]. 2351 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(1824(a,1),2346(a,1,1))]. 2352 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1409(a,1),1234(a,2,1))]. 2353 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1427(a,1),2352(a,2,1,1))]. 2354 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(273,a,20,a,b,2353,a)]. 2355 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(273,a,1221,a(flip),b,2354,a)]. 2356 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(71(a,1),2354(a,2,1,2))]. 2357 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1071(a,1),2354(a,2,1,2))]. 2358 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(252,a,2355,a),flip(a)]. 2360 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2356(a,1),104(a,1,1))]. 2361 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1010,a,1240,a),flip(a)]. 2362 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(669(a,1),2361(a,2,2))]. 2363 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(450,a,2362,a)]. 2364 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(71(a,1),2363(a,2,1,2))]. 2365 K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). [para(307(a,1),2363(a,1,1)),flip(a)]. 2366 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(877(a,1),2363(a,1,1))]. 2367 K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). [para(1266(a,2),2365(a,1,1))]. 2368 L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). [para(2284(a,1),2367(a,1,1,1,2)),flip(a)]. 2369 L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). [para(110(a,1),2368(a,2,1))]. 2370 (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). [para(2369(a,1),94(a,1,2))]. 2371 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(11(a,1),2366(a,2,1,2))]. 2372 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(411(a,1),2366(a,2,1,2))]. 2373 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2090(a,2),2372(a,1,1))]. 2374 T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). [hyper(212,a,2370,a,b,xx)]. 2376 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(62,a,1352,a(flip),b,1272,a)]. 2378 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2376(a,1),779(a,1,1)),flip(a)]. 2379 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(273,a,581,a(flip),b,2378,a),flip(a)]. 2380 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(62,a,1333,a(flip),b,2379,a),flip(a)]. 2381 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2344(a,1),1775(a,2,2))]. 2382 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = a(T(x,y),1 / x,x). [hyper(273,a,1797,a(flip),b,1884,a),flip(a)]. 2383 T(T(x,x \ 1),y) / T(x,y) = a(T(x,y),1 / x,x). [para(2146(a,1),2382(a,1,2))]. 2385 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(227(a,2),914(a,1,2,1,1))]. 2386 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(22(a,2),1233(a,1,1))]. 2387 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2271(a,1),2386(a,2,2))]. 2388 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(227(a,2),1254(a,1,2,1,1))]. 2389 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1635(a,1),1379(a,1,1))]. 2390 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(87(a,1),2038(a,1,1))]. 2391 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(87(a,1),2390(a,1,2,1,1))]. 2392 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(273,a,1935,a(flip),b,2385,a),flip(a)]. 2393 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(273,a,1354,a(flip),b,2388,a),flip(a)]. 2394 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(903(a,1),2392(a,2,1))]. 2395 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1179(a,1),2393(a,2,1))]. 2396 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(273,a,476,a(flip),b,762,a),flip(a)]. 2397 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1118,a,2396,a)]. 2398 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1391(a,1),2397(a,2,1,1))]. 2399 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(27(a,2),1188(a,2,2,2))]. 2400 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [hyper(62,a,1492,a(flip),b,1598,a),flip(a)]. 2401 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,x \ 1),y) / T(x,y). [para(2075(a,1),1854(a,2,1))]. 2402 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = a(T(x,y),1 / x,x). [hyper(273,a,2383,a(flip),b,2401,a),flip(a)]. 2404 (1 / x) \ ((T(x,y) * (1 / x)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1801(a,1),2402(a,1,2,1))]. 2405 (1 / x) \ L(1 / x,T(x,y),1 / x) = a(T(x,y),1 / x,x). [para(1964(a,1),2404(a,1,2))]. 2406 x * L(x \ 1,T(x,y),1 / x) = a(T(x,y),1 / x,x). [hyper(62,a,904,a(flip),b,2405,a)]. 2407 x * ((x \ T(x,y)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1968(a,1),2406(a,1,2))]. 2408 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(586(a,1),2399(a,2,2))]. 2409 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(314(a,1),2408(a,2,2))]. 2410 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(1491(a,1),1764(a,1,2)),flip(a)]. 2411 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1755(a,1),2410(a,1,2,1,2))]. 2412 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(309(a,1),2411(a,1,2,1)),flip(a)]. 2413 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2412(a,1),18(a,2,1)),flip(a)]. 2414 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2412(a,1),1557(a,1,1))]. 2415 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1999(a,1),2040(a,1,2,2)),flip(a)]. 2416 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(115,a,2001,a(flip),b,2415,a(flip)),flip(a)]. 2417 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(62,a,1558,a(flip),b,2182,a),flip(a)]. 2418 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2007(a,1),2417(a,1,2))]. 2419 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(62,a,2017,a(flip),b,2418,a),flip(a)]. 2420 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(877(a,1),2208(a,2,2))]. 2421 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2204(a,1),2420(a,1,2,1,2))]. 2422 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(22(a,2),2421(a,1,2,1))]. 2423 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1342(a,1),2371(a,1,1,2)),flip(a)]. 2424 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(66(a,1),2423(a,2,1))]. 2425 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(273,a,334,a(flip),b,2424,a),flip(a)]. 2428 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2425(a,1),260(a,1,2)),flip(a)]. 2429 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(273,a,8,a(flip),b,2428,a),flip(a)]. 2430 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(273,a,1154,a,b,1155,a),flip(a)]. 2431 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(192(a,1),2430(a,1,2,1))]. 2433 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2431(a,1),383(a,1,1))]. 2434 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2006(a,1),1245(a,1,1,2))]. 2435 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(1491(a,1),2434(a,1,1,2)),flip(a)]. 2436 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(1450(a,1),2435(a,2,1))]. 2437 T(x,y) \ K(T(x,y),1 / x) = T(1 / (1 / x),y) \ 1. [hyper(115,a,2436,a(flip),b,1172,a(flip))]. 2438 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(423(a,1),2436(a,1,1))]. 2439 ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(301(a,1),1670(a,1,1,1,2))]. 2440 (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). [para(77(a,1),2439(a,1,2)),flip(a)]. 2442 ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. [para(199(a,1),2440(a,1,2)),flip(a)]. 2443 (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). [para(199(a,1),2442(a,1,1)),flip(a)]. 2444 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(116,a,236,a(flip),b,2443,a),flip(a)]. 2445 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. [hyper(62,a,268,a(flip),b,2444,a)]. 2446 (T(x,y) \ x) / x != 1 / z | (T(x,y) \ x) \ x = z. [para(2445(a,1),44(a,1))]. 2447 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(273,a,448,a(flip),b,1361,a),flip(a)]. 2448 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(211(a,1),2447(a,2,2))]. 2449 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2270(a,1),1892(a,1,2,2,2)),flip(a)]. 2450 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(11(a,1),1476(a,1,1))]. 2451 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(11(a,1),2450(a,1,2,1,1)),flip(a)]. 2452 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(9(a,1),2451(a,2,2,1))]. 2453 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(12(a,1),2452(a,1,1,1))]. 2454 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1349(a,1),1996(a,2,1))]. 2455 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(273,a,1070,a(flip),b,2454,a),flip(a)]. 2457 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1070(a,1),2455(a,1,1))]. 2458 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(53,a,2457,a)]. 2459 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1717(a,1),2273(a,1,2))]. 2460 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(709,a,2459,a),flip(a)]. 2461 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(62,a,2387,a(flip),b,2460,a)]. 2462 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(94(a,1),1120(a,1,2,1,1))]. 2463 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1118,a,2462,a),flip(a)]. 2464 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(802(a,1),2463(a,2,2))]. 2465 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(450,a,2464,a),flip(a)]. 2466 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(62,a,1019,a(flip),b,2465,a),flip(a)]. 2467 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1353(a,1),2466(a,1,1,2)),flip(a)]. 2468 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(273,a,2364,a(flip),b,2467,a),flip(a)]. 2469 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(34,a,227,a(flip),b,2468,a),flip(a)]. 2470 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(77(a,1),2469(a,1,1))]. 2471 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(904(a,1),2470(a,1,2))]. 2472 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(129,a,2471,a)]. 2473 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(34,a,2429,a,b,2472,a)]. 2475 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1301(a,1),2473(a,1,1)),flip(a)]. 2476 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(273,a,2100,a(flip),b,2103,a),flip(a)]. 2477 T(x,y) \ T(T(x * ((x \ T(x,y)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(880(a,1),2121(a,1,2,1,1,2,1))]. 2478 T(x,y) \ T(T(a(T(x,y),1 / x,x),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(2407(a,1),2477(a,1,2,1,1))]. 2479 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1824(a,1),2357(a,1,1,2,1))]. 2480 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1392(a,1),2479(a,1,1,2)),flip(a)]. 2482 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(104(a,1),1288(a,1,1,1,2,2)),flip(a)]. 2483 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(273,a,779,a(flip),b,2482,a),flip(a)]. 2484 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(273,a,2096,a(flip),b,2483,a),flip(a)]. 2485 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(779(a,1),2484(a,1,1))]. 2486 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2108(a,1),2485(a,2,1))]. 2487 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(34,a,104,a,b,2486,a),flip(a)]. 2488 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1331,a,2487,a),flip(a)]. 2489 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(10(a,1),2487(a,1,2,1)),flip(a)]. 2490 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(273,a,1804,a,b,2489,a),flip(a)]. 2491 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1063(a,1),2490(a,1,1,2,1))]. 2492 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(20(a,2),1312(a,2,2,1,1))]. 2493 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1325(a,1),2492(a,1,1))]. 2494 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1358(a,1),2493(a,1,1,1))]. 2495 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(482,a,2494,a),flip(a)]. 2497 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(62,a,1072,a(flip),b,2495,a),flip(a)]. 2498 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1394(a,1),2497(a,1,1,2)),flip(a)]. 2499 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(34,a,2358,a(flip),b,2498,a),flip(a)]. 2500 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(94(a,1),1315(a,1,2,1,2,1))]. 2501 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(62,a,1097,a(flip),b,2500,a),flip(a)]. 2502 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1096(a,1),2501(a,2,2))]. 2503 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(450,a,2502,a),flip(a)]. 2504 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(18(a,2),1327(a,2,2,1,1))]. 2505 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(895(a,1),2504(a,1,2))]. 2506 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(806(a,1),2505(a,1,2,2))]. 2507 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(453,a,2506,a),flip(a)]. 2509 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1271(a,1),2507(a,1,2))]. 2510 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1781(a,1),2507(a,2,1,2))]. 2512 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(8(a,1),2509(a,1,2,2)),flip(a)]. 2513 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2380(a,1),2512(a,1,1)),flip(a)]. 2514 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(20(a,2),1949(a,2,2,1,1))]. 2515 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1338(a,1),2514(a,1,1))]. 2516 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1339(a,1),2515(a,1,1,1))]. 2517 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(482,a,2516,a),flip(a)]. 2518 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(683(a,1),2517(a,2,1,2))]. 2519 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1374(a,1),2517(a,1,2))]. 2520 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1075(a,1),2518(a,1,2))]. 2521 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(177(a,1),2520(a,2,1,2))]. 2522 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1804(a,2),2521(a,2,1))]. 2523 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(8(a,1),2519(a,1,2,2)),flip(a)]. 2524 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(169(a,1),2340(a,1,2,2,2,2))]. 2526 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(877(a,1),2209(a,2,1,2))]. 2527 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(1491(a,1),1562(a,2,1))]. 2528 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(9(a,1),2527(a,1,2,1)),flip(a)]. 2529 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(273,a,807,a(flip),b,2528,a),flip(a)]. 2530 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2091(a,1),2529(a,1,1))]. 2531 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2305(a,1),2530(a,1,1))]. 2532 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [hyper(253,a,2531,a)]. 2534 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1546(a,1),2532(a,1,2))]. 2535 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(122,a,2534,a)]. 2537 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(62,a,2381,a,b,2535,a)]. 2539 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2537(a,1),1246(a,1,2)),flip(a)]. 2540 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2300(a,1),2539(a,1,2)),flip(a)]. 2541 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2303(a,1),2539(a,1,2)),flip(a)]. 2543 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(279,a,2540,a),flip(a)]. 2544 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(62,a,1874,a,b,2540,a)]. 2545 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(2276,a,2540,a(flip))]. 2547 x * K(x,x \ 1) = T(x,x \ 1). [hyper(273,a,109,a,b,2545,a),flip(a)]. 2548 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(122,a,2545,a)]. 2549 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(115,a,2069,a,b,2545,a)]. 2551 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(2545(a,1),288(a,1,2))]. 2553 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = R(x,K(x,x \ 1),y). [para(2547(a,1),20(a,2,1,1)),flip(a)]. 2555 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(273,a,1802,a,b,2548,a),flip(a)]. 2556 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(115,a,2548,a,b,1804,a(flip))]. 2557 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(115,a,2555,a(flip),b,934,a),flip(a)]. 2558 K(x,y / (x * y)) = K(x,x \ 1). [hyper(62,a,2461,a(flip),b,2549,a)]. 2560 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(12(a,1),2558(a,1,2,2)),flip(a)]. 2561 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(279,a,2541,a),flip(a)]. 2562 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(62,a,1874,a,b,2541,a)]. 2564 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(116,a,317,a(flip),b,2544,a),flip(a)]. 2566 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1777(a,2),2544(a,2,2))]. 2567 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(11(a,1),2560(a,2,2))]. 2568 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2560(a,1),2009(a,1,1,1))]. 2569 R(x,K(y,y \ 1),y) = x. [hyper(478,a,2566,a)]. 2570 L(x,K(x,x \ 1),y) = x. [hyper(450,a,2566,a)]. 2571 R(x,K(y \ 1,y),1 / y) = x. [para(1856(a,1),2569(a,1,2))]. 2572 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1856(a,1),2570(a,1,2))]. 2573 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2571(a,1),1772(a,1,1)),flip(a)]. 2574 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2572(a,1),2449(a,1,1)),flip(a)]. 2575 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(116,a,12,a(flip),b,2573,a),flip(a)]. 2576 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(34,a,1551,a(flip),b,2573,a),flip(a)]. 2577 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1632,a,2576,a)]. 2578 R(x,1 / y,K(y \ 1,y)) = x. [hyper(751,a,2576,a)]. 2579 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(279,a,2576,a),flip(a)]. 2580 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1805(a,1),2578(a,1,3))]. 2581 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(560,a,2577,a)]. 2582 R(x / (1 / y),y \ 1,y) = x * y. [hyper(278,a,2577,a),flip(a)]. 2583 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(129,a,2577,a)]. 2585 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(74(a,1),2581(a,1,2)),flip(a)]. 2586 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2581(a,1),644(a,1,2))]. 2587 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(62,a,1827,a(flip),b,2580,a)]. 2588 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2580(a,1),1826(a,1,1)),flip(a)]. 2589 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [para(2582(a,1),27(a,2,1))]. 2590 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2582(a,1),1575(a,1,1,2))]. 2591 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2133(a,1),2582(a,1,1)),flip(a)]. 2592 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2573(a,1),2583(a,1,1)),flip(a)]. 2593 (x \ 1) * y != z * K(x \ 1,x) | T(z / (1 / x),x \ 1) = y. [para(2579(a,1),213(a,2))]. 2596 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(62,a,1878,a(flip),b,2587,a)]. 2597 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2587(a,1),821(a,1,1,1))]. 2599 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(62,a,2337,a(flip),b,2596,a)]. 2600 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(115,a,2596,a(flip),b,2337,a(flip)),flip(a)]. 2601 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(74(a,1),2599(a,1,2,2,2,2)),flip(a)]. 2602 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(171,a,2600,a)]. 2604 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(9(a,1),2601(a,2,2,2,2))]. 2605 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(74(a,1),2602(a,1,1,2,2,2)),flip(a)]. 2606 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(172(a,1),2602(a,1,1,2,2)),flip(a)]. 2607 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2343(a,2),2604(a,1,2))]. 2608 x / L(y,y \ 1,x) = x * (1 / y). [para(74(a,1),2607(a,2,2,2))]. 2610 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(555,a,2608,a)]. 2611 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2608(a,2),621(a,1,1,2))]. 2612 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(74(a,1),2610(a,1,2)),flip(a)]. 2613 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(109(a,2),2612(a,1,2))]. 2614 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2613(a,1),2351(a,2,1,1))]. 2615 L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). [hyper(62,a,2366,a,b,2611,a)]. 2616 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(62,a,2363,a,b,2611,a)]. 2617 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(62,a,97,a,b,2616,a)]. 2618 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(77(a,1),2616(a,1,2))]. 2619 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(171,a,2606,a)]. 2620 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(62,a,2313,a,b,2619,a)]. 2621 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2619(a,1),2321(a,1,2))]. 2622 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(131,a,2620,a(flip))]. 2623 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(77(a,1),2620(a,2,2,2,1))]. 2624 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(62,a,1243,a,b,2622,a)]. 2625 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(11(a,1),2624(a,1,1)),flip(a)]. 2626 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(129,a,2625,a)]. 2627 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(34,a,2544,a,b,2626,a(flip))]. 2629 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(128,a,2627,a)]. 2630 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(34,a,2588,a,b,2627,a),flip(a)]. 2631 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [hyper(34,a,2541,a,b,2627,a),flip(a)]. 2632 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [hyper(34,a,2540,a,b,2627,a),flip(a)]. 2633 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [hyper(34,a,2062,a(flip),b,2627,a),flip(a)]. 2634 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(116,a,2627,a(flip),b,2561,a),flip(a)]. 2637 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2575(a,1),2627(a,1,1))]. 2638 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2576(a,1),2627(a,1,1))]. 2639 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [hyper(62,a,2267,a(flip),b,2629,a),flip(a)]. 2640 (x * K(y \ 1,y)) * K(y,y \ 1) != z | x = z. [para(2629(a,1),222(a,1,1))]. 2642 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [hyper(122,a,2630,a)]. 2643 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [hyper(279,a,2631,a),flip(a)]. 2644 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2631(a,1),43(a,1)),flip(a)]. 2645 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(34,a,484,a,b,2632,a),flip(a)]. 2646 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2632(a,1),2573(a,1,1)),flip(a)]. 2647 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(279,a,2638,a),flip(a)]. 2648 ((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(2638(a,1),472(a,1,1))]. 2649 L(K(x \ 1,x),x,y) = K(x \ 1,x). [hyper(1784,a,2642,a)]. 2652 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [hyper(62,a,2350,a(flip),b,2649,a)]. 2653 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(116,a,2596,a(flip),b,2647,a)]. 2655 K((x * y) \ x,y) = K(y \ 1,y). [para(9(a,1),2652(a,1,2))]. 2656 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(10(a,1),2655(a,1,1,1)),flip(a)]. 2657 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(108(a,1),2655(a,1,1,1)),flip(a)]. 2658 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [hyper(115,a,2656,a(flip),b,227,a(flip))]. 2659 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [para(2656(a,1),1774(a,1,2))]. 2660 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2656(a,1),2316(a,1,2))]. 2661 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(2155,a,2633,a)]. 2665 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(485,a,2645,a)]. 2666 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2645(a,1),191(a,1,2)),flip(a)]. 2667 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2072(a,2),2645(a,1,2))]. 2668 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(273,a,2581,a,b,2665,a),flip(a)]. 2669 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1798(a,2),2668(a,1,3))]. 2670 K(x / (y * x),y) = K(y \ 1,y). [hyper(34,a,2086,a,b,2661,a)]. 2671 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(12(a,1),2670(a,1,1,2)),flip(a)]. 2673 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(11(a,1),2671(a,2,1))]. 2674 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2629(a,1),2639(a,2,2))]. 2675 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(2078(a,1),2646(a,1,1))]. 2676 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(22(a,1),2657(a,2,2)),flip(a)]. 2677 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(1464(a,1),2657(a,2,1,1))]. 2678 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(273,a,2586,a(flip),b,2666,a),flip(a)]. 2679 R(x,y,K(x \ 1,x)) = x. [hyper(478,a,2674,a)]. 2680 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1805(a,1),2679(a,1,3))]. 2681 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(2680(a,1),31(a,1,1)),flip(a)]. 2682 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1583(a,1),2592(a,2,1))]. 2683 K(x,y) = L(x \ T(x,y),(x \ 1) \ 1,y). [para(74(a,1),2615(a,2,1)),flip(a)]. 2685 K(x,y) = L(T(x,y) * (x \ 1),(x \ 1) \ 1,y). [para(880(a,2),2683(a,2,1))]. 2686 L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). [para(2683(a,2),1027(a,2,2))]. 2687 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(273,a,958,a(flip),b,2557,a),flip(a)]. 2688 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(273,a,2670,a(flip),b,2567,a),flip(a)]. 2690 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2688(a,1),1777(a,1,1))]. 2691 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(273,a,2558,a(flip),b,2673,a),flip(a)]. 2693 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(62,a,2671,a(flip),b,2691,a)]. 2694 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2691(a,1),2071(a,1,1))]. 2695 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(554,a,2694,a)]. 2696 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(287,a,2694,a),flip(a)]. 2697 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(273,a,270,a(flip),b,2694,a),flip(a)]. 2698 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(62,a,1943,a(flip),b,2694,a)]. 2699 L(x,y,K(y,y \ 1)) = x. [hyper(1779,a,2694,a(flip))]. 2702 L(x,1 / y,K(y \ 1,y)) = x. [para(1856(a,1),2699(a,1,3))]. 2703 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(62,a,1963,a(flip),b,2702,a)]. 2704 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(62,a,1771,a(flip),b,2702,a)]. 2705 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1805(a,1),2702(a,1,3))]. 2706 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2702(a,1),1770(a,1,2)),flip(a)]. 2707 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2702(a,1),1917(a,1,1,2))]. 2709 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2705(a,1),1846(a,1,2)),flip(a)]. 2710 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(273,a,166,a(flip),b,2707,a),flip(a)]. 2711 (1 / x) * (x * y) = L(y,x,x \ 1). [para(9(a,1),2707(a,1,1)),flip(a)]. 2712 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(22(a,2),2707(a,1,1))]. 2713 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(405(a,1),2707(a,1,1))]. 2714 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2707(a,1),578(a,1,2))]. 2715 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(947(a,1),2707(a,1,1))]. 2716 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(1132(a,1),2707(a,1,1))]. 2717 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2707(a,1),2029(a,2,1,2))]. 2718 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(558,a,2711,a)]. 2719 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(122,a,2711,a)]. 2720 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2711(a,1),262(a,1,1))]. 2721 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(74(a,1),2718(a,1,3)),flip(a)]. 2722 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(77(a,1),2719(a,1,2,3))]. 2723 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(963,a,2695,a),flip(a)]. 2725 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [para(2695(a,1),315(a,1,2))]. 2726 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(62,a,1943,a(flip),b,2697,a)]. 2727 ((x \ 1) \ 1) * (x \ y) != z | K(x,x \ 1) * y = z. [para(2697(a,1),287(a,1))]. 2728 K(x,x \ 1) * (x * y) != z | T(x,x \ 1) * y = z. [para(2697(a,2),632(a,1))]. 2729 T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. [para(2698(a,1),42(a,1))]. 2730 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | x = z. [para(2698(a,1),280(a,1,1))]. 2732 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(9(a,1),2703(a,1,2)),flip(a)]. 2733 T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). [para(2703(a,1),1908(a,1,1,2))]. 2734 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2703(a,1),1961(a,1,2))]. 2736 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2704(a,1),1594(a,1,2,2,1,2))]. 2737 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(128,a,2706,a)]. 2738 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2706(a,1),20(a,2,2)),flip(a)]. 2739 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2706(a,1),507(a,1,1))]. 2740 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2706(a,1),444(a,1,1))]. 2741 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2706(a,1),2286(a,1,2)),flip(a)]. 2742 T((x \ 1) * y,K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). [para(2706(a,1),2374(a,1,1))]. 2743 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(74(a,1),2741(a,1,2,1)),flip(a)]. 2744 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1947,a,2709,a),flip(a)]. 2745 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(260(a,1),2709(a,1,2))]. 2746 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(109(a,1),2723(a,1,2,1))]. 2747 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(131,a,2732,a)]. 2748 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1100(a,1),2734(a,1,2)),flip(a)]. 2749 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(2737(a,1),222(a,1,1))]. 2750 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1526(a,1),2737(a,1,2))]. 2751 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(115,a,10,a(flip),b,2744,a),flip(a)]. 2752 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(115,a,77,a(flip),b,2746,a)]. 2754 x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. [hyper(131,a,2733,a(flip))]. 2755 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(62,a,1911,a,b,2754,a)]. 2756 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(33,a,1923,a(flip),b,2755,a),flip(a)]. 2758 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(115,a,2755,a(flip),b,2725,a)]. 2760 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(273,a,2416,a(flip),b,2756,a),flip(a)]. 2761 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(131,a,2756,a)]. 2762 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(37,a,2704,a(flip),b,2756,a),flip(a)]. 2763 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(37,a,2704,a,b,2756,a(flip))]. 2764 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(287,a,2762,a),flip(a)]. 2765 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(122,a,2762,a)]. 2766 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(33,a,2751,a,b,2762,a),flip(a)]. 2767 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(33,a,2746,a,b,2762,a),flip(a)]. 2768 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(33,a,2709,a,b,2762,a),flip(a)]. 2769 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(33,a,2697,a,b,2762,a),flip(a)]. 2770 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [hyper(33,a,1942,a,b,2762,a),flip(a)]. 2771 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(115,a,2762,a(flip),b,2725,a),flip(a)]. 2772 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2762(a,1),42(a,1)),flip(a)]. 2773 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [para(2706(a,1),2762(a,1,2))]. 2774 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2762(a,1),2726(a,1,2)),flip(a)]. 2776 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2763(a,1),42(a,1)),flip(a)]. 2777 T(x,K(x,x \ 1) * y) = T(x,y). [para(2763(a,1),2286(a,1,2)),flip(a)]. 2778 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2763(a,1),2747(a,1,2)),flip(a)]. 2779 T(x,T(x,x \ 1) \ y) = T(x,x \ y). [para(2723(a,1),2777(a,1,2)),flip(a)]. 2780 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(273,a,2697,a(flip),b,2764,a),flip(a)]. 2781 K(x,x \ 1) * (K(x \ 1,x) * y) != z | y = z. [para(2764(a,1),288(a,1))]. 2783 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2764(a,1),2394(a,1,2,1))]. 2784 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2764(a,1),2395(a,1,2,1))]. 2785 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(273,a,2706,a(flip),b,2765,a),flip(a)]. 2786 T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). [para(306(a,1),2779(a,1,2,1)),flip(a)]. 2788 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(115,a,2767,a(flip),b,1056,a(flip)),flip(a)]. 2789 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [para(9(a,1),2767(a,1,2)),flip(a)]. 2790 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(287,a,2768,a),flip(a)]. 2791 K(x \ 1,x) * y != x * z | ((x \ 1) \ 1) * z = y. [para(2769(a,1),42(a,1)),flip(a)]. 2792 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1859(a,1),2771(a,1,2,1))]. 2793 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1948,a,2773,a)]. 2794 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2773(a,1),288(a,1,2))]. 2795 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2773(a,1),169(a,1,1,2))]. 2796 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2773(a,1),453(a,1,2,2))]. 2797 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(902,a,2793,a)]. 2798 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(74(a,1),2797(a,1,2)),flip(a)]. 2799 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(268(a,2),2797(a,1,2)),flip(a)]. 2803 K(x,x \ 1) * ((x \ 1) * y) != z | (1 / x) * y = z. [para(2785(a,1),225(a,1,2))]. 2804 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(77(a,1),2788(a,2,2,1,1))]. 2805 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(544,a,2798,a),flip(a)]. 2806 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2798(a,1),2510(a,1,2))]. 2808 K(x,x \ 1) * ((1 / x) \ y) != z | (x \ 1) \ y = z. [para(2703(a,1),2781(a,1,2))]. 2809 K(x,x \ 1) * (x * y) != z | ((x \ 1) \ 1) * y = z. [para(2769(a,1),2781(a,1,2))]. 2810 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2770(a,1),2414(a,1,2)),flip(a)]. 2812 K(x,x \ 1) * (((x \ y) / y) * x) != z | (x \ 1) \ ((x \ y) / y) = z. [para(1053(a,1),2808(a,1,2))]. 2813 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2676(a,1),2660(a,1,2)),flip(a)]. 2814 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(62,a,1321,a,b,2687,a)]. 2815 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(62,a,2661,a(flip),b,2690,a)]. 2816 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(193(a,2),2815(a,2,1,1)),flip(a)]. 2817 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(104(a,1),2815(a,2,1,1,2))]. 2818 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2713(a,2),2026(a,1,1))]. 2819 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2688(a,1),2752(a,1,1))]. 2820 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2815(a,2),2819(a,2,1)),flip(a)]. 2821 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(273,a,2780,a(flip),b,2820,a),flip(a)]. 2822 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(556,a,2821,a)]. 2823 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(273,a,270,a,b,2821,a),flip(a)]. 2824 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(176,a,2821,a),flip(a)]. 2825 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(77(a,1),2821(a,1,1,1))]. 2826 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [hyper(176,a,2823,a)]. 2827 (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. [para(2815(a,1),2823(a,1,1))]. 2828 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(2824(a,2),110(a,1,1))]. 2829 R(x,1 / x,y) \ y = (x \ 1) * y. [para(77(a,1),2825(a,2,1,1))]. 2830 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(556,a,2829,a),flip(a)]. 2831 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2830(a,1),1785(a,1,1))]. 2832 T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. [para(12(a,1),2827(a,1,1,1,1,2)),flip(a)]. 2833 (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. [hyper(62,a,270,a(flip),b,2832,a),flip(a)]. 2834 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(1491(a,1),2618(a,1,1))]. 2835 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(62,a,774,a(flip),b,2834,a),flip(a)]. 2836 K(1 / (1 / x),y) * x = x * K(x,y). [hyper(129,a,2835,a(flip))]. 2837 T(K(1 / (1 / x),y),x) = K(x,y). [para(2835(a,2),198(a,1,1))]. 2838 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(236(a,1),2837(a,1,1,1,2))]. 2839 (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). [para(2837(a,1),891(a,2,2))]. 2840 (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). [hyper(62,a,1680,a,b,2836,a)]. 2841 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(74(a,1),2838(a,1,1,1))]. 2844 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(62,a,1785,a(flip),b,2831,a),flip(a)]. 2845 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(62,a,363,a(flip),b,2844,a),flip(a)]. 2846 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2845(a,2),89(a,1,2,2))]. 2847 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [hyper(273,a,2076,a(flip),b,2568,a),flip(a)]. 2848 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(193(a,2),2847(a,2,2,2))]. 2849 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2614(a,1),1828(a,1,2))]. 2850 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2849(a,1),1570(a,2,1,2))]. 2851 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(74(a,1),2669(a,2,2))]. 2853 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(109(a,2),2851(a,1,2))]. 2854 T((x \ 1) * y,K(x \ 1,x)) = (1 / x) * (y * K(x \ 1,x)). [hyper(273,a,2272,a(flip),b,2742,a),flip(a)]. 2855 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(2727,a,2814,a)]. 2856 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2855(a,1),2760(a,1,2))]. 2857 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(2840(a,1),2839(a,1,1,2))]. 2858 (1 / x) \ K(x,y) = K(x,y) * x. [para(9(a,1),2857(a,1,1)),flip(a)]. 2860 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2858(a,1),2766(a,1,2))]. 2861 R(x,K(x,x \ 1),y) = x. [hyper(2730,a,2553,a),flip(a)]. 2863 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1856(a,1),2861(a,1,2))]. 2864 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2863(a,1),2355(a,1,1)),flip(a)]. 2865 K(x,y) / (x \ 1) = x * K(x,y). [para(2685(a,2),2686(a,1,1))]. 2866 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(129,a,2865,a)]. 2867 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2715(a,1),2717(a,1,2))]. 2868 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(8(a,1),2867(a,2,1,2))]. 2869 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1804(a,2),2868(a,2,1))]. 2870 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(62,a,27,a,b,2828,a)]. 2871 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(273,a,621,a(flip),b,2850,a),flip(a)]. 2873 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(109(a,1),2871(a,2,1))]. 2874 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(192(a,1),2873(a,1,2,1))]. 2876 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2874(a,1),2433(a,1))]. 2877 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2743(a,1),2870(a,1,1))]. 2878 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(62,a,1411,a(flip),b,2877,a)]. 2879 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(77(a,1),2878(a,2,1,1,1))]. 2880 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(109(a,2),2878(a,2,1,1)),flip(a)]. 2881 x * ((y \ 1) * (y * T(y \ 1,x))) = T((y \ 1) * x,K(y \ 1,y)). [hyper(273,a,2854,a,b,2574,a),flip(a)]. 2883 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2582(a,1),2590(a,1,2,2))]. 2885 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2279(a,1),2739(a,1,2))]. 2886 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(2885(a,1),1564(a,2,2,1,2)),flip(a)]. 2888 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(273,a,2048,a(flip),b,2675,a),flip(a)]. 2890 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(116,a,74,a(flip),b,2888,a),flip(a)]. 2891 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(74(a,1),2890(a,1,2)),flip(a)]. 2893 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2891(a,1),1202(a,1,2,1,2))]. 2894 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2817(a,1),487(a,1,1))]. 2895 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2693(a,1),2848(a,1,1,1))]. 2896 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [hyper(1848,a,2895,a)]. 2898 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2896(a,2),2400(a,1,1))]. 2899 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [hyper(62,a,27,a,b,2898,a),flip(a)]. 2900 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [hyper(273,a,2597,a(flip),b,2899,a),flip(a)]. 2901 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(7(a,1),2900(a,2,2,1))]. 2902 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [para(12(a,1),2783(a,1,2,1,2))]. 2904 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2716(a,1),2806(a,1,2))]. 2905 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(74(a,1),2904(a,2,1,2,2))]. 2907 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1804(a,2),2905(a,2,1))]. 2909 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2810(a,2),882(a,1))]. 2910 x \ T((y \ 1) * (x / (y \ 1)),K(y \ 1,y)) = K(1 / y,x / (y \ 1)). [para(2881(a,1),2617(a,1,2))]. 2911 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(976(a,1),2677(a,2,1))]. 2912 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(273,a,2348,a(flip),b,2911,a),flip(a)]. 2913 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(1491(a,1),2750(a,1,2,1))]. 2914 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(2736(a,1),2913(a,1,1))]. 2915 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(129,a,2914,a)]. 2916 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2915(a,1),2413(a,1,2))]. 2917 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(328,a,2916,a)]. 2918 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2909,a,2917,a),flip(a)]. 2921 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),x \ 1). [hyper(62,a,2438,a,b,2918,a)]. 2922 T(x,y) \ K(T(x,y),x \ 1) = T(1 / (1 / x),y) \ 1. [para(2918(a,1),2437(a,1,2))]. 2923 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),x \ 1). [hyper(62,a,2419,a,b,2921,a)]. 2924 T(x * L(x \ 1,T(x,y),1 / x),y) = K(T(x,y),x \ 1). [hyper(62,a,2033,a,b,2923,a)]. 2926 T(a(T(x,y),1 / x,x),y) = K(T(x,y),x \ 1). [para(2406(a,1),2924(a,1,1))]. 2927 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ T(K(T(x,y),x \ 1),T(x,y)). [para(2926(a,1),2478(a,1,2,1)),flip(a)]. 2928 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ K(T(x,y),x \ 1). [para(2143(a,1),2927(a,2,2))]. 2929 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(1 / (1 / x),y) \ 1. [hyper(273,a,2922,a(flip),b,2928,a),flip(a)]. 2931 T(1 / (1 / x),y) \ 1 = T(1,T(x,y)) / T(x,y). [para(10(a,1),2929(a,1,1,1)),flip(a)]. 2933 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(179(a,1),2931(a,2,1))]. 2934 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(176,a,2933,a)]. 2936 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(172(a,1),2933(a,1,1,1)),flip(a)]. 2937 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(1786,a,2934,a)]. 2938 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(110(a,1),2934(a,1,2,2)),flip(a)]. 2939 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2934(a,1),1448(a,1,1,1,2))]. 2940 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2934(a,1),2703(a,2,1))]. 2941 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(171,a,2936,a),flip(a)]. 2942 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(617,a,2941,a)]. 2943 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(77(a,1),2941(a,1,1,1)),flip(a)]. 2944 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(110(a,1),2941(a,2,1,1))]. 2945 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2941(a,2),2543(a,1,2))]. 2946 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2941(a,2),2758(a,1,1))]. 2947 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2942(a,2),2625(a,1,2))]. 2948 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [hyper(245,a,2938,a)]. 2949 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(62,a,2901,a(flip),b,2938,a)]. 2950 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2938(a,1),108(a,1,2)),flip(a)]. 2951 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(245,a,2944,a)]. 2952 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(62,a,426,a(flip),b,2944,a)]. 2953 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2944(a,1),108(a,1,2)),flip(a)]. 2954 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(9(a,1),2948(a,1,1,2,2,2))]. 2956 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2599(a,1),2948(a,1,1))]. 2957 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(9(a,1),2951(a,1,1,2,1,1))]. 2959 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(9(a,1),2952(a,2,1,1))]. 2960 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [hyper(273,a,109,a,b,2959,a),flip(a)]. 2961 T(x,y / (y * x)) = T(x,x \ 1). [hyper(62,a,2082,a(flip),b,2960,a)]. 2963 T(1 / (1 / x),y / (y * x)) = x. [hyper(1759,a,2961,a(flip))]. 2964 T(1 / (1 / x),(y / x) / y) = x. [para(12(a,1),2963(a,1,2,2))]. 2965 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2964(a,1),200(a,1,2,2))]. 2966 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [hyper(62,a,2833,a,b,2953,a)]. 2968 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(105(a,2),2953(a,1,1,1,1))]. 2969 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(74(a,1),2956(a,1,1,2,2)),flip(a)]. 2970 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1710(a,2),2965(a,1,2))]. 2971 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [hyper(176,a,2966,a)]. 2972 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [hyper(171,a,2969,a),flip(a)]. 2973 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(9(a,1),2971(a,1,2,2,1,1))]. 2974 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [hyper(131,a,2949,a)]. 2975 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(2949(a,1),1906(a,1,1))]. 2976 (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). [para(2975(a,1),108(a,1,2)),flip(a)]. 2977 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(2975(a,1),2933(a,1,1)),flip(a)]. 2978 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [hyper(171,a,2977,a),flip(a)]. 2979 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(62,a,2879,a(flip),b,2978,a),flip(a)]. 2980 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2711(a,1),2979(a,1,1,1,1))]. 2981 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(199(a,1),2939(a,1,1))]. 2983 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2981(a,1),2766(a,1,2))]. 2984 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(34,a,1914,a,b,2983,a)]. 2985 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(62,a,1568,a,b,2984,a)]. 2986 T(x,K(y \ 1,y)) = x. [hyper(53,a,2984,a)]. 2987 T(x,y) != K(z \ 1,z) | K(z \ 1,z) = x. [para(2984(a,1),48(a,1)),flip(a)]. 2988 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2984(a,1),108(a,1,2)),flip(a)]. 2989 T((x \ 1) * x,y) = K(x \ 1,x). [para(227(a,1),2984(a,1,1))]. 2990 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2984(a,1),252(a,1,2))]. 2993 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(62,a,2854,a(flip),b,2986,a)]. 2994 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(62,a,2742,a(flip),b,2986,a)]. 2995 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(212,a,2986,a(flip),b,2881,a),flip(a)]. 2996 T(x,K(y,1 / y)) = x. [para(77(a,1),2986(a,1,2,1))]. 2999 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2986(a,1),252(a,1,2))]. 3001 T(x,K(y,y \ 1)) = x. [para(1805(a,1),2986(a,1,2))]. 3002 T(x,K(y \ z,z \ y)) = x. [para(2656(a,1),2986(a,1,2))]. 3003 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2188,a,2996,a),flip(a)]. 3007 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2188,a,3001,a),flip(a)]. 3008 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(53,a,3001,a)]. 3009 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(3001(a,1),252(a,1,2))]. 3010 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2188,a,3002,a),flip(a)]. 3011 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(115,a,3008,a(flip),b,2869,a)]. 3012 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(115,a,3008,a(flip),b,2118,a)]. 3014 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(3008(a,1),2119(a,1,2)),flip(a)]. 3015 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2305(a,2),3008(a,1,1))]. 3018 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2985(a,1),1227(a,1,1))]. 3019 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2776,a,2988,a)]. 3020 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(273,a,2631,a(flip),b,2988,a),flip(a)]. 3021 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(273,a,2624,a(flip),b,2988,a),flip(a)]. 3023 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(273,a,2575,a(flip),b,2988,a),flip(a)]. 3024 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(273,a,1243,a(flip),b,2988,a),flip(a)]. 3025 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(115,a,484,a(flip),b,2988,a)]. 3027 (1 / (1 / x)) * (x \ y) = y * K(x \ 1,x). [hyper(62,a,2790,a,b,2988,a)]. 3028 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(62,a,2789,a,b,2988,a)]. 3029 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(62,a,2734,a,b,2988,a)]. 3030 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(62,a,2768,a(flip),b,2988,a),flip(a)]. 3031 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(62,a,2767,a(flip),b,2988,a),flip(a)]. 3032 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(62,a,2763,a(flip),b,2988,a),flip(a)]. 3033 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(62,a,2703,a(flip),b,2988,a),flip(a)]. 3034 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(57,a,2988,a)]. 3035 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2988(a,2),466(a,1,2))]. 3036 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2988(a,2),585(a,1,1))]. 3037 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2988(a,1),697(a,1,2))]. 3038 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2988(a,2),310(a,1,1))]. 3039 ((x * (y * z)) * K(u \ 1,u)) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(2988(a,1),461(a,1,1))]. 3040 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2988(a,1),2281(a,1,1))]. 3041 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [para(2988(a,2),2627(a,1,1))]. 3042 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2988(a,1),2774(a,1,2))]. 3043 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2988(a,1),2776(a,1))]. 3044 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2988(a,1),2791(a,1))]. 3046 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2984(a,2),2988(a,2,2)),flip(a)]. 3047 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(2809,a,3007,a),flip(a)]. 3048 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2808,a,3007,a),flip(a)]. 3049 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2803,a,3007,a),flip(a)]. 3050 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2772,a,3007,a)]. 3051 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2728,a,3007,a),flip(a)]. 3052 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(273,a,2638,a(flip),b,3007,a),flip(a)]. 3053 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [hyper(273,a,2637,a(flip),b,3007,a),flip(a)]. 3054 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(273,a,2588,a(flip),b,3007,a),flip(a)]. 3055 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(273,a,2541,a(flip),b,3007,a),flip(a)]. 3056 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(273,a,2540,a(flip),b,3007,a),flip(a)]. 3057 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(3007(a,2),20(a,2,2)),flip(a)]. 3058 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(3007(a,2),466(a,1,2))]. 3059 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(3007(a,2),2544(a,1,1))]. 3060 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(3007(a,2),2562(a,1,1))]. 3062 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(3007(a,1),2902(a,1,2,1))]. 3063 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(273,a,2547,a(flip),b,3014,a),flip(a)]. 3064 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(273,a,2545,a(flip),b,3014,a),flip(a)]. 3066 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(3064(a,1),948(a,1,2))]. 3067 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(3015(a,1),2373(a,1,1))]. 3068 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [hyper(115,a,3019,a(flip),b,2696,a),flip(a)]. 3069 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(3019(a,1),96(a,2,2))]. 3070 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3032(a,1),105(a,2,1))]. 3071 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(3032(a,1),2573(a,1,1)),flip(a)]. 3072 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(3050(a,1),42(a,1)),flip(a)]. 3073 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(3050(a,1),96(a,2,1))]. 3075 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(1856(a,2),2993(a,1,2,2))]. 3076 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2575(a,1),2993(a,1,2))]. 3078 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2994(a,1),2626(a,1,1))]. 3079 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(122,a,2995,a)]. 3081 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(3021(a,1),2774(a,1,2))]. 3082 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(273,a,2630,a(flip),b,3027,a),flip(a)]. 3083 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3028(a,1),2805(a,1,1))]. 3084 T(x / (1 / y),y \ 1) = (1 / y) \ x. [hyper(2593,a,3029,a)]. 3086 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2656(a,1),3030(a,1,2))]. 3087 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3031(a,1),2626(a,1,1))]. 3088 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(3033(a,1),2573(a,1,1))]. 3089 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [para(2316(a,1),3042(a,1,2))]. 3090 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2934(a,1),3053(a,1,2,2))]. 3091 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(273,a,2073,a(flip),b,3055,a),flip(a)]. 3092 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(3055(a,1),2784(a,1,2,1))]. 3093 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2751(a,1),3059(a,1,1))]. 3094 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(607,a,3066,a)]. 3096 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(2745(a,1),3071(a,1,1))]. 3099 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(212,a,3079,a(flip),b,880,a)]. 3100 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3079(a,1),676(a,2,1)),flip(a)]. 3101 L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. [para(3079(a,1),678(a,1,1))]. 3102 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(273,a,109,a,b,3099,a),flip(a)]. 3105 (1 / x) \ y != z | ((x \ 1) \ y) * K(x \ 1,x) = z. [para(2703(a,1),2999(a,1))]. 3107 K(1 / x,y) = K(x \ 1,y). [hyper(62,a,2616,a(flip),b,3100,a)]. 3108 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(62,a,1665,a(flip),b,3107,a),flip(a)]. 3109 K((x \ 1) \ 1,y) = K(x,y). [para(74(a,1),3107(a,1,1)),flip(a)]. 3110 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2876,a,3109,a)]. 3111 K(T(x,x \ 1),y) = K(x,y). [para(109(a,2),3109(a,1,1))]. 3112 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2979(a,1),3109(a,1,1)),flip(a)]. 3114 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(273,a,2335,a(flip),b,3010,a),flip(a)]. 3115 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1277(a,1),3024(a,2,2))]. 3119 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. [para(3034(a,2),636(a,1,2))]. 3120 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(273,a,2986,a,b,3076,a)]. 3121 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(2206,a,3078,a),flip(a)]. 3122 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(74(a,1),3081(a,2,2))]. 3123 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(12(a,1),3082(a,1,2,2))]. 3124 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(22(a,2),3082(a,1,2))]. 3125 T(x,1 / (1 / y)) = T(x,y). [hyper(373,a,3124,a),flip(a)]. 3126 T(x,1 / y) = T(x,y \ 1). [para(74(a,1),3125(a,1,2,2))]. 3127 T(x,(y \ 1) \ 1) = T(x,y). [para(172(a,1),3125(a,1,2)),flip(a)]. 3129 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(62,a,714,a(flip),b,3126,a),flip(a)]. 3130 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3126(a,1),108(a,1,2))]. 3132 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(3126(a,1),1656(a,2,1))]. 3133 T(x,T(y,y \ 1)) = T(x,y). [para(109(a,2),3127(a,1,2))]. 3134 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1798(a,2),3127(a,1,2))]. 3137 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2816(a,1),3127(a,1,2)),flip(a)]. 3138 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2941(a,2),3127(a,1,2))]. 3139 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2943(a,1),3127(a,1,2)),flip(a)]. 3140 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(62,a,2841,a(flip),b,3133,a)]. 3141 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3133(a,1),108(a,1,2))]. 3142 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3133(a,1),608(a,1,2))]. 3143 T(K(x,y),x) = K(x,y). [hyper(62,a,3111,a(flip),b,3140,a),flip(a)]. 3144 T(x,K(x,y)) = x. [hyper(53,a,3143,a)]. 3145 K(x,y) * x = x * K(x,y). [para(3143(a,1),108(a,1,2)),flip(a)]. 3146 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(3143(a,1),210(a,1,2,1)),flip(a)]. 3147 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3143(a,1),211(a,1,2,1)),flip(a)]. 3149 K(x,K(x,y)) = 1. [hyper(54,a,3144,a)]. 3150 T(T(x,y),K(x,z)) = T(x,y). [para(3144(a,1),23(a,1,1)),flip(a)]. 3151 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3144(a,1),209(a,1,2,1)),flip(a)]. 3152 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3144(a,1),210(a,1,2,1)),flip(a)]. 3153 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3144(a,1),211(a,1,2,1)),flip(a)]. 3154 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3144(a,1),380(a,1,2,1))]. 3157 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(3107(a,1),3145(a,2,2))]. 3158 K(T(x,y),K(x,z)) = 1. [hyper(54,a,3150,a)]. 3159 T(K(x,y),T(x,z)) = K(x,y). [hyper(53,a,3150,a)]. 3161 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3159(a,1),252(a,1,2))]. 3162 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(64(a,2),3130(a,2,2))]. 3163 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(273,a,3102,a(flip),b,3139,a),flip(a)]. 3164 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3163(a,1),2181(a,1,1))]. 3165 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(3163(a,1),2389(a,1,1,1))]. 3166 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(2822(a,2),3137(a,2,2)),flip(a)]. 3167 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3141(a,1),2480(a,2,1))]. 3168 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3142(a,2),517(a,2,1))]. 3169 T(x,L(K(x,y),z,u)) = x. [hyper(213,a,3146,a)]. 3170 R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(3146(a,1),1814(a,2,1))]. 3171 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(735,a,3147,a),flip(a)]. 3172 T(x,R(K(x,y),z,u)) = x. [hyper(213,a,3147,a)]. 3173 K(x,R(K(x,y),z,u)) = 1. [hyper(54,a,3172,a)]. 3174 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3172(a,1),210(a,1,2,1))]. 3176 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(213,a,3153,a)]. 3177 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2761(a,1),3129(a,1,1,1))]. 3178 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(34,a,2974,a(flip),b,3114,a),flip(a)]. 3180 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(22(a,2),3178(a,1,1))]. 3181 ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). [para(3178(a,1),2659(a,1,2))]. 3182 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(62,a,2309,a,b,3180,a)]. 3184 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(115,a,3182,a(flip),b,1804,a(flip))]. 3185 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(62,a,3012,a(flip),b,3184,a)]. 3186 (1 / x) * (T(x,y) \ x) = 1 / T(x,y). [hyper(62,a,3011,a(flip),b,3184,a)]. 3187 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(62,a,1811,a(flip),b,3184,a)]. 3188 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(115,a,3184,a(flip),b,3011,a(flip))]. 3189 (T(x,y) \ x) \ x = T(x,y). [hyper(2446,a,3185,a)]. 3190 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(129,a,3185,a)]. 3191 x / T(x,y) = T(x,y) \ x. [hyper(176,a,3189,a)]. 3192 (T(x,y) \ x) * T(x,y) = x. [hyper(131,a,3189,a)]. 3193 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(62,a,1698,a,b,3191,a)]. 3195 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(3191(a,1),1983(a,1,1))]. 3196 L(x,T(x,y) \ x,x) = x. [hyper(62,a,2171,a,b,3192,a)]. 3198 (x * y) * T(K(y,x),x) = y * x. [para(3196(a,1),2170(a,1,2)),flip(a)]. 3199 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(212,a,3190,a,b,940,a)]. 3201 T(K(x,y),y) = K(x,y). [hyper(264,a,3198,a),flip(a)]. 3202 (x * K(y,x)) / x = K(y,x). [hyper(245,a,3201,a)]. 3203 T(x,K(y,x)) = x. [hyper(53,a,3201,a)]. 3204 K(x,y) * y = y * K(x,y). [para(3201(a,1),108(a,1,2)),flip(a)]. 3205 x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). [para(3201(a,1),663(a,1,2,1))]. 3206 T(x,K(y,R(x,z,u))) = x. [hyper(140,a,3203,a)]. 3207 T(x,K(y,T(x,z))) = x. [hyper(134,a,3203,a)]. 3208 T(T(x,y),K(z,x)) = T(x,y). [para(3203(a,1),23(a,1,1)),flip(a)]. 3210 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3203(a,1),209(a,1,2,1)),flip(a)]. 3211 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3203(a,1),210(a,1,2,1)),flip(a)]. 3212 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3203(a,1),211(a,1,2,1)),flip(a)]. 3213 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3203(a,1),379(a,1,2,1))]. 3215 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3203(a,1),414(a,1,2,1,1)),flip(a)]. 3216 T(x,y \ T(y,x)) = x. [para(1226(a,1),3203(a,1,2))]. 3217 T(x,x \ ((y * x) / y)) = x. [para(1474(a,1),3203(a,1,2))]. 3218 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3203(a,1),2291(a,1,1,1)),flip(a)]. 3219 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(3203(a,1),2422(a,1,2,1)),flip(a)]. 3220 T(x / y,K(z,y \ x)) = x / y. [para(110(a,1),3207(a,1,2,2))]. 3221 T(x \ T(x,y),y) = x \ T(x,y). [hyper(53,a,3216,a)]. 3222 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3216(a,1),108(a,1,2))]. 3223 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(3206(a,1),23(a,1,1)),flip(a)]. 3224 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(62,a,1109,a,b,3202,a)]. 3225 T(K(x,y),y) != z | K(x,y) = z. [para(3202(a,1),292(a,1,1))]. 3226 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3202(a,1),492(a,1,1)),flip(a)]. 3227 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3202(a,1),567(a,1,1,1))]. 3228 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(3202(a,1),821(a,1,1,1)),flip(a)]. 3229 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3204(a,1),104(a,1,2))]. 3230 (K(x,y) * (y * z)) * a(K(x,y),y,z) = (y * K(x,y)) * z. [para(3204(a,1),83(a,2,1))]. 3231 T(K(x,y),T(y,z)) = K(x,y). [hyper(53,a,3208,a)]. 3232 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3208(a,1),379(a,1,2,1))]. 3233 ((x * y) / x) / y = y \ ((x * y) / x). [para(3217(a,1),236(a,1,2))]. 3234 K(K(x,y),T(y,z)) = 1. [hyper(54,a,3231,a)]. 3236 K(x \ T(x,y),T(y,z)) = 1. [para(1226(a,1),3234(a,1,1))]. 3237 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(55,a,3236,a)]. 3238 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(62,a,3018,a,b,3199,a)]. 3240 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3187(a,1),2856(a,1,2))]. 3241 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(3195(a,1),96(a,2,1)),flip(a)]. 3242 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3222(a,1),959(a,1,2,2))]. 3243 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(62,a,1192,a,b,3233,a)]. 3244 x * (((y * x) / y) / x) = (y * x) / y. [hyper(131,a,3233,a(flip))]. 3245 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(776(a,1),3233(a,1,1)),flip(a)]. 3246 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(36,a,308,a,b,3238,a)]. 3248 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1193(a,1),3244(a,1,2))]. 3249 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(62,a,2912,a(flip),b,3246,a),flip(a)]. 3250 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3246(a,1),701(a,1,2))]. 3251 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3246(a,1),2813(a,2,2))]. 3252 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3246(a,1),2937(a,1,2))]. 3253 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(213,a,3211,a)]. 3254 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3212(a,1),42(a,1)),flip(a)]. 3255 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3212(a,2),446(a,1,1,2))]. 3256 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(62,a,3188,a(flip),b,3240,a),flip(a)]. 3257 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(62,a,2416,a,b,3256,a)]. 3258 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(27(a,2),3256(a,1,1,2))]. 3259 x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. [para(3256(a,1),69(a,1,2,2))]. 3260 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(110(a,1),3256(a,1,1,2)),flip(a)]. 3261 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1337(a,1),3256(a,1,1,2)),flip(a)]. 3262 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3079(a,1),3256(a,1,1))]. 3263 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(131,a,3257,a)]. 3264 (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). [hyper(251,a,3259,a)]. 3265 T(1 / x,(y * x) / y) = x \ 1. [hyper(212,a,3243,a,b,1169,a)]. 3268 K(x / y,y / x) = K(y \ x,x \ y). [hyper(62,a,2671,a(flip),b,3249,a)]. 3269 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(62,a,2560,a,b,3268,a)]. 3270 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3250(a,2),940(a,1,2))]. 3271 x * (T(x,y) / x) = T(x,y). [hyper(34,a,1928,a,b,3252,a)]. 3273 T(x,y) / x = x \ T(x,y). [hyper(122,a,3271,a),flip(a)]. 3274 (x \ T(x,y)) * x = T(x,y). [para(3271(a,1),79(a,1,1,2))]. 3275 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1500,a,3273,a)]. 3276 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1293,a,3273,a),flip(a)]. 3277 (1 / x) * T(x,y) = x \ T(x,y). [hyper(62,a,1439,a,b,3273,a)]. 3278 T(x,x \ T(x,y)) = x. [hyper(35,a,236,a,b,3273,a)]. 3279 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3273(a,1),105(a,1,1))]. 3280 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3273(a,1),492(a,1,1))]. 3282 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(3273(a,1),1211(a,2,2,1))]. 3283 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3273(a,1),2249(a,1,1,2))]. 3284 K(x,x \ T(x,y)) = 1. [hyper(54,a,3278,a)]. 3285 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3278(a,1),209(a,1,2,1)),flip(a)]. 3286 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1226(a,2),3278(a,1,2))]. 3287 K(x,T(x,y) / x) = 1. [para(3273(a,2),3284(a,1,2))]. 3288 T(1 / x,T(x,y)) = x \ 1. [hyper(115,a,3287,a(flip),b,1487,a),flip(a)]. 3289 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(62,a,1317,a,b,3274,a)]. 3290 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3274(a,1),18(a,2,1)),flip(a)]. 3291 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3274(a,1),94(a,1,1))]. 3292 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3274(a,1),482(a,1,1,1))]. 3293 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(62,a,1502,a(flip),b,3288,a)]. 3294 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3288(a,1),218(a,1,1)),flip(a)]. 3295 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3288(a,1),365(a,2,1))]. 3296 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1244,a,3286,a)]. 3297 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3294(a,1),1563(a,1,1,2)),flip(a)]. 3298 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(131,a,3296,a)]. 3299 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1063(a,1),3296(a,1,1,1,1))]. 3300 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2714(a,1),3298(a,1,1,1,1))]. 3301 T(x,x / (y * x)) = T(x,x / (x * y)). [para(193(a,1),3289(a,1,2))]. 3303 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(199(a,1),3293(a,1,3,2))]. 3304 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3269(a,1),1777(a,1,1))]. 3305 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1063(a,1),3276(a,2,2,1))]. 3306 T(x,y \ ((x * y) / x)) = x. [para(3276(a,1),3278(a,1,2))]. 3307 T(x,T(y,x) \ y) = x. [para(199(a,1),3306(a,1,2,2))]. 3308 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(53,a,3307,a)]. 3309 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3307(a,1),108(a,1,2))]. 3311 K(K(x,y),T(z,y) \ z) = 1. [para(3308(a,1),2221(a,1,2))]. 3312 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1226(a,1),3311(a,1,1))]. 3313 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [hyper(115,a,3312,a(flip),b,2319,a),flip(a)]. 3314 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3312(a,1),2658(a,1,2))]. 3315 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(62,a,1292,a,b,3309,a)]. 3316 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3309(a,1),1681(a,1,2,1))]. 3317 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3309(a,1),1989(a,1,1,2,1))]. 3318 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(273,a,3256,a(flip),b,3313,a),flip(a)]. 3319 (T(x,y) \ x) \ 1 = x \ T(x,y). [hyper(171,a,3318,a)]. 3320 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3276(a,1),3318(a,1,2)),flip(a)]. 3321 R(x,T(y,z) \ y,(T(y,z) \ y) \ 1) = (x * (T(y,z) \ y)) * (y \ T(y,z)). [para(3319(a,1),232(a,1,2)),flip(a)]. 3323 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. [para(3314(a,1),2936(a,1,2,1))]. 3324 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(74(a,1),3132(a,1,1,2)),flip(a)]. 3325 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(3157(a,1),2860(a,1,2))]. 3326 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(2729,a,3164,a)]. 3327 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(62,a,270,a(flip),b,3164,a)]. 3328 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3164(a,1),613(a,1,1))]. 3330 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3193(a,1),2152(a,1,2))]. 3331 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3193(a,1),2591(a,1,1,2)),flip(a)]. 3332 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(53,a,3330,a)]. 3333 (K(x,y) \ y) * K(x,y) = y. [hyper(33,a,86,a(flip),b,3218,a),flip(a)]. 3334 x / K(y,x) = K(y,x) \ x. [hyper(128,a,3333,a)]. 3335 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(3333(a,1),20(a,2,1,1))]. 3338 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(3219(a,1),2526(a,2,1))]. 3339 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(110(a,1),3260(a,1,1)),flip(a)]. 3340 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(9(a,1),3339(a,1,1,2)),flip(a)]. 3341 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1144(a,1),3262(a,1,1)),flip(a)]. 3342 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1154(a,2),3262(a,1,1)),flip(a)]. 3343 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(62,a,2674,a,b,3270,a)]. 3344 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1007,a,3285,a),flip(a)]. 3345 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(585(a,1),3304(a,1,1,2))]. 3347 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3343(a,1),2993(a,1,2)),flip(a)]. 3348 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3344(a,2),935(a,1,2))]. 3349 R(x,x \ T(x,y),T(x,z)) = x. [hyper(689,a,3348,a)]. 3350 L(x,x \ T(x,y),x) = x. [para(3349(a,1),999(a,1,1))]. 3351 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3029(a,2),3083(a,1,1))]. 3352 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(2812,a,3091,a)]. 3353 K(1 / x,y) != z | K(x \ 1,y) = z. [para(2616(a,1),3101(a,1))]. 3355 (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). [para(3181(a,2),2976(a,1,1))]. 3358 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3309(a,1),3316(a,2,1))]. 3359 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(9(a,1),3340(a,1,1)),flip(a)]. 3360 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(176,a,3359,a)]. 3361 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(62,a,3320,a,b,3360,a)]. 3362 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(115,a,3361,a(flip),b,940,a),flip(a)]. 3363 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(199(a,1),3361(a,2,1))]. 3364 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3362(a,1),3063(a,1,2))]. 3365 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(199(a,1),3364(a,1,2,2,1))]. 3366 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1148(a,1),3365(a,1,2,2,2))]. 3367 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3315(a,1),3363(a,1,1))]. 3368 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(176,a,3367,a)]. 3369 (x * (T(y,x) \ y)) * (y \ T(y,x)) = x. [hyper(131,a,3367,a)]. 3370 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1148(a,1),3368(a,1,2,2))]. 3371 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3347(a,1),1734(a,1,1)),flip(a)]. 3372 T(x,(x * y) \ y) = (x \ 1) \ 1. [hyper(212,a,3355,a(flip),b,2544,a(flip))]. 3374 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(12(a,1),3372(a,1,2,1))]. 3375 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(9(a,1),3374(a,1,2))]. 3376 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(3374(a,1),2589(a,1,1)),flip(a)]. 3377 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(273,a,2973,a,b,3375,a),flip(a)]. 3378 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(109(a,2),3377(a,2,2,2)),flip(a)]. 3379 T(x / (x * y),y) \ x = x * T(y,y \ 1). [hyper(171,a,3378,a)]. 3380 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3367(a,1),3358(a,1,2)),flip(a)]. 3381 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(743,a,3038,a)]. 3382 T(x,L(K(y,y \ 1),y,z)) = x. [para(3067(a,2),2986(a,1,2))]. 3384 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(9(a,1),3261(a,2,1))]. 3386 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3290(a,1),959(a,1,2)),flip(a)]. 3387 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(10(a,1),3386(a,1,1)),flip(a)]. 3388 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(62,a,2026,a,b,3291,a)]. 3394 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2311(a,1),3086(a,1,2))]. 3396 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3126(a,1),3108(a,2,1,1))]. 3397 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(33,a,3089,a,b,3122,a),flip(a)]. 3398 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3273(a,1),3283(a,2,2,1,2))]. 3399 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(273,a,3309,a(flip),b,3317,a),flip(a)]. 3400 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(2749,a,3325,a)]. 3401 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3400(a,1),2866(a,1,1))]. 3402 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(89(a,2),3401(a,1,1,2))]. 3404 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3367(a,1),3399(a,1,1,2))]. 3405 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(33,a,3398,a(flip),b,3404,a(flip))]. 3407 (x * (y \ T(y,x))) * (T(y,x) \ y) != z | x = z. [para(3405(a,1),225(a,1,2))]. 3408 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(3060(a,1),3177(a,1,1))]. 3409 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(3227(a,2),885(a,1,1,2))]. 3410 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(417(a,1),3280(a,2,1))]. 3411 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3190(a,1),3371(a,1,1)),flip(a)]. 3412 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(237(a,1),2945(a,1,1)),flip(a)]. 3413 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3246(a,1),2947(a,2,2))]. 3414 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(109(a,1),3413(a,1,2,1))]. 3416 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [hyper(129,a,3414,a)]. 3417 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) != u | x * T(y,z) = u. [para(3414(a,1),222(a,1,1))]. 3418 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3120(a,1),2910(a,1,2))]. 3420 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(27(a,2),3258(a,2,1))]. 3421 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1661(a,1),3297(a,1,1))]. 3422 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(108(a,1),3421(a,2,1))]. 3423 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(273,a,2989,a(flip),b,3422,a),flip(a)]. 3425 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3423(a,1),1667(a,1,1)),flip(a)]. 3426 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(273,a,3238,a(flip),b,3425,a),flip(a)]. 3429 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3426(a,1),3423(a,1,1))]. 3431 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(107(a,1),3429(a,1,1,1))]. 3437 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3431(a,1),901(a,1,1,2))]. 3438 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3342(a,1),3303(a,1,3))]. 3439 T(x,K(y,x) \ 1) = x. [para(3342(a,1),3307(a,1,2))]. 3440 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3439(a,1),108(a,1,2))]. 3442 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3440(a,1),192(a,2,1)),flip(a)]. 3443 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(273,a,3438,a(flip),b,3442,a),flip(a)]. 3445 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1807(a,1),3394(a,1,2))]. 3446 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1866(a,1),3420(a,1,1)),flip(a)]. 3447 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(3007(a,2),3057(a,1,1))]. 3448 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(108(a,2),3171(a,2,1,1,1))]. 3449 R(x,y \ T(y,x),T(y,x) \ y) = x. [hyper(3407,a,3264,a),flip(a)]. 3450 R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(1148(a,1),3449(a,1,2,2))]. 3451 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(3222(a,1),3282(a,2,2))]. 3452 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [hyper(273,a,228,a(flip),b,3451,a),flip(a)]. 3453 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(3243(a,1),3452(a,1,1))]. 3454 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [hyper(62,a,980,a(flip),b,3453,a)]. 3455 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(10(a,1),3454(a,1,1,2)),flip(a)]. 3456 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(3273(a,1),3455(a,2,1))]. 3457 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [hyper(273,a,3221,a(flip),b,3456,a),flip(a)]. 3458 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [hyper(116,a,3457,a(flip),b,228,a)]. 3459 R(1 / x,x,y \ T(y,x)) = 1 / x. [hyper(393,a,3458,a)]. 3460 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(674(a,1),3459(a,1,3))]. 3461 R(1 / x,x,K(y,x)) = 1 / x. [para(1150(a,2),3460(a,1,3))]. 3462 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(62,a,193,a(flip),b,3461,a)]. 3463 (1 / x) \ K(y,x) = x * K(y,x). [para(3461(a,1),362(a,1,1))]. 3464 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(129,a,3462,a)]. 3465 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(35,a,163,a,b,3462,a),flip(a)]. 3466 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(3105,a,3463,a)]. 3469 K(x \ 1,x) * K(y,x) != z | (x \ 1) * (x * K(y,x)) = z. [para(3464(a,1),2749(a,1,2))]. 3470 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3044,a,3466,a)]. 3471 x * K(y \ 1,y) != y * K(z,y) | (y \ 1) \ K(z,y) = x. [para(3466(a,1),43(a,1)),flip(a)]. 3472 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1370(a,1),3165(a,2,1))]. 3475 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3472(a,2),626(a,1))]. 3476 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3110(a,1),3366(a,1,2,2))]. 3477 T(x,x \ K(y,x)) = x * K(x,x \ 1). [hyper(273,a,2547,a,b,3476,a),flip(a)]. 3478 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3476(a,1),236(a,1,2))]. 3479 T(x,x \ K(y,x)) != x * z | K(x,x \ 1) = z. [para(3477(a,2),42(a,1))]. 3480 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3478(a,1),2564(a,1,1))]. 3481 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3478(a,1),2643(a,1,1)),flip(a)]. 3482 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3480(a,1),2260(a,1,2)),flip(a)]. 3483 (x * (T(y,z) \ y)) * (y \ T(y,z)) = R(x,T(y,z) \ y,y \ T(y,z)). [para(3319(a,1),3321(a,1,3)),flip(a)]. 3484 R(x,T(y,x) \ y,y \ T(y,x)) = x. [hyper(62,a,3369,a(flip),b,3483,a),flip(a)]. 3485 R((x * y) / x,T(z,y) \ z,z \ T(z,y)) = (x * y) / x. [para(3484(a,1),764(a,2,1,2))]. 3486 (((x * y) / x) * (T(z,y) \ z)) * (z \ T(z,y)) = (x * y) / x. [hyper(62,a,3483,a,b,3485,a)]. 3488 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(273,a,409,a,b,3096,a)]. 3489 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(3025(a,1),3381(a,1,1,2))]. 3490 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2586(a,1),3489(a,1,1))]. 3491 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3418(a,1),3402(a,1,1,2))]. 3492 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(62,a,3401,a(flip),b,3491,a),flip(a)]. 3493 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(11(a,1),3492(a,1,2)),flip(a)]. 3494 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1555(a,1),3493(a,1,2))]. 3495 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2647(a,1),3494(a,1,2))]. 3496 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3047(a,1),3495(a,1,2))]. 3497 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2605(a,1),3445(a,2,1,2))]. 3498 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(273,a,166,a(flip),b,3497,a),flip(a)]. 3500 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(197(a,1),3167(a,2,1))]. 3501 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(273,a,337,a(flip),b,3500,a),flip(a)]. 3504 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3501(a,1),260(a,1,2)),flip(a)]. 3505 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(273,a,8,a(flip),b,3504,a),flip(a)]. 3506 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3505(a,1),280(a,1,1))]. 3507 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3506,a,2499,a)]. 3508 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(115,a,3507,a(flip),b,2193,a)]. 3509 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(77(a,1),3507(a,1,2))]. 3510 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1030(a,1),3509(a,1,1))]. 3511 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1378(a,1),3510(a,1,1)),flip(a)]. 3512 L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(29(a,1),3170(a,1,1))]. 3513 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(273,a,3411,a(flip),b,3331,a),flip(a)]. 3514 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3193(a,1),3513(a,1,1))]. 3515 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(776(a,1),3245(a,1,2)),flip(a)]. 3516 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(62,a,1864,a(flip),b,3515,a),flip(a)]. 3517 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2941(a,2),3412(a,2,2,1))]. 3518 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(273,a,209,a(flip),b,3517,a),flip(a)]. 3519 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3182(a,1),3518(a,1,2))]. 3520 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3182(a,1),3519(a,1,2))]. 3523 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3520(a,1),3075(a,1,2))]. 3524 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(77(a,1),3523(a,1,2,1,1,1))]. 3525 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(33,a,2747,a,b,3524,a)]. 3526 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3525(a,1),2774(a,1,2))]. 3527 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3387(a,1),3388(a,1,1))]. 3528 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(769,a,3527,a)]. 3529 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(9(a,1),3528(a,1,1)),flip(a)]. 3530 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(115,a,3350,a(flip),b,3529,a)]. 3531 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1337(a,1),3530(a,1,1,2)),flip(a)]. 3532 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3276(a,1),3530(a,1,1)),flip(a)]. 3533 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3361(a,1),3532(a,1,2)),flip(a)]. 3534 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(199(a,1),3533(a,1,1,2)),flip(a)]. 3535 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(199(a,1),3534(a,1,2,1)),flip(a)]. 3536 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [hyper(131,a,3535,a)]. 3537 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(9(a,1),3531(a,2,1))]. 3539 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3384(a,1),3537(a,1,2))]. 3541 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1805(a,1),2940(a,1,1))]. 3543 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3182(a,1),3541(a,1,1))]. 3544 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(77(a,1),3543(a,1,2,1))]. 3546 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(3009,a,3544,a)]. 3548 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3544(a,1),2726(a,1,2)),flip(a)]. 3549 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1807(a,1),3546(a,1,2))]. 3550 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(74(a,1),3549(a,2,1,1,2))]. 3552 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(3043,a,3550,a)]. 3553 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(9(a,1),3552(a,1,2)),flip(a)]. 3554 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [hyper(131,a,3553,a)]. 3555 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1923(a,2),3554(a,1,2))]. 3556 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2755(a,1),3554(a,1,2)),flip(a)]. 3557 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3556(a,1),936(a,1,2))]. 3558 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(116,a,3557,a(flip),b,3524,a(flip))]. 3559 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2792(a,1),3555(a,1,2))]. 3560 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(109(a,2),3559(a,1,2,1))]. 3561 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1856(a,1),3090(a,1,1))]. 3562 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3246(a,1),3561(a,1,1))]. 3563 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(77(a,1),3562(a,2,2))]. 3567 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3563(a,1),2774(a,1,2))]. 3568 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1063(a,1),3299(a,2,1))]. 3569 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(3037,a,3036,a),flip(a)]. 3570 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3526(a,1),3328(a,1,2))]. 3571 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3570(a,1),453(a,1))]. 3572 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(9(a,1),2893(a,1,2,1)),flip(a)]. 3573 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(3572(a,1),1241(a,1,1,2))]. 3574 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(62,a,2953,a(flip),b,2894,a)]. 3575 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3498(a,1),2682(a,1,1))]. 3576 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(877(a,1),3575(a,2,1,2))]. 3577 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2638(a,1),2648(a,1,2)),flip(a)]. 3578 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(273,a,20,a,b,3577,a),flip(a)]. 3579 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3577(a,2),482(a,1))]. 3580 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(62,a,2681,a(flip),b,3578,a),flip(a)]. 3581 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2706(a,1),2740(a,1,2)),flip(a)]. 3582 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3581(a,2),453(a,1))]. 3583 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2863(a,1),2864(a,2,2,1,1))]. 3584 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(273,a,3275,a(flip),b,3583,a),flip(a)]. 3586 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3275(a,1),3584(a,1,1))]. 3587 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3586(a,1),3437(a,1,1))]. 3588 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3431(a,1),3587(a,2,1))]. 3590 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(131,a,3588,a)]. 3592 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(62,a,3034,a(flip),b,3590,a)]. 3593 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(11(a,1),3300(a,1,1,1))]. 3595 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3593(a,1),43(a,1)),flip(a)]. 3596 R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(3110(a,1),3450(a,1,2))]. 3597 R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. [para(3341(a,1),3596(a,1,3))]. 3598 R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. [para(9(a,1),3597(a,1,3,1,2,2,1))]. 3599 R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. [para(108(a,1),3598(a,1,3,1,2))]. 3600 R(x,K(y,x),K(y,x) \ 1) = x. [para(16(a,2),3599(a,1,3,1))]. 3601 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(115,a,3600,a(flip),b,232,a)]. 3602 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3351(a,1),2818(a,1,1))]. 3603 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3275(a,1),2886(a,2,1))]. 3604 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3166(a,1),3305(a,1,2))]. 3605 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(27(a,2),3604(a,1,2))]. 3606 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(2067(a,1),3605(a,1,2,1)),flip(a)]. 3607 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(273,a,1866,a(flip),b,3606,a),flip(a)]. 3609 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(62,a,3352,a(flip),b,3607,a)]. 3610 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1688(a,2),3609(a,1,2))]. 3611 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3610(a,1),2523(a,1,1)),flip(a)]. 3612 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3110(a,1),3370(a,1,2)),flip(a)]. 3613 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(273,a,3334,a(flip),b,3612,a),flip(a)]. 3614 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3341(a,1),3612(a,1,2))]. 3615 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(9(a,1),3614(a,1,2,1,2,2,1))]. 3616 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(108(a,1),3615(a,1,2,1,2))]. 3617 x * (K(y,x) \ 1) = x / K(y,x). [para(16(a,2),3616(a,1,2,1))]. 3618 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(273,a,3334,a(flip),b,3617,a),flip(a)]. 3620 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(115,a,3334,a(flip),b,3617,a)]. 3621 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(115,a,3618,a(flip),b,3440,a)]. 3622 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3618(a,1),42(a,1))]. 3623 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3618(a,1),167(a,1,2,1))]. 3624 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3618(a,1),3443(a,1,1))]. 3626 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3621(a,1),878(a,1,2,1))]. 3627 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(131,a,3624,a)]. 3628 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3627(a,1),2645(a,1,1)),flip(a)]. 3629 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(62,a,269,a(flip),b,3626,a),flip(a)]. 3630 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(62,a,267,a(flip),b,3629,a),flip(a)]. 3631 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(273,a,3630,a(flip),b,3628,a),flip(a)]. 3632 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3631(a,1),2398(a,1,2,2))]. 3633 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3613(a,1),3380(a,1,1)),flip(a)]. 3634 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(554,a,3632,a),flip(a)]. 3635 K(x,(y \ 1) \ 1) = K(x,y). [hyper(273,a,612,a(flip),b,3634,a)]. 3636 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3634(a,2),615(a,1))]. 3637 K(x,1 / y) = K(x,y \ 1). [para(77(a,1),3635(a,1,2,1)),flip(a)]. 3638 K(x,1 / (1 / y)) = K(x,y). [para(175(a,1),3635(a,1,2)),flip(a)]. 3639 K(x,T(y,1 / y)) = K(x,y). [para(1791(a,2),3635(a,1,2))]. 3640 K(x,T(y / z,z / y)) = K(x,y / z). [para(2072(a,2),3635(a,1,2))]. 3642 K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). [para(2941(a,2),3635(a,1,2))]. 3643 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2943(a,1),3635(a,1,2)),flip(a)]. 3644 K(x,T(y / z,y \ z)) = K(x,y / z). [para(3374(a,2),3635(a,1,2))]. 3645 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3635(a,1),3465(a,2,2))]. 3648 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(62,a,1400,a,b,3637,a)]. 3650 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3637(a,2),3465(a,2,2))]. 3652 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(62,a,1177,a,b,3638,a)]. 3653 K(x,(y / (1 / (1 / z))) / y) = K(x,(y / z) / y). [para(2956(a,2),3638(a,1,2))]. 3654 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(271(a,2),3642(a,1,2))]. 3655 K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). [para(2979(a,1),3642(a,1,2,1)),flip(a)]. 3656 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(62,a,3609,a(flip),b,3648,a)]. 3657 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3648(a,1),2491(a,1,1))]. 3658 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3656(a,1),3611(a,2,1))]. 3659 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(108(a,1),3652(a,1,1,2))]. 3660 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3079(a,1),3633(a,1,2))]. 3661 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(1150(a,2),3660(a,1,2)),flip(a)]. 3662 1 / (x \ K(y,x)) = K(y,x) \ x. [hyper(176,a,3661,a)]. 3663 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(273,a,3657,a(flip),b,3658,a),flip(a)]. 3664 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(33,a,1804,a(flip),b,3663,a),flip(a)]. 3665 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(62,a,3511,a,b,3664,a)]. 3666 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(176,a,3665,a),flip(a)]. 3667 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(172(a,1),3665(a,1,1,1)),flip(a)]. 3668 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2934(a,1),3665(a,1,1,1))]. 3669 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [hyper(171,a,3667,a),flip(a)]. 3670 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. [para(2943(a,1),3667(a,1,2,1))]. 3671 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(62,a,928,a,b,3669,a)]. 3672 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(77(a,1),3669(a,1,1,1)),flip(a)]. 3673 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2582(a,1),3669(a,2,1,1))]. 3674 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3669(a,2),3127(a,1,2))]. 3675 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3669(a,2),2968(a,1,1))]. 3676 K(x,R(T(y,y \ 1),z,u)) = K(x,R(y,z,u)). [para(3671(a,2),3635(a,1,2))]. 3677 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3672(a,1),3109(a,1,1)),flip(a)]. 3678 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3672(a,1),3127(a,1,2)),flip(a)]. 3679 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(671(a,1),3668(a,1,1)),flip(a)]. 3680 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. [para(853(a,1),3670(a,2,1))]. 3681 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(62,a,3376,a,b,3673,a)]. 3682 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. [para(3681(a,1),2317(a,1,1)),flip(a)]. 3683 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. [para(1218(a,1),3680(a,1,2))]. 3684 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(7(a,1),3683(a,1,2,1,2)),flip(a)]. 3685 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(7(a,1),3684(a,1,1,2)),flip(a)]. 3686 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(171,a,3685,a),flip(a)]. 3687 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2804(a,1),3685(a,1,2))]. 3688 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(3686(a,2),3127(a,1,2))]. 3689 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(77(a,1),3687(a,1,2,2,1)),flip(a)]. 3690 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [hyper(176,a,3689,a)]. 3691 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [hyper(131,a,3690,a(flip))]. 3693 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(116,a,3691,a(flip),b,2950,a)]. 3694 (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). [para(77(a,1),3691(a,1,2,2,2,2)),flip(a)]. 3695 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(74(a,1),3693(a,1,1,1,2)),flip(a)]. 3696 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3695(a,1),3638(a,1,2))]. 3697 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(62,a,2846,a,b,3696,a)]. 3698 ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [hyper(129,a,3682,a(flip))]. 3699 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(251,a,3675,a),flip(a)]. 3700 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2953(a,1),3699(a,2,1))]. 3701 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(62,a,3574,a(flip),b,3700,a)]. 3702 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3251(a,1),3701(a,2,1))]. 3703 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(3125(a,1),3659(a,1,2,1,2))]. 3704 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(108(a,1),3703(a,1,2,1))]. 3705 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(3125(a,1),3704(a,2,1,2))]. 3706 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(108(a,1),3705(a,2,1))]. 3707 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(62,a,2194,a(flip),b,3706,a)]. 3708 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(1781(a,1),3707(a,1,1,2))]. 3709 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(74(a,1),3708(a,1,1,2,2))]. 3710 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(3123(a,2),3708(a,1,1))]. 3711 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(12(a,1),3710(a,2,1))]. 3712 K(K(x \ 1,x) * y,x) = K(y,x). [para(2790(a,1),3711(a,1,1))]. 3713 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(1859(a,1),3712(a,1,1,1))]. 3714 K(K(x,x \ 1) * y,x) = K(y,x). [para(2763(a,1),3712(a,1,1)),flip(a)]. 3715 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(2767(a,1),3712(a,1,1))]. 3716 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2255(a,2),3714(a,1,1))]. 3717 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2758(a,1),3715(a,1,1))]. 3718 K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). [para(2709(a,1),3713(a,1,1)),flip(a)]. 3719 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2773(a,1),3716(a,1,1,1))]. 3720 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(62,a,892,a,b,3717,a)]. 3721 K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). [hyper(62,a,3637,a,b,3718,a)]. 3722 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1824(a,1),3168(a,1,1))]. 3723 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1824(a,1),3722(a,1,2,3))]. 3724 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2853(a,1),3723(a,1,2)),flip(a)]. 3725 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3142(a,1),3724(a,1,1))]. 3726 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1824(a,1),3725(a,1,2))]. 3727 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(3094(a,1),3725(a,1,1)),flip(a)]. 3728 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(62,a,3134,a(flip),b,3726,a),flip(a)]. 3729 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(273,a,3408,a(flip),b,3728,a),flip(a)]. 3730 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(273,a,2581,a(flip),b,3729,a),flip(a)]. 3731 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(62,a,3730,a(flip),b,3727,a)]. 3732 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1824(a,1),3731(a,2,2))]. 3733 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(273,a,3134,a(flip),b,3732,a),flip(a)]. 3734 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(273,a,3332,a(flip),b,3733,a),flip(a)]. 3735 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3257(a,1),3734(a,1,1))]. 3736 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(62,a,3514,a(flip),b,3735,a)]. 3737 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3736(a,1),816(a,1,1))]. 3738 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(62,a,462,a(flip),b,3737,a),flip(a)]. 3739 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(273,a,16,a,b,3738,a)]. 3740 L(K(x,y),y \ 1,y) = K(x,y). [para(16(a,2),3739(a,2,1)),flip(a)]. 3741 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(77(a,1),3488(a,1,1,3))]. 3742 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2581(a,1),3741(a,1,1))]. 3743 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(12(a,1),3573(a,1,1,2))]. 3745 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1069(a,1),3743(a,1,1)),flip(a)]. 3747 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3745(a,1),3568(a,1,1))]. 3748 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(115,a,3747,a(flip),b,3539,a)]. 3749 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(62,a,3352,a(flip),b,3748,a)]. 3750 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(62,a,3648,a(flip),b,3749,a),flip(a)]. 3751 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(38,a,2330,a,b,3750,a)]. 3752 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3656(a,2),3751(a,1,1))]. 3753 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(62,a,3446,a,b,3752,a)]. 3754 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3475,a,3753,a)]. 3755 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(62,a,3516,a,b,3754,a)]. 3756 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3754(a,1),2360(a,2,1,1))]. 3757 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(131,a,3755,a)]. 3758 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(273,a,3666,a(flip),b,3757,a),flip(a)]. 3759 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(33,a,1774,a,b,3758,a)]. 3760 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(398,a,3759,a)]. 3761 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3759(a,1),1812(a,1,1)),flip(a)]. 3762 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3760(a,1),319(a,1))]. 3763 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3760(a,1),3702(a,1,1))]. 3764 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(273,a,3750,a(flip),b,3761,a),flip(a)]. 3765 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3763(a,1),43(a,1))]. 3766 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3109(a,1),3763(a,1,1))]. 3767 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1859(a,1),3766(a,2,1,2))]. 3769 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3759(a,1),3756(a,1,1)),flip(a)]. 3770 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(450,a,3769,a)]. 3771 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3109(a,1),3770(a,1,3))]. 3772 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3771(a,1),94(a,1,2))]. 3773 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(34,a,3767,a(flip),b,3772,a),flip(a)]. 3774 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(34,a,3007,a,b,3773,a),flip(a)]. 3777 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3774(a,1),3767(a,1,1)),flip(a)]. 3778 L(x,y,K(z,z \ 1)) = x. [para(3774(a,1),3771(a,1,3))]. 3779 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1095,a,3778,a),flip(a)]. 3780 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(62,a,3069,a(flip),b,3778,a)]. 3781 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(62,a,96,a(flip),b,3778,a)]. 3782 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3778(a,1),386(a,1,2)),flip(a)]. 3783 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3778(a,1),506(a,1,2))]. 3786 L(x,y,K(z,1 / z)) = x. [para(1802(a,2),3778(a,1,3))]. 3787 L(x,y,K(z \ 1,z)) = x. [para(1807(a,1),3778(a,1,3))]. 3788 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3778(a,1),1835(a,1,2)),flip(a)]. 3789 L(x,y,K(z \ u,u \ z)) = x. [para(2307(a,1),3778(a,1,3))]. 3791 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [hyper(1095,a,3786,a),flip(a)]. 3792 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3786(a,1),386(a,1,2)),flip(a)]. 3793 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3582,a,3787,a),flip(a)]. 3794 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1095,a,3787,a),flip(a)]. 3800 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(62,a,3490,a(flip),b,3787,a),flip(a)]. 3801 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(62,a,3489,a(flip),b,3787,a),flip(a)]. 3802 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(62,a,3073,a(flip),b,3787,a),flip(a)]. 3803 L(x,y,K(z \ 1,z)) != u | u = x. [para(3787(a,1),49(a,1)),flip(a)]. 3804 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3787(a,1),506(a,1,2))]. 3808 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(62,a,2720,a,b,3793,a)]. 3809 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(62,a,460,a(flip),b,3793,a),flip(a)]. 3810 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(74(a,1),3793(a,1,3)),flip(a)]. 3812 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(62,a,2678,a,b,3800,a)]. 3814 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(3569(a,2),3803(a,1)),flip(b)]. 3815 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3571,a,3810,a)]. 3817 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(3009,a,3782,a)]. 3818 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3782(a,1),3009(a,1))]. 3819 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(3009,a,3788,a)]. 3820 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(62,a,96,a(flip),b,3815,a),flip(a)]. 3821 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(525,a,3819,a),flip(a)]. 3822 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [hyper(171,a,3821,a)]. 3823 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(273,a,3007,a(flip),b,3777,a),flip(a)]. 3825 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(116,a,3777,a(flip),b,104,a)]. 3826 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(3041(a,1),3777(a,1,1)),flip(a)]. 3828 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(478,a,3779,a)]. 3832 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(62,a,2522,a,b,3828,a)]. 3834 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(3019(a,1),3780(a,1,1)),flip(a)]. 3836 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(3019(a,1),3781(a,1,1)),flip(a)]. 3837 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(3054(a,1),3781(a,1,1))]. 3838 (K(x,x \ 1) * y) / z != K(x,x \ 1) * u | y / z = u. [para(3783(a,2),42(a,1))]. 3839 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(3007(a,1),3783(a,1,1))]. 3840 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3783(a,1),3070(a,1,1))]. 3841 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(273,a,3003,a(flip),b,3791,a),flip(a)]. 3843 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3794(a,1),20(a,2,1,1)),flip(a)]. 3845 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(2988(a,1),3794(a,1,1))]. 3846 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(3023(a,1),3794(a,1,1)),flip(a)]. 3849 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(8(a,1),3802(a,2,2))]. 3850 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3802(a,1),2796(a,1))]. 3851 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(3049(a,1),3802(a,1,1)),flip(a)]. 3852 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3804(a,1),110(a,1,1))]. 3855 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [para(3049(a,1),3823(a,1,1)),flip(a)]. 3856 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(377,a,3826,a),flip(a)]. 3857 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2988(a,1),3856(a,1,1))]. 3858 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(273,a,109,a,b,3834,a)]. 3860 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(116,a,142,a(flip),b,3841,a)]. 3861 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3765,a,3845,a)]. 3862 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [hyper(3417,a,3845,a),flip(a)]. 3863 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3845(a,1),14(a,2,1)),flip(a)]. 3864 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3845(a,1),18(a,2,1)),flip(a)]. 3866 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3845(a,1),453(a,1,2,2))]. 3868 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3845(a,1),2738(a,1,1))]. 3869 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3762,a,3861,a)]. 3873 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(755,a,3860,a)]. 3876 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2697(a,1),3837(a,1,2)),flip(a)]. 3877 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3851(a,1),3603(a,1,2,1)),flip(a)]. 3878 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2748(a,1),3852(a,1,1))]. 3879 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(62,a,3447,a(flip),b,3825,a),flip(a)]. 3880 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1807(a,1),3879(a,1,2)),flip(a)]. 3881 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1807(a,1),3880(a,1,3)),flip(a)]. 3882 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3794(a,1),3843(a,1,1))]. 3883 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(62,a,3804,a(flip),b,3882,a)]. 3884 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(20(a,2),3883(a,1,2)),flip(a)]. 3885 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(273,a,3092,a(flip),b,3884,a),flip(a)]. 3886 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2776,a,3884,a(flip))]. 3887 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1762(a,1),3886(a,1,2,1))]. 3888 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2763(a,1),3886(a,1,2,1)),flip(a)]. 3889 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(273,a,3007,a(flip),b,3888,a),flip(a)]. 3890 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3112(a,1),3877(a,2,2))]. 3891 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(3020(a,1),3885(a,1,1)),flip(a)]. 3892 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(10(a,1),3891(a,1,1,2,1)),flip(a)]. 3893 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(116,a,3892,a,b,xx)]. 3894 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(489(a,1),3892(a,2,1,2))]. 3895 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2582(a,1),3892(a,2,1,2))]. 3896 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(79(a,1),3893(a,1,1,1)),flip(a)]. 3897 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(131,a,3896,a),flip(a)]. 3898 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3897(a,2),2476(a,1,1))]. 3899 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(116,a,3894,a(flip),b,232,a)]. 3900 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(62,a,3576,a(flip),b,3895,a),flip(a)]. 3901 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(116,a,3895,a(flip),b,2583,a),flip(a)]. 3902 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3895(a,1),3742(a,1,1)),flip(a)]. 3903 (x * (y \ T(y,x))) * y = y * x. [para(9(a,1),3900(a,1,1)),flip(a)]. 3904 x * (y \ T(y,x)) = (y * x) / y. [hyper(128,a,3903,a),flip(a)]. 3905 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(116,a,10,a(flip),b,3903,a),flip(a)]. 3906 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(34,a,108,a(flip),b,3903,a),flip(a)]. 3907 x \ ((y * x) / y) = y \ T(y,x). [hyper(122,a,3904,a)]. 3908 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(115,a,728,a(flip),b,3904,a)]. 3909 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(115,a,199,a(flip),b,3904,a)]. 3910 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(115,a,145,a(flip),b,3904,a),flip(a)]. 3911 ((x * y) / x) * (T(x,y) \ x) = y. [hyper(34,a,3486,a,b,3904,a)]. 3912 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(33,a,3248,a,b,3904,a)]. 3913 ((x * y) / x) / y = x \ T(x,y). [hyper(33,a,3244,a,b,3904,a)]. 3914 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3904(a,1),883(a,1,2))]. 3915 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3904(a,1),2202(a,1,1))]. 3916 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3079(a,1),3904(a,1,2)),flip(a)]. 3917 ((x * y) / x) \ y = T(x,y) \ x. [para(3904(a,1),3405(a,1,1))]. 3918 (T(x,y) \ x) * ((x * y) / x) = y. [para(3904(a,1),3536(a,1,2))]. 3919 T(x,T(y,x)) \ x = y \ T(y,x). [para(3906(a,1),3405(a,1,1)),flip(a)]. 3920 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3907(a,1),458(a,1,1))]. 3921 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3909(a,2),3279(a,1,1))]. 3922 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3913(a,1),467(a,1,1,1))]. 3923 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3913(a,1),567(a,1,1,1))]. 3924 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(10(a,1),3917(a,1,1,1)),flip(a)]. 3925 ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. [para(728(a,1),3917(a,1,1))]. 3926 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3917(a,1),1173(a,1,2,2,1))]. 3927 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3595,a,3918,a)]. 3929 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3919(a,1),3189(a,1,1))]. 3930 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3919(a,2),3903(a,1,1,2))]. 3931 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3079(a,1),3929(a,1,1))]. 3932 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(109(a,1),3905(a,1,2,2))]. 3934 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3915(a,1),453(a,1,1))]. 3935 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(212,a,3930,a,b,xx)]. 3937 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(122,a,3932,a)]. 3938 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(199(a,1),3920(a,2,2)),flip(a)]. 3939 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(110(a,1),3910(a,1,2))]. 3940 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(62,a,3924,a,b,3939,a)]. 3941 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(131,a,3940,a(flip)),flip(a)]. 3942 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(9(a,1),3941(a,2,2,1,2))]. 3943 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1331,a,3912,a)]. 3945 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(62,a,1040,a,b,3912,a)]. 3946 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1316,a,3912,a(flip))]. 3947 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3912(a,1),2111(a,1,1))]. 3948 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3912(a,1),2125(a,2,2,1))]. 3949 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3912(a,1),2113(a,2,2,1))]. 3950 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3912(a,1),2488(a,1,1))]. 3951 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2104,a,3946,a)]. 3954 T(x,x / (y * x)) = T(x,y \ 1). [hyper(62,a,3301,a,b,3946,a)]. 3955 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(62,a,1334,a,b,3946,a)]. 3956 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(62,a,1335,a(flip),b,3946,a),flip(a)]. 3957 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(116,a,3946,a(flip),b,2099,a)]. 3958 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3946(a,1),2101(a,2,2))]. 3959 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3954(a,1),1009(a,1,2))]. 3960 K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. [para(3943(a,2),3256(a,1,1))]. 3961 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(236(a,1),3955(a,1,2,2,1)),flip(a)]. 3962 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(77(a,1),3957(a,1,1,2))]. 3963 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3957(a,2),192(a,2,1))]. 3964 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(879,a,3959,a),flip(a)]. 3965 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(131,a,3959,a)]. 3966 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(77(a,1),3959(a,2,2,1))]. 3967 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(363(a,2),3959(a,2,2)),flip(a)]. 3968 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1154(a,2),3931(a,1,1)),flip(a)]. 3969 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3942(a,2),42(a,1))]. 3970 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3942(a,1),1176(a,1,1)),flip(a)]. 3971 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(115,a,3962,a,b,xx)]. 3972 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1112,a,3966,a)]. 3973 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(77(a,1),3967(a,2,2,2))]. 3974 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(1152(a,1),3968(a,1,2))]. 3975 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(1154(a,2),3916(a,2,2))]. 3976 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1582(a,1),3916(a,2,2))]. 3977 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(273,a,3943,a(flip),b,3947,a),flip(a)]. 3978 K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). [para(3127(a,1),3947(a,1,1,2)),flip(a)]. 3979 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3961(a,2),42(a,1))]. 3981 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3972(a,1),431(a,1,2))]. 3982 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3295(a,1),3977(a,2,2,2,1))]. 3983 T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. [para(3978(a,1),3960(a,1,1)),flip(a)]. 3984 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3921(a,1),815(a,1,1))]. 3985 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(273,a,3943,a(flip),b,3950,a),flip(a)]. 3986 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(62,a,1651,a(flip),b,3901,a)]. 3987 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3943(a,1),3948(a,1,1))]. 3988 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(9(a,1),3964(a,1,2,1)),flip(a)]. 3989 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(62,a,3087,a(flip),b,3988,a),flip(a)]. 3990 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(189(a,2),3989(a,1,2))]. 3991 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(3990(a,1),767(a,1,1)),flip(a)]. 3992 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2844(a,1),3973(a,1,2))]. 3993 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3992(a,1),3697(a,1,2)),flip(a)]. 3994 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(273,a,3720,a(flip),b,3993,a)]. 3995 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3942(a,1),3970(a,1,2,1)),flip(a)]. 3996 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(453,a,3995,a),flip(a)]. 3997 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3976(a,2),42(a,1))]. 3998 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(62,a,3915,a(flip),b,3991,a)]. 3999 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(62,a,1732,a(flip),b,3998,a)]. 4000 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(9(a,1),3999(a,1,1,1)),flip(a)]. 4001 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(9(a,1),4000(a,1,1,1)),flip(a)]. 4002 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(62,a,3808,a(flip),b,3927,a)]. 4003 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2741(a,1),4002(a,2,1))]. 4004 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(62,a,4001,a(flip),b,4003,a),flip(a)]. 4005 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(3241(a,1),3996(a,1,2))]. 4006 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(273,a,260,a(flip),b,3890,a)]. 4007 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(16(a,2),3984(a,2,1))]. 4008 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(273,a,3985,a,b,3982,a),flip(a)]. 4009 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3127(a,1),4008(a,2,1,2))]. 4010 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(7(a,1),3902(a,2,1,1,2))]. 4011 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(77(a,1),4010(a,2,2))]. 4012 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3917(a,1),3926(a,2,2))]. 4013 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3878(a,2),3850(a,1))]. 4014 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3845(a,1),3864(a,1,2))]. 4015 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(62,a,3804,a(flip),b,3868,a)]. 4016 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(744,a,4014,a)]. 4017 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3803,a,4016,a)]. 4019 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2988(a,2),4017(a,1,3))]. 4020 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2769(a,1),4019(a,1,3)),flip(a)]. 4021 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3845(a,1),3863(a,1,2,1))]. 4022 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3794(a,1),4021(a,1,2))]. 4023 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(746,a,4022,a)]. 4024 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3803,a,4023,a)]. 4026 a(1 / x,y,z) = a(x \ 1,y,z). [para(701(a,1),4024(a,1,1)),flip(a)]. 4027 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(2576(a,1),4024(a,1,1)),flip(a)]. 4028 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3898(a,1),251(a,1))]. 4029 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(4028,a,3949,a)]. 4030 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3951(a,1),4029(a,1,1)),flip(a)]. 4031 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3127(a,1),4030(a,1,2,1,2)),flip(a)]. 4032 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3127(a,1),4031(a,1,1)),flip(a)]. 4033 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(9(a,1),4032(a,1,2,2)),flip(a)]. 4034 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(9(a,1),4033(a,1,2)),flip(a)]. 4035 L(x,y \ T(y,z),y) = x. [hyper(681,a,4034,a)]. 4037 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(128,a,4034,a)]. 4038 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(33,a,936,a,b,4034,a),flip(a)]. 4039 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(33,a,932,a(flip),b,4034,a),flip(a)]. 4041 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3909(a,2),4034(a,1,2,1))]. 4043 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(115,a,4035,a(flip),b,3529,a)]. 4044 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(115,a,4035,a(flip),b,3242,a),flip(a)]. 4045 L(x,T(y,T(z,y)) \ y,z) = x. [para(3919(a,2),4035(a,1,2))]. 4046 L(x,T(y,z) \ y,(y * z) / y) = x. [para(198(a,1),4045(a,1,2,1,2))]. 4047 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(115,a,4046,a(flip),b,4012,a),flip(a)]. 4048 R(x,x \ T(x,y),z) = x. [hyper(689,a,4037,a)]. 4050 R(x,x \ (K(y,x) \ x),z) = x. [para(3968(a,1),4048(a,1,2,2))]. 4051 R(x,K(y,x) \ 1,z) = x. [para(3620(a,1),4050(a,1,2))]. 4052 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4051(a,1),3623(a,1,1))]. 4053 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(62,a,3987,a(flip),b,4038,a),flip(a)]. 4054 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(62,a,3592,a(flip),b,4038,a),flip(a)]. 4056 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(128,a,4039,a)]. 4057 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4039(a,1),288(a,1,2))]. 4061 T(x,y) \ ((x * y) / x) = x \ y. [para(3904(a,1),4044(a,1,2))]. 4062 T(x,x \ y) \ (y / x) = x \ (x \ y). [para(3905(a,1),4044(a,1,2))]. 4063 T(x / y,T(y,x)) = y \ x. [hyper(1471,a,4061,a)]. 4064 T(x,x * y) \ ((x * (x * y)) / x) = y. [hyper(273,a,9,a(flip),b,4061,a),flip(a)]. 4065 T(x,y) * (x \ y) = (x * y) / x. [hyper(131,a,4061,a)]. 4066 T(x,T(x \ y,y)) = (x \ y) \ y. [para(74(a,1),4063(a,1,1))]. 4067 T(x \ y,T(x,y)) = T(x \ y,x). [para(4063(a,1),218(a,1,1)),flip(a)]. 4068 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4063(a,1),1697(a,1,1)),flip(a)]. 4069 T(x,x / (x / y)) = T(x,y). [hyper(34,a,1606,a,b,4065,a)]. 4070 (x * (x * y)) / x = T(x,x * y) * y. [para(9(a,1),4065(a,1,2)),flip(a)]. 4071 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(4065(a,1),18(a,2,1)),flip(a)]. 4073 T(x,y) * y = x * ((x * y) / x). [para(4065(a,1),936(a,1,2)),flip(a)]. 4074 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(4065(a,1),3224(a,1,1,1))]. 4075 T(x,y) = (x / y) * ((x * y) / x). [hyper(62,a,984,a,b,4069,a),flip(a)]. 4076 T(x,x / (1 / y)) = T(x,x * y). [hyper(62,a,1612,a(flip),b,4069,a)]. 4077 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(62,a,1000,a(flip),b,4069,a)]. 4078 (x / y) \ T(x,y) = (x * y) / x. [hyper(115,a,4069,a(flip),b,984,a)]. 4079 T(x,x / y) = T(x,y \ x). [para(74(a,1),4069(a,1,2,2))]. 4080 T(x,(y \ x) \ x) = T(x,y). [para(172(a,1),4069(a,1,2)),flip(a)]. 4081 T(x,T(y,x)) * T(y,x) = x * y. [para(4069(a,1),1462(a,1,1))]. 4082 T(x,T(y,x)) * (y * x) = x * (x * y). [para(4069(a,1),1497(a,1,1))]. 4083 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1501,a,4079,a),flip(a)]. 4084 T(T(x,y \ x) / y,x) = x / y. [para(4079(a,1),1001(a,1,1,1))]. 4085 T(x,T(y,y \ x)) = T(x,y). [para(109(a,2),4080(a,1,2))]. 4086 T(x * y,T(x,y)) = T(x * y,x). [para(9(a,1),4085(a,1,2,2))]. 4087 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(273,a,109,a,b,4066,a),flip(a)]. 4088 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4067(a,1),108(a,1,2))]. 4090 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(4067(a,2),399(a,1,2,2))]. 4093 T(x,x \ y) * (x \ y) = x * (y / x). [para(10(a,1),4073(a,2,2,1))]. 4095 T(x,T(x \ y,z)) * T(x \ y,z) = x * T(y / x,z). [para(420(a,1),4073(a,2,2))]. 4096 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(4073(a,2),1284(a,1,1,1))]. 4097 T(x / y,(x * y) / x) = y \ x. [hyper(212,a,4075,a(flip),b,973,a(flip))]. 4099 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4076(a,1),1511(a,1,1))]. 4100 T(x / T(y,x),y) = T(y,x) \ x. [hyper(212,a,4077,a,b,956,a)]. 4102 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(11(a,1),4078(a,1,1)),flip(a)]. 4103 T(x,(1 / y) * x) = T(x,y \ x). [para(77(a,1),4083(a,1,2,1)),flip(a)]. 4104 T(x / T(y,x),z) * y = y * T(T(y,x) \ x,z). [para(4100(a,1),209(a,1,2,1)),flip(a)]. 4105 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3292,a,4056,a)]. 4106 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4056(a,1),4007(a,1,1)),flip(a)]. 4108 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(62,a,3410,a(flip),b,4105,a)]. 4109 x * (x * T(T(x,x \ (y * x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(4062(a,2),1424(a,1,2,2,1))]. 4110 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(4064(a,1),127(a,1,2)),flip(a),flip(b)]. 4111 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(115,a,3959,a,b,4093,a)]. 4112 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(62,a,4038,a,b,4093,a)]. 4113 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4093(a,1),18(a,2,1)),flip(a)]. 4115 T(x,x \ y) * y = x * (x * (y / x)). [para(4093(a,1),936(a,1,2)),flip(a)]. 4116 ((x \ y) \ y) * y = x * (x * (y / x)). [hyper(62,a,270,a(flip),b,4115,a)]. 4119 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3913(a,1),4074(a,1,1))]. 4120 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(62,a,3938,a,b,4119,a),flip(a)]. 4123 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(273,a,4077,a(flip),b,4099,a),flip(a)]. 4125 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4123(a,1),927(a,1,2)),flip(a)]. 4126 (T(x,y) \ x) * (x * y) = y * x. [hyper(33,a,4082,a(flip),b,4041,a),flip(a)]. 4127 K(x,y) = T(T(y,x) \ y,y * x). [hyper(212,a,4126,a,b,86,a),flip(a)]. 4128 (x * y) / (y * x) = T(y,x) \ y. [hyper(128,a,4126,a)]. 4129 T(x,y / x) \ x = y / (x * (y / x)). [hyper(116,a,12,a(flip),b,4126,a),flip(a)]. 4130 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4126(a,1),280(a,1,1))]. 4132 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(10(a,1),4127(a,2,2)),flip(a)]. 4133 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(38,a,4004,a,b,4128,a(flip))]. 4134 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(12(a,1),4128(a,1,2)),flip(a)]. 4136 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1729(a,1),4133(a,1,2))]. 4137 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(3940(a,1),4132(a,1,1))]. 4138 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(131,a,4047,a)]. 4139 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(3195(a,1),4047(a,1,2))]. 4140 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [hyper(131,a,4052,a)]. 4141 T(x \ T(x * y,y),x) = R(y,x,y). [para(4102(a,1),704(a,2,1)),flip(a)]. 4142 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4102(a,1),713(a,1,1))]. 4143 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4142(a,1),88(a,1,1))]. 4146 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(34,a,418,a,b,4125,a)]. 4147 (x * (y / x)) / y = (x \ y) \ (y / x). [para(110(a,1),4134(a,1,1)),flip(a)]. 4148 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(273,a,3937,a(flip),b,4147,a),flip(a)]. 4149 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(62,a,3945,a(flip),b,4148,a),flip(a)]. 4150 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(62,a,3923,a,b,4138,a)]. 4151 (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. [para(4140(a,1),42(a,1))]. 4152 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4102(a,1),4146(a,1,1))]. 4153 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(10(a,1),4057(a,1,2))]. 4155 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3929(a,1),4153(a,1))]. 4156 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(62,a,4090,a(flip),b,4068,a),flip(a)]. 4157 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(62,a,621,a(flip),b,4156,a),flip(a)]. 4158 K(x,T(y,y * x)) = K(x,y). [hyper(62,a,621,a(flip),b,4157,a),flip(a)]. 4160 R(K(x,y),x,z) = K(x,y). [hyper(273,a,3938,a,b,4106,a),flip(a)]. 4162 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4160(a,1),104(a,1,1)),flip(a)]. 4163 (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). [para(4160(a,1),3512(a,1,1,1)),flip(a)]. 4164 L(x,y,K(y,z)) = x. [hyper(450,a,4162,a)]. 4165 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3145(a,1),4162(a,1,1))]. 4166 L(x,y,K(y,z)) = u \ (u * x). [hyper(273,a,9,a,b,4164,a),flip(a)]. 4167 L(x,y,K(y,z)) != u | u = x. [para(4164(a,1),49(a,1)),flip(a)]. 4169 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1055,a,4108,a),flip(a)]. 4172 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(605,a,4149,a)]. 4173 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(9(a,1),4172(a,1,2,2))]. 4174 T(x,(x / y) \ 1) = T(x,x \ y). [para(77(a,1),4172(a,1,2,2)),flip(a)]. 4175 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4172(a,1),197(a,1,2))]. 4176 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4172(a,1),236(a,1,2))]. 4178 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4172(a,1),3940(a,1,1)),flip(a)]. 4179 (x / y) \ T(x,x \ y) = x * (y / x). [para(4174(a,1),3966(a,1,2))]. 4180 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(77(a,1),4175(a,1,2,2))]. 4181 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3127(a,1),4176(a,1,2))]. 4183 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4179(a,1),1579(a,1,1,2,1))]. 4184 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(394,a,4173,a),flip(a)]. 4185 x / T(y * x,y \ 1) = (y * x) \ x. [para(4173(a,1),236(a,1,2))]. 4186 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(62,a,3127,a(flip),b,4184,a)]. 4187 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(77(a,1),4184(a,1,2))]. 4188 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [hyper(131,a,4186,a(flip))]. 4189 (((1 / x) * (x * y)) \ (x * y)) \ (x * y) = (1 / x) * (y * x). [hyper(62,a,833,a(flip),b,4187,a),flip(a)]. 4190 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [hyper(212,a,4188,a,b,10,a)]. 4192 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4172(a,1),4111(a,1,1))]. 4193 T(x,y \ 1) \ z != x \ (y \ x) | y \ T(x,y \ 1) = z. [para(4192(a,1),46(a,1)),flip(a)]. 4194 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2719(a,1),4192(a,2,2))]. 4195 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(62,a,3910,a(flip),b,4169,a)]. 4196 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4169(a,1),3929(a,1,1)),flip(a)]. 4197 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(62,a,4178,a(flip),b,4195,a)]. 4198 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(273,a,1221,a,b,4197,a)]. 4199 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(273,a,1150,a,b,4197,a)]. 4200 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(273,a,877,a(flip),b,4197,a),flip(a)]. 4202 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(4197(a,2),453(a,1,1))]. 4203 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4197(a,2),1563(a,1,1))]. 4204 K(x \ (x / y),x) != z \ x | T(x,y \ 1) = z. [para(4198(a,2),47(a,1))]. 4205 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4198(a,2),3189(a,1,1))]. 4206 T(x,y) \ x = y \ T(y,x). [para(3127(a,1),4200(a,1,1))]. 4207 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(273,a,3910,a(flip),b,4206,a),flip(a)]. 4209 T(x,T(y,x)) = T(x,y). [hyper(38,a,3919,a,b,4206,a)]. 4210 (x * y) / x = y * (T(y,x) \ y). [para(4206(a,2),3904(a,1,2)),flip(a)]. 4211 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4206(a,2),4034(a,1,2,1))]. 4212 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4206(a,2),4038(a,1,1)),flip(a)]. 4213 K(x,y) = T(x \ T(x,y),y * x). [para(4206(a,1),4127(a,2,1))]. 4214 x * (T(x,y) \ y) = T(y,x). [hyper(4155,a,4209,a)]. 4215 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(557,a,4209,a),flip(a)]. 4216 T((T(x,y) * y) / T(x,y),x) = y. [hyper(425,a,4209,a)]. 4217 T(x,x \ y) \ y = T(x \ y,x). [hyper(396,a,4209,a)]. 4218 T(x,y) \ (x * y) = T(y,x). [hyper(395,a,4209,a)]. 4219 R(T(x,x * y),y,x) = T(x,y). [hyper(62,a,4123,a,b,4209,a)]. 4220 (x / T(y,x)) * y = T(x,y). [hyper(62,a,4077,a,b,4209,a)]. 4221 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(62,a,4136,a(flip),b,4209,a),flip(a)]. 4222 T(x,y) / y = x / T(y,x). [hyper(116,a,4209,a(flip),b,4077,a)]. 4223 T(x,y) / (T(y,x) \ x) = y. [hyper(116,a,4209,a(flip),b,956,a)]. 4224 (x / T(y,x)) \ T(x,y) = y. [hyper(115,a,4209,a(flip),b,4077,a)]. 4225 T(x,y) \ y = x \ T(y,x). [hyper(115,a,4209,a(flip),b,956,a),flip(a)]. 4226 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4209(a,1),23(a,1,1)),flip(a)]. 4227 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(23(a,1),4209(a,1,2))]. 4228 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(25(a,2),4209(a,1,2))]. 4229 x * T(y,T(x,y)) = y * x. [para(4209(a,2),108(a,1,2))]. 4230 T(x,y / x) = T(x,x \ y). [para(110(a,1),4209(a,1,2)),flip(a)]. 4231 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4209(a,1),209(a,1,2,1))]. 4232 (x * y) / T(y,x) = T(x,y). [para(4209(a,1),240(a,1,2))]. 4233 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4209(a,1),210(a,1,2,1))]. 4234 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4209(a,1),211(a,1,2,1))]. 4235 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(647(a,1),4209(a,1,2))]. 4236 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(4209(a,1),586(a,1,2,1,1))]. 4237 T(x * (T(x,y) \ x),y) = x. [para(4209(a,1),3935(a,1,1,2,1))]. 4238 T(x,y) * T(y,x) = x * y. [para(4209(a,1),4081(a,1,1))]. 4239 T(x,y) * (y * x) = x * (x * y). [para(4209(a,1),4082(a,1,1))]. 4240 K(T(x,y),T(y,x)) = K(x,y). [para(4209(a,1),4120(a,1,1))]. 4244 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [para(4214(a,1),2769(a,1,2))]. 4245 T(x,y) = (x \ (y * x)) \ (y * x). [para(22(a,1),4218(a,1,1)),flip(a)]. 4247 T(x / T(y,x),y) = y \ T(x,y). [hyper(212,a,4220,a,b,10,a)]. 4248 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(116,a,4209,a(flip),b,4220,a)]. 4249 T(x,y) = (x * (x * y)) / (y * x). [hyper(62,a,1508,a,b,4220,a),flip(a)]. 4250 (T(x,y) / y) \ x = T(y,x). [hyper(171,a,4222,a(flip))]. 4251 (x / T(y,x)) * y != z | T(x,y) = z. [para(4222(a,1),222(a,1,1))]. 4252 T(x * (y / x),x) = x * (y / T(x,y)). [para(4222(a,1),1520(a,2,2))]. 4254 T(x,y) * (x \ T(y,x)) = y. [para(4223(a,1),174(a,1,2,1))]. 4256 (x / T(T(y,x),z)) \ T(x,T(y,z)) = T(y,z). [para(23(a,1),4224(a,1,1,2))]. 4257 T(x / T(y,x),z) * T(y,x) = T(y,x) * T(y \ T(x,y),z). [para(4225(a,1),417(a,2,2,1))]. 4258 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4225(a,1),84(a,1,1,2,1))]. 4259 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4225(a,2),1516(a,2,1))]. 4260 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4225(a,1),2027(a,1,2,1))]. 4261 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4225(a,1),1706(a,1,2,1))]. 4262 T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = x * T(T(y,x) / x,z). [para(4225(a,2),4095(a,1,1,2,1))]. 4263 L(R(x,y,x),y,x) = x. [hyper(34,a,4125,a,b,4229,a(flip))]. 4264 (x / y) * T(y,y \ x) = y * (x / y). [para(110(a,1),4229(a,1,2,2))]. 4265 R(x,y,T(x,y)) = R(x,y,x). [hyper(40,a,999,a,b,4263,a)]. 4266 x \ T(y * x,y) = R(y,x,y). [hyper(40,a,439,a,b,4263,a)]. 4267 T(x,y / x) = (x \ y) \ y. [hyper(273,a,109,a(flip),b,4230,a),flip(a)]. 4268 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(62,a,720,a,b,4230,a)]. 4269 (x * (y / x)) / T(x,x \ y) = y / x. [para(4230(a,1),170(a,1,2))]. 4272 (x * (y / x)) * x = y * T(x,x \ y). [para(4230(a,1),839(a,2,2))]. 4273 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(4230(a,2),3971(a,1,2,1))]. 4274 T(x,T(y,x / y)) = T(x,y). [para(4230(a,2),4085(a,1,2))]. 4275 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(27(a,2),4232(a,1,2))]. 4276 T(T(x,y),T(y,x)) = T(y,x) \ (x * y). [para(4232(a,1),110(a,1,1))]. 4277 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4232(a,1),1464(a,1,1)),flip(a)]. 4278 T(x / (x / y),y \ x) = y. [para(3941(a,2),4237(a,1,1))]. 4279 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4238(a,1),14(a,2,1,2)),flip(a)]. 4280 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4238(a,1),14(a,2,2,1)),flip(a)]. 4281 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4238(a,1),18(a,2,1)),flip(a)]. 4284 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(4238(a,1),96(a,2,1))]. 4285 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4238(a,1),104(a,1,2))]. 4286 (T(x,y) / y) \ ((x / T(y,x)) * z) = z. [para(4250(a,1),295(a,1,2,1,2))]. 4288 x * R(y,x,y) = T(y * x,y). [para(4265(a,1),997(a,1,2))]. 4289 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4209(a,1),4265(a,1,3))]. 4292 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4267(a,1),839(a,2,2))]. 4293 T(x * y,T(y,x)) = T(x * y,y). [para(11(a,1),4274(a,1,2,2))]. 4294 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(245,a,4278,a)]. 4295 T(T(x / (x / y),z),y \ x) = T(y,z). [para(4278(a,1),23(a,1,1)),flip(a)]. 4296 T(x / (x / (x / y)),y) = x / y. [para(77(a,1),4278(a,1,2))]. 4297 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4278(a,1),108(a,1,2)),flip(a)]. 4299 T(x,x * (y / x)) = T(x,y). [hyper(722,a,4219,a),flip(a)]. 4300 T(x,y * x) = T(x,x * y). [hyper(719,a,4219,a)]. 4302 R(T(x,y),x \ y,x) = T(x,x \ y). [para(10(a,1),4219(a,1,1,2))]. 4303 T(x,y * z) != T(y,z) | R(y,z,y) = x. [para(4219(a,1),136(a,2))]. 4304 T(x,(x \ y) * x) = T(x,y). [para(73(a,1),4299(a,1,2)),flip(a)]. 4305 T(x,x * T(y / x,z)) = T(x,x * T(x \ y,z)). [para(420(a,1),4299(a,1,2,2))]. 4308 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4299(a,1),4254(a,1,1))]. 4309 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(62,a,27,a,b,4300,a)]. 4310 T(x,x * (1 / y)) = T(x,y \ x). [hyper(62,a,4103,a(flip),b,4300,a),flip(a)]. 4311 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4300(a,1),23(a,1,1))]. 4312 T(x,y * z) != T(y,z * y) | y = x. [para(4300(a,2),48(a,1)),flip(a)]. 4313 x * T(y,x * y) = L(y,x,y) * x. [para(4300(a,2),650(a,1,2))]. 4314 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4300(a,2),655(a,1,2,1))]. 4316 K(x,T(y,x * y)) = K(x,y). [para(4300(a,2),4158(a,1,2))]. 4317 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(4304(a,1),108(a,1,2))]. 4318 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(4304(a,1),1437(a,2,2))]. 4319 K(x,T(x \ y,y)) = K(x,x \ y). [para(10(a,1),4316(a,1,2,2))]. 4320 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(10(a,1),4266(a,1,2,1)),flip(a)]. 4322 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4266(a,1),96(a,1,1)),flip(a)]. 4323 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4288(a,1),288(a,1,2))]. 4324 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4288(a,1),1417(a,1,1))]. 4325 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4288(a,1),2465(a,2,1))]. 4328 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4210(a,2),4139(a,1,2)),flip(a)]. 4329 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(273,a,3977,a(flip),b,4213,a)]. 4330 x / T(y \ x,y) = (y \ x) \ x. [hyper(176,a,4215,a(flip))]. 4331 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4215(a,1),685(a,1,1))]. 4332 T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. [para(4186(a,2),4215(a,2,1))]. 4333 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [para(4187(a,2),4215(a,2,1))]. 4334 T(x,y) != z | (T(y,z) * z) / T(y,z) = x. [para(4216(a,1),48(a,1)),flip(a)]. 4335 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(273,a,4141,a(flip),b,4217,a),flip(a)]. 4336 T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. [para(2786(a,1),4217(a,1,1)),flip(a)]. 4337 T(x,(1 / x) * y) = T(x,x \ y). [hyper(62,a,2741,a,b,4221,a)]. 4338 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4221(a,1),4006(a,2,1,2))]. 4339 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(25(a,2),4226(a,1,2))]. 4341 T(x,T(T(y,x),z \ T(y,x))) = T(x,T(y,T(y,x) * (z \ 1))). [para(1678(a,1),4227(a,1,2))]. 4342 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(4239(a,1),841(a,1,1))]. 4343 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(4239(a,1),1280(a,2,2,1)),flip(a)]. 4344 (x * (y / x)) / x = y / (y / (y / x)). [hyper(245,a,4296,a)]. 4347 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4296(a,1),692(a,1,1))]. 4348 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(10(a,1),4337(a,1,2)),flip(a)]. 4349 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [para(4348(a,1),197(a,1,2))]. 4350 T(x,T(y,x)) != z | T(x,y) = z. [para(4077(a,1),4251(a,1))]. 4351 ((x * (y / x)) / T(x,y)) * x != z | T(x * (y / x),x) = z. [para(4299(a,1),4251(a,1,1,2))]. 4352 T(x,T(T(y,x),z)) != u | T(x,T(y,z)) = u. [para(23(a,1),4350(a,1,2))]. 4353 T(x,x \ y) != z | T(x,y / x) = z. [para(110(a,1),4350(a,1,2))]. 4354 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(1484,a,4313,a)]. 4356 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1482,a,4313,a)]. 4357 L(x,y,(y * x) / y) = L(x,y,x). [hyper(860,a,4313,a)]. 4358 T((x * y) / x,x * y) = L(y,x,y). [hyper(427,a,4313,a)]. 4359 T(L(x,y,x) * y,x) = y * x. [para(4313(a,1),1435(a,1,1))]. 4360 T(x / T(y,x),z) * T(y,y * T(T(y,x) \ x,z)) = L(y,T(x / T(y,x),z),y) * T(x / T(y,x),z). [para(4104(a,1),4313(a,1,2,2))]. 4361 T(x,L(x,y,x) * y) = T(x,y * x). [para(4359(a,1),4209(a,1,2)),flip(a)]. 4362 (x \ y) \ y != z | T(x,y / x) = z. [para(109(a,1),4353(a,1))]. 4363 T((x * y) / x,L(x,y,x)) = y. [hyper(1283,a,4354,a)]. 4364 T(x,L(y,x,y)) = T(x,y). [para(4363(a,1),244(a,1,1)),flip(a)]. 4365 T(x,T(y,y * x)) = T(x,y). [hyper(62,a,4235,a,b,4364,a)]. 4366 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4364(a,1),108(a,1,2))]. 4368 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4365(a,1),210(a,1,2,1))]. 4369 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4365(a,1),211(a,1,2,1))]. 4372 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = (x * (x * T(T(x,y) \ y,z))) / x. [para(4104(a,1),4356(a,1,1,2)),flip(a)]. 4373 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(273,a,4300,a(flip),b,4361,a),flip(a)]. 4374 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(656(a,1),4361(a,1,2))]. 4375 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4373(a,1),1485(a,1,1))]. 4376 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(74(a,1),4205(a,1,1,1,2)),flip(a)]. 4377 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(62,a,4129,a(flip),b,4207,a)]. 4378 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(33,a,1004,a,b,4211,a),flip(a)]. 4379 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(273,a,4138,a,b,4212,a)]. 4380 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4259(a,2),4249(a,2,2)),flip(a)]. 4381 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4222(a,1),4264(a,1,1))]. 4382 (x * T(y,y \ x)) / y = y * (x / y). [hyper(128,a,4272,a)]. 4383 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(116,a,4272,a(flip),b,1433,a)]. 4384 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(62,a,4226,a(flip),b,4276,a),flip(a)]. 4385 (x * y) / T(T(x,y),y) = T(y,x). [hyper(176,a,4384,a)]. 4386 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(25(a,2),4384(a,1,1))]. 4388 (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. [para(4292(a,1),264(a,1,1))]. 4391 T(x / (x / y),x) = L(y,y \ x,y). [para(4294(a,1),660(a,1,1))]. 4392 T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). [para(4391(a,1),23(a,1,1)),flip(a)]. 4393 R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). [para(4391(a,2),29(a,1,1))]. 4394 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(74(a,1),4391(a,1,1,2)),flip(a)]. 4395 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4391(a,2),437(a,1,2))]. 4396 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(62,a,1554,a,b,4297,a)]. 4397 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(424,a,4311,a),flip(a)]. 4399 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4344(a,1),794(a,1,1))]. 4400 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4366(a,1),43(a,1)),flip(a)]. 4401 K(x \ y,x) \ x = x * K(x,y / x). [hyper(62,a,3956,a(flip),b,4376,a),flip(a)]. 4402 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(592(a,1),4382(a,1,1,2))]. 4403 ((x \ y) * x) * (y / x) = y * (x \ y). [hyper(129,a,4396,a)]. 4404 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4397(a,2),424(a,1))]. 4405 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3622,a,4401,a)]. 4406 K(x,(x * y) / x) = K(y,x) \ 1. [para(9(a,1),4405(a,1,1,1)),flip(a)]. 4407 K(T(x,y),y) \ 1 = K(y,x). [para(199(a,1),4406(a,1,2)),flip(a)]. 4411 K(T(x,y),y) * K(y,x) = 1. [hyper(131,a,4407,a)]. 4412 R(x,K(x,y),z) = x. [para(4407(a,1),4051(a,1,2))]. 4414 R(T(x,y),K(x,z),u) = T(x,y). [para(4412(a,1),27(a,2,1))]. 4415 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4412(a,1),475(a,1,1,1)),flip(a)]. 4416 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4412(a,1),476(a,1,1,1)),flip(a)]. 4418 (x * K(x,y)) * y = x * (y * K(x,y)). [para(4412(a,1),3229(a,1,1)),flip(a)]. 4419 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4411(a,1),288(a,1,2))]. 4420 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4414(a,1),476(a,1,1,1)),flip(a)]. 4421 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(77(a,1),4403(a,1,1,1))]. 4423 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(62,a,4165,a(flip),b,4418,a)]. 4424 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(4423(a,1),369(a,1,2))]. 4426 (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,T(y,x) * (z \ 1))) = T(y,T(y,x) * (z \ 1)). [para(1678(a,1),4256(a,1,1,2))]. 4427 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(273,a,4304,a(flip),b,4374,a),flip(a)]. 4428 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4427(a,1),1477(a,1,1))]. 4429 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(273,a,1228,a(flip),b,4378,a)]. 4430 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(62,a,1170,a,b,4379,a)]. 4434 T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). [hyper(273,a,25,a,b,4392,a),flip(a)]. 4435 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(273,a,3931,a(flip),b,4196,a),flip(a)]. 4436 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4350,a,4435,a),flip(a)]. 4437 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4350,a,4436,a),flip(a)]. 4438 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4436(a,1),4350(a,1))]. 4439 T(x,y / (z * y)) = T(x,z \ 1). [para(9(a,1),4437(a,1,2,1))]. 4440 T(x,(y / z) \ 1) = T(x,z / y). [para(77(a,1),4437(a,1,2,1)),flip(a)]. 4447 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4440(a,1),4009(a,1,1,2))]. 4448 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(77(a,1),4438(a,1,2,1))]. 4449 T(T(x,y \ 1) \ x,z) = T(x,T(y,z) \ 1) \ x. [hyper(273,a,4198,a(flip),b,4203,a),flip(a)]. 4450 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(645(a,1),4233(a,1,2))]. 4451 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(273,a,4366,a(flip),b,4450,a),flip(a)]. 4453 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4300(a,2),4451(a,1,2))]. 4454 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(62,a,657,a,b,4453,a)]. 4456 L(x,T(y,x),x) = L(x,y,x). [hyper(4400,a,4454,a),flip(a)]. 4457 L(x,y / x,x) = L(x,x \ y,x). [para(110(a,1),4456(a,1,2)),flip(a)]. 4458 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4234(a,1),203(a,1,1,2))]. 4459 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4219(a,1),4234(a,1,2)),flip(a)]. 4460 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4268(a,1),4234(a,1,2)),flip(a)]. 4461 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4302(a,1),4234(a,1,2)),flip(a)]. 4462 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(T(y,x) / x,z)). [para(4225(a,2),4305(a,2,2,2,1)),flip(a)]. 4463 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1521(a,1),4308(a,1,2))]. 4464 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4222(a,1),4463(a,1,2))]. 4465 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4464(a,1),42(a,1)),flip(a)]. 4466 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4221(a,1),4329(a,1,2,2,1))]. 4467 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(131,a,4466,a),flip(a)]. 4468 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3979,a,4467,a)]. 4469 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(62,a,3994,a,b,4468,a)]. 4470 (x \ y) * K(y,x \ 1) = y * ((x \ y) / y). [para(4468(a,1),261(a,1,2))]. 4471 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(273,a,3635,a(flip),b,4469,a),flip(a)]. 4472 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(62,a,3717,a,b,4471,a)]. 4473 K((x \ 1) * y,x) = K(x \ y,x). [para(9(a,1),4471(a,1,1,2)),flip(a)]. 4474 K((1 / x) * y,x) = K(x \ y,x). [para(9(a,1),4472(a,1,1,2)),flip(a)]. 4475 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [hyper(62,a,3721,a(flip),b,4474,a),flip(a)]. 4476 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(22(a,2),4474(a,2,1))]. 4477 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(74(a,1),4474(a,1,1,1)),flip(a)]. 4478 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(830(a,1),4476(a,1,1))]. 4479 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(4470(a,2),42(a,1))]. 4480 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(62,a,3719,a(flip),b,4478,a)]. 4481 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4480(a,1),4407(a,1,1))]. 4482 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4419,a,4481,a),flip(a)]. 4483 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(62,a,3496,a(flip),b,4482,a),flip(a)]. 4484 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(10(a,1),4482(a,1,2)),flip(a)]. 4485 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2815(a,2),4482(a,1,2,1)),flip(a)]. 4486 K(x * y,T(y,x)) = K(y * x,y). [hyper(294,a,4342,a),flip(a)]. 4487 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(4342(a,1),294(a,1))]. 4488 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(62,a,4396,a(flip),b,4402,a),flip(a)]. 4489 (x * (y / x)) * (y / (y / x)) = y * x. [para(77(a,1),4421(a,2,2))]. 4490 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(11(a,1),4489(a,1,1,2))]. 4491 T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. [hyper(273,a,3983,a(flip),b,4449,a),flip(a)]. 4492 (x * y) * ((y * x) / y) = (y * x) * x. [para(11(a,1),4490(a,1,2,2))]. 4493 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(524,a,4492,a)]. 4494 ((x \ y) * x) * x = y * (y / (y / x)). [para(4294(a,1),4493(a,1,2)),flip(a)]. 4495 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4225(a,1),4494(a,1,1,1))]. 4496 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1974(a,1),4275(a,1,2,1))]. 4497 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4314(a,1),1960(a,1,1))]. 4498 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(273,a,4324,a(flip),b,4459,a),flip(a)]. 4499 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4498(a,1),4322(a,1,2))]. 4500 R(x,y / x,x) = R(x,x \ y,x). [hyper(34,a,4460,a,b,4461,a)]. 4502 R(x,(x * y) / x,x) = R(x,y,x). [para(9(a,1),4500(a,2,2))]. 4503 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(4500(a,1),470(a,1,1))]. 4504 R(x,T(y,x),x) = R(x,y,x). [para(199(a,1),4502(a,1,2)),flip(a)]. 4505 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(62,a,4289,a,b,4504,a)]. 4506 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(4505(a,1),27(a,2,1))]. 4507 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4505(a,1),31(a,1,1)),flip(a)]. 4509 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(273,a,27,a,b,4506,a),flip(a)]. 4510 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(4509(a,1),27(a,2,1))]. 4512 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3152(a,1),4415(a,1,1))]. 4515 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(62,a,1666,a(flip),b,4429,a),flip(a)]. 4516 T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). [para(3127(a,1),4491(a,1,1,1)),flip(a)]. 4517 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). [hyper(176,a,4516,a)]. 4518 T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). [hyper(62,a,3323,a(flip),b,4517,a)]. 4519 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. [para(707(a,1),4518(a,1,1,1,1)),flip(a)]. 4520 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(273,a,27,a,b,4510,a),flip(a)]. 4521 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4507(a,1),4285(a,1,1)),flip(a)]. 4522 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(273,a,629,a(flip),b,4347,a),flip(a)]. 4523 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4344(a,2),4522(a,1,2))]. 4524 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(11(a,1),4447(a,1,1,2,2))]. 4525 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(62,a,3237,a(flip),b,4524,a),flip(a)]. 4526 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4525(a,1),3922(a,1,1))]. 4527 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3934,a,4526,a)]. 4528 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(80(a,1),4526(a,1,2))]. 4530 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(109(a,1),4528(a,1,1,2))]. 4531 x / ((y \ x) * y) = y \ ((y \ x) \ x). [hyper(176,a,4530,a)]. 4532 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(273,a,4148,a,b,4531,a)]. 4534 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(273,a,226,a(flip),b,4527,a),flip(a)]. 4535 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(199(a,1),4527(a,1,3)),flip(a)]. 4536 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [para(199(a,1),4534(a,1,3)),flip(a)]. 4537 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3975(a,1),4534(a,1,3))]. 4538 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(273,a,456,a(flip),b,4537,a),flip(a)]. 4539 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(4538(a,1),3338(a,1,2,2,1,2))]. 4540 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4038(a,1),4053(a,2,2))]. 4541 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3068(a,1),4054(a,1,2))]. 4542 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(62,a,3560,a(flip),b,4541,a),flip(a)]. 4543 (L(x,y,1 / y) \ (y * x)) \ (y * x) = (1 / y) * (x * y). [para(228(a,1),4189(a,1,1,1))]. 4544 T(L(x,y,1 / y),(y * x) / L(x,y,1 / y)) = (1 / y) * (x * y). [hyper(4362,a,4543,a)]. 4545 T(T(x,y) \ y,z) = T(x \ T(y,x),z). [hyper(623,a,4257,a)]. 4546 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(273,a,4231,a(flip),b,4277,a),flip(a)]. 4547 K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). [para(4333(a,1),3655(a,1,2)),flip(a)]. 4548 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(273,a,4112,a(flip),b,4338,a),flip(a)]. 4549 T(x,T(y,T(y,x) * (z \ 1))) = T(x,T(y,z \ T(y,x))). [hyper(4352,a,4341,a),flip(a)]. 4550 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(62,a,2453,a(flip),b,4383,a),flip(a)]. 4551 x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. [para(4495(a,1),43(a,1)),flip(a)]. 4552 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(413(a,1),4539(a,1,2)),flip(a)]. 4554 R(K(x,y),T(y,z),u) = K(x,y). [hyper(478,a,4552,a)]. 4555 L(x,T(y,z),K(u,y)) = x. [hyper(450,a,4552,a)]. 4556 L(x,y,K(z,y)) = x. [para(107(a,1),4555(a,1,2))]. 4557 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(1095,a,4556,a),flip(a)]. 4558 a(K(x,y),y,z) = 1. [hyper(52,a,4556,a)]. 4559 L(x,y,T(y,z) \ y) = x. [para(3193(a,1),4556(a,1,3))]. 4560 (K(x,y) * (y * z)) * 1 = (y * K(x,y)) * z. [para(4558(a,1),3230(a,1,2))]. 4561 L(x,T(y,z) \ y,y) = y * (y \ x). [para(4559(a,1),4005(a,1,2)),flip(a)]. 4562 R(K(x,y),y,z) = K(x,y). [para(107(a,1),4554(a,1,2))]. 4563 L(x,T(y,z) \ y,y) = x. [hyper(273,a,10,a(flip),b,4561,a),flip(a)]. 4567 L(x,K(y,z),z) = x. [para(4199(a,2),4563(a,1,2))]. 4568 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(1095,a,4567,a),flip(a)]. 4569 L(x,K(y,z),z) != u | x = u. [para(4567(a,1),49(a,2))]. 4572 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3204(a,1),4557(a,1,1))]. 4573 R(x,K(y,x),z) = x. [hyper(478,a,4568,a)]. 4574 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4568(a,1),18(a,2,1)),flip(a)]. 4575 R(T(x,y),K(z,x),u) = T(x,y). [para(4573(a,1),27(a,2,1))]. 4576 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4573(a,1),474(a,1,1,1)),flip(a)]. 4579 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(273,a,3974,a(flip),b,4575,a),flip(a)]. 4581 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(527,a,4572,a)]. 4582 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(273,a,144,a(flip),b,4572,a),flip(a)]. 4583 (x * K(y,x)) \ z = x \ (K(y,x) \ z). [hyper(115,a,70,a(flip),b,4572,a)]. 4584 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(62,a,4568,a(flip),b,4572,a),flip(a)]. 4585 (x * (K(y,x) * z)) / (x * z) = K(y,x). [hyper(116,a,4568,a(flip),b,4572,a(flip))]. 4587 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(62,a,4568,a(flip),b,4582,a)]. 4590 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4584(a,1),104(a,2,1))]. 4591 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4584(a,1),287(a,1))]. 4593 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4584(a,1),444(a,1,1))]. 4594 K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. [para(4585(a,1),222(a,1,1))]. 4595 K(x,y) * (y * z) != u * w | u \ (y * (K(x,y) * z)) = w. [para(4585(a,1),283(a,1,1))]. 4598 (x * K(y,x)) * z != u | K(y,x) * (x * z) = u. [para(4560(a,1),125(a,1))]. 4601 L(x,K(y,z),T(z,u)) = x. [hyper(450,a,4576,a)]. 4602 L(x,K(y,z),T(z,u)) != w | x = w. [para(4601(a,1),49(a,2))]. 4603 T(x,y * K(x,y)) = T(x,y). [hyper(4424,a,4581,a),flip(a)]. 4604 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(4603(a,1),4497(a,2,2))]. 4605 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3974(a,1),4579(a,1,1))]. 4606 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(62,a,3335,a(flip),b,4605,a)]. 4608 (K(x,y) \ y) * (K(x,y) * z) = y * z. [hyper(129,a,4606,a)]. 4609 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(4151,a,4608,a)]. 4612 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(122,a,4609,a)]. 4617 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(4351,a,4550,a),flip(a)]. 4618 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(273,a,1520,a(flip),b,4617,a),flip(a)]. 4619 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(33,a,4381,a,b,4618,a)]. 4621 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4619(a,1),236(a,1,2))]. 4622 T(x,T(x,y) \ y) = T(x,x \ y). [para(4225(a,2),4619(a,1,2))]. 4623 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(9(a,1),4621(a,1,2,2))]. 4624 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [hyper(273,a,4457,a(flip),b,4096,a),flip(a)]. 4625 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4525(a,1),4150(a,1,1))]. 4626 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4153,a,4625,a),flip(a)]. 4627 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4057,a,4625,a),flip(a)]. 4629 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4625(a,1),4153(a,1))]. 4631 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(62,a,4515,a(flip),b,4626,a),flip(a)]. 4632 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(62,a,4378,a(flip),b,4626,a)]. 4636 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(115,a,10,a(flip),b,4627,a)]. 4637 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(62,a,4212,a,b,4627,a)]. 4638 ((x * y) / x) \ (T(x,y) * y) = T(x,y). [hyper(212,a,4627,a(flip),b,4138,a),flip(a)]. 4639 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(115,a,4627,a(flip),b,4138,a),flip(a)]. 4641 T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). [para(4627(a,1),4041(a,1,2)),flip(a)]. 4642 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4627(a,1),4211(a,1,2)),flip(a)]. 4644 ((x * y) / x) * T(x,y) = T(x,y) * y. [hyper(131,a,4638,a)]. 4645 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4642(a,1),4281(a,1,2))]. 4646 x \ ((x * y) * T(x,y)) = T(T(x,y) * y,x). [para(4644(a,1),1463(a,1,1)),flip(a)]. 4647 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(888,a,4632,a)]. 4648 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(62,a,4071,a(flip),b,4639,a),flip(a)]. 4649 T(T(x,y) * y,x) / (x \ (x * y)) = R(x,y,y \ (x * y)). [para(4646(a,1),1084(a,1,1))]. 4650 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(453,a,4645,a),flip(a)]. 4651 L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. [para(4645(a,1),453(a,1))]. 4652 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(62,a,4284,a(flip),b,4650,a)]. 4653 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(110(a,1),4650(a,1,2))]. 4654 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4230(a,1),4653(a,1,3))]. 4655 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(682,a,4648,a),flip(a)]. 4656 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(8(a,1),4652(a,1,2)),flip(a)]. 4657 T(T(x,y) * y,x) / y = R(x,y,y \ (x * y)). [para(9(a,1),4649(a,1,2))]. 4658 T(T(x,y) * y,x) / y = R(x,y,T(x,y)). [para(22(a,2),4657(a,2,3))]. 4659 R(x,y,T(x,y)) * y = T(T(x,y) * y,x). [hyper(129,a,4658,a)]. 4660 T(T(x,y) * y,x) = R(x,y,x) * y. [para(4265(a,1),4659(a,1,1)),flip(a)]. 4661 R(x,T(x \ y,z),x) * T(x \ y,z) = T(x * T(y / x,z),x). [para(4095(a,1),4660(a,1,1)),flip(a)]. 4666 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4642(a,1),4280(a,1,1))]. 4667 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(636,a,4666,a),flip(a)]. 4668 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4666(a,1),636(a,1))]. 4669 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(273,a,476,a(flip),b,4521,a),flip(a)]. 4670 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1080(a,1),4669(a,1,1))]. 4671 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(62,a,4324,a(flip),b,4670,a),flip(a)]. 4673 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4671(a,1),328(a,1,2))]. 4674 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(9(a,1),4624(a,2,2))]. 4675 L(x,y,T(x,y)) = L(x,y,x). [hyper(62,a,4343,a(flip),b,4674,a)]. 4676 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(273,a,4263,a(flip),b,4152,a),flip(a)]. 4678 T(x,x \ T(x * y,y)) = T(x,y). [para(4676(a,1),4087(a,1,2)),flip(a)]. 4679 K(x,x \ T(x * y,y)) = K(x,y). [para(4676(a,1),4319(a,1,2)),flip(a)]. 4680 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4678(a,1),4335(a,1,1))]. 4681 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(62,a,4143,a,b,4679,a),flip(a)]. 4682 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(22(a,1),4680(a,1,1))]. 4683 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4288(a,1),4681(a,2,1))]. 4684 K(x \ T(x * y,x),x) = K(y,x). [hyper(273,a,1525,a(flip),b,4683,a)]. 4685 K(x \ T(y,x),x) = K(x \ y,x). [para(10(a,1),4684(a,1,1,2,1))]. 4686 K(T(x \ T(y,x),z),x) = K(T(x \ y,z),x). [para(1514(a,1),4684(a,1,1))]. 4687 K(T(x,y) \ y,x) = K(x \ y,x). [para(4225(a,2),4685(a,1,1))]. 4689 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(3127(a,1),4244(a,1,2))]. 4690 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(62,a,3040,a,b,4689,a)]. 4691 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4690(a,2),1217(a,2,2,1,2))]. 4692 T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). [hyper(62,a,3125,a(flip),b,4336,a),flip(a)]. 4693 T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. [para(77(a,1),4692(a,1,1,2)),flip(a)]. 4694 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4214(a,1),4380(a,1,1,2))]. 4695 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(108(a,1),4694(a,1,1))]. 4696 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(273,a,4622,a(flip),b,4695,a),flip(a)]. 4697 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4386(a,2),424(a,1))]. 4698 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3327(a,1),4542(a,1,1)),flip(a)]. 4699 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4698(a,1),3558(a,1,2))]. 4700 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4699(a,1),275(a,1,1)),flip(a)]. 4701 T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. [para(2938(a,1),4693(a,2,1))]. 4702 T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. [para(3694(a,1),4701(a,1,1))]. 4703 a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4702(a,1),4667(a,1,1))]. 4704 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4673,a,4499,a)]. 4705 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4568(a,1),4574(a,1,2))]. 4708 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(77(a,1),4523(a,2,1,2))]. 4709 x * (x * T(T(x,T(y,x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(22(a,2),4109(a,1,2,2,1,1,2))]. 4710 x * (x * T(T(x,y) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(4209(a,1),4709(a,1,2,2,1,1))]. 4711 x * (x * T(T(x,y) \ y,z)) = (x * T(x \ y,z)) * x. [para(11(a,1),4710(a,1,2,2,1,2))]. 4712 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(4202,a,4636,a),flip(a)]. 4713 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(62,a,4540,a(flip),b,4712,a)]. 4714 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4637(a,1),4713(a,1,2)),flip(a)]. 4715 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(273,a,226,a(flip),b,4714,a),flip(a)]. 4717 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(62,a,3820,a(flip),b,4715,a),flip(a)]. 4719 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4717(a,1),3602(a,2,2))]. 4720 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1039,a,4325,a),flip(a)]. 4721 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2989(a,1),4720(a,1,1)),flip(a)]. 4722 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(116,a,4721,a(flip),b,1032,a)]. 4724 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4584(a,1),4593(a,1,2))]. 4725 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(62,a,4705,a(flip),b,4724,a),flip(a)]. 4726 T(x,R(x * K(y,x),z,u)) = x. [hyper(332,a,4496,a)]. 4728 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(273,a,4700,a(flip),b,4719,a),flip(a)]. 4729 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(4013,a,4728,a)]. 4733 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(273,a,144,a(flip),b,4729,a),flip(a)]. 4735 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4733(a,1),2795(a,1,2))]. 4736 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4735(a,1),4015(a,1,2)),flip(a)]. 4738 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(273,a,3050,a(flip),b,4736,a),flip(a)]. 4742 R(x,K(y \ 1,y),z) = x. [para(10(a,1),4738(a,1,3))]. 4745 R(x,y,K(z \ 1,z)) = x. [hyper(62,a,3881,a(flip),b,4742,a)]. 4750 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(3814,a,4745,a),flip(a)]. 4752 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(62,a,3840,a(flip),b,4745,a)]. 4753 R(x,y,K(z \ 1,z)) != u | x = u. [para(4745(a,1),50(a,2))]. 4754 R(x,y,K(z,1 / z)) = x. [para(77(a,1),4745(a,1,3,1))]. 4755 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4745(a,1),104(a,1,1)),flip(a)]. 4756 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4745(a,1),392(a,1,1)),flip(a)]. 4757 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4745(a,1),466(a,1,1))]. 4758 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4745(a,1),477(a,1,1)),flip(a),flip(b)]. 4759 R(x,y,K(z,z \ 1)) = x. [para(1805(a,1),4745(a,1,3))]. 4760 R(x,y,K(1 / z,z)) = x. [para(1857(a,2),4745(a,1,3))]. 4761 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4745(a,1),3035(a,1,1))]. 4762 R(x,y,K(z,1 / z)) != u | u = x. [para(4754(a,1),50(a,1)),flip(a)]. 4763 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4754(a,1),104(a,1,1)),flip(a)]. 4764 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3579,a,4759,a)]. 4768 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4759(a,1),104(a,1,1)),flip(a)]. 4770 (x * y) * z != x * (y * K(u,u \ 1)) | K(u,u \ 1) = z. [para(4759(a,1),477(a,1,1)),flip(a),flip(b)]. 4772 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4759(a,1),3058(a,1,1))]. 4773 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4760(a,1),104(a,1,1)),flip(a)]. 4774 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4760(a,1),505(a,1,1))]. 4775 T(x,y * K(z,z \ 1)) = T(x,y). [para(1805(a,1),4750(a,1,2,2))]. 4776 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2316(a,1),4750(a,1,2))]. 4778 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2575(a,1),4750(a,1,2))]. 4779 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2576(a,1),4750(a,1,2)),flip(a)]. 4780 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2630(a,1),4750(a,1,2))]. 4783 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2994(a,1),4750(a,1,2)),flip(a)]. 4784 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3031(a,1),4750(a,1,2))]. 4785 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3033(a,1),4750(a,1,2))]. 4786 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3466(a,1),4750(a,1,2)),flip(a)]. 4789 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(74(a,1),4764(a,1,3)),flip(a)]. 4790 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(273,a,3678,a(flip),b,4775,a),flip(a)]. 4792 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2261(a,1),4775(a,1,2))]. 4793 T(x,y * (1 / (1 / (y \ z)))) = T(x,z). [para(2326(a,1),4775(a,1,2))]. 4795 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3051(a,1),4775(a,1,2))]. 4799 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4789(a,1),104(a,1,1))]. 4800 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4778(a,1),4631(a,1,2,1))]. 4801 T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. [hyper(273,a,4332,a(flip),b,4783,a),flip(a)]. 4802 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [hyper(62,a,4333,a(flip),b,4783,a),flip(a)]. 4803 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3465(a,1),4783(a,2,2))]. 4804 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(62,a,630,a(flip),b,4784,a),flip(a)]. 4806 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2815(a,2),4784(a,1,2,1))]. 4807 K((x \ 1) * y,x \ y) = 1. [hyper(54,a,4804,a)]. 4808 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2990,a,4756,a)]. 4811 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(273,a,3839,a,b,4752,a)]. 4812 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [hyper(273,a,3782,a(flip),b,4752,a),flip(a)]. 4813 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2988(a,2),4752(a,1,2))]. 4814 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4812(a,1),3678(a,1,2,1)),flip(a)]. 4815 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(3043,a,4755,a)]. 4816 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2990,a,4755,a)]. 4819 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4755(a,1),3039(a,1,1))]. 4820 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4755(a,1),3836(a,1,1))]. 4821 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4755(a,1),3845(a,1,1))]. 4822 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4755(a,1),4752(a,1,2))]. 4823 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(62,a,3780,a,b,4757,a)]. 4824 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(701(a,1),4757(a,1,2)),flip(a)]. 4825 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [para(1544(a,1),4757(a,1,2)),flip(a)]. 4826 K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). [hyper(2990,a,4824,a)]. 4827 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3869(a,1),4824(a,1,2))]. 4828 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4824(a,1),4750(a,1,2)),flip(a)]. 4829 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4828(a,1),236(a,1,2))]. 4830 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(34,a,3343,a,b,4825,a),flip(a)]. 4831 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4825(a,1),2573(a,1,1)),flip(a)]. 4832 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [para(4825(a,1),2627(a,1,1))]. 4833 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(273,a,267,a,b,4832,a),flip(a)]. 4834 x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). [para(146(a,2),4832(a,2,2,1)),flip(a)]. 4835 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(4833(a,1),3777(a,1,1)),flip(a)]. 4836 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(273,a,2988,a,b,4761,a),flip(a)]. 4837 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(62,a,3841,a,b,4763,a)]. 4838 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(62,a,3003,a,b,4763,a)]. 4840 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(450,a,4768,a)]. 4841 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(4768(a,1),4775(a,1,2))]. 4842 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(62,a,2907,a,b,4840,a)]. 4845 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2638(a,1),4841(a,1,2,2))]. 4847 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [para(1844(a,1),4772(a,1,2)),flip(a)]. 4848 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4847(a,1),3777(a,1,1)),flip(a)]. 4849 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2632(a,1),4811(a,2,2))]. 4850 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2575(a,1),4815(a,1,2,2))]. 4851 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2576(a,1),4815(a,1,2,2))]. 4852 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [para(2988(a,2),4815(a,1,2,2))]. 4853 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(3032(a,1),4815(a,1,2,2))]. 4854 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(3033(a,1),4815(a,1,2,2))]. 4855 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(273,a,3034,a,b,4816,a),flip(a)]. 4856 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(3252(a,1),4816(a,2,2))]. 4857 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(273,a,2988,a,b,4823,a),flip(a)]. 4858 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2755(a,1),4823(a,1,1)),flip(a)]. 4859 ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. [para(3053(a,1),4823(a,1,1)),flip(a)]. 4860 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4823(a,2),4750(a,1,2))]. 4861 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2746(a,1),4860(a,1,2,1)),flip(a)]. 4862 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(3052(a,1),4860(a,1,2,1))]. 4863 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(3056(a,1),4860(a,1,2,1))]. 4865 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(62,a,3851,a(flip),b,4836,a),flip(a)]. 4868 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4836(a,2),2999(a,1))]. 4870 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(62,a,3777,a,b,4853,a)]. 4871 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4853(a,2),14(a,2,2,1)),flip(a)]. 4875 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4853(a,1),4772(a,1,2))]. 4876 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4853(a,1),4823(a,1,1))]. 4879 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. [para(4855(a,2),453(a,1,2,2))]. 4880 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4855(a,1),4761(a,1,2))]. 4881 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2697(a,1),4857(a,1,1)),flip(a)]. 4882 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(3056(a,1),4857(a,1,1)),flip(a)]. 4883 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3887(a,1),4857(a,1,1)),flip(a)]. 4884 T(x,((y \ 1) * y) \ z) = T(x,z). [para(153(a,1),4863(a,1,2)),flip(a)]. 4885 L(x,K(y,y \ 1),z) = x. [hyper(450,a,4870,a)]. 4887 L(x,y * (1 / y),z) = x. [para(1804(a,1),4885(a,1,2))]. 4890 L(x,y * (1 / y),z) != u | u = x. [para(4887(a,1),49(a,1)),flip(a)]. 4891 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(62,a,4647,a,b,4800,a)]. 4892 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(131,a,4891,a),flip(a)]. 4893 T(x * y,z) / y = y \ T(y * x,z). [para(11(a,1),4891(a,1,2,1,2)),flip(a)]. 4896 T((x \ y) * x,z) / x = x \ T(y,z). [para(73(a,1),4891(a,1,2,1)),flip(a)]. 4897 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(4891(a,1),201(a,1,2,2))]. 4900 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(4073(a,2),4891(a,1,2,1))]. 4901 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(4464(a,1),4891(a,1,2,1))]. 4903 T(x * (y / x),y) = x * (y / x). [para(107(a,1),4892(a,2,2,1))]. 4904 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(74(a,1),4892(a,1,1,2)),flip(a)]. 4907 x * (T(R(y,x \ 1,x),z) / x) = T(x * (y * (1 / x)),z). [para(2577(a,1),4892(a,1,1,2)),flip(a)]. 4909 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4230(a,1),4892(a,2,2,1))]. 4911 T(x,y * (x / y)) = x. [hyper(53,a,4903,a)]. 4912 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4903(a,2),4532(a,1,1))]. 4913 T(T(x,y),z * (x / z)) = T(x,y). [para(4911(a,1),23(a,1,1)),flip(a)]. 4914 T((x \ y) * x,y) = (x \ y) * x. [para(73(a,1),4911(a,1,2))]. 4915 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(273,a,822,a,b,4893,a)]. 4916 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(129,a,4893,a)]. 4917 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(62,a,1646,a,b,4893,a)]. 4918 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4893(a,1),110(a,1,1))]. 4919 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4893(a,1),3986(a,1,2))]. 4920 T((x \ y) * x,z) = (x \ T(y,z)) * x. [hyper(129,a,4896,a),flip(a)]. 4921 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4896(a,1),110(a,1,1)),flip(a)]. 4922 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4896(a,1),222(a,1,1))]. 4930 T((x * (y \ 1)) * y,z) = (T(x,z) * (y \ 1)) * y. [para(874(a,1),4916(a,1,1)),flip(a)]. 4931 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4916(a,1),4304(a,1,2))]. 4933 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4920(a,2),43(a,1))]. 4934 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4920(a,1),108(a,1,2))]. 4936 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(110(a,1),4920(a,2,1,2))]. 4937 x * ((y \ T(z,x)) * y) != u | ((y \ z) * y) * x = u. [para(4920(a,1),252(a,1,2))]. 4938 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4920(a,2),88(a,1,1))]. 4940 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(110(a,1),4897(a,1,2,2,1)),flip(a)]. 4941 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(198(a,1),4897(a,1,2,2,1)),flip(a)]. 4942 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3989(a,1),4912(a,1,1,1)),flip(a)]. 4944 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(110(a,1),4934(a,1,2,1,2)),flip(a)]. 4945 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(245,a,4936,a)]. 4947 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(3231(a,1),4922(a,1,1,2))]. 4949 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4913(a,1),4901(a,1,1))]. 4950 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4904(a,1),288(a,1,2))]. 4951 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(273,a,4892,a,b,4909,a),flip(a)]. 4952 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1210(a,1),4915(a,2,1,1))]. 4953 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(252,a,4917,a),flip(a)]. 4955 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(116,a,4917,a(flip),b,1195,a),flip(a)]. 4956 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(4028,a,4940,a),flip(a)]. 4957 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(192(a,2),4940(a,2,2,2,1))]. 4958 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(62,a,3899,a,b,4944,a)]. 4960 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(193(a,2),4944(a,1,1,1,2))]. 4961 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(9(a,1),4945(a,1,1,2,1,2))]. 4962 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4945(a,1),222(a,1,1))]. 4963 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(4448,a,4951,a)]. 4964 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(62,a,4318,a(flip),b,4961,a),flip(a)]. 4965 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3121(a,1),4803(a,1,2))]. 4967 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4835(a,1),2778(a,1,2))]. 4969 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(62,a,2745,a(flip),b,4848,a)]. 4970 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4969(a,1),4011(a,1,1))]. 4971 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4970(a,1),42(a,1))]. 4972 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1810(a,1),4849(a,1,1)),flip(a)]. 4973 (x \ 1) * (y / (x \ 1)) != z | (1 / x) * (y / (1 / x)) = z. [para(4850(a,1),2803(a,1))]. 4974 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(109(a,1),4856(a,1,2,2))]. 4975 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(3043,a,4858,a)]. 4976 a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). [para(4859(a,1),4024(a,1,1)),flip(a)]. 4977 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(62,a,1584,a,b,4919,a)]. 4978 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4799(a,1),43(a,1))]. 4979 x * (R(T(y,z),x \ 1,x) / x) = T(x * (y * (1 / x)),z). [para(27(a,2),4907(a,1,2,1))]. 4980 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [para(2577(a,1),4979(a,1,2)),flip(a)]. 4981 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(74(a,1),4980(a,2,2,2))]. 4982 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3889(a,2),4790(a,1,2))]. 4983 K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). [para(4801(a,1),4547(a,1,2)),flip(a)]. 4984 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3866,a,4820,a),flip(a)]. 4985 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(116,a,4821,a(flip),b,104,a)]. 4986 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(2772,a,4822,a(flip))]. 4987 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(62,a,3033,a(flip),b,4827,a)]. 4988 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(273,a,3508,a(flip),b,4987,a),flip(a)]. 4989 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(636,a,4875,a),flip(a)]. 4991 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(18(a,2),4880(a,2,1))]. 4992 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. [para(4880(a,1),3119(a,1))]. 4993 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(4937,a,4967,a)]. 4994 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(109(a,1),4967(a,1,2,1,2))]. 4995 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(62,a,4970,a(flip),b,4993,a),flip(a)]. 4996 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4962,a,4977,a)]. 4997 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(74(a,1),4981(a,1,1,2,2))]. 4999 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(4997(a,2),42(a,1))]. 5000 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3782(a,1),4982(a,1,2,1))]. 5001 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(3019(a,1),4986(a,1,2,2)),flip(a)]. 5002 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(3007(a,1),5001(a,1,2))]. 5003 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4994(a,1),226(a,1,2)),flip(a)]. 5005 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4548(a,1),4942(a,1,2)),flip(a)]. 5006 ((x \ y) * x) / y = y / (x * (y / x)). [para(4914(a,1),5005(a,1,1))]. 5007 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(273,a,4377,a(flip),b,5006,a),flip(a)]. 5008 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(62,a,4995,a,b,5007,a)]. 5009 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4773(a,1),4774(a,1,2))]. 5010 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(5008(a,1),5003(a,2,2))]. 5011 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4773(a,1),5009(a,1,2,2))]. 5012 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(453,a,5011,a)]. 5013 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3857(a,1),4814(a,1,2,1)),flip(a)]. 5014 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(62,a,5000,a(flip),b,5013,a),flip(a)]. 5016 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(227(a,2),4955(a,2,1,2,1,2))]. 5017 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(62,a,4940,a(flip),b,4957,a),flip(a)]. 5018 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3892(a,2),4960(a,1,1))]. 5019 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(251,a,5018,a),flip(a)]. 5020 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(4879,a,4991,a)]. 5021 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(273,a,2988,a,b,5020,a),flip(a)]. 5022 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(2988(a,1),5020(a,1,1))]. 5023 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(3050(a,1),5021(a,1,1)),flip(a)]. 5025 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(3072,a,5023,a),flip(a)]. 5026 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2776,a,5023,a),flip(a)]. 5027 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(62,a,3062,a(flip),b,5023,a)]. 5029 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5027(a,1),73(a,1,2,1)),flip(a)]. 5030 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(73(a,1),5027(a,1,1,2,1)),flip(a)]. 5032 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5029(a,2),5017(a,1,2))]. 5033 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(5030(a,1),94(a,1,2))]. 5034 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(456(a,1),5030(a,2,1,2))]. 5035 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(457(a,1),5030(a,2,1,2))]. 5037 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1833(a,1),5025(a,1,1)),flip(a)]. 5038 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2307(a,1),5025(a,2,2))]. 5039 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5037(a,1),3822(a,1,1))]. 5040 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5037(a,1),3849(a,1,1)),flip(a)]. 5041 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(2547(a,1),5026(a,1,1)),flip(a)]. 5042 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(5026(a,2),4772(a,1,2))]. 5043 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(62,a,2147,a(flip),b,5041,a)]. 5044 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(109(a,1),5043(a,2,1))]. 5045 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(122,a,5044,a)]. 5046 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(62,a,1873,a,b,5045,a)]. 5047 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2187,a,5046,a)]. 5048 L(x,y,z) / x = x \ L(x,y,z). [hyper(128,a,5047,a)]. 5049 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(122,a,5047,a)]. 5052 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5049(a,1),419(a,1,2,1)),flip(a)]. 5053 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(62,a,1140,a(flip),b,5040,a)]. 5054 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(115,a,5052,a(flip),b,936,a)]. 5055 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(256(a,1),5033(a,1,2,1,2))]. 5056 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(115,a,5034,a(flip),b,226,a),flip(a)]. 5057 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(10(a,1),5034(a,2,1,2))]. 5058 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(62,a,4996,a(flip),b,5056,a)]. 5059 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(129,a,5058,a)]. 5060 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(62,a,5010,a(flip),b,5035,a),flip(a)]. 5061 x * (y \ (x / (x / y))) = (y \ x) * y. [para(152(a,1),5060(a,1,1,2)),flip(a)]. 5062 x \ (y / (y / x)) = K(x \ y,x). [hyper(33,a,260,a,b,5061,a),flip(a)]. 5063 x / (x / y) = y * K(y \ x,y). [hyper(131,a,5062,a),flip(a)]. 5064 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(62,a,5008,a,b,5062,a)]. 5065 ((x \ y) * x) / y = K(x \ y,x). [hyper(62,a,5007,a,b,5062,a)]. 5069 T(K(x \ y,x),y) = K(x \ y,x). [para(5062(a,1),4137(a,1,1))]. 5070 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(273,a,3465,a(flip),b,5063,a)]. 5071 (x * K(x \ y,x)) \ y = y / x. [hyper(171,a,5063,a)]. 5072 (x * K(x \ y,x)) * (y / x) = y. [hyper(129,a,5063,a)]. 5073 (x * y) / ((x * y) / x) = x * K(y,x). [para(9(a,1),5063(a,2,2,1))]. 5075 (x \ y) * K((x \ y) \ y,x \ y) = y / x. [para(74(a,1),5063(a,1,2)),flip(a)]. 5077 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(405(a,1),5063(a,2,2,1))]. 5079 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(5063(a,1),591(a,1,1,1))]. 5080 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(4222(a,2),5063(a,1,2)),flip(a)]. 5081 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5063(a,1),4391(a,1,1))]. 5082 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(5063(a,1),4488(a,1,2))]. 5083 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(5063(a,2),4568(a,1,1))]. 5086 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4685(a,1),5063(a,2,2))]. 5087 K(x \ y,x) * y = (x \ y) * x. [hyper(129,a,5065,a)]. 5088 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(62,a,4970,a,b,5065,a)]. 5089 ((x \ y) * x) / y = T(K(x \ y,x),y). [hyper(273,a,5065,a,b,5069,a)]. 5092 K(x \ y,x) * (x * (y / x)) = y. [hyper(4598,a,5072,a)]. 5094 K(x \ y,x) * (y / x) = x \ y. [hyper(115,a,5072,a(flip),b,4568,a(flip)),flip(a)]. 5095 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5087(a,1),1731(a,2,2))]. 5102 K(x,y) = T(y,x) \ y. [hyper(3969,a,5073,a),flip(a)]. 5103 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(4204,a,5102,a),flip(a)]. 5104 K(x,y) = (x * y) / (y * x). [hyper(273,a,4128,a,b,5102,a),flip(a)]. 5105 K(x,y) = ((y * x) / y) \ x. [hyper(273,a,3917,a,b,5102,a),flip(a)]. 5106 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(273,a,3262,a,b,5102,a)]. 5107 K(x,y) = (y \ 1) \ (T(y,x) \ 1). [hyper(273,a,3257,a,b,5102,a),flip(a)]. 5108 K(x,y) = y / T(y,x). [hyper(273,a,3191,a,b,5102,a),flip(a)]. 5109 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(273,a,3094,a,b,5102,a),flip(a)]. 5110 K(x,y) = y * (T(y,x) \ 1). [hyper(273,a,940,a,b,5102,a),flip(a)]. 5111 K(x,y) = x \ T(x,y). [hyper(273,a,4206,a(flip),b,5102,a),flip(a)]. 5112 x * T(x \ 1,y) = K(x \ 1,y). [hyper(273,a,4197,a(flip),b,5102,a)]. 5114 K(x,y) / y = 1 / T(y,x). [hyper(116,a,5102,a,b,3190,a)]. 5115 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(115,a,5102,a,b,3094,a)]. 5116 T(x,y) \ 1 = x \ K(y,x). [hyper(115,a,5102,a,b,940,a),flip(a)]. 5117 T(x,y) = x / K(y,x). [hyper(176,a,5102,a(flip)),flip(a)]. 5118 T(x,y) * K(y,x) = x. [hyper(131,a,5102,a(flip))]. 5119 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(25(a,2),5102(a,2,1)),flip(a)]. 5120 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(27(a,2),5102(a,2,1)),flip(a)]. 5121 K(x,y) != z \ y | T(y,x) = z. [para(5102(a,2),47(a,1))]. 5125 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1679(a,1),5102(a,2,1))]. 5126 T(x,y) = K(y,x) \ x. [para(5102(a,2),3189(a,1,1)),flip(a)]. 5127 K(x,y) * T(y,x) = y. [para(5102(a,2),3192(a,1,1))]. 5128 (1 / x) * K(y,x) = 1 / T(x,y). [para(5102(a,2),3186(a,1,2))]. 5129 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5102(a,2),3263(a,1,2))]. 5130 ((x * y) / x) * K(y,x) = y. [para(5102(a,2),3911(a,1,2))]. 5131 K(x,y) * ((y * x) / y) = x. [para(5102(a,2),3918(a,1,1))]. 5132 K(x,y) * (y * x) = x * y. [para(5102(a,2),4126(a,1,1))]. 5134 T(x * K(y,x),y) = x. [para(5102(a,2),4237(a,1,1,2))]. 5135 (x * y) / x = y * K(x,y). [para(5102(a,2),4210(a,2,2))]. 5137 x * (K(x,y) * z) = T(x,y) * z. [para(5102(a,2),4211(a,1,2,1))]. 5138 T(x,y) * (x \ z) = K(x,y) * z. [para(5102(a,2),4212(a,2,1))]. 5139 K(x / y,z) * x = y * T(y \ x,z). [para(5102(a,2),4378(a,1,1))]. 5141 x * (T(x,y) \ z) = K(y,x) * z. [para(5102(a,2),4626(a,1,1)),flip(a)]. 5142 K(x,y) * (T(y,x) * z) = y * z. [para(5102(a,2),4627(a,1,1))]. 5143 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5102(a,2),4629(a,1,1))]. 5144 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(23(a,1),5108(a,2,2)),flip(a)]. 5146 R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). [para(27(a,2),5108(a,2,2)),flip(a)]. 5147 K(x,y) \ y != z | T(y,x) = z. [para(5108(a,2),290(a,1,1))]. 5149 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4775(a,1),5108(a,2,2))]. 5150 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(273,a,4108,a,b,5111,a)]. 5151 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(273,a,3915,a,b,5111,a),flip(a)]. 5152 K(x,y) = ((x * y) / x) / y. [hyper(273,a,3913,a,b,5111,a),flip(a)]. 5153 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(273,a,3912,a,b,5111,a)]. 5154 K(x,y) = y \ ((x * y) / x). [hyper(273,a,3907,a,b,5111,a),flip(a)]. 5155 K(x,y) = (1 / x) * T(x,y). [hyper(273,a,3277,a,b,5111,a),flip(a)]. 5156 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(273,a,3275,a,b,5111,a),flip(a)]. 5157 K(x,y) = T(x,y) / x. [hyper(273,a,3273,a,b,5111,a),flip(a)]. 5158 K(x,y) = T(x,y) * (x \ 1). [hyper(273,a,880,a,b,5111,a),flip(a)]. 5160 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(115,a,5111,a,b,3915,a)]. 5161 T(x,y) = (1 / x) \ K(x,y). [hyper(115,a,5111,a,b,3277,a),flip(a)]. 5163 T(x,y) = x * K(x,y). [hyper(131,a,5111,a(flip)),flip(a)]. 5164 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(25(a,2),5111(a,2,2)),flip(a)]. 5165 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(27(a,2),5111(a,2,2)),flip(a)]. 5166 K(x,y) != x \ z | T(x,y) = z. [para(5111(a,2),46(a,1))]. 5167 x * K(x,y) != z | T(x,y) = z. [para(5111(a,2),225(a,1,2))]. 5170 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(5111(a,2),1057(a,1,1))]. 5171 (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = L(K(L(z,y,x),u),L(z,y,x),x * y). [para(5111(a,2),464(a,1,1)),flip(a)]. 5172 (x \ 1) / K(x,y) = T(x,y) \ 1. [para(5111(a,2),1999(a,1,2))]. 5173 T(x,y) = K(x,y) * x. [para(5111(a,2),3274(a,1,1)),flip(a)]. 5174 (x * K(y,x)) * y = y * x. [para(5111(a,2),3903(a,1,1,2))]. 5175 T(x,y) * K(y,T(x,y)) = x. [para(5111(a,2),3906(a,1,2))]. 5176 (x \ y) * K(x,x \ y) = y / x. [para(5111(a,2),3905(a,1,2))]. 5178 K(x,y) * (x * z) = T(x,y) * z. [para(5111(a,2),4039(a,1,1))]. 5179 x * (T(x,y) \ z) = K(x,y) \ z. [para(5111(a,2),4043(a,1,1)),flip(a)]. 5181 x \ T(x,y \ x) = K(x,x / y). [para(4079(a,1),5111(a,2,2)),flip(a)]. 5182 K(x,x \ y) * y = x * (y / x). [para(5111(a,2),4112(a,1,1))]. 5184 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4391(a,1),5111(a,2,2)),flip(a)]. 5186 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4775(a,1),5111(a,2,2))]. 5188 T(x,y) != x / z | K(y,x) = z. [para(5117(a,2),44(a,1))]. 5189 T(x,y) \ x != z | K(y,x) = z. [para(5117(a,2),290(a,1,1))]. 5191 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(5117(a,2),1196(a,1,1)),flip(a)]. 5192 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3638(a,1),5117(a,2,2)),flip(a)]. 5193 x * K(R(x,y,z),x) = x. [para(159(a,1),5118(a,1,1))]. 5194 (x \ y) * K(x,y / x) = y / x. [para(110(a,1),5118(a,1,1))]. 5196 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(5118(a,1),2409(a,1,1,1)),flip(a)]. 5197 ((x \ y) \ y) * K(y / x,x) = x. [para(4267(a,1),5118(a,1,1))]. 5198 T(x,y) * (K(y,x) * z) = x * z. [para(5118(a,1),4576(a,1,1)),flip(a)]. 5199 x * (y * K(x,y)) = T(x,y) * y. [para(5118(a,1),4642(a,1,2)),flip(a)]. 5201 T(x,y) = 1 / (x \ K(y,x)). [hyper(273,a,3662,a,b,5126,a),flip(a)]. 5202 x / T(x,y) != z | K(y,x) = z. [para(5126(a,2),331(a,1,2)),flip(b)]. 5203 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5126(a,2),2391(a,1,2,1))]. 5204 K(x,y / x) * (x \ y) = y / x. [para(110(a,1),5127(a,1,2))]. 5205 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(4334,a,5134,a)]. 5206 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(4303,a,5134,a),flip(a)]. 5207 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(425,a,5134,a)]. 5208 x / (x / y) = y * K(x / y,y). [hyper(39,a,217,a,b,5134,a)]. 5209 T(T(x * K(y,x),z),y) = T(x,z). [para(5134(a,1),23(a,1,1)),flip(a)]. 5210 (x * K(y,x)) \ (y * x) = y. [para(5134(a,1),200(a,1,2,2))]. 5211 (x * y) / x != z | y * K(x,y) = z. [para(5134(a,1),333(a,1,1,2)),flip(b)]. 5212 T(x * K(y,x),z) * y = y * T(x,z). [para(5134(a,1),209(a,1,2,1)),flip(a)]. 5213 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5134(a,1),243(a,1,1,2,1)),flip(a)]. 5214 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5134(a,1),210(a,1,2,1)),flip(a)]. 5215 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5134(a,1),211(a,1,2,1)),flip(a)]. 5216 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(5134(a,1),645(a,1,1)),flip(a)]. 5218 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(5134(a,1),414(a,1,2,1,1)),flip(a)]. 5219 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(5134(a,1),1304(a,1,1)),flip(a)]. 5220 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(5134(a,1),2934(a,1,2,2)),flip(a)]. 5221 T(K(x,y) * y,x) = y. [para(3204(a,2),5134(a,1,1))]. 5222 T(x \ K(y,x \ 1),y) = x \ 1. [para(3465(a,1),5134(a,1,1))]. 5223 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(5134(a,1),4228(a,1,2,1)),flip(a)]. 5224 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(5134(a,1),4675(a,1,3)),flip(a)]. 5225 T(1 / (1 / x),y) = K(x,y) / (1 / x). [hyper(116,a,5157,a,b,1489,a),flip(a)]. 5227 K(x,y) * x != z | T(x,y) = z. [para(5157(a,2),222(a,1,1))]. 5232 K(x,x \ K(y,x)) = K(x,x \ 1). [hyper(3479,a,5163,a),flip(a)]. 5234 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(116,a,5163,a,b,83,a)]. 5235 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(62,a,4779,a,b,5163,a),flip(a)]. 5237 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(5163(a,2),20(a,2,2)),flip(a)]. 5238 T(x,y) != x * z | K(x,y) = z. [para(5163(a,2),42(a,1))]. 5239 x \ T(x,y) != z | K(x,y) = z. [para(5163(a,2),288(a,1,2))]. 5240 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5163(a,2),105(a,2,1))]. 5243 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(5163(a,2),903(a,2,2,1))]. 5244 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(5163(a,2),1065(a,1,2)),flip(a)]. 5245 (x * (y * z)) \ (x * (y * T(z,u))) != w | L(L(K(z,u),z,y),y * z,x) = w. [para(5163(a,2),744(a,1,2,2,2))]. 5246 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3107(a,1),5163(a,2,2)),flip(a)]. 5247 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(5163(a,1),3138(a,2,2))]. 5248 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(424,a,5173,a),flip(a)]. 5250 T(x,y) / (y \ x) = y * K(x,y). [hyper(116,a,5173,a,b,4582,a)]. 5252 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(62,a,25,a,b,5173,a),flip(a)]. 5253 x * (K(y,x) * y) = y * x. [para(5173(a,1),108(a,1,2))]. 5256 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(5173(a,2),96(a,2,2))]. 5261 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5173(a,2),453(a,1,2,2))]. 5262 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5173(a,2),478(a,2,2))]. 5264 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5173(a,2),635(a,1,1))]. 5265 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(5173(a,2),850(a,1,2,1))]. 5266 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(5173(a,2),1300(a,2,1,1))]. 5267 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5173(a,2),1377(a,1,1))]. 5268 (x * y) / x = K(x,y) * y. [hyper(245,a,5221,a)]. 5269 K(x,x \ y) * (x \ y) = y / x. [hyper(39,a,110,a,b,5221,a),flip(a)]. 5270 K(R(x,y,z),x) = 1. [hyper(118,a,5193,a),flip(a)]. 5272 x / ((y \ x) * y) = K(y,y \ x). [para(10(a,1),5104(a,2,1)),flip(a)]. 5273 K(x,y) * (y * x) = (x * y) * 1. [para(5104(a,2),149(a,1,1))]. 5274 K(x,x \ y) * ((x \ y) * x) = y. [para(5104(a,2),80(a,1,1))]. 5275 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5104(a,2),821(a,1,1,1))]. 5276 K(x,y) != z | T(y,x) \ y = z. [para(5104(a,2),4130(a,1))]. 5277 K(x,y) = x * (((y * x) / y) \ 1). [hyper(273,a,1171,a,b,5105,a),flip(a)]. 5278 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(115,a,5105,a,b,1171,a),flip(a)]. 5281 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5110(a,2),95(a,1,2,2)),flip(a)]. 5282 x * (K(y,z) / z) = x * (1 / T(z,y)). [hyper(57,a,5114,a)]. 5283 T(x,y) = (K(y,x) / x) \ 1. [hyper(171,a,5114,a(flip)),flip(a)]. 5285 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [para(2305(a,1),5114(a,1,1))]. 5286 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(5114(a,2),2934(a,1,2)),flip(a)]. 5287 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(109(a,1),5116(a,1,1))]. 5288 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5116(a,1),331(a,1,2)),flip(b)]. 5289 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5116(a,1),2029(a,1,2,1))]. 5290 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5116(a,2),3481(a,2,1))]. 5291 (x / y) * K(y \ x,y) = y \ x. [para(10(a,1),5130(a,1,1,1))]. 5295 K(x,y) = x / ((y * x) / y). [hyper(128,a,5131,a),flip(a)]. 5298 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(83(a,1),5131(a,1,2,1))]. 5300 K(x,y / x) * y = x * (y / x). [para(12(a,1),5132(a,1,2))]. 5301 x * (y * z) != z * y | K(z,y) = x. [para(5132(a,1),43(a,1)),flip(a)]. 5302 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(94(a,1),5132(a,1,2))]. 5303 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3997,a,5135,a)]. 5304 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(273,a,3650,a(flip),b,5135,a)]. 5305 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(273,a,3645,a(flip),b,5135,a)]. 5306 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(115,a,5135,a,b,937,a)]. 5307 ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). [hyper(62,a,1279,a,b,5135,a)]. 5308 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(62,a,4546,a(flip),b,5135,a),flip(a)]. 5309 x \ T(x * y,y) = y * K(x * y,y). [hyper(62,a,4102,a(flip),b,5135,a)]. 5310 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(57,a,5135,a)]. 5311 (x * y) / x != y * z | K(x,y) = z. [para(5135(a,2),42(a,1))]. 5313 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5135(a,1),333(a,1))]. 5314 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(104(a,1),5135(a,1,1))]. 5315 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5135(a,1),105(a,1,1))]. 5316 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5135(a,2),467(a,1,2))]. 5318 T(x * K(y,x),x * y) = L(x,y,x). [para(5135(a,1),653(a,1,1))]. 5319 T(x * K(y * x,x),y) = R(x,y,x). [para(5135(a,1),704(a,2,1)),flip(a)]. 5320 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5135(a,1),759(a,1,1))]. 5321 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5135(a,1),764(a,1,1))]. 5322 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5135(a,2),85(a,1,2))]. 5323 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(5135(a,1),852(a,1,1,1))]. 5324 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5135(a,1),760(a,1,1))]. 5325 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(1107(a,1),5135(a,1,1))]. 5326 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1256(a,1),5135(a,1,1))]. 5327 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5135(a,1),1280(a,2,1)),flip(a)]. 5328 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1362(a,1),5135(a,1,1))]. 5329 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(1430(a,1),5135(a,1,1))]. 5330 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5135(a,1),1600(a,2,1,2))]. 5331 L(x,y,x * K(y,x)) = L(x,y,x). [para(5135(a,1),4357(a,1,3))]. 5332 T(x * K(y,x),y * x) = L(x,y,x). [para(5135(a,1),4358(a,1,1))]. 5333 ((x * y) / x) * z = y * (K(x,y) * z). [para(5135(a,2),4568(a,1,1))]. 5334 K(x,y) * (y * z) = ((x * y) / x) * z. [para(5135(a,2),4572(a,1,1)),flip(a)]. 5335 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5135(a,1),4964(a,1,1,2))]. 5336 (x * K(y,x)) \ x = K(x,y). [para(5135(a,1),5105(a,2,1)),flip(a)]. 5338 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(865(a,1),5152(a,2,1)),flip(a)]. 5339 (x \ T(x * y,y)) / y = K(x * y,y). [para(4102(a,1),5152(a,2,1)),flip(a)]. 5341 x * K(y,x) != z | (y * x) / y = z. [para(5154(a,2),225(a,1,2))]. 5344 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(5154(a,2),1217(a,1,2)),flip(a)]. 5346 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(115,a,5158,a,b,108,a),flip(a)]. 5347 K(1 / x,y) / x = T(1 / x,y). [hyper(316,a,5158,a(flip))]. 5348 (x * T(y,z)) \ (x * K(y,z)) = L(y \ 1,T(y,z),x). [para(5158(a,2),18(a,2,2,2)),flip(a)]. 5350 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(34,a,1416,a,b,5174,a),flip(a)]. 5351 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(3109(a,1),5174(a,1,1,2))]. 5352 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3465(a,1),5174(a,1,1))]. 5353 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5174(a,1),4972(a,1,2)),flip(a)]. 5354 K(x,T(y,x)) = K(x,y). [hyper(33,a,5118,a,b,5175,a),flip(a)]. 5355 K(x,x \ (y * x)) = K(x,y). [para(22(a,1),5354(a,1,2))]. 5356 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(25(a,2),5354(a,1,2))]. 5357 K(x,y / x) = K(x,x \ y). [para(110(a,1),5354(a,1,2)),flip(a)]. 5359 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(218(a,1),5354(a,1,2)),flip(a)]. 5360 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(220(a,1),5354(a,1,2)),flip(a)]. 5361 K(x,y * K(x,y)) = K(x,y). [para(5134(a,1),5354(a,1,2)),flip(a)]. 5363 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(5253(a,1),4705(a,1,1))]. 5364 K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [hyper(729,a,5268,a)]. 5365 ((x * y) / x) / y != z | K(x,y) = z. [para(5268(a,2),280(a,1,1))]. 5366 K(x,y) / x = 1 / ((y * x) / y). [hyper(116,a,5295,a,b,1601,a)]. 5367 x / (y / (y / x)) = K(x,x \ y). [para(4294(a,1),5295(a,2,2)),flip(a)]. 5368 K(x,y) \ 1 = K(y,x). [hyper(62,a,3601,a(flip),b,5336,a)]. 5370 1 / K(x,y) = K(y,x). [hyper(176,a,5368,a)]. 5371 K(x,y) * K(y,x) = 1. [hyper(131,a,5368,a)]. 5372 K(T(x,y),y) = K(x,y). [hyper(38,a,4407,a,b,5368,a)]. 5373 K(x / y,y) = K(y \ x,y). [hyper(38,a,4405,a,b,5368,a),flip(a)]. 5374 x * (K(y,z) * K(z,y)) = x. [para(5368(a,1),69(a,1,2,2))]. 5375 x * K(y,z) != 1 | K(z,y) = x. [para(5368(a,1),127(a,1,2)),flip(b)]. 5376 1 / K(x,y) != z | K(y,x) = z. [para(5368(a,1),331(a,1,2)),flip(b)]. 5380 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5368(a,1),1701(a,2,2,1))]. 5381 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(5368(a,1),1710(a,1,1,2,2,1)),flip(a)]. 5382 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5368(a,1),1994(a,2,1,2,1))]. 5384 K(x,y) \ x = x * K(y,x). [para(5368(a,1),3539(a,1,2)),flip(a)]. 5385 K(x,T(y,x)) != z | K(x,y) = z. [para(5368(a,1),4419(a,1))]. 5386 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5368(a,1),4583(a,2,2))]. 5387 K(x,y) * (K(y,x) * z) = z. [para(5368(a,1),4609(a,1,1))]. 5388 K(x,y) \ z = K(y,x) * z. [para(5368(a,1),4612(a,1,1))]. 5389 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5368(a,1),5158(a,2,2)),flip(a)]. 5390 K(x,y) != 1 / z | K(y,x) = z. [para(5370(a,1),44(a,1))]. 5391 K(x,y) * z != 1 | K(y,x) = z. [para(5370(a,1),123(a,1,1)),flip(b)]. 5392 K(x,y) \ 1 != z | K(y,x) = z. [para(5370(a,1),290(a,1,1))]. 5393 (K(x,y) * z) * (K(y,x) * u) = K(x,y) * ((z / K(x,y)) * u). [para(5370(a,1),112(a,1,2,1))]. 5394 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5370(a,1),3681(a,1,2,2))]. 5396 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(115,a,5371,a(flip),b,4587,a),flip(a)]. 5397 K(x \ (y * x),x) = K(y,x). [para(22(a,1),5372(a,1,1))]. 5399 K(T(x,x * y),y) = K(L(x,y,x),y). [para(647(a,1),5372(a,1,1))]. 5400 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(598(a,1),5372(a,1,1))]. 5401 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(715(a,1),5372(a,1,1)),flip(a)]. 5402 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(707(a,1),5372(a,1,1)),flip(a)]. 5403 K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). [para(1410(a,1),5372(a,1,1)),flip(a)]. 5404 K(x / (x / y),y \ x) = K(y,y \ x). [para(4278(a,1),5372(a,1,1)),flip(a)]. 5405 K(x * K(y,x),y) = K(x,y). [para(5134(a,1),5372(a,1,1)),flip(a)]. 5406 K((x / y) \ x,z / y) = K(y,y \ z). [hyper(62,a,622,a,b,5357,a)]. 5407 x \ (y * (x / y)) = K(y,y \ x). [hyper(62,a,89,a,b,5357,a)]. 5408 x * K(y,y \ x) = y * (x / y). [para(5357(a,1),261(a,1,2))]. 5414 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(116,a,5374,a(flip),b,104,a(flip))]. 5416 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5384(a,1),96(a,1,1))]. 5417 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5384(a,1),4583(a,2,2))]. 5418 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(213,a,5387,a),flip(a)]. 5419 x / (K(y,z) * x) = K(z,y). [hyper(128,a,5387,a)]. 5420 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(33,a,642,a,b,5387,a),flip(a)]. 5421 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(33,a,2226,a(flip),b,5387,a),flip(a)]. 5422 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),K(u,z) * y). [para(5387(a,1),14(a,2,1,2)),flip(a)]. 5423 K(x,y) * z != u | K(y,x) * u = z. [para(5387(a,1),42(a,1)),flip(a)]. 5425 x * (K(y,z) * u) != u | K(z,y) = x. [para(5387(a,1),43(a,1)),flip(a)]. 5426 x / (K(y,z) * x) != u | K(z,y) = u. [para(5387(a,1),280(a,1,1))]. 5427 K(x,y) \ z != u | K(y,x) * z = u. [para(5387(a,1),288(a,1,2))]. 5428 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5387(a,1),96(a,2,2))]. 5429 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5387(a,1),104(a,1,2))]. 5430 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5387(a,1),444(a,1,1)),flip(a)]. 5431 L(a(K(x,y),z,u),K(x,y) * (z * u),K(y,x)) = (z * u) \ (K(y,x) * ((K(x,y) * z) * u)). [para(5387(a,1),461(a,1,1)),flip(a)]. 5432 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(273,a,3215,a,b,5388,a),flip(a)]. 5434 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(115,a,5388,a,b,108,a)]. 5435 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(62,a,3801,a(flip),b,5388,a),flip(a)]. 5437 K(x,y) * (K(y,x) * z) != u | z = u. [para(5388(a,1),225(a,1,2))]. 5438 K(x,y) * (K(y,x) * z) != u | u = z. [para(5388(a,1),328(a,1))]. 5439 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5388(a,1),256(a,1,1))]. 5441 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5388(a,1),545(a,1,2))]. 5442 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5388(a,1),314(a,1,1,3))]. 5444 K(x,y) != z / u | K(y,x) * z = u. [para(5419(a,1),44(a,1))]. 5445 K(x,y) != z | K(y,x) \ 1 = z. [para(5419(a,1),233(a,1)),flip(b)]. 5446 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3210(a,2),5419(a,1,2))]. 5450 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(25(a,2),5189(a,1,1))]. 5451 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4198(a,2),5189(a,1))]. 5452 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(23(a,1),5202(a,1,2))]. 5455 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(25(a,2),5239(a,1,2))]. 5457 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(645(a,2),5239(a,1,2))]. 5458 x * T(x \ 1,y) != z | K(1 / x,y) = z. [para(674(a,1),5239(a,1))]. 5459 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(4108(a,2),5239(a,1))]. 5460 K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. [para(5388(a,1),5239(a,1))]. 5462 K(x,x \ (y * x)) != z | K(x,y) = z. [para(22(a,1),5385(a,1,2))]. 5467 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(5107(a,2),96(a,1,1)),flip(a)]. 5468 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(1011,a,5112,a)]. 5469 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(62,a,2355,a(flip),b,5112,a)]. 5470 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(62,a,1162,a(flip),b,5112,a)]. 5471 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(62,a,1144,a(flip),b,5112,a)]. 5472 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(115,a,5112,a(flip),b,809,a(flip))]. 5473 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(5112(a,1),669(a,2,2))]. 5474 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5112(a,1),835(a,2,2))]. 5475 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5112(a,1),1049(a,1,1))]. 5476 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5112(a,1),1143(a,1,2)),flip(a)]. 5477 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5112(a,1),1160(a,1,1))]. 5479 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5112(a,1),1427(a,2,1))]. 5480 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5112(a,1),1526(a,2,1))]. 5481 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(5112(a,1),1637(a,2,2))]. 5482 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(5112(a,1),1685(a,1,2)),flip(a)]. 5483 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5112(a,1),2163(a,2,1,2))]. 5487 x \ (T(x,y) * z) = K(x,y) * z. [hyper(122,a,5137,a)]. 5488 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(115,a,5158,a,b,5137,a),flip(a)]. 5489 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(115,a,10,a(flip),b,5137,a),flip(a)]. 5490 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(33,a,4379,a,b,5137,a)]. 5491 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(33,a,943,a,b,5137,a),flip(a)]. 5492 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(33,a,4453,a(flip),b,5137,a),flip(a)]. 5493 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(33,a,4451,a(flip),b,5137,a),flip(a)]. 5494 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(33,a,4324,a(flip),b,5137,a),flip(a)]. 5495 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5137(a,1),14(a,2,2,1)),flip(a)]. 5496 T(x,y) * z != x * u | K(x,y) * z = u. [para(5137(a,1),42(a,1))]. 5497 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(108(a,1),5137(a,1,2)),flip(a)]. 5499 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(5137(a,1),288(a,1,2))]. 5500 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2226(a,1),5137(a,1,2))]. 5501 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(965,a,5138,a)]. 5502 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(849,a,5138,a)]. 5503 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(273,a,3153,a,b,5138,a),flip(a)]. 5504 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(128,a,5138,a)]. 5505 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(122,a,5138,a)]. 5506 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(115,a,5387,a(flip),b,5138,a),flip(a)]. 5507 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(62,a,5137,a,b,5138,a)]. 5508 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(62,a,4430,a,b,5138,a)]. 5509 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(62,a,5052,a(flip),b,5138,a)]. 5511 (x * y) / (T(x,z) * y) = K(z,x). [hyper(116,a,4637,a(flip),b,5138,a(flip))]. 5512 K(x,y) \ (y * z) = T(y,x) * z. [hyper(115,a,4637,a(flip),b,5138,a(flip))]. 5513 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(115,a,5138,a(flip),b,5137,a)]. 5515 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(18(a,2),5138(a,1,2)),flip(a)]. 5516 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5111(a,2),5138(a,1,2)),flip(a)]. 5517 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1002,a,5141,a)]. 5518 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(964,a,5141,a),flip(a)]. 5519 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(116,a,4647,a,b,5141,a(flip))]. 5520 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(116,a,4800,a(flip),b,5141,a(flip)),flip(a)]. 5521 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5141(a,1),964(a,1))]. 5523 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. [para(4247(a,1),5141(a,1,2,1))]. 5524 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(5141(a,1),4584(a,1,2)),flip(a)]. 5525 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5111(a,2),5141(a,1,2)),flip(a)]. 5529 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1467(a,1),5151(a,2,1)),flip(a)]. 5531 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [hyper(171,a,5172,a),flip(a)]. 5532 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(5172(a,1),290(a,1,1))]. 5533 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(5176(a,1),3462(a,1,2))]. 5534 (1 / (x \ y)) * (y / x) = K(x,x \ y). [para(5176(a,1),3464(a,1,2))]. 5535 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5176(a,1),4568(a,1,1)),flip(a)]. 5536 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5176(a,1),4572(a,1,1)),flip(a)]. 5538 T(x \ y,R(y / x,z,u)) = x \ y. [para(5176(a,1),4726(a,1,2,1))]. 5539 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(273,a,5137,a,b,5178,a),flip(a)]. 5541 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(115,a,108,a(flip),b,5178,a)]. 5543 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5178(a,1),287(a,1))]. 5544 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(210(a,1),5178(a,1,2))]. 5545 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(211(a,1),5178(a,1,2))]. 5551 K(x,x / y) = K(x,y \ x). [hyper(5239,a,5181,a),flip(a)]. 5552 K(x,(y \ x) \ x) = K(x,y). [para(74(a,1),5551(a,1,2)),flip(a)]. 5554 K(x * y,T(y,x)) = K(x * y,y). [para(4245(a,2),5552(a,1,2))]. 5557 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(5182(a,1),453(a,1,1))]. 5558 K(x,(x \ 1) * y) * y = x * (y / x). [para(4482(a,2),5182(a,1,1))]. 5559 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(5197(a,1),5012(a,1,1)),flip(a)]. 5560 K(x,y) * (x / y) = x / T(y,x). [hyper(4465,a,5198,a),flip(a)]. 5561 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(116,a,5163,a,b,5198,a)]. 5562 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [hyper(115,a,5163,a,b,5198,a)]. 5565 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5198(a,1),288(a,1,2))]. 5566 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5199(a,1),20(a,2,2)),flip(a)]. 5567 T(x * K(x * y,x),y * x) = x. [hyper(4312,a,5209,a),flip(a)]. 5568 T(x * K(x * y,x),y) = R(x,y,x). [hyper(4303,a,5209,a),flip(a)]. 5569 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(425,a,5209,a)]. 5570 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(39,a,5221,a,b,5209,a)]. 5571 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(39,a,5134,a,b,5209,a)]. 5572 T(x,y) != T(z,u) | T(z * K(y,z),u) = x. [para(5209(a,1),48(a,2)),flip(b)]. 5574 T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). [para(5222(a,1),209(a,1,2,1)),flip(a)]. 5575 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(22(a,2),5250(a,1,2))]. 5576 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(5250(a,1),417(a,1,1,1)),flip(a)]. 5577 (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). [para(5269(a,1),18(a,2,2,2)),flip(a)]. 5579 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5057(a,2),5272(a,1,2))]. 5580 K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). [para(4558(a,2),5273(a,2,2))]. 5582 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5277(a,2),1060(a,2,2))]. 5583 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5278(a,1),2959(a,1,2))]. 5584 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4356(a,1),5278(a,1,1)),flip(a)]. 5585 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(5278(a,1),4440(a,1,2))]. 5588 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [para(4475(a,1),5291(a,1,2))]. 5590 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(728(a,1),5366(a,2,2))]. 5591 1 / (x * K(y,x)) = K(x,y) / x. [para(5135(a,1),5366(a,2,2)),flip(a)]. 5593 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5386(a,1),3409(a,2,2,2))]. 5594 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [para(5386(a,1),5158(a,2,2)),flip(a)]. 5595 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(128,a,5396,a)]. 5596 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5396(a,1),280(a,1,1))]. 5597 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3981,a,5407,a)]. 5599 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4892(a,2),5407(a,1,2))]. 5601 T(x,K(y,y \ x)) = x. [hyper(212,a,5408,a,b,5182,a)]. 5602 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(62,a,5198,a,b,5408,a)]. 5603 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5408(a,1),18(a,2,1)),flip(a)]. 5604 x * (y / x) != y * z | K(x,x \ y) = z. [para(5408(a,1),42(a,1))]. 5605 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5434(a,1),1397(a,1,2,2,1))]. 5606 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5434(a,1),1934(a,1,2,2,1))]. 5608 x \ y != K(x,z) * u | T(x,z) * u = y. [para(5487(a,1),46(a,1)),flip(a)]. 5609 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5487(a,1),225(a,1,2))]. 5610 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5487(a,1),955(a,1))]. 5611 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1542,a,5488,a)]. 5612 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5489(a,1),42(a,1))]. 5614 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(25(a,2),5501(a,1,2,1))]. 5615 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(4193,a,5505,a),flip(a)]. 5618 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(27(a,2),5511(a,1,2,1))]. 5621 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(25(a,2),5517(a,1,1))]. 5624 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [para(5354(a,1),5518(a,1,1))]. 5625 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(5116(a,1),5531(a,2,1)),flip(a)]. 5626 K(x * y,y) = K(y * x,y). [hyper(4487,a,5554,a),flip(a)]. 5627 K(x * y,y) != z | K(y * x,y) = z. [para(5554(a,1),4487(a,1))]. 5628 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5560(a,1),94(a,1,1))]. 5629 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5560(a,1),167(a,1,2,1))]. 5630 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5583(a,1),209(a,1,2,1))]. 5631 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(171,a,5591,a)]. 5632 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(3107(a,2),5591(a,2,1))]. 5633 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(5591(a,1),5155(a,2,1)),flip(a)]. 5637 ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. [para(4356(a,2),5311(a,1,1))]. 5639 K(x,y) * z != u | K(y,x) \ z = u. [para(10(a,1),5437(a,1,2))]. 5640 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(2746(a,1),5437(a,1,2))]. 5641 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5142(a,1),5437(a,1,2))]. 5642 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3213,a,5493,a)]. 5644 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3213,a,5494,a)]. 5645 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5568(a,1),23(a,1,1)),flip(a)]. 5647 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(115,a,5642,a(flip),b,5137,a),flip(a)]. 5648 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(115,a,5644,a(flip),b,5137,a),flip(a)]. 5649 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5644(a,1),18(a,2,2,2)),flip(a)]. 5650 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(9(a,1),5088(a,1,1,1)),flip(a)]. 5651 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(5106(a,1),2495(a,2,1,2,1))]. 5652 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(5109(a,2),3020(a,1,2))]. 5653 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [para(5109(a,1),5163(a,2,2)),flip(a)]. 5654 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(5134(a,1),5115(a,1,1,1)),flip(a)]. 5655 K((1 / x) \ y,y) = K(y * x,y). [hyper(273,a,5102,a,b,5125,a),flip(a)]. 5656 K((1 / x) \ y,y) = K(x * y,y). [hyper(273,a,5626,a,b,5655,a),flip(a)]. 5657 K(x * (y \ 1),x) = K(y \ x,x). [para(74(a,1),5655(a,1,1,1)),flip(a)]. 5658 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(62,a,621,a(flip),b,5656,a),flip(a)]. 5660 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5278(a,1),5657(a,1,1,2)),flip(a)]. 5661 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(116,a,808,a(flip),b,5139,a)]. 5663 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(5139(a,1),213(a,2)),flip(a)]. 5664 x / (y * T(y \ x,z)) = K(z,x / y). [para(5139(a,1),5419(a,1,2))]. 5665 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(4079(a,1),5144(a,1,2,1))]. 5666 K(x * K(y,y \ 1),z) = K(x,z). [hyper(273,a,5108,a,b,5149,a),flip(a)]. 5667 K(x * K(y \ 1,y),z) = K(x,z). [para(1807(a,1),5666(a,1,1,2))]. 5668 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2540(a,1),5666(a,1,1))]. 5669 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2588(a,1),5666(a,1,1)),flip(a)]. 5670 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2637(a,1),5666(a,1,1)),flip(a)]. 5671 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2638(a,1),5666(a,1,1))]. 5672 K(K(x,x \ 1) * y,z) = K(y,z). [para(3007(a,2),5666(a,1,1))]. 5673 K(K(x \ 1,x) * y,z) = K(y,z). [para(3041(a,1),5666(a,1,1)),flip(a)]. 5674 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3048(a,1),5666(a,1,1)),flip(a)]. 5675 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3049(a,1),5666(a,1,1))]. 5676 K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). [para(3855(a,1),5666(a,1,1))]. 5677 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(4833(a,1),5666(a,1,1))]. 5678 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4772(a,2),5666(a,1,1))]. 5679 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(3027(a,2),5667(a,1,1))]. 5681 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(3031(a,1),5667(a,1,1))]. 5682 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4824(a,1),5667(a,1,1)),flip(a)]. 5683 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4823(a,2),5667(a,1,1))]. 5684 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4876(a,2),5667(a,1,1))]. 5686 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(2723(a,1),5672(a,1,1)),flip(a)]. 5687 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [para(5672(a,1),5163(a,2,2)),flip(a)]. 5688 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(3846(a,1),5673(a,1,1))]. 5689 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4865(a,1),5673(a,1,1))]. 5690 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(4882(a,1),5673(a,1,1))]. 5691 L(x * ((y * (x \ 1)) / y),z,u) = K(y,L(x,z,u) \ 1). [hyper(62,a,2503,a(flip),b,5153,a)]. 5692 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(62,a,2487,a(flip),b,5153,a)]. 5693 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(62,a,2212,a(flip),b,5153,a)]. 5694 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(62,a,2114,a(flip),b,5153,a)]. 5695 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(116,a,5153,a(flip),b,779,a)]. 5696 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(5153(a,1),20(a,2,2)),flip(a)]. 5697 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5153(a,1),1096(a,2,2))]. 5698 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5153(a,1),1691(a,1,2))]. 5700 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(5156(a,2),1049(a,1,1))]. 5701 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5156(a,2),1427(a,2,1))]. 5703 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(273,a,5111,a,b,5186,a),flip(a)]. 5704 K(x,y * K(z,1 / z)) = K(x,y). [para(1802(a,2),5703(a,1,2,2))]. 5705 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2540(a,1),5703(a,1,2))]. 5706 K(x,y / (1 / (1 / z))) = K(x,y / z). [para(2596(a,1),5703(a,1,2))]. 5708 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2638(a,1),5703(a,1,2))]. 5710 K(x,K(y,y \ 1) * z) = K(x,z). [para(3007(a,2),5703(a,1,2))]. 5711 K(x,K(y \ 1,y) * z) = K(x,z). [para(3041(a,1),5703(a,1,2)),flip(a)]. 5713 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(3048(a,1),5703(a,1,2)),flip(a)]. 5714 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3049(a,1),5703(a,1,2))]. 5715 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(3051(a,1),5703(a,1,2))]. 5716 K(x,(1 / y) / z) = K(x,(y \ 1) / z). [para(3819(a,1),5703(a,1,2))]. 5717 K(x,K(y,1 / y) * z) = K(x,z). [para(3003(a,2),5704(a,1,2))]. 5718 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4763(a,1),5704(a,1,2))]. 5719 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2746(a,1),5710(a,1,2)),flip(a)]. 5720 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4854(a,1),5710(a,1,2)),flip(a)]. 5721 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(4975(a,1),5710(a,1,2))]. 5722 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(454(a,1),5711(a,1,2))]. 5723 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4826(a,1),5711(a,1,2)),flip(a)]. 5724 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4857(a,2),5711(a,1,2))]. 5725 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4865(a,1),5711(a,1,2))]. 5727 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4883(a,1),5711(a,1,2))]. 5728 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(5002(a,2),5711(a,1,2))]. 5729 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3792(a,1),5717(a,1,2))]. 5730 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(5205(a,1),582(a,1,1,1))]. 5732 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(34,a,1416,a,b,5212,a),flip(a)]. 5734 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(116,a,5213,a,b,5268,a(flip))]. 5735 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(115,a,5213,a,b,5135,a(flip))]. 5736 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(5213(a,2),4073(a,2,2))]. 5737 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5213(a,2),5105(a,2,1)),flip(a)]. 5738 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5213(a,2),5211(a,1))]. 5739 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [hyper(62,a,5225,a(flip),b,5286,a)]. 5740 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(5304(a,1),225(a,1,2))]. 5741 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(330,a,5310,a)]. 5742 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(5178(a,1),5333(a,2,2))]. 5743 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(5213(a,2),5333(a,1,1)),flip(a)]. 5744 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(5334(a,1),4594(a,1))]. 5745 ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). [para(5163(a,2),5334(a,1,2)),flip(a)]. 5746 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(5339(a,1),695(a,1,1))]. 5747 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(116,a,1130,a(flip),b,5352,a),flip(a)]. 5748 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2712(a,1),5356(a,1,2))]. 5750 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(273,a,3109,a(flip),b,5446,a),flip(a)]. 5751 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(10(a,1),5490(a,1,1,1)),flip(a)]. 5752 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(12(a,1),5490(a,1,1,1))]. 5754 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5135(a,1),5490(a,1,1))]. 5757 L(T(x,y),z,K(z,u)) = T(y,w) \ (K(y,w) * (x * y)). [para(5491(a,2),4166(a,2,2))]. 5762 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(273,a,3151,a(flip),b,5516,a)]. 5763 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5516(a,2),3161(a,1))]. 5766 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(5134(a,1),5561(a,1,1))]. 5767 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(273,a,2226,a,b,5562,a),flip(a)]. 5768 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [para(23(a,1),5562(a,1,2))]. 5769 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(809(a,1),5664(a,1,2))]. 5770 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1196(a,1),5664(a,1,2))]. 5771 K((x \ 1) \ y,y) = K(y * x,y). [hyper(62,a,5657,a(flip),b,5668,a)]. 5772 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2978(a,2),5668(a,1,1,2))]. 5773 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3672(a,1),5668(a,1,1,2)),flip(a)]. 5774 K((x \ 1) \ y,y) = K(x * y,y). [hyper(273,a,5626,a,b,5771,a),flip(a)]. 5775 K((1 / x) * y,y) = K(x \ y,y). [para(77(a,1),5774(a,1,1,1)),flip(a)]. 5776 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5774(a,1),5163(a,2,2)),flip(a)]. 5779 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5591(a,1),5675(a,1,1,1)),flip(a)]. 5781 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(3671(a,2),5681(a,1,1,1))]. 5782 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5695(a,2),704(a,2,1)),flip(a)]. 5783 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(5695(a,2),5366(a,2,2))]. 5784 K(x,(1 / x) * y) * y = x * (y / x). [para(5714(a,2),5558(a,1,1))]. 5785 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2815(a,2),5719(a,1,2,1))]. 5786 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5762(a,1),42(a,1))]. 5787 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4278(a,1),5767(a,1,2)),flip(a)]. 5792 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2363(a,2),5451(a,1))]. 5793 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(5458,a,1162,a),flip(a)]. 5794 K(x \ 1,y) != z | K(1 / x,y) = z. [para(5112(a,1),5458(a,1))]. 5795 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(5516(a,2),5496(a,1))]. 5797 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5644(a,1),5499(a,1,2))]. 5800 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5506(a,1),5543(a,1,2))]. 5802 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3988(a,2),5604(a,1))]. 5809 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2230,a,5648,a)]. 5810 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5626(a,2),5648(a,1,2))]. 5811 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5626(a,2),5809(a,1,1))]. 5812 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(5082(a,2),4403(a,1,1))]. 5815 x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. [para(5083(a,2),126(a,1,2)),flip(b)]. 5817 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [para(5207(a,2),5142(a,1,2))]. 5819 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(34,a,5174,a,b,5214,a)]. 5820 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(30(a,1),5214(a,2,2))]. 5822 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(34,a,5174,a,b,5215,a)]. 5824 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5591(a,1),5220(a,1,1,2))]. 5825 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5824(a,1),108(a,1,2)),flip(a)]. 5826 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(62,a,3138,a(flip),b,5247,a),flip(a)]. 5827 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(5290(a,1),3416(a,1,1))]. 5828 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(273,a,2957,a(flip),b,5305,a)]. 5829 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(116,a,5320,a,b,5268,a(flip))]. 5830 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5320(a,2),5105(a,2,1)),flip(a)]. 5831 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5320(a,2),5295(a,2,2)),flip(a)]. 5832 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(5320(a,2),5365(a,1,1))]. 5833 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(115,a,5321,a,b,5135,a(flip))]. 5834 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5321(a,2),4328(a,1,1))]. 5835 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5321(a,2),5105(a,2,1)),flip(a)]. 5837 K((x / y) \ 1,z) = K(y / x,z). [hyper(62,a,5150,a(flip),b,5470,a),flip(a)]. 5838 x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). [para(5470(a,1),78(a,1,2,1))]. 5839 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(808(a,1),5470(a,1,1))]. 5840 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [para(809(a,1),5470(a,1,1))]. 5841 K(1 / (x / y),z) = K(y / x,z). [hyper(5794,a,5837,a)]. 5842 K((x / y) \ 1,x) = K(x \ y,x). [hyper(273,a,5373,a(flip),b,5837,a),flip(a)]. 5843 K(x / (y * x),z) = K(y \ 1,z). [para(11(a,1),5837(a,1,1,1)),flip(a)]. 5844 K((x / (y * x)) \ 1,z) = K(y,z). [para(11(a,1),5837(a,2,1))]. 5845 K((x \ y) / y,z) = K(x \ 1,z). [para(74(a,1),5837(a,1,1,1)),flip(a)]. 5846 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(5837(a,1),5368(a,1,1)),flip(a)]. 5847 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5841(a,1),3353(a,1))]. 5848 T(K(x \ y,x),y) = K((x / y) \ 1,x). [hyper(273,a,5069,a,b,5842,a)]. 5849 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(273,a,4472,a(flip),b,5842,a),flip(a)]. 5850 K((x * y) \ y,x * y) = K(x \ 1,x * y). [para(11(a,1),5842(a,1,1,1)),flip(a)]. 5851 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5843(a,2),5794(a,1))]. 5854 K(x,(y / z) \ 1) = K(x,z / y). [hyper(273,a,5368,a(flip),b,5846,a),flip(a)]. 5855 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5846(a,2),5392(a,1))]. 5856 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(273,a,4562,a,b,5854,a)]. 5857 K(x,1 / (y / z)) = K(x,z / y). [hyper(62,a,3637,a,b,5854,a)]. 5858 K(x,y / (z * y)) = K(x,z \ 1). [para(11(a,1),5854(a,1,2,1)),flip(a)]. 5860 K(x,(y \ z) / z) = K(x,y \ 1). [para(74(a,1),5854(a,1,2,1)),flip(a)]. 5861 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(105(a,2),5854(a,1,2,1))]. 5862 K(x,y / (z * y)) = K(x,1 / z). [para(11(a,1),5857(a,1,2,2)),flip(a)]. 5865 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(62,a,4562,a,b,5858,a)]. 5866 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5858(a,1),5204(a,1,1))]. 5871 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(5862(a,1),5194(a,1,2))]. 5873 K(x,y \ 1) != z | K(x,1 / y) = z. [para(72(a,1),5855(a,1,2,1))]. 5874 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(77(a,1),5873(a,1,2))]. 5877 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1196(a,1),5471(a,1,2))]. 5878 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(1410(a,1),5471(a,1,2,2))]. 5879 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1409(a,1),5471(a,1,2))]. 5880 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1582(a,1),5471(a,1,2))]. 5881 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2022(a,1),5471(a,1,2))]. 5882 T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). [hyper(1524,a,5476,a),flip(a)]. 5883 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(888,a,5476,a)]. 5884 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(672,a,5476,a),flip(a)]. 5885 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(62,a,1582,a(flip),b,5476,a)]. 5886 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(62,a,878,a(flip),b,5476,a),flip(a)]. 5887 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(116,a,5476,a(flip),b,417,a)]. 5888 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(5476(a,2),42(a,1))]. 5889 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(273,a,5476,a(flip),b,5477,a),flip(a)]. 5890 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(273,a,878,a(flip),b,5477,a),flip(a)]. 5891 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(9(a,1),5477(a,2,2,1))]. 5892 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(62,a,4568,a,b,5500,a)]. 5893 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5502(a,2),213(a,2)),flip(a)]. 5894 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [hyper(35,a,5419,a,b,5519,a)]. 5895 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3232,a,5525,a)]. 5896 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(300,a,5535,a),flip(a)]. 5898 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(115,a,10,a(flip),b,5535,a),flip(a)]. 5906 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5178(a,1),5535(a,1,2))]. 5907 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [hyper(5423,a,5536,a)]. 5913 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5571(a,1),288(a,1,2))]. 5914 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(5571(a,1),206(a,1,2,2))]. 5915 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5571(a,1),5071(a,1,1))]. 5916 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(128,a,5615,a)]. 5917 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(62,a,621,a(flip),b,5650,a)]. 5918 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(115,a,621,a(flip),b,5650,a(flip))]. 5920 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(3469,a,5652,a)]. 5921 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(3055(a,2),5653(a,1,2))]. 5924 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(3056(a,1),5678(a,1,1,2))]. 5925 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3887(a,1),5678(a,1,1,2))]. 5926 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(5274(a,1),5678(a,1,1,2)),flip(a)]. 5927 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(2746(a,1),5683(a,1,1,1)),flip(a)]. 5928 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4975(a,1),5683(a,1,1,1))]. 5929 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(3003(a,2),5718(a,1,2,2))]. 5930 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1807(a,1),5724(a,1,2,1,1))]. 5931 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(3052(a,1),5724(a,1,2,1))]. 5932 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4850(a,1),5724(a,1,2,1)),flip(a)]. 5933 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(3047(a,1),5728(a,1,2,2))]. 5934 T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). [para(5309(a,2),5734(a,1,1,1))]. 5935 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5735(a,1),225(a,1,2))]. 5936 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(5063(a,2),5735(a,1,2,1))]. 5937 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5626(a,1),5735(a,1,2,1,2))]. 5938 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5476(a,2),5735(a,1,2,1))]. 5941 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5571(a,1),5737(a,1,1,1))]. 5942 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(5742(a,1),85(a,1,1)),flip(a)]. 5945 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(22(a,2),5751(a,1,2))]. 5948 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(273,a,3003,a(flip),b,5752,a)]. 5949 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(5752(a,2),3791(a,1,1)),flip(a)]. 5951 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(1646(a,1),5793(a,1,1)),flip(a)]. 5952 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(5278(a,1),5828(a,1,1))]. 5953 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(37,a,1652,a(flip),b,5838,a),flip(a)]. 5954 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [para(11(a,1),5838(a,1,2,1,1,1))]. 5955 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5850(a,1),260(a,1,2)),flip(a)]. 5956 K(x \ y,x) * ((x \ y) \ z) != u | (y / x) \ z = u. [para(5898(a,1),5437(a,1,2))]. 5961 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5907(a,1),5437(a,1,2))]. 5963 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(62,a,5310,a,b,5920,a)]. 5964 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4881(a,1),5930(a,1,2,1))]. 5967 R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). [para(23(a,1),5146(a,1,2,1))]. 5969 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(273,a,5135,a(flip),b,5315,a),flip(a)]. 5970 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5969(a,1),1281(a,1,2,3))]. 5971 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5327(a,2),4354(a,1,1))]. 5972 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4488(a,1),5400(a,2,1,1))]. 5973 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [hyper(278,a,5414,a),flip(a)]. 5977 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5470(a,1),5459(a,1))]. 5979 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(273,a,27,a,b,5645,a),flip(a)]. 5980 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(5740,a,1692,a),flip(a)]. 5982 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5748(a,1),5784(a,1,1))]. 5983 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(5973(a,1),27(a,2,1))]. 5984 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5626(a,2),5979(a,1,1,1,2))]. 5985 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4477(a,1),5070(a,1,2))]. 5986 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [hyper(171,a,5985,a(flip))]. 5987 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(5984(a,1),5218(a,1,1))]. 5989 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5330(a,1),383(a,1,1))]. 5990 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(62,a,1593,a(flip),b,5468,a)]. 5991 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(108(a,1),5468(a,1,2))]. 5992 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(822(a,1),5468(a,1,2))]. 5994 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5112(a,1),5469(a,1,1))]. 5995 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(5156(a,2),5469(a,1,1)),flip(a)]. 5996 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(62,a,4562,a(flip),b,5994,a),flip(a)]. 5998 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(105(a,1),5994(a,2,1,1))]. 5999 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3109(a,1),5994(a,1,1)),flip(a)]. 6000 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(694(a,1),5996(a,1,1,1))]. 6001 K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5995(a,1),5368(a,1,1)),flip(a)]. 6002 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5995(a,1),5994(a,1,1)),flip(a)]. 6003 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5999(a,1),5388(a,1,1)),flip(a)]. 6004 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(273,a,822,a(flip),b,5472,a)]. 6005 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3431(a,1),5475(a,1,1))]. 6008 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(822(a,1),5480(a,1,2))]. 6010 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5847,a,5520,a)]. 6017 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(5452,a,5665,a),flip(a)]. 6021 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2711(a,1),5689(a,1,1,1)),flip(a)]. 6023 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1098(a,1),5693(a,1,1))]. 6024 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5153(a,1),5694(a,1,1)),flip(a)]. 6025 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(77(a,1),6024(a,2,1,2))]. 6026 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(6024(a,2),108(a,1,2))]. 6028 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(3169(a,1),6024(a,1,2,1)),flip(a)]. 6029 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3635(a,1),6024(a,2,1))]. 6031 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(6024(a,1),5167(a,1,2))]. 6032 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(5873,a,6025,a)]. 6033 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2933(a,1),6025(a,1,2))]. 6034 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6025(a,1),3173(a,1,2,1))]. 6035 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(110(a,1),6026(a,1,2,2,1)),flip(a)]. 6036 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(74(a,1),5720(a,1,2,2,1)),flip(a)]. 6037 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2883(a,2),5720(a,1,2,2))]. 6038 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4958(a,1),5770(a,1,2))]. 6039 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(131,a,5883,a)]. 6040 x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). [hyper(62,a,267,a(flip),b,5883,a)]. 6041 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(5883(a,1),1380(a,2,2,1))]. 6042 T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). [para(5883(a,2),5734(a,1,1,1))]. 6043 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(10(a,1),5924(a,2,1,2))]. 6044 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3431(a,1),5954(a,1,2,1)),flip(a)]. 6046 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(362(a,1),5980(a,1,2,2,1,2))]. 6052 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5368(a,1),6039(a,1,2,2,1,1,2))]. 6053 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5405(a,2),5416(a,1,2))]. 6054 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5388(a,1),5428(a,1,1))]. 6055 (T(x,y) * K(z,x)) \ u = K(x,z) * (T(x,y) \ u). [hyper(4602,a,5439,a),flip(a)]. 6056 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5439(a,1),4569(a,1))]. 6057 K(x,x * y) * (T(x,y) \ z) = R(x,y,x) \ z. [para(5644(a,1),6055(a,1,1)),flip(a)]. 6058 (R(x,y,x) \ z) / (T(x,y) \ z) = K(x,x * y). [hyper(128,a,6057,a)]. 6059 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(193(a,1),5732(a,2,3))]. 6060 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(33,a,5022,a(flip),b,5819,a),flip(a)]. 6061 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(33,a,5012,a(flip),b,5819,a),flip(a)]. 6062 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6060(a,2),4755(a,1,2))]. 6067 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(5657(a,1),5835(a,1,1,1,2))]. 6069 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(193(a,2),5865(a,1,2))]. 6073 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(9(a,1),5888(a,1,2,1)),flip(a)]. 6076 (x \ y) \ (K(x \ y,x) * z) != u | (y / x) \ z = u. [para(5513(a,2),5956(a,1))]. 6077 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(11(a,1),5982(a,2,2))]. 6078 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5301,a,6077,a),flip(a)]. 6079 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(587,a,5987,a)]. 6080 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(5935,a,5080,a)]. 6081 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(4687(a,1),6080(a,1,1,2))]. 6082 T(x / (x / y),x) = x / (T(x,y) / y). [para(5063(a,2),6081(a,1,1))]. 6083 x / (x / T(y,x)) = T(x / (x / y),x). [para(4222(a,1),6082(a,2,2)),flip(a)]. 6084 T(x / (x / y),x) \ x = x / T(y,x). [hyper(171,a,6083,a)]. 6085 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [para(6083(a,2),4395(a,1,2))]. 6086 L(x,x \ y,x) \ y = y / T(x,y). [para(4391(a,1),6084(a,1,1))]. 6087 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [hyper(273,a,4317,a,b,6085,a)]. 6088 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(4551,a,6087,a)]. 6090 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(5170(a,2),5480(a,1,2))]. 6091 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(273,a,2318,a(flip),b,5285,a),flip(a)]. 6092 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3818,a,6091,a)]. 6093 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5112(a,1),5481(a,1,1,2))]. 6095 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(212,a,6093,a,b,10,a),flip(a)]. 6096 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(122,a,6093,a)]. 6097 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(116,a,142,a(flip),b,6093,a)]. 6098 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(116,a,6093,a(flip),b,104,a)]. 6102 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6096(a,1),1410(a,1,1)),flip(a)]. 6104 T((x / y) * K(y \ 1,z),y) != u | y \ (x * K(y \ 1,z)) = u. [para(6097(a,1),383(a,1,1))]. 6105 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(5118(a,1),6097(a,1,1)),flip(a)]. 6106 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(122,a,6105,a)]. 6107 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(62,a,3396,a,b,6106,a)]. 6108 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(11(a,1),6107(a,1,2,2))]. 6109 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(62,a,5713,a(flip),b,6108,a)]. 6110 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(62,a,4483,a(flip),b,6109,a),flip(a)]. 6111 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(6109(a,1),5408(a,1,2)),flip(a)]. 6112 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(6110(a,1),5474(a,2,2))]. 6113 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(6110(a,2),5955(a,2,2))]. 6114 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [hyper(4973,a,6111,a)]. 6115 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(62,a,3081,a(flip),b,6111,a),flip(a)]. 6116 x * K(y,x * (y \ 1)) = y * (x / y). [para(3109(a,1),6115(a,1,2))]. 6117 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(33,a,5408,a,b,6116,a),flip(a)]. 6118 K(x,y * (1 / x)) = K(x,x \ y). [hyper(62,a,5708,a,b,6117,a)]. 6119 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6118(a,1),5370(a,1,2)),flip(a)]. 6120 K(x * (1 / y),y) = K(y \ x,y). [hyper(273,a,5370,a(flip),b,6119,a),flip(a)]. 6121 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(273,a,4474,a,b,6120,a)]. 6122 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [hyper(273,a,4472,a(flip),b,6120,a),flip(a)]. 6123 K(x * (y \ 1),y) = K(y \ x,y). [hyper(62,a,5671,a(flip),b,6120,a)]. 6124 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(74(a,1),6120(a,1,1,2)),flip(a)]. 6125 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(62,a,5402,a(flip),b,6123,a)]. 6126 K(x \ (y / (x \ 1)),x) = K(y,x). [para(12(a,1),6123(a,1,1)),flip(a)]. 6127 x * K(x * (y \ 1),y) = (y \ x) * y. [para(6123(a,2),260(a,1,2))]. 6128 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(273,a,5669,a(flip),b,6121,a),flip(a)]. 6129 K(T(x,1 / y) / y,y) = K(x / y,y). [para(1656(a,1),6122(a,1,1))]. 6130 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(77(a,1),6127(a,1,2,1,2)),flip(a)]. 6131 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(5668(a,1),6127(a,1,2)),flip(a)]. 6132 K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). [para(2653(a,1),6129(a,2,1))]. 6133 K(R(x,y,y \ 1),y) = K(x,y). [hyper(273,a,621,a(flip),b,6125,a),flip(a)]. 6134 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [hyper(5276,a,6133,a),flip(a)]. 6136 T(x,R(y,x,x \ 1)) = T(x,y). [hyper(5121,a,6134,a),flip(a)]. 6137 K(x,y) = ((y * x) * (y \ 1)) \ R(x,y,y \ 1). [hyper(273,a,3925,a,b,6134,a),flip(a)]. 6138 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(115,a,6136,a,b,5163,a(flip)),flip(a)]. 6139 K(x,R(y,x,x \ 1)) = K(x,y). [hyper(273,a,5111,a,b,6138,a)]. 6140 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(273,a,3908,a,b,6138,a),flip(a)]. 6141 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(62,a,4477,a(flip),b,6124,a),flip(a)]. 6142 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(6141(a,1),5222(a,1,1,2))]. 6143 (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). [para(6142(a,1),5574(a,1,1)),flip(a)]. 6144 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(62,a,5679,a(flip),b,6128,a),flip(a)]. 6145 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(10(a,1),6131(a,2,2,1))]. 6146 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(213,a,6143,a),flip(a)]. 6147 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6146(a,1),2029(a,1,2,1,1))]. 6148 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6146(a,2),2029(a,1,1))]. 6149 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(212,a,5479,a(flip),b,5482,a(flip)),flip(a)]. 6150 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(77(a,1),6149(a,2,1,1))]. 6151 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3109(a,1),6149(a,2,1))]. 6152 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2933(a,1),6150(a,1,1))]. 6153 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5624(a,1),5524(a,1,2)),flip(a)]. 6154 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(273,a,4368,a(flip),b,5544,a),flip(a)]. 6155 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(273,a,4369,a(flip),b,5545,a),flip(a)]. 6156 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3650(a,1),5632(a,1,2)),flip(a)]. 6157 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3788(a,1),5684(a,1,1,1,2))]. 6158 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(5921(a,1),5684(a,1,1,1)),flip(a)]. 6159 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5153(a,1),5691(a,1,1))]. 6160 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(62,a,4840,a(flip),b,6159,a),flip(a)]. 6161 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(77(a,1),6159(a,1,1,2)),flip(a)]. 6162 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3635(a,1),6159(a,1,1)),flip(a)]. 6163 L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 1). [para(3637(a,2),6159(a,1,1))]. 6164 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(6029(a,1),6159(a,1,1)),flip(a)]. 6165 R(x,L(K(x,y),z,u),w) = x. [para(6161(a,1),4412(a,1,2))]. 6166 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(6165(a,1),104(a,1,1)),flip(a)]. 6167 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(352(a,1),6162(a,1,2,1)),flip(a)]. 6168 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(6162(a,1),6159(a,1,1)),flip(a)]. 6169 L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). [hyper(273,a,3637,a,b,6163,a),flip(a)]. 6170 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(62,a,2513,a,b,6163,a)]. 6172 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5153(a,1),5692(a,1,1))]. 6173 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(62,a,5994,a(flip),b,6172,a)]. 6174 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(62,a,4160,a(flip),b,6172,a),flip(a)]. 6175 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(62,a,3828,a(flip),b,6172,a),flip(a)]. 6176 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(77(a,1),6172(a,1,1,2)),flip(a)]. 6177 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3635(a,1),6172(a,1,1)),flip(a)]. 6178 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5854(a,1),6172(a,1,1)),flip(a)]. 6179 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(31(a,1),6174(a,1,2,1))]. 6180 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(62,a,6001,a(flip),b,6176,a)]. 6181 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6180(a,1),5986(a,1,1,2,2))]. 6182 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6177(a,1),5163(a,2,2))]. 6183 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(62,a,5861,a(flip),b,6178,a),flip(a)]. 6184 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(489(a,1),6178(a,1,2,1)),flip(a)]. 6185 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(567(a,1),6178(a,1,2)),flip(a)]. 6186 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(12(a,1),6183(a,2,2,1))]. 6187 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(12(a,1),6183(a,2,2,2))]. 6188 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(74(a,1),6183(a,1,1,2)),flip(a)]. 6189 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5551(a,1),6187(a,1,1))]. 6190 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(102(a,2),6188(a,1,2))]. 6191 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(9(a,1),6190(a,1,2,2)),flip(a)]. 6192 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(167(a,1),6190(a,1,2,2)),flip(a)]. 6193 K(x,R(y,K(y,z) * (y \ u),w)) = R(K(x,y),K(y,z) * u,w). [para(5513(a,1),6190(a,1,2,2))]. 6194 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(62,a,5994,a(flip),b,6191,a)]. 6195 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(62,a,4160,a(flip),b,6191,a),flip(a)]. 6196 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6191(a,1),27(a,2,1))]. 6197 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6191(a,1),4590(a,1,1))]. 6198 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(62,a,4160,a(flip),b,6189,a),flip(a)]. 6200 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1257(a,1),6198(a,1,2)),flip(a)]. 6201 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(499(a,1),6179(a,1,2,1)),flip(a)]. 6202 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(74(a,1),6184(a,1,1,2)),flip(a)]. 6203 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(62,a,2096,a(flip),b,5697,a)]. 6204 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(10(a,1),5697(a,1,2,1))]. 6205 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5697(a,1),2123(a,1,1)),flip(a)]. 6207 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(5700(a,2),5480(a,1,2))]. 6209 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [hyper(116,a,5743,a(flip),b,4584,a)]. 6210 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(809(a,1),5769(a,1,2,2))]. 6211 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1196(a,1),5769(a,1,2,2))]. 6212 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5315(a,2),5769(a,2,2))]. 6213 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5386(a,1),5779(a,1,1,1)),flip(a)]. 6214 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3899(a,1),5877(a,1,2)),flip(a)]. 6215 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4962,a,5885,a),flip(a)]. 6217 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(27(a,2),5886(a,2,2))]. 6218 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5815,a,5896,a(flip)),flip(a)]. 6220 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5913,a,5937,a),flip(a)]. 6221 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6220(a,1),4487(a,1))]. 6222 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(5949(a,1),5929(a,1,2,2))]. 6223 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(128,a,5953,a),flip(a)]. 6224 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(62,a,5529,a(flip),b,5990,a),flip(a)]. 6225 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5476(a,1),5990(a,1,1))]. 6226 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(77(a,1),5992(a,1,2,2,1,2)),flip(a)]. 6227 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6177(a,1),6003(a,1,1)),flip(a)]. 6228 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(573,a,6227,a)]. 6229 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(503,a,6227,a)]. 6230 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(328,a,6227,a)]. 6231 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6227(a,2),125(a,1))]. 6232 R(K(x,y),z,u) \ w != v5 | R(K(y,x),z,u) * w = v5. [para(6229(a,1),290(a,1,1))]. 6233 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(233,a,6228,a)]. 6235 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(5087(a,1),6228(a,1,2,1))]. 6237 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(62,a,145,a(flip),b,6235,a),flip(a)]. 6238 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(131,a,6004,a)]. 6239 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5640,a,6005,a),flip(a)]. 6240 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(273,a,5954,a(flip),b,6044,a),flip(a)]. 6241 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(116,a,6092,a(flip),b,2543,a)]. 6242 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(273,a,4690,a(flip),b,6095,a),flip(a)]. 6243 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5048(a,1),6200(a,1,2,1))]. 6251 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6224(a,1),6238(a,1,2,2))]. 6252 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6251(a,1),1669(a,2,2,1))]. 6253 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(5281(a,1),2032(a,1,2))]. 6254 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(5178(a,1),5363(a,1,2,2))]. 6255 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5515(a,1),461(a,1,1))]. 6256 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(6232,a,5629,a)]. 6257 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3709(a,1),5782(a,1,1,1))]. 6258 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5112(a,1),5792(a,1,1))]. 6259 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(6258,a,xx),flip(a)]. 6260 K(L(1 / x,y,z) \ 1,u) = L(K(x,u),y,z). [para(77(a,1),6259(a,1,1,1)),flip(a)]. 6261 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(6259(a,1),94(a,1,2))]. 6262 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1345(a,1),6259(a,1,1)),flip(a)]. 6263 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(3107(a,2),6259(a,1,1))]. 6264 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3109(a,1),6259(a,1,1)),flip(a)]. 6265 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(6259(a,1),4722(a,1,1))]. 6266 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5368(a,1),6259(a,1,1,1)),flip(a)]. 6267 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6150(a,1),6259(a,1,1)),flip(a)]. 6268 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6151(a,1),6259(a,1,1)),flip(a)]. 6269 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [hyper(5794,a,6260,a)]. 6270 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(6260(a,1),5232(a,1,2,2))]. 6271 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [hyper(116,a,6270,a(flip),b,5534,a)]. 6272 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(273,a,3107,a,b,6263,a),flip(a)]. 6274 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6264(a,1),5368(a,1,1)),flip(a)]. 6275 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6264(a,1),5388(a,1,1)),flip(a)]. 6276 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(6264(a,1),5739(a,2,2,1))]. 6277 T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). [para(6264(a,1),5571(a,1,2)),flip(a)]. 6278 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(6269(a,1),5370(a,1,2)),flip(a)]. 6279 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(6061(a,1),6272(a,1,1)),flip(a)]. 6280 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(62,a,6162,a(flip),b,6274,a),flip(a)]. 6281 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(176,a,6280,a)]. 6282 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6280(a,1),331(a,1,2)),flip(b)]. 6283 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6281(a,1),290(a,1,1))]. 6285 K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). [hyper(273,a,6272,a(flip),b,6279,a),flip(a)]. 6286 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6268(a,1),5388(a,1,1)),flip(a)]. 6287 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6162(a,1),6275(a,1,1)),flip(a)]. 6288 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(328,a,6287,a)]. 6289 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(273,a,2232,a(flip),b,6287,a),flip(a)]. 6290 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6288(a,1),288(a,1,2))]. 6291 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(273,a,203,a(flip),b,5942,a),flip(a)]. 6292 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(5135(a,1),6291(a,1,1))]. 6294 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(5998(a,1),104(a,1,1))]. 6296 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5842(a,1),5998(a,1,1))]. 6297 R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). [para(9(a,1),6296(a,1,1,1))]. 6298 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6060(a,2),6062(a,2,2,2))]. 6299 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(62,a,6229,a,b,6233,a)]. 6300 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(115,a,4554,a(flip),b,6233,a(flip)),flip(a)]. 6301 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5762(a,1),6300(a,1,1))]. 6302 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(273,a,4764,a(flip),b,6257,a),flip(a)]. 6303 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(4758,a,6261,a),flip(a)]. 6304 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(6261(a,1),42(a,1)),flip(a)]. 6305 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(256(a,1),6261(a,1,2,1,1))]. 6306 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(62,a,1133,a,b,6303,a)]. 6308 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(131,a,6306,a)]. 6309 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(6308(a,1),2573(a,1,1))]. 6310 x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). [para(6297(a,1),3205(a,1,2))]. 6311 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1418(a,1),5079(a,1,1,1,2,1))]. 6312 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(5346(a,2),5243(a,1,2,1))]. 6313 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(5161(a,2),5266(a,1,2,1))]. 6314 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5134(a,1),6313(a,1,2,1)),flip(a)]. 6315 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(62,a,5137,a,b,5289,a)]. 6316 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1377,a,5314,a),flip(a)]. 6317 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(5329(a,1),871(a,1,1,1))]. 6318 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5351(a,1),5353(a,1,2)),flip(a)]. 6319 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1319(a,1),6318(a,2,2))]. 6320 K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(6139(a,1),5364(a,1,1))]. 6321 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [hyper(5427,a,6320,a)]. 6322 (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). [para(822(a,1),5661(a,1,1,2))]. 6323 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5502(a,1),5661(a,1,1,2)),flip(a)]. 6324 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(23(a,1),5768(a,1,1))]. 6325 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1624(a,1),5840(a,1,1))]. 6326 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(547(a,1),6002(a,1,1,1)),flip(a)]. 6327 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5476(a,2),6052(a,1,2))]. 6328 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5884(a,1),6052(a,1,2)),flip(a)]. 6329 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3109(a,1),6090(a,2,1))]. 6331 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(9(a,1),6329(a,1,2,2)),flip(a)]. 6332 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(22(a,2),6329(a,1,2,2))]. 6334 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(108(a,1),6331(a,2,2))]. 6335 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6331(a,2),226(a,1,2))]. 6337 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5609,a,6335,a),flip(a)]. 6338 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5387(a,1),6337(a,1,1)),flip(a)]. 6340 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4288(a,1),6154(a,1,2))]. 6341 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4288(a,1),6155(a,1,2))]. 6342 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(77(a,1),6207(a,2,1,1))]. 6343 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(9(a,1),6342(a,1,2,2)),flip(a)]. 6345 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(116,a,6343,a,b,xx)]. 6346 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(115,a,6343,a,b,108,a)]. 6349 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(273,a,5880,a(flip),b,6214,a),flip(a)]. 6350 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2722(a,1),6222(a,1,2,2,1)),flip(a)]. 6351 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(316,a,6225,a)]. 6352 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [hyper(62,a,5689,a(flip),b,6226,a)]. 6353 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2630(a,1),6242(a,1,2)),flip(a)]. 6358 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(380,a,6312,a)]. 6359 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5401(a,1),6316(a,1,2)),flip(a)]. 6360 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(273,a,5308,a(flip),b,6359,a),flip(a)]. 6361 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(10(a,1),6360(a,1,1,1)),flip(a)]. 6362 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(5444,a,6323,a)]. 6364 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(122,a,6327,a)]. 6365 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6327(a,1),42(a,1))]. 6366 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6328(a,2),42(a,1))]. 6367 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(10(a,1),6352(a,2,2,2,1))]. 6368 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1062(a,1),6362(a,1,1,2))]. 6369 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5423,a,6368,a),flip(a)]. 6370 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5387(a,1),6368(a,1,2,2)),flip(a)]. 6371 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(115,a,69,a(flip),b,6369,a),flip(a)]. 6372 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(115,a,6371,a,b,1206,a)]. 6373 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6364(a,1),4916(a,1,1))]. 6374 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(9(a,1),6373(a,1,1,2,1)),flip(a)]. 6375 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6374(a,2),43(a,1))]. 6377 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5387(a,1),5603(a,1,2,2)),flip(a)]. 6378 K(L(x,y,x),y) = K(x,y). [hyper(5637,a,5307,a)]. 6379 K(T(x,x * y),y) = K(x,y). [hyper(62,a,5399,a,b,6378,a)]. 6380 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5802,a,6131,a)]. 6381 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(108(a,1),5914(a,1,2)),flip(a)]. 6382 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(273,a,3228,a(flip),b,6381,a)]. 6383 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5029(a,2),6205(a,1,2))]. 6384 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(273,a,334,a(flip),b,6262,a),flip(a)]. 6386 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1015(a,1),6384(a,1,2))]. 6387 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(55,a,6386,a)]. 6388 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(53,a,6387,a)]. 6389 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1017(a,2),6388(a,1,1))]. 6390 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6389(a,1),4185(a,1,2)),flip(a)]. 6391 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(273,a,2469,a(flip),b,6390,a),flip(a)]. 6392 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1017(a,1),6391(a,1,1))]. 6393 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4304(a,1),6361(a,1,1)),flip(a)]. 6394 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(273,a,4088,a(flip),b,6393,a),flip(a)]. 6395 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(34,a,5335,a,b,6394,a),flip(a)]. 6396 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(273,a,5417,a,b,6395,a),flip(a)]. 6397 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4320(a,1),6396(a,1,2))]. 6398 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(171,a,6397,a)]. 6399 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5417(a,1),6398(a,1,1))]. 6400 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5135(a,2),6399(a,1,1,2))]. 6401 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(255,a,6383,a)]. 6402 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3965(a,1),6401(a,1,2)),flip(a)]. 6409 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3635(a,1),6402(a,1,1,2))]. 6411 (x * K(y,z)) * y = x * T(y,z). [para(3127(a,1),6409(a,2,2))]. 6412 R(x,K(y,z),y) = x. [hyper(5262,a,6411,a)]. 6413 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(273,a,3210,a,b,6411,a),flip(a)]. 6415 x * T(y * K(x,z),x) = y * T(x,z). [hyper(253,a,6411,a)]. 6416 T(x * K(y,z),y) = y \ (x * T(y,z)). [hyper(212,a,6411,a,b,10,a)]. 6417 (x * T(y,z)) / y = x * K(y,z). [hyper(128,a,6411,a)]. 6418 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(122,a,6411,a)]. 6419 (1 / x) * K(x,y) = K(x,y) / x. [hyper(116,a,5155,a,b,6411,a),flip(a)]. 6421 (x / T(y,z)) * K(y,z) = x / y. [hyper(116,a,12,a(flip),b,6411,a),flip(a)]. 6422 ((x * y) * K(L(z,y,x),u)) \ (x * (y * T(z,u))) = L(z,y,x). [hyper(115,a,447,a(flip),b,6411,a)]. 6424 (x / y) * T(y,z) = x * K(y,z). [hyper(34,a,1434,a,b,6411,a)]. 6425 (x * y) * K(y,z) = x * T(y,z). [hyper(34,a,1430,a,b,6411,a),flip(a)]. 6426 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(34,a,6088,a(flip),b,6411,a),flip(a)]. 6428 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6411(a,1),14(a,2,1,2)),flip(a)]. 6429 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y * K(z,u),x). [para(6411(a,1),18(a,2,2,2)),flip(a)]. 6430 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6411(a,1),192(a,2,1))]. 6435 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5129(a,1),6411(a,1,1))]. 6436 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6411(a,1),5810(a,1,2,1))]. 6439 R(x,R(K(y,z),u,w),y) = x. [para(6176(a,1),6412(a,1,2))]. 6440 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6439(a,1),104(a,1,1)),flip(a)]. 6441 x / y != z * K(y,u) | z * T(y,u) = x. [para(6417(a,1),45(a,1)),flip(a)]. 6443 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6417(a,1),383(a,1,1))]. 6444 L(x,K(x,y),z) = x. [hyper(5261,a,6418,a)]. 6445 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(62,a,6053,a(flip),b,6444,a)]. 6446 L(T(x,y),K(x,z),u) = T(x,y). [para(6444(a,1),25(a,2,1))]. 6447 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6444(a,1),449(a,1,2,1))]. 6451 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6446(a,1),30(a,1,1)),flip(a)]. 6452 (x * K(y,z)) * L(T(y,u),w,v5) = x * (K(y,z) * L(T(y,u),w,v5)). [para(6446(a,1),449(a,1,2,1))]. 6454 (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. [para(4623(a,1),6421(a,1,1))]. 6455 x * T(x \ y,z) = y * K(x \ y,z). [hyper(525,a,6424,a)]. 6457 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(122,a,6424,a)]. 6460 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(116,a,6424,a(flip),b,6411,a)]. 6462 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6424(a,1),875(a,1,2,1))]. 6464 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(6073,a,6425,a)]. 6467 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(212,a,6425,a,b,10,a),flip(a)]. 6468 (x * T(y,z)) / K(y,z) = x * y. [hyper(128,a,6425,a)]. 6469 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(122,a,6425,a)]. 6470 (x * y) / K(y,x) = T(x,y) * y. [hyper(116,a,4238,a(flip),b,6425,a)]. 6471 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(115,a,12,a(flip),b,6425,a)]. 6474 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(6425(a,2),42(a,1))]. 6476 (x * y) \ (x * T(y,z)) != u | K(y,z) = u. [para(6425(a,1),288(a,1,2))]. 6478 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6425(a,1),524(a,1))]. 6480 (x * y) * K(y,z) = x * (y * K(y,z)). [para(5163(a,1),6425(a,2,2))]. 6481 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(122,a,6426,a),flip(a)]. 6482 x * K(y,z) != y \ z | y \ T(z,y) = x. [para(6426(a,1),43(a,1)),flip(a)]. 6483 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6457(a,1),5916(a,1,2))]. 6484 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(115,a,6464,a(flip),b,5112,a),flip(a)]. 6485 K((x \ y) \ 1,z) = K(y \ x,z). [para(10(a,1),6464(a,1,1,1,1))]. 6486 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6464(a,1),5246(a,1,2))]. 6487 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6468(a,1),222(a,1,1))]. 6491 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(5182(a,1),6469(a,1,1))]. 6492 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(273,a,5677,a(flip),b,6485,a),flip(a)]. 6493 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(273,a,2307,a(flip),b,6485,a),flip(a)]. 6494 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(62,a,5877,a,b,6485,a)]. 6495 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(62,a,6349,a(flip),b,6485,a)]. 6497 K((x * y) \ x,z) = K(y \ 1,z). [para(9(a,1),6485(a,1,1,1)),flip(a)]. 6498 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(22(a,2),6485(a,1,1,1))]. 6502 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(6485(a,1),5368(a,1,1)),flip(a)]. 6503 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5388(a,1),6485(a,1,1,1))]. 6504 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6485(a,1),5147(a,1,1))]. 6505 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6485(a,1),5883(a,2,2))]. 6506 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6485(a,1),6039(a,1,2,2))]. 6507 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6485(a,1),6114(a,2,2))]. 6508 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6485(a,1),5886(a,1,2))]. 6509 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6485(a,1),6215(a,1,2))]. 6513 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(192(a,2),6497(a,1,1))]. 6514 T(K(x \ 1,x) * K(y,x),y) = y \ T(y * K(x \ 1,x),x). [hyper(115,a,3040,a,b,6415,a),flip(a)]. 6516 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(6415(a,1),252(a,1))]. 6519 (x * y) / (y * K(z,y)) = x * K(y,z). [hyper(176,a,6445,a)]. 6520 x / (y * K(z,y)) = (x / y) * K(y,z). [para(6445(a,1),276(a,1,2))]. 6521 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). [para(6445(a,1),1935(a,1,2,2,1,2)),flip(a)]. 6522 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6445(a,1),1357(a,1,1)),flip(a)]. 6523 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5893,a,6455,a),flip(a)]. 6524 T(K(x / y,z),x) = K(y \ x,z). [hyper(5663,a,6455,a)]. 6525 K(x / y,z) * x = x * K(y \ x,z). [hyper(62,a,5139,a,b,6455,a)]. 6527 K((x \ 1) \ (x \ y),z) = (x \ y) \ (x \ T(y,z)). [hyper(115,a,878,a(flip),b,6455,a(flip)),flip(a)]. 6530 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6455(a,2),288(a,1,2))]. 6532 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6455(a,2),95(a,1,2,2)),flip(a)]. 6534 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(6455(a,2),3228(a,1,2,1)),flip(a)]. 6535 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6455(a,2),3226(a,1,1,1)),flip(a)]. 6536 K((x \ y) \ y,y) = K(x,y). [hyper(273,a,3201,a(flip),b,6523,a),flip(a)]. 6538 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(6523(a,2),180(a,1)),flip(b)]. 6539 K(x / y,x) = K(y \ x,x). [para(77(a,1),6536(a,1,1,1)),flip(a)]. 6540 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [para(6536(a,1),86(a,1,2))]. 6541 K((x / y) \ 1,y) = K(x \ y,y). [hyper(5847,a,6539,a)]. 6542 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(62,a,5184,a,b,6539,a)]. 6543 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(62,a,3253,a(flip),b,6524,a)]. 6544 K(((x * y) / x) \ 1,x) = K(y \ 1,x). [hyper(273,a,6497,a(flip),b,6541,a),flip(a)]. 6547 R(x,y,K(y,z)) = x. [hyper(478,a,6480,a)]. 6548 L(K(x,y),x,z) = K(x,y). [hyper(450,a,6480,a)]. 6549 R(x,y,K(y,z)) != u | u = x. [para(6547(a,1),50(a,1)),flip(a)]. 6550 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(6547(a,1),2448(a,1,1,1))]. 6554 L(K(x,y),x,z) = L(K(x,y),x,u). [hyper(273,a,6548,a,b,6548,a)]. 6555 R(K(x,y),x,z) = L(K(x,y),x,u). [hyper(273,a,4160,a,b,6548,a)]. 6556 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6548(a,1),29(a,1,1)),flip(a)]. 6557 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(6548(a,1),447(a,1,2,1))]. 6558 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6548(a,1),513(a,1,2,1))]. 6559 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(6548(a,1),1117(a,1,2,2)),flip(a)]. 6562 L(K(x,y),x,z) != u | K(x,y) = u. [para(6554(a,1),3803(a,1)),flip(b)]. 6563 R(K(x,y),x,z) != u | K(x,y) = u. [para(6555(a,2),3803(a,1)),flip(b)]. 6566 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6189(a,1),6563(a,1))]. 6567 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(62,a,6151,a(flip),b,6498,a),flip(a)]. 6568 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(62,a,3429,a(flip),b,6498,a),flip(a)]. 6569 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(273,a,5368,a(flip),b,6502,a),flip(a)]. 6570 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6502(a,2),5392(a,1))]. 6571 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5873,a,6569,a)]. 6574 K(x,((y * z) \ y) \ 1) = K(x,z). [para(9(a,1),6569(a,2,2))]. 6575 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(14(a,2),6569(a,1,2,1)),flip(a)]. 6577 K(x,y \ (y / z)) = K(x,z \ 1). [para(77(a,1),6569(a,1,2,1)),flip(a)]. 6578 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(405(a,1),6569(a,1,2,1)),flip(a)]. 6579 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(641(a,1),6569(a,1,2,1)),flip(a)]. 6580 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(933(a,1),6569(a,1,2,1))]. 6582 T(x \ y,K(z,y \ x)) = x \ y. [para(6569(a,1),2140(a,1,2))]. 6584 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5388(a,1),6569(a,1,2,1))]. 6585 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6569(a,1),5698(a,1,2))]. 6586 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6569(a,1),6035(a,2,2))]. 6587 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6569(a,1),6172(a,1,1)),flip(a)]. 6588 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6569(a,1),6145(a,2,2))]. 6589 K(x,1 / (y \ x)) = K(x,y / x). [hyper(273,a,5357,a,b,6571,a),flip(a)]. 6590 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(18(a,2),6571(a,1,2,2)),flip(a)]. 6591 K(x,y \ (y / z)) = K(x,1 / z). [para(77(a,1),6571(a,1,2,2)),flip(a)]. 6592 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6571(a,1),6130(a,2,2))]. 6593 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(62,a,6124,a,b,6574,a)]. 6594 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(273,a,5858,a,b,6577,a),flip(a)]. 6596 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(6582(a,1),108(a,1,2))]. 6597 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(6591(a,1),5408(a,1,2))]. 6598 (x * y) / ((z * y) / z) = x * K(y,z). [para(5135(a,2),6519(a,1,2))]. 6600 x / ((y * z) / y) = (x / z) * K(z,y). [para(5135(a,2),6520(a,1,2))]. 6601 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5176(a,1),6520(a,1,2)),flip(a)]. 6602 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(5208(a,2),6520(a,1,2))]. 6604 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(104(a,1),6568(a,1,1,1))]. 6605 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(5871(a,2),6594(a,2,2))]. 6606 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(62,a,5330,a(flip),b,6598,a)]. 6607 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(62,a,1600,a(flip),b,6598,a)]. 6610 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(5063(a,2),6606(a,1,1,2))]. 6612 (x * ((y * z) / y)) * K(z,y) = x * z. [para(11(a,1),6607(a,1,1)),flip(a)]. 6613 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(10(a,1),6612(a,1,1,2,1))]. 6615 K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. [para(5132(a,1),6474(a,1,1)),flip(a)]. 6616 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(5687(a,1),6474(a,1))]. 6619 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(5132(a,1),6487(a,1,1))]. 6620 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(5268(a,2),6487(a,1,1))]. 6623 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [para(6556(a,1),438(a,1,2)),flip(a)]. 6624 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(22(a,2),6570(a,1,2,1))]. 6625 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(96(a,2),6570(a,1,2,1))]. 6627 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3637(a,2),6570(a,1))]. 6628 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5388(a,1),6570(a,1,2,1))]. 6629 K(x,1 / y) != z | K(x,y \ 1) = z. [para(64(a,1),6627(a,1,2,2))]. 6633 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5862(a,2),6629(a,1))]. 6634 K(x,(y \ z) / z) != u | K(x,y \ 1) = u. [para(10(a,1),6633(a,1,2,2))]. 6635 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(3482(a,1),6413(a,1,1)),flip(a)]. 6636 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(62,a,5541,a(flip),b,6467,a),flip(a)]. 6637 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(12(a,1),6636(a,1,1)),flip(a)]. 6638 T(x / y,T(y,z)) = y \ T(x,K(y,z)). [hyper(122,a,6637,a),flip(a)]. 6640 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6503(a,1),6149(a,2,1))]. 6641 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4950,a,6505,a)]. 6642 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(6505(a,1),1951(a,2,2,1))]. 6643 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6505(a,1),4918(a,1,1))]. 6644 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(5138(a,2),6584(a,1,2,1))]. 6645 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(273,a,2097,a(flip),b,6585,a)]. 6646 K(x,y / z) * y = y * K(x,z \ y). [para(5854(a,1),6586(a,1,1))]. 6647 T(K(x,y / z),y) = K(x,z \ y). [hyper(212,a,6646,a,b,xx)]. 6650 K(x,(y \ z) \ z) = T(K(x,y),z). [para(74(a,1),6647(a,1,1,2)),flip(a)]. 6652 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(6647(a,1),4350(a,1,2))]. 6654 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(6650(a,2),180(a,1)),flip(b)]. 6655 K(x,T(y,y \ z)) = T(K(x,y),z). [para(109(a,2),6650(a,1,2))]. 6656 T(K(x,y),z * y) = K(x,T(y,z)). [para(4245(a,2),6650(a,1,2)),flip(a)]. 6657 T(K(x,y),y * z) = K(x,T(y,z)). [para(9(a,1),6655(a,1,2,2)),flip(a)]. 6658 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(273,a,6656,a,b,6657,a)]. 6659 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6657(a,1),108(a,1,2))]. 6660 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(2072(a,2),6654(a,1,2))]. 6661 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2299(a,2),6654(a,1,2))]. 6663 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6658(a,2),5389(a,1,1))]. 6664 T(x,(x / y) / x) = T(x,1 / y). [hyper(212,a,6597,a(flip),b,6424,a)]. 6666 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [hyper(273,a,3003,a,b,6602,a)]. 6669 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(6613(a,1),43(a,1)),flip(a)]. 6670 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(273,a,5536,a(flip),b,6659,a),flip(a)]. 6671 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3203(a,1),6659(a,1,2,2)),flip(a)]. 6672 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6666(a,1),4837(a,1,1)),flip(a)]. 6674 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(6504,a,5126,a(flip))]. 6677 T(x,(y * z) \ y) = T(x,z \ 1). [para(9(a,1),6674(a,1,2,1)),flip(a)]. 6679 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(22(a,2),6674(a,1,2,1))]. 6681 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(6674(a,1),108(a,1,2))]. 6682 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6674(a,1),3162(a,1,2))]. 6683 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(6674(a,1),3324(a,1,1))]. 6685 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(394,a,6677,a),flip(a)]. 6688 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6679(a,2),236(a,1,2))]. 6689 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(273,a,353,a,b,6685,a)]. 6690 L(x \ 1,x,y) \ y = T(y * x,1 / x). [hyper(273,a,3126,a,b,6689,a),flip(a)]. 6691 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(176,a,6689,a)]. 6692 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4963(a,1),6691(a,1,2))]. 6693 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(809(a,1),6530(a,1,2))]. 6694 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1142(a,1),6530(a,1,2))]. 6696 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5471(a,1),6530(a,1))]. 6697 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(22(a,2),6696(a,1,1,1))]. 6698 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(5388(a,1),6696(a,1,1,1))]. 6701 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(192(a,2),6484(a,1,1,1))]. 6706 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(5058(a,1),6494(a,1,2))]. 6707 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6696,a,6495,a),flip(a)]. 6708 x * K((y \ 1) \ (y \ z),u) != y \ T(z,u) | y \ z = x. [para(6508(a,1),43(a,1)),flip(a)]. 6709 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6508(a,1),4113(a,1,2,2)),flip(a)]. 6710 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6527(a,2),225(a,1,2))]. 6711 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [hyper(273,a,4116,a(flip),b,6540,a),flip(a)]. 6712 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(6557(a,1),5380(a,1,2))]. 6713 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [hyper(62,a,5588,a,b,6558,a)]. 6714 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(6558(a,1),5089(a,1,1,1)),flip(a)]. 6715 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(6596(a,1),5198(a,1,2))]. 6716 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(34,a,4503,a,b,6635,a)]. 6717 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(5116(a,2),6716(a,1,2))]. 6718 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(6717(a,1),27(a,2,1))]. 6719 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(6718(a,1),392(a,1,1))]. 6720 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(109(a,1),6719(a,1,1,1))]. 6721 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5682(a,1),6641(a,2,2))]. 6722 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(5182(a,2),6645(a,1,1))]. 6723 K(x,x * (y / x)) = K(x,y). [hyper(4388,a,6711,a)]. 6724 K(x,y * x) = K(x,x * y). [para(11(a,1),6723(a,1,2,2)),flip(a)]. 6725 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4892(a,2),6723(a,1,2))]. 6726 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4904(a,1),6723(a,1,2))]. 6727 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(83(a,1),6724(a,2,2))]. 6728 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(11(a,1),6725(a,1,2,1,2)),flip(a)]. 6730 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(4209(a,2),6726(a,2,2))]. 6731 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(273,a,622,a(flip),b,6542,a)]. 6733 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(391(a,2),6590(a,1,2))]. 6736 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1345(a,1),6701(a,2,2))]. 6737 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3147(a,1),6440(a,2,2))]. 6738 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2248(a,2),6579(a,1,2))]. 6739 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(62,a,6644,a(flip),b,6580,a),flip(a)]. 6740 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(10(a,1),6739(a,1,2,1)),flip(a)]. 6741 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(273,a,5408,a(flip),b,6588,a),flip(a)]. 6743 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5221(a,1),6640(a,1,1,1)),flip(a)]. 6744 K(x \ K(x,y),x) = K(x \ 1,x). [hyper(2987,a,6743,a),flip(a)]. 6745 T(x,y) != K(z \ 1,u) | K(z \ K(z,y),u) = x. [para(6743(a,1),48(a,1)),flip(a)]. 6746 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6743(a,1),108(a,1,2)),flip(a)]. 6747 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(6744(a,1),260(a,1,2))]. 6749 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(2644,a,6747,a)]. 6755 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6672(a,1),5718(a,1,2))]. 6756 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(9(a,1),6682(a,1,2,2))]. 6757 L(x \ 1,x,y * K(x,z)) = L(x \ 1,T(x,z),y). [hyper(273,a,5348,a(flip),b,6430,a),flip(a)]. 6760 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(465(a,2),6575(a,1,2))]. 6761 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(6616,a,6328,a)]. 6764 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6761(a,2),4757(a,1,2))]. 6766 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(77(a,1),6692(a,1,2,2)),flip(a)]. 6767 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6694,a,6706,a),flip(a)]. 6768 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6706(a,1),6694(a,1))]. 6771 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(5652(a,1),6514(a,1,1)),flip(a)]. 6772 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(273,a,3088,a(flip),b,6683,a),flip(a)]. 6773 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(273,a,6586,a,b,6722,a),flip(a)]. 6774 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(64(a,1),6756(a,2,2))]. 6775 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(348,a,6774,a),flip(a)]. 6776 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(33,a,216,a(flip),b,6774,a),flip(a)]. 6777 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(273,a,6741,a(flip),b,6772,a),flip(a)]. 6778 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(592(a,1),6777(a,1,1))]. 6779 T(x,y / x) / (y \ x) = x * (y / x). [para(4230(a,2),6777(a,1,1))]. 6780 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(273,a,6597,a,b,6779,a),flip(a)]. 6781 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(273,a,4488,a(flip),b,6778,a),flip(a)]. 6782 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(385,a,6781,a)]. 6783 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(9(a,1),6782(a,1,3)),flip(a)]. 6784 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(62,a,3914,a(flip),b,6783,a)]. 6785 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(6784(a,1),1343(a,1,1,2))]. 6786 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(2030,a,6785,a)]. 6787 (x * y) \ T(x,y) = (y * x) \ x. [hyper(62,a,4656,a(flip),b,6786,a)]. 6788 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(297,a,6787,a),flip(a)]. 6789 T(x,y) = (x * y) * ((y * x) \ x). [hyper(131,a,6787,a),flip(a)]. 6790 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(230(a,1),6787(a,1,1))]. 6791 (x / y) \ T(x,y \ 1) = ((x \ (x / y)) * x) \ x. [para(5103(a,1),6788(a,2,2)),flip(a)]. 6792 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6664(a,1),6780(a,1,1))]. 6793 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(77(a,1),6792(a,1,2)),flip(a)]. 6795 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4473(a,1),5077(a,2,2))]. 6796 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(62,a,1187,a(flip),b,5576,a),flip(a)]. 6797 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1549(a,2),6796(a,2,2))]. 6798 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6133(a,1),5590(a,1,1))]. 6799 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5361(a,1),5654(a,2,2))]. 6800 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5386(a,1),6799(a,1,2))]. 6801 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(6800(a,1),209(a,1,2,1))]. 6802 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6345(a,1),5839(a,2,1,1))]. 6803 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(62,a,5938,a(flip),b,5881,a),flip(a)]. 6804 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(273,a,6485,a(flip),b,6803,a),flip(a)]. 6805 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6696,a,6804,a)]. 6806 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6805(a,1),5370(a,1,2)),flip(a)]. 6807 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(10(a,1),6023(a,1,1,2,2,1))]. 6808 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(273,a,5854,a(flip),b,6807,a),flip(a)]. 6809 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6807(a,2),5855(a,1))]. 6810 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6808(a,1),492(a,1,1))]. 6811 K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). [hyper(62,a,5934,a(flip),b,6042,a),flip(a)]. 6812 K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). [hyper(6696,a,6811,a)]. 6813 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). [para(27(a,2),6812(a,1,2))]. 6814 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6195(a,1),6192(a,1,1))]. 6815 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5697(a,1),6203(a,1,1))]. 6818 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3635(a,1),6815(a,2,2))]. 6819 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3635(a,1),6818(a,1,1,2))]. 6820 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(4958(a,1),6211(a,1,2,2))]. 6821 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(62,a,6798,a(flip),b,6265,a)]. 6822 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1130(a,1),6821(a,1,2,1))]. 6823 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(171,a,6822,a),flip(a)]. 6824 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(316,a,6823,a)]. 6825 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(122,a,6823,a)]. 6826 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(6823(a,1),4974(a,1,2)),flip(a)]. 6827 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(6162(a,1),6276(a,1,1))]. 6828 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(6164(a,1),6286(a,1,1)),flip(a)]. 6829 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2712(a,1),6828(a,1,1)),flip(a)]. 6830 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2712(a,1),6829(a,1,1)),flip(a)]. 6831 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(33,a,6261,a,b,6298,a)]. 6832 K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). [para(256(a,1),6831(a,1,1,1))]. 6833 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6831(a,1),3021(a,1,1))]. 6834 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6831(a,1),3115(a,1,1))]. 6835 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(5110(a,2),6319(a,1,2)),flip(a)]. 6836 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(273,a,5192,a(flip),b,6835,a),flip(a)]. 6837 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(4830(a,1),6836(a,1,2))]. 6838 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [hyper(171,a,6837,a)]. 6839 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4160(a,1),6326(a,1,1)),flip(a)]. 6840 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5977,a,6839,a)]. 6842 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(77(a,1),6840(a,1,1,2,1)),flip(a)]. 6843 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(102(a,2),6840(a,1,1))]. 6844 K(R(x,x \ 1,y),z) = K(x,z). [hyper(273,a,341,a(flip),b,6843,a),flip(a)]. 6845 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(9(a,1),6843(a,1,1,2)),flip(a)]. 6846 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6843(a,2),104(a,1,1))]. 6847 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(5506(a,1),6843(a,1,1,2)),flip(a)]. 6848 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5513(a,1),6843(a,1,1,2))]. 6849 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(273,a,6078,a(flip),b,6844,a),flip(a)]. 6850 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(62,a,3828,a(flip),b,6845,a),flip(a)]. 6851 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6845(a,1),31(a,1,1)),flip(a)]. 6852 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(62,a,3764,a,b,6850,a)]. 6853 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(115,a,6850,a(flip),b,3764,a)]. 6855 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(33,a,3832,a,b,6852,a)]. 6856 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(6853(a,1),5244(a,1,2)),flip(a)]. 6857 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(122,a,6855,a)]. 6859 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(62,a,4988,a(flip),b,6857,a)]. 6860 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(12(a,1),6842(a,2,1,1))]. 6861 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(12(a,1),6842(a,2,1,2))]. 6862 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [hyper(62,a,4833,a,b,6856,a)]. 6863 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(6539(a,1),6860(a,1,1))]. 6864 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6175(a,2),6862(a,1,2))]. 6865 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(4479,a,6864,a)]. 6866 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(129,a,6865,a)]. 6867 x / R(x,y,z) = R(x,y,z) \ x. [hyper(62,a,1364,a(flip),b,6866,a)]. 6868 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(129,a,6867,a)]. 6869 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6867(a,1),6183(a,1,1,2))]. 6870 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6868(a,1),4896(a,1,1,1))]. 6871 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5267,a,6870,a)]. 6872 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(697,a,6346,a)]. 6873 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(108(a,1),6872(a,2,2))]. 6874 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6872(a,1),6267(a,1,1,1)),flip(a)]. 6875 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(273,a,6150,a(flip),b,6874,a),flip(a)]. 6876 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6875(a,1),680(a,1,2,1)),flip(a)]. 6877 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(690,a,6773,a)]. 6878 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(62,a,6237,a(flip),b,6877,a)]. 6879 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4944(a,1),6878(a,1,2))]. 6880 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(273,a,5854,a(flip),b,6879,a),flip(a)]. 6881 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(62,a,6038,a(flip),b,6880,a)]. 6882 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(62,a,5315,a,b,5326,a)]. 6883 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5326(a,1),704(a,2,1)),flip(a)]. 6884 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5326(a,1),871(a,1,1,1))]. 6885 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5738,a,6883,a)]. 6887 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5571(a,1),6883(a,1,1))]. 6888 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6882(a,1),1367(a,1,1,2)),flip(a)]. 6889 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5328(a,1),871(a,1,1,1))]. 6890 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(822(a,1),5483(a,1,2))]. 6891 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(764(a,2),5582(a,1,2,2,1))]. 6892 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5819(a,1),5820(a,1,1,1))]. 6893 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(62,a,5835,a(flip),b,6067,a),flip(a)]. 6895 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1548(a,1),6098(a,1,2))]. 6896 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(9(a,1),6317(a,2,1,1))]. 6897 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2793(a,1),6350(a,1,2,2,1)),flip(a)]. 6898 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5825(a,1),6897(a,1,2,2,1)),flip(a)]. 6899 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [hyper(6693,a,6532,a(flip)),flip(a)]. 6900 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6532(a,2),6693(a,1))]. 6901 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(62,a,3740,a(flip),b,6899,a),flip(a)]. 6902 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6899(a,1),437(a,1,2)),flip(a)]. 6903 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6767(a,1),6899(a,1,1))]. 6905 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(62,a,5303,a,b,6901,a)]. 6906 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6905(a,1),5019(a,2,1))]. 6907 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(260(a,1),6902(a,1,2)),flip(a)]. 6908 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(33,a,6509,a,b,6907,a),flip(a)]. 6910 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6906(a,1),6038(a,1,2)),flip(a)]. 6911 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(273,a,5419,a(flip),b,6910,a),flip(a)]. 6913 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(62,a,6881,a(flip),b,6911,a)]. 6914 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(6900,a,6903,a),flip(a)]. 6915 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(10(a,1),6914(a,2,1,1))]. 6916 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(74(a,1),6915(a,1,1,1,2))]. 6917 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(273,a,5879,a(flip),b,6534,a),flip(a)]. 6918 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3958(a,1),6766(a,2,2))]. 6919 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(62,a,3963,a(flip),b,6918,a),flip(a)]. 6920 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3127(a,1),6919(a,1,2,2)),flip(a)]. 6921 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3127(a,1),6920(a,1,1,1)),flip(a)]. 6922 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(171,a,6921,a)]. 6923 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(110(a,1),6922(a,1,1,1,1))]. 6924 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(110(a,1),6923(a,2,2))]. 6925 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(62,a,6845,a(flip),b,6814,a),flip(a)]. 6926 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6925(a,1),5419(a,1,2,1)),flip(a)]. 6927 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(273,a,108,a(flip),b,6834,a),flip(a)]. 6930 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2014(a,1),6891(a,1,2))]. 6932 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6895(a,1),482(a,1))]. 6934 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6926(a,2),5426(a,1))]. 6935 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2307(a,1),5038(a,1,1,2))]. 6936 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(33,a,5819,a,b,6935,a(flip))]. 6938 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(456(a,1),6936(a,1,2)),flip(a)]. 6939 K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). [para(457(a,1),6936(a,1,2)),flip(a)]. 6940 L(x,y,K(z \ (u \ 1),u * z)) = x. [para(6938(a,1),3789(a,1,3))]. 6941 K(x \ (y \ 1),y * x) * (1 / z) = K(x \ (y \ 1),y * x) / z. [para(6940(a,1),386(a,1,2)),flip(a)]. 6942 K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). [para(14(a,2),6939(a,2,2))]. 6943 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(5117(a,2),5191(a,2,2,1,1))]. 6944 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(115,a,5203,a(flip),b,5141,a),flip(a)]. 6945 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(6126(a,1),5325(a,2,2))]. 6946 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(6945(a,1),1604(a,2,1,2))]. 6948 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3635(a,1),5750(a,1,2,2))]. 6949 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5404(a,1),5787(a,1,1))]. 6950 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(6153(a,1),6037(a,1,2,2,2))]. 6951 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(33,a,1804,a(flip),b,6170,a),flip(a)]. 6952 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(62,a,2475,a,b,6951,a)]. 6953 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(176,a,6952,a),flip(a)]. 6954 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(74(a,1),6952(a,1,1,1,2)),flip(a)]. 6955 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(74(a,1),6953(a,1,1,2)),flip(a)]. 6956 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(256(a,1),6953(a,2,2,2))]. 6957 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(455(a,1),6953(a,2,2,2))]. 6958 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(6953(a,1),219(a,1,1))]. 6959 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [hyper(171,a,6954,a)]. 6960 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(6955(a,1),6953(a,1,1)),flip(a)]. 6961 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(74(a,1),6959(a,1,1,1,1)),flip(a)]. 6963 L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. [para(455(a,1),6961(a,2,1,1))]. 6964 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(457(a,1),6961(a,2,1,1))]. 6966 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(6961(a,2),6833(a,2,2))]. 6967 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(77(a,1),6958(a,2,1))]. 6968 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(6967(a,1),23(a,1,1)),flip(a)]. 6969 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(6956(a,1),94(a,1,2))]. 6970 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [hyper(115,a,6957,a(flip),b,228,a)]. 6971 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(115,a,6963,a(flip),b,228,a)]. 6972 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(6960(a,1),3638(a,1,2))]. 6973 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(273,a,2660,a,b,6971,a),flip(a)]. 6974 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(273,a,6733,a(flip),b,6972,a),flip(a)]. 6976 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2299(a,2),6964(a,1,1))]. 6977 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(62,a,6927,a(flip),b,6966,a),flip(a)]. 6978 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(171,a,6977,a)]. 6979 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(62,a,685,a(flip),b,6976,a)]. 6980 T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. [hyper(62,a,565,a(flip),b,6976,a)]. 6981 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(64(a,1),6980(a,2,1,1))]. 6982 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [hyper(62,a,5163,a(flip),b,6981,a)]. 6983 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(115,a,6979,a(flip),b,5163,a(flip))]. 6984 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(14(a,2),6979(a,1,1))]. 6985 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(33,a,2545,a,b,6982,a)]. 6986 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(6985(a,1),3007(a,2,2))]. 6988 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). [para(6985(a,1),3828(a,1,1))]. 6989 (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). [para(6985(a,1),3823(a,1,1,2))]. 6990 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). [hyper(273,a,6985,a(flip),b,6988,a),flip(a)]. 6992 (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. [hyper(116,a,6986,a(flip),b,2725,a)]. 6993 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(6985(a,1),6986(a,1,1))]. 6994 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(108(a,1),6210(a,1,2,2,2))]. 6995 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(8(a,1),6253(a,2,1,2,2))]. 6996 T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). [para(6264(a,1),6277(a,1,1,2)),flip(a)]. 6997 T(x * L(K(y,x),z,u),y) = T(x,y) * L(K(y,x),z,u). [para(5354(a,1),6996(a,1,2,1)),flip(a)]. 6998 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(62,a,5889,a(flip),b,6294,a)]. 7000 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(77(a,1),6351(a,1,1,1,1,2)),flip(a)]. 7001 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6485(a,1),7000(a,1,2))]. 7002 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5682(a,1),7001(a,1,2))]. 7003 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(62,a,6574,a(flip),b,6593,a)]. 7005 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(9(a,1),6642(a,1,1,2,1)),flip(a)]. 7006 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5928(a,1),6721(a,2,2))]. 7007 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [hyper(62,a,6994,a(flip),b,6820,a),flip(a)]. 7008 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(226(a,1),6820(a,1,2))]. 7012 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(9(a,1),6969(a,2,2,2,2,2,2))]. 7013 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(2551,a,6983,a)]. 7014 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(6570,a,7013,a)]. 7015 (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. [hyper(273,a,2545,a(flip),b,6989,a),flip(a)]. 7017 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(5889(a,1),6998(a,2,1))]. 7018 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(273,a,7002,a(flip),b,7006,a),flip(a)]. 7019 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(62,a,2524,a(flip),b,7012,a)]. 7020 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(212,a,7017,a(flip),b,6305,a(flip)),flip(a)]. 7022 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(22(a,2),7020(a,1,2,1,1,2)),flip(a)]. 7023 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(273,a,5476,a,b,7022,a),flip(a)]. 7024 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6485(a,1),7023(a,1,1,2)),flip(a)]. 7025 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(115,a,7024,a(flip),b,6455,a(flip))]. 7026 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(77(a,1),7025(a,1,2,1,2,1)),flip(a)]. 7027 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(255,a,5032,a),flip(a)]. 7028 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(5215(a,1),5219(a,1,2))]. 7029 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5969(a,1),7028(a,2,3))]. 7030 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4288(a,1),7029(a,1,2))]. 7031 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(273,a,5854,a(flip),b,6201,a),flip(a)]. 7032 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(62,a,6178,a(flip),b,7031,a)]. 7033 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5551(a,1),7032(a,1,1))]. 7034 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(62,a,6845,a(flip),b,7033,a),flip(a)]. 7035 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(4356(a,2),7034(a,1,2,1,1))]. 7040 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(27(a,2),6604(a,1,2))]. 7041 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(9(a,1),6884(a,2,1,1))]. 7042 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(9(a,1),6889(a,2,1,1))]. 7043 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(273,a,3869,a(flip),b,7040,a),flip(a)]. 7045 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(7043(a,1),3345(a,1,1))]. 7046 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5387(a,1),5430(a,2,2))]. 7047 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(273,a,9,a(flip),b,7046,a),flip(a)]. 7050 L(x,K(y,z) * u,K(z,y)) != w | L(w,u,K(y,z)) = x. [para(7047(a,1),49(a,1)),flip(a)]. 7051 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(211(a,1),5605(a,1,2)),flip(a)]. 7052 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5368(a,1),7051(a,1,1,2,1))]. 7053 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(210(a,1),5606(a,1,2)),flip(a)]. 7054 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5368(a,1),7053(a,1,1,2,1))]. 7055 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(9(a,1),6041(a,1,1,2,1)),flip(a)]. 7056 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(6485(a,1),7055(a,1,2,1,2))]. 7057 T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). [para(3637(a,1),6059(a,1,1,2))]. 7058 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5591(a,1),6314(a,2,1))]. 7059 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5134(a,1),7058(a,1,1,1))]. 7060 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(171,a,7059,a)]. 7061 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4263(a,1),7060(a,1,1,2))]. 7062 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). [para(27(a,2),6813(a,2,2))]. 7063 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5631(a,1),6898(a,1,2,2,1,1))]. 7064 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(5174(a,1),7063(a,1,2,2,1)),flip(a)]. 7065 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(62,a,929,a(flip),b,6944,a)]. 7067 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3121(a,1),7057(a,1,1))]. 7068 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5773(a,1),7067(a,1,1,1))]. 7069 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3507(a,1),6217(a,1,2,1,1))]. 7070 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3109(a,1),7069(a,1,2))]. 7071 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(62,a,5856,a(flip),b,6535,a),flip(a)]. 7073 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1581(a,1),7071(a,1,1))]. 7074 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(62,a,5840,a(flip),b,7073,a)]. 7075 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(62,a,6186,a(flip),b,6810,a),flip(a)]. 7076 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1953(a,2),6890(a,1,2))]. 7077 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(255,a,7076,a)]. 7078 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6008(a,1),7077(a,1,2)),flip(a)]. 7079 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5518(a,1),7078(a,2,2))]. 7080 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(77(a,1),7079(a,1,1,2,1))]. 7081 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(77(a,1),7080(a,2,2,1,2))]. 7082 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(115,a,785,a(flip),b,7081,a(flip))]. 7083 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(115,a,7081,a(flip),b,6819,a(flip))]. 7086 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(109(a,1),7082(a,2,1))]. 7087 L(K(x,y),y \ 1,z) = K(x,y). [hyper(62,a,5467,a(flip),b,7083,a)]. 7090 K(x \ 1,y) != z | K(L(x,y \ 1,u) \ 1,y) = z. [para(7087(a,1),6258(a,1))]. 7091 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(7086(a,1),4916(a,1,1)),flip(a)]. 7092 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(62,a,4186,a(flip),b,7091,a)]. 7093 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4940(a,1),4956(a,2,1))]. 7094 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(62,a,5472,a,b,5016,a)]. 7095 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6157(a,1),7094(a,1,2))]. 7096 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6764(a,1),7095(a,2,1))]. 7097 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(5111(a,2),7096(a,2,1,1))]. 7098 x \ K((x * ((y \ 1) / x)) \ 1,z) = K(y,z) / T(x,x \ 1). [hyper(273,a,2634,a(flip),b,7097,a),flip(a)]. 7099 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [hyper(131,a,7098,a),flip(a)]. 7100 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(109(a,1),7099(a,2,2,2))]. 7102 L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))). [para(447(a,1),5171(a,1,2)),flip(a)]. 7103 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(6562,a,7102,a),flip(a)]. 7105 L(L(K(x,y),x,z),z * x,u) = K(L(x,z,u),y). [hyper(5245,a,7103,a)]. 7106 x \ (y * (z * T(u,w))) != K(L(u,z,y),w) | y * (z * u) = x. [para(7103(a,1),47(a,1)),flip(a)]. 7107 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(6548(a,1),7105(a,1,1))]. 7109 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(10(a,1),7107(a,1,2))]. 7110 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(12(a,1),7107(a,1,2)),flip(a)]. 7111 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(273,a,18,a(flip),b,7110,a),flip(a)]. 7112 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(7110(a,1),5368(a,1,1)),flip(a)]. 7113 K(L(x \ 1,x,y),z) != u | K(x \ 1,z) = u. [para(7109(a,1),325(a,1))]. 7114 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(96(a,1),7109(a,2,1))]. 7115 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(412(a,1),7109(a,2,1))]. 7116 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(457(a,1),7109(a,2,1))]. 7117 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2707(a,1),7109(a,2,1))]. 7118 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(273,a,6280,a(flip),b,7112,a),flip(a)]. 7119 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7112(a,2),6283(a,1))]. 7120 K(1 / L(x,y,z),x) = K(1 / x,x). [hyper(40,a,6279,a(flip),b,7118,a(flip)),flip(a)]. 7121 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(11(a,1),7118(a,1,2,2)),flip(a)]. 7122 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(74(a,1),7118(a,1,2,2)),flip(a)]. 7123 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(98(a,1),7118(a,1,2))]. 7124 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(521(a,1),7118(a,1,2))]. 7125 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(62,a,6285,a,b,7120,a)]. 7126 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(4890,a,7121,a)]. 7127 K((x * y) \ x,z) != u | K(y \ 1,z) = u. [para(192(a,1),7113(a,1,1))]. 7128 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(352(a,1),7113(a,1,1))]. 7130 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(96(a,1),7122(a,2,2))]. 7131 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(256(a,1),7122(a,2,2))]. 7132 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(457(a,1),7122(a,2,2))]. 7133 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3809(a,1),7122(a,2,2))]. 7135 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(7125(a,1),1860(a,1,2))]. 7136 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(273,a,5926,a(flip),b,7114,a),flip(a)]. 7137 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(14(a,2),7116(a,2,1))]. 7138 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(7116(a,1),94(a,1,2))]. 7139 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(273,a,5675,a(flip),b,7117,a),flip(a)]. 7140 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(74(a,1),7119(a,1,2,2))]. 7141 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(98(a,1),7119(a,1,2))]. 7142 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6562,a,7130,a),flip(a)]. 7143 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(7130(a,1),6562(a,1))]. 7144 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(10(a,1),7142(a,1,2,1)),flip(a)]. 7145 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(10(a,1),7142(a,1,2,2))]. 7146 K(x,(y \ 1) \ x) = K(x,y * x). [para(153(a,1),7142(a,1,2)),flip(a)]. 7147 K(x,(1 / y) * x) = K(x,y \ x). [para(154(a,1),7142(a,1,2))]. 7148 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(7142(a,1),5163(a,2,2))]. 7149 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5387(a,1),7142(a,1,2,1)),flip(a)]. 7150 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(273,a,6724,a(flip),b,7146,a),flip(a)]. 7151 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(62,a,5658,a,b,7147,a)]. 7152 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(62,a,5719,a(flip),b,7150,a),flip(a)]. 7153 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(62,a,6243,a(flip),b,7144,a),flip(a)]. 7154 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(273,a,5163,a,b,7148,a),flip(a)]. 7155 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(10(a,1),7154(a,1,2,1)),flip(a)]. 7156 R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). [para(7155(a,1),5967(a,1,2,1,1))]. 7158 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(7132(a,1),94(a,1,2))]. 7159 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(7132(a,1),4569(a,1))]. 7160 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(7132(a,1),6562(a,1))]. 7163 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(7135(a,1),6046(a,1,2,2,1,2))]. 7164 K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). [hyper(5627,a,7151,a)]. 7165 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [hyper(273,a,7144,a(flip),b,7164,a),flip(a)]. 7166 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7111(a,2),453(a,1))]. 7167 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5419(a,1),7124(a,1,2,1,2)),flip(a)]. 7168 L(K(x,T(y,y * z) \ (z \ u)),z \ u,z) = K(x,(L(y,z,y) * z) \ u). [para(650(a,1),7131(a,2,2,1))]. 7169 L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(4288(a,1),7131(a,2,2,1))]. 7170 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(273,a,5725,a(flip),b,7133,a),flip(a)]. 7171 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(96(a,1),7140(a,1,2))]. 7172 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(256(a,1),7140(a,1,2))]. 7173 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(77(a,1),7170(a,1,1,2)),flip(a)]. 7174 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1129(a,1),7153(a,1,2)),flip(a)]. 7175 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(7138(a,1),42(a,1)),flip(a)]. 7176 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7158(a,1),42(a,1)),flip(a)]. 7177 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(64(a,1),7158(a,1,2,2)),flip(a)]. 7178 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(33,a,7138,a,b,7177,a(flip))]. 7180 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(10(a,1),7178(a,1,1,2)),flip(a)]. 7181 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6746(a,2),7167(a,2,2,1))]. 7182 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(18(a,2),7137(a,1,1,1,1))]. 7183 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(10(a,1),7180(a,1,2)),flip(a)]. 7184 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(2037(a,2),7183(a,1,2))]. 7185 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(5174(a,1),5970(a,1,1))]. 7186 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1273,a,7185,a)]. 7187 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(5215(a,1),7186(a,2,1))]. 7188 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4288(a,1),7187(a,2,1))]. 7189 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(273,a,4920,a,b,6462,a)]. 7190 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(1107(a,1),6946(a,1,2,1))]. 7191 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(6945(a,1),7190(a,1,2)),flip(a)]. 7192 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [hyper(171,a,7191,a)]. 7193 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(6969(a,1),7019(a,2,2))]. 7194 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(77(a,1),7093(a,1,1,2)),flip(a)]. 7195 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3972(a,1),7189(a,1,1)),flip(a)]. 7196 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7195(a,1),6483(a,1,1)),flip(a)]. 7197 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(66(a,1),7193(a,2,2,2,2,2,2,2))]. 7199 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(74(a,1),7197(a,2,2,2,2,2))]. 7201 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1804(a,2),7199(a,2,2,2))]. 7202 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(4770,a,7201,a),flip(a)]. 7203 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(115,a,7202,a(flip),b,1804,a(flip))]. 7206 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(115,a,7203,a(flip),b,1818,a(flip)),flip(a)]. 7207 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6160(a,2),7203(a,1,2))]. 7208 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(62,a,5747,a(flip),b,7207,a)]. 7210 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(7208(a,1),489(a,1,1))]. 7211 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1285,a,7210,a)]. 7212 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(171,a,7211,a)]. 7213 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(129,a,7211,a)]. 7214 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(7212(a,1),6455(a,2,2,1))]. 7215 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(7212(a,1),7092(a,2,1,1))]. 7216 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6978(a,1),7215(a,1,1))]. 7217 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(7216(a,1),4831(a,2,1))]. 7218 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(616,a,7214,a)]. 7219 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(25(a,2),7218(a,1,1))]. 7220 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(122,a,7219,a)]. 7221 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1304(a,1),7220(a,1,1))]. 7222 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(34,a,6309,a(flip),b,7217,a),flip(a)]. 7223 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = ((x * T(x \ y,z)) * x) / x. [para(4711(a,1),4372(a,2,1))]. 7225 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) != u | x * T(x \ y,z) = u. [para(7223(a,2),280(a,1))]. 7227 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4852(a,1),4984(a,1,2)),flip(a)]. 7228 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(273,a,18,a,b,7227,a),flip(a)]. 7231 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1544(a,1),7228(a,1,2)),flip(a)]. 7232 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2576(a,1),7228(a,1,2)),flip(a)]. 7233 L(x,y / ((z \ 1) \ 1),u) = L(x,y / z,u). [para(2624(a,1),7228(a,1,2))]. 7234 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2988(a,2),7228(a,1,2))]. 7236 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(62,a,7087,a(flip),b,7231,a),flip(a)]. 7238 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(7236(a,1),94(a,1,2))]. 7239 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(2943(a,1),7233(a,1,2,2)),flip(a)]. 7240 R(x,y,K(z,y \ 1)) = x. [hyper(478,a,7238,a)]. 7242 R(x,y \ 1,K(z,y)) = x. [para(3635(a,1),7240(a,1,3))]. 7243 R(x,y \ z,K(u,z \ y)) = x. [para(6569(a,1),7240(a,1,3))]. 7244 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(62,a,5240,a(flip),b,7242,a)]. 7245 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7243(a,1),466(a,1,1))]. 7246 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5129(a,1),7244(a,1,2))]. 7247 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [hyper(171,a,7246,a)]. 7249 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7245(a,1),6995(a,1,2))]. 7250 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(62,a,6715,a(flip),b,7249,a),flip(a)]. 7252 T(x,(y \ z) * (z \ y)) = x. [hyper(53,a,7250,a)]. 7255 T(x,y * ((z * y) \ z)) = x. [para(9(a,1),7252(a,1,2,1))]. 7258 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(383,a,7255,a),flip(a)]. 7259 K(x,y * ((z * y) \ z)) = 1. [hyper(54,a,7255,a)]. 7260 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(53,a,7255,a)]. 7262 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(192(a,2),7260(a,1,1,2))]. 7263 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3845(a,1),4985(a,1,2))]. 7264 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(584(a,1),5878(a,1,2)),flip(a)]. 7265 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(6633,a,6000,a),flip(a)]. 7267 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(273,a,5837,a(flip),b,7265,a),flip(a)]. 7268 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(6633,a,7267,a)]. 7269 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5977,a,7268,a)]. 7271 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1424(a,1),6212(a,1,2))]. 7272 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(9(a,1),7271(a,1,2,1,2,1))]. 7273 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(6827(a,1),6713(a,1,1))]. 7274 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(18(a,2),6984(a,1,2,2))]. 7275 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(14(a,2),7274(a,2,1,1))]. 7276 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [hyper(115,a,7275,a(flip),b,5163,a(flip)),flip(a)]. 7277 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(7276(a,2),2556(a,1,2))]. 7278 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(62,a,5579,a(flip),b,7008,a),flip(a)]. 7280 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [hyper(62,a,7007,a(flip),b,7278,a)]. 7281 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(226(a,1),7280(a,1,2,2))]. 7282 K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). [hyper(62,a,5967,a(flip),b,7156,a),flip(a)]. 7283 K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). [para(64(a,1),7282(a,2,1))]. 7284 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(62,a,4813,a(flip),b,7263,a)]. 7285 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3882(a,1),7284(a,1,2))]. 7286 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(62,a,3886,a(flip),b,7285,a),flip(a)]. 7288 R(x,1 / y,z) = R(x,y \ 1,z). [para(701(a,1),7286(a,1,2)),flip(a)]. 7289 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1544(a,1),7286(a,1,2)),flip(a)]. 7292 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7288(a,1),3679(a,1,2))]. 7293 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(7289(a,1),104(a,1,1))]. 7295 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(7293(a,1),43(a,1))]. 7296 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2741(a,1),7292(a,1,2,1))]. 7297 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4133(a,1),7296(a,1,2,1)),flip(a)]. 7298 (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,z \ T(y,x))) = T(y,T(y,x) * (z \ 1)). [para(4549(a,1),4426(a,1,2))]. 7299 T(x,T(x,y) * (z \ 1)) = T(x,z \ T(x,y)). [hyper(62,a,4256,a(flip),b,7298,a),flip(a)]. 7301 T(x,T(x,y) * (1 / z)) = T(x,z \ T(x,y)). [hyper(62,a,4779,a,b,7299,a)]. 7303 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1067(a,1),4458(a,1,1))]. 7304 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1094(a,1),7303(a,1,2))]. 7305 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(636,a,7304,a),flip(a)]. 7307 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(62,a,4667,a,b,7305,a)]. 7308 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4209(a,1),7307(a,1,1))]. 7309 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(5154(a,2),5344(a,1,2,1,2,2))]. 7310 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(62,a,2172,a(flip),b,7309,a)]. 7311 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(108(a,1),7310(a,1,1,2))]. 7312 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4934(a,1),7311(a,1,1))]. 7313 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(332,a,7312,a),flip(a)]. 7315 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7313(a,1),6943(a,1,1))]. 7316 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(332,a,7315,a)]. 7317 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6478,a,7316,a)]. 7319 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(33,a,260,a,b,7317,a),flip(a)]. 7321 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(7319(a,1),5915(a,1,1,1,2))]. 7323 T(x / (x / y),z) \ x = x / T(y,z). [para(5063(a,2),7321(a,1,1,1))]. 7324 x / T(y \ x,z) = T(x / y,z) \ x. [para(5075(a,1),7321(a,1,1,1)),flip(a)]. 7326 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(176,a,7323,a)]. 7329 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(171,a,7324,a)]. 7334 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [para(74(a,1),7329(a,1,1,1,1)),flip(a)]. 7336 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(110(a,1),7334(a,2,1,1))]. 7339 (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). [para(7336(a,1),108(a,1,2)),flip(a)]. 7340 (x \ y) * ((((x \ y) \ y) \ z) \ z) = ((x \ z) \ z) * (x \ y). [para(74(a,1),7339(a,1,1,1,1)),flip(a)]. 7342 T(x,x \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). [hyper(273,a,270,a,b,7340,a)]. 7344 T(x,((x \ y) \ y) \ z) = T(x,x \ z). [hyper(34,a,862,a,b,7342,a)]. 7347 T(x,T(x,y) \ z) = T(x,x \ z). [para(4245(a,2),7344(a,1,2,1))]. 7352 T(x,x \ (T(x,y) * z)) = T(x,z). [para(9(a,1),7347(a,1,2)),flip(a)]. 7353 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(7352(a,1),4085(a,1,2))]. 7354 T(x,K(x,y) * z) = T(x,z). [para(5487(a,1),7352(a,1,2))]. 7355 L(x,y,K(x,z)) * (K(x,z) * y) = K(x,z) * (y * T(x,y)). [para(7354(a,1),576(a,1,2,2)),flip(a)]. 7356 T(x,K(y,x) * z) = T(x,z). [para(5387(a,1),7354(a,1,2)),flip(a)]. 7358 T(x,T(y,x) * z) = T(x,y * z). [para(5142(a,1),7354(a,1,2)),flip(a)]. 7359 T(x,T(x,y) * z) = T(x,x * z). [para(5178(a,1),7354(a,1,2))]. 7360 T(x,T(y,x) \ z) = T(x,y \ z). [para(5518(a,1),7354(a,1,2))]. 7363 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7354(a,1),5571(a,1,1))]. 7366 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7356(a,1),4655(a,1,3))]. 7371 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(7358(a,1),845(a,1,1)),flip(a)]. 7372 T(x,y \ T(x,z)) = T(x,x * (1 / y)). [hyper(62,a,7301,a(flip),b,7359,a)]. 7373 T(x,T(y,x) \ z) = x * K(x,y \ z). [hyper(273,a,5163,a(flip),b,7360,a),flip(a)]. 7377 T(x,y \ T(x,z)) = T(x,y \ x). [hyper(273,a,4310,a(flip),b,7372,a),flip(a)]. 7378 K(x,T(y,x) \ z) = K(x,y \ z). [hyper(5238,a,7373,a)]. 7380 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(7373(a,2),5167(a,1))]. 7381 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(110(a,1),7378(a,1,2,1)),flip(a)]. 7382 T(x,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. [para(110(a,1),7380(a,1,2,1))]. 7383 L(x,y,K(x,z)) * (K(x,z) * y) = K(x,z) * (x * y). [para(108(a,1),7355(a,2,2))]. 7384 L(x,y,K(x,z)) = x. [hyper(34,a,5539,a(flip),b,7383,a),flip(a)]. 7385 L(x,y,K(z,x)) = x. [hyper(7050,a,7384,a)]. 7386 L(x,y,K(R(x,z,u),w)) = x. [hyper(141,a,7384,a(flip))]. 7387 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7384(a,1),94(a,1,2))]. 7390 T(K(x,y) * z,L(x,z,K(x,y))) = x \ (K(x,y) * (z * x)). [para(7384(a,1),442(a,1,1)),flip(a)]. 7391 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7384(a,1),448(a,1,2,1))]. 7394 L(K(x,y),z,K(x,u)) = K(x,y). [para(7384(a,1),7110(a,1,1)),flip(a)]. 7395 L(K(x,y),z,K(y,u)) = K(x,y). [para(7384(a,1),7118(a,1,2)),flip(a)]. 7403 L(K(x,y),z,K(u,x)) = K(x,y). [para(7385(a,1),7110(a,1,1)),flip(a)]. 7404 L(K(x,y),z,K(u,y)) = K(x,y). [para(7385(a,1),7118(a,1,2)),flip(a)]. 7405 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(7386(a,1),446(a,1,2,2)),flip(a)]. 7407 T(x / (x / K(y,z)),x) = K(y,z). [hyper(62,a,4391,a,b,7394,a)]. 7408 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(62,a,7121,a(flip),b,7394,a)]. 7409 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7394(a,1),25(a,2,1))]. 7410 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7394(a,1),94(a,1,2))]. 7411 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(7394(a,1),4359(a,1,1,1))]. 7412 x / T(K(y,z),x) = K(y,z) \ x. [para(7394(a,1),6086(a,1,1)),flip(a)]. 7413 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(7395(a,1),94(a,1,2))]. 7414 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(7395(a,1),448(a,1,2,1))]. 7417 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(62,a,7121,a(flip),b,7403,a)]. 7418 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(62,a,7107,a(flip),b,7404,a)]. 7419 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7404(a,1),94(a,1,2))]. 7420 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(30(a,1),7417(a,1,2))]. 7421 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7418(a,1),5283(a,2,1,1))]. 7422 T(x,y) != K(z,u) | y / (y / K(z,u)) = x. [para(7407(a,1),48(a,1)),flip(a)]. 7423 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(171,a,7412,a)]. 7424 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(7412(a,1),4220(a,1,1))]. 7425 (K(x,y) * z) \ z = T(K(y,x),z). [para(5388(a,1),7423(a,1,1))]. 7426 (K(x,y) * z) * T(K(y,x),z) = z. [hyper(131,a,7425,a)]. 7427 x * ((K(y,z) * x) \ x) = K(z,y) * x. [para(7425(a,2),108(a,1,2))]. 7428 R(K(x,y),z,x) = K(x,y). [hyper(7295,a,7387,a)]. 7430 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7387(a,1),192(a,2,1)),flip(a)]. 7431 K(R(x,y,x),z) = K(x,z). [hyper(62,a,6845,a(flip),b,7428,a)]. 7432 K(x,R(y,z,x)) = K(x,y). [hyper(62,a,6191,a(flip),b,7428,a)]. 7433 K((x \ y) \ T(y,x),z) = K(x,z). [para(4320(a,1),7431(a,1,1))]. 7434 K(T(x,x * y),z) = K(T(x,y),z). [para(4375(a,1),7431(a,1,1)),flip(a)]. 7435 K(T(x,x \ y),z) = K(T(x,y),z). [para(4428(a,1),7431(a,1,1))]. 7436 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7431(a,1),5163(a,2,2)),flip(a)]. 7437 x * K(R(x,y,x),z) = T(x,z). [para(7431(a,2),5163(a,2,2)),flip(a)]. 7438 K(x,R(y,z,y)) = 1 / K(y,x). [para(7431(a,1),5370(a,1,2)),flip(a)]. 7440 T(x,R(y,z,x)) = x * K(x,y). [para(7432(a,1),5163(a,2,2))]. 7441 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6191(a,1),7432(a,1,2))]. 7442 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(115,a,7437,a(flip),b,6930,a),flip(a)]. 7443 K(x,R(y,z,y)) = K(x,y). [hyper(273,a,5370,a(flip),b,7438,a),flip(a)]. 7444 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7438(a,2),5376(a,1))]. 7445 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4375(a,1),7443(a,1,2)),flip(a)]. 7446 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4428(a,1),7443(a,1,2))]. 7447 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7443(a,1),5822(a,1,2)),flip(a)]. 7448 T(x,R(y,z,x)) = T(x,y). [hyper(273,a,5163,a,b,7440,a),flip(a)]. 7449 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(692(a,1),7448(a,1,2))]. 7453 K(T(x,y * x),z) = K(T(x,y),z). [para(4300(a,2),7434(a,1,1))]. 7454 K((x \ y) \ y,z) = K(T(x,y),z). [para(109(a,1),7435(a,1,1))]. 7455 K(T(x / (x / y),x),z) = K(y,z). [para(306(a,1),7435(a,1,1)),flip(a)]. 7456 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4428(a,1),7444(a,1,2))]. 7457 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1678(a,1),7445(a,1,2)),flip(a)]. 7458 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(4188(a,1),7445(a,1,2,2)),flip(a)]. 7459 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4300(a,2),7445(a,1,2))]. 7460 K(x,T(y,z)) = T(K(x,y),z). [hyper(62,a,6655,a(flip),b,7446,a),flip(a)]. 7461 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(109(a,1),7446(a,1,2))]. 7462 K(x,T(y / z,y)) = K(x,z \ y). [para(592(a,1),7446(a,1,2)),flip(a)]. 7463 T(K(x * y,x),y) = K(x * y,x). [hyper(6221,a,7460,a),flip(a)]. 7464 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(273,a,7425,a,b,7460,a)]. 7465 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(273,a,6523,a,b,7460,a)]. 7466 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(273,a,6196,a,b,7460,a)]. 7467 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(273,a,6149,a,b,7460,a)]. 7468 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(273,a,6024,a,b,7460,a),flip(a)]. 7469 K(x / y,T(z,x)) = K(y \ x,z). [hyper(273,a,6524,a(flip),b,7460,a),flip(a)]. 7470 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(273,a,3176,a(flip),b,7460,a),flip(a)]. 7471 K(x,T(y,T(x,z))) = K(x,y). [hyper(273,a,3159,a(flip),b,7460,a),flip(a)]. 7472 K(x,T(y,K(z,x))) = K(x,y). [hyper(273,a,2223,a(flip),b,7460,a),flip(a)]. 7473 K(x,T(y,x \ 1)) = K(x,y). [hyper(273,a,1539,a(flip),b,7460,a),flip(a)]. 7474 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(62,a,6655,a(flip),b,7460,a),flip(a)]. 7475 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(23(a,1),7460(a,1,2))]. 7476 x * K(y,T(z,x)) = K(y,z) * x. [para(7460(a,2),108(a,1,2))]. 7479 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7460(a,2),576(a,1,2,2))]. 7480 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7460(a,2),637(a,1,1))]. 7481 T(K(x,y),K(z,y)) = K(x,y). [para(3203(a,1),7460(a,1,2)),flip(a)]. 7482 x * T(K(x,y),z) = T(x,T(y,z)). [para(7460(a,1),5163(a,2,2)),flip(a)]. 7483 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7460(a,2),5936(a,1,1))]. 7484 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(7118(a,1),7460(a,2,1))]. 7486 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7460(a,2),7426(a,1,2))]. 7487 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7460(a,2),7460(a,1,2))]. 7488 K(x,y / T(x,z)) = K(x,T(x,z) \ y). [para(110(a,1),7471(a,1,2)),flip(a)]. 7489 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(7471(a,2),3210(a,1,2))]. 7490 T(x,T(y,T(x,z))) = x * K(x,y). [para(7471(a,1),5163(a,2,2))]. 7491 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [para(7471(a,1),5571(a,1,2)),flip(a)]. 7492 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(6674(a,1),7473(a,1,2))]. 7493 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(115,a,7481,a(flip),b,5418,a)]. 7494 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(7481(a,1),108(a,1,2))]. 7495 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(110(a,1),7470(a,1,2)),flip(a)]. 7497 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(7470(a,1),5935(a,1,2))]. 7498 K(T(x,y),z) = T(K(x,z),y). [hyper(62,a,6523,a(flip),b,7454,a),flip(a)]. 7499 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(687(a,1),7454(a,1,1,1)),flip(a)]. 7500 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7454(a,1),7114(a,1,1)),flip(a)]. 7501 K(T(x,y),z) = K(x,T(z,y)). [hyper(273,a,7460,a,b,7498,a),flip(a)]. 7502 K(T(x,y),y / z) = K(x,z \ y). [hyper(273,a,6647,a(flip),b,7498,a),flip(a)]. 7503 K(T(x,K(y,z)),y) = K(x,y). [hyper(273,a,2224,a(flip),b,7498,a),flip(a)]. 7504 K(T(x,y \ 1),y) = K(x,y). [hyper(273,a,2151,a(flip),b,7498,a),flip(a)]. 7505 x * K(T(y,x),z) = K(y,z) * x. [para(7498(a,2),108(a,1,2))]. 7507 T(K(x,y),K(x,z)) = K(x,y). [para(3144(a,1),7498(a,1,1)),flip(a)]. 7509 (K(x,y) * z) * K(T(y,z),x) = z. [para(7498(a,2),7426(a,1,2))]. 7510 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5445,a,7501,a)]. 7511 K(T(x * y,x),y) = K(x * y,y). [hyper(273,a,5554,a(flip),b,7501,a),flip(a)]. 7512 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(62,a,5941,a,b,7501,a)]. 7513 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(62,a,7434,a(flip),b,7501,a),flip(a)]. 7514 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(23(a,1),7501(a,2,2))]. 7515 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(25(a,2),7501(a,1,1))]. 7516 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(27(a,2),7501(a,1,1))]. 7517 K(T(x,R(y,z,u)),y) = K(x,y). [para(159(a,1),7501(a,2,2))]. 7518 K(x / y,T(z,y)) = K(y \ x,z). [para(110(a,1),7501(a,1,1)),flip(a)]. 7519 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(183(a,1),7501(a,1,1)),flip(a)]. 7520 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(187(a,1),7501(a,1,1)),flip(a)]. 7521 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(1540(a,1),7501(a,1,1)),flip(a)]. 7522 K(x,T(y,K(x,z))) = K(x,y). [para(3144(a,1),7501(a,1,1)),flip(a)]. 7523 K(x \ T(x * y,z),T(u,x)) = K(x \ T(y * x,z),u). [para(4918(a,1),7501(a,1,1)),flip(a)]. 7524 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7501(a,1),5173(a,2,1)),flip(a)]. 7526 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7501(a,1),5388(a,1,1))]. 7527 1 / K(x,T(y,z)) != u | K(y,T(x,z)) = u. [para(7501(a,1),5376(a,1,2))]. 7528 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5601(a,1),7501(a,1,1)),flip(a)]. 7529 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. [para(7501(a,1),5288(a,1,2,2))]. 7531 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7501(a,1),5248(a,1,1))]. 7532 R(x,y,K(T(y,z),u)) = x. [para(7501(a,2),6547(a,1,3))]. 7533 R(x,y \ 1,K(z,T(y,u))) = x. [para(7501(a,1),7242(a,1,3))]. 7534 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7354(a,1),7501(a,1,1)),flip(a)]. 7536 R(x,(y * z) / y,K(z,u)) = x. [para(198(a,1),7532(a,1,3,1))]. 7538 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(7507(a,1),108(a,1,2))]. 7539 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(7507(a,1),252(a,1,2))]. 7540 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [para(7507(a,1),7426(a,1,2))]. 7541 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7498(a,2),7522(a,1,2))]. 7542 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5134(a,1),7533(a,1,3,2))]. 7543 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7536(a,1),467(a,1,1))]. 7544 K(x * y,T(y,x)) != z | K(x * y,y) = z. [para(7459(a,1),5385(a,1))]. 7545 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(62,a,612,a,b,7461,a)]. 7546 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(493(a,1),7462(a,1,2))]. 7547 K(x * y,x) * y = y * K(x * y,x). [para(7463(a,1),108(a,1,2)),flip(a)]. 7548 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(7212(a,1),7465(a,1,1)),flip(a)]. 7551 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7469(a,1),4167(a,1,3))]. 7553 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5538(a,1),7469(a,1,2))]. 7556 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7469(a,1),6842(a,1,1)),flip(a)]. 7558 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(7474(a,2),180(a,1)),flip(b)]. 7560 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(273,a,5388,a,b,7476,a),flip(a)]. 7561 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(273,a,5518,a(flip),b,7476,a),flip(a)]. 7562 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(115,a,7476,a,b,5141,a)]. 7563 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(33,a,6035,a(flip),b,7476,a),flip(a)]. 7564 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5423,a,7476,a(flip))]. 7565 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(25(a,2),7476(a,1,2,2))]. 7566 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7476(a,1),42(a,1))]. 7567 K(x,y / z) * z = z * K(x,z \ y). [para(110(a,1),7476(a,1,2,2)),flip(a)]. 7568 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(4086(a,1),7476(a,1,2,2))]. 7569 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(5601(a,1),7476(a,1,2,2))]. 7570 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7460(a,2),7476(a,1,2,2))]. 7571 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(6031,a,7482,a),flip(a)]. 7572 T(x,T(y,T(x,z))) = T(x,y). [hyper(273,a,5163,a,b,7490,a),flip(a)]. 7573 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(7490(a,2),5167(a,1))]. 7575 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(217(a,1),7572(a,1,2,2))]. 7576 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(5134(a,1),7572(a,1,2,2))]. 7577 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(7572(a,1),5736(a,1,1)),flip(a)]. 7578 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(187(a,1),7502(a,1,1))]. 7579 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(188(a,1),7502(a,1,1))]. 7580 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7502(a,1),5173(a,2,1)),flip(a)]. 7581 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2148,a,7505,a),flip(a)]. 7582 K(x / y,z) * y = y * K(y \ x,z). [para(110(a,1),7505(a,1,2,1)),flip(a)]. 7583 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7510(a,1),5392(a,1))]. 7584 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(273,a,7501,a(flip),b,7513,a),flip(a)]. 7585 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(6661,a,7518,a)]. 7586 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(62,a,5845,a(flip),b,7518,a),flip(a)]. 7588 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7518(a,1),5173(a,2,1)),flip(a)]. 7589 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7518(a,1),5227(a,1,1))]. 7591 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7519(a,1),5173(a,2,1))]. 7593 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(10(a,1),7584(a,1,2,2)),flip(a)]. 7595 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(696(a,1),7441(a,1,2,2))]. 7596 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(110(a,1),7520(a,1,2)),flip(a)]. 7597 R(x,y \ K(y,z),K(u,y)) = x. [para(5386(a,1),7542(a,1,2))]. 7598 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6677(a,2),7558(a,1))]. 7599 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(220(a,1),7573(a,1,2))]. 7600 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7460(a,1),7583(a,1))]. 7601 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7411(a,1),23(a,1,1)),flip(a)]. 7602 T(x,K(y,z)) != u * K(y,z) | K(y,z) * u = x. [para(7411(a,1),48(a,1)),flip(a)]. 7603 T(K(x,y) * z,K(x,y)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7411(a,2),213(a,2)),flip(a)]. 7604 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5387(a,1),7411(a,1,1)),flip(a)]. 7606 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(273,a,27,a,b,7436,a),flip(a)]. 7607 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6674(a,1),7457(a,1,2)),flip(a)]. 7608 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(160(a,1),7467(a,1,1,1)),flip(a)]. 7609 K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. [para(7468(a,2),6624(a,1))]. 7610 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(62,a,5179,a,b,7493,a)]. 7611 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(7521(a,1),5246(a,1,2)),flip(a)]. 7612 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5763,a,7524,a)]. 7613 T(T(x,y),z) != K(x,y) * u | T(x,T(z,y)) = u. [para(7524(a,1),5786(a,1))]. 7614 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(273,a,7501,a(flip),b,7534,a),flip(a)]. 7615 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5610,a,7538,a)]. 7616 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(7538(a,1),5394(a,2,1,1))]. 7617 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(5657(a,1),7547(a,1,1)),flip(a)]. 7618 K(L(x \ 1,y,z),((u * x) \ u) \ u) = K(L(x \ 1,y,z),u * x). [para(6685(a,1),7548(a,1,2))]. 7620 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [hyper(34,a,3152,a(flip),b,7567,a),flip(a)]. 7622 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5854(a,2),7567(a,1,1))]. 7623 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5860(a,1),7567(a,1,1)),flip(a)]. 7625 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(273,a,7467,a,b,7586,a)]. 7626 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(273,a,5173,a,b,7591,a),flip(a)]. 7627 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5134(a,1),7626(a,1,2,2,1))]. 7628 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(115,a,7606,a(flip),b,5503,a)]. 7629 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(7606(a,1),4416(a,1,1)),flip(a)]. 7630 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7460(a,2),7612(a,1,2,2))]. 7631 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(62,a,7462,a(flip),b,7614,a),flip(a)]. 7632 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(5127(a,1),7614(a,1,2,2)),flip(a)]. 7633 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(5204(a,1),7614(a,1,2,2))]. 7634 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [para(5274(a,1),7614(a,1,2,2)),flip(a)]. 7636 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(6176(a,1),7614(a,1,2,2,1))]. 7637 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(6362(a,1),7614(a,1,2,2)),flip(a)]. 7638 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(691(a,1),7632(a,1,2,2))]. 7639 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(6697,a,7625,a)]. 7640 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(273,a,7593,a(flip),b,7633,a),flip(a)]. 7641 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5250(a,1),7633(a,1,2,2)),flip(a)]. 7642 K(x,T(y,z * x)) = K(x,T(y,z)). [para(11(a,1),7640(a,1,2,2)),flip(a)]. 7643 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(168(a,1),7640(a,1,2,2)),flip(a)]. 7644 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4437(a,1),7640(a,1,2))]. 7645 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4439(a,1),7640(a,1,2))]. 7646 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7642(a,1),7476(a,1,2))]. 7647 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(4916(a,1),7634(a,1,2,2))]. 7648 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7639(a,1),5201(a,2,2,2)),flip(a)]. 7649 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(6674(a,1),7644(a,1,2)),flip(a)]. 7650 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(273,a,5283,a,b,7421,a),flip(a)]. 7651 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(96(a,1),7650(a,1,2))]. 7652 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. [para(4172(a,1),7456(a,1,2))]. 7653 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6655(a,1),7456(a,1))]. 7655 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7498(a,2),7653(a,1))]. 7657 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7513(a,2),7655(a,1))]. 7658 K(x,T(y,K(x,z) * u)) != w | K(x,T(y,u)) = w. [para(7534(a,2),7655(a,1))]. 7661 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(7527,a,6806,a(flip)),flip(a)]. 7662 K(x * y,x) != z | K(y * x,x) = z. [para(4486(a,1),7544(a,1))]. 7663 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(5771(a,2),7662(a,1))]. 7664 K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. [para(110(a,1),7657(a,1,2))]. 7665 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(273,a,3212,a(flip),b,7447,a),flip(a)]. 7666 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5999(a,1),7447(a,2,2))]. 7667 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(109(a,1),7515(a,1,1,1))]. 7668 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1413(a,1),7516(a,1,1)),flip(a)]. 7670 T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). [para(7575(a,1),23(a,1,1)),flip(a)]. 7671 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(62,a,7030,a(flip),b,7576,a)]. 7672 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(4084(a,1),7580(a,1,2))]. 7673 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(7145(a,1),7588(a,1,1))]. 7674 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7155(a,1),7607(a,1,2))]. 7675 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(62,a,5306,a,b,7610,a)]. 7676 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(7610(a,1),4020(a,2,3))]. 7677 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(62,a,5630,a,b,7615,a)]. 7679 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [hyper(62,a,7281,a(flip),b,7620,a),flip(a)]. 7680 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(456(a,1),7679(a,1,2,1)),flip(a)]. 7682 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(33,a,7476,a,b,7623,a)]. 7683 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(7646(a,2),6228(a,1,2,1))]. 7684 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(7460(a,1),7646(a,1,2))]. 7685 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(10(a,1),7674(a,1,2,2,2))]. 7686 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(7675(a,1),95(a,1,2,2,1))]. 7687 T(K(x,y),z * x) = T(K(x,y),z). [hyper(213,a,7684,a)]. 7688 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(273,a,3231,a(flip),b,7687,a),flip(a)]. 7691 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(7609,a,7682,a)]. 7692 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(104(a,1),7636(a,1,2,2))]. 7693 K(x,T(y,T(z,x) \ u)) != w | K(x,T(y,z \ u)) = w. [para(5518(a,1),7658(a,1,2,2))]. 7695 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(7413(a,1),1410(a,1,1,2))]. 7697 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(27(a,2),7466(a,2,2))]. 7698 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2712(a,1),7565(a,1,2,2))]. 7699 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(273,a,5246,a(flip),b,7611,a),flip(a)]. 7700 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(7699(a,1),6873(a,1,1))]. 7701 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(62,a,6369,a(flip),b,7629,a)]. 7702 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4807(a,1),7630(a,1,1))]. 7703 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(5132(a,1),7637(a,1,2,2,2))]. 7704 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(5374(a,1),7637(a,1,2,2)),flip(a)]. 7705 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5288,a,7648,a),flip(a)]. 7706 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(62,a,6679,a,b,7705,a)]. 7707 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(62,a,7571,a,b,7706,a)]. 7708 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(5132(a,1),7692(a,1,2,2,1)),flip(a)]. 7709 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7460(a,2),7697(a,1,1))]. 7710 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(10(a,1),7709(a,1,2)),flip(a)]. 7711 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(692(a,1),7709(a,2,2))]. 7712 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(5134(a,1),7709(a,1,1,2))]. 7713 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(273,a,341,a(flip),b,7710,a),flip(a)]. 7714 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,(y * K(z,y)) \ u,w)). [para(5134(a,1),7710(a,1,2,1)),flip(a)]. 7715 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(273,a,7460,a(flip),b,7713,a),flip(a)]. 7716 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(7671(a,1),7188(a,1,1,2))]. 7717 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(7295,a,7391,a)]. 7718 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(7391(a,1),5495(a,1,1,2))]. 7719 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(62,a,6845,a(flip),b,7717,a)]. 7720 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(62,a,6191,a(flip),b,7717,a)]. 7721 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(7719(a,1),5173(a,2,1)),flip(a)]. 7722 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(7719(a,1),5631(a,1,1,1)),flip(a)]. 7723 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(696(a,1),7720(a,1,2))]. 7724 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(7568(a,1),42(a,1)),flip(a)]. 7725 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [hyper(62,a,4434,a(flip),b,7670,a),flip(a)]. 7726 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(7677(a,1),3862(a,1,2))]. 7727 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(5318(a,1),7716(a,1,1,2))]. 7728 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(7727(a,1),1259(a,1,1))]. 7729 (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). [para(7727(a,2),5887(a,2,1))]. 7730 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(273,a,27,a,b,7721,a),flip(a)]. 7731 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(115,a,7730,a(flip),b,5507,a),flip(a)]. 7732 T(K(x,y) * z,L(x,z,K(x,y))) = x \ (T(x,y) * T(z,x)). [para(5491(a,1),7390(a,2,2))]. 7733 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(74(a,1),7546(a,1,2,1,1))]. 7734 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(273,a,7501,a(flip),b,7668,a),flip(a)]. 7735 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5714(a,1),7698(a,1,2))]. 7736 T(K(x,y) * z,L(x,z,K(x,y))) = K(x,y) * T(z,x). [hyper(273,a,5487,a(flip),b,7732,a),flip(a)]. 7737 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(7384(a,1),7736(a,1,2))]. 7738 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6366,a,7737,a),flip(a)]. 7739 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6365,a,7737,a)]. 7740 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(273,a,5945,a(flip),b,7737,a),flip(a)]. 7741 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [hyper(273,a,3046,a(flip),b,7737,a),flip(a)]. 7742 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(10(a,1),7737(a,1,1)),flip(a)]. 7743 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(23(a,1),7737(a,2,2))]. 7744 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(25(a,2),7737(a,2,2))]. 7745 (x * (K(y,z) * u)) \ (x * T(K(y,z) * u,y)) = K(L(u,K(y,z),x),y). [para(7737(a,2),7103(a,1,2,2))]. 7746 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(7460(a,2),7737(a,2,2))]. 7747 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(9(a,1),7739(a,1,2,1)),flip(a)]. 7748 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(7739(a,1),1581(a,1,1)),flip(a)]. 7749 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7739(a,1),6373(a,1,1)),flip(a)]. 7750 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(62,a,5170,a,b,7742,a)]. 7751 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(115,a,7742,a(flip),b,917,a),flip(a)]. 7752 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(116,a,7747,a,b,xx)]. 7754 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5648(a,1),7747(a,1,1)),flip(a)]. 7755 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6443,a,7749,a)]. 7757 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(273,a,6424,a,b,7749,a)]. 7760 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(7749(a,2),5499(a,1,2))]. 7761 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(5142(a,1),7752(a,1,1,1))]. 7762 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(6775(a,1),7757(a,1,1,1)),flip(a)]. 7763 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(273,a,5525,a(flip),b,7743,a),flip(a)]. 7764 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7463(a,1),7754(a,1,2))]. 7765 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(62,a,5648,a(flip),b,7764,a),flip(a)]. 7766 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(245,a,7765,a)]. 7767 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(5290(a,1),7741(a,1,1))]. 7768 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(273,a,5652,a(flip),b,7767,a),flip(a)]. 7769 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(62,a,6771,a,b,7768,a)]. 7770 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7750(a,2),1593(a,2,1,2))]. 7771 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(62,a,7719,a(flip),b,7734,a)]. 7773 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(12(a,1),7771(a,1,2,2)),flip(a)]. 7774 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5506(a,1),7366(a,1,2))]. 7775 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5506(a,1),7774(a,2,2))]. 7776 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(7775(a,1),437(a,1,2)),flip(a)]. 7777 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4225(a,1),7776(a,1,2,1))]. 7778 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4225(a,1),7777(a,2,2,2))]. 7779 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(7778(a,1),4258(a,1,1))]. 7780 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(273,a,7501,a(flip),b,7512,a),flip(a)]. 7783 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7543(a,2),6620(a,1))]. 7784 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(7726(a,1),3856(a,1,1)),flip(a)]. 7785 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(7726(a,1),7234(a,1,2))]. 7786 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(273,a,417,a(flip),b,7748,a),flip(a)]. 7787 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(27(a,2),7499(a,1,1))]. 7788 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(7700(a,1),6267(a,1,1,1)),flip(a)]. 7790 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5086(a,1),7725(a,1,1,1))]. 7791 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5081(a,1),7790(a,1,1)),flip(a)]. 7792 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(273,a,25,a,b,7791,a),flip(a)]. 7793 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(7792(a,1),29(a,1,1)),flip(a)]. 7794 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(62,a,7710,a(flip),b,7733,a),flip(a)]. 7795 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2621(a,1),7787(a,2,1,1))]. 7796 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7354(a,1),7363(a,1,2,2)),flip(a)]. 7797 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(273,a,5571,a(flip),b,7796,a),flip(a)]. 7799 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(62,a,5732,a(flip),b,7797,a),flip(a)]. 7800 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(7414(a,1),1730(a,2,2))]. 7801 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(62,a,7269,a(flip),b,7553,a),flip(a)]. 7802 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(62,a,5925,a(flip),b,7801,a)]. 7803 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(193(a,1),7801(a,1,1,2)),flip(a)]. 7805 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(7803(a,2),6654(a,1))]. 7806 K(L(x \ 1,x,y),((z * x) \ z) \ z) = K(x \ 1,z * x). [hyper(273,a,6513,a(flip),b,7618,a),flip(a)]. 7807 K(L(x \ 1,x,y),L(x \ 1,x,z) \ z) = K(x \ 1,z * x). [para(192(a,2),7806(a,1,2,1))]. 7808 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5095(a,1),7643(a,1,2)),flip(a)]. 7810 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7673(a,1),7589(a,1))]. 7811 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(7680(a,1),6508(a,1,2))]. 7812 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4568(a,1),7712(a,1,2))]. 7813 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,K(y,z) * (y \ u),w)). [para(5754(a,1),7714(a,2,2,2))]. 7814 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(273,a,29,a(flip),b,7793,a),flip(a)]. 7815 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(62,a,6191,a(flip),b,7812,a),flip(a)]. 7816 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(5134(a,1),7815(a,1,2,1)),flip(a)]. 7817 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5387(a,1),7816(a,1,2,2)),flip(a)]. 7818 R(K(x,T(y * K(z,y),z)),u,w) = R(K(x,y),K(y,z) * u,w). [hyper(273,a,6193,a(flip),b,7813,a),flip(a)]. 7819 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5134(a,1),7818(a,1,1,2)),flip(a)]. 7820 R(K(x,y \ z),(y \ z) * y,u) = R(K(x,y \ z),z,u). [para(5087(a,1),7819(a,1,2))]. 7821 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [hyper(62,a,6191,a(flip),b,7820,a),flip(a)]. 7822 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(6425(a,1),7683(a,1,2,1))]. 7823 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(6476,a,7745,a),flip(a)]. 7825 K(K(x,y) * z,x) = K(z,x). [hyper(62,a,7418,a(flip),b,7823,a),flip(a)]. 7826 K(L(x,K(y,z),u),y) = K(x,y). [hyper(62,a,7823,a,b,7825,a)]. 7827 K(K(x,y) \ z,x) = K(z,x). [para(10(a,1),7825(a,1,1)),flip(a)]. 7828 K(K(x,y) * z,y) = K(z,y). [para(5387(a,1),7825(a,1,1)),flip(a)]. 7829 K(T(x,y) * z,x) = K(x * z,x). [para(5178(a,1),7825(a,1,1))]. 7831 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6176(a,1),7825(a,1,1,1))]. 7832 K(x * (K(y,z) * u),z) = K(x * u,z). [para(6362(a,1),7825(a,1,1)),flip(a)]. 7835 K(x * T(y,z),z) = K(x * y,z). [para(5891(a,1),7828(a,1,1))]. 7836 K(x \ T(y,z),z) = K(x \ y,z). [para(5890(a,1),7828(a,1,1))]. 7838 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(256(a,1),7826(a,1,1))]. 7839 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [para(7829(a,1),5163(a,2,2)),flip(a)]. 7840 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(6524(a,1),7835(a,1,1,2)),flip(a)]. 7841 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6774(a,1),7835(a,1,1)),flip(a)]. 7842 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(22(a,1),7836(a,1,1,2))]. 7843 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(110(a,1),7836(a,1,1,2)),flip(a)]. 7844 K((K(x,y) * z) * u,x) = K(z * u,x). [para(104(a,1),7831(a,1,1))]. 7845 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6845(a,1),7831(a,1,1,1))]. 7846 K(x * T(y,z),y) = K(x * y,y). [para(5127(a,1),7832(a,1,1,2)),flip(a)]. 7847 K(x * K(y,z),y) = K(x,y). [para(5374(a,1),7832(a,1,1)),flip(a)]. 7848 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5387(a,1),7832(a,1,1,2)),flip(a)]. 7850 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5866(a,1),7832(a,1,1,2))]. 7851 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5890(a,1),7832(a,1,1,2))]. 7853 K(x * L(K(y,z),u,w),y) = K(x,y). [para(6161(a,1),7847(a,1,1,2))]. 7854 K(x * T(y,z),y) = K(y * x,y). [hyper(273,a,5626,a(flip),b,7846,a),flip(a)]. 7855 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(7846(a,2),5984(a,1,1,1,2))]. 7856 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(273,a,7829,a,b,7854,a)]. 7857 K(x * (y * K(z,u)),z) = K(x * y,z). [para(94(a,1),7853(a,1,1))]. 7858 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(7843(a,1),5829(a,1,1,1,2))]. 7859 K(x * K(y,z),z) = K(x,z). [para(5374(a,1),7848(a,1,1)),flip(a)]. 7861 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7848(a,1),5831(a,1,2,1,2)),flip(a)]. 7862 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7848(a,1),5833(a,1,2,1,2)),flip(a)]. 7863 K(x * K(y,z),z) = 1 / K(z,x). [hyper(273,a,5370,a,b,7859,a),flip(a)]. 7864 K(x / (y / z),z) = K(x / (z \ y),z). [para(6601(a,1),7859(a,1,1))]. 7865 K(x * K(y,T(z,u)),z) = K(x,z). [para(7501(a,1),7859(a,1,1,2))]. 7866 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7502(a,1),7859(a,1,1,2))]. 7867 K(x,y * K(z,x)) = K(x,y). [hyper(5390,a,7863,a)]. 7868 K(x * K(y,z),z) != u | K(x,z) = u. [para(7863(a,2),5376(a,1))]. 7869 K(x,y / K(z,x)) = K(x,y). [para(12(a,1),7867(a,1,2)),flip(a)]. 7870 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7867(a,1),4562(a,1,1))]. 7871 L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. [para(7867(a,1),5320(a,1,1,2))]. 7872 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(7867(a,1),6191(a,1,1))]. 7874 K(x,K(y,x) * z) = K(x,z). [para(7505(a,1),7867(a,1,2))]. 7875 K(x,K(x,y) * z) = K(x,z). [para(7509(a,1),7867(a,1,2)),flip(a)]. 7876 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(6634,a,7869,a),flip(a)]. 7877 K(x,y / L(K(z,x),u,w)) = K(x,y). [para(6260(a,1),7869(a,1,2,2))]. 7878 K(x,K(y,x) \ z) = K(x,z). [para(10(a,1),7874(a,1,2)),flip(a)]. 7879 K(x,T(x,y) \ z) = K(x,x \ z). [para(5518(a,1),7874(a,1,2))]. 7880 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5995(a,1),7874(a,1,2,1))]. 7882 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5884(a,1),7865(a,1,1))]. 7885 K(x,y / T(x,z)) = K(x,x \ y). [hyper(62,a,7488,a,b,7879,a)]. 7887 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. [para(7885(a,1),5523(a,2,1))]. 7888 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(5886(a,1),7868(a,1,1))]. 7889 K(x,y * (z * K(u,x))) = K(x,y * z). [para(169(a,1),7877(a,1,2)),flip(a)]. 7890 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6191(a,1),7880(a,1,2,1))]. 7891 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5132(a,1),7890(a,1,2)),flip(a)]. 7892 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5518(a,1),7890(a,1,2))]. 7893 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5751(a,1),7890(a,1,2))]. 7894 K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). [para(7856(a,1),7780(a,1,1,1,1,2)),flip(a)]. 7895 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7882(a,1),5732(a,1,1,2))]. 7896 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(261(a,1),7889(a,1,2,2))]. 7897 K(x,y * T(x,z)) = K(x,y * x). [para(5118(a,1),7889(a,1,2,2)),flip(a)]. 7898 K(x,y * K(x,z)) = K(x,y). [para(5374(a,1),7889(a,1,2)),flip(a)]. 7899 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(5194(a,1),7889(a,1,2,2))]. 7900 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(6260(a,1),7889(a,1,2,2,2))]. 7901 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7509(a,1),7889(a,1,2,2)),flip(a)]. 7902 K(x,y * K(x,z)) = x \ T(x,y). [hyper(273,a,5111,a(flip),b,7898,a),flip(a)]. 7906 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7898(a,1),6436(a,1,1)),flip(a)]. 7907 T(x,y * K(x,z)) = T(x,y). [hyper(5166,a,7902,a)]. 7908 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7902(a,2),5239(a,1))]. 7910 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7907(a,1),210(a,1,2,1))]. 7913 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7907(a,1),4228(a,1,2,1))]. 7915 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6161(a,1),7907(a,1,2,2))]. 7916 T(x,y * T(x,z)) = T(x,y * x). [para(6425(a,1),7907(a,1,2))]. 7918 T(x,y * T(x,z)) = T(x,x * y). [hyper(273,a,4300,a(flip),b,7916,a),flip(a)]. 7920 R(T(x,x * y),y,T(x,z)) = T(x,y). [para(7918(a,1),1477(a,1,1))]. 7922 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7107(a,1),7915(a,1,2,2))]. 7923 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [para(10(a,1),7920(a,1,1,2))]. 7926 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(86(a,1),7922(a,1,2))]. 7927 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6362(a,1),7901(a,1,2,2)),flip(a)]. 7928 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(22(a,1),7888(a,1,1,2))]. 7929 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(273,a,109,a(flip),b,7923,a),flip(a)]. 7930 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(6787(a,1),7851(a,1,1,2))]. 7931 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1238(a,1),7866(a,1,1))]. 7932 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7870(a,1),4753(a,1))]. 7933 K(x,y * x) != z | K(x,x * y) = z. [para(86(a,1),7932(a,1,2))]. 7935 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(5886(a,1),7932(a,1,2))]. 7936 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(94(a,1),7900(a,1,2,2))]. 7937 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(273,a,7827,a(flip),b,7838,a),flip(a)]. 7939 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7486(a,1),7937(a,1,1,1)),flip(a)]. 7940 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(6698,a,7939,a)]. 7941 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(96(a,2),7939(a,1,1))]. 7942 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6161(a,1),7940(a,1,1,2))]. 7943 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(7942(a,1),5830(a,1,1,1,2)),flip(a)]. 7944 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(27(a,2),7892(a,1,2,1))]. 7945 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(938(a,1),7892(a,1,2)),flip(a)]. 7946 K(x,y * (z * K(x,u))) = K(x,y * z). [para(5374(a,1),7927(a,1,2,2)),flip(a)]. 7947 K(x,y * (z * (K(x,u) * w))) = K(x,y * (z * w)). [para(5387(a,1),7927(a,1,2,2,2)),flip(a)]. 7948 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(6161(a,1),7946(a,1,2,2,2))]. 7949 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6681(a,1),7931(a,1,1)),flip(a)]. 7950 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(62,a,7596,a,b,7944,a)]. 7952 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(62,a,6896,a(flip),b,7855,a)]. 7954 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7952(a,1),1081(a,1,1))]. 7955 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [para(7952(a,1),4288(a,1,2)),flip(a)]. 7956 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5134(a,1),7952(a,1,1)),flip(a)]. 7957 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7952(a,1),7443(a,1,2))]. 7958 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(27(a,1),7957(a,1,2))]. 7959 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(7929(a,1),7958(a,1,2,1))]. 7960 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(4520(a,1),7955(a,2,2))]. 7961 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(62,a,7418,a(flip),b,7941,a),flip(a)]. 7963 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5087(a,1),7961(a,1,1,2))]. 7964 K(x \ (y * z),z) = K(x \ (z * y),z). [para(5132(a,1),7961(a,1,1,2))]. 7965 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5387(a,1),7961(a,1,1,2)),flip(a)]. 7966 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(5204(a,1),7961(a,1,1,2))]. 7967 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5269(a,1),7961(a,1,1,2))]. 7968 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5518(a,1),7961(a,1,1,2))]. 7970 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5866(a,1),7961(a,1,1,2))]. 7971 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5891(a,1),7961(a,1,1,2))]. 7972 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(202(a,1),7971(a,1,1)),flip(a)]. 7973 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(7966(a,1),6863(a,1,1))]. 7974 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(7967(a,1),5835(a,1,1,1,2))]. 7976 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7846(a,1),7906(a,2,2))]. 7978 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(273,a,5810,a(flip),b,7976,a),flip(a)]. 7981 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(62,a,5675,a(flip),b,7841,a)]. 7982 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(62,a,6452,a(flip),b,7910,a)]. 7984 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(62,a,7803,a,b,7970,a)]. 7985 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(273,a,5671,a(flip),b,7981,a),flip(a)]. 7986 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(7982(a,1),442(a,1,2))]. 7987 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(62,a,4562,a(flip),b,7973,a),flip(a)]. 7989 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5134(a,1),7956(a,1,1)),flip(a)]. 7990 R(x,y,x * K(z,x)) = R(x,y,x). [para(5134(a,1),7989(a,1,3)),flip(a)]. 7991 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5176(a,1),7990(a,1,3))]. 7992 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(7493(a,1),7616(a,1,2))]. 7993 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5999(a,1),7666(a,1,1,2))]. 7994 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3548(a,1),7676(a,1,3))]. 7997 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(62,a,7773,a(flip),b,7723,a)]. 7999 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(110(a,1),7997(a,1,2)),flip(a)]. 8000 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(62,a,7893,a(flip),b,7999,a)]. 8001 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). [hyper(273,a,6150,a(flip),b,7788,a),flip(a)]. 8002 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(62,a,7409,a(flip),b,8001,a),flip(a)]. 8004 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6425(a,1),8002(a,1,2))]. 8005 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(7486(a,1),8002(a,1,2)),flip(a)]. 8006 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(5087(a,1),8005(a,1,2))]. 8007 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(5995(a,1),8005(a,1,2,1))]. 8008 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(62,a,7687,a(flip),b,8006,a)]. 8009 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(273,a,7688,a(flip),b,8004,a),flip(a)]. 8010 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7844(a,1),7799(a,1,1,2))]. 8011 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(62,a,5732,a(flip),b,8010,a),flip(a)]. 8013 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(8011(a,1),7065(a,2,2,2,1,1))]. 8014 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(5832,a,7858,a),flip(a)]. 8015 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(273,a,5831,a(flip),b,7861,a),flip(a)]. 8016 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(5387(a,1),8015(a,1,2)),flip(a)]. 8017 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6260(a,1),8016(a,1,2,1))]. 8018 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(273,a,5833,a(flip),b,7862,a),flip(a)]. 8019 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5387(a,1),8018(a,1,1)),flip(a)]. 8020 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5387(a,1),8019(a,1,1)),flip(a)]. 8021 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5995(a,1),8019(a,1,1,1))]. 8022 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [para(8020(a,1),5163(a,2,2)),flip(a)]. 8023 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6487,a,8022,a),flip(a)]. 8024 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(62,a,7627,a(flip),b,7895,a)]. 8026 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(62,a,5732,a(flip),b,8024,a),flip(a)]. 8027 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(273,a,4236,a(flip),b,7960,a),flip(a)]. 8028 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(117,a,7702,a),flip(a)]. 8029 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4804(a,1),8028(a,1,1)),flip(a)]. 8030 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(62,a,6315,a,b,8029,a)]. 8031 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(273,a,5830,a(flip),b,7943,a),flip(a)]. 8032 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(27(a,2),7945(a,1,2,2,2,1))]. 8033 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(9(a,1),8032(a,1,2))]. 8035 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(12(a,1),7711(a,1,2))]. 8036 T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. [para(5882(a,1),7729(a,1,1)),flip(a)]. 8037 T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. [para(9(a,1),8036(a,2,1,1,2,1))]. 8038 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(7727(a,1),8037(a,1,1)),flip(a)]. 8039 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(273,a,7780,a(flip),b,7894,a),flip(a)]. 8040 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(107(a,1),8039(a,1,2,1,1,1)),flip(a)]. 8041 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(273,a,11,a(flip),b,7405,a),flip(a)]. 8043 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(7386(a,1),8041(a,1,3))]. 8044 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5701(a,1),6802(a,1,1,2))]. 8045 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(273,a,622,a(flip),b,8044,a),flip(a)]. 8047 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(129,a,8045,a)]. 8048 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(35,a,5419,a,b,8045,a)]. 8049 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(108(a,1),8047(a,1,2)),flip(a)]. 8050 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5387(a,1),8048(a,1,2,2)),flip(a)]. 8051 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5387(a,1),8050(a,2,2))]. 8052 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7110(a,1),8050(a,1,2,1)),flip(a)]. 8053 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5423,a,8051,a)]. 8054 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(8053(a,1),1933(a,1,1,1,1))]. 8055 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(212,a,7410,a,b,8049,a)]. 8056 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(6366,a,8055,a),flip(a)]. 8058 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(8055(a,2),252(a,1))]. 8061 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(6264(a,1),8056(a,2,2))]. 8062 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7110(a,1),8052(a,1,1))]. 8063 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(6264(a,1),8061(a,1,1,2))]. 8064 T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). [hyper(4933,a,8063,a),flip(a)]. 8065 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(y,x),z,u) \ T(w,K(x,v5)). [para(6287(a,1),8064(a,1,1))]. 8066 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(273,a,6287,a(flip),b,8065,a),flip(a)]. 8067 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(273,a,209,a(flip),b,8066,a),flip(a)]. 8068 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(108(a,1),8067(a,1,1))]. 8069 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). [para(256(a,1),6832(a,1,2)),flip(a)]. 8070 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). [hyper(273,a,6485,a(flip),b,8069,a),flip(a)]. 8071 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). [para(256(a,1),8070(a,1,2))]. 8072 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). [hyper(273,a,7014,a(flip),b,8071,a),flip(a)]. 8073 x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(8072(a,1),6040(a,2,2)),flip(a)]. 8074 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(64(a,1),8073(a,1,2,1))]. 8075 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(33,a,6973,a(flip),b,8074,a),flip(a)]. 8076 K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). [hyper(33,a,4834,a(flip),b,8074,a),flip(a)]. 8077 (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). [hyper(116,a,8074,a(flip),b,6993,a)]. 8078 (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(8074(a,1),766(a,2,1,1))]. 8079 K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). [para(10(a,1),8076(a,1,1))]. 8080 K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). [para(8079(a,1),5370(a,1,2)),flip(a)]. 8081 K((x \ y) \ (x \ 1),y) = K(y \ 1,y). [hyper(273,a,5370,a(flip),b,8080,a),flip(a)]. 8082 K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). [para(9(a,1),8081(a,1,1,1)),flip(a)]. 8083 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(77(a,1),8075(a,1,2,2))]. 8084 x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(8083(a,2),2660(a,1,2))]. 8085 x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(5723(a,1),8084(a,1,2))]. 8086 x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(5688(a,1),8085(a,1,2))]. 8087 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). [para(74(a,1),8086(a,1,2,1,1)),flip(a)]. 8089 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). [hyper(273,a,8074,a(flip),b,8087,a),flip(a)]. 8090 (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(8089(a,1),3698(a,1,1))]. 8091 x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [hyper(34,a,7015,a,b,8090,a)]. 8092 (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. [para(8091(a,1),6992(a,1,1))]. 8093 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4263(a,1),7061(a,1,2))]. 8094 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(273,a,5822,a(flip),b,8093,a),flip(a)]. 8095 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7431(a,1),8094(a,1,1,1,1))]. 8096 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6871(a,1),8095(a,1,1))]. 8098 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(5102(a,2),7184(a,1,2,1,2)),flip(a)]. 8099 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(10(a,1),7811(a,1,2,2,1))]. 8100 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6710,a,8099,a),flip(a)]. 8102 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(62,a,6109,a(flip),b,4485,a),flip(a)]. 8103 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(62,a,5844,a(flip),b,8102,a),flip(a)]. 8105 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(62,a,5844,a(flip),b,8103,a),flip(a)]. 8107 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3779(a,1),4871(a,1,1,2))]. 8108 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(5163(a,2),6559(a,2,1,2))]. 8110 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6425(a,1),8108(a,2,2))]. 8112 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = R(x,y,T(z,u)). [hyper(273,a,20,a,b,8110,a),flip(a)]. 8114 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [para(6548(a,1),8112(a,1,3))]. 8116 (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(6990(a,1),8078(a,1,1,2))]. 8118 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. [para(8074(a,1),8116(a,1,1))]. 8119 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. [para(8077(a,1),8118(a,2,1))]. 8120 K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. [hyper(62,a,8092,a(flip),b,8119,a),flip(a)]. 8121 (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. [hyper(62,a,6993,a(flip),b,8120,a)]. 8122 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3779(a,1),8107(a,1,2))]. 8123 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(62,a,4772,a(flip),b,8122,a)]. 8124 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4876(a,1),8123(a,1,1))]. 8125 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(14(a,2),8124(a,1,1,1))]. 8126 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(2640,a,8125,a),flip(a)]. 8129 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(3007(a,1),8126(a,1,2))]. 8130 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(6547(a,1),6550(a,1,1,2,1,1)),flip(a)]. 8131 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(9(a,1),8130(a,2,1,2,1))]. 8132 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(6547(a,1),8131(a,1,1)),flip(a)]. 8133 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(7176,a,8132,a),flip(a)]. 8134 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(5206(a,1),6797(a,1,1,1))]. 8135 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(27(a,2),8134(a,1,1))]. 8136 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(4218(a,1),8135(a,1,2)),flip(a)]. 8137 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(291,a,8136,a),flip(a)]. 8138 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(273,a,7353,a(flip),b,8137,a),flip(a)]. 8139 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(62,a,8027,a,b,8138,a)]. 8140 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(273,a,4808,a(flip),b,6826,a),flip(a)]. 8141 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(273,a,1140,a(flip),b,8140,a),flip(a)]. 8142 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1754(a,1),8141(a,1,2))]. 8143 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(115,a,5053,a(flip),b,8142,a)]. 8144 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6830(a,1),6950(a,1,2,2))]. 8145 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(77(a,1),7194(a,2,2,2,1,1,2))]. 8146 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(77(a,1),8145(a,1,2))]. 8147 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(8146(a,1),7075(a,1,1))]. 8148 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6809,a,8147,a)]. 8149 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(108(a,1),8148(a,1,2,2)),flip(a)]. 8150 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(273,a,7501,a(flip),b,8149,a),flip(a)]. 8151 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5137(a,1),7718(a,1,1))]. 8152 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(636,a,8151,a),flip(a)]. 8153 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5489(a,1),8152(a,1,2)),flip(a)]. 8154 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(5224(a,1),4604(a,1,1,1,1))]. 8155 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6892(a,1),8154(a,1,1))]. 8156 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(273,a,5730,a(flip),b,8155,a),flip(a)]. 8157 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(30(a,1),8156(a,1,1,2))]. 8158 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(5138(a,1),6709(a,2,2))]. 8159 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(273,a,6491,a(flip),b,8158,a),flip(a)]. 8161 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(62,a,4654,a(flip),b,8159,a)]. 8162 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(62,a,2159,a(flip),b,6790,a),flip(a)]. 8164 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(7213(a,1),8162(a,1,1,2,1,2))]. 8165 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(62,a,5835,a(flip),b,7974,a),flip(a)]. 8166 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(5316(a,1),8165(a,1,2)),flip(a)]. 8167 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(11(a,1),8054(a,1,1,1)),flip(a)]. 8169 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1015(a,1),6147(a,2,1))]. 8170 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(62,a,8169,a(flip),b,6148,a),flip(a)]. 8171 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1015(a,1),8170(a,1,1)),flip(a)]. 8172 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). [para(10(a,1),6310(a,1,2,1,1,2)),flip(a)]. 8173 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). [para(6544(a,1),8172(a,2,2))]. 8174 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). [para(6464(a,1),8173(a,2,2))]. 8175 (x * y) * ((y * x) \ y) = y * K(x,y). [para(5132(a,1),8174(a,1,1))]. 8177 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(274,a,8175,a)]. 8178 (x * (y / x)) \ x = y \ (y / (y / x)). [para(5208(a,2),8177(a,1,2)),flip(a)]. 8179 x * ((y * (x / y)) \ y) = x / (x / y). [hyper(131,a,8178,a(flip))]. 8180 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). [para(9(a,1),6521(a,2,2,2,1))]. 8182 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. [para(6140(a,2),4519(a,2,1,1))]. 8183 T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. [para(707(a,1),8182(a,1,1,2))]. 8184 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6137(a,2),8183(a,1,1)),flip(a)]. 8185 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(176,a,8184,a)]. 8186 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(8184(a,1),232(a,1,2)),flip(a)]. 8187 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(8184(a,1),5110(a,2,2)),flip(a)]. 8188 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(8184(a,1),5382(a,1,2,1))]. 8189 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(8009(a,1),8185(a,1,2)),flip(a)]. 8190 K(K(x,y),z) = K(z,K(y,x)). [hyper(5460,a,8187,a)]. 8191 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(2234,a,8187,a)]. 8192 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(62,a,6712,a,b,8187,a)]. 8193 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(8187(a,1),5460(a,1))]. 8194 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6657(a,1),8187(a,1,2))]. 8195 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7460(a,2),8187(a,1,2))]. 8196 x * K(K(y,z),x) = T(x,K(z,y)). [para(8190(a,2),5163(a,2,2)),flip(a)]. 8197 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(8190(a,1),5173(a,2,1)),flip(a)]. 8198 K(x,K(y,z)) * K(x,K(z,y)) = 1. [para(8190(a,1),5371(a,1,1))]. 8199 K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. [para(8190(a,1),5391(a,1,1))]. 8200 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(8190(a,1),5178(a,1,1))]. 8201 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5313,a,8196,a)]. 8202 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(62,a,5176,a(flip),b,8196,a),flip(a)]. 8203 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(8196(a,1),5174(a,1,1))]. 8204 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(8196(a,1),5313(a,1))]. 8205 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(8196(a,1),5332(a,1,1))]. 8206 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(7602,a,8201,a),flip(a)]. 8207 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(8201(a,1),48(a,1)),flip(a)]. 8208 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(8201(a,1),7476(a,1,2,2)),flip(a)]. 8211 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(7507(a,1),8204(a,1,1)),flip(b)]. 8213 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(62,a,6663,a(flip),b,8191,a)]. 8214 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [para(8195(a,1),7540(a,1,1))]. 8217 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(8203(a,1),7954(a,1,2,1))]. 8218 (x * K(y,z)) * K(z,y) = x. [hyper(39,a,5418,a(flip),b,8206,a),flip(a)]. 8220 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(8206(a,1),7528(a,1,2))]. 8221 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6708,a,8218,a),flip(a)]. 8222 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(6669,a,8218,a),flip(a)]. 8223 (x \ y) * K(y,x) = x \ T(y,x). [hyper(6482,a,8218,a),flip(a)]. 8224 x / K(y,z) = x * K(z,y). [hyper(279,a,8218,a),flip(a)]. 8226 (x * K(y,z)) \ x = K(z,y). [hyper(122,a,8218,a)]. 8227 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(115,a,109,a,b,8218,a)]. 8228 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(34,a,6601,a,b,8218,a),flip(a)]. 8229 (x * T(y,z)) * K(z,y) = x * y. [hyper(34,a,6425,a,b,8218,a),flip(a)]. 8230 (x / y) * K(z,y) = x / T(y,z). [hyper(34,a,6421,a,b,8218,a),flip(a)]. 8231 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(34,a,5611,a,b,8218,a),flip(a)]. 8232 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(34,a,5559,a,b,8218,a),flip(a)]. 8233 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(34,a,6600,a(flip),b,8218,a),flip(a)]. 8234 (x * K(y,z)) / z = x / T(z,y). [hyper(116,a,8218,a(flip),b,6424,a),flip(a)]. 8235 x \ ((x * K(y,z)) * (K(z,y) * u)) = L(u,K(z,y),x * K(y,z)). [para(8218(a,1),18(a,2,1)),flip(a)]. 8238 x * K(y,z) != u | u * K(z,y) = x. [para(8218(a,1),43(a,1)),flip(a)]. 8239 x / K(y,z) != u | x * K(z,y) = u. [para(8218(a,1),280(a,1,1))]. 8240 (x * K(y,z)) \ x != u | K(z,y) = u. [para(8218(a,1),288(a,1,2))]. 8241 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(8218(a,1),94(a,1,1))]. 8242 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(8218(a,1),105(a,2,1))]. 8244 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(8218(a,1),636(a,1,1,2))]. 8245 (x * K(y,z)) * T(z,y) = x * z. [para(8218(a,1),6411(a,1,1)),flip(a)]. 8246 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(8218(a,1),7081(a,1,1)),flip(a)]. 8247 K(x * (y * K(z,u)),u) = K(x * y,u). [para(8218(a,1),7857(a,1,1,2)),flip(a)]. 8248 T(x,y * K(z,x)) = T(x,y). [para(8218(a,1),7907(a,1,2)),flip(a)]. 8250 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(8218(a,1),7937(a,1,1,1)),flip(a)]. 8251 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(8218(a,1),8002(a,1,2)),flip(a)]. 8252 (x / T(y,z)) / K(z,y) = x / y. [hyper(273,a,6421,a(flip),b,8224,a),flip(a)]. 8253 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [hyper(62,a,5381,a,b,8224,a)]. 8254 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(115,a,6468,a(flip),b,8224,a(flip))]. 8256 (x * K(y,z)) * K(z,y) != u | u = x. [para(8224(a,1),330(a,1,1))]. 8257 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(8224(a,1),259(a,1,1))]. 8259 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(8224(a,1),2047(a,1,1,2))]. 8260 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(8224(a,1),3873(a,1,1,2))]. 8261 x / (K(y,z) \ 1) = x * K(y,z). [para(5368(a,2),8224(a,1,2))]. 8263 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(8224(a,1),5857(a,2,2))]. 8264 (K(x,y) * z) * (K(y,x) * u) = K(x,y) * ((z * K(y,x)) * u). [para(8224(a,1),5393(a,2,2,1))]. 8265 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7501(a,1),8224(a,1,2))]. 8267 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [hyper(7106,a,8226,a),flip(a)]. 8270 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(273,a,6162,a(flip),b,8226,a),flip(a)]. 8271 (x / T(y,z)) * y = x * K(z,y). [hyper(38,a,6471,a,b,8226,a)]. 8273 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) = K(x,y). [para(3470(a,1),8226(a,1,1))]. 8274 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(8226(a,2),5388(a,1,1))]. 8275 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6455(a,2),8226(a,1,1))]. 8276 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(6505(a,2),8226(a,1,1))]. 8277 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6843(a,1),8226(a,1,1,2)),flip(a)]. 8279 (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). [para(7178(a,1),8226(a,1,1,2))]. 8280 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(8226(a,2),7655(a,1))]. 8281 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(7817(a,1),8226(a,1,1,2)),flip(a)]. 8282 x \ T(x * y,x) = y * K(x * y,x). [para(9(a,1),8223(a,1,1)),flip(a)]. 8283 (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). [para(8223(a,1),18(a,2,1)),flip(a)]. 8286 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(8229(a,1),6411(a,1,1)),flip(a)]. 8287 (x / y) * K(x,y) = T(x,y) / y. [hyper(273,a,4222,a,b,8230,a),flip(a)]. 8289 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(115,a,8230,a(flip),b,5083,a(flip)),flip(a)]. 8290 (x * y) / T(T(x,y),z) = y * K(z,T(x,y)). [para(170(a,1),8230(a,1,1)),flip(a)]. 8292 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [para(7501(a,1),8230(a,1,2))]. 8293 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(8230(a,1),7857(a,1,1,2))]. 8294 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(8231(a,1),105(a,2,2))]. 8295 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(8234(a,1),110(a,1,1))]. 8296 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(110(a,1),8234(a,2,2))]. 8297 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(8234(a,1),4391(a,1,1,2))]. 8298 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(8234(a,1),6610(a,1,1)),flip(a)]. 8299 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(8234(a,1),7110(a,1,1,2)),flip(a)]. 8300 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(122,a,8245,a)]. 8301 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(116,a,5182,a(flip),b,8245,a)]. 8302 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(115,a,10,a(flip),b,8245,a)]. 8306 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6612(a,1),8245(a,1,1)),flip(a)]. 8310 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(8254(a,1),225(a,1,2))]. 8313 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(212,a,8261,a(flip),b,5387,a),flip(a)]. 8315 x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. [hyper(34,a,6145,a,b,8271,a),flip(a)]. 8321 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5744,a,8287,a)]. 8323 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) != u | L(z,K(x,y),x / y) = u. [para(8287(a,1),453(a,1,1))]. 8325 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6916(a,1),8300(a,1,1,2)),flip(a)]. 8326 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7501(a,1),8300(a,1,1,2))]. 8327 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7501(a,1),8238(a,1,2))]. 8328 T(x,y) != z | x * K(x,y) = z. [para(5117(a,2),8239(a,1))]. 8330 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) != z | K(x,y) = z. [para(3470(a,1),8240(a,1,1))]. 8331 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5819(a,1),8240(a,1,1))]. 8332 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5822(a,1),8240(a,1,1))]. 8333 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(6455(a,2),8240(a,1,1))]. 8335 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6902(a,2),8240(a,1,1))]. 8336 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,(x * y) \ z) = u. [para(6907(a,1),8240(a,1,1))]. 8340 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(62,a,8190,a(flip),b,8213,a),flip(a)]. 8341 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(8233(a,1),861(a,2,1,2))]. 8342 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). [para(8233(a,1),4953(a,1,2,1))]. 8344 K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). [para(1569(a,1),8250(a,1,1,1,2))]. 8345 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(6260(a,1),8251(a,1,2,2))]. 8346 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(8274(a,1),7454(a,1,1)),flip(a)]. 8348 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(809(a,1),8275(a,1,1))]. 8349 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1409(a,1),8275(a,1,1))]. 8350 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(7751(a,1),8275(a,1,1)),flip(a)]. 8351 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(8023(a,2),8275(a,1,1))]. 8352 x * (y * K(x * y,x)) = T(x * y,x). [hyper(131,a,8282,a)]. 8353 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(62,a,4623,a,b,8282,a)]. 8354 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [hyper(62,a,1523,a,b,8282,a)]. 8355 K((x \ 1) \ y,x) = K(x * y,x). [hyper(33,a,6505,a(flip),b,8282,a(flip))]. 8356 x \ T(x * y,x) = y * K(y * x,x). [para(5626(a,2),8282(a,2,2))]. 8357 K((1 / x) \ y,x) = K(x * y,x). [hyper(62,a,5674,a,b,8355,a)]. 8358 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(62,a,5681,a(flip),b,8355,a),flip(a)]. 8359 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(8355(a,1),6899(a,1,1))]. 8360 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(8355(a,1),7005(a,1,2,1,2))]. 8361 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(8355(a,1),7056(a,1,2,1,2))]. 8362 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(8355(a,1),7114(a,1,1))]. 8364 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(115,a,94,a(flip),b,8286,a)]. 8365 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(8286(a,1),4279(a,1,2))]. 8366 T(x / T(y,T(z,u)),y) = y \ (x * K(z,T(y,u))). [para(7501(a,1),8295(a,2,2,2))]. 8367 T(x / y,z) \ x = y * K(z,y \ x). [hyper(38,a,7329,a,b,8302,a)]. 8368 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [para(7617(a,1),8352(a,1,2))]. 8369 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(7840(a,1),8352(a,1,2,2))]. 8370 (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. [para(8356(a,1),6454(a,1,1))]. 8371 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(115,a,8367,a,b,xx)]. 8372 L(K(x,(y \ 1) \ z),y \ 1,y) = y * (T(z / (y \ 1),x) \ z). [para(8367(a,2),226(a,1,2)),flip(a)]. 8375 T(x * y,x) * K(x,y) != z | R(x,y,x) * y = z. [para(1080(a,1),8310(a,1,1))]. 8378 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(273,a,5370,a(flip),b,8189,a),flip(a)]. 8379 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [para(8378(a,1),108(a,1,2))]. 8380 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(62,a,8195,a(flip),b,8194,a),flip(a)]. 8381 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(62,a,8340,a,b,8380,a)]. 8382 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(10(a,1),8380(a,1,1)),flip(a)]. 8383 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(279,a,8222,a),flip(a)]. 8385 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(8228(a,1),7908(a,1,2))]. 8386 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5134(a,1),8246(a,1,2,1))]. 8387 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(12(a,1),8276(a,1,1,2,1)),flip(a)]. 8388 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(273,a,7476,a(flip),b,8290,a),flip(a)]. 8389 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(110(a,1),8292(a,1,2,2))]. 8390 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4181(a,1),8293(a,1,1,2)),flip(a)]. 8391 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(5948(a,1),8296(a,1,1))]. 8393 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(273,a,3171,a,b,8306,a),flip(a)]. 8394 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(5370(a,2),8313(a,1,1))]. 8395 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [hyper(171,a,8315,a),flip(a)]. 8396 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(7482(a,1),8344(a,1,1,1))]. 8397 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(8139(a,1),8396(a,1,1,1)),flip(a)]. 8398 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8353(a,2),5324(a,2,1,2))]. 8399 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(8353(a,2),7371(a,1,2,1))]. 8400 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(7662,a,8358,a)]. 8401 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6570,a,8358,a)]. 8402 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(273,a,7447,a,b,8383,a),flip(a)]. 8404 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(8395(a,2),7144(a,1,2,1))]. 8405 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(8400(a,1),6302(a,1,1,1))]. 8406 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(809(a,1),8333(a,1,1))]. 8407 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(94(a,1),8345(a,1,2))]. 8408 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7482(a,1),8192(a,1,2,2))]. 8409 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6636(a,2),8408(a,1,2))]. 8410 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5239,a,8409,a)]. 8411 K(x,K(y,z)) = K(z,K(y,x)). [hyper(62,a,8381,a(flip),b,8410,a)]. 8412 K(K(x,y),z) = K(x,K(y,z)). [hyper(8193,a,8411,a)]. 8413 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(273,a,8410,a(flip),b,8411,a),flip(a)]. 8414 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8411(a,1),86(a,1,2))]. 8415 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8411(a,1),5126(a,2,1)),flip(a)]. 8416 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8411(a,1),5163(a,2,2)),flip(a)]. 8417 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8411(a,1),5147(a,1,1))]. 8419 K(x,K(y,z)) * K(z,K(x,y)) = 1. [para(8411(a,1),8198(a,1,1))]. 8421 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8411(a,1),8197(a,1,1))]. 8422 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(273,a,5999,a(flip),b,8412,a),flip(a)]. 8423 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(8412(a,1),5118(a,1,2))]. 8424 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8412(a,1),5163(a,2,2)),flip(a)]. 8425 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8412(a,1),5167(a,1,2))]. 8427 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(8412(a,1),5178(a,1,1))]. 8428 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(8412(a,1),5504(a,1,1,1))]. 8429 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(8412(a,1),6266(a,2,1))]. 8430 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8412(a,1),6425(a,1,2))]. 8432 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(8412(a,1),6793(a,1,2))]. 8433 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(7875(a,1),8412(a,1,1)),flip(a)]. 8434 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(7972(a,1),8412(a,1,1)),flip(a)]. 8435 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(83(a,1),8413(a,1,2,2))]. 8436 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6724(a,1),8413(a,1,2))]. 8438 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8416(a,1),7704(a,1,2,2))]. 8439 T(x,T(y,K(z,x))) = T(x,y). [para(8416(a,1),7907(a,1,2))]. 8440 K(x,K(y,z)) = K(y,K(x,z)). [hyper(8199,a,8419,a)]. 8441 K(K(x,y),z) = K(y,K(z,x)). [hyper(5391,a,8419,a)]. 8442 K(K(x,y),z) = K(y,K(x,z)). [hyper(273,a,8412,a,b,8440,a)]. 8443 K(x,K(y,z)) = K(z,K(x,y)). [hyper(273,a,8411,a,b,8440,a),flip(a)]. 8444 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(273,a,8380,a(flip),b,8440,a),flip(a)]. 8445 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8440(a,1),5163(a,2,2)),flip(a)]. 8446 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8440(a,1),5173(a,2,1)),flip(a)]. 8447 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(8440(a,1),5167(a,1,2))]. 8449 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(8440(a,1),5584(a,1,2))]. 8450 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(8440(a,1),6425(a,1,2))]. 8451 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(8440(a,1),6487(a,1,2))]. 8452 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6724(a,2),8440(a,1,2))]. 8453 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7408(a,1),8440(a,1,2)),flip(a)]. 8454 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8440(a,1),8416(a,1,2))]. 8455 K(K(x,y),z) = K(x,K(z,y)). [hyper(273,a,8411,a,b,8441,a),flip(a)]. 8456 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8441(a,1),5163(a,2,2)),flip(a)]. 8457 K(K(x,y),z) = K(z,K(x,y)). [hyper(273,a,8411,a,b,8442,a),flip(a)]. 8458 K(x,K(y,z)) = K(x,K(z,y)). [hyper(62,a,8441,a(flip),b,8442,a)]. 8459 K(x,y) * K(y,K(x,z)) = T(K(x,y),z). [para(8442(a,1),5163(a,2,2)),flip(a)]. 8460 K(x,K(y,z)) * K(y,x) = T(K(y,x),z). [para(8442(a,1),5173(a,2,1)),flip(a)]. 8461 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8442(a,1),5132(a,1,1))]. 8462 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5999(a,1),8442(a,1,1)),flip(a)]. 8463 x * K(K(y,z),x) = T(x,K(y,z)). [para(8442(a,2),8416(a,1,2))]. 8464 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(273,a,8382,a(flip),b,8443,a),flip(a)]. 8466 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8443(a,2),5173(a,2,1)),flip(a)]. 8467 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(8443(a,2),5227(a,1,1))]. 8468 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(8443(a,2),5178(a,1,1))]. 8469 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8443(a,2),5953(a,1,1))]. 8471 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(8443(a,2),6505(a,2,2))]. 8472 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(8443(a,2),6506(a,1,2,2))]. 8473 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7501(a,1),8443(a,1,2))]. 8474 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8443(a,2),8047(a,1,1))]. 8475 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(8443(a,1),8055(a,2,1))]. 8476 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8443(a,2),8214(a,1,1))]. 8477 x * K(x,K(y,z)) = T(x,K(z,y)). [para(8443(a,1),8416(a,1,2))]. 8478 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8443(a,1),8419(a,1,1))]. 8479 (1 / x) * K(y,K(x,z)) = 1 / T(x,K(y,z)). [para(8455(a,1),5128(a,1,2))]. 8481 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(8457(a,1),5163(a,2,2)),flip(a)]. 8483 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8457(a,1),5518(a,1,1))]. 8484 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8457(a,1),5423(a,1,1))]. 8485 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(8457(a,1),5521(a,1,1))]. 8486 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(273,a,8413,a,b,8458,a)]. 8487 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8458(a,1),5173(a,2,1)),flip(a)]. 8489 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6223(a,1),8458(a,1,2)),flip(a)]. 8490 K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). [para(6264(a,1),8458(a,1,2)),flip(a)]. 8491 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7498(a,1),8458(a,1,2)),flip(a)]. 8493 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7518(a,2),8458(a,1,2))]. 8494 T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). [para(8423(a,1),8245(a,1,1)),flip(a)]. 8495 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(273,a,8440,a,b,8436,a),flip(a)]. 8496 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(10(a,1),8436(a,1,2,2)),flip(a)]. 8497 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(7152(a,1),8436(a,1,2)),flip(a)]. 8498 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(8436(a,1),8214(a,1,1))]. 8499 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(273,a,8440,a,b,8444,a),flip(a)]. 8501 T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. [para(7897(a,1),8446(a,1,1,2)),flip(a)]. 8502 T(x,K(y,z)) = T(x,K(z,y)). [hyper(62,a,8416,a(flip),b,8454,a)]. 8503 T(T(x,K(y,z)),K(y,z)) = x. [hyper(8207,a,8502,a)]. 8504 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(8058,a,8502,a),flip(a)]. 8505 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(273,a,7604,a,b,8502,a)]. 8506 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(273,a,5418,a,b,8502,a)]. 8507 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(273,a,8206,a(flip),b,8502,a),flip(a)]. 8508 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(8502(a,1),108(a,1,2))]. 8509 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8502(a,1),4293(a,1,2))]. 8510 T(x,K(y,z)) != u | T(u,K(y,z)) = x. [para(8502(a,1),8207(a,1))]. 8511 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(8502(a,1),8203(a,1,1))]. 8512 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [hyper(712,a,8503,a)]. 8513 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(8503(a,1),214(a,1,2))]. 8514 (x * K(y,z)) / x = T(K(y,z),x). [para(8503(a,1),4385(a,1,2))]. 8515 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8503(a,1),8204(a,1,1)),flip(b)]. 8517 K(x,K(y,x * y)) = 1. [hyper(273,a,3149,a(flip),b,8486,a),flip(a)]. 8518 K(x,K(y,x * y)) = a(K(z,u),u,w). [hyper(273,a,4558,a,b,8517,a),flip(a)]. 8519 T(x,K(y,x * y)) = x. [hyper(55,a,8517,a)]. 8520 T(x / y,K(y,x)) = x / y. [para(12(a,1),8519(a,1,2,2))]. 8521 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(62,a,8440,a,b,8495,a)]. 8522 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(273,a,8443,a,b,8496,a),flip(a)]. 8523 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(8496(a,1),5163(a,2,2))]. 8524 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(6218(a,1),8496(a,1,2))]. 8525 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(8496(a,1),8214(a,1,1))]. 8526 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(10(a,1),8499(a,1,2,1)),flip(a)]. 8527 T(K(x,y),z) * z = z * K(x,y). [hyper(129,a,8514,a)]. 8528 T(T(K(x,y),z),z) = K(x,y). [para(8514(a,1),198(a,1,1))]. 8529 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8514(a,1),582(a,1,1,1))]. 8530 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(8514(a,1),589(a,1,1,1))]. 8531 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [para(6455(a,2),8514(a,1,1))]. 8532 T(K(x \ 1,y),z) = K(x \ K(x,z),y). [hyper(6745,a,8528,a),flip(a)]. 8533 T(K(x,y \ z),z) = K(x,z / y). [hyper(39,a,6647,a,b,8528,a),flip(a)]. 8534 T(K(x \ y,z),y) = K(y / x,z). [hyper(39,a,6524,a,b,8528,a),flip(a)]. 8535 T(K(x,T(y,z)),z) = K(x,y). [hyper(39,a,7460,a(flip),b,8528,a),flip(a)]. 8536 T(K(1 / T(x,y),z),y) = K(1 / x,z). [hyper(39,a,6152,a(flip),b,8528,a),flip(a)]. 8537 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [hyper(39,a,6033,a(flip),b,8528,a),flip(a)]. 8538 T(K(x,T(y,z) \ 1),z) = K(x,y \ 1). [hyper(39,a,6024,a(flip),b,8528,a),flip(a)]. 8540 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8528(a,1),248(a,1,2,2,1))]. 8541 K(x,T(T(y,z),z)) = K(x,y). [hyper(7653,a,8535,a)]. 8542 K(T(x,y),T(z,y)) = K(x,z). [hyper(7600,a,8535,a)]. 8543 x / (x / K(y,z)) = K(y,T(z,x)). [hyper(7422,a,8535,a)]. 8545 K(x \ y,T(z,y)) = K(y / x,z). [hyper(62,a,6524,a(flip),b,8535,a)]. 8546 K(x,T(y \ z,z)) = K(x,z / y). [hyper(39,a,6647,a,b,8535,a),flip(a)]. 8547 T(x,y) != K(z,u) | K(z,T(u,y)) = x. [para(8535(a,1),48(a,1)),flip(a)]. 8548 K(x,T(y,z)) * z = z * K(x,y). [para(8535(a,1),108(a,1,2)),flip(a)]. 8549 T(K(x,y \ z),y) = K(x,z / y). [para(110(a,1),8535(a,1,1,2))]. 8551 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8535(a,1),211(a,1,2,1)),flip(a)]. 8552 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(8535(a,1),584(a,1,2,1)),flip(a)]. 8553 T(K(x \ y,z),x) = K(y / x,z). [para(7518(a,1),8535(a,1,1))]. 8555 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8535(a,1),7684(a,1,2)),flip(a)]. 8556 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(62,a,7516,a,b,8541,a)]. 8557 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(62,a,7515,a,b,8541,a)]. 8558 K(x \ y,T(z,x)) = K(y / x,z). [hyper(62,a,7518,a(flip),b,8541,a)]. 8559 K(x,T(y \ z,y)) = K(x,z / y). [para(110(a,1),8541(a,1,2,1))]. 8560 K(x,(y * z) / y) = K(x,T(z,y)). [para(198(a,1),8541(a,1,2,1)),flip(a)]. 8561 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(731(a,2),8541(a,1,2))]. 8562 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8541(a,1),7524(a,1,1)),flip(a)]. 8565 K(T(x,y),z \ y) = K(x,y / z). [hyper(62,a,7462,a(flip),b,8542,a)]. 8566 K(x / (x / y),z) = K(y,T(z,x)). [hyper(62,a,7455,a(flip),b,8542,a),flip(a)]. 8567 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(25(a,2),8542(a,1,2))]. 8568 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(27(a,2),8542(a,1,2))]. 8569 K(T(x,y),y \ z) = K(x,z / y). [para(110(a,1),8542(a,1,2))]. 8570 K((x * y) / x,z) = K(y,T(z,x)). [para(198(a,1),8542(a,1,1)),flip(a)]. 8571 K(x,(y * z) / y) = K(T(x,y),z). [para(198(a,1),8542(a,1,2)),flip(a)]. 8572 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(704(a,2),8542(a,1,2)),flip(a)]. 8573 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(872(a,1),8542(a,1,1)),flip(a)]. 8574 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1410(a,1),8542(a,1,2))]. 8575 K(T(x,y \ 1),(1 / y) \ z) = K(x,z / (1 / y)). [para(3084(a,1),8542(a,1,2))]. 8576 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(4097(a,1),8542(a,1,1))]. 8577 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4278(a,1),8542(a,1,2))]. 8578 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4295(a,1),8542(a,1,1)),flip(a)]. 8579 K(x * K(y,x),z) = K(x,T(z,y)). [para(5134(a,1),8542(a,1,1)),flip(a)]. 8580 K(x,y * K(z,y)) = K(T(x,z),y). [para(5134(a,1),8542(a,1,2)),flip(a)]. 8581 x * K(T(x,y),T(z,y)) = T(x,z). [para(8542(a,2),5163(a,2,2)),flip(a)]. 8582 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5209(a,1),8542(a,1,1)),flip(a)]. 8584 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(8542(a,1),5570(a,1,1)),flip(a)]. 8585 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). [para(8542(a,1),5734(a,1,1,1,2))]. 8586 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(8542(a,1),6368(a,1,1))]. 8587 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(8542(a,1),7121(a,1,1))]. 8588 K(T(x,y),z) * y = y * K(x,z). [para(8542(a,1),7476(a,1,2)),flip(a)]. 8589 K(x,T(y,z)) \ z = z * K(y,x). [para(8542(a,1),7560(a,1,2)),flip(a)]. 8590 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8542(a,1),7564(a,1,2,2))]. 8591 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(7763(a,1),8542(a,1,1))]. 8592 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(8542(a,1),7828(a,1,1,1))]. 8593 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8542(a,1),7937(a,1,1,1,2))]. 8594 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8542(a,1),7965(a,1,1,2,1))]. 8595 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(5354(a,1),8526(a,2,2))]. 8596 K(x \ y,z) * y = y * K(y / x,z). [para(6524(a,1),8527(a,1,1))]. 8597 K(x,y \ z) * z = z * K(x,z / y). [para(6647(a,1),8527(a,1,1))]. 8598 K(x / y,x / z) = K(y \ x,z \ x). [hyper(62,a,6524,a(flip),b,8533,a),flip(a)]. 8599 R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). [para(8533(a,2),6185(a,1,1))]. 8601 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(62,a,6657,a(flip),b,8534,a)]. 8603 K(x / y,x) != z | K(y \ x,x) = z. [para(8534(a,1),3225(a,1))]. 8604 x / K(x / y,z) = K(y \ x,z) \ x. [para(8534(a,1),7412(a,1,2))]. 8605 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(62,a,7114,a,b,8545,a)]. 8607 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7354(a,1),8545(a,1,2))]. 8608 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(7916(a,1),8545(a,1,2))]. 8609 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [hyper(62,a,7458,a,b,8546,a)]. 8611 K(x,y / (y / z)) = K(x,T(z,y)). [para(77(a,1),8546(a,1,2,1)),flip(a)]. 8612 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5610,a,8548,a)]. 8613 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(34,a,6035,a,b,8548,a),flip(a)]. 8614 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(34,a,7735,a(flip),b,8548,a),flip(a)]. 8615 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(116,a,8548,a(flip),b,5138,a)]. 8616 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8548(a,1),585(a,1,2,1)),flip(a)]. 8617 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(8548(a,1),5429(a,1,1,3)),flip(a)]. 8618 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8548(a,1),7965(a,1,1,2))]. 8620 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(273,a,5837,a,b,8553,a),flip(a)]. 8621 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(62,a,7475,a,b,8553,a)]. 8623 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8553(a,1),7598(a,1))]. 8624 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(7128,a,8558,a)]. 8625 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(14(a,2),8558(a,1,1)),flip(a)]. 8626 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4278(a,1),8558(a,1,2)),flip(a)]. 8627 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(8558(a,1),6419(a,1,2)),flip(a)]. 8628 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(7359(a,1),8558(a,1,2))]. 8629 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7907(a,1),8558(a,1,2))]. 8630 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [hyper(62,a,7516,a,b,8559,a)]. 8632 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(18(a,2),8559(a,1,2,1)),flip(a)]. 8634 K(x,L((y * z) / y,u,w)) = K(x,T(L(z,u,w),y)). [para(759(a,2),8560(a,1,2))]. 8635 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(770(a,1),8560(a,1,2)),flip(a)]. 8636 K(x,y / (y / z)) = K(T(x,y),z). [para(77(a,1),8565(a,1,2)),flip(a)]. 8637 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(8566(a,1),6842(a,1,1)),flip(a)]. 8638 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7326(a,1),8566(a,1,1))]. 8639 K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). [hyper(62,a,7435,a(flip),b,8569,a)]. 8641 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4221(a,1),8569(a,1,1))]. 8642 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8248(a,1),8569(a,1,1))]. 8643 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(62,a,5833,a,b,8570,a)]. 8644 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(62,a,5829,a,b,8570,a)]. 8646 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1467(a,1),8570(a,1,1))]. 8647 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(4070(a,1),8570(a,1,1))]. 8648 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4102(a,1),8570(a,1,1))]. 8649 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(8570(a,1),5163(a,2,2)),flip(a)]. 8650 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(8570(a,1),6167(a,1,1))]. 8651 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(8570(a,1),7413(a,1,2)),flip(a)]. 8652 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(62,a,5338,a,b,8571,a)]. 8653 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(764(a,2),8571(a,1,2))]. 8655 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [hyper(62,a,5633,a,b,8579,a)]. 8656 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(62,a,5594,a,b,8579,a)]. 8658 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7501(a,1),8579(a,1,1,2))]. 8659 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7517(a,1),8579(a,1,1,2)),flip(a)]. 8660 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5069(a,2),8580(a,1,2,2))]. 8661 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(5626(a,2),8580(a,1,2,2))]. 8662 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(8580(a,1),5826(a,1,2,2)),flip(a)]. 8663 K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). [para(5848(a,2),8580(a,1,2,2))]. 8664 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(8580(a,1),5766(a,1,2,1))]. 8665 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5222(a,1),8581(a,1,2,2)),flip(a)]. 8666 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(8581(a,1),8250(a,1,1,1))]. 8667 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(8346(a,1),8588(a,1,1))]. 8668 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(8590(a,1),7692(a,1,2,2,1)),flip(a)]. 8670 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8611(a,1),6949(a,1,2))]. 8672 K(x,K(y,y * x)) = a(K(z,u),u,w). [hyper(62,a,8440,a,b,8518,a)]. 8673 K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). [para(8672(a,2),5580(a,2,2))]. 8674 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7593(a,1),8415(a,1,1,2))]. 8675 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7522(a,1),8421(a,1,1,2)),flip(a)]. 8676 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(273,a,7460,a,b,8424,a),flip(a)]. 8677 T(K(x,y),T(z,T(y,u))) = K(x,y) * K(x,K(y,z)). [para(7471(a,1),8424(a,1,2,2)),flip(a)]. 8679 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7878(a,1),8424(a,1,2,2)),flip(a)]. 8680 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(273,a,8412,a(flip),b,8433,a),flip(a)]. 8681 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(62,a,7460,a(flip),b,8438,a)]. 8682 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7501(a,1),8456(a,1,2,2))]. 8684 K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). [para(8526(a,1),8459(a,1,2))]. 8685 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8460(a,2),7653(a,1))]. 8686 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(62,a,8440,a,b,8473,a)]. 8687 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [hyper(62,a,8526,a(flip),b,8473,a),flip(a)]. 8688 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7640(a,1),8473(a,2,2))]. 8690 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(8238,a,8476,a)]. 8691 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(8499(a,1),8476(a,1,1))]. 8692 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [para(8473(a,2),8476(a,1,1))]. 8693 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(8481(a,1),5833(a,1,2,1))]. 8694 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(6269(a,1),8491(a,2,2,1))]. 8698 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7419(a,1),8506(a,1,2))]. 8699 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(8506(a,1),8050(a,2,2))]. 8700 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(8224(a,2),8506(a,1,2))]. 8701 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(8229(a,1),8506(a,1,2)),flip(a)]. 8703 T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). [para(8507(a,1),8205(a,1,1))]. 8704 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(273,a,8050,a(flip),b,8511,a),flip(a)]. 8705 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(8511(a,1),4900(a,1,2,1)),flip(a)]. 8706 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(273,a,5163,a,b,8523,a),flip(a)]. 8707 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(8523(a,2),5167(a,1))]. 8708 T(x,K(y,y * z)) = T(x,K(y,z)). [para(9(a,1),8706(a,1,2,2)),flip(a)]. 8710 T(K(x * y,z),K(x,y)) = K(x * y,z). [hyper(8211,a,8708,a),flip(a)]. 8711 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(273,a,8502,a,b,8708,a),flip(a)]. 8712 T(K(x,y),K(z,z * x)) = K(x,y). [hyper(273,a,2223,a(flip),b,8708,a),flip(a)]. 8713 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(62,a,8504,a(flip),b,8708,a),flip(a)]. 8714 T(x * y,T(z,K(x,y))) = T(x * y,z). [para(8708(a,1),8439(a,1,2))]. 8716 T(K(x,x * y),K(y,z)) = K(x,x * y). [hyper(53,a,8712,a)]. 8717 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(62,a,8458,a,b,8524,a),flip(a)]. 8718 K(T(x,y) \ 1,z) = K(x \ K(x,y),z). [hyper(62,a,6149,a,b,8532,a)]. 8719 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(62,a,6152,a,b,8536,a)]. 8720 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(62,a,6033,a,b,8537,a)]. 8721 K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). [para(198(a,1),8538(a,1,1,2,1)),flip(a)]. 8722 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(273,a,5762,a,b,8562,a),flip(a)]. 8723 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8562(a,1),5114(a,2,2))]. 8726 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(273,a,8636,a(flip),b,8577,a),flip(a)]. 8727 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5142(a,1),8592(a,1,1)),flip(a)]. 8729 K(x \ y,z) \ (y * K(y / x,z)) != u | y = u. [para(8596(a,1),288(a,1,2))]. 8730 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8596(a,1),7728(a,1,2))]. 8731 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(8596(a,2),8282(a,2,2,1)),flip(a)]. 8732 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(62,a,7987,a(flip),b,8598,a),flip(a)]. 8733 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(8604(a,1),7483(a,1,2,1,2))]. 8734 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(8612(a,1),280(a,1,1))]. 8735 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7691(a,1),8615(a,1,1,2))]. 8736 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(8542(a,1),8618(a,1,1,2,2))]. 8738 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(22(a,2),8620(a,1,1,1)),flip(a)]. 8739 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8676(a,1),42(a,1))]. 8740 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(62,a,8440,a,b,8680,a)]. 8741 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [para(10(a,1),8680(a,1,2,1)),flip(a)]. 8742 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(273,a,8526,a(flip),b,8686,a),flip(a)]. 8743 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(8700(a,1),96(a,2,2))]. 8744 T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). [para(8714(a,1),8612(a,1,1))]. 8745 T(K(x,y * x),K(y,z)) = K(x,x * y). [para(6724(a,2),8716(a,1,1))]. 8746 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(273,a,8496,a(flip),b,8717,a),flip(a)]. 8747 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(74(a,1),8746(a,1,2,1)),flip(a)]. 8748 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(62,a,8458,a,b,8747,a)]. 8749 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(273,a,8458,a,b,8748,a),flip(a)]. 8750 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(62,a,8497,a,b,8748,a)]. 8751 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(62,a,8497,a,b,8749,a)]. 8752 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(273,a,8440,a,b,8750,a),flip(a)]. 8753 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(62,a,8458,a,b,8750,a)]. 8754 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(62,a,8443,a(flip),b,8750,a)]. 8756 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6569(a,1),8750(a,1,2)),flip(a)]. 8757 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(62,a,8443,a,b,8751,a)]. 8758 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(62,a,8443,a(flip),b,8751,a)]. 8759 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(77(a,1),8751(a,1,2,2)),flip(a)]. 8760 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(8751(a,1),5163(a,2,2))]. 8761 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5854(a,1),8751(a,1,2))]. 8762 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5858(a,2),8751(a,1,2))]. 8763 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6569(a,1),8751(a,1,2))]. 8764 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8751(a,1),8424(a,1,2))]. 8765 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(62,a,8458,a,b,8752,a)]. 8766 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(62,a,8443,a(flip),b,8752,a)]. 8767 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(77(a,1),8752(a,1,2,2)),flip(a)]. 8768 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(3637(a,2),8752(a,1,2))]. 8769 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(115,a,8753,a(flip),b,5917,a(flip))]. 8770 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5991(a,2),8753(a,1,2))]. 8771 (1 / x) * K(y,K(x,z)) = T(1 / x,K(y,z)). [para(8754(a,1),5246(a,1,2))]. 8773 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6010(a,1),8757(a,1,2)),flip(a)]. 8774 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(62,a,6259,a,b,8758,a)]. 8775 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(62,a,5951,a(flip),b,8767,a)]. 8776 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(5278(a,2),8718(a,2,1)),flip(a)]. 8777 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8719(a,1),5117(a,2,2))]. 8778 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(217(a,1),8720(a,1,2,2,1))]. 8779 T(x,T(T(y,z),z)) = T(x,y). [hyper(7613,a,8722,a)]. 8780 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8722(a,2),208(a,1,1,1))]. 8781 T(x,T(y \ z,y)) = T(x,z / y). [para(110(a,1),8779(a,1,2,1))]. 8782 T(x,(y * z) / y) = T(x,T(z,y)). [para(198(a,1),8779(a,1,2,1)),flip(a)]. 8783 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(218(a,1),8779(a,1,2,1))]. 8784 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5134(a,1),8779(a,1,2,1)),flip(a)]. 8785 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8779(a,1),8026(a,1,2))]. 8786 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(764(a,2),8782(a,1,2))]. 8787 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6239(a,1),8782(a,1,2,1)),flip(a)]. 8788 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(62,a,4786,a,b,8784,a)]. 8789 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(62,a,8157,a(flip),b,8784,a),flip(a)]. 8790 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2207(a,1),8784(a,1,2))]. 8791 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(273,a,8458,a,b,8740,a),flip(a)]. 8792 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(273,a,8440,a,b,8740,a),flip(a)]. 8793 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(62,a,8440,a,b,8741,a)]. 8794 K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). [para(8745(a,1),8527(a,1,1))]. 8795 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(273,a,5163,a,b,8760,a),flip(a)]. 8796 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(273,a,8477,a(flip),b,8760,a),flip(a)]. 8797 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(8515,a,8795,a)]. 8798 T(x,K(y,1 / z)) = T(x,K(y,z)). [para(77(a,1),8795(a,1,2,2)),flip(a)]. 8799 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(8795(a,1),108(a,1,2))]. 8801 T(x,K(y,z \ 1)) != u | T(x,K(z,y)) = u. [para(8795(a,2),8515(a,1))]. 8802 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6569(a,1),8796(a,1,2)),flip(a)]. 8803 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(273,a,8464,a(flip),b,8763,a),flip(a)]. 8804 K(x,K(y,z)) * (x \ y) = T(x \ y,K(y,z)). [para(8803(a,1),8466(a,1,1))]. 8805 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5387(a,1),8791(a,1,1)),flip(a)]. 8806 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5387(a,1),8792(a,1,1)),flip(a)]. 8807 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8792(a,1),6547(a,1,3))]. 8808 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8548(a,1),8792(a,1,1))]. 8809 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(62,a,8114,a(flip),b,8807,a)]. 8810 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7460(a,1),8793(a,1,2))]. 8811 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(273,a,8706,a(flip),b,8802,a),flip(a)]. 8812 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(8802(a,1),8515(a,1))]. 8813 T(x,K(y,y / z)) = T(x,K(z,y)). [para(77(a,1),8811(a,1,2,1)),flip(a)]. 8814 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(273,a,8443,a,b,8805,a),flip(a)]. 8815 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(7501(a,1),8805(a,1,2,2,1))]. 8816 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(273,a,8740,a(flip),b,8806,a),flip(a)]. 8817 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5751(a,1),8814(a,1,2,2))]. 8820 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(5357(a,2),8707(a,1,2))]. 8822 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8450(a,1),7907(a,1,2))]. 8823 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(8224(a,2),8461(a,1,2))]. 8824 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(8595(a,1),8461(a,1,1))]. 8826 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(5354(a,1),8468(a,1,1,2))]. 8827 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(8493(a,1),8676(a,1,2))]. 8831 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8531(a,1),5459(a,1))]. 8832 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6523(a,2),8831(a,1))]. 8833 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(6657(a,1),8831(a,1))]. 8834 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7460(a,2),8831(a,1))]. 8836 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(273,a,6425,a(flip),b,8555,a),flip(a)]. 8837 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(116,a,8836,a(flip),b,5491,a(flip))]. 8838 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7460(a,1),8836(a,1,1))]. 8839 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7459(a,1),8836(a,1,1))]. 8840 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(110(a,1),8837(a,1,2))]. 8841 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(109(a,1),8837(a,1,1,2))]. 8842 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1678(a,1),8837(a,1,1,2))]. 8844 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7907(a,1),8837(a,1,1,2)),flip(a)]. 8845 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(62,a,4641,a(flip),b,8838,a),flip(a)]. 8846 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(8008(a,1),8838(a,1,1))]. 8847 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4278(a,1),8556(a,1,1,1)),flip(a)]. 8849 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8556(a,1),7845(a,1,1,1))]. 8850 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(7166,a,8557,a)]. 8851 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1214(a,1),8557(a,1,1))]. 8852 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(5134(a,1),8561(a,1,2,1,1)),flip(a)]. 8853 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(107(a,1),8567(a,1,2,1))]. 8854 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1214(a,1),8567(a,1,2))]. 8855 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(27(a,2),8853(a,1,1))]. 8856 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(110(a,1),8853(a,1,1)),flip(a)]. 8857 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5135(a,1),8576(a,1,2,2))]. 8858 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(8584(a,1),422(a,1,1,2)),flip(a)]. 8859 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(8584(a,1),8542(a,1,1))]. 8860 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(8580(a,1),8584(a,1,1,2))]. 8861 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(8613(a,1),5163(a,2,2))]. 8862 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(8613(a,2),5855(a,1))]. 8863 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(62,a,7492,a(flip),b,8621,a),flip(a)]. 8864 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(7024(a,1),8646(a,1,1))]. 8865 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(62,a,8558,a(flip),b,8648,a)]. 8866 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(62,a,8580,a(flip),b,8661,a)]. 8867 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(27(a,2),8866(a,1,1))]. 8869 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [hyper(273,a,8686,a,b,8687,a),flip(a)]. 8870 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(273,a,8440,a,b,8688,a),flip(a)]. 8871 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8701(a,1),7501(a,1,1)),flip(a)]. 8872 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(5278(a,1),8721(a,1,2)),flip(a)]. 8873 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(8872(a,1),8527(a,1,1))]. 8874 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(8727(a,1),5735(a,1,2,1,2)),flip(a)]. 8875 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(62,a,8103,a(flip),b,8738,a),flip(a)]. 8877 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(62,a,8424,a(flip),b,8764,a),flip(a)]. 8879 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(62,a,6149,a,b,8877,a)]. 8880 (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). [para(8877(a,1),108(a,1,2))]. 8882 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(62,a,8479,a(flip),b,8771,a)]. 8883 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(8206(a,1),8882(a,1,2)),flip(a)]. 8884 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(773(a,1),8776(a,1,1,1))]. 8885 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(273,a,5117,a,b,8777,a),flip(a)]. 8886 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(110(a,1),8885(a,1,2,2,1))]. 8887 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(6589(a,1),8790(a,1,2,1))]. 8888 T(x \ y,K(y,z)) = T(x,K(y,z)) \ y. [hyper(62,a,8483,a(flip),b,8804,a),flip(a)]. 8889 (R(x,K(y,z),x) \ y) / T(x \ y,K(y,z)) = K(x,x * K(y,z)). [para(8888(a,2),6058(a,1,2))]. 8890 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8809(a,2),5442(a,1,1))]. 8891 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(8815(a,1),8466(a,1,1))]. 8892 K(x,K(y,z)) * (K(u,T(y,w)) * x) != v5 | T(K(u,T(y,w)) * x,K(y,z)) = v5. [para(8815(a,1),8467(a,1,1))]. 8893 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8710(a,1),8845(a,1,1)),flip(a)]. 8894 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(62,a,7641,a,b,8857,a)]. 8895 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(273,a,8558,a(flip),b,8863,a),flip(a)]. 8896 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(62,a,7595,a(flip),b,8870,a),flip(a)]. 8897 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(8873(a,2),7167(a,2,2,1))]. 8898 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [hyper(273,a,6149,a,b,8879,a),flip(a)]. 8899 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(7460(a,2),8880(a,1,2))]. 8901 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(4215(a,1),8886(a,1,2,2))]. 8902 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(33,a,7476,a,b,8899,a)]. 8904 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(7652,a,8902,a)]. 8905 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(62,a,7645,a(flip),b,8902,a)]. 8906 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(62,a,7644,a(flip),b,8902,a)]. 8907 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(77(a,1),8902(a,1,2,2)),flip(a)]. 8908 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [para(8902(a,1),5163(a,2,2))]. 8909 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6674(a,1),8902(a,1,2))]. 8911 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(62,a,7469,a(flip),b,8904,a),flip(a)]. 8912 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(9(a,1),8904(a,1,2,2))]. 8913 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(8904(a,1),8658(a,1,1,2))]. 8914 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(62,a,7685,a,b,8906,a)]. 8915 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(159(a,1),8905(a,1,2)),flip(a)]. 8916 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(159(a,1),8905(a,2,2))]. 8917 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(160(a,1),8905(a,1,2)),flip(a)]. 8918 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [para(160(a,1),8905(a,2,2))]. 8919 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(273,a,5163,a,b,8908,a),flip(a)]. 8920 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8908(a,2),5167(a,1))]. 8922 T(x \ 1,T(y,x)) != z | T(x \ 1,y) = z. [para(8919(a,1),4350(a,1))]. 8923 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6674(a,1),8919(a,1,2))]. 8925 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(8909(a,1),7456(a,1))]. 8927 T(x,T(y,x \ y)) = T(x,y). [hyper(273,a,4085,a(flip),b,8923,a),flip(a)]. 8928 T(x,T(x * y,y)) = T(x,x * y). [para(9(a,1),8927(a,1,2,2))]. 8929 T(x \ y,T(y,x)) = T(x \ y,y). [para(4080(a,1),8927(a,1,2))]. 8930 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(8929(a,1),5879(a,1,2,1,2)),flip(a)]. 8931 T(x,T(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(3127(a,1),8920(a,1,2))]. 8932 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7457(a,2),8925(a,1))]. 8933 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4440(a,1),8932(a,1,2))]. 8934 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(7644(a,1),8932(a,1))]. 8935 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(7706(a,1),8932(a,1,2))]. 8937 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(8909(a,1),8934(a,1))]. 8938 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(8912(a,1),8934(a,1))]. 8940 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(27(a,2),8911(a,1,2))]. 8941 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8473(a,2),8425(a,1,2))]. 8943 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8764(a,1),8425(a,1))]. 8949 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(273,a,8579,a(flip),b,8659,a),flip(a)]. 8950 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(110(a,1),8949(a,1,2,2)),flip(a)]. 8951 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(4215(a,2),8832(a,1,1))]. 8952 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7501(a,1),8951(a,1))]. 8953 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(9(a,1),8952(a,1,1))]. 8954 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(160(a,1),8952(a,1,2))]. 8957 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(8666(a,2),8952(a,1))]. 8958 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(3643(a,2),8862(a,1))]. 8959 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(9(a,1),8958(a,1,2,1,2))]. 8960 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [hyper(8959,a,3643,a),flip(a)]. 8961 K(x,y / (y * z)) = K(x,(z * y) \ y). [hyper(7609,a,8960,a),flip(a)]. 8962 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7460(a,2),8200(a,2,1))]. 8963 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3220(a,1),8208(a,1,1,2)),flip(a)]. 8964 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [hyper(300,a,8221,a),flip(a)]. 8965 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(8232(a,1),4838(a,2,2))]. 8966 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(62,a,6190,a(flip),b,8277,a),flip(a)]. 8967 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [hyper(176,a,8966,a)]. 8968 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(131,a,8966,a)]. 8970 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(8966(a,1),6112(a,1,1)),flip(a)]. 8971 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(7993(a,2),8966(a,1,1))]. 8972 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(273,a,7569,a(flip),b,8301,a),flip(a)]. 8974 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5648(a,1),8321(a,1,2))]. 8975 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(8974(a,1),189(a,2,2))]. 8976 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(8974(a,1),7766(a,1,1))]. 8977 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(273,a,8276,a(flip),b,8350,a),flip(a)]. 8978 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(273,a,5719,a(flip),b,8977,a),flip(a)]. 8979 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(273,a,7562,a(flip),b,8366,a),flip(a)]. 8980 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8779(a,1),8979(a,1,1,2))]. 8981 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(8368(a,1),6252(a,1,1,1))]. 8982 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(110(a,2),8391(a,1,1))]. 8983 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(273,a,8466,a,b,8394,a)]. 8984 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(8394(a,2),8511(a,1,1))]. 8985 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(8526(a,1),8427(a,1,1))]. 8986 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(8428(a,2),5275(a,1,1))]. 8987 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6280(a,1),8429(a,1,1)),flip(a)]. 8988 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(8218(a,1),8430(a,1,1)),flip(a)]. 8989 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(8473(a,2),8498(a,1,1))]. 8990 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(8486(a,1),8501(a,2,1))]. 8991 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [hyper(273,a,8466,a(flip),b,8990,a),flip(a)]. 8992 T(x,K(y,z * x)) = T(x,K(y,z)). [para(107(a,1),8991(a,1,2,2,2))]. 8993 T(x,K(y,x * z)) = T(x,K(y,z)). [para(108(a,1),8991(a,1,2,2))]. 8994 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(273,a,8502,a,b,8992,a),flip(a)]. 8995 T(x,K(y,z / x)) = T(x,K(y,z)). [para(12(a,1),8992(a,1,2,2)),flip(a)]. 8996 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8992(a,1),8511(a,1,1))]. 8997 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(273,a,8502,a,b,8993,a),flip(a)]. 8999 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(8515,a,8994,a)]. 9000 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(8994(a,1),7472(a,1,2))]. 9001 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(273,a,8502,a,b,8995,a),flip(a)]. 9002 T(x,K(y,z / x)) != u | T(x,K(y,z)) = u. [para(9001(a,2),8515(a,1))]. 9003 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(27(a,2),9000(a,1,2))]. 9004 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(8762(a,1),8525(a,1,1))]. 9005 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2712(a,1),8529(a,1,1))]. 9006 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(27(a,1),8530(a,1,1))]. 9007 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4697,a,8540,a)]. 9008 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(627,a,9007,a)]. 9009 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7907(a,1),8551(a,1,1,1,2))]. 9010 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(62,a,8647,a(flip),b,8573,a),flip(a)]. 9011 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(9010(a,1),7476(a,1,2))]. 9012 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(62,a,8872,a,b,8575,a)]. 9013 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(62,a,8638,a(flip),b,8578,a),flip(a)]. 9014 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(9(a,1),9013(a,1,2,2)),flip(a)]. 9015 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5132(a,1),8594(a,1,1,2)),flip(a)]. 9016 K(x \ K(y,z),T(z,u)) = K(x \ 1,T(z,u)). [para(5371(a,1),8594(a,1,1,2)),flip(a)]. 9017 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(5489(a,1),8594(a,1,1,2)),flip(a)]. 9018 K(T(x,y) \ K(z,x),T(x,u)) = K(x \ 1,x). [hyper(273,a,3429,a(flip),b,9016,a),flip(a)]. 9019 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [para(9018(a,1),260(a,1,2)),flip(a)]. 9020 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(405(a,1),8626(a,1,1,2))]. 9021 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(4680(a,1),8630(a,1,2)),flip(a)]. 9022 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(12(a,1),8634(a,1,2,1,1)),flip(a)]. 9023 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(6620,a,8649,a)]. 9024 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5423,a,9023,a)]. 9026 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(629(a,1),9024(a,1,2))]. 9027 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(5135(a,1),9024(a,1,2,1))]. 9028 T(x,T(y \ T(z,y),u)) = K(x,u) * T(x * K(u,x),T(y,z) \ z). [para(4545(a,1),9027(a,2,2)),flip(a)]. 9029 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(8653(a,1),5163(a,2,2))]. 9031 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(5135(a,2),8655(a,1,2,1))]. 9032 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(62,a,6801,a,b,8656,a)]. 9033 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(8662(a,1),5108(a,2,2))]. 9034 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(62,a,4965,a,b,8665,a)]. 9035 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(34,a,7622,a,b,8667,a)]. 9036 K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). [hyper(62,a,7462,a(flip),b,8668,a),flip(a)]. 9037 K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). [para(8412(a,2),8673(a,2,2))]. 9038 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(273,a,8421,a(flip),b,8675,a),flip(a)]. 9039 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(8202(a,1),9038(a,1,2))]. 9040 T(K(x,y),T(z,T(y,u))) = T(K(x,y),z). [hyper(273,a,8424,a(flip),b,8677,a),flip(a)]. 9041 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(107(a,1),9040(a,1,2,2))]. 9042 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(4063(a,1),9040(a,1,2)),flip(a)]. 9043 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(9042(a,1),8527(a,1,1))]. 9044 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(273,a,8424,a(flip),b,8679,a),flip(a)]. 9045 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4300(a,1),8682(a,1,2,2,2))]. 9046 T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). [para(8684(a,1),5500(a,1,2)),flip(a)]. 9047 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [hyper(2230,a,8691,a)]. 9048 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(8732(a,1),5625(a,1,1,2))]. 9049 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5775(a,1),8770(a,2,2))]. 9050 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8754(a,1),8774(a,1,1))]. 9051 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8766(a,1),8774(a,1,1))]. 9052 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(62,a,9050,a(flip),b,9051,a)]. 9053 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(62,a,8987,a(flip),b,9051,a)]. 9054 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(273,a,8440,a,b,9052,a)]. 9055 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [hyper(273,a,8754,a(flip),b,9052,a),flip(a)]. 9056 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(273,a,8440,a,b,9053,a),flip(a)]. 9057 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(273,a,8440,a,b,9054,a)]. 9058 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(256(a,1),9054(a,2,2,2))]. 9059 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,6032,a(flip),b,8778,a)]. 9060 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(27(a,2),8786(a,2,2))]. 9061 K(x,y) * K(y,x * y) = y \ L(y,x,y). [hyper(62,a,5647,a(flip),b,8794,a),flip(a)]. 9062 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(273,a,3448,a,b,8839,a),flip(a)]. 9063 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6424(a,1),8840(a,1,1))]. 9064 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(8734,a,9063,a),flip(a)]. 9065 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8841(a,1),6471(a,1,1,1))]. 9066 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(273,a,8837,a(flip),b,8844,a),flip(a)]. 9067 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(8228(a,1),9066(a,1,2,1)),flip(a)]. 9068 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(62,a,7272,a,b,8852,a)]. 9069 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(273,a,5163,a,b,8861,a),flip(a)]. 9070 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(9(a,1),9069(a,1,2,1,1)),flip(a)]. 9071 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(5278(a,1),9070(a,1,2)),flip(a)]. 9072 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(62,a,7707,a(flip),b,9071,a),flip(a)]. 9073 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(62,a,5585,a(flip),b,9072,a)]. 9074 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(8937,a,8894,a)]. 9075 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(62,a,8658,a(flip),b,8913,a),flip(a)]. 9076 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(4209(a,1),9075(a,1,2)),flip(a)]. 9077 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(8923(a,1),9075(a,1,2))]. 9078 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(110(a,1),9076(a,1,2,2)),flip(a)]. 9079 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8915(a,1),5350(a,1,2))]. 9080 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8915(a,2),8456(a,2,1))]. 9081 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(8917(a,1),6885(a,1,2))]. 9082 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7583,a,8918,a)]. 9083 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(8972(a,1),4949(a,1,2,1,2))]. 9084 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(212,a,9006,a(flip),b,4093,a(flip))]. 9086 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(273,a,5924,a(flip),b,9015,a),flip(a)]. 9087 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6411(a,1),9015(a,1,1,2)),flip(a)]. 9088 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5238,a,9034,a)]. 9089 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5849(a,1),9088(a,1,2,1)),flip(a)]. 9090 K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). [para(16(a,1),9037(a,2,2,1))]. 9091 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(273,a,9044,a(flip),b,9039,a),flip(a)]. 9093 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(8224(a,1),9091(a,1,2))]. 9094 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(7474(a,1),9043(a,1,1))]. 9095 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(273,a,8230,a(flip),b,9094,a),flip(a)]. 9096 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7460(a,2),9095(a,1,1))]. 9097 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(7481(a,1),9095(a,1,1))]. 9098 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5143,a,9097,a)]. 9099 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4294(a,1),9060(a,1,2,1)),flip(a)]. 9100 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(62,a,7449,a,b,9067,a)]. 9101 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(904(a,2),8257(a,2,2))]. 9102 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5420(a,1),8257(a,2,2))]. 9103 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [hyper(122,a,8267,a)]. 9104 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(108(a,1),8267(a,1,1,2))]. 9105 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(122,a,9104,a)]. 9106 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(9104(a,1),42(a,1)),flip(a)]. 9107 T(x,y * (z * x)) = T(x,y * (x * z)). [para(9104(a,1),7907(a,1,2)),flip(a)]. 9108 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(9104(a,1),7937(a,1,1,1)),flip(a)]. 9109 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(9104(a,1),8618(a,1,1,2)),flip(a)]. 9110 (x * (y * z)) * K(z,L(y,z,x)) != u | x * (z * y) = u. [para(9105(a,1),225(a,1,2))]. 9111 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(273,a,6021,a(flip),b,9108,a),flip(a)]. 9112 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(444(a,1),9109(a,2,1))]. 9114 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(8365(a,1),636(a,1))]. 9116 R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). [para(3176(a,1),8599(a,1,1))]. 9122 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(115,a,9079,a(flip),b,5500,a),flip(a)]. 9123 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(9079(a,1),4576(a,1,1)),flip(a)]. 9124 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(115,a,9081,a(flip),b,5500,a),flip(a)]. 9126 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(9081(a,1),18(a,2,2,2)),flip(a)]. 9127 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(9081(a,1),5499(a,1,2))]. 9128 (x * (y * T(T(z,y),u))) \ (x * (z * y)) = K(u,L(T(z,y),y,x)). [para(108(a,1),9103(a,1,2,2))]. 9129 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6264(a,1),8270(a,1,1,2))]. 9130 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(176,a,9129,a)]. 9131 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(133,a,9129,a),flip(a)]. 9132 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [hyper(62,a,267,a,b,9129,a)]. 9133 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(9129(a,1),331(a,1,2)),flip(b)]. 9134 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(94(a,1),9129(a,1,1))]. 9135 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(437(a,1),9129(a,1,1))]. 9136 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(116,a,9131,a(flip),b,8529,a),flip(a)]. 9137 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(9131(a,1),42(a,1)),flip(a)]. 9138 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(9131(a,1),288(a,1,2))]. 9139 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7505(a,1),9131(a,1,1,2))]. 9141 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(8282(a,2),9134(a,1,1,2))]. 9143 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(9139(a,1),288(a,1,2))]. 9144 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(273,a,8226,a(flip),b,8281,a),flip(a)]. 9145 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(62,a,6848,a(flip),b,9144,a)]. 9147 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(273,a,6843,a(flip),b,9145,a),flip(a)]. 9148 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5387(a,1),9147(a,1,2)),flip(a)]. 9149 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5204(a,1),9147(a,1,2))]. 9150 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(6362(a,1),9147(a,1,2)),flip(a)]. 9151 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(8590(a,1),9147(a,1,2)),flip(a)]. 9152 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(62,a,6847,a(flip),b,9148,a)]. 9153 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9149(a,1),6256(a,1,1))]. 9154 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(62,a,8035,a(flip),b,9151,a),flip(a)]. 9156 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(9(a,1),9152(a,1,1,2)),flip(a)]. 9157 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(273,a,8300,a(flip),b,8325,a),flip(a)]. 9158 T((x \ y) * x,((z \ y) * z) \ u) = (x \ T(y,y \ u)) * x. [para(9157(a,1),4920(a,2,1,2))]. 9159 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(6788(a,1),9157(a,1,2))]. 9160 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(9159(a,1),236(a,1,2))]. 9161 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(62,a,268,a(flip),b,9160,a)]. 9162 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(809(a,1),8348(a,1,1,2))]. 9163 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1196(a,1),8348(a,1,1,2))]. 9164 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7742(a,1),8348(a,1,1,2)),flip(a)]. 9165 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(273,a,8275,a(flip),b,9164,a),flip(a)]. 9166 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(9165(a,1),5163(a,2,2))]. 9167 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7476(a,1),9165(a,1,2,1))]. 9169 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(8218(a,1),9165(a,1,2,1)),flip(a)]. 9170 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(8222(a,1),9165(a,1,2,1))]. 9171 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(14(a,2),9167(a,1,2)),flip(a)]. 9172 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6362(a,1),9167(a,1,2,1)),flip(a)]. 9174 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(8542(a,1),9169(a,1,2,1,2))]. 9175 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(273,a,5163,a,b,9166,a),flip(a)]. 9176 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7486(a,1),9175(a,1,2,1)),flip(a)]. 9177 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(9104(a,1),9175(a,1,2,1)),flip(a)]. 9178 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(62,a,7651,a(flip),b,9176,a),flip(a)]. 9181 T(x,y \ K(x,z)) = T(x,y \ 1). [para(4411(a,1),9178(a,1,2,2)),flip(a)]. 9182 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(5087(a,1),9178(a,1,2,2))]. 9183 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(5132(a,1),9178(a,1,2,2))]. 9184 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(5142(a,1),9178(a,1,2,2)),flip(a)]. 9185 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5751(a,1),9178(a,1,2,2))]. 9186 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(9181(a,1),5906(a,1,2,1))]. 9187 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [hyper(273,a,5163,a(flip),b,9182,a),flip(a)]. 9188 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(9182(a,1),5119(a,1,1,1)),flip(a)]. 9189 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(9182(a,1),7674(a,1,2)),flip(a)]. 9190 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(9182(a,2),8328(a,1))]. 9191 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9183(a,1),5164(a,1,2,1))]. 9192 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9183(a,1),9031(a,1,2))]. 9193 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(110(a,1),9184(a,1,2,2,1)),flip(a)]. 9194 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [hyper(5238,a,9187,a)]. 9195 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(9(a,1),9194(a,1,2,2,1))]. 9197 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(9170(a,1),5595(a,1,2,2))]. 9198 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9170(a,1),7131(a,1,1))]. 9199 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(9185(a,1),5119(a,1,1,1))]. 9200 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(8356(a,1),8354(a,1,1)),flip(a)]. 9201 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(5626(a,2),8360(a,1,2,1,2))]. 9202 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(33,a,8352,a,b,8361,a)]. 9204 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(273,a,25,a,b,8364,a),flip(a)]. 9205 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5999(a,1),8422(a,1,1)),flip(a)]. 9206 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5999(a,1),8462(a,1,2)),flip(a)]. 9207 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(62,a,9205,a,b,9206,a)]. 9208 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8440(a,1),9207(a,1,1))]. 9209 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6172(a,1),9208(a,2,2))]. 9210 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(12(a,1),8471(a,1,2,1))]. 9211 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [para(6274(a,1),8490(a,1,2))]. 9212 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(5873,a,9211,a)]. 9213 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(273,a,8567,a(flip),b,8587,a),flip(a)]. 9216 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(108(a,1),9213(a,1,2))]. 9217 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(196(a,1),9213(a,1,2))]. 9218 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(197(a,1),9213(a,1,2)),flip(a)]. 9219 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6424(a,1),9213(a,1,2))]. 9220 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(6562,a,9216,a),flip(a)]. 9221 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(62,a,7116,a(flip),b,9216,a),flip(a)]. 9223 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(9216(a,1),94(a,1,2))]. 9224 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(273,a,7118,a(flip),b,9219,a),flip(a)]. 9226 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(9224(a,2),8987(a,2,1)),flip(a)]. 9227 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(62,a,8594,a(flip),b,8607,a)]. 9228 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8834,a,9227,a),flip(a)]. 9230 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9228(a,1),8226(a,1,1,2)),flip(a)]. 9231 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(273,a,8226,a(flip),b,9230,a),flip(a)]. 9232 K(x,(y * x) / z) = K(x,(x * y) / z). [para(5132(a,1),9231(a,1,2,1)),flip(a)]. 9233 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(5536(a,1),9231(a,1,2,1))]. 9234 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8836(a,1),9231(a,1,2,1))]. 9235 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(273,a,6198,a(flip),b,9232,a),flip(a)]. 9236 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(9232(a,1),5163(a,2,2)),flip(a)]. 9238 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(62,a,8549,a,b,9235,a)]. 9239 T(x,(y * x) / z) = T(x,(x * y) / z). [hyper(5167,a,9236,a),flip(a)]. 9241 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(8547,a,9238,a)]. 9242 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(74(a,1),9241(a,1,2,1,1)),flip(a)]. 9244 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(62,a,8593,a(flip),b,8629,a)]. 9245 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8952,a,9244,a),flip(a)]. 9247 K(x / (y * z),z) = K(x / (z * y),z). [para(86(a,1),9245(a,1,1,2)),flip(a)]. 9248 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7476(a,1),9245(a,1,1,2))]. 9249 K(x / (K(y,z) * u),z) = K(x / u,z). [para(7486(a,1),9245(a,1,1,2)),flip(a)]. 9250 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(9248(a,1),6860(a,1,1))]. 9251 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(9249(a,1),5201(a,2,2,2))]. 9252 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(273,a,5201,a,b,9251,a),flip(a)]. 9253 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(20(a,2),9252(a,1,2)),flip(a)]. 9254 T(x,y / (z * x)) = T(x,y / (x * z)). [para(5132(a,1),9252(a,1,2,2))]. 9255 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(11(a,1),9253(a,1,2)),flip(a)]. 9256 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(273,a,8248,a(flip),b,9255,a),flip(a)]. 9259 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(115,a,9256,a(flip),b,5163,a(flip)),flip(a)]. 9260 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(273,a,5111,a,b,9259,a),flip(a)]. 9261 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(31(a,1),9260(a,1,2))]. 9262 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(9260(a,1),6192(a,1,1))]. 9263 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(62,a,9174,a(flip),b,8642,a)]. 9265 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(62,a,8569,a(flip),b,9263,a),flip(a)]. 9266 K(x,y / (z * x)) = K(x,y / (x * z)). [para(86(a,1),9265(a,1,2,2))]. 9267 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1238(a,1),9265(a,1,2,2))]. 9268 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5182(a,1),9265(a,1,2,2)),flip(a)]. 9269 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(7509(a,1),9265(a,1,2,2)),flip(a)]. 9270 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(273,a,6913,a(flip),b,9266,a),flip(a)]. 9271 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(62,a,8148,a(flip),b,9266,a)]. 9272 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(105(a,2),9266(a,2,2)),flip(a)]. 9273 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(20(a,2),9269(a,1,2)),flip(a)]. 9274 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(12(a,1),9270(a,1,2,2,1)),flip(a)]. 9275 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(62,a,5360,a(flip),b,9272,a)]. 9276 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(11(a,1),9273(a,1,2)),flip(a)]. 9277 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(273,a,7898,a(flip),b,9276,a),flip(a)]. 9280 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(31(a,1),9277(a,1,2))]. 9281 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5135(a,1),8652(a,1,1,1,2))]. 9282 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(62,a,8660,a(flip),b,8663,a),flip(a)]. 9283 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8417,a,8674,a),flip(a)]. 9284 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(9(a,1),9283(a,1,2,2)),flip(a)]. 9285 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8542(a,1),8723(a,1,1)),flip(a)]. 9286 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9285(a,1),7232(a,1,2,2)),flip(a)]. 9288 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(62,a,8837,a(flip),b,8842,a),flip(a)]. 9289 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(115,a,9288,a(flip),b,5163,a(flip)),flip(a)]. 9290 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [hyper(273,a,5111,a,b,9289,a),flip(a)]. 9291 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [hyper(62,a,6728,a,b,9290,a)]. 9294 K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. [para(8847(a,2),5371(a,1,1))]. 9295 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(8542(a,1),8850(a,1,1)),flip(a)]. 9296 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [hyper(62,a,8299,a,b,9295,a)]. 9297 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(170(a,1),9295(a,1,1,2)),flip(a)]. 9299 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(62,a,7132,a(flip),b,9297,a),flip(a)]. 9300 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5110(a,2),9297(a,1,2)),flip(a)]. 9301 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8542(a,1),9297(a,1,1))]. 9304 L(K(x,y),K(x,z) * u,w) = L(K(x,y),u,w). [para(7509(a,1),9296(a,1,2)),flip(a)]. 9305 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(273,a,8579,a(flip),b,8859,a),flip(a)]. 9306 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(27(a,2),8867(a,2,1))]. 9307 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(273,a,8849,a(flip),b,8871,a),flip(a)]. 9308 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(62,a,8493,a(flip),b,8896,a),flip(a)]. 9309 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(62,a,7773,a(flip),b,8950,a),flip(a)]. 9311 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(9(a,1),9309(a,1,2,2)),flip(a)]. 9312 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(167(a,1),9309(a,1,2,2)),flip(a)]. 9313 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(273,a,8676,a,b,9311,a),flip(a)]. 9314 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(62,a,7708,a,b,9312,a)]. 9315 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [hyper(62,a,7445,a(flip),b,9312,a),flip(a)]. 9316 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(110(a,1),9314(a,1,2)),flip(a)]. 9318 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [para(10(a,1),9315(a,1,2,2)),flip(a)]. 9320 K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). [para(12(a,1),9318(a,1,2,1)),flip(a)]. 9321 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8739,a,9313,a)]. 9322 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(10(a,1),9321(a,1,2,2)),flip(a)]. 9323 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(104(a,1),9321(a,1,2,2))]. 9324 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(62,a,8763,a,b,9322,a)]. 9325 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(77(a,1),9324(a,1,2,2)),flip(a)]. 9326 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(62,a,8762,a(flip),b,9325,a),flip(a)]. 9327 K(x,K(y,x / z)) = K(x,K(y,z)). [para(341(a,1),9325(a,1,2,2,1))]. 9328 K(x,K(y,x / z)) = K(x,K(z,y)). [hyper(273,a,8458,a,b,9327,a),flip(a)]. 9329 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(62,a,8762,a(flip),b,9327,a),flip(a)]. 9330 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(62,a,8458,a,b,9328,a)]. 9331 K(x / y,K(x,z)) = K(x,K(y,z)). [hyper(62,a,8443,a(flip),b,9328,a)]. 9332 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(273,a,9057,a,b,9330,a),flip(a)]. 9333 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(62,a,8440,a,b,9323,a)]. 9334 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9323(a,1),8476(a,1,1))]. 9335 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(273,a,8440,a,b,9333,a),flip(a)]. 9336 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(273,a,8495,a(flip),b,9333,a),flip(a)]. 9337 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(256(a,1),9332(a,1,2,2)),flip(a)]. 9338 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(273,a,5290,a(flip),b,9019,a),flip(a)]. 9339 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4947,a,9338,a)]. 9340 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * (L(y \ 1,y,x) \ x)) / z). [para(354(a,1),9026(a,1,1,1)),flip(a)]. 9342 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4294(a,1),9029(a,1,2,1))]. 9343 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4795(a,1),9032(a,1,2)),flip(a)]. 9344 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(273,a,5108,a,b,9033,a),flip(a)]. 9345 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5567(a,1),9344(a,2,1,2,1))]. 9346 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7453(a,1),9344(a,2,1,2))]. 9347 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(34,a,8494,a,b,9046,a)]. 9348 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(8812,a,9347,a)]. 9349 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(273,a,8502,a,b,9348,a),flip(a)]. 9350 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(115,a,9348,a(flip),b,7604,a)]. 9351 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(6652,a,9349,a)]. 9352 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(9349(a,1),8511(a,1,1))]. 9353 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(9351(a,1),5951(a,2,1,1))]. 9354 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(273,a,8597,a(flip),b,9352,a),flip(a)]. 9355 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(5496,a,9354,a)]. 9358 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(5871(a,2),9355(a,2,2)),flip(a)]. 9359 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(8411(a,1),9355(a,1,1))]. 9360 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(8443(a,2),9355(a,1,1))]. 9361 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [hyper(8484,a,9359,a)]. 9362 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(8436(a,1),9359(a,1,1))]. 9363 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(9360(a,1),5237(a,1,1,1))]. 9364 K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(2600(a,2),9361(a,2,2))]. 9365 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(8588(a,1),9150(a,1,2,2))]. 9366 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(33,a,8352,a,b,9201,a)]. 9368 L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. [para(9201(a,1),7871(a,2,1))]. 9369 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5134(a,1),9204(a,2,1))]. 9370 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(273,a,8751,a(flip),b,9209,a),flip(a)]. 9371 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9209(a,2),8487(a,1,1))]. 9372 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8751(a,1),9370(a,1,1))]. 9373 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8752(a,1),9370(a,1,1))]. 9374 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(62,a,9208,a(flip),b,9372,a)]. 9375 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(62,a,9372,a(flip),b,9373,a),flip(a)]. 9376 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(62,a,9207,a(flip),b,9373,a)]. 9377 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(62,a,9205,a(flip),b,9373,a)]. 9378 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(273,a,3158,a(flip),b,9375,a),flip(a)]. 9379 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6869(a,1),9376(a,1,2)),flip(a)]. 9380 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [hyper(273,a,8429,a,b,9226,a),flip(a)]. 9381 K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). [hyper(273,a,9050,a(flip),b,9226,a),flip(a)]. 9382 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(129,a,9281,a)]. 9383 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(9281(a,1),5741(a,1,1))]. 9384 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(273,a,8557,a(flip),b,9301,a),flip(a)]. 9386 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(10(a,1),9384(a,1,2)),flip(a)]. 9387 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(273,a,324,a(flip),b,9386,a),flip(a)]. 9388 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9386(a,2),325(a,1))]. 9390 L(K(x,y),K(z,x),u) = K(x,y). [hyper(62,a,9300,a(flip),b,9387,a)]. 9392 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9390(a,1),94(a,1,2))]. 9393 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9390(a,1),448(a,1,2,1))]. 9394 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(9390(a,1),449(a,1,2,1))]. 9395 K(x \ (x * y),z) != u | K(y,z) = u. [para(322(a,1),9388(a,1,1))]. 9396 K((x / y) \ x,z) != u | K(y,z) = u. [para(12(a,1),9395(a,1,1,2))]. 9397 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7518(a,2),9395(a,1))]. 9398 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7827(a,1),9395(a,1))]. 9401 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8558(a,1),9395(a,1))]. 9402 K(x,K(y,1 / z)) != u | K(z,K(x,y)) = u. [para(8758(a,1),9396(a,1))]. 9404 K(L(x,K(y,z),u),y) != w | K(x,y) = w. [para(7823(a,2),9398(a,1))]. 9405 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(8570(a,1),9397(a,1))]. 9406 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(110(a,1),9405(a,1,2,1))]. 9407 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7501(a,2),9405(a,1))]. 9408 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(7528(a,1),9405(a,1))]. 9409 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(7520(a,1),9405(a,1))]. 9410 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(7515(a,2),9405(a,1))]. 9411 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(7516(a,2),9405(a,1))]. 9413 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(23(a,1),9407(a,1,2))]. 9415 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(27(a,2),9407(a,1,2))]. 9416 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(110(a,1),9407(a,1,2))]. 9421 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5135(a,1),9401(a,1,1))]. 9422 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8759(a,1),9402(a,1))]. 9423 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8411(a,1),9422(a,1))]. 9424 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8412(a,2),9422(a,1))]. 9425 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8440(a,1),9422(a,1))]. 9426 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(8441(a,2),9422(a,1))]. 9428 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8443(a,2),9422(a,1))]. 9429 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8458(a,1),9422(a,1))]. 9430 K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. [para(8522(a,2),9422(a,1))]. 9431 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7501(a,1),9423(a,1,2))]. 9433 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8413(a,2),9423(a,1))]. 9434 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8750(a,2),9423(a,1))]. 9435 K(x,K(y \ 1,z)) != u | K(x,K(z,y)) = u. [para(8753(a,2),9423(a,1))]. 9437 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8767(a,2),9423(a,1))]. 9438 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8756(a,1),9423(a,1))]. 9439 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8762(a,2),9423(a,1))]. 9442 K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. [para(8381(a,2),9425(a,1))]. 9445 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8768(a,2),9428(a,1))]. 9448 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(9054(a,1),9429(a,1))]. 9449 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(9054(a,2),9429(a,1))]. 9450 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(9056(a,2),9429(a,1))]. 9451 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(14(a,2),9406(a,1,2,1))]. 9452 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(4918(a,1),9406(a,1,2))]. 9457 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5633(a,2),9421(a,1))]. 9459 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(8859(a,2),9421(a,1))]. 9462 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5854(a,1),9434(a,1,2))]. 9466 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7462(a,1),9409(a,1))]. 9469 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8742(a,2),9431(a,1))]. 9471 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(8238,a,9392,a)]. 9472 R(x,K(y,z),K(z,u)) = x. [hyper(478,a,9392,a)]. 9475 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2226(a,2),9392(a,2,2))]. 9476 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(273,a,8224,a(flip),b,9472,a),flip(a)]. 9478 R(x,T(K(y,z),u),K(z,w)) = x. [para(1569(a,1),9472(a,1,2))]. 9479 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(9472(a,1),2448(a,1,1,1))]. 9482 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(6161(a,1),9472(a,1,3))]. 9483 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6176(a,1),9472(a,1,3))]. 9484 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6260(a,1),9472(a,1,2))]. 9485 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6025(a,1),9478(a,1,3))]. 9486 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(9482(a,1),50(a,2))]. 9487 R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. [para(9483(a,1),50(a,2))]. 9489 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9484(a,1),505(a,1,1))]. 9490 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9485(a,1),834(a,1,1)),flip(a)]. 9492 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5696(a,1),9476(a,1,1))]. 9493 L(K(x,y),K(z,y),u) = K(x,y). [hyper(9137,a,9471,a)]. 9494 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(3471,a,9471,a),flip(a)]. 9495 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2226(a,2),9471(a,1,1,2))]. 9496 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(9493(a,1),94(a,1,2))]. 9497 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(212,a,9475,a,b,576,a)]. 9498 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(8218(a,1),9475(a,1,1)),flip(a)]. 9499 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(8230(a,1),9475(a,1,1)),flip(a)]. 9500 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3482(a,1),9494(a,1,2))]. 9501 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(115,a,9500,a(flip),b,937,a),flip(a)]. 9502 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(34,a,9471,a,b,9495,a(flip))]. 9505 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(9495(a,1),8256(a,1,1)),flip(b)]. 9506 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(8218(a,1),9496(a,1,1)),flip(a)]. 9507 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(122,a,9498,a)]. 9508 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(387,a,9502,a)]. 9510 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9502(a,1),280(a,1,1))]. 9511 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(7494(a,1),9506(a,1,2))]. 9512 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7476(a,1),9507(a,1,1))]. 9513 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(115,a,5371,a(flip),b,9511,a)]. 9514 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(62,a,9496,a,b,9511,a)]. 9515 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(9513(a,1),7992(a,2,1))]. 9516 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(8238,a,9514,a),flip(a)]. 9517 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(34,a,9495,a,b,9514,a),flip(a)]. 9518 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(9514(a,1),8245(a,1,1)),flip(a)]. 9519 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(116,a,9516,a(flip),b,8271,a)]. 9520 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7501(a,1),9516(a,1,2)),flip(a)]. 9521 R(x,K(y,z),K(u,y)) = x. [hyper(478,a,9517,a)]. 9522 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3093(a,1),9517(a,1,1))]. 9526 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(9301(a,2),9410(a,1))]. 9527 K(L(R(x,y,z),x \ u,x),T(w,u)) != v5 | K(R(u / (u / x),y,z),w) = v5. [para(4393(a,1),9411(a,1,1))]. 9528 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(9050(a,2),9448(a,1))]. 9529 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(9051(a,2),9448(a,1))]. 9530 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(107(a,1),9526(a,1,2,1))]. 9531 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(7121(a,1),9530(a,1))]. 9532 K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). [hyper(273,a,6017,a(flip),b,9320,a),flip(a)]. 9533 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8685,a,9334,a),flip(a)]. 9534 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(10(a,1),9533(a,1,2,2,1)),flip(a)]. 9535 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7657,a,9534,a),flip(a)]. 9536 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(12(a,1),9535(a,1,2,2)),flip(a)]. 9537 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9382(a,1),5419(a,1,2))]. 9539 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(62,a,6671,a(flip),b,9383,a)]. 9540 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(7501(a,1),9512(a,2,2))]. 9541 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(62,a,6460,a(flip),b,9519,a)]. 9542 K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). [para(12(a,1),9532(a,1,2,1)),flip(a)]. 9543 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(273,a,6017,a(flip),b,9542,a),flip(a)]. 9544 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5845(a,1),9537(a,1,2,1,2,2)),flip(a)]. 9545 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(9228(a,1),9537(a,1,2,1,2,2)),flip(a)]. 9546 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7476(a,1),9540(a,1,2))]. 9547 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(8234(a,1),9541(a,1,1)),flip(a)]. 9548 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(4802(a,1),8552(a,1,1,1,2)),flip(a)]. 9549 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7465(a,1),8605(a,1,1))]. 9551 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. [para(8851(a,1),9413(a,1))]. 9552 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(62,a,7822,a(flip),b,9068,a)]. 9553 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(273,a,8568,a(flip),b,9552,a),flip(a)]. 9554 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(9552(a,2),9415(a,1))]. 9556 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(7867(a,1),9553(a,1,1))]. 9559 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(211(a,1),9122(a,1,1,1))]. 9560 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9141(a,1),5533(a,1,1,2))]. 9561 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9153(a,1),43(a,1)),flip(a)]. 9562 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(585(a,1),9171(a,1,2))]. 9563 K(x,a(K(x,y),z,u)) = 1. [hyper(62,a,6034,a(flip),b,9562,a),flip(a)]. 9565 T(x,a(K(x,y),z,u)) = x. [hyper(55,a,9563,a)]. 9566 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(53,a,9565,a)]. 9567 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9565(a,1),23(a,1,1)),flip(a)]. 9568 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9565(a,1),108(a,1,2))]. 9569 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9565(a,1),7505(a,1,2,1)),flip(a)]. 9570 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9567(a,1),5265(a,1,2))]. 9571 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9566(a,1),7505(a,1,2,1)),flip(a)]. 9572 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(444(a,1),9299(a,2,2))]. 9573 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(5135(a,2),9457(a,1,2,1))]. 9575 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(9516(a,2),9505(a,1))]. 9577 K(x,y) * z != (K(x,y) * u) * (K(y,x) * w) | (u * K(y,x)) * w = z. [para(8264(a,2),42(a,1)),flip(a)]. 9579 K(R(x,y,z),x * (u \ 1)) != w | K(R(x,y,z),u \ x) = w. [para(6067(a,1),8332(a,1))]. 9580 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) != v6 | K(R(L(x,u,w),y,z),v5 \ L(x,u,w)) = v6. [para(29(a,1),9579(a,1,1))]. 9581 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(77(a,1),8349(a,1,1,1,2,1))]. 9582 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(8310,a,8379,a),flip(a)]. 9583 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5491(a,2),9582(a,1,2))]. 9584 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5405(a,1),8386(a,1,1,2))]. 9585 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5754(a,1),9584(a,2,2))]. 9587 R(x,K(y \ 1,z),y) = x. [hyper(4978,a,9585,a)]. 9588 R(x,y,K(y \ 1,z)) = x. [hyper(6932,a,9587,a)]. 9590 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(9588(a,1),104(a,1,1)),flip(a)]. 9591 R(x,y \ z,K(y / z,u)) = x. [para(8624(a,1),9588(a,1,3))]. 9592 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(9591(a,1),466(a,1,1))]. 9593 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(450,a,9590,a)]. 9594 a(x,y,K(y \ 1,z)) = 1. [hyper(52,a,9593,a)]. 9595 a(x,y \ 1,K(y,z)) = 1. [para(3109(a,1),9594(a,1,3))]. 9596 L(K(x,y),x \ 1,z) = K(x,y). [hyper(51,a,9595,a)]. 9597 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(62,a,6159,a(flip),b,9596,a)]. 9598 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(9597(a,1),5163(a,2,2))]. 9599 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(273,a,5163,a,b,9598,a),flip(a)]. 9600 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(62,a,8177,a(flip),b,9592,a),flip(a)]. 9601 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(610(a,1),8390(a,1,1,2,1)),flip(a)]. 9602 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(273,a,6569,a(flip),b,8401,a),flip(a)]. 9603 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(273,a,7585,a,b,9602,a),flip(a)]. 9604 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(9(a,1),9603(a,2,2))]. 9605 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8443(a,2),8474(a,2,2,1))]. 9606 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(8443(a,1),8475(a,1,1,1))]. 9607 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [hyper(62,a,7459,a(flip),b,8608,a)]. 9608 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(8558(a,1),8627(a,1,1)),flip(a)]. 9609 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [hyper(525,a,9608,a),flip(a)]. 9611 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(62,a,6156,a(flip),b,9609,a)]. 9612 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(5304(a,1),9611(a,1,2))]. 9613 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5841(a,1),9612(a,2,2))]. 9614 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(62,a,7445,a(flip),b,8628,a)]. 9615 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(62,a,7435,a(flip),b,8641,a)]. 9616 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6435(a,2),9615(a,1,2,1))]. 9619 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5405(a,1),8664(a,1,2,2))]. 9620 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [hyper(171,a,9619,a)]. 9622 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(5135(a,2),9620(a,1,1,1))]. 9623 K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. [para(5319(a,1),9620(a,1,1)),flip(a)]. 9624 K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. [para(5332(a,1),9620(a,1,1)),flip(a)]. 9625 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(7511(a,1),9624(a,1,1))]. 9626 L(x,y,x) \ x = x \ R(x,y,x). [hyper(62,a,5811,a(flip),b,9625,a),flip(a)]. 9627 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(273,a,2226,a,b,9622,a),flip(a)]. 9628 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1212(a,1),9627(a,1,1)),flip(a)]. 9629 K(x,y) * K(y,x * y) = R(y,x,y) \ y. [para(6379(a,1),9623(a,1,1))]. 9630 R(x,y,x) \ x = x \ L(x,y,x). [hyper(62,a,9061,a(flip),b,9629,a),flip(a)]. 9631 x / R(x,y,x) = x \ L(x,y,x). [hyper(62,a,6867,a,b,9630,a)]. 9632 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(115,a,9630,a(flip),b,1066,a)]. 9633 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9631(a,1),2667(a,1,1,2,1))]. 9634 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9632(a,1),5054(a,2,2))]. 9635 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(62,a,8698,a(flip),b,8699,a)]. 9636 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6366,a,9635,a),flip(a)]. 9637 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(273,a,8996,a(flip),b,9636,a),flip(a)]. 9638 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(9637(a,1),4248(a,1,1)),flip(a)]. 9639 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(8713(a,1),8704(a,1,1))]. 9640 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8734,a,8735,a),flip(a)]. 9641 T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). [para(5918(a,1),8744(a,1,2))]. 9642 T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). [para(9641(a,1),4930(a,2,1))]. 9644 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(62,a,8289,a(flip),b,8963,a),flip(a)]. 9645 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7460(a,2),8985(a,2,1))]. 9646 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8941,a,9045,a),flip(a)]. 9647 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(273,a,8747,a(flip),b,9049,a),flip(a)]. 9648 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(77(a,1),9647(a,1,2,2,1,2))]. 9649 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(62,a,5714,a(flip),b,9648,a)]. 9650 K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). [para(6120(a,2),9090(a,2,2))]. 9651 T((x \ y) * x,((z \ y) * z) \ u) = T((x \ y) * x,y \ u). [hyper(273,a,4920,a,b,9158,a),flip(a)]. 9652 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(9186(a,1),5776(a,1,2,1))]. 9653 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(8224(a,1),9268(a,1,2)),flip(a)]. 9655 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(9338(a,1),9339(a,1,1))]. 9656 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8750(a,1),9371(a,1,1,1)),flip(a)]. 9657 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9208(a,1),9656(a,2,1))]. 9658 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(273,a,5173,a,b,9657,a),flip(a)]. 9659 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(62,a,8797,a(flip),b,9658,a),flip(a)]. 9660 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(6259(a,1),9380(a,2,1,1))]. 9661 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7501(a,1),9520(a,1,1,2))]. 9662 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(62,a,9365,a(flip),b,9556,a)]. 9663 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(9554,a,9662,a),flip(a)]. 9665 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(62,a,7872,a,b,9663,a)]. 9666 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(8218(a,1),9663(a,1,2,1)),flip(a)]. 9667 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(8414(a,1),9666(a,1,2,1)),flip(a)]. 9669 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(287,a,9605,a),flip(a)]. 9670 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(273,a,2010,a(flip),b,9634,a),flip(a)]. 9671 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5509(a,1),9670(a,1,2))]. 9672 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(9505,a,9639,a),flip(a)]. 9675 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(62,a,9583,a(flip),b,9645,a),flip(a)]. 9676 x / T((y \ z) * y,z \ x) = ((y \ z) * y) \ x. [para(9651(a,1),236(a,1,2))]. 9677 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(62,a,5933,a(flip),b,9653,a),flip(a)]. 9678 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8443(a,2),9669(a,1,2,1))]. 9680 K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(8283(a,1),7887(a,1,2)),flip(a)]. 9681 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1142(a,1),8406(a,1,1,2))]. 9682 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8574(a,1),9378(a,1,2))]. 9683 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7460(a,2),8616(a,1,1))]. 9684 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(273,a,8570,a(flip),b,8650,a),flip(a)]. 9685 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(115,a,8693,a(flip),b,6227,a(flip))]. 9686 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(9084(a,1),4330(a,1,2))]. 9687 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,L(T(y,u),u,x)). [para(209(a,1),9128(a,1,1,2))]. 9688 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(L(y,u,x),u)). [para(25(a,1),9687(a,2,2))]. 9689 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(5626(a,2),9202(a,2,1,2))]. 9690 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(62,a,6860,a(flip),b,9250,a),flip(a)]. 9691 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5489(a,1),9690(a,1,1,2,1)),flip(a)]. 9692 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9690(a,1),9537(a,1,2,1,2,2)),flip(a)]. 9693 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(9366(a,1),443(a,1,2,2))]. 9694 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(23(a,1),9549(a,1,1,2))]. 9695 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(9082(a,1),9628(a,1,2))]. 9696 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9683(a,1),6180(a,1,1)),flip(a)]. 9697 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9685(a,1),6181(a,1,1))]. 9698 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [hyper(273,a,6323,a(flip),b,9694,a),flip(a)]. 9699 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7475(a,1),9698(a,1,1))]. 9700 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9535(a,1),9699(a,1,1,1))]. 9701 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(8224(a,1),8259(a,2,2))]. 9702 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [hyper(8240,a,8279,a),flip(a)]. 9703 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(9702(a,1),8756(a,1,2)),flip(a)]. 9704 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8489(a,1),8469(a,1,1))]. 9705 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9704(a,1),106(a,1,1,1)),flip(a)]. 9706 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9704(a,1),5425(a,1,2))]. 9707 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). [hyper(9413,a,8585,a(flip)),flip(a)]. 9708 K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). [hyper(129,a,9707,a)]. 9709 K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). [para(23(a,1),9708(a,1,2))]. 9710 T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). [hyper(62,a,5492,a(flip),b,9709,a),flip(a)]. 9711 T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). [hyper(135,a,9710,a),flip(a)]. 9713 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [para(7918(a,1),9711(a,1,1)),flip(a)]. 9714 L(x,y,T(x,z)) = L(x,y,x). [hyper(273,a,5642,a(flip),b,9713,a),flip(a)]. 9718 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(9714(a,1),25(a,2,1))]. 9721 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(273,a,25,a,b,9718,a),flip(a)]. 9724 L(T(x,y),T(z,x),x) != u | L(T(x,y),z,x) = u. [para(9721(a,1),4651(a,1))]. 9725 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(8570(a,1),8651(a,1,2,2)),flip(a)]. 9726 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(62,a,8783,a(flip),b,8787,a)]. 9727 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(273,a,4437,a(flip),b,9726,a),flip(a)]. 9729 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(273,a,4784,a(flip),b,9727,a),flip(a)]. 9730 (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8891(a,2),5199(a,2,1))]. 9731 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(116,a,8976,a(flip),b,8981,a(flip))]. 9732 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(8982(a,1),6132(a,1,1)),flip(a)]. 9733 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(273,a,5670,a,b,9732,a),flip(a)]. 9734 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(62,a,5670,a,b,9733,a)]. 9735 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(9734(a,1),5208(a,2,2))]. 9737 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(77(a,1),9012(a,1,1,2)),flip(a)]. 9738 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(7504(a,1),9737(a,2,1))]. 9739 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(5783(a,1),9738(a,1,2))]. 9741 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(62,a,8263,a(flip),b,9739,a)]. 9742 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(3107(a,2),9741(a,1,2,2))]. 9744 T(x,T(T(y,z) \ z,u)) = T(x,T(y \ T(z,y),u)). [hyper(273,a,9027,a(flip),b,9028,a)]. 9745 (x * T(y \ T(z,y),u)) / K(T(y \ T(z,y),u),x) = T(x,T(T(y,z) \ z,u)) * T(y \ T(z,y),u). [para(9744(a,2),6470(a,2,1))]. 9747 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(5058(a,1),9163(a,1,1,2))]. 9748 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(9197(a,1),5596(a,1))]. 9749 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(8370(a,1),9368(a,1,1))]. 9750 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(8218(a,1),9393(a,1,1)),flip(a)]. 9751 (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). [para(2228(a,2),9394(a,2,2))]. 9752 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(8218(a,1),9394(a,1,1)),flip(a)]. 9754 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(939(a,1),9501(a,1,2))]. 9755 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6424(a,1),9581(a,1,1,1)),flip(a)]. 9756 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(131,a,9755,a(flip))]. 9757 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6447(a,1),9755(a,2,1))]. 9758 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(9756(a,1),8226(a,1,1)),flip(a)]. 9759 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(9756(a,1),9165(a,1,2,1)),flip(a)]. 9760 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(260(a,1),9759(a,1,2,1,1))]. 9761 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(9(a,1),9604(a,1,2))]. 9762 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(62,a,7985,a(flip),b,9761,a)]. 9764 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9762(a,2),8623(a,1))]. 9765 T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). [hyper(6615,a,9650,a)]. 9766 ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(9765(a,2),5577(a,1,2))]. 9767 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [hyper(131,a,9701,a)]. 9768 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(116,a,8968,a(flip),b,9750,a)]. 9770 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(9098(a,1),9754(a,1,2)),flip(a)]. 9771 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(9770(a,1),457(a,1,1,1))]. 9772 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(62,a,7597,a(flip),b,8294,a),flip(a)]. 9774 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5163(a,2),9772(a,1,1))]. 9775 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(171,a,9774,a(flip))]. 9776 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5357(a,1),9775(a,2,2))]. 9777 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(110(a,1),9776(a,1,1,1))]. 9778 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9777(a,1),6924(a,1,1))]. 9779 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4482(a,2),9778(a,1,1,2))]. 9780 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(9135(a,1),8335(a,1))]. 9781 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5388(a,1),9780(a,1,1,2))]. 9782 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(273,a,8441,a(flip),b,8434,a),flip(a)]. 9783 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(8570(a,1),8643(a,1,2,1,2))]. 9784 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(27(a,2),9783(a,2,2))]. 9785 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8570(a,1),8644(a,1,1,1,2))]. 9786 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(25(a,2),9785(a,2,2))]. 9787 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7445(a,1),9786(a,1,1,1,2))]. 9788 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [hyper(273,a,8898,a(flip),b,8884,a),flip(a)]. 9789 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(8407(a,1),9136(a,1,1)),flip(a)]. 9790 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7460(a,2),9789(a,2,1))]. 9792 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7505(a,1),9790(a,1,2,2)),flip(a)]. 9793 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(8282(a,2),9790(a,1,2,2)),flip(a)]. 9794 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(62,a,9694,a(flip),b,9792,a)]. 9796 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [hyper(5444,a,9794,a)]. 9797 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(128,a,9796,a),flip(a)]. 9798 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(273,a,5119,a(flip),b,9188,a),flip(a)]. 9799 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(9(a,1),9798(a,1,1,2,1))]. 9800 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9191(a,1),5455(a,1))]. 9801 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(4167,a,9508,a),flip(a)]. 9802 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7501(a,1),9696(a,1,1))]. 9803 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8535(a,1),9700(a,1,1)),flip(a)]. 9804 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [hyper(129,a,9803,a)]. 9806 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(9(a,1),9804(a,1,1,1,1))]. 9807 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(9428,a,9782,a)]. 9808 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(62,a,9786,a(flip),b,9787,a),flip(a)]. 9809 K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). [para(10(a,1),9808(a,1,2,1,2)),flip(a)]. 9810 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(5216(a,1),9808(a,1,2,1))]. 9811 K(x,T(L(y,z,u),y \ w)) = K(x,L(T(y,w),z,u)). [para(25(a,1),9809(a,1,2))]. 9812 K(T(x,y \ z),L(y,u,w)) = K(x,L(T(y,z),u,w)). [hyper(7583,a,9811,a)]. 9813 K(T(x,y \ z),L(y,u,w)) = K(x,T(L(y,u,w),z)). [para(25(a,1),9812(a,2,2))]. 9814 K(T(x,y \ z),L(y,u,w)) = K(T(x,z),L(y,u,w)). [hyper(273,a,7501,a,b,9813,a),flip(a)]. 9815 K(T(x,y \ z),L(y,u,w)) = 1 / K(L(y,u,w),T(x,z)). [hyper(273,a,5370,a,b,9814,a),flip(a)]. 9816 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5390,a,9815,a)]. 9817 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(62,a,7667,a,b,9816,a)]. 9818 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9817(a,1),8300(a,1,1,2)),flip(a)]. 9819 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(273,a,8326,a(flip),b,9818,a),flip(a)]. 9820 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(25(a,2),9819(a,2,2))]. 9821 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(4245(a,2),9820(a,1,2,1)),flip(a)]. 9822 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7514(a,1),9802(a,1,1))]. 9823 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(5134(a,1),9810(a,2,2,1))]. 9824 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(5331(a,1),9823(a,1,2,1))]. 9825 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4704(a,1),9824(a,1,2,1)),flip(a)]. 9826 K(x,L(y,z,y)) = K(x,y). [para(4263(a,1),9825(a,1,2)),flip(a)]. 9827 L(K(x,y),z,y) = K(x,y). [hyper(7119,a,9826,a)]. 9828 T(x,L(y,z,y)) = x * K(x,y). [para(9826(a,1),5163(a,2,2))]. 9829 K(x,L(T(y,z),u,y)) = K(x,T(y,z)). [para(9721(a,1),9826(a,1,2))]. 9830 K(L(x,y,z),z) = K(x,z). [hyper(9530,a,9827,a)]. 9831 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6900,a,9827,a)]. 9832 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(62,a,7116,a(flip),b,9827,a),flip(a)]. 9833 (x * y) * K(z,x) = x * (y * K(z,x)). [para(9827(a,1),94(a,1,2))]. 9835 K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u. [para(9827(a,1),6900(a,1))]. 9836 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(30(a,1),9830(a,1,1))]. 9837 T(x * K(y,x),L(y,z,x)) = x. [para(9830(a,1),5134(a,1,1,2))]. 9838 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9830(a,1),5833(a,1,2,1,2)),flip(a)]. 9839 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(9830(a,1),5835(a,1,1,1,2)),flip(a)]. 9840 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6377(a,1),9830(a,1,1))]. 9841 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9830(a,1),8579(a,1,1,2)),flip(a)]. 9842 T(x,L(y,z,y)) = x / K(y,x). [hyper(273,a,8224,a,b,9828,a),flip(a)]. 9843 T(x,L(y,z,y)) = T(x,y). [hyper(273,a,5163,a,b,9828,a),flip(a)]. 9845 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(383,a,9843,a),flip(a)]. 9848 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(9843(a,1),108(a,1,2))]. 9850 T(x,T(y / z,y)) = T(x,z \ y). [para(4394(a,1),9843(a,1,2))]. 9851 T(x,R(y,z,y)) = T(x,y). [para(4704(a,1),9843(a,1,2)),flip(a)]. 9852 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(9843(a,1),8388(a,1,2,1))]. 9853 T(x / y,R(y,z,y)) = y \ x. [hyper(273,a,110,a(flip),b,9851,a),flip(a)]. 9854 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(9851(a,1),108(a,1,2))]. 9855 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4428(a,1),9851(a,1,2))]. 9856 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4708(a,1),9851(a,1,2))]. 9857 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(7929(a,1),9851(a,1,2))]. 9858 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(7952(a,1),9851(a,1,2))]. 9860 T(x,L(y,z,x)) = T(x,y). [para(9837(a,1),5209(a,1,1)),flip(a)]. 9861 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(256(a,1),9860(a,1,2))]. 9862 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(457(a,1),9860(a,1,2)),flip(a)]. 9863 K(L(x,y,x),z) = K(x,z). [hyper(5188,a,9842,a)]. 9864 L(K(x,y),z,x) = K(x,y). [hyper(7166,a,9863,a)]. 9865 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(273,a,7642,a,b,9863,a),flip(a)]. 9867 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(62,a,7035,a(flip),b,9863,a)]. 9868 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(9863(a,1),5252(a,1,1))]. 9869 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(9721(a,1),9863(a,1,1))]. 9870 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(9780,a,9864,a)]. 9871 K(x,L(y,z,x)) = K(x,y). [hyper(62,a,9216,a(flip),b,9864,a)]. 9872 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(62,a,7132,a(flip),b,9864,a),flip(a)]. 9873 a(x,y,K(x,z)) = 1. [hyper(52,a,9864,a)]. 9874 (x * y) * K(x,z) = x * (y * K(x,z)). [para(9864(a,1),94(a,1,2))]. 9877 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(30(a,1),9871(a,1,2))]. 9878 K(x,(x \ 1) \ y) = K(x,x * y). [para(456(a,1),9871(a,1,2)),flip(a)]. 9879 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(685(a,1),9871(a,1,2)),flip(a)]. 9880 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(6377(a,1),9871(a,1,2))]. 9881 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9871(a,1),7107(a,1,1)),flip(a)]. 9882 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(9853(a,1),108(a,1,2))]. 9884 T(x,T(x,y) / z) = T(x,z \ T(x,y)). [hyper(7573,a,9850,a)]. 9885 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(8922,a,9855,a),flip(a)]. 9886 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(62,a,9041,a(flip),b,9855,a),flip(a)]. 9888 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(383,a,9857,a),flip(a)]. 9889 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(7119,a,9829,a)]. 9890 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(27(a,1),9858(a,1,2))]. 9891 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(9869(a,1),5252(a,1,1))]. 9892 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(62,a,7139,a(flip),b,9889,a)]. 9893 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(62,a,7116,a(flip),b,9889,a),flip(a)]. 9895 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [hyper(62,a,4063,a(flip),b,9890,a),flip(a)]. 9897 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(62,a,6908,a,b,9831,a)]. 9898 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(62,a,6707,a,b,9831,a)]. 9899 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(10(a,1),9831(a,1,1,1)),flip(a)]. 9900 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1210(a,1),9831(a,1,1,1)),flip(a)]. 9901 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(9831(a,1),6509(a,1,2))]. 9903 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(9832(a,1),5829(a,1,1,1,2))]. 9904 R(x,y,K(z,x)) = x. [hyper(7295,a,9833,a)]. 9906 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(9833(a,1),9223(a,2,2))]. 9908 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9904(a,1),474(a,1,1,1)),flip(a)]. 9914 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(9845(a,1),108(a,1,2)),flip(a)]. 9916 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(110(a,1),9848(a,1,2))]. 9919 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5989,a,9856,a),flip(a)]. 9920 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(108(a,1),9861(a,1,2,1)),flip(a)]. 9921 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(9861(a,1),7593(a,1,2))]. 9922 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(7382,a,9862,a)]. 9924 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(5423,a,9868,a)]. 9925 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3154,a,9868,a)]. 9926 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [hyper(115,a,9868,a(flip),b,5509,a)]. 9927 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(115,a,9868,a(flip),b,5507,a),flip(a)]. 9928 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9868(a,1),9671(a,1,2)),flip(a)]. 9929 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(7664,a,9870,a)]. 9930 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(10(a,1),9870(a,1,2,1)),flip(a)]. 9931 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(226(a,1),9870(a,1,2,1)),flip(a)]. 9932 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9870(a,1),6645(a,2,2))]. 9933 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(9870(a,1),7131(a,1,1))]. 9934 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(273,a,9195,a,b,9872,a),flip(a)]. 9935 R(x,y,K(x,z)) = x. [hyper(7295,a,9874,a)]. 9936 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(273,a,5497,a,b,9874,a)]. 9939 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(9874(a,1),6411(a,1,1))]. 9940 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(9874(a,2),9087(a,1,1,2))]. 9941 R(x,y,K(T(x,z),u)) = x. [hyper(136,a,9935,a(flip))]. 9943 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(9935(a,1),31(a,1,1)),flip(a)]. 9944 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(9935(a,1),474(a,1,1,1)),flip(a)]. 9945 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(9935(a,1),475(a,1,1,1)),flip(a)]. 9946 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(9935(a,1),476(a,1,1,1)),flip(a)]. 9952 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(9941(a,1),477(a,1,1)),flip(a),flip(b)]. 9953 R(x,y,T(x,z)) = R(x,y,x). [hyper(62,a,8114,a(flip),b,9943,a)]. 9954 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(9943(a,1),392(a,1,1)),flip(a)]. 9957 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(110(a,1),9953(a,1,3)),flip(a)]. 9958 R(x,y,(x \ z) \ z) = R(x,y,x). [para(109(a,1),9953(a,1,3))]. 9962 T(x,T(x,y) / z) = T(x,z \ x). [hyper(273,a,7377,a(flip),b,9884,a),flip(a)]. 9964 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(273,a,7842,a(flip),b,9897,a),flip(a)]. 9965 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9897(a,1),5829(a,1,1,1,2))]. 9966 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(9897(a,2),7928(a,1))]. 9967 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(9899(a,1),7928(a,1))]. 9968 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(273,a,9183,a,b,9922,a),flip(a)]. 9969 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2577(a,1),9922(a,1,2,1)),flip(a)]. 9972 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6182(a,1),9925(a,2,1))]. 9973 K(x,(y / x) \ z) = K(x,y \ (z * x)). [hyper(62,a,7381,a,b,9934,a)]. 9974 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(9(a,1),9934(a,1,2,1)),flip(a)]. 9975 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(9(a,1),9934(a,1,2)),flip(a)]. 9976 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9934(a,1),7131(a,1,1))]. 9977 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(9934(a,1),9780(a,1,1))]. 9978 K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). [para(10(a,1),9964(a,1,1,1))]. 9979 K((x / y) \ z,y) = K(x \ (z * y),y). [para(12(a,1),9964(a,1,1,1)),flip(a)]. 9980 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9968(a,1),5119(a,1,1,1))]. 9981 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(9973(a,1),7131(a,1,1))]. 9982 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(9973(a,1),9780(a,1,1))]. 9983 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(62,a,9242,a(flip),b,9974,a)]. 9984 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(273,a,8579,a(flip),b,9841,a),flip(a)]. 9985 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(457(a,1),9984(a,1,2,2)),flip(a)]. 9986 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(9405,a,9865,a)]. 9987 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(9865(a,1),9388(a,1))]. 9988 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(273,a,8865,a,b,9986,a),flip(a)]. 9989 K(T(x * y,y) / x,z) = K(y,z). [hyper(9404,a,9988,a),flip(a)]. 9991 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(10(a,1),9989(a,1,1,1,1))]. 9992 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(9991(a,1),7672(a,1,1)),flip(a)]. 9993 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9882(a,1),6370(a,2,2))]. 9994 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,9646,a(flip),b,9886,a)]. 9995 T(x,y) \ ((x * y) / R(x,z,x)) = R(x,z,x) \ y. [hyper(62,a,1641,a,b,9895,a)]. 9997 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6768,a,9898,a)]. 9998 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(6516,a,9914,a)]. 9999 (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). [para(4704(a,1),9916(a,1,1)),flip(a)]. 10000 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(7380,a,9920,a),flip(a)]. 10001 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(96(a,2),10000(a,1,2))]. 10002 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(62,a,7442,a,b,9928,a)]. 10003 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9928(a,1),8096(a,1,1))]. 10004 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(62,a,8150,a,b,9929,a)]. 10005 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [hyper(273,a,142,a(flip),b,9936,a),flip(a)]. 10006 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(212,a,6424,a,b,9936,a)]. 10008 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(62,a,5569,a(flip),b,10006,a)]. 10009 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(10(a,1),10006(a,1,1,1))]. 10010 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(199(a,1),10006(a,1,1)),flip(a)]. 10011 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(8515,a,10010,a)]. 10012 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(273,a,8919,a,b,10010,a),flip(a)]. 10013 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(273,a,7482,a,b,10010,a),flip(a)]. 10014 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(10010(a,1),8439(a,1,2))]. 10015 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(10010(a,1),8511(a,1,1))]. 10016 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(10010(a,2),8931(a,1))]. 10017 T(T(x,K(y,z)),z) = T(x,T(z,y)). [hyper(424,a,10011,a)]. 10018 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(10011(a,1),209(a,1,2)),flip(a)]. 10019 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(10011(a,1),7503(a,1,1))]. 10020 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(10011(a,1),8826(a,2,1))]. 10021 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(110(a,1),10014(a,1,2,2)),flip(a)]. 10022 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(8711(a,1),10017(a,1,1))]. 10023 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8997(a,1),10017(a,1,1))]. 10024 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(27(a,2),10019(a,1,1))]. 10025 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(62,a,6638,a(flip),b,10009,a),flip(a)]. 10026 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(10009(a,1),8692(a,2,2))]. 10027 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(10012(a,2),8920(a,1))]. 10028 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(6033(a,2),10013(a,2,2))]. 10029 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(10008(a,2),10018(a,1,1))]. 10030 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(62,a,9064,a(flip),b,10021,a),flip(a)]. 10031 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(110(a,1),10030(a,1,2)),flip(a)]. 10032 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6677(a,1),10030(a,1,2))]. 10033 T(x \ y,K(z,x)) = x \ T(y,K(x,z)). [hyper(8515,a,10025,a)]. 10034 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(7507(a,1),10033(a,2,2))]. 10035 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(10034(a,1),10017(a,1,1)),flip(a)]. 10036 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(9939(a,1),6428(a,1,2))]. 10037 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(8520(a,2),9957(a,1,1))]. 10038 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(62,a,5927,a(flip),b,9997,a),flip(a)]. 10039 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8781(a,1),10015(a,1,1))]. 10040 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(62,a,4397,a,b,10023,a)]. 10041 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(273,a,9862,a(flip),b,10031,a),flip(a)]. 10042 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(8920,a,10032,a)]. 10043 T(x * y,T(z,x)) != u | T(x * y,T(z,y)) = u. [para(10032(a,1),8920(a,1))]. 10044 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(188(a,1),10042(a,1,2)),flip(a)]. 10045 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(10035(a,1),108(a,1,2))]. 10047 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(7928,a,10038,a),flip(a)]. 10048 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(10040(a,1),209(a,1,2))]. 10049 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(10047(a,1),5201(a,2,2,2))]. 10050 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(273,a,7107,a(flip),b,9881,a),flip(a)]. 10051 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(457(a,1),10050(a,1,2)),flip(a)]. 10053 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7963(a,1),9966(a,1))]. 10054 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6908(a,1),10053(a,1))]. 10055 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7114(a,2),10053(a,1))]. 10056 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5843(a,2),10054(a,1))]. 10057 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(62,a,8546,a(flip),b,9879,a),flip(a)]. 10058 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(10057(a,2),7566(a,1,1))]. 10059 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(8834,a,9893,a),flip(a)]. 10060 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9893(a,1),8834(a,1))]. 10061 K((x * y) / z,x) = K(y / (x \ z),x). [hyper(8833,a,10059,a)]. 10062 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(273,a,4944,a,b,9901,a)]. 10063 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(56,a,9901,a)]. 10064 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(9(a,1),9901(a,2,2,1,2))]. 10065 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(9901(a,1),8226(a,1,1))]. 10066 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(450,a,9908,a)]. 10067 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(62,a,7839,a(flip),b,9908,a),flip(a)]. 10068 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(9530,a,10066,a)]. 10069 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(6900,a,10066,a)]. 10072 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(771(a,1),10068(a,1,1))]. 10073 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(62,a,9189,a(flip),b,9921,a)]. 10074 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(273,a,6220,a,b,10073,a),flip(a)]. 10075 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(62,a,6220,a,b,10074,a)]. 10076 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(9(a,1),10075(a,1,2,2)),flip(a)]. 10077 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(62,a,4941,a(flip),b,9932,a),flip(a)]. 10078 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(62,a,4940,a(flip),b,9932,a),flip(a)]. 10079 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(114,a,9932,a(flip),b,4940,a(flip)),flip(a)]. 10080 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(10079(a,1),7027(a,2,2))]. 10081 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(450,a,9944,a)]. 10082 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(9780,a,10081,a)]. 10083 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(122,a,9954,a)]. 10085 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(7657,a,9983,a),flip(a)]. 10086 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6287(a,1),10085(a,1,2))]. 10087 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(919(a,1),9985(a,1,2,2)),flip(a)]. 10088 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [hyper(131,a,9995,a)]. 10089 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10002(a,1),9888(a,1,1,2,1))]. 10090 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(62,a,8824,a(flip),b,10020,a),flip(a)]. 10091 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(27(a,2),10024(a,2,1))]. 10092 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(34,a,5212,a,b,10029,a)]. 10093 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(11(a,1),10062(a,1,1,1,2)),flip(a)]. 10094 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(8336,a,10065,a)]. 10095 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(7172,a,10094,a)]. 10096 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(7171,a,10094,a)]. 10097 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(96(a,2),10094(a,1,2))]. 10098 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(207(a,1),10094(a,1,2)),flip(a)]. 10099 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(273,a,9930,a(flip),b,10096,a),flip(a)]. 10100 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4180(a,1),10097(a,2,2,2,2))]. 10101 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(8282(a,2),10067(a,1,2))]. 10102 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(273,a,7968,a(flip),b,10069,a),flip(a)]. 10104 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(10102(a,1),8443(a,2,2))]. 10105 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(10092(a,1),7577(a,1,2))]. 10106 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1382(a,1),10101(a,1,2)),flip(a)]. 10107 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1952(a,1),10101(a,1,2)),flip(a)]. 10108 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(8601(a,1),10060(a,1))]. 10109 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(273,a,5356,a(flip),b,10098,a),flip(a)]. 10111 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(62,a,6915,a(flip),b,9840,a)]. 10112 K(K(x \ y,x) * z,y) = K(z,y). [hyper(9395,a,10111,a),flip(a)]. 10115 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(10112(a,1),5163(a,2,2)),flip(a)]. 10116 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(450,a,9945,a)]. 10117 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(9945(a,1),8226(a,1,1))]. 10118 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(9945(a,1),8240(a,1,1))]. 10120 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(9530,a,10116,a)]. 10121 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(9551,a,10120,a),flip(a)]. 10123 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(7176,a,9946,a),flip(a)]. 10124 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(8502(a,1),10005(a,1,2))]. 10125 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(273,a,5163,a,b,10028,a),flip(a)]. 10127 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(8515,a,10125,a)]. 10128 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(10125(a,1),10027(a,1))]. 10129 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5857(a,1),10127(a,1,2))]. 10130 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4931(a,2),10048(a,1,2))]. 10131 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(273,a,5201,a,b,10049,a),flip(a)]. 10132 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(9190,a,10131,a),flip(a)]. 10133 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(5238,a,10132,a)]. 10134 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(9(a,1),10133(a,1,2,2)),flip(a)]. 10135 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(62,a,9195,a,b,10134,a)]. 10136 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6558(a,2),10051(a,2,2,2)),flip(a)]. 10138 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(10093(a,1),9265(a,1,2,2))]. 10139 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(9(a,1),10138(a,1,2,2,1,1))]. 10140 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(62,a,9271,a(flip),b,10139,a),flip(a)]. 10141 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(10140(a,1),5163(a,2,2)),flip(a)]. 10142 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(10140(a,1),5595(a,1,2,2))]. 10143 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(273,a,8443,a(flip),b,10104,a),flip(a)]. 10144 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(7491(a,1),10105(a,1,2))]. 10145 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6487,a,10115,a),flip(a)]. 10146 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5397(a,1),10145(a,2,1))]. 10147 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(9138,a,10117,a)]. 10148 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(9530,a,10147,a)]. 10149 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(62,a,9216,a(flip),b,10147,a)]. 10150 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4331(a,1),10148(a,1,1))]. 10151 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(62,a,8000,a(flip),b,10123,a),flip(a)]. 10152 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(9001(a,1),10124(a,1,2))]. 10153 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(10152(a,2),42(a,1))]. 10154 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(4222(a,2),10152(a,2,2,1))]. 10155 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(104(a,1),10151(a,1,2,2)),flip(a)]. 10156 (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(4944(a,2),9906(a,2,2))]. 10157 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(9952,a,7158,a)]. 10158 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(62,a,8639,a(flip),b,10157,a),flip(a)]. 10159 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(9416,a,10158,a)]. 10160 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(6566,a,10159,a),flip(a)]. 10161 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(62,a,9232,a,b,10159,a)]. 10162 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(10(a,1),10159(a,1,2,1)),flip(a)]. 10163 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(10159(a,1),6566(a,1))]. 10164 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(62,a,10057,a,b,10160,a)]. 10165 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(56,a,10160,a)]. 10166 K(x,((x * y) / z) \ x) = K(x,z / y). [para(9(a,1),10160(a,1,2,2)),flip(a)]. 10167 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(62,a,9234,a,b,10161,a)]. 10168 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8385,a,10162,a)]. 10170 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(11(a,1),10168(a,1,2,2))]. 10172 x * K(x,y / (z * x)) = T(x,(x \ y) / z). [para(10170(a,1),5163(a,2,2)),flip(a)]. 10173 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(10170(a,1),8226(a,1,1,2))]. 10174 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(10164(a,2),7476(a,2,1)),flip(a)]. 10175 T(x,(x \ y) / z) = T(x,y / (z * x)). [hyper(5167,a,10172,a),flip(a)]. 10176 T(x,(x \ y) / z) = T(x,y / (x * z)). [hyper(273,a,9254,a(flip),b,10175,a),flip(a)]. 10177 T(x,(x * y) / (x * z)) = T(x,y / z). [para(9(a,1),10176(a,1,2,1)),flip(a)]. 10178 T(x,(x * y) / z) = T(x,y / (x \ z)). [para(10(a,1),10177(a,1,2,2))]. 10179 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(62,a,9239,a,b,10178,a)]. 10180 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5786,a,10165,a)]. 10181 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(62,a,10179,a,b,10180,a)]. 10182 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(8240,a,10173,a),flip(a)]. 10184 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(273,a,4862,a(flip),b,9969,a),flip(a)]. 10185 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(10(a,1),10184(a,1,2,2)),flip(a)]. 10186 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(273,a,5833,a(flip),b,9838,a),flip(a)]. 10187 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(456(a,1),10186(a,1,1)),flip(a)]. 10188 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(62,a,5681,a(flip),b,10187,a),flip(a)]. 10189 K(R(x,y,z),L(u,w,x)) = K(R(x,y,z),u). [hyper(273,a,5835,a(flip),b,9839,a),flip(a)]. 10190 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,9284,a(flip),b,9994,a)]. 10191 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7653,a,10190,a)]. 10192 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(273,a,9238,a(flip),b,10191,a),flip(a)]. 10193 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(273,a,5945,a(flip),b,10039,a),flip(a)]. 10194 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(115,a,10193,a(flip),b,5137,a)]. 10195 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(5056(a,1),10063(a,2,1)),flip(a)]. 10196 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(9401,a,10072,a)]. 10197 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(62,a,9614,a(flip),b,10196,a),flip(a)]. 10198 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(33,a,10078,a,b,10080,a(flip))]. 10200 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(10198(a,1),8226(a,1,1,2)),flip(a)]. 10201 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(273,a,8226,a(flip),b,10200,a),flip(a)]. 10202 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(10(a,1),10201(a,1,1,1)),flip(a)]. 10203 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(9835,a,10202,a)]. 10204 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(10202(a,1),5201(a,2,2,2)),flip(a)]. 10205 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(7090,a,10203,a)]. 10206 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5288,a,10204,a),flip(a)]. 10207 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(62,a,9861,a,b,10206,a)]. 10208 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(62,a,9599,a,b,10207,a)]. 10209 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(8820,a,10129,a)]. 10210 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(110(a,1),10129(a,2,2,2))]. 10211 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(62,a,8813,a(flip),b,10210,a)]. 10212 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(62,a,10209,a(flip),b,10211,a)]. 10213 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(10128,a,10212,a)]. 10214 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(74(a,1),10213(a,1,2,1,2)),flip(a)]. 10215 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(62,a,8901,a(flip),b,10214,a),flip(a)]. 10216 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(62,a,8887,a,b,10215,a)]. 10217 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5397(a,1),10146(a,1,1,1))]. 10218 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6366,a,10217,a),flip(a)]. 10219 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(10218(a,2),452(a,2,2))]. 10220 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(600(a,1),10188(a,1,2)),flip(a)]. 10221 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(273,a,9644,a(flip),b,10194,a),flip(a)]. 10222 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(273,a,3109,a,b,9981,a),flip(a)]. 10223 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2059(a,2),9981(a,2,2,1,2))]. 10224 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(636,a,10036,a),flip(a)]. 10226 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6606(a,1),9919(a,1,1))]. 10227 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(62,a,8736,a(flip),b,9940,a),flip(a)]. 10229 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(62,a,9607,a(flip),b,10227,a),flip(a)]. 10232 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(10229(a,1),10060(a,1))]. 10233 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(273,a,7588,a(flip),b,9992,a),flip(a)]. 10234 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(4084(a,1),10233(a,1,1)),flip(a)]. 10235 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(7810,a,10234,a)]. 10236 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5518(a,1),9993(a,1,2)),flip(a)]. 10237 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5359(a,1),10026(a,1,1,2))]. 10238 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(62,a,8789,a(flip),b,10044,a),flip(a)]. 10239 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(10238(a,1),5894(a,1,2,2))]. 10240 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(273,a,4261,a(flip),b,10106,a),flip(a)]. 10241 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(273,a,4260,a(flip),b,10107,a),flip(a)]. 10242 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(9(a,1),10241(a,1,1,2,1)),flip(a)]. 10243 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5596,a,10142,a),flip(a)]. 10244 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(10056,a,10243,a),flip(a)]. 10245 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(62,a,9247,a,b,10244,a)]. 10246 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(10(a,1),10244(a,1,1,2,2))]. 10247 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(12(a,1),10245(a,1,1,2,1)),flip(a)]. 10248 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(10153,a,10154,a),flip(a)]. 10249 T(x / T(y,x),z) * T(y,T(x,z)) = x * K(T(x,y) / y,z). [para(10010(a,1),10154(a,1,2))]. 10250 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5569(a,1),10248(a,1,1,1))]. 10251 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(62,a,5059,a(flip),b,10195,a),flip(a)]. 10252 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(10038(a,1),10251(a,1,1,2))]. 10253 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(8869(a,1),10237(a,1,1))]. 10254 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(62,a,9683,a(flip),b,9822,a),flip(a)]. 10255 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9758(a,2),10254(a,1,1))]. 10256 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(10255(a,1),5392(a,1))]. 10257 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5450,a,9980,a),flip(a)]. 10259 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(4704(a,1),9999(a,1,2))]. 10260 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [hyper(128,a,10259,a)]. 10261 T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). [para(10259(a,1),4300(a,1,2)),flip(a)]. 10262 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(1065(a,1),10260(a,1,1,2))]. 10263 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [hyper(273,a,10088,a,b,10262,a),flip(a)]. 10264 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(4110,a,10263,a)]. 10265 T(x,x * (y / R(x,z,x))) = T(x,y). [hyper(62,a,10261,a,b,10264,a)]. 10267 T(x,y * R(x,z,x)) = T(x,x * y). [para(11(a,1),10265(a,1,2,2)),flip(a)]. 10268 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(273,a,5163,a(flip),b,10267,a),flip(a)]. 10269 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5238,a,10268,a)]. 10270 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(62,a,7891,a,b,10269,a)]. 10271 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(62,a,7431,a,b,10270,a)]. 10272 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(10058,a,10174,a)]. 10273 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(10272(a,1),5163(a,2,2)),flip(a)]. 10274 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5167,a,10273,a),flip(a)]. 10275 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10273(a,1),5167(a,1))]. 10276 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(62,a,10041,a(flip),b,10274,a),flip(a)]. 10277 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(74(a,1),10276(a,1,2,1,1)),flip(a)]. 10278 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7460(a,2),8188(a,1,1))]. 10279 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8611(a,1),8298(a,1,1,2))]. 10280 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(10(a,1),8351(a,1,1,1)),flip(a)]. 10281 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [hyper(273,a,5102,a,b,10280,a),flip(a)]. 10282 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(8589(a,1),10281(a,1,2))]. 10283 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(8218(a,1),10282(a,1,2)),flip(a)]. 10284 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(10283(a,1),9779(a,1,1,2))]. 10285 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [hyper(273,a,5858,a(flip),b,8609,a),flip(a)]. 10287 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [hyper(273,a,3635,a(flip),b,10285,a),flip(a)]. 10288 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4190(a,1),10287(a,1,2))]. 10289 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(273,a,7026,a,b,8731,a),flip(a)]. 10290 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(273,a,5879,a(flip),b,8930,a),flip(a)]. 10291 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(273,a,9836,a(flip),b,9112,a),flip(a)]. 10293 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(108(a,1),9162(a,1,1,2,2))]. 10294 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(5055(a,2),10293(a,1,1))]. 10295 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,10065,a(flip),b,10294,a),flip(a)]. 10296 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(12(a,1),10295(a,1,2,1,2)),flip(a)]. 10297 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(10295(a,1),8226(a,1,1,2))]. 10298 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(62,a,9170,a(flip),b,10296,a)]. 10299 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(8(a,1),10298(a,2,2,1))]. 10300 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(9(a,1),10298(a,1,2,1,2)),flip(a)]. 10301 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(12(a,1),10299(a,1,2,1)),flip(a)]. 10302 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(10301(a,1),7131(a,1,1))]. 10303 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(62,a,9933,a,b,10300,a)]. 10304 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(8240,a,10297,a),flip(a)]. 10305 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(62,a,9108,a(flip),b,10304,a)]. 10306 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(62,a,10291,a(flip),b,10305,a),flip(a)]. 10308 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(10305(a,1),5201(a,2,2,2)),flip(a)]. 10309 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5288,a,10308,a),flip(a)]. 10310 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(62,a,9177,a,b,10309,a)]. 10311 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(10310(a,1),5119(a,1,1,1))]. 10312 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,10303,a(flip),b,10302,a),flip(a)]. 10313 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6301(a,1),9286(a,1,2,2)),flip(a)]. 10315 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(9437,a,9353,a)]. 10317 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(273,a,8775,a(flip),b,10315,a),flip(a)]. 10318 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(491(a,2),10317(a,1,2,2))]. 10319 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5223(a,1),9369(a,1,1,2))]. 10320 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5199(a,1),10319(a,1,2,2))]. 10321 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(8005(a,1),9490(a,1,2)),flip(a)]. 10323 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(273,a,9537,a(flip),b,9544,a),flip(a)]. 10324 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(77(a,1),10323(a,1,2,1,1)),flip(a)]. 10325 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [hyper(62,a,7682,a(flip),b,10324,a)]. 10326 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4209(a,1),9616(a,1,1))]. 10327 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(273,a,9267,a(flip),b,10326,a),flip(a)]. 10328 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6177(a,1),9972(a,1,2)),flip(a)]. 10329 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(273,a,3174,a,b,10328,a),flip(a)]. 10330 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(9981(a,1),9977(a,1))]. 10331 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(9976(a,1),9982(a,1))]. 10332 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7655,a,10004,a)]. 10333 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(9(a,1),10240(a,1,1,2,1))]. 10334 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(9(a,1),10242(a,1,1,2,1)),flip(a)]. 10335 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(8782(a,1),10250(a,2,1,2))]. 10336 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7460(a,2),10278(a,1,2,1))]. 10337 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(6084(a,1),10289(a,2,1))]. 10338 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5626(a,1),10337(a,1,2))]. 10339 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(10338(a,1),8369(a,1,2)),flip(a)]. 10340 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(4222(a,2),10339(a,2,2,1))]. 10341 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(8184(a,1),8186(a,1,3)),flip(a)]. 10342 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(10341(a,1),43(a,1))]. 10343 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(8297(a,2),25(a,2,1)),flip(a)]. 10344 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(8295(a,2),8297(a,2,2))]. 10345 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8705(a,1),8730(a,1,1))]. 10346 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8504(a,1),8890(a,1,1,3))]. 10347 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5388(a,1),10346(a,2,2))]. 10348 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(5575(a,1),9021(a,1,2)),flip(a)]. 10349 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(273,a,8580,a(flip),b,10348,a),flip(a)]. 10350 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(27(a,2),10349(a,2,1))]. 10351 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(7444,a,10350,a)]. 10353 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(62,a,10091,a(flip),b,10351,a),flip(a)]. 10354 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(62,a,9306,a(flip),b,10353,a)]. 10355 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(62,a,5403,a,b,10354,a)]. 10356 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(62,a,9665,a(flip),b,9262,a),flip(a)]. 10358 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(62,a,9261,a(flip),b,10356,a)]. 10359 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(v5,x) * u,w)). [hyper(273,a,9663,a,b,10358,a)]. 10361 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5387(a,1),10358(a,1,2,2)),flip(a)]. 10362 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(10358(a,1),8226(a,1,1,2)),flip(a)]. 10363 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(518(a,1),10361(a,1,2)),flip(a)]. 10364 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(v5,x) * u,w)). [hyper(62,a,9667,a,b,10359,a)]. 10365 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(273,a,8226,a(flip),b,10362,a),flip(a)]. 10366 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(5127(a,1),10365(a,1,1,2)),flip(a)]. 10367 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10365(a,1),5201(a,2,2,2))]. 10368 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(10366(a,1),5735(a,1,2,1,2)),flip(a)]. 10370 T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(v5,x) * u,w)). [para(10364(a,1),5163(a,2,2))]. 10371 T(x,R(y,K(z,x) * u,w)) = T(x,R(y,u,w)). [hyper(273,a,5201,a,b,10367,a),flip(a)]. 10373 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(v5,x) * u,w)). [hyper(273,a,5163,a,b,10370,a),flip(a)]. 10374 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(v5,x) * u,w)). [para(5518(a,1),10373(a,1,2,1))]. 10375 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(273,a,10371,a(flip),b,10374,a),flip(a)]. 10376 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(7599,a,10375,a)]. 10377 K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). [hyper(273,a,5735,a(flip),b,10368,a),flip(a)]. 10378 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(9423,a,9379,a)]. 10379 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(9681,a,9747,a),flip(a)]. 10380 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(10(a,1),10379(a,2,2,1))]. 10381 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(74(a,1),10379(a,1,2,1,2)),flip(a)]. 10382 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(62,a,9880,a(flip),b,10380,a),flip(a)]. 10383 K(x,((y \ x) * y) \ z) = K(x,x \ z). [para(74(a,1),10380(a,1,2,1,2))]. 10384 K(x,x \ ((y \ x) * (y * z))) = K(x,L(z,y,y \ x)). [para(18(a,2),10383(a,1,2)),flip(a)]. 10386 K(x,K(y \ x,y) * z) = K(x,z). [para(9(a,1),10382(a,1,2)),flip(a)]. 10387 K(x,y * K(z \ x,z)) = K(x,y). [hyper(62,a,8220,a(flip),b,10386,a)]. 10388 K(x * y,K(y,x) * z) = K(x * y,z). [para(9(a,1),10386(a,1,2,1,1))]. 10389 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(5751(a,1),10386(a,1,2))]. 10390 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5907(a,1),10386(a,1,2)),flip(a)]. 10393 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(8221(a,1),10387(a,1,2)),flip(a)]. 10395 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(10388(a,1),5134(a,1,1,2))]. 10396 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(74(a,1),10389(a,1,2,1)),flip(a)]. 10397 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(317(a,1),10381(a,1,2,1)),flip(a)]. 10398 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(8271(a,1),10397(a,1,2,1))]. 10399 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(8100(a,1),10393(a,1,2))]. 10400 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(109(a,1),10399(a,1,2,2))]. 10401 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(62,a,6578,a(flip),b,10400,a),flip(a)]. 10402 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(10395(a,1),6415(a,1,2)),flip(a)]. 10403 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6180(a,1),9697(a,2,2))]. 10404 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(8007(a,1),10403(a,1,1,1))]. 10405 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [hyper(176,a,10404,a)]. 10407 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(62,a,9686,a(flip),b,10405,a)]. 10408 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(7460(a,2),10405(a,2,1))]. 10409 (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). [para(6227(a,1),10407(a,1,1))]. 10410 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(104(a,1),10409(a,1,1))]. 10411 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7460(a,2),10410(a,2,1))]. 10412 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8854(a,1),10411(a,2,1))]. 10413 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(273,a,145,a(flip),b,9705,a),flip(a)]. 10414 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(273,a,5157,a,b,10413,a),flip(a)]. 10416 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(273,a,8440,a,b,10414,a),flip(a)]. 10418 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(9(a,1),9806(a,2,2,1,1))]. 10419 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(128,a,10418,a)]. 10420 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10418(a,1),280(a,1,1))]. 10422 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(108(a,2),10419(a,1,2))]. 10423 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(10402(a,2),10422(a,1,1))]. 10424 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(9797(a,2),10420(a,1))]. 10425 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10424,a,9271,a),flip(a)]. 10426 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(10(a,1),10425(a,1,2,2,2)),flip(a)]. 10427 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(20(a,2),10426(a,2,2))]. 10429 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(5832,a,9903,a),flip(a)]. 10431 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5832,a,9965,a),flip(a)]. 10432 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(96(a,2),10431(a,1,1))]. 10433 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(273,a,4456,a(flip),b,10344,a),flip(a)]. 10434 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8596(a,1),10345(a,1,1,2,1))]. 10435 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10378(a,1),9423(a,1))]. 10436 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10423(a,1),482(a,1))]. 10437 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10436,a,10427,a)]. 10438 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10437(a,1),480(a,1,1))]. 10439 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(62,a,6197,a(flip),b,10438,a),flip(a)]. 10440 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5253(a,1),10439(a,2,1))]. 10441 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(62,a,10402,a(flip),b,10440,a)]. 10443 L(x,K(y,z),z * y) = x. [hyper(739,a,10441,a)]. 10444 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(524,a,10441,a)]. 10446 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(115,a,6425,a(flip),b,10441,a)]. 10447 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(115,a,10,a(flip),b,10441,a),flip(a)]. 10448 K(x,(y * x) * z) = K(x,(x * y) * z). [para(10441(a,1),7901(a,1,2)),flip(a)]. 10449 L(x,K(y \ z,y),z) = x. [para(10(a,1),10443(a,1,3))]. 10450 L(x,K(y,y \ z),z) = x. [para(5406(a,1),10449(a,1,2))]. 10451 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(62,a,6377,a(flip),b,10450,a)]. 10452 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(10447(a,1),5137(a,1,2)),flip(a)]. 10454 K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. [para(8443(a,2),10447(a,1,1))]. 10455 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(10448(a,2),9335(a,1,2))]. 10456 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(115,a,1091,a(flip),b,10444,a),flip(a)]. 10458 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(273,a,9124,a(flip),b,10446,a),flip(a)]. 10459 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(273,a,9122,a(flip),b,10446,a),flip(a)]. 10460 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(10446(a,2),2227(a,1))]. 10462 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(10(a,1),10451(a,1,2)),flip(a)]. 10464 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(10462(a,1),10444(a,1,2)),flip(a)]. 10465 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(10454(a,1),7901(a,1,2,2))]. 10466 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(62,a,7744,a,b,10456,a)]. 10467 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(62,a,7740,a(flip),b,10466,a)]. 10468 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(8244,a,9489,a)]. 10469 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(273,a,2232,a(flip),b,10468,a),flip(a)]. 10470 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(8218(a,1),10469(a,1,2)),flip(a)]. 10471 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(9224(a,1),10470(a,1,2))]. 10472 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5639,a,10471,a)]. 10473 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5423,a,10471,a)]. 10474 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2235,a,10471,a)]. 10475 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(639,a,10471,a)]. 10477 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(62,a,6289,a,b,10471,a)]. 10479 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(10471(a,1),5137(a,1,2)),flip(a)]. 10480 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(6159(a,1),10471(a,1,2))]. 10481 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10471(a,1),7054(a,1,1)),flip(a)]. 10482 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7107(a,1),10471(a,1,2))]. 10483 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(10471(a,1),7947(a,1,2,2,2))]. 10486 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(10473(a,1),5437(a,1,2))]. 10487 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(62,a,9489,a,b,10474,a)]. 10488 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(33,a,6288,a,b,10474,a)]. 10489 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(7121(a,1),10474(a,1,1))]. 10490 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(10477(a,1),127(a,1,2)),flip(b)]. 10491 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(7182(a,1),10488(a,1,1))]. 10492 T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). [hyper(62,a,6997,a,b,10479,a)]. 10493 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10482(a,1),5083(a,2,2))]. 10494 (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(10492(a,1),6411(a,2,2))]. 10495 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(7107(a,1),10486(a,1,2))]. 10496 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6288(a,1),10481(a,1,2)),flip(a)]. 10497 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(115,a,5387,a(flip),b,10496,a),flip(a)]. 10498 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. [hyper(62,a,8062,a(flip),b,10497,a)]. 10499 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(62,a,10481,a(flip),b,10498,a),flip(a)]. 10500 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(503,a,10499,a)]. 10501 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(10499(a,1),131(a,1))]. 10503 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(10475(a,1),9767(a,1,1))]. 10504 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(273,a,5322,a,b,10487,a)]. 10505 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(6264(a,1),10480(a,1,1))]. 10506 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(10501,a,10503,a)]. 10507 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(273,a,7900,a(flip),b,10483,a),flip(a)]. 10510 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(62,a,8389,a(flip),b,10493,a)]. 10511 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(25(a,2),10510(a,1,2,2))]. 10512 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(107(a,1),10511(a,1,2,2,1))]. 10513 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(273,a,8666,a(flip),b,8397,a),flip(a)]. 10514 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(273,a,9614,a(flip),b,10513,a),flip(a)]. 10515 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(62,a,10102,a(flip),b,10514,a)]. 10517 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(62,a,9017,a(flip),b,10515,a)]. 10518 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(8957,a,10517,a),flip(a)]. 10520 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(273,a,10182,a(flip),b,10518,a),flip(a)]. 10521 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(62,a,10197,a,b,10520,a)]. 10523 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8542(a,1),8586(a,1,2,2,1))]. 10527 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(161(a,1),8940(a,1,2,1))]. 10528 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(273,a,9088,a(flip),b,9089,a),flip(a)]. 10530 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(74(a,1),10528(a,1,1,2,1,2,1))]. 10532 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(62,a,9282,a(flip),b,10530,a)]. 10533 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(62,a,8726,a(flip),b,10532,a)]. 10534 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(273,a,9032,a(flip),b,9343,a),flip(a)]. 10535 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(592(a,1),10534(a,1,2,1,1)),flip(a)]. 10536 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5064(a,1),10535(a,1,2,1)),flip(a)]. 10537 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7460(a,2),10536(a,2,2))]. 10539 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(10537(a,2),9469(a,1))]. 10540 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(273,a,9537,a(flip),b,9545,a),flip(a)]. 10541 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(62,a,7631,a(flip),b,10540,a),flip(a)]. 10542 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(8590(a,1),10540(a,1,2,1,1)),flip(a)]. 10544 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(62,a,7462,a(flip),b,10541,a),flip(a)]. 10545 K(x,y \ T(x,z)) = K(x,y \ x). [para(5173(a,2),10544(a,1,2,2))]. 10546 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(5142(a,1),10544(a,1,2,2)),flip(a)]. 10547 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5489(a,1),10544(a,1,2,2)),flip(a)]. 10548 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(6321(a,1),10544(a,1,2,2)),flip(a)]. 10549 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6362(a,1),10544(a,1,2,2)),flip(a)]. 10550 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(10544(a,1),7460(a,2,1))]. 10551 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8590(a,1),10544(a,1,2,2)),flip(a)]. 10553 K(x,T(y \ x,z)) = K(x,T(y,z) \ x). [hyper(62,a,7661,a(flip),b,10545,a)]. 10554 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(10025(a,2),10545(a,1,2))]. 10555 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5886(a,1),10551(a,1,2,2))]. 10556 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6613(a,1),10551(a,1,2,2)),flip(a)]. 10557 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(9408,a,10553,a),flip(a)]. 10559 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(62,a,10082,a,b,10547,a)]. 10560 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(77(a,1),10555(a,1,2,2)),flip(a)]. 10561 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(8206(a,1),10557(a,1,2,1))]. 10563 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(62,a,8964,a(flip),b,10560,a),flip(a)]. 10564 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(444(a,1),10549(a,1,2))]. 10565 K(x,y \ ((z * x) * u)) = K(x,y \ ((x * z) * u)). [para(10441(a,1),10549(a,1,2,2))]. 10566 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(273,a,7460,a,b,10550,a),flip(a)]. 10567 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(62,a,7691,a(flip),b,10556,a),flip(a)]. 10568 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5173(a,2),10566(a,1,2,1,2))]. 10569 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7531(a,1),10566(a,1,2,1,2))]. 10571 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(273,a,7501,a,b,10569,a),flip(a)]. 10572 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(273,a,10568,a(flip),b,10569,a),flip(a)]. 10574 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(273,a,10398,a(flip),b,10561,a),flip(a)]. 10576 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(62,a,7149,a(flip),b,10574,a)]. 10577 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(5182(a,1),10576(a,1,2,2))]. 10578 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(74(a,1),10577(a,1,2,2,2))]. 10580 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(10578(a,1),7141(a,1))]. 10581 (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). [para(5917(a,2),9642(a,1,1,1)),flip(a)]. 10582 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(5132(a,1),10581(a,2,1))]. 10583 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [hyper(62,a,9381,a(flip),b,9660,a),flip(a)]. 10584 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [hyper(273,a,9055,a(flip),b,10583,a),flip(a)]. 10585 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(9788(a,1),10584(a,1,1,1)),flip(a)]. 10586 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(5368(a,1),10585(a,2,1))]. 10587 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [hyper(273,a,8412,a(flip),b,10586,a),flip(a)]. 10589 K(x,K(y / (z \ 1),L(u,z \ 1,z))) != w | K(u,K(x,T(z * y,z))) = w. [para(10587(a,2),9435(a,1))]. 10590 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9485(a,1),10342(a,1)),flip(a)]. 10591 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1414(a,1),10458(a,1,2))]. 10592 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(636,a,10591,a),flip(a)]. 10593 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(9127,a,10592,a)]. 10594 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [para(10592(a,1),5138(a,1,2)),flip(a)]. 10595 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(210(a,1),10593(a,1,2,1))]. 10596 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(10593(a,1),9801(a,1,1)),flip(a)]. 10597 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5372(a,1),10595(a,1,1))]. 10598 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(8918(a,1),10597(a,1,2)),flip(a)]. 10599 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(273,a,9695,a(flip),b,10598,a),flip(a)]. 10600 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1417(a,1),10459(a,1,2))]. 10602 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(636,a,10600,a),flip(a)]. 10603 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10600(a,1),636(a,1))]. 10604 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(131,a,10602,a)]. 10605 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(62,a,9122,a,b,10602,a)]. 10606 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10602(a,1),6859(a,1,1)),flip(a)]. 10607 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10602(a,1),7731(a,1,2)),flip(a)]. 10608 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(8785(a,2),10602(a,1,2))]. 10609 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4667(a,1),10606(a,2,1))]. 10610 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10605(a,1),7540(a,1,1))]. 10611 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10605(a,1),8988(a,1,1)),flip(a)]. 10612 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(12(a,1),10610(a,1,2,2))]. 10613 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5612,a,10607,a)]. 10614 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(5608,a,10607,a)]. 10615 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(62,a,929,a(flip),b,10613,a)]. 10616 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10603,a,10608,a)]. 10617 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(62,a,7308,a(flip),b,10616,a),flip(a)]. 10618 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4668,a,10617,a)]. 10619 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(8785(a,1),10609(a,1,1))]. 10620 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10618(a,1),10619(a,2,1))]. 10621 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(62,a,10606,a(flip),b,10620,a)]. 10622 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7501(a,1),8617(a,2,1,2))]. 10623 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5418(a,1),8703(a,1,2)),flip(a)]. 10624 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). [hyper(273,a,4293,a(flip),b,10623,a),flip(a)]. 10625 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(10542(a,1),9154(a,1,1))]. 10626 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(62,a,8035,a(flip),b,10625,a),flip(a)]. 10628 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(62,a,9036,a(flip),b,10626,a),flip(a)]. 10630 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(62,a,7462,a(flip),b,10628,a),flip(a)]. 10631 K(x,((y * K(z,x)) * u) \ (y * (u * w))) = K(x,L(w,u,y * K(z,x))). [para(18(a,2),10630(a,1,2)),flip(a)]. 10632 K(x,L(y,z,u * K(w,x))) = K(x,(u * z) \ (u * (z * y))). [hyper(62,a,9759,a(flip),b,10631,a),flip(a)]. 10634 K(x,L(y,z,u * K(w,x))) = K(x,L(y,z,u)). [para(18(a,2),10632(a,2,2))]. 10635 K(x,L(y,z,(x \ u) * x)) = K(x,L(y,z,u)). [para(260(a,1),10634(a,1,2,3))]. 10637 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(9199(a,1),5450(a,1))]. 10638 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(27(a,2),9307(a,1,1,2))]. 10639 (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). [hyper(5961,a,9680,a),flip(a)]. 10640 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). [para(10639(a,1),4286(a,1,2))]. 10642 L(x,K(y,z),z \ y) != u | L(x,K(y,z),y / z) = u. [para(10640(a,1),8323(a,1))]. 10643 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [hyper(5450,a,10311,a),flip(a)]. 10644 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(8502(a,1),10638(a,1,2))]. 10645 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(3223(a,1),10644(a,1,2))]. 10647 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10645(a,1),5732(a,1,1,2))]. 10648 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5571(a,1),10647(a,1,1))]. 10649 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(62,a,7042,a(flip),b,10648,a),flip(a)]. 10650 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10649(a,1),9123(a,2,1))]. 10651 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(9539(a,1),8860(a,1,1))]. 10652 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(62,a,8858,a(flip),b,10651,a),flip(a)]. 10653 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(8580(a,1),10652(a,1,1))]. 10654 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(5135(a,2),10653(a,1,2,1))]. 10655 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(7489(a,2),10654(a,2,1,2)),flip(a)]. 10656 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(273,a,5817,a(flip),b,10655,a),flip(a)]. 10657 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(7632(a,1),10656(a,2,2))]. 10658 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(7471(a,1),10657(a,1,1,2,2))]. 10659 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(10144(a,1),10658(a,1,1))]. 10660 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(6441,a,10659,a),flip(a)]. 10661 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(62,a,7577,a,b,10660,a)]. 10662 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(212,a,6411,a,b,10661,a)]. 10663 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(8545(a,1),10662(a,1,1,2)),flip(a)]. 10664 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(62,a,10008,a(flip),b,10663,a),flip(a)]. 10665 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(273,a,8811,a(flip),b,10664,a),flip(a)]. 10666 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(10665(a,1),5209(a,1,1))]. 10668 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(8503(a,1),10666(a,1,1)),flip(a)]. 10669 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5719(a,1),10668(a,1,1,2))]. 10670 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(62,a,4861,a(flip),b,10669,a)]. 10671 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(62,a,10668,a(flip),b,10670,a),flip(a)]. 10672 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(273,a,5735,a(flip),b,8874,a),flip(a)]. 10673 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(109(a,1),10672(a,1,1,1))]. 10674 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(62,a,8582,a(flip),b,9345,a)]. 10675 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(62,a,9014,a(flip),b,10674,a)]. 10676 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(62,a,9346,a(flip),b,10675,a),flip(a)]. 10677 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(273,a,8591,a(flip),b,10676,a),flip(a)]. 10678 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5892(a,1),10677(a,1,1))]. 10679 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3210(a,1),10678(a,1,1))]. 10680 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(273,a,9305,a(flip),b,10679,a),flip(a)]. 10681 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(9459,a,10680,a)]. 10682 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(62,a,7647,a,b,10681,a)]. 10683 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(161(a,1),10681(a,1,2)),flip(a)]. 10684 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(8779(a,1),10683(a,1,2))]. 10685 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(62,a,6730,a(flip),b,10684,a)]. 10686 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(10684(a,1),7475(a,2,1))]. 10688 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(10686(a,2),7653(a,1))]. 10689 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(273,a,6724,a,b,10685,a),flip(a)]. 10690 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(10(a,1),10689(a,2,2))]. 10691 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(4209(a,1),10690(a,1,2))]. 10692 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(9329(a,1),9358(a,2,1))]. 10693 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(8961(a,2),10692(a,2,2))]. 10694 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(62,a,6605,a,b,10693,a)]. 10695 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(5874,a,10694,a)]. 10697 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(9721(a,1),9998(a,1,1,1,2)),flip(a)]. 10702 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(62,a,7420,a(flip),b,10564,a),flip(a)]. 10704 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(62,a,9172,a(flip),b,10702,a),flip(a)]. 10706 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(18(a,2),10704(a,2,2))]. 10707 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5387(a,1),10706(a,1,2,2)),flip(a)]. 10708 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10707(a,1),5595(a,1,2,2)),flip(a)]. 10709 K(x,L(y,z * K(x,u),w)) = K(x,L(y,z,w)). [para(8548(a,1),10707(a,1,2,2))]. 10710 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(273,a,5595,a(flip),b,10708,a),flip(a)]. 10711 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5127(a,1),10710(a,1,1,2)),flip(a)]. 10713 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(8509(a,1),8217(a,1,2))]. 10714 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(273,a,8681,a(flip),b,10713,a),flip(a)]. 10716 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(4762,a,8260,a),flip(a)]. 10718 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(7135(a,1),10716(a,1,2)),flip(a)]. 10719 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3159(a,1),8780(a,1,2,1)),flip(a)]. 10720 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3159(a,1),10719(a,1,2)),flip(a)]. 10722 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10720(a,1),588(a,1,1,1)),flip(a)]. 10724 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(273,a,9731,a(flip),b,8975,a),flip(a)]. 10726 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9326(a,1),9080(a,1,2))]. 10727 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8443(a,1),10726(a,1,2))]. 10729 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8915(a,1),10727(a,2,1))]. 10730 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(62,a,10611,a(flip),b,10729,a)]. 10731 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10590,a,10730,a)]. 10732 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(8916(a,1),9559(a,1,1)),flip(a)]. 10733 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(5372(a,1),10732(a,2,2))]. 10734 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(9(a,1),9572(a,1,2,1))]. 10736 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,2),10734(a,1,2))]. 10737 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(62,a,10050,a(flip),b,10736,a)]. 10738 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(273,a,9877,a(flip),b,10737,a),flip(a)]. 10741 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(10(a,1),10738(a,2,2,2))]. 10742 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(12(a,1),10738(a,1,1,2)),flip(a)]. 10743 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(62,a,7259,a(flip),b,10741,a),flip(a)]. 10744 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(4288(a,1),10741(a,1,1,2))]. 10745 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(10741(a,1),7859(a,1,1,2))]. 10746 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10741(a,1),7876(a,1,2,2))]. 10747 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(62,a,6738,a(flip),b,10743,a)]. 10749 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(86(a,1),10745(a,1,1)),flip(a)]. 10751 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(8229(a,1),10745(a,1,1)),flip(a)]. 10753 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(62,a,6740,a(flip),b,10746,a),flip(a)]. 10754 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10741(a,1),10746(a,1,2,2))]. 10755 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(62,a,10189,a(flip),b,10742,a),flip(a)]. 10756 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [para(10742(a,1),7614(a,1,2,2,1))]. 10757 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10742(a,1),7875(a,1,2,1))]. 10758 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(5132(a,1),10757(a,1,2))]. 10759 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(9527,a,10755,a)]. 10761 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(5302(a,1),10756(a,1,2,2))]. 10762 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(25(a,2),10751(a,1,1,2))]. 10764 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(105(a,1),10759(a,1,1)),flip(a)]. 10765 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(10759(a,1),9294(a,1,1))]. 10766 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(10762(a,1),6887(a,1,1,1,2))]. 10767 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(25(a,2),10753(a,1,2,1,1))]. 10768 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5391,a,10765,a),flip(a)]. 10769 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(10768(a,1),9342(a,2,2))]. 10770 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(6570,a,10767,a)]. 10771 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(990(a,1),10770(a,1,2,2,1)),flip(a)]. 10772 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(991(a,1),10770(a,1,2,2,1))]. 10773 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(273,a,9029,a,b,10769,a)]. 10774 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(62,a,9060,a(flip),b,10773,a),flip(a)]. 10775 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(62,a,9099,a,b,10774,a)]. 10776 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(109(a,1),10775(a,1,2,1))]. 10777 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(62,a,10121,a(flip),b,10761,a),flip(a)]. 10779 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(62,a,7703,a(flip),b,10777,a)]. 10780 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(12(a,1),10777(a,1,2,2,2)),flip(a)]. 10781 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(62,a,7459,a(flip),b,10779,a),flip(a)]. 10782 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(273,a,6728,a,b,10781,a),flip(a)]. 10783 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(10782(a,1),9793(a,1,1)),flip(a)]. 10784 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(9405,a,10764,a)]. 10785 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(273,a,7556,a(flip),b,10784,a)]. 10786 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(77(a,1),10785(a,1,1,1)),flip(a)]. 10787 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(11(a,1),10786(a,1,1,2)),flip(a)]. 10788 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(74(a,1),10786(a,1,1,2)),flip(a)]. 10790 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(62,a,7041,a(flip),b,10766,a),flip(a)]. 10792 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(10790(a,1),10592(a,1,2))]. 10793 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7444,a,10744,a)]. 10795 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(62,a,10711,a(flip),b,10793,a),flip(a)]. 10797 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(273,a,9233,a(flip),b,9867,a),flip(a)]. 10798 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). [hyper(62,a,8017,a(flip),b,10086,a),flip(a)]. 10799 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(273,a,9077,a(flip),b,10087,a),flip(a)]. 10800 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(273,a,10682,a(flip),b,10799,a),flip(a)]. 10801 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(198(a,1),10800(a,2,2,2))]. 10802 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7655,a,10150,a),flip(a)]. 10803 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(115,a,108,a(flip),b,10219,a)]. 10804 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(10256,a,10803,a)]. 10805 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(62,a,10295,a(flip),b,10804,a)]. 10806 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(12(a,1),10805(a,1,2,1)),flip(a)]. 10807 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(273,a,10109,a(flip),b,10806,a),flip(a)]. 10808 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(198(a,1),10807(a,1,2)),flip(a)]. 10809 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10807(a,1),10219(a,1,2))]. 10810 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(9110,a,10809,a),flip(a)]. 10811 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(116,a,10810,a(flip),b,108,a(flip))]. 10813 ((x / y) * (z * y)) / (y * z) = x / T(y,z). [hyper(273,a,8230,a(flip),b,10811,a),flip(a)]. 10814 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(62,a,145,a(flip),b,10811,a),flip(a)]. 10815 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(8440(a,1),10811(a,2,2))]. 10816 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(10(a,1),10814(a,1,1,2))]. 10817 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(12(a,1),10814(a,1,1,2))]. 10819 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10814(a,1),7908(a,1,2))]. 10820 (x \ y) * K(z,z \ T(x,x \ y)) = y / ((z \ T(x,x \ y)) * z). [para(236(a,1),10816(a,1,1))]. 10821 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(10816(a,1),7889(a,1,2,2))]. 10822 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(62,a,9613,a,b,10817,a)]. 10824 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [hyper(171,a,10822,a),flip(a)]. 10825 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(10824(a,2),2973(a,2,1))]. 10826 (x \ y) * K(z,z \ T(x,x \ y)) = y / T((z \ x) * z,x \ y). [para(4920(a,2),10820(a,2,2))]. 10827 (x \ y) * K(z,z \ T(x,x \ y)) = ((z \ x) * z) \ y. [hyper(273,a,9676,a(flip),b,10826,a),flip(a)]. 10828 K(x,L(y,((x \ z) * x) \ u,w)) = K(x,L(y,z \ u,w)). [para(10827(a,1),10709(a,1,2,2))]. 10829 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(273,a,3640,a(flip),b,10220,a),flip(a)]. 10830 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(600(a,1),10829(a,1,2))]. 10831 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6660,a,10830,a),flip(a)]. 10832 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7579(a,1),10239(a,1,1))]. 10833 (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(7853(a,1),10494(a,1,1,2))]. 10834 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). [hyper(116,a,10833,a(flip),b,8180,a)]. 10836 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). [para(8226(a,1),10834(a,2,2,1))]. 10837 (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). [hyper(273,a,9751,a(flip),b,10836,a),flip(a)]. 10839 (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). [para(10474(a,1),10837(a,2,2))]. 10840 (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). [hyper(3838,a,10839,a)]. 10841 T(x,a(y,z,K(x,u))) = x. [hyper(239,a,10840,a)]. 10842 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(10841(a,1),7476(a,1,2,2)),flip(a)]. 10843 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(273,a,10499,a,b,10842,a)]. 10844 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10843(a,2),42(a,1))]. 10845 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10645(a,1),10650(a,1,2,1))]. 10846 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5518(a,1),10845(a,1,2))]. 10848 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(9(a,1),10797(a,2,2,1,1))]. 10850 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(273,a,9537,a(flip),b,9692,a),flip(a)]. 10851 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8836(a,1),10850(a,1,2,1,2,1))]. 10852 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(62,a,10332,a(flip),b,10851,a),flip(a)]. 10854 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,9316,a(flip),b,10852,a)]. 10856 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(62,a,9760,a(flip),b,10854,a),flip(a)]. 10858 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(10854(a,1),7141(a,1))]. 10859 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [para(7(a,1),10856(a,2,2,1))]. 10860 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(66(a,1),10856(a,1,2,2))]. 10861 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(62,a,9931,a(flip),b,10859,a)]. 10862 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(10861(a,1),10222(a,1,1))]. 10863 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(273,a,8031,a(flip),b,10136,a),flip(a)]. 10865 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(273,a,6569,a(flip),b,10863,a),flip(a)]. 10866 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6558(a,1),10865(a,1,2,2))]. 10869 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9977,a,10862,a),flip(a)]. 10870 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(6538,a,10869,a)]. 10871 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(10330,a,10870,a)]. 10872 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(405(a,1),10871(a,1,2,1,2))]. 10873 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(273,a,10298,a(flip),b,10872,a),flip(a)]. 10874 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [hyper(62,a,10312,a,b,10873,a)]. 10875 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(22(a,2),10873(a,1,2,2))]. 10876 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [para(199(a,1),10874(a,1,2,1,2)),flip(a)]. 10878 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(108(a,1),10876(a,1,2,1)),flip(a)]. 10879 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7935,a,10875,a)]. 10880 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,10872,a(flip),b,10879,a)]. 10881 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(10331,a,10880,a)]. 10882 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(62,a,9976,a,b,10880,a)]. 10883 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(8(a,1),10880(a,2,2,1))]. 10884 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5174(a,1),10880(a,1,2,1)),flip(a)]. 10885 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10880(a,1),9197(a,1,2,2))]. 10886 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10880(a,1),10331(a,1))]. 10887 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10880(a,1),9198(a,1,1))]. 10888 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(62,a,10878,a,b,10883,a)]. 10889 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(62,a,10327,a(flip),b,10888,a),flip(a)]. 10892 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(9416,a,10889,a)]. 10893 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(62,a,10167,a(flip),b,10892,a),flip(a)]. 10895 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(62,a,8572,a(flip),b,10893,a),flip(a)]. 10896 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5631(a,2),10884(a,1,2,1,1))]. 10897 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5596,a,10885,a),flip(a)]. 10898 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(9748,a,10897,a)]. 10899 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10897(a,1),9748(a,1))]. 10900 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(8(a,1),10898(a,2,1,1))]. 10901 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(62,a,8362,a,b,10900,a)]. 10902 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(62,a,8359,a,b,10900,a)]. 10903 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10901(a,1),10471(a,1,2))]. 10904 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10903(a,1),5421(a,1,2))]. 10905 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(10490,a,10904,a)]. 10906 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(10(a,1),10905(a,2,2,2,1))]. 10907 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6724(a,2),10905(a,1,1))]. 10908 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(436(a,1),10907(a,2,2))]. 10909 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(273,a,3111,a(flip),b,10895,a),flip(a)]. 10910 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(10163,a,10909,a)]. 10911 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(273,a,7821,a,b,10910,a)]. 10912 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(62,a,5725,a,b,10896,a)]. 10913 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(62,a,10882,a(flip),b,10887,a),flip(a)]. 10914 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(62,a,10567,a(flip),b,10913,a)]. 10915 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(9878(a,1),10911(a,1,1))]. 10916 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(10(a,1),10915(a,2,2,1,2,1))]. 10917 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(273,a,5785,a,b,10916,a)]. 10919 K(x,R(1 / y,y,z) \ x) = R(K(x,x * y),y,z). [para(193(a,2),10916(a,2,2,1)),flip(a)]. 10920 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10917(a,1),5163(a,2,2))]. 10921 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(62,a,7682,a,b,10914,a),flip(a)]. 10922 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(273,a,10780,a(flip),b,10921,a),flip(a)]. 10923 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(12(a,1),10922(a,1,2,1)),flip(a)]. 10924 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(62,a,7563,a(flip),b,10923,a),flip(a)]. 10925 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(273,a,6569,a(flip),b,10924,a),flip(a)]. 10926 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5462,a,10925,a),flip(a)]. 10927 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(62,a,9975,a(flip),b,10925,a),flip(a)]. 10929 K(x,(y \ x) * (x \ (y * z))) = K(x,L(z,y,y \ x)). [hyper(62,a,10384,a(flip),b,10926,a),flip(a)]. 10930 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(62,a,10099,a,b,10927,a)]. 10932 L(K(x,x \ y),y,z) = K(x,x \ y). [para(9(a,1),10930(a,1,3))]. 10934 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(62,a,10095,a(flip),b,10932,a)]. 10935 a(x,y,K(z,z \ y)) = 1. [hyper(52,a,10932,a)]. 10936 a(x,y,K(z \ y,z)) = 1. [para(6218(a,1),10935(a,1,3))]. 10937 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(51,a,10936,a)]. 10938 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(10055,a,10937,a)]. 10941 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(62,a,10298,a(flip),b,10934,a),flip(a)]. 10942 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(10934(a,2),8496(a,1,2))]. 10943 K(x,K(y,z \ (y \ u))) != w | K(x,K(y,z \ u)) = w. [para(10934(a,2),9430(a,1,2))]. 10944 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(10(a,1),10938(a,1,1,2,2))]. 10945 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10938(a,1),10064(a,1,2))]. 10946 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(9835,a,10944,a)]. 10947 K(x \ (((x \ y) * z) \ y),x) = K(z \ 1,x). [hyper(7127,a,10944,a),flip(a)]. 10948 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(62,a,9899,a(flip),b,10944,a),flip(a)]. 10950 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1126(a,1),10946(a,1,1,1)),flip(a)]. 10951 K(L(x * (y \ z),x \ 1,y) \ u,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u),x). [para(1016(a,1),10948(a,1,1,2,1)),flip(a)]. 10952 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(7206(a,1),10948(a,1,1,2,1))]. 10953 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [hyper(273,a,8751,a(flip),b,10942,a),flip(a)]. 10954 K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). [para(10953(a,1),8214(a,1,1))]. 10955 R(x,y,K(z \ y,z)) = x. [hyper(750,a,10945,a)]. 10956 (x * K(y \ z,y)) / ((y \ z) * y) = x / z. [hyper(549,a,10945,a)]. 10958 R(x,y * z,K(z,y)) = x. [para(9(a,1),10955(a,1,3,1))]. 10959 R(x,y,T(z,y)) = R(x,y,z). [hyper(62,a,8114,a(flip),b,10958,a)]. 10960 (x * (y * z)) * K(z,y) = x * (z * y). [para(10958(a,1),481(a,1,1)),flip(a)]. 10962 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(62,a,367,a(flip),b,10959,a)]. 10963 R(x,y,z / y) = R(x,y,y \ z). [para(110(a,1),10959(a,1,3)),flip(a)]. 10967 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(10963(a,1),362(a,1,1))]. 10968 T(x,y) / (x * y) = x / (y * x). [hyper(273,a,193,a(flip),b,10962,a),flip(a)]. 10969 R(1 / x,x,y) \ T(y,x) = y * x. [hyper(171,a,10962,a)]. 10970 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(10962(a,1),1311(a,1,1)),flip(a)]. 10971 (x / (y * x)) \ T(x,y) = x * y. [hyper(171,a,10968,a)]. 10972 T(x,x \ y) / y = x / ((x \ y) * x). [para(10(a,1),10968(a,1,2))]. 10974 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(5174(a,1),10971(a,1,1,2))]. 10975 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(10969(a,1),9350(a,1,1,1,1))]. 10976 K(x,L(y,x,z)) = K(x,y). [hyper(9106,a,10960,a)]. 10977 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(7410(a,1),10960(a,2,2))]. 10978 (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). [para(8443(a,2),10960(a,1,2))]. 10979 K(L(x,y,z),y) = K(x,y). [hyper(9531,a,10976,a)]. 10982 L(K(x,y),z,y * x) = K(x,y). [hyper(62,a,10808,a(flip),b,10976,a)]. 10983 T(x,L(y,x,z)) = x * K(x,y). [para(10976(a,1),5163(a,2,2))]. 10986 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(10976(a,1),9057(a,1,2)),flip(a)]. 10991 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(464(a,1),10979(a,1,1))]. 10992 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(10979(a,1),7221(a,1,2,2))]. 10994 K(x,R(y,x,z)) = K(x,y). [hyper(62,a,10427,a(flip),b,10982,a)]. 10995 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10982(a,1),10418(a,1,1))]. 10997 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(62,a,6190,a(flip),b,10994,a)]. 10998 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(31(a,1),10994(a,1,2))]. 10999 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(488(a,1),10994(a,1,2)),flip(a)]. 11003 T(x,L(y,x,z)) = T(x,y). [hyper(273,a,5163,a,b,10983,a),flip(a)]. 11007 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(62,a,10001,a(flip),b,11003,a)]. 11009 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(11003(a,1),108(a,1,2))]. 11011 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(464(a,1),11003(a,1,2))]. 11012 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(11003(a,1),10320(a,1,1,2)),flip(a)]. 11013 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(62,a,10788,a(flip),b,10997,a)]. 11014 K(R(x,y,z),y) = K(y \ (y * x),y). [para(9(a,1),11013(a,1,1,1))]. 11016 K(R(x,y,z),y) = K(x,y). [hyper(273,a,621,a(flip),b,11014,a),flip(a)]. 11017 K(R(x,y,z),y) != u | K(x,y) = u. [para(11014(a,2),9395(a,1))]. 11018 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(273,a,10994,a,b,11016,a),flip(a)]. 11022 K(R(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(10377(a,1),11017(a,1))]. 11024 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11018(a,2),5163(a,2,2))]. 11025 K(x,R(y,x,z)) * R(x,y,u) = T(R(x,y,u),y). [para(11018(a,1),5173(a,2,1)),flip(a)]. 11026 K(x,R(y,x,z)) != u | K(x,y) = u. [para(11018(a,1),11017(a,1))]. 11027 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10427(a,2),11026(a,1))]. 11028 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4172(a,1),10972(a,1,1))]. 11030 T(x,y \ (x \ z)) = T(x,x \ (y \ z)). [para(10(a,1),11007(a,1,2,2,2))]. 11032 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(11009(a,1),1131(a,1,2,2))]. 11033 T(x,R(y,x,z)) = T(x,y). [hyper(273,a,7437,a(flip),b,11024,a),flip(a)]. 11037 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(498(a,1),11033(a,1,2))]. 11038 K(x,L(y,x,z)) != u | K(x,y) = u. [para(10807(a,1),11027(a,1))]. 11039 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9881(a,1),11038(a,1))]. 11040 T(x,(x * y) \ z) = T(x,x \ (y \ z)). [hyper(62,a,9861,a,b,11030,a)]. 11041 T(x,x \ (((x \ y) * z) \ y)) = T(x,z \ 1). [hyper(62,a,6677,a(flip),b,11030,a),flip(a)]. 11043 T(x,x \ ((x \ y) \ z)) = T(x,y \ z). [para(10(a,1),11040(a,1,2,1)),flip(a)]. 11044 T(x,L(x * (y \ z),x \ 1,y) \ u) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u)). [para(1016(a,1),11043(a,1,2,2,1)),flip(a)]. 11045 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(62,a,6192,a,b,10998,a)]. 11046 (x / (x / y)) / ((y \ x) * y) = y / x. [para(5063(a,2),10956(a,1,1))]. 11047 (x / y) \ (y / (y / x)) = (x \ y) * x. [hyper(171,a,11046,a)]. 11048 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(11047(a,1),10246(a,1,1,1))]. 11049 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(10999(a,1),9742(a,1,2,2))]. 11050 ((x \ y) / y) * (x * (y / x)) = y / x. [para(10967(a,1),711(a,1,2))]. 11051 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(11050(a,1),9270(a,1,2,2,1))]. 11052 L(x,T(y,x),z) = L(x,y,z). [hyper(273,a,18,a,b,11012,a)]. 11054 L(x,y / x,z) = L(x,x \ y,z). [para(110(a,1),11052(a,1,2)),flip(a)]. 11057 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(62,a,521,a(flip),b,11054,a),flip(a)]. 11058 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(11054(a,1),7166(a,1,1))]. 11059 K(x,R(y,x,z)) * R(x,y,u) = R(T(x,y),y,u). [hyper(273,a,27,a,b,11025,a),flip(a)]. 11060 T(x,R(y,x,z)) \ R(T(x,y),y,u) = x \ R(x,y,u). [hyper(115,a,11059,a(flip),b,5138,a)]. 11061 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10941(a,1),7107(a,1,1)),flip(a)]. 11062 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(7206(a,1),10941(a,1,2,2,1,2))]. 11063 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(273,a,10441,a(flip),b,10995,a),flip(a)]. 11065 K(x,K(y,z)) * ((K(y,z) * x) * (K(z,y) * u)) = x * L(u,K(z,y),x * K(y,z)). [hyper(273,a,8241,a,b,11063,a),flip(a)]. 11066 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(10(a,1),11063(a,1,2,1))]. 11067 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1362(a,2),11063(a,1,2))]. 11069 K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) = (R(x,z,R(x,u,w)) * y) * v5. [para(7719(a,1),11063(a,1,1))]. 11070 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(287,a,11066,a),flip(a)]. 11073 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(62,a,10464,a(flip),b,11070,a)]. 11076 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(33,a,5387,a(flip),b,11073,a),flip(a)]. 11077 L(x,y,K(z,z \ y)) = x. [hyper(5557,a,11076,a)]. 11079 L(x,y * z,K(z,y)) = x. [para(5355(a,1),11077(a,1,3))]. 11080 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(62,a,4725,a(flip),b,11079,a)]. 11081 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(62,a,6254,a,b,11080,a),flip(a)]. 11083 L(x,y,T(z,y)) = L(x,y,z). [para(5175(a,1),11080(a,1,3)),flip(a)]. 11084 L(x,y,z / y) = L(x,y,y \ z). [para(5176(a,1),11080(a,1,3))]. 11085 L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),K(x,w) * z,u). [hyper(62,a,9304,a(flip),b,11083,a)]. 11086 L(x,y / z,z) = L(x,z \ y,z). [hyper(62,a,4654,a(flip),b,11083,a)]. 11088 L(x,T(y,y \ z) \ u,T(y,y \ z)) = L(x,u / T(y,y \ z),(y \ z) \ z). [hyper(62,a,1404,a(flip),b,11086,a),flip(a)]. 11092 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(176,a,11081,a(flip))]. 11093 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [hyper(171,a,11028,a(flip))]. 11095 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(6674(a,1),11028(a,1,1))]. 11096 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(3127(a,1),11093(a,1,1,1))]. 11097 K(x,(y \ x) * (x \ (y * z))) = K(x,L(z,y,x / y)). [para(11084(a,2),10929(a,2,2))]. 11098 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(345(a,1),11060(a,1,1,2))]. 11099 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(62,a,10733,a(flip),b,11098,a)]. 11100 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5315(a,1),11098(a,2,2))]. 11101 K(x,L(y,z,x / z)) = K(x,L(y,z,z \ x)). [hyper(62,a,10929,a(flip),b,11097,a),flip(a)]. 11102 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(4603(a,1),10974(a,1,2))]. 11103 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(273,a,5199,a(flip),b,11102,a),flip(a)]. 11105 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(62,a,9742,a(flip),b,11049,a),flip(a)]. 11106 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,9059,a(flip),b,11105,a),flip(a)]. 11107 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(62,a,6656,a(flip),b,11106,a),flip(a)]. 11108 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10994(a,1),11045(a,1,1))]. 11110 L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),z,u). [hyper(273,a,9304,a(flip),b,11085,a),flip(a)]. 11112 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(62,a,9161,a(flip),b,11095,a)]. 11113 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(5565,a,10992,a)]. 11115 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(62,a,11113,a(flip),b,11099,a),flip(a)]. 11116 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(273,a,10247,a(flip),b,11048,a),flip(a)]. 11117 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(62,a,5972,a,b,11116,a)]. 11118 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(11017,a,11117,a),flip(a)]. 11121 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(62,a,10521,a,b,11118,a)]. 11122 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(62,a,10182,a,b,11118,a)]. 11123 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [hyper(62,a,10245,a(flip),b,11118,a),flip(a)]. 11124 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11122(a,1),7582(a,1,1))]. 11125 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(11121(a,1),5833(a,1,2,1,2)),flip(a)]. 11126 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(11123(a,1),9004(a,1,2)),flip(a)]. 11127 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7566,a,11124,a)]. 11128 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(62,a,9536,a(flip),b,11127,a)]. 11129 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11128(a,1),8226(a,1,1,2)),flip(a)]. 11130 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(273,a,8226,a(flip),b,11129,a),flip(a)]. 11131 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7655,a,11130,a)]. 11132 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(74(a,1),11131(a,1,2,1,2)),flip(a)]. 11133 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(273,a,9274,a(flip),b,11051,a),flip(a)]. 11134 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(62,a,9275,a,b,11133,a)]. 11135 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(77(a,1),11134(a,2,2,2,1))]. 11136 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(11026,a,11135,a),flip(a)]. 11137 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10819,a,11136,a)]. 11139 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(62,a,10170,a,b,11136,a)]. 11140 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11137(a,1),10141(a,1,2))]. 11141 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(9(a,1),11139(a,1,2,1)),flip(a)]. 11142 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5167,a,11140,a),flip(a)]. 11143 K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). [hyper(273,a,10954,a(flip),b,11126,a),flip(a)]. 11147 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(11061(a,2),11039(a,1))]. 11148 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(62,a,11067,a(flip),b,11069,a),flip(a)]. 11149 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(62,a,10643,a(flip),b,10991,a)]. 11150 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(62,a,25,a,b,11011,a)]. 11151 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(62,a,27,a,b,11037,a)]. 11152 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(10310(a,1),11150(a,1,1))]. 11153 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(273,a,4230,a(flip),b,11151,a),flip(a)]. 11154 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(11007(a,1),11152(a,1,1)),flip(a)]. 11155 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(11154(a,1),5501(a,1,2,1))]. 11157 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(273,a,27,a,b,11153,a),flip(a)]. 11158 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11142(a,1),11157(a,1,1))]. 11159 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(11(a,1),11158(a,1,1,2,2)),flip(a)]. 11160 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(50,a,11159,a)]. 11161 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(11159(a,1),312(a,1,2))]. 11162 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11159(a,1),5618(a,1,2,1))]. 11163 T(x,x \ R(x,y,z)) = x. [hyper(184,a,11160,a),flip(a)]. 11165 (x \ R(x,y,z)) * x = R(x,y,z). [para(11163(a,1),197(a,1,2))]. 11166 R(x,y,z) / x = x \ R(x,y,z). [para(11163(a,1),236(a,1,2))]. 11167 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(11163(a,1),5120(a,1,1,1)),flip(a)]. 11168 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(11163(a,1),5165(a,1,2,1)),flip(a)]. 11169 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(11166(a,1),497(a,1,1))]. 11170 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(11166(a,1),8402(a,1,1))]. 11173 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(592(a,1),11161(a,1,2,1))]. 11176 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [hyper(171,a,11173,a)]. 11177 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(74(a,1),11176(a,1,1,1,1)),flip(a)]. 11178 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11176(a,1),10396(a,1,2,1)),flip(a)]. 11180 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5834(a,1),11177(a,2,1))]. 11182 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(11167(a,2),289(a,1))]. 11184 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(273,a,66,a(flip),b,11168,a),flip(a)]. 11186 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(11184(a,1),8823(a,1,1,2))]. 11187 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5388(a,1),11169(a,1,1))]. 11188 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(11169(a,1),7821(a,2,2))]. 11189 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(11169(a,2),8625(a,1,1))]. 11190 K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(62,a,11018,a(flip),b,11189,a)]. 11191 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5441(a,1),11189(a,2,2))]. 11192 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(11189(a,1),8750(a,2,2))]. 11193 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(62,a,4536,a(flip),b,11088,a),flip(a)]. 11194 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(62,a,2799,a,b,11193,a),flip(a)]. 11195 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(62,a,5614,a(flip),b,11155,a),flip(a)]. 11196 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(62,a,5618,a(flip),b,11162,a),flip(a)]. 11197 K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). [hyper(5451,a,11196,a),flip(a)]. 11199 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11196(a,1),5081(a,1,1,2))]. 11201 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(108(a,1),11032(a,1,1,1))]. 11202 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1265,a,11201,a),flip(a)]. 11203 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(108(a,1),11202(a,1,2))]. 11204 K(x,K(y,z)) * (K(y,z) * ((x * K(z,y)) * u)) = x * L(u,K(z,y),x * K(y,z)). [para(8264(a,1),11065(a,1,2))]. 11205 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(273,a,5833,a(flip),b,11125,a),flip(a)]. 11206 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(62,a,10527,a(flip),b,11205,a)]. 11208 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(273,a,11197,a(flip),b,11206,a),flip(a)]. 11209 x \ (K(y,z) * (K(x,K(y,z)) * ((x * K(z,y)) * u))) = L(u,K(z,y),x * K(y,z)). [hyper(4595,a,11204,a)]. 11210 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5176(a,1),11170(a,2,1))]. 11211 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(273,a,6400,a(flip),b,11180,a),flip(a)]. 11212 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6398(a,1),11211(a,1,1)),flip(a)]. 11213 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(178(a,1),11186(a,1,1))]. 11215 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(8224(a,1),11213(a,1,2))]. 11216 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(7070(a,1),11215(a,1,2)),flip(a)]. 11217 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(273,a,7,a(flip),b,11216,a),flip(a)]. 11218 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5423,a,11217,a)]. 11219 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(6079(a,1),11218(a,1,2,2))]. 11220 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(9376(a,1),11218(a,1,1))]. 11221 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5822(a,1),11199(a,1,1))]. 11222 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(62,a,27,a,b,11221,a)]. 11223 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5081(a,1),11222(a,1,1)),flip(a)]. 11224 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(273,a,29,a(flip),b,11223,a),flip(a)]. 11225 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11224(a,1),2024(a,1,1,1)),flip(a)]. 11226 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7957(a,1),11219(a,1,1))]. 11227 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5111(a,2),11226(a,1,2))]. 11229 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6220(a,1),11227(a,1,1))]. 11230 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(273,a,7628,a(flip),b,11229,a),flip(a)]. 11231 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2227,a,11230,a)]. 11233 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(273,a,10947,a(flip),b,10951,a),flip(a)]. 11234 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(273,a,6485,a(flip),b,11233,a),flip(a)]. 11235 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(62,a,10205,a(flip),b,11234,a),flip(a)]. 11238 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(273,a,11041,a(flip),b,11044,a),flip(a)]. 11239 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(273,a,6674,a(flip),b,11238,a),flip(a)]. 11240 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(62,a,10208,a(flip),b,11239,a),flip(a)]. 11242 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6587(a,1),11192(a,1,2))]. 11243 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(62,a,9376,a(flip),b,11242,a)]. 11244 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7460(a,2),11220(a,1,2,2,1))]. 11245 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5388(a,1),11244(a,1,2))]. 11246 x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. [para(11245(a,1),43(a,1)),flip(a)]. 11247 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(6153(a,1),10977(a,1,1,2))]. 11248 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8791(a,1),11247(a,1,2))]. 11249 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(8440(a,1),11248(a,1,2))]. 11251 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(11249(a,1),7946(a,1,2,2))]. 11252 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(62,a,7927,a(flip),b,11251,a),flip(a)]. 11254 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(273,a,7936,a(flip),b,11252,a),flip(a)]. 11256 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(62,a,8144,a(flip),b,11254,a),flip(a)]. 11257 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(9005(a,1),11256(a,1,2,2))]. 11258 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(62,a,7948,a(flip),b,11257,a),flip(a)]. 11260 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(62,a,6036,a(flip),b,11258,a)]. 11261 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8443(a,1),8398(a,1,1,2))]. 11262 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(9336(a,1),8986(a,1,1,1,1))]. 11263 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(8428(a,1),11262(a,1,1)),flip(a)]. 11264 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(62,a,7264,a,b,11263,a),flip(a)]. 11265 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(273,a,6485,a(flip),b,11264,a),flip(a)]. 11266 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(273,a,10355,a(flip),b,11265,a),flip(a)]. 11267 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(62,a,11263,a,b,11266,a)]. 11268 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(273,a,7516,a(flip),b,11267,a),flip(a)]. 11270 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11268(a,2),11022(a,1))]. 11272 K(R(x,y,z),L(x,u,x) * (w \ 1)) != v5 | K(R(L(x,u,x),y,z),w \ L(x,u,x)) = v5. [para(10755(a,1),9580(a,1))]. 11273 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(273,a,11132,a(flip),b,10100,a),flip(a)]. 11274 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4785(a,1),11273(a,2,2))]. 11275 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(273,a,8914,a(flip),b,11274,a),flip(a)]. 11276 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(273,a,8902,a(flip),b,11275,a),flip(a)]. 11277 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(11038,a,11276,a),flip(a)]. 11279 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(273,a,4938,a,b,11277,a)]. 11280 K(x,x \ T(x * y,z)) = K(x,T(y,z)). [para(9(a,1),11277(a,1,2,1)),flip(a)]. 11282 K(x,T(y,z) / x) = K(x,T(y / x,z)). [para(4891(a,1),11280(a,1,2))]. 11283 K(x,T(y,x / y) / x) = K(x,y / x). [hyper(273,a,3640,a(flip),b,11282,a),flip(a)]. 11284 K(x,y / x) * T(y,x / y) = x * (T(y,x / y) / x). [para(11283(a,1),5300(a,1,1))]. 11286 K(x * y,1 / x) * T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) = (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)). [para(410(a,1),11284(a,1,1,2))]. 11287 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(10135(a,1),10223(a,1,1))]. 11288 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(9780,a,11287,a),flip(a)]. 11289 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2059(a,1),11288(a,1,2,1,2))]. 11290 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(62,a,10881,a(flip),b,11289,a)]. 11291 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,10381,a(flip),b,11290,a),flip(a)]. 11292 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5825(a,1),11291(a,1,2,1)),flip(a)]. 11293 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(6168(a,1),10505(a,1,2))]. 11294 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(6264(a,1),11293(a,2,3))]. 11295 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5800,a,10846,a)]. 11296 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(5134(a,1),11100(a,1,1)),flip(a)]. 11297 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(5134(a,1),11296(a,2,2,1))]. 11298 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8521(a,1),11261(a,1,1,2))]. 11299 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5626(a,1),11298(a,1,1,2,2))]. 11300 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8458(a,1),11299(a,1,1,2))]. 11301 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(8436(a,1),11300(a,1,1,2)),flip(a)]. 11302 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4623(a,1),11301(a,1,1,2)),flip(a)]. 11303 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(9047(a,1),11302(a,1,1)),flip(a)]. 11304 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(62,a,6322,a(flip),b,11303,a),flip(a)]. 11305 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [para(7501(a,1),11295(a,1,1))]. 11306 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(8224(a,1),8253(a,1,1))]. 11307 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(74(a,1),8733(a,1,2,1)),flip(a)]. 11309 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(7460(a,2),11307(a,2,2))]. 11310 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(273,a,7526,a(flip),b,11309,a),flip(a)]. 11311 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(62,a,8810,a(flip),b,11310,a),flip(a)]. 11313 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y,K(z,T(x,u))). [hyper(273,a,9331,a(flip),b,11311,a),flip(a)]. 11314 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(7414(a,1),8970(a,2,2))]. 11319 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9193(a,1),9192(a,1,2))]. 11333 K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(5706(a,1),9364(a,1,1,2))]. 11334 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(9327(a,1),11333(a,1,1))]. 11335 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(33,a,10695,a(flip),b,11334,a),flip(a)]. 11337 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(62,a,3653,a(flip),b,11335,a)]. 11341 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1580(a,2),9492(a,2,1))]. 11342 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5388(a,1),9522(a,1,1,1))]. 11343 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(7100(a,2),9677(a,2,2,2))]. 11344 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(9143,a,9757,a(flip)),flip(a)]. 11345 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(160(a,1),11344(a,2,1,2))]. 11346 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1263(a,1),11345(a,1,2)),flip(a)]. 11347 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(62,a,7139,a(flip),b,11346,a)]. 11348 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(62,a,7116,a(flip),b,11346,a),flip(a)]. 11349 L(K(x,y),y,z) = K(x,y). [para(320(a,1),11346(a,1,2))]. 11350 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(11346(a,1),9132(a,1,1,2)),flip(a)]. 11351 K(L(x,y,z),y * x) = K(x,y * x). [hyper(11039,a,11349,a)]. 11352 K(L(x,y,z),x * y) = K(x,x * y). [hyper(9530,a,11349,a)]. 11353 L(K(x,y),y,z) = K(x,y * K(x,u)). [hyper(273,a,7898,a,b,11349,a),flip(a)]. 11354 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(273,a,6574,a,b,11349,a),flip(a)]. 11356 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(62,a,7116,a(flip),b,11349,a),flip(a)]. 11357 a(x,y,K(z,y)) = 1. [hyper(52,a,11349,a)]. 11358 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(11349(a,1),30(a,1,1)),flip(a)]. 11359 (x * y) * K(z,y) = x * (y * K(z,y)). [para(11349(a,1),94(a,1,2))]. 11360 (x / y) * (y * K(z,y)) = x * K(z,y). [para(11349(a,1),438(a,1,2)),flip(a)]. 11361 a(x,T(y,z),K(u,y)) = 1. [para(8542(a,1),11357(a,1,3))]. 11362 L(K(x,y),T(y,z),u) = K(x,y). [hyper(51,a,11361,a)]. 11363 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(62,a,9126,a,b,11362,a)]. 11364 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(62,a,5649,a,b,11362,a)]. 11365 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(115,a,11362,a(flip),b,2711,a)]. 11366 K(L(x,y,z),y * x) = K(x,x * y). [hyper(273,a,6724,a(flip),b,11351,a),flip(a)]. 11368 L(K(x,y),y,z) != u | K(x,y) = u. [para(11353(a,2),7908(a,1))]. 11369 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(7107(a,1),11368(a,1))]. 11370 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7116(a,1),11368(a,1))]. 11371 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(62,a,10908,a,b,11366,a)]. 11372 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(62,a,11203,a(flip),b,11366,a)]. 11374 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(11372(a,1),7107(a,1,1))]. 11375 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(11356(a,1),8864(a,1,1,1,2))]. 11376 R(x,y,K(z,y)) = x. [hyper(478,a,11359,a)]. 11380 R(x,y,K(z,T(y,u))) = x. [para(7501(a,1),11376(a,1,3))]. 11381 R(x,T(y,z),K(u,y)) = x. [para(8542(a,1),11376(a,1,3))]. 11382 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(11380(a,1),104(a,1,1)),flip(a)]. 11383 (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). [hyper(62,a,8242,a(flip),b,11381,a),flip(a)]. 11385 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(11360(a,1),7192(a,1,1))]. 11386 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(697,a,11385,a)]. 11387 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(131,a,11385,a)]. 11389 L(x,K(y,x),z) = x. [para(3203(a,1),11386(a,1,1))]. 11390 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(11389(a,1),29(a,1,1)),flip(a)]. 11391 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(11389(a,1),30(a,1,1)),flip(a)]. 11392 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(11389(a,1),447(a,1,2,1))]. 11395 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(11390(a,1),3255(a,1,2,2)),flip(a)]. 11396 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(11391(a,1),446(a,1,2,2)),flip(a)]. 11397 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(62,a,9518,a(flip),b,11387,a),flip(a)]. 11399 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6425(a,1),11387(a,1,1)),flip(a)]. 11400 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(11387(a,1),6519(a,1,1))]. 11401 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(108(a,1),11354(a,2,2,1,1))]. 11403 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(273,a,7121,a(flip),b,11358,a),flip(a)]. 11404 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(11365(a,1),2946(a,2,2))]. 11406 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(11399(a,1),5566(a,1,1))]. 11408 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7121(a,1),11403(a,1,1))]. 11409 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(62,a,7116,a(flip),b,11408,a),flip(a)]. 11410 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(7175,a,11382,a),flip(a)]. 11411 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(450,a,11382,a)]. 11412 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(62,a,9684,a(flip),b,11411,a)]. 11413 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(62,a,7114,a(flip),b,11411,a)]. 11415 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(62,a,9892,a,b,11412,a)]. 11416 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(62,a,6220,a,b,11412,a)]. 11418 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(11412(a,1),8862(a,1))]. 11420 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [hyper(62,a,9547,a(flip),b,11383,a),flip(a)]. 11421 R(x,K(y,z),T(z,u)) = x. [hyper(478,a,11392,a)]. 11422 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(62,a,8257,a(flip),b,11421,a)]. 11424 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(273,a,9499,a,b,11420,a)]. 11425 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3326(a,1),11422(a,1,2)),flip(a)]. 11427 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(62,a,6382,a,b,11401,a)]. 11429 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(62,a,6917,a(flip),b,11427,a)]. 11430 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(273,a,11392,a(flip),b,11397,a),flip(a)]. 11431 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(5642(a,1),11424(a,2,2))]. 11432 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(11425(a,1),3857(a,1,1)),flip(a)]. 11433 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3210(a,2),11430(a,2,2))]. 11434 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(11039,a,11374,a),flip(a)]. 11435 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(11434(a,1),11371(a,1,1))]. 11436 L(K(x,x * y),y,z) = K(x,x * y). [para(11352(a,1),11435(a,1,1))]. 11438 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(62,a,10906,a(flip),b,11436,a)]. 11439 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(11436(a,2),5370(a,1,2))]. 11442 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10886,a,11438,a)]. 11443 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(7160,a,11438,a)]. 11444 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(7143,a,11438,a),flip(a)]. 11446 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(62,a,10883,a,b,11438,a)]. 11447 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(62,a,9195,a(flip),b,11438,a)]. 11448 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(62,a,9194,a(flip),b,11438,a),flip(a)]. 11449 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1129(a,1),11438(a,1,2))]. 11450 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(11438(a,1),7107(a,1,1))]. 11452 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [para(11438(a,2),8436(a,1,2))]. 11453 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6867(a,2),11443(a,1,2,1))]. 11454 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6282,a,11439,a)]. 11455 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(9141(a,2),11439(a,1,2))]. 11456 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(62,a,10902,a(flip),b,11454,a)]. 11457 L(K(x * y,y),x,z) = K(y * x,y). [para(5626(a,2),11454(a,1,1))]. 11458 L(K(x * y,y),x,z) = K(x * y,y). [hyper(273,a,5626,a,b,11457,a),flip(a)]. 11459 (1 / x) \ K(x * y,y) = x * K(x * y,y). [hyper(115,a,11458,a(flip),b,2711,a)]. 11460 L(K(x * y,y),x,z) != u | K(y * x,y) = u. [para(11458(a,2),5627(a,1))]. 11461 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(11370,a,11456,a)]. 11462 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10899,a,11456,a)]. 11463 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(9967,a,11456,a)]. 11464 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(9966,a,11456,a),flip(a)]. 11466 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(62,a,9979,a,b,11456,a)]. 11467 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(62,a,7963,a(flip),b,11456,a),flip(a)]. 11468 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11456(a,1),5829(a,1,1,1,2))]. 11470 K(x * ((y * z) \ y),x) = K(z \ x,x). [para(9(a,1),11461(a,1,1,1)),flip(a)]. 11471 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(18(a,2),11461(a,1,1,1)),flip(a)]. 11473 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(192(a,2),11470(a,1,1,2))]. 11476 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(11446(a,1),5163(a,2,2))]. 11477 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1061(a,1),11452(a,1,2,2))]. 11478 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(11459(a,2),206(a,1,2,2))]. 11479 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(5626(a,1),11459(a,2,2))]. 11480 L(K(x * y,x),y,z) != u | K(x * y,x) = u. [para(5626(a,1),11460(a,1,1))]. 11481 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11462(a,1),5830(a,1,1,1,2))]. 11483 T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. [para(11476(a,2),5167(a,1))]. 11484 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(62,a,10192,a,b,11453,a)]. 11485 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(273,a,8535,a,b,11455,a)]. 11487 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(482,a,11406,a),flip(a)]. 11488 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8463(a,1),11487(a,1,3)),flip(a)]. 11489 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(273,a,10959,a(flip),b,11488,a),flip(a)]. 11491 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(9093(a,1),11489(a,1,2))]. 11492 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(6696,a,11429,a),flip(a)]. 11493 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(62,a,10290,a,b,11429,a)]. 11494 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(6570,a,11492,a),flip(a)]. 11495 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(22(a,2),11494(a,2,2))]. 11496 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(12(a,1),11495(a,1,1,1)),flip(a)]. 11497 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(273,a,7964,a,b,11496,a),flip(a)]. 11498 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(74(a,1),11497(a,1,1,1)),flip(a)]. 11499 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(273,a,9543,a(flip),b,11498,a),flip(a)]. 11500 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(62,a,9978,a(flip),b,11499,a),flip(a)]. 11501 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(11418,a,11500,a),flip(a)]. 11502 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(115,a,11501,a(flip),b,5110,a(flip))]. 11503 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(11432(a,1),10776(a,1,2,1,1))]. 11504 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(11039,a,11450,a),flip(a)]. 11505 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9800,a,11504,a)]. 11506 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(62,a,10866,a(flip),b,11505,a),flip(a)]. 11508 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(11477(a,2),9438(a,1))]. 11509 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7460(a,2),11491(a,1,2))]. 11510 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(11509(a,1),10622(a,2,1))]. 11512 L(K(x,y),L(x,z,u),w) = K(x,y). [hyper(273,a,8227,a(flip),b,11350,a),flip(a)]. 11513 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [hyper(62,a,7132,a(flip),b,11512,a),flip(a)]. 11514 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9831(a,1),11375(a,1,1,1,2))]. 11515 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(8498(a,2),11485(a,1,1))]. 11516 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(6696,a,11493,a)]. 11517 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(273,a,6569,a(flip),b,11516,a),flip(a)]. 11518 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(22(a,2),11517(a,2,2))]. 11519 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(11502(a,1),9048(a,1,1))]. 11520 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(62,a,11412,a(flip),b,11415,a)]. 11521 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(5532,a,11519,a),flip(a)]. 11522 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(77(a,1),11521(a,2,2))]. 11523 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(5832,a,11468,a),flip(a)]. 11524 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(62,a,11409,a,b,11523,a)]. 11525 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1061(a,1),11484(a,1,2,1))]. 11526 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(273,a,10347,a(flip),b,11510,a),flip(a)]. 11527 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7501(a,1),11526(a,1,1,2))]. 11528 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8548(a,1),11527(a,1,2))]. 11529 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9569(a,2),11528(a,1,1))]. 11530 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(159(a,1),11525(a,1,2,2))]. 11531 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(273,a,9,a(flip),b,11404,a),flip(a)]. 11533 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(131,a,11531,a)]. 11534 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(11533(a,1),6948(a,1,2))]. 11535 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(62,a,11412,a(flip),b,11416,a),flip(a)]. 11536 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(62,a,11520,a(flip),b,11535,a),flip(a)]. 11537 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(273,a,8559,a(flip),b,11536,a),flip(a)]. 11538 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(9406,a,11537,a)]. 11539 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(62,a,7949,a,b,11538,a)]. 11540 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(7842(a,1),11514(a,1,1,1,2)),flip(a)]. 11541 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1974(a,1),11540(a,2,1))]. 11542 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(273,a,8579,a(flip),b,11541,a),flip(a)]. 11543 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(7693,a,11542,a)]. 11544 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(62,a,7649,a(flip),b,11543,a)]. 11545 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(10(a,1),11544(a,1,2,2,1)),flip(a)]. 11546 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(14(a,2),11544(a,1,2,2)),flip(a)]. 11547 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(4884(a,1),11544(a,1,2)),flip(a)]. 11548 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(273,a,8676,a,b,11545,a)]. 11549 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(62,a,9985,a(flip),b,11545,a)]. 11550 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(62,a,10801,a(flip),b,11549,a),flip(a)]. 11551 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(10(a,1),11549(a,1,2,2,2)),flip(a)]. 11552 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(9(a,1),11550(a,1,2,2))]. 11553 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(62,a,7638,a(flip),b,11552,a)]. 11557 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(273,a,7593,a(flip),b,11553,a),flip(a)]. 11558 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(12(a,1),11557(a,1,2,2,1)),flip(a)]. 11559 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(11558(a,1),5163(a,2,2))]. 11560 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(273,a,5163,a,b,11559,a),flip(a)]. 11561 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(33,a,8676,a,b,11548,a)]. 11562 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(9438,a,11561,a)]. 11563 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(62,a,8817,a,b,11561,a)]. 11564 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(62,a,10143,a,b,11562,a)]. 11565 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(62,a,9308,a(flip),b,11563,a)]. 11566 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(11565(a,1),8764(a,1,2)),flip(a)]. 11567 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(9428,a,11564,a)]. 11568 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(585(a,1),11546(a,1,2,2))]. 11569 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(9409,a,11568,a),flip(a)]. 11572 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(11569(a,1),5163(a,2,2))]. 11573 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(273,a,5163,a,b,11572,a),flip(a)]. 11574 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(11573(a,1),9065(a,1,1,1))]. 11576 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(273,a,8424,a(flip),b,11566,a),flip(a)]. 11577 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8943,a,11576,a)]. 11578 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(12(a,1),11577(a,1,2,2)),flip(a)]. 11579 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(11578(a,1),5164(a,1,2,1))]. 11580 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(62,a,7545,a(flip),b,11574,a)]. 11581 K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)) = K(a(x,y,z),x). [hyper(62,a,11190,a,b,11580,a)]. 11582 K(a(x,y,z),x) = 1. [hyper(11182,a,11581,a),flip(a)]. 11585 T(a(x,y,z),x) = a(x,y,z). [hyper(55,a,11582,a)]. 11586 T(x,a(x,y,z)) = x. [hyper(53,a,11585,a)]. 11587 a(x,y,z) * x = x * a(x,y,z). [para(11585(a,1),108(a,1,2)),flip(a)]. 11588 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(4026(a,2),11585(a,1,1))]. 11589 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(11586(a,1),210(a,1,2,1)),flip(a)]. 11591 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(62,a,10506,a(flip),b,11587,a),flip(a)]. 11592 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(11589(a,1),1274(a,2,2,1,2)),flip(a)]. 11593 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(11591(a,1),10507(a,1,2,2))]. 11594 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(62,a,5708,a(flip),b,11593,a)]. 11595 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(62,a,10465,a,b,11594,a)]. 11596 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(62,a,7746,a(flip),b,11515,a),flip(a)]. 11598 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5455,a,11579,a),flip(a)]. 11599 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(273,a,9053,a(flip),b,11598,a),flip(a)]. 11600 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(9450,a,11599,a)]. 11601 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(8014(a,1),11600(a,1,2))]. 11602 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(11479(a,1),11478(a,1,2,2))]. 11603 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(9200(a,1),11602(a,1,2,2))]. 11604 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(108(a,1),11603(a,1,2)),flip(a)]. 11605 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(8331,a,11481,a),flip(a)]. 11607 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(273,a,10815,a(flip),b,11395,a),flip(a)]. 11609 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(5270(a,1),11607(a,2,2,2))]. 11610 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(178(a,1),11609(a,2,2))]. 11612 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(273,a,8,a(flip),b,11610,a),flip(a)]. 11614 R(x,K(y,z),R(z,u,w)) = x. [para(11390(a,1),11612(a,1,3))]. 11615 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(62,a,8257,a(flip),b,11614,a)]. 11618 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7665(a,2),11615(a,1,2))]. 11619 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(273,a,11,a(flip),b,11396,a),flip(a)]. 11621 R(x,K(y,z),L(z,u,w)) = x. [para(11391(a,1),11619(a,1,3))]. 11622 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(8542(a,1),11621(a,1,2))]. 11624 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(62,a,8257,a(flip),b,11622,a)]. 11626 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(9924(a,1),11624(a,1,2)),flip(a)]. 11627 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(11626(a,1),10697(a,2,1))]. 11628 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(273,a,9914,a(flip),b,11627,a),flip(a)]. 11630 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(9721(a,1),11628(a,1,2,1))]. 11632 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4512(a,1),10412(a,1,1))]. 11633 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(12(a,1),10504(a,2,1))]. 11634 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(273,a,8295,a,b,11633,a)]. 11635 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3677(a,1),10975(a,1,2,2))]. 11636 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(62,a,11195,a(flip),b,11062,a)]. 11637 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(11147,a,11636,a)]. 11638 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(62,a,11442,a(flip),b,11637,a)]. 11639 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(8(a,1),11638(a,1,2,2,1))]. 11640 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(273,a,5931,a(flip),b,11639,a),flip(a)]. 11641 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(273,a,11605,a(flip),b,11640,a),flip(a)]. 11642 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(8(a,1),11641(a,2,2,2,1))]. 11643 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(273,a,5932,a(flip),b,11292,a),flip(a)]. 11644 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(5368(a,1),11306(a,1,2,2,1)),flip(a)]. 11645 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(273,a,9752,a(flip),b,11644,a),flip(a)]. 11646 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(8238,a,11645,a)]. 11648 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9(a,1),11319(a,1,2,2,2,1))]. 11649 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(9573,a,11648,a),flip(a)]. 11650 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(8953,a,11649,a)]. 11651 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(62,a,7165,a,b,11650,a)]. 11652 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2330(a,1),11342(a,1,1,2)),flip(a)]. 11653 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7604(a,1),11652(a,2,1))]. 11654 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(273,a,8056,a,b,11653,a),flip(a)]. 11655 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2334(a,1),11654(a,1,1,1))]. 11656 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5388(a,1),11655(a,1,1))]. 11657 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(273,a,8502,a,b,11656,a),flip(a)]. 11658 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2226(a,1),11657(a,1,2))]. 11659 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(11657(a,2),8515(a,1))]. 11660 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(116,a,11658,a(flip),b,5174,a)]. 11661 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(273,a,7869,a(flip),b,11343,a),flip(a)]. 11663 K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). [para(3635(a,1),11661(a,1,2,2))]. 11664 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(3715(a,1),11663(a,1,2,2))]. 11666 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6613(a,1),11664(a,1,2)),flip(a)]. 11667 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(273,a,11260,a(flip),b,11666,a),flip(a)]. 11669 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(62,a,11595,a,b,11667,a)]. 11671 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(62,a,10363,a,b,11669,a)]. 11673 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(232(a,1),11671(a,2,2))]. 11674 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(273,a,9666,a(flip),b,11673,a),flip(a)]. 11676 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(62,a,9280,a(flip),b,11674,a)]. 11678 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(8548(a,1),11632(a,1,1,2))]. 11679 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(10118,a,11678,a),flip(a)]. 11681 R(K(x,y),L(y,z,u),w) = K(x,y). [para(10149(a,1),11679(a,1,1))]. 11682 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(62,a,6861,a(flip),b,11681,a)]. 11684 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(273,a,6543,a(flip),b,11682,a),flip(a)]. 11685 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(8502(a,1),11635(a,1,2))]. 11686 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(74(a,1),11643(a,2,2,1,2))]. 11688 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6569(a,1),11686(a,1,2,1,1,2,1))]. 11689 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(62,a,10912,a(flip),b,11688,a),flip(a)]. 11690 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6795(a,1),9020(a,1,2))]. 11691 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(62,a,8580,a(flip),b,11690,a)]. 11692 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(405(a,1),11691(a,2,1,1))]. 11693 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(62,a,8726,a(flip),b,11692,a)]. 11694 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(9407,a,11693,a),flip(a)]. 11695 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(273,a,9691,a(flip),b,11694,a),flip(a)]. 11697 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * T(x * y,1 / y)) / z). [para(6690(a,1),9340(a,2,2,1,2))]. 11698 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * T((z * (x * y)) / z,1 / y). [para(422(a,1),11697(a,2,2))]. 11699 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = T(x * y,T(1 / y,z)). [hyper(273,a,9024,a(flip),b,11698,a),flip(a)]. 11700 T(x * y,T(1 / y,x)) = L(y \ 1,y,x) \ x. [hyper(62,a,4063,a(flip),b,11699,a),flip(a)]. 11701 T(x * y,T(1 / y,x)) = T(x * y,1 / y). [hyper(273,a,6690,a(flip),b,11700,a),flip(a)]. 11702 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(273,a,2024,a(flip),b,11225,a),flip(a)]. 11703 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(27(a,2),11702(a,2,3))]. 11704 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(5160(a,1),8341(a,1,2,2,1))]. 11706 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5963(a,1),11704(a,1,2,2))]. 11707 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(155,a,11706,a)]. 11708 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(64(a,1),11707(a,2,1))]. 11709 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(115,a,3265,a(flip),b,11708,a)]. 11710 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(5602(a,1),9083(a,1,2,1)),flip(a)]. 11711 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(4913(a,1),11710(a,1,2))]. 11713 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(62,a,7196,a,b,11711,a)]. 11715 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(273,a,5599,a(flip),b,11713,a),flip(a)]. 11716 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(62,a,9035,a(flip),b,11715,a)]. 11717 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(273,a,11277,a,b,11716,a),flip(a)]. 11719 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11717(a,1),5173(a,2,1)),flip(a)]. 11727 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(62,a,9675,a(flip),b,11719,a),flip(a)]. 11728 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11727(a,2),5906(a,1,2))]. 11729 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(252,a,11728,a)]. 11730 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11729(a,1),9570(a,1,1))]. 11731 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11730(a,1),11634(a,1,1)),flip(a)]. 11739 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(273,a,9566,a(flip),b,11731,a),flip(a)]. 11740 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(62,a,5322,a(flip),b,11739,a),flip(a)]. 11741 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(11(a,1),11740(a,2,1))]. 11742 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(22(a,2),11741(a,1,3))]. 11743 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11742(a,1),5264(a,1,2))]. 11744 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(8967(a,1),9102(a,1,1,1))]. 11745 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(94(a,1),9693(a,1,2)),flip(a)]. 11746 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(273,a,444,a(flip),b,11745,a)]. 11747 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(11458(a,1),11746(a,1,1)),flip(a)]. 11748 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(11480,a,11747,a),flip(a)]. 11751 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(391(a,1),11748(a,2,1,2))]. 11752 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(5626(a,1),11751(a,1,1))]. 11753 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(11473(a,1),11752(a,1,1))]. 11754 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(355(a,1),11753(a,1,2)),flip(a)]. 11756 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(62,a,11471,a(flip),b,11754,a),flip(a)]. 11757 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(6536(a,1),11756(a,1,1)),flip(a)]. 11758 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [hyper(62,a,7761,a,b,11757,a)]. 11759 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(11757(a,1),5201(a,2,2,2))]. 11760 T(x * T(x \ y,z),x) / K(T(x \ T(y,x),z),x) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). [para(1512(a,2),9745(a,1,1))]. 11761 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(273,a,6571,a(flip),b,9900,a),flip(a)]. 11762 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(9(a,1),11761(a,2,2))]. 11763 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6627,a,11762,a)]. 11764 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(9(a,1),11763(a,1,2))]. 11765 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(10054,a,11764,a)]. 11766 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(273,a,11447,a(flip),b,10798,a),flip(a)]. 11770 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(62,a,5714,a(flip),b,11651,a)]. 11771 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(8502(a,1),11660(a,1,1))]. 11772 T(x * T(x \ y,z),x) / K(T(x \ y,z),x) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). [para(4686(a,1),11760(a,1,2))]. 11773 T(x * T(x \ y,z),x) * K(x,T(x \ y,z)) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). [hyper(8239,a,11772,a)]. 11774 T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = R(x,T(x \ y,z),x) * T(x \ y,z). [hyper(8375,a,11773,a),flip(a)]. 11775 T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = T(x * T(y / x,z),x). [hyper(273,a,4661,a(flip),b,11774,a),flip(a)]. 11776 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [hyper(62,a,4262,a(flip),b,11775,a),flip(a)]. 11777 T(x,T(x * T(y / x,z),x)) = T(x,x * T(T(x,y) \ y,z)). [para(11776(a,2),4462(a,2,2)),flip(a)]. 11778 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(y / x,z)). [hyper(4350,a,11777,a),flip(a)]. 11779 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(x \ y,z)). [hyper(273,a,4305,a(flip),b,11778,a),flip(a)]. 11780 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = T(y / T(x,y),z) * T(x,x * T(x \ y,z)). [para(11779(a,1),4360(a,1,2)),flip(a)]. 11781 T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = y * T(y \ x,z). [hyper(7225,a,11780,a),flip(a)]. 11782 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(273,a,11642,a(flip),b,11766,a),flip(a)]. 11783 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(273,a,11506,a(flip),b,11782,a),flip(a)]. 11785 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(3382(a,1),11783(a,1,2))]. 11786 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11785(a,1),8226(a,1,1,2)),flip(a)]. 11787 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(273,a,8226,a(flip),b,11786,a),flip(a)]. 11788 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11787(a,1),6643(a,1,1,2))]. 11789 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11524(a,1),11788(a,1,1,2))]. 11790 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(64(a,1),11789(a,1,1,2,1,2))]. 11791 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5819(a,1),11790(a,1,1))]. 11792 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(62,a,25,a,b,11791,a)]. 11793 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5568(a,1),11792(a,1,1)),flip(a)]. 11794 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4323,a,11793,a)]. 11795 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(138,a,11794,a)]. 11796 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11794(a,1),7444(a,1,2))]. 11797 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(273,a,5319,a,b,11795,a)]. 11798 x * R(y,z,L(y,u,w)) = x * R(y,z,y). [hyper(57,a,11795,a)]. 11800 K(R(x,y,L(x,z,u)),w) = K(x,w). [para(11795(a,2),7431(a,1,1))]. 11801 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11795(a,1),11363(a,1,2,2)),flip(a)]. 11802 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(9411,a,11800,a),flip(a)]. 11803 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(11800(a,1),5173(a,2,1)),flip(a)]. 11804 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10795(a,1),11796(a,1))]. 11805 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(9407,a,11802,a),flip(a)]. 11807 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(11805(a,1),5283(a,2,1,1))]. 11808 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(273,a,5283,a,b,11807,a),flip(a)]. 11809 K(x * L(y,z,u),y) = K(y * x,y). [hyper(273,a,11364,a(flip),b,11801,a),flip(a)]. 11812 K(L(x,y,z) * u,x) = K(x * u,x). [hyper(62,a,10749,a,b,11809,a)]. 11813 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(62,a,11347,a(flip),b,11809,a)]. 11815 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(10(a,1),11812(a,1,1)),flip(a)]. 11816 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(62,a,11467,a(flip),b,11815,a)]. 11817 T(x * K(y,x),x * (L(x,z,u) \ y)) = x. [para(11815(a,1),5134(a,1,1,2))]. 11818 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8954,a,11816,a)]. 11824 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(273,a,5657,a(flip),b,11813,a),flip(a)]. 11826 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(62,a,11348,a(flip),b,11824,a)]. 11827 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11824(a,1),10252(a,1,1,2))]. 11828 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(11817(a,1),5209(a,1,1)),flip(a)]. 11829 T(x,L(x,y,z) * u) = T(x,x * u). [para(9(a,1),11828(a,1,2,2)),flip(a)]. 11830 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(11828(a,1),7445(a,1,2)),flip(a)]. 11832 T(x,L(x,y,z) * u) = x * K(x,x * u). [hyper(273,a,5163,a(flip),b,11829,a),flip(a)]. 11834 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [para(11829(a,2),7445(a,1,2))]. 11836 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(62,a,10802,a,b,11830,a)]. 11837 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(5238,a,11832,a)]. 11839 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [para(11837(a,2),8436(a,1,2))]. 11841 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,v6) * y). [para(11837(a,1),9156(a,1,1))]. 11844 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(7926(a,1),11834(a,1,2))]. 11845 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10758(a,1),11839(a,1,2))]. 11847 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(94(a,1),11844(a,1,2,2))]. 11848 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(94(a,1),11845(a,1,2,2))]. 11849 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(10(a,1),11847(a,1,2,2,2))]. 11850 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(9107(a,1),11847(a,1,2))]. 11851 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7896(a,1),11848(a,1,2)),flip(a)]. 11852 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(9987,a,11850,a),flip(a)]. 11853 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(11850(a,1),9987(a,1))]. 11855 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(10(a,1),11852(a,1,2,2))]. 11857 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(273,a,11461,a(flip),b,11826,a),flip(a)]. 11858 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(94(a,1),11857(a,1,1,2))]. 11859 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(9987,a,11849,a),flip(a)]. 11860 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(12(a,1),11859(a,1,2,2)),flip(a)]. 11861 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(62,a,9078,a(flip),b,11860,a)]. 11862 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(10053,a,11858,a)]. 11863 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(62,a,9109,a(flip),b,11858,a)]. 11864 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(8727(a,2),11853(a,1))]. 11865 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(273,a,27,a,b,11803,a),flip(a)]. 11866 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(115,a,11865,a(flip),b,10594,a(flip))]. 11867 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [hyper(62,a,10792,a(flip),b,11866,a)]. 11869 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(62,a,10599,a(flip),b,11867,a)]. 11871 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(11869(a,1),7212(a,1,1))]. 11875 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(273,a,11464,a(flip),b,11862,a),flip(a)]. 11876 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(62,a,10306,a(flip),b,11875,a)]. 11877 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(18(a,2),11876(a,2,1))]. 11878 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11804,a,11877,a),flip(a)]. 11879 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(11058,a,11878,a)]. 11880 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11878(a,1),11058(a,1))]. 11881 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(9529,a,11879,a),flip(a)]. 11882 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(62,a,7124,a,b,11879,a)]. 11883 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [hyper(62,a,8372,a(flip),b,11879,a),flip(a)]. 11884 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(62,a,8161,a(flip),b,11879,a),flip(a)]. 11885 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(62,a,7136,a(flip),b,11879,a),flip(a)]. 11886 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(25(a,1),11879(a,2,2))]. 11887 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11879(a,1),94(a,1,2))]. 11888 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11879(a,1),441(a,1,2,2))]. 11889 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11879(a,1),1135(a,1,2,1))]. 11890 K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(11879(a,1),9212(a,2,2))]. 11891 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(11879(a,2),9449(a,1,2))]. 11892 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11879(a,1),9008(a,1,2))]. 11893 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11879(a,1),10474(a,1,1))]. 11895 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(273,a,9057,a,b,11881,a),flip(a)]. 11897 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(9217(a,1),11881(a,1,2)),flip(a)]. 11898 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(11881(a,2),9449(a,1))]. 11899 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [hyper(62,a,10081,a(flip),b,11886,a),flip(a)]. 11900 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,10489,a(flip),b,11893,a)]. 11902 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11893(a,1),5137(a,1,2)),flip(a)]. 11903 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(8443(a,2),11900(a,1,3))]. 11904 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7121(a,1),11895(a,1,2)),flip(a)]. 11906 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(6446(a,1),11887(a,1,2,2))]. 11907 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(11879(a,1),11887(a,1,2,2))]. 11908 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(62,a,3210,a(flip),b,11902,a)]. 11909 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(9448,a,11904,a)]. 11911 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(62,a,5745,a,b,11908,a)]. 11912 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(62,a,9058,a(flip),b,11909,a),flip(a)]. 11913 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(62,a,11522,a(flip),b,11882,a),flip(a)]. 11914 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(463(a,1),11897(a,1,2,2)),flip(a)]. 11916 x * (y * K(z,K(x * y,u))) = T(x * y,K(z,L(u,y,x))). [hyper(8447,a,11907,a),flip(a)]. 11917 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). [para(8458(a,1),11916(a,1,2,2))]. 11918 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(62,a,9661,a,b,11906,a)]. 11920 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(62,a,10279,a(flip),b,11918,a),flip(a)]. 11922 K(R(x,y,z),L(x,u,w) * v5) = K(R(x,y,z),x * v5). [hyper(62,a,9156,a(flip),b,11841,a),flip(a)]. 11923 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(11272,a,11922,a)]. 11924 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(456(a,1),11883(a,1,2)),flip(a)]. 11925 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(11924(a,1),6970(a,1,2,2,2)),flip(a)]. 11926 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6287(a,1),11892(a,1,1))]. 11927 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(273,a,9130,a(flip),b,11926,a),flip(a)]. 11928 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [hyper(8510,a,11927,a)]. 11929 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6536(a,1),11827(a,1,1,2)),flip(a)]. 11930 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(273,a,6411,a(flip),b,11929,a),flip(a)]. 11931 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1125(a,1),11930(a,1,1))]. 11932 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11931(a,1),10467(a,2,2))]. 11933 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(273,a,6416,a,b,11932,a),flip(a)]. 11934 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8670(a,1),11920(a,1,2)),flip(a)]. 11935 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6838(a,1),11934(a,2,2))]. 11937 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). [hyper(273,a,6893,a(flip),b,11923,a),flip(a)]. 11938 K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(62,a,10848,a(flip),b,11937,a)]. 11940 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10431(a,1),11912(a,1,2))]. 11941 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(62,a,11601,a(flip),b,11940,a)]. 11942 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(62,a,9058,a(flip),b,11941,a),flip(a)]. 11943 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(9429,a,11942,a)]. 11944 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(62,a,9807,a(flip),b,11943,a)]. 11945 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(273,a,9682,a(flip),b,11944,a),flip(a)]. 11947 K(x,K(y,a(z,x,u))) = 1. [para(198(a,1),11945(a,1,2,2,3))]. 11949 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(11947(a,1),8416(a,1,2)),flip(a)]. 11950 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(273,a,8,a(flip),b,11949,a),flip(a)]. 11951 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8707,a,11950,a)]. 11952 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(11951(a,1),108(a,1,2)),flip(a)]. 11954 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(273,a,8558,a(flip),b,11836,a),flip(a)]. 11955 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(273,a,11684,a(flip),b,11954,a),flip(a)]. 11956 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(8832,a,11955,a)]. 11957 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(273,a,11824,a(flip),b,11956,a),flip(a)]. 11959 K(x / (y \ z),y) = K((z / x) \ y,y). [para(320(a,1),11957(a,1,1,2,1))]. 11960 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(62,a,10061,a,b,11959,a)]. 11961 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(62,a,10059,a,b,11959,a)]. 11962 K(x / (y / z),z) = K((y / x) \ z,z). [hyper(62,a,7864,a,b,11959,a)]. 11963 K(((x * y) / z) \ y,y) = K(z / x,y). [para(11(a,1),11962(a,1,1,2)),flip(a)]. 11964 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(62,a,9015,a,b,11961,a)]. 11965 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(62,a,11413,a(flip),b,11964,a),flip(a)]. 11966 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(62,a,5660,a(flip),b,11965,a)]. 11967 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(7662,a,11966,a)]. 11971 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5388(a,1),11889(a,1,2))]. 11972 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(5714(a,1),11925(a,2,2,2,2))]. 11973 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2334(a,1),11972(a,2,2))]. 11974 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(77(a,1),11973(a,1,2,2,2,2,1,1,2))]. 11975 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(8371(a,1),11974(a,1,2,2,2)),flip(a)]. 11976 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2334(a,1),11975(a,2,2))]. 11977 x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). [para(10(a,1),11976(a,1,2,2)),flip(a)]. 11978 K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. [para(11977(a,1),8226(a,1,1)),flip(a)]. 11979 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(62,a,5676,a(flip),b,11770,a)]. 11980 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(7662,a,11979,a)]. 11981 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(226(a,1),11980(a,1,1))]. 11982 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(11369,a,11981,a)]. 11984 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(62,a,7899,a(flip),b,11982,a)]. 11985 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(9(a,1),11984(a,1,2,2))]. 11986 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(9401,a,11985,a)]. 11987 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [hyper(62,a,9291,a(flip),b,11986,a)]. 11988 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(273,a,10164,a(flip),b,11987,a),flip(a)]. 11989 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(9(a,1),11988(a,1,2,1,1)),flip(a)]. 11990 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4294(a,1),11989(a,1,2,1)),flip(a)]. 11991 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4399(a,2),11989(a,1,2,1)),flip(a)]. 11992 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(62,a,11861,a(flip),b,11990,a),flip(a)]. 11993 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(62,a,10166,a(flip),b,11992,a),flip(a)]. 11994 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(7657,a,11993,a),flip(a)]. 11996 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(62,a,7950,a(flip),b,11994,a)]. 11998 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(11996(a,2),9409(a,1))]. 12000 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(4562(a,1),5593(a,1,1,2,1)),flip(a)]. 12002 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5368(a,1),12000(a,2,1,2))]. 12003 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(8218(a,1),12002(a,2,1))]. 12004 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(128,a,12003,a)]. 12005 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(12004(a,1),3379(a,1,1,1)),flip(a)]. 12006 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6800(a,1),12005(a,2,1))]. 12007 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5952(a,1),12006(a,1,2,2))]. 12008 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8788(a,1),12007(a,1,2))]. 12009 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(10035(a,1),12008(a,1,2)),flip(a)]. 12010 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(273,a,10045,a(flip),b,12009,a),flip(a)]. 12012 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(12010(a,1),6493(a,1,2,1))]. 12013 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5178(a,1),6255(a,1,2))]. 12014 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(12013(a,1),11567(a,1,2,2))]. 12016 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(273,a,11400,a(flip),b,6888,a),flip(a)]. 12017 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(273,a,9475,a(flip),b,12016,a),flip(a)]. 12018 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10593(a,1),12017(a,2,2))]. 12019 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6520(a,1),12018(a,1,1))]. 12020 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6882(a,1),12019(a,1,2))]. 12021 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(62,a,11433,a(flip),b,12020,a)]. 12022 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(9081(a,1),12021(a,1,2))]. 12023 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [hyper(62,a,11798,a(flip),b,12022,a)]. 12026 (x / y) * R(y,z,y) = x * a(y,z,y). [para(320(a,1),12023(a,2,2,3))]. 12028 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(62,a,9882,a,b,12026,a)]. 12029 R(x,y,x) / x = a(x,y,x). [hyper(114,a,12026,a(flip),b,1368,a(flip)),flip(a)]. 12030 x \ R(x,y,x) = a(x,y,x). [hyper(33,a,9882,a,b,12026,a(flip))]. 12031 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(33,a,12023,a(flip),b,12026,a(flip))]. 12032 (x * y) * a(y,z,y) = x * R(y,z,y). [para(11(a,1),12026(a,1,1)),flip(a)]. 12034 (x * a(y,z,y)) / R(y,z,y) != u | x / y = u. [para(12026(a,1),280(a,1,1))]. 12035 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(12026(a,1),1369(a,1,1))]. 12036 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1420(a,1),12026(a,1,1))]. 12037 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4320(a,1),12026(a,1,2))]. 12038 a(x,y,x) * x = R(x,y,x). [hyper(129,a,12029,a)]. 12039 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5797,a,12030,a)]. 12040 x * a(x,y,x) = R(x,y,x). [hyper(131,a,12030,a)]. 12041 L(x,y,x) \ x = a(x,y,x). [hyper(62,a,9626,a,b,12030,a)]. 12042 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(62,a,7628,a,b,12030,a)]. 12043 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(62,a,5809,a,b,12030,a)]. 12044 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(62,a,7978,a(flip),b,12030,a),flip(a)]. 12046 T(x * y,x) / x = y * a(x,y,x). [para(12030(a,1),8974(a,1,2)),flip(a)]. 12047 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(12030(a,1),10724(a,1,3))]. 12048 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(12030(a,1),11210(a,1,1))]. 12049 x \ R(x,y,x) != z | a(x,y,x) = z. [para(12040(a,1),288(a,1,2))]. 12050 (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). [para(12040(a,1),105(a,2,2)),flip(a)]. 12051 a(x,y,x) \ x = L(x,y,x). [para(12041(a,1),7212(a,1,1))]. 12052 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12047(a,1),392(a,1,1)),flip(a)]. 12053 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(8238,a,12039,a)]. 12054 K(x,x * y) * a(x,y,x) = K(x,y). [para(12039(a,1),5421(a,1,2))]. 12055 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(12039(a,1),9672(a,2,2))]. 12056 a(x,y,x) * (y * x) = T(x * y,x). [para(12039(a,1),10582(a,1,1))]. 12057 (x / y) * a(y,z,y) = x / L(y,z,y). [para(12039(a,1),11431(a,1,2))]. 12058 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(8238,a,12043,a)]. 12060 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(62,a,1395,a,b,12046,a)]. 12061 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(12046(a,1),110(a,1,1))]. 12062 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(12046(a,2),206(a,1,2,2))]. 12064 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(12046(a,2),443(a,1,2,2))]. 12065 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(12046(a,2),744(a,1,2,2,2))]. 12066 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(12046(a,2),7371(a,1,2,1)),flip(a)]. 12067 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5809(a,2),12049(a,1))]. 12068 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(10(a,1),12053(a,1,2,2))]. 12069 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(10(a,1),12054(a,1,1,2))]. 12070 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(273,a,5626,a,b,12058,a),flip(a)]. 12071 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(12058(a,1),1116(a,1,2,1))]. 12072 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6774(a,1),12058(a,2,1))]. 12073 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(7642(a,1),12058(a,1,2))]. 12075 (x * y) * a(y,x,y) = T(y * x,y). [hyper(62,a,1079,a(flip),b,12028,a),flip(a)]. 12076 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(9(a,1),12028(a,1,2)),flip(a)]. 12077 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(12028(a,1),1064(a,1,2))]. 12078 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5506(a,1),12028(a,1,2))]. 12079 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(12075(a,1),836(a,1,1,2))]. 12080 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(122,a,12032,a)]. 12082 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(12032(a,1),453(a,1,2,2))]. 12083 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(12032(a,1),5828(a,1,1,1,1)),flip(a)]. 12084 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(12042(a,1),11165(a,1,1))]. 12085 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(62,a,10224,a(flip),b,12044,a)]. 12087 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(12085(a,2),12049(a,1))]. 12088 (x * y) / L(y,z,y) = x * a(y,z,y). [para(11(a,1),12057(a,1,1)),flip(a)]. 12089 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(122,a,12076,a)]. 12091 (x * y) \ (R(x,z,x) * y) != u | L(a(x,z,x),y,x) = u. [para(12077(a,1),453(a,1,2))]. 12092 (x * y) * a(y,z,y) != u | x * R(y,z,y) = u. [para(12080(a,1),225(a,1,2))]. 12093 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(8520(a,1),12084(a,1,2)),flip(a)]. 12094 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1273,a,12088,a)]. 12095 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [hyper(171,a,12088,a)]. 12096 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [hyper(273,a,12080,a,b,12089,a),flip(a)]. 12098 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(62,a,9914,a(flip),b,12094,a)]. 12099 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(11(a,1),12094(a,1,1)),flip(a)]. 12100 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(838(a,1),12095(a,1,2))]. 12101 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(62,a,11630,a,b,12098,a)]. 12102 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(62,a,1129,a,b,12098,a)]. 12103 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(9721(a,1),12098(a,1,2,1))]. 12104 L(x,y,x) * (z * a(x,y,x)) = x * z. [hyper(131,a,12102,a)]. 12105 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(10(a,1),12102(a,1,2)),flip(a)]. 12106 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(12(a,1),12104(a,1,2)),flip(a)]. 12107 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(33,a,1127,a,b,12106,a)]. 12108 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(115,a,12107,a(flip),b,9916,a(flip))]. 12109 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(5423,a,12055,a)]. 12110 K(x * y,x) * (K(x,y) * z) != a(x,y,x) * u | T(z,a(x,y,x)) = u. [para(12055(a,2),213(a,2)),flip(a)]. 12111 K(x * y,x) * (K(x,y) * z) != u | z * a(x,y,x) = u. [para(12109(a,1),5437(a,1,2))]. 12112 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(12099(a,1),12109(a,1,2)),flip(a)]. 12113 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12052(a,1),12061(a,1,1))]. 12114 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(12101(a,2),42(a,1))]. 12115 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12101(a,1),5142(a,1,2))]. 12116 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11212(a,1),12037(a,1,2))]. 12117 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(12113(a,1),1994(a,1,1)),flip(a)]. 12118 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(273,a,10037,a,b,12048,a)]. 12119 R(x / y,y,a(y,z,y)) = x / y. [hyper(12034,a,12050,a),flip(a)]. 12121 R((x * y) / y,y,a(y,z,y)) = x. [hyper(273,a,11,a(flip),b,12119,a),flip(a)]. 12122 R(x,y,a(y,z,y)) = x. [para(11(a,1),12121(a,1,1))]. 12125 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(12122(a,1),646(a,1,1,1)),flip(a)]. 12126 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(12091,a,12096,a)]. 12128 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(273,a,146,a(flip),b,12126,a),flip(a)]. 12129 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12026(a,2),12115(a,1,2))]. 12130 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(12046(a,1),12060(a,1,1)),flip(a)]. 12131 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(12114,a,12103,a),flip(a)]. 12133 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(62,a,10236,a(flip),b,12129,a)]. 12134 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(62,a,12078,a(flip),b,12133,a)]. 12135 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12133(a,1),7701(a,1,2))]. 12137 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(34,a,12093,a(flip),b,12118,a(flip))]. 12138 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(590(a,1),12128(a,2,2))]. 12139 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(8038(a,1),12062(a,1,2,2))]. 12140 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(12131(a,1),12100(a,1,1,2))]. 12141 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(12032(a,1),12140(a,1,1))]. 12143 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(273,a,9721,a(flip),b,12141,a),flip(a)]. 12145 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5641,a,12135,a),flip(a)]. 12146 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(108(a,1),12139(a,1,2)),flip(a)]. 12147 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4209(a,1),12079(a,1,1)),flip(a)]. 12148 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12131(a,1),12073(a,1,1)),flip(a)]. 12149 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(11864,a,12148,a),flip(a)]. 12151 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(8327,a,12149,a)]. 12153 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(23(a,1),12151(a,1,2,2))]. 12154 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(7959(a,1),12151(a,1,1))]. 12155 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9885(a,1),12151(a,1,1,2))]. 12156 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(10324(a,1),12151(a,1,1))]. 12157 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(12153(a,1),43(a,1))]. 12158 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(12032(a,1),12125(a,2,2))]. 12159 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(273,a,12035,a(flip),b,12158,a),flip(a)]. 12161 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(11586(a,1),12159(a,1,1))]. 12163 L(x,a(x,y,x),z) = x. [para(12121(a,1),12161(a,1,3))]. 12164 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(12163(a,1),449(a,1,2,1))]. 12165 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9958(a,1),12138(a,2,2,1))]. 12167 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(12028(a,1),12165(a,2,2))]. 12168 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(273,a,9,a(flip),b,12167,a),flip(a)]. 12169 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4890,a,12168,a),flip(a)]. 12171 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4682(a,1),12116(a,1,2,1)),flip(a)]. 12172 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9749(a,2),12064(a,1,2,2))]. 12173 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10673(a,1),12154(a,1,1)),flip(a)]. 12174 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7465(a,1),12173(a,2,2))]. 12176 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(62,a,12169,a(flip),b,12174,a),flip(a)]. 12178 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(23(a,1),12176(a,1,1,2))]. 12179 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3644(a,1),12156(a,1,1))]. 12180 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(94(a,1),12172(a,1,2)),flip(a)]. 12181 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(207(a,1),7695(a,1,1)),flip(a)]. 12182 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(8502(a,1),12181(a,2,1,1))]. 12183 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(273,a,25,a,b,12182,a),flip(a)]. 12184 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(62,a,9521,a(flip),b,12183,a),flip(a)]. 12186 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(9(a,1),8166(a,2,1,1))]. 12187 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(273,a,10282,a(flip),b,12186,a),flip(a)]. 12189 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(9(a,1),12187(a,1,1,1))]. 12190 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(9(a,1),12189(a,1,2,2))]. 12191 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6260(a,1),12190(a,1,2,1,3))]. 12192 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(4983(a,1),9548(a,2,1,1))]. 12193 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10003(a,1),10089(a,1,1,2))]. 12194 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(11618(a,1),12193(a,1,1))]. 12195 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(27(a,2),12194(a,1,2))]. 12196 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(246(a,1),12195(a,1,2,1))]. 12197 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(62,a,10773,a(flip),b,12196,a)]. 12198 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(10962(a,1),10970(a,2,2,1,1))]. 12199 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(273,a,2495,a(flip),b,12198,a),flip(a)]. 12200 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1378(a,1),12199(a,2,1))]. 12201 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4218(a,1),12200(a,1,1,2,1))]. 12202 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4234(a,1),12201(a,1,1))]. 12203 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9854(a,1),12202(a,1,1)),flip(a)]. 12204 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(12029(a,1),12203(a,1,1)),flip(a)]. 12205 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(10288(a,1),12192(a,2,1,1))]. 12206 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(5518(a,1),12205(a,2,1))]. 12208 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(7691(a,1),12206(a,1,2,1))]. 12209 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(10325(a,1),12208(a,1,2,1))]. 12210 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(72(a,1),12209(a,1,2,1,2,1))]. 12211 a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4793(a,1),4703(a,1,2))]. 12212 a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(110(a,1),12211(a,1,2))]. 12214 a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [hyper(62,a,4976,a(flip),b,12212,a)]. 12215 a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). [para(74(a,1),12214(a,1,1,1)),flip(a)]. 12217 a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). [hyper(62,a,4027,a(flip),b,12215,a)]. 12218 a((x \ y) \ y,x \ y,z) = a(x,y / x,z). [para(174(a,1),12217(a,1,1)),flip(a)]. 12219 a(T(x,x \ y),x \ y,z) = a(x,y / x,z). [para(109(a,2),12218(a,1,1))]. 12220 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4755(a,1),4819(a,1,1,2))]. 12221 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5388(a,1),6372(a,1,1,2))]. 12227 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(62,a,10615,a(flip),b,8013,a)]. 12229 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(62,a,8152,a(flip),b,12227,a)]. 12231 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(11148(a,1),12229(a,2,2,2))]. 12232 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(10(a,1),12231(a,2,2,2,1))]. 12233 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(9(a,1),12232(a,2,2))]. 12235 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(273,a,10602,a(flip),b,12233,a),flip(a)]. 12237 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4668,a,12235,a),flip(a)]. 12238 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(62,a,8153,a(flip),b,12235,a),flip(a)]. 12241 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(5115(a,1),8098(a,2,2,1))]. 12242 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(273,a,3676,a(flip),b,12241,a),flip(a)]. 12245 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(62,a,11208,a(flip),b,12242,a)]. 12247 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(62,a,6492,a(flip),b,12245,a),flip(a)]. 12248 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(273,a,7433,a(flip),b,10771,a),flip(a)]. 12250 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(273,a,10770,a(flip),b,12248,a),flip(a)]. 12252 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(62,a,5014,a(flip),b,11503,a),flip(a)]. 12254 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(273,a,3674,a(flip),b,12252,a),flip(a)]. 12255 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(3001(a,1),12254(a,1,2,1)),flip(a)]. 12257 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [hyper(4868,a,12220,a)]. 12258 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(11615(a,1),12221(a,1,1))]. 12259 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(4992,a,12257,a),flip(a)]. 12260 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3803,a,12259,a)]. 12262 a(x,y,1 / z) = a(x,y,z \ 1). [para(701(a,1),12260(a,1,3)),flip(a)]. 12264 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(3032(a,1),12260(a,1,3)),flip(a)]. 12265 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(62,a,4989,a,b,12264,a)]. 12266 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4851(a,1),12264(a,1,3))]. 12268 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(3007(a,1),12265(a,1,1,1,2,2))]. 12269 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4269(a,1),4183(a,1,1,2)),flip(a)]. 12270 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(273,a,2888,a(flip),b,12269,a),flip(a)]. 12271 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4179(a,1),12270(a,1,3))]. 12272 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(12271(a,1),6868(a,1,1,1))]. 12273 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(12271(a,1),12272(a,1,2))]. 12274 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(303,a,12273,a)]. 12275 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(62,a,4828,a(flip),b,12274,a)]. 12276 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(12275(a,1),197(a,1,2))]. 12277 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(77(a,1),4194(a,1,1,2))]. 12278 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(25(a,2),12277(a,1,1))]. 12279 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2712(a,1),12278(a,1,1))]. 12280 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(77(a,1),12279(a,1,2,2,2))]. 12281 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(25(a,2),12280(a,1,2,2))]. 12282 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2712(a,1),12281(a,1,2,2))]. 12283 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(9(a,1),12282(a,1,2))]. 12285 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(12283(a,1),7297(a,1,1)),flip(a)]. 12286 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(171,a,12285,a)]. 12287 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(62,a,2980,a(flip),b,12286,a)]. 12288 K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(18(a,2),6942(a,1,1,2))]. 12289 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(18(a,2),12288(a,1,2,1))]. 12290 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(18(a,2),12289(a,2,1,2))]. 12291 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6451(a,1),7986(a,1,1)),flip(a)]. 12292 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(273,a,5621,a(flip),b,12291,a),flip(a)]. 12294 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(273,a,5178,a(flip),b,12292,a),flip(a)]. 12295 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6451(a,1),12294(a,1,2))]. 12296 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(62,a,7913,a(flip),b,12295,a)]. 12298 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(273,a,11902,a(flip),b,12296,a),flip(a)]. 12299 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12298(a,1),5209(a,1,1))]. 12300 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12298(a,1),5323(a,1,1))]. 12301 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5626(a,2),8399(a,1,1,1,2))]. 12302 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8455(a,1),9363(a,1,1,2))]. 12303 (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(5388(a,1),10156(a,1,1,2,2))]. 12304 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(62,a,8453,a(flip),b,12014,a),flip(a)]. 12305 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(9429,a,12304,a)]. 12307 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(10559(a,1),12305(a,1,2))]. 12308 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(10943,a,12307,a)]. 12309 K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(11412(a,1),12155(a,1,1))]. 12310 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8546(a,1),12309(a,1,1))]. 12311 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(11539(a,1),12310(a,1,1))]. 12312 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6485(a,1),12311(a,1,2))]. 12313 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9074(a,1),12312(a,1,2))]. 12314 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(8502(a,1),12301(a,1,1,1))]. 12315 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(8827(a,1),12302(a,1,1)),flip(a)]. 12316 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(7460(a,2),12315(a,2,2))]. 12317 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(273,a,8265,a(flip),b,12316,a),flip(a)]. 12318 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(8458(a,1),12317(a,1,1))]. 12319 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(6549,a,12318,a)]. 12321 (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(5507(a,1),12303(a,1,1,2))]. 12322 (x * (K(y,z) * u)) * K(z,L(y,K(y,z) * (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5388(a,1),12321(a,1,2,2,2))]. 12323 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10706(a,1),12322(a,1,2))]. 12324 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(9218(a,1),12323(a,1,2))]. 12326 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5388(a,1),12324(a,2,2,1,1))]. 12327 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(8505(a,1),12326(a,2,2,1))]. 12328 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(8519(a,1),12314(a,1,1,1)),flip(a)]. 12329 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(8353(a,1),12328(a,2,2,1))]. 12330 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(5626(a,2),12329(a,2,2,1,2))]. 12331 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5626(a,2),12330(a,1,1,1))]. 12332 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(7460(a,2),12331(a,1,1))]. 12333 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(10076(a,1),12332(a,1,1))]. 12334 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(8999(a,1),12333(a,1,2))]. 12335 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(156(a,1),12334(a,1,2,2)),flip(a)]. 12337 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(177(a,1),12335(a,2,2))]. 12338 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [hyper(62,a,11604,a,b,12337,a)]. 12339 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [hyper(11460,a,12338,a),flip(a)]. 12341 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6445(a,1),6522(a,2,2,1,1))]. 12342 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5336(a,1),12341(a,2,2,1))]. 12345 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). [para(4163(a,1),6714(a,2,1))]. 12346 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(10(a,1),6876(a,2,2,1,2))]. 12347 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(273,a,210,a(flip),b,12346,a),flip(a)]. 12348 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(210(a,1),12347(a,1,2))]. 12349 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5388(a,1),12348(a,1,2,2))]. 12350 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(273,a,2507,a(flip),b,12349,a),flip(a)]. 12351 (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8443(a,2),9730(a,1,2,2))]. 12352 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1806(a,1),10284(a,1,1))]. 12353 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(273,a,10083,a(flip),b,12352,a),flip(a)]. 12355 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(131,a,12353,a)]. 12356 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(12355(a,1),12258(a,1,1))]. 12357 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(6371(a,1),12356(a,1,2))]. 12358 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1048,a,12357,a)]. 12359 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(273,a,5388,a(flip),b,12358,a),flip(a)]. 12360 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(62,a,7722,a,b,12359,a)]. 12361 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3254,a,12360,a),flip(a)]. 12362 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(9415,a,12361,a),flip(a)]. 12364 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(9407,a,12362,a),flip(a)]. 12366 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(12364(a,1),11218(a,1,1))]. 12367 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5521,a,12366,a)]. 12368 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10649(a,1),12366(a,1,2,2))]. 12369 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(10603,a,12367,a)]. 12371 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10607(a,1),12368(a,1,2))]. 12372 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5438,a,12371,a)]. 12373 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(12371(a,1),5437(a,1))]. 12375 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(62,a,12369,a,b,12372,a)]. 12376 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(62,a,11115,a(flip),b,12372,a)]. 12378 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(12376(a,1),7212(a,1,1))]. 12380 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12375(a,1),10621(a,1,1)),flip(a)]. 12381 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(47,a,12380,a)]. 12383 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). [hyper(9114,a,12381,a),flip(a)]. 12384 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(273,a,7779,a,b,12381,a)]. 12385 a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [hyper(62,a,12219,a,b,12381,a)]. 12387 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(12369(a,2),12373(a,1))]. 12388 a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). [hyper(12387,a,12383,a),flip(a)]. 12390 a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). [hyper(273,a,12237,a(flip),b,12388,a),flip(a)]. 12391 a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(27(a,2),12385(a,1,1))]. 12392 a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). [hyper(62,a,12390,a(flip),b,12391,a),flip(a)]. 12393 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(12392(a,1),10612(a,1,1))]. 12394 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(273,a,7495,a(flip),b,12393,a),flip(a)]. 12395 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(7814(a,1),12384(a,1,1,2))]. 12396 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(579(a,1),12395(a,1,1))]. 12397 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(211(a,1),12396(a,1,2)),flip(a)]. 12398 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(273,a,2024,a(flip),b,12397,a),flip(a)]. 12399 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(27(a,2),12398(a,2,3))]. 12400 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(62,a,12381,a(flip),b,12399,a)]. 12401 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(12387,a,12400,a)]. 12403 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(62,a,12238,a(flip),b,12401,a),flip(a)]. 12405 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(62,a,11703,a,b,12403,a)]. 12406 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(12087,a,12405,a)]. 12407 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12406(a,1),12171(a,1,2)),flip(a)]. 12408 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(22(a,2),12407(a,2,2,2))]. 12409 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(12237(a,1),12408(a,2,2))]. 12410 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(7952(a,1),12036(a,1,2)),flip(a)]. 12412 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). [hyper(273,a,8514,a(flip),b,12345,a),flip(a)]. 12413 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [hyper(273,a,6028,a(flip),b,12412,a),flip(a)]. 12416 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(4475(a,1),12413(a,1,1))]. 12417 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [hyper(62,a,6028,a(flip),b,12416,a)]. 12420 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(12417(a,1),7273(a,1,2))]. 12421 K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). [hyper(62,a,3817,a(flip),b,12420,a)]. 12423 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [hyper(62,a,6271,a(flip),b,12421,a)]. 12424 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [hyper(62,a,11759,a,b,12423,a)]. 12425 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(12424(a,1),11758(a,1,2,1,1))]. 12426 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(6166(a,1),12425(a,1,2,1))]. 12427 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(11879(a,1),12426(a,1,2,1,2,1))]. 12428 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(5137(a,1),12427(a,1,2,1))]. 12429 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(62,a,7761,a(flip),b,12428,a),flip(a)]. 12430 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(62,a,11879,a(flip),b,12429,a),flip(a)]. 12431 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(62,a,11408,a(flip),b,12429,a),flip(a)]. 12432 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(456(a,1),12429(a,2,1))]. 12434 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(12429(a,1),10471(a,1,2))]. 12435 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(12429(a,1),10486(a,1,2))]. 12436 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(456(a,1),12430(a,1,1)),flip(a)]. 12437 ((x * y) * K(z,L(u,y,x))) \ (x * (y * T(z,u))) = L(z,y,x). [para(12430(a,1),6422(a,1,1,2))]. 12438 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(12430(a,1),8230(a,1,2))]. 12440 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(12430(a,2),11880(a,1))]. 12441 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(12430(a,1),11971(a,1,2,1))]. 12442 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(62,a,10432,a(flip),b,12431,a)]. 12443 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(856(a,1),12431(a,1,1)),flip(a)]. 12444 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(8443(a,2),12440(a,1))]. 12445 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(10495,a,12434,a)]. 12446 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [hyper(8238,a,12434,a)]. 12447 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(9056(a,1),12434(a,1,2))]. 12449 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [hyper(273,a,11893,a,b,12445,a)]. 12450 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(12445(a,1),10512(a,2,2))]. 12451 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(456(a,1),12436(a,1,2))]. 12452 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(62,a,11911,a(flip),b,12438,a),flip(a)]. 12453 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(34,a,11893,a,b,12449,a)]. 12454 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(10(a,1),12453(a,1,2,2))]. 12455 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(11057(a,1),12454(a,2,2))]. 12456 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(10(a,1),12451(a,1,2)),flip(a)]. 12457 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4453(a,1),12452(a,1,1))]. 12458 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(10(a,1),12456(a,1,1)),flip(a)]. 12459 K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). [hyper(273,a,5721,a,b,12458,a),flip(a)]. 12460 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(62,a,11885,a(flip),b,12458,a),flip(a)]. 12461 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(62,a,11884,a(flip),b,12458,a),flip(a)]. 12462 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1302(a,2),12461(a,1,2))]. 12463 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [para(11086(a,1),12462(a,1,2))]. 12464 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(10482(a,1),12435(a,1))]. 12467 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(62,a,11149,a(flip),b,12442,a)]. 12469 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,10952,a(flip),b,12467,a),flip(a)]. 12470 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,10950,a(flip),b,12467,a),flip(a)]. 12471 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(12450(a,1),10221(a,2,2))]. 12472 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y,x). [para(11887(a,1),12437(a,1,1))]. 12473 L(x,y * K(x,z),u) = L(x,y,u). [hyper(62,a,6429,a(flip),b,12472,a)]. 12475 L(x,K(y,x) * z,u) = L(x,z,u). [para(7486(a,1),12473(a,1,2)),flip(a)]. 12476 L(x,T(x,y) \ z,u) = L(x,x \ z,u). [para(5518(a,1),12475(a,1,2))]. 12478 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(12447(a,1),7539(a,1))]. 12479 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(273,a,8856,a(flip),b,12443,a),flip(a)]. 12480 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(273,a,621,a(flip),b,12479,a),flip(a)]. 12482 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(62,a,8856,a(flip),b,12480,a)]. 12483 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10637,a,12482,a)]. 12484 K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). [hyper(62,a,5681,a(flip),b,12459,a),flip(a)]. 12485 K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). [para(77(a,1),12484(a,1,2,1)),flip(a)]. 12486 K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. [hyper(62,a,11978,a(flip),b,12485,a),flip(a)]. 12487 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,12483,a(flip),b,12469,a)]. 12488 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,8357,a(flip),b,12487,a)]. 12489 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7662,a,12488,a)]. 12490 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(273,a,10257,a(flip),b,12489,a),flip(a)]. 12491 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(64(a,1),12490(a,2,1))]. 12492 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,12483,a(flip),b,12470,a)]. 12493 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,11463,a(flip),b,12492,a)]. 12494 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(273,a,10429,a(flip),b,12493,a),flip(a)]. 12495 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(7662,a,12494,a)]. 12496 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(62,a,12491,a(flip),b,12495,a),flip(a)]. 12497 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(62,a,10429,a,b,12496,a)]. 12498 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(62,a,9799,a,b,12496,a)]. 12499 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(62,a,9221,a(flip),b,12496,a),flip(a)]. 12500 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(62,a,10257,a,b,12498,a)]. 12501 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(62,a,11913,a(flip),b,12500,a),flip(a)]. 12502 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(273,a,11863,a(flip),b,12499,a),flip(a)]. 12503 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5178(a,1),12441(a,1,2))]. 12504 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11902(a,1),12503(a,1,2)),flip(a)]. 12505 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(62,a,12497,a(flip),b,12455,a),flip(a)]. 12506 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11933(a,1),12471(a,1,2))]. 12507 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(7760,a,12506,a),flip(a)]. 12508 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(12430(a,1),12507(a,2,1))]. 12509 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(273,a,11893,a(flip),b,12508,a),flip(a)]. 12510 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(328,a,12509,a),flip(a)]. 12512 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(9(a,1),12510(a,1,3,1)),flip(a)]. 12513 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5397(a,1),12510(a,1,3)),flip(a)]. 12514 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6497(a,1),12510(a,1,3))]. 12516 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(12512(a,2),10843(a,1,1))]. 12517 a(x,y,K(x * z,z)) = 1. [hyper(273,a,9873,a(flip),b,12513,a),flip(a)]. 12518 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(12513(a,1),12504(a,2,2,2))]. 12519 L(K(x * y,y),z,x) = K(x * y,y). [hyper(51,a,12517,a)]. 12520 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(12519(a,1),7479(a,2,1))]. 12521 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10844,a,12516,a)]. 12522 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(62,a,12514,a,b,12521,a)]. 12523 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(10076(a,1),12520(a,1,2,2))]. 12524 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7476(a,1),12523(a,1,2)),flip(a)]. 12525 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [hyper(287,a,12524,a),flip(a)]. 12526 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(273,a,12502,a(flip),b,12505,a),flip(a)]. 12527 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(62,a,11882,a(flip),b,12526,a)]. 12528 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(62,a,12497,a(flip),b,12527,a)]. 12529 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(62,a,12501,a(flip),b,12528,a)]. 12530 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(22(a,2),12529(a,2,1,2))]. 12531 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(62,a,11466,a(flip),b,12530,a)]. 12532 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(12531(a,1),5419(a,1,2,1)),flip(a)]. 12533 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(273,a,5419,a(flip),b,12532,a),flip(a)]. 12534 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(273,a,5512,a(flip),b,12518,a),flip(a)]. 12535 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1302(a,2),12460(a,1,2))]. 12536 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(9821(a,1),12457(a,1,2))]. 12537 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(4339(a,1),12536(a,1,2)),flip(a)]. 12538 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(23(a,1),12537(a,2,2))]. 12539 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(273,a,9852,a(flip),b,12538,a),flip(a)]. 12540 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(12430(a,1),12539(a,2,1))]. 12541 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(273,a,9868,a(flip),b,12540,a),flip(a)]. 12542 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7459(a,1),12541(a,1,2,3))]. 12543 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4240(a,1),12542(a,1,2,3))]. 12544 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(62,a,12534,a,b,12543,a)]. 12545 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11879(a,1),12544(a,1,1))]. 12546 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3203(a,1),12545(a,1,2)),flip(a)]. 12547 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(273,a,5388,a(flip),b,12546,a),flip(a)]. 12548 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(12430(a,1),12547(a,2,1))]. 12549 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(273,a,5173,a,b,12548,a),flip(a)]. 12550 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(62,a,12300,a,b,12549,a)]. 12551 (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). [para(8815(a,1),12351(a,1,2,2)),flip(a)]. 12552 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(34,a,11399,a(flip),b,12551,a),flip(a)]. 12554 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8892,a,12552,a)]. 12555 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8515,a,12554,a)]. 12556 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(12555(a,2),42(a,1))]. 12557 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(273,a,476,a(flip),b,10722,a),flip(a)]. 12558 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(62,a,1325,a(flip),b,12557,a)]. 12559 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5432(a,1),12558(a,1,1,2,1))]. 12560 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5895(a,1),12559(a,1,1,2,1))]. 12561 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8581(a,1),12560(a,1,1,2,1)),flip(a)]. 12562 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(62,a,4420,a(flip),b,12561,a),flip(a)]. 12564 (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(12562(a,1),1082(a,2,1,2)),flip(a)]. 12565 (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(5388(a,1),12564(a,1,1))]. 12566 (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(10523(a,1),12565(a,1,1))]. 12567 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(331,a,12566,a)]. 12570 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(62,a,6185,a(flip),b,12567,a)]. 12571 R(K(x,y),R(x,z,u),w) = K(x,y). [para(107(a,1),12567(a,1,2,1))]. 12572 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(62,a,9116,a(flip),b,12571,a)]. 12574 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(273,a,7578,a(flip),b,12570,a),flip(a)]. 12576 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(62,a,8033,a(flip),b,12574,a),flip(a)]. 12578 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(273,a,12572,a(flip),b,12576,a),flip(a)]. 12579 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(9466,a,12578,a)]. 12581 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(62,a,7433,a(flip),b,10772,a),flip(a)]. 12583 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5368(a,1),12350(a,2,1,2,1))]. 12584 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(10471(a,1),12583(a,2,1))]. 12585 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6280(a,1),12584(a,1,2,2,2,1))]. 12586 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(62,a,12349,a(flip),b,12585,a)]. 12587 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(62,a,11294,a(flip),b,12586,a)]. 12588 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6548(a,1),12587(a,1,3)),flip(a)]. 12589 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11879(a,1),12587(a,1,3))]. 12590 a(x,y,a(z,u,K(y,w))) = 1. [hyper(52,a,12588,a)]. 12591 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8542(a,1),12590(a,1,3,3))]. 12592 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4842(a,1),8164(a,1,1))]. 12594 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(7213(a,1),12592(a,1,2,1,2))]. 12595 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2794,a,12594,a)]. 12596 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(115,a,12594,a(flip),b,2785,a(flip))]. 12597 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(273,a,6392,a,b,12595,a)]. 12599 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(62,a,3031,a,b,12596,a)]. 12600 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2191,a,12597,a)]. 12601 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(273,a,9626,a(flip),b,12600,a),flip(a)]. 12603 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(12600(a,1),225(a,1,2))]. 12604 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(12601(a,1),9633(a,1,1,2))]. 12605 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(12599(a,1),3858(a,2,1)),flip(a)]. 12606 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4756(a,1),12605(a,1,2))]. 12607 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5040(a,1),12606(a,1,2))]. 12608 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(62,a,8143,a(flip),b,12607,a),flip(a)]. 12610 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(192(a,1),12608(a,1,2,2,1))]. 12611 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(12610(a,1),4829(a,1,2))]. 12612 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(12611(a,1),7762(a,2,1))]. 12613 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9631(a,1),12604(a,1,2,1))]. 12614 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(11166(a,1),12613(a,1,2,2))]. 12615 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2458(a,1),12614(a,1,2)),flip(a)]. 12617 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(9631(a,1),12615(a,1,2,1))]. 12618 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(12601(a,1),12617(a,1,2)),flip(a)]. 12619 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9631(a,1),12618(a,2,3))]. 12620 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(5368(a,1),9101(a,1,1,1,2,1))]. 12621 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(9130(a,1),12620(a,1,1,1))]. 12622 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(11646(a,1),12621(a,1,1))]. 12623 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(10471(a,1),12622(a,1,1,2))]. 12624 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(5368(a,1),12623(a,1,3,1))]. 12625 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(9486,a,12624,a),flip(a)]. 12627 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(5370(a,1),12625(a,1,2,1))]. 12628 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(5370(a,1),12627(a,1,2,2,1))]. 12629 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(10472(a,1),12628(a,1,2))]. 12631 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(62,a,5234,a(flip),b,12629,a),flip(a)]. 12632 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(12629(a,1),290(a,1,1))]. 12634 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(267(a,1),12632(a,1))]. 12635 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(62,a,11743,a(flip),b,12631,a)]. 12636 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(9472(a,1),9479(a,1,1,2,1,1)),flip(a)]. 12637 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(9(a,1),12636(a,2,1,2,1))]. 12639 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9472(a,1),12637(a,1,1)),flip(a)]. 12640 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2233(a,1),12639(a,2,2))]. 12641 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(62,a,9768,a,b,12640,a)]. 12642 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(12640(a,1),11744(a,1,1))]. 12643 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(332,a,12641,a)]. 12644 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5420(a,1),12642(a,1,1,2))]. 12645 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(9487,a,12644,a),flip(a)]. 12646 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4971,a,12645,a)]. 12648 K(x,a(K(y,z),u,u \ 1)) = 1. [para(12646(a,1),10747(a,1,2))]. 12649 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(55,a,12648,a)]. 12650 T(x,a(K(y,z),u \ 1,u)) = x. [para(3812(a,1),12649(a,1,2))]. 12651 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(53,a,12650,a)]. 12652 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(273,a,3801,a,b,12651,a),flip(a)]. 12653 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5435(a,2),12652(a,1,1))]. 12654 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(62,a,10336,a,b,12653,a)]. 12655 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(62,a,8962,a,b,12654,a)]. 12656 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(11246,a,12655,a)]. 12657 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2585(a,1),12656(a,1,2,2))]. 12658 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(273,a,8458,a,b,12657,a),flip(a)]. 12659 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(12657(a,1),8445(a,1,2)),flip(a)]. 12660 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(489(a,1),12658(a,1,2,2))]. 12661 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5705(a,1),12660(a,1,2)),flip(a)]. 12662 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5708(a,2),12660(a,1,2))]. 12663 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(9462,a,12661,a)]. 12664 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(9423,a,12661,a)]. 12665 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7502(a,1),12661(a,1,2)),flip(a)]. 12666 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(7874(a,1),12662(a,1,2)),flip(a)]. 12667 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(12(a,1),12663(a,2,2,2))]. 12668 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(5716(a,2),12663(a,1,2))]. 12669 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(273,a,8458,a,b,12664,a),flip(a)]. 12670 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(12666(a,1),8454(a,1,2))]. 12671 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(9429,a,12667,a)]. 12672 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(12668(a,1),11903(a,1,3))]. 12673 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(10589,a,12669,a),flip(a)]. 12674 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(62,a,8773,a(flip),b,12671,a)]. 12676 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(12674(a,1),9704(a,1,1))]. 12677 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(12674(a,1),10416(a,1,1))]. 12678 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8458(a,1),12677(a,1,1))]. 12680 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(62,a,9373,a(flip),b,12678,a)]. 12681 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(74(a,1),12680(a,1,2,2,2))]. 12682 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8484,a,12676,a)]. 12683 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(74(a,1),12676(a,1,2)),flip(a)]. 12685 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8411(a,1),12682(a,1,1))]. 12686 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8443(a,1),12683(a,2,1))]. 12687 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9706,a,12685,a)]. 12688 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(171,a,12686,a)]. 12689 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(8171(a,1),12687(a,1,1,1,1))]. 12690 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(62,a,5256,a,b,12688,a)]. 12691 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(52,a,12690,a)]. 12692 a(K(x * y,K(z,u)),x,y) = 1. [para(9(a,1),12691(a,1,3))]. 12693 a(K(K(x,y),z),u,u \ z) = 1. [para(8190(a,2),12691(a,1,1))]. 12694 a(K(x,K(y,z * u)),z,u) = 1. [para(8411(a,1),12692(a,1,1))]. 12695 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(273,a,8478,a,b,12693,a),flip(a)]. 12696 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(273,a,8416,a(flip),b,12659,a),flip(a)]. 12697 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7501(a,1),12665(a,1,2))]. 12698 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(12(a,1),12673(a,1,2,1)),flip(a)]. 12699 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(12681(a,1),12695(a,2,2))]. 12700 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [hyper(9429,a,12698,a)]. 12701 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [hyper(62,a,12697,a(flip),b,12700,a)]. 12702 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(12701(a,1),9210(a,2,2))]. 12703 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(8440(a,1),12702(a,2,2))]. 12704 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(62,a,8432,a(flip),b,12670,a),flip(a)]. 12705 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7460(a,2),12704(a,2,1))]. 12706 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8907(a,1),12705(a,2,1))]. 12707 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(12706(a,2),8230(a,1,1))]. 12708 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8443(a,2),12699(a,2,2))]. 12709 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8190(a,1),12708(a,1,1))]. 12710 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5520(a,2),12689(a,1,1))]. 12711 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(9424,a,12710,a)]. 12712 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(62,a,12664,a(flip),b,12711,a)]. 12713 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(12(a,1),12712(a,1,2,2)),flip(a)]. 12714 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(9425,a,12713,a)]. 12715 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(2826(a,1),9601(a,2,1,2))]. 12716 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(610(a,1),12715(a,1,1,2,2))]. 12717 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(2880(a,1),12716(a,1,1,2))]. 12718 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(62,a,5772,a(flip),b,12717,a),flip(a)]. 12719 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5388(a,1),11191(a,1,1,1))]. 12720 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5118(a,1),5196(a,2,2,1,1,1))]. 12721 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5118(a,1),12720(a,1,1))]. 12722 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5895(a,1),12721(a,1,2,1))]. 12723 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5388(a,1),12722(a,1,2,2))]. 12724 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5388(a,1),12723(a,2,2,1,2))]. 12725 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9630(a,2),12724(a,2,1))]. 12726 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9868(a,1),12725(a,1,2,2))]. 12727 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6447(a,1),12726(a,1,2))]. 12728 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(9891(a,1),12727(a,1,2,2)),flip(a)]. 12729 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [hyper(273,a,9,a(flip),b,12728,a),flip(a)]. 12731 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(9630(a,1),12729(a,1,1))]. 12732 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(9868(a,1),12731(a,1,2,1,2))]. 12733 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(9926(a,1),12732(a,1,2,1))]. 12734 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(34,a,5047,a,b,12733,a)]. 12736 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(648(a,1),12734(a,1,2))]. 12737 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(62,a,6324,a(flip),b,12736,a)]. 12738 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7501(a,1),12737(a,1,2))]. 12739 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(12737(a,1),9502(a,1,2))]. 12740 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12738(a,1),6411(a,1,1)),flip(a)]. 12741 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(273,a,5047,a(flip),b,12740,a),flip(a)]. 12742 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(9288(a,1),12741(a,1,2))]. 12743 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7586(a,2),12742(a,1,1))]. 12744 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(11231(a,1),12739(a,1,1,2))]. 12745 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(62,a,12619,a(flip),b,12744,a)]. 12747 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(12030(a,1),12745(a,1,2))]. 12748 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(62,a,6069,a(flip),b,5746,a),flip(a)]. 12750 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(62,a,6325,a(flip),b,12748,a)]. 12751 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(62,a,7074,a(flip),b,12750,a)]. 12752 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(11(a,1),12751(a,1,2,1))]. 12753 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(62,a,7970,a(flip),b,12752,a)]. 12754 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(273,a,7850,a(flip),b,12753,a),flip(a)]. 12755 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5388(a,1),7770(a,1,2,1))]. 12756 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5388(a,1),12755(a,1,2,2,1,1))]. 12757 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(809(a,1),12756(a,1,2))]. 12758 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(7786(a,1),12757(a,1,2))]. 12759 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(62,a,5480,a(flip),b,12758,a),flip(a)]. 12761 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3109(a,1),12759(a,2,1))]. 12762 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6329(a,1),12761(a,1,1))]. 12763 R(K(x,y),K(y,z),u) = K(x,y). [hyper(854,a,12762,a)]. 12764 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(9(a,1),12762(a,1,2))]. 12766 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(12763(a,1),2495(a,1,1)),flip(a)]. 12767 L(x,K(y,z),K(u,y)) = x. [hyper(450,a,12764,a)]. 12768 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [hyper(212,a,12764,a,b,10,a),flip(a)]. 12769 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(116,a,8048,a(flip),b,12764,a)]. 12770 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [hyper(9577,a,12764,a(flip))]. 12771 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(116,a,12764,a(flip),b,5174,a)]. 12772 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2226(a,2),12764(a,1,1))]. 12773 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(9061(a,1),12764(a,1,1)),flip(a)]. 12774 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(12043(a,1),12764(a,1,1)),flip(a)]. 12775 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [hyper(62,a,6054,a(flip),b,12767,a)]. 12779 a(x,y,x) * z = z * a(x,y,x). [hyper(12111,a,12774,a),flip(a)]. 12780 T(x,a(y,z,y)) = x. [hyper(12110,a,12774,a)]. 12781 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [hyper(62,a,8050,a,b,12774,a)]. 12782 T(a(x,y,x),z) = a(x,y,x). [hyper(212,a,12774,a(flip),b,12055,a(flip))]. 12784 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5626(a,2),12774(a,1,1))]. 12787 x / a(y,z,y) = a(y,z,y) \ x. [hyper(383,a,12780,a),flip(a)]. 12788 K(x,a(y,z,y)) = 1. [hyper(54,a,12780,a)]. 12789 (a(x,y,x) \ z) \ z = a(x,y,x). [hyper(38,a,4215,a(flip),b,12780,a(flip))]. 12790 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12780(a,1),383(a,1))]. 12791 T(x,y \ R(y,z,y)) = x. [para(12030(a,2),12780(a,1,2))]. 12792 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12780(a,1),12066(a,2,1,1))]. 12793 x * K(y,a(z,u,z)) = x. [para(12788(a,2),8(a,1,2))]. 12794 x * K(y,a(z,u,z)) != w | x = w. [para(12788(a,2),125(a,1,2))]. 12795 x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. [hyper(383,a,12791,a),flip(a)]. 12799 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12793(a,1),265(a,1))]. 12800 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12793(a,1),5215(a,1,1,1))]. 12802 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(273,a,12030,a,b,12782,a),flip(a)]. 12804 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(273,a,12134,a(flip),b,12779,a),flip(a)]. 12805 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(273,a,12130,a(flip),b,12779,a),flip(a)]. 12806 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(273,a,12076,a(flip),b,12779,a),flip(a)]. 12807 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(273,a,12032,a(flip),b,12779,a),flip(a)]. 12808 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(115,a,12099,a(flip),b,12779,a)]. 12810 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(12030(a,2),12779(a,2,2)),flip(a)]. 12811 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(12779(a,2),12092(a,1))]. 12812 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12787(a,1),12108(a,1,2))]. 12813 x / T(a(y,z,y),u) = a(y,z,y) \ x. [para(12782(a,2),12787(a,1,2))]. 12816 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(3580(a,1),12802(a,2,2))]. 12819 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12806(a,1),482(a,1,1,1))]. 12820 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(116,a,12807,a(flip),b,144,a(flip))]. 12821 K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. [para(10(a,1),12781(a,1,2,1,1))]. 12822 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4584(a,1),12784(a,1,2))]. 12823 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5092(a,1),12769(a,1,1))]. 12824 L(x,K(y,z),K(y,u)) = x. [hyper(450,a,12770,a)]. 12825 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(9577,a,12770,a(flip))]. 12826 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(62,a,6054,a(flip),b,12824,a)]. 12828 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(273,a,12772,a,b,12775,a),flip(a)]. 12829 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [para(2226(a,2),12775(a,1,1))]. 12830 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(12043(a,1),12775(a,1,1)),flip(a)]. 12831 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6724(a,2),12830(a,1,2,1))]. 12832 T(x,R(a(y,z,y),u,w)) = x. [hyper(215,a,12800,a)]. 12833 L(x,K(y,z),K(z,u)) = x. [hyper(450,a,12825,a)]. 12834 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(212,a,12825,a,b,10,a),flip(a)]. 12836 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(273,a,4278,a(flip),b,12833,a),flip(a)]. 12837 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(62,a,12184,a(flip),b,12833,a),flip(a)]. 12838 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7501(a,1),12833(a,1,2))]. 12839 L(x,K(y,z),K(u,K(z,w))) = x. [para(8440(a,1),12833(a,1,3))]. 12840 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(12833(a,1),9497(a,1,1,1)),flip(a)]. 12841 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1095,a,12838,a),flip(a)]. 12842 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1095,a,12839,a),flip(a)]. 12843 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(12836(a,1),11808(a,1,2,3))]. 12844 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(62,a,12197,a(flip),b,12843,a),flip(a)]. 12845 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(62,a,7784,a(flip),b,12826,a),flip(a)]. 12846 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(424,a,12837,a)]. 12848 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(8502(a,1),12837(a,1,1))]. 12849 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(273,a,5163,a(flip),b,12846,a)]. 12850 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(62,a,12837,a(flip),b,12846,a)]. 12851 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(10786(a,1),12848(a,1,1,2)),flip(a)]. 12852 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(5572,a,12850,a)]. 12853 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12850(a,1),4696(a,1,2))]. 12854 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(12850(a,1),5238(a,1))]. 12855 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(62,a,12831,a(flip),b,12773,a),flip(a)]. 12856 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(125,a,12855,a),flip(a)]. 12858 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(12856(a,2),12747(a,1,3))]. 12859 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [para(12856(a,2),12855(a,1,1))]. 12860 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(496,a,12858,a)]. 12861 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(115,a,9,a(flip),b,12859,a)]. 12862 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12856(a,1),12860(a,1,2))]. 12863 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(273,a,12779,a(flip),b,12861,a),flip(a)]. 12864 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(62,a,12083,a(flip),b,12861,a)]. 12865 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(273,a,12787,a(flip),b,12862,a),flip(a)]. 12866 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(12862(a,2),12790(a,1))]. 12867 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(12856(a,1),12863(a,1,1))]. 12868 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(62,a,9927,a(flip),b,12865,a),flip(a)]. 12869 (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). [para(12821(a,1),5535(a,1,2))]. 12871 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(62,a,10321,a(flip),b,12834,a)]. 12872 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5387(a,1),12834(a,1,2,2)),flip(a)]. 12873 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(5173(a,1),12849(a,2,1)),flip(a)]. 12875 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(62,a,10731,a(flip),b,12871,a),flip(a)]. 12877 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(62,a,12524,a(flip),b,12822,a)]. 12878 (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). [hyper(273,a,10639,a,b,12869,a),flip(a)]. 12879 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12784(a,1),12877(a,1,2)),flip(a)]. 12880 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(287,a,12879,a),flip(a)]. 12881 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2226(a,1),12840(a,1,2,2))]. 12882 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(12842(a,2),834(a,1,2))]. 12883 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(62,a,9606,a(flip),b,12873,a)]. 12884 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(12881(a,1),8275(a,1,1))]. 12885 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(5795,a,12883,a)]. 12886 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(62,a,12709,a,b,12885,a),flip(a)]. 12887 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(62,a,9678,a,b,12885,a)]. 12888 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12885(a,2),5287(a,2,2)),flip(a)]. 12889 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8808(a,1),12885(a,1,1))]. 12890 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(189(a,2),12823(a,1,2,2,2))]. 12891 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3482(a,1),12845(a,1,2)),flip(a)]. 12892 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(273,a,4584,a(flip),b,12891,a),flip(a)]. 12893 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(9097(a,1),12892(a,2,2))]. 12895 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(273,a,12694,a(flip),b,12886,a),flip(a)]. 12896 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2226(a,1),12895(a,1,2))]. 12897 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(9(a,1),12896(a,1,2,2,2,3))]. 12898 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9659(a,1),12851(a,2,1))]. 12899 ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [hyper(115,a,12878,a(flip),b,94,a)]. 12900 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(273,a,12837,a(flip),b,12898,a),flip(a)]. 12901 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(10786(a,1),12900(a,1,2,2))]. 12902 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(273,a,12850,a,b,12901,a)]. 12903 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(12204(a,1),12864(a,1,1,1)),flip(a)]. 12904 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(273,a,11177,a,b,12903,a),flip(a)]. 12905 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(12789(a,1),12904(a,2,1))]. 12906 R(a(x,y,x),x,z) = a(x,y,x). [hyper(12794,a,12905,a),flip(a)]. 12909 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(62,a,473,a,b,12906,a)]. 12910 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9510,a,12771,a)]. 12911 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7424(a,1),12884(a,1,1,1)),flip(a)]. 12912 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12848(a,1),12911(a,2,1))]. 12913 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(273,a,5102,a,b,12912,a),flip(a)]. 12914 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5388(a,1),12913(a,1,2))]. 12915 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(8440(a,1),12887(a,1,2,2,2))]. 12916 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8808(a,1),12889(a,1,2)),flip(a)]. 12917 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(273,a,12885,a(flip),b,12916,a),flip(a)]. 12918 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(12916(a,1),7868(a,1))]. 12920 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7486(a,1),12917(a,1,1)),flip(a)]. 12921 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(11659,a,12910,a)]. 12922 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8505(a,1),12921(a,1,1)),flip(a)]. 12923 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(273,a,12846,a(flip),b,12922,a),flip(a)]. 12924 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(12854,a,12923,a(flip)),flip(a)]. 12925 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2226(a,2),12923(a,1,2,1))]. 12926 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(273,a,12885,a,b,12924,a)]. 12927 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(33,a,5163,a(flip),b,12925,a),flip(a)]. 12928 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12925(a,1),12852(a,1,1))]. 12929 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(273,a,12885,a,b,12927,a)]. 12931 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2226(a,1),12927(a,2,2))]. 12932 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12927(a,1),5163(a,2,2)),flip(a)]. 12933 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(2226(a,1),12931(a,1,1))]. 12934 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(62,a,12924,a(flip),b,12933,a)]. 12935 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(62,a,12920,a(flip),b,12934,a),flip(a)]. 12936 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6188(a,1),12926(a,1,2,2)),flip(a)]. 12937 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(12926(a,1),12918(a,1))]. 12938 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(12929(a,1),12918(a,1))]. 12939 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(12914(a,2),12938(a,1))]. 12941 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12935(a,1),11771(a,2,2))]. 12943 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5341,a,12932,a)]. 12944 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11656(a,1),12943(a,1,1))]. 12945 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(4591,a,12915,a)]. 12946 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8440(a,1),12945(a,1,1))]. 12947 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12782(a,1),12792(a,1,1))]. 12949 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12780(a,1),12947(a,1,2)),flip(a)]. 12950 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(62,a,12146,a,b,12949,a)]. 12951 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(5134(a,1),12950(a,1,1,2)),flip(a)]. 12952 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5134(a,1),12951(a,2,2))]. 12954 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(62,a,10226,a(flip),b,12844,a),flip(a)]. 12955 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(10259(a,1),12954(a,2,2))]. 12956 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(273,a,4430,a(flip),b,12955,a),flip(a)]. 12957 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(10002(a,1),12956(a,1,1,1))]. 12958 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10003(a,1),12957(a,1,1)),flip(a)]. 12960 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12958(a,1),5543(a,1))]. 12961 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(9374(a,1),12936(a,2,2))]. 12962 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(273,a,12926,a(flip),b,12961,a),flip(a)]. 12963 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6188(a,1),12962(a,1,1,2))]. 12964 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(273,a,12764,a(flip),b,12941,a),flip(a)]. 12966 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(12763(a,1),12766(a,2,2,1,1))]. 12967 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5368(a,1),12966(a,2,2,1))]. 12969 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5368(a,1),12967(a,1,1,2,1))]. 12970 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(62,a,11187,a(flip),b,12969,a)]. 12971 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(12969(a,1),469(a,1,1,1)),flip(a)]. 12972 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(12969(a,2),7052(a,1,1))]. 12973 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12969(a,1),12719(a,1,1))]. 12975 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8412(a,1),12972(a,1,1,1,2,1))]. 12976 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(12038(a,1),12909(a,1,1,1))]. 12977 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(476(a,1),12976(a,1,1))]. 12978 (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12105(a,1),12899(a,1,1))]. 12979 (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). [para(6086(a,1),12978(a,1,1))]. 12981 L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. [para(12979(a,1),288(a,1))]. 12983 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6570,a,12973,a)]. 12985 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5388(a,1),12983(a,1,2))]. 12986 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(62,a,12963,a(flip),b,12985,a)]. 12987 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(12939,a,12986,a),flip(a)]. 12988 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(9372(a,1),12975(a,1,1,1,2))]. 12989 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(12946(a,1),12988(a,1,1,1))]. 12990 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5469(a,1),5651(a,1,1))]. 12991 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5469(a,1),12990(a,1,2,1,1)),flip(a)]. 12992 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5368(a,1),12991(a,2,2,1))]. 12993 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6172(a,1),12992(a,2,2))]. 12994 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5112(a,1),12993(a,1,1,1)),flip(a)]. 12995 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6172(a,1),12994(a,2,1,2))]. 12996 ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(6985(a,1),9766(a,1,1,2))]. 12997 (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(8121(a,1),12996(a,1,1))]. 12998 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). [para(9765(a,1),12997(a,1,2)),flip(a)]. 12999 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K((y * x) \ 1,y * x) * (1 / (x * y)). [hyper(273,a,2789,a(flip),b,12998,a),flip(a)]. 13000 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K(x \ (y \ 1),y * x) * (1 / (x * y)). [para(8082(a,1),12999(a,2,1))]. 13001 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K(x \ (y \ 1),y * x) / (x * y). [hyper(273,a,6941,a(flip),b,13000,a),flip(a)]. 13002 K(x \ (y \ 1),y * x) / (x * y) = (x * y) \ 1. [hyper(62,a,11389,a(flip),b,13001,a),flip(a)]. 13005 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(36,a,308,a,b,13002,a)]. 13006 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(12(a,1),2970(a,1,2,1))]. 13007 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(71(a,1),13006(a,1,2))]. 13009 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(290,a,13007,a),flip(a)]. 13012 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2471(a,1),13009(a,1,1))]. 13013 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(62,a,6824,a(flip),b,13012,a),flip(a)]. 13014 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(273,a,5039,a(flip),b,13013,a),flip(a)]. 13015 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(273,a,7222,a(flip),b,13014,a),flip(a)]. 13016 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(13014(a,2),6825(a,1,1))]. 13017 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1015(a,1),13015(a,1,2))]. 13018 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(129,a,13017,a)]. 13019 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(13017(a,1),5155(a,2,1)),flip(a)]. 13020 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(13018(a,1),7045(a,1,2,2,1)),flip(a)]. 13021 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(273,a,8458,a,b,13019,a),flip(a)]. 13022 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(13019(a,2),9423(a,1))]. 13029 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(7460(a,2),9638(a,2,2))]. 13030 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(7704(a,1),13029(a,2,2))]. 13031 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [hyper(273,a,8265,a(flip),b,13030,a),flip(a)]. 13034 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(273,a,9725,a(flip),b,13031,a),flip(a)]. 13035 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(7476(a,1),13034(a,2,2))]. 13036 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(8528(a,1),13035(a,1,2))]. 13037 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(8239,a,13036,a)]. 13040 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(13037(a,1),9575(a,1))]. 13041 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(11881(a,1),9560(a,1,1))]. 13042 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(8440(a,1),12882(a,1,1,3,1))]. 13043 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6567(a,1),12890(a,1,2,1))]. 13044 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3990(a,1),13043(a,1,2,2)),flip(a)]. 13045 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8846(a,1),13044(a,2,2))]. 13046 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(9(a,1),13045(a,2,2,1))]. 13047 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(12287(a,1),13046(a,1,1,2))]. 13048 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7715(a,1),13047(a,1,1))]. 13050 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(12287(a,1),13048(a,1,2,1))]. 13051 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5722(a,1),13050(a,1,2))]. 13052 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8855(a,1),13051(a,1,2))]. 13053 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6849(a,1),13052(a,1,2)),flip(a)]. 13054 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(273,a,7738,a,b,13053,a),flip(a)]. 13056 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9220(a,1),13041(a,1,1,2))]. 13057 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8440(a,1),13056(a,1,1))]. 13059 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7851(a,1),13057(a,1,1,2))]. 13060 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(9(a,1),13059(a,1,1,2,1,2))]. 13061 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8443(a,1),13060(a,1,1))]. 13062 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8499(a,1),13061(a,1,1))]. 13063 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(8486(a,1),13062(a,1,1))]. 13064 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8440(a,1),13063(a,1,1))]. 13065 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10783(a,1),13064(a,1,2))]. 13066 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(9133,a,13065,a)]. 13067 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7501(a,1),13066(a,1,2,1))]. 13068 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(33,a,11596,a(flip),b,13067,a),flip(a)]. 13070 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(8005(a,1),13042(a,1,1,3))]. 13071 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7487(a,2),13070(a,1,1,3))]. 13073 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(8440(a,1),13071(a,1,2,1,1))]. 13074 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(12772(a,1),13073(a,1,2))]. 13075 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(8440(a,1),13074(a,2,2,1))]. 13076 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(8005(a,1),13075(a,2,2))]. 13077 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7487(a,2),13076(a,2,2))]. 13079 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(9478(a,1),13077(a,1,1))]. 13080 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(62,a,12768,a(flip),b,13079,a),flip(a)]. 13081 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(62,a,2231,a(flip),b,13080,a)]. 13082 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(7460(a,2),13081(a,1,2))]. 13083 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(6720(a,1),4691(a,1,1,1))]. 13084 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(5827(a,1),13083(a,1,1)),flip(a)]. 13085 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(5127(a,1),13084(a,2,1))]. 13086 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(273,a,6353,a(flip),b,13085,a),flip(a)]. 13087 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(7769(a,1),13086(a,1,2,1))]. 13088 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(3138(a,1),13087(a,1,2))]. 13089 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(9655(a,1),13088(a,1,2)),flip(a)]. 13091 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(13089(a,1),11410(a,1,1,1)),flip(a)]. 13092 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3876(a,1),13091(a,1,1)),flip(a)]. 13093 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(273,a,9086,a(flip),b,13092,a),flip(a)]. 13094 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(273,a,11518,a(flip),b,13093,a),flip(a)]. 13095 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(62,a,6158,a(flip),b,13094,a)]. 13096 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(62,a,10691,a(flip),b,13095,a)]. 13097 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(62,a,12247,a(flip),b,13096,a),flip(a)]. 13100 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(13096(a,1),5833(a,1,2,1,2))]. 13108 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(62,a,9784,a(flip),b,13100,a),flip(a)]. 13109 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(62,a,13097,a,b,13108,a)]. 13110 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(27(a,2),13109(a,1,2))]. 13111 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(62,a,7062,a(flip),b,13110,a)]. 13112 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(273,a,7283,a(flip),b,13111,a),flip(a)]. 13113 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(62,a,9003,a(flip),b,13112,a)]. 13114 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(2140(a,1),13113(a,2,2,1))]. 13115 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(13114(a,1),11797(a,1,1,2))]. 13116 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5822(a,1),13115(a,1,1))]. 13117 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5626(a,1),13116(a,1,1,1,2))]. 13118 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(62,a,27,a,b,13117,a)]. 13119 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5568(a,1),13118(a,1,1)),flip(a)]. 13120 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(62,a,11795,a(flip),b,13119,a)]. 13121 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(13119(a,1),12022(a,1,2))]. 13122 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(13120(a,1),476(a,1,1)),flip(a)]. 13123 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(273,a,104,a(flip),b,13122,a),flip(a)]. 13124 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10649(a,1),13123(a,1,1,1)),flip(a)]. 13125 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(13123(a,1),12977(a,1,1))]. 13127 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(13125(a,1),12819(a,1))]. 13128 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(62,a,12409,a(flip),b,13121,a),flip(a)]. 13129 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(320(a,1),13128(a,1,2,3))]. 13130 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12799,a,13129,a)]. 13131 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(13127,a,13130,a)]. 13132 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(62,a,12406,a(flip),b,13130,a),flip(a)]. 13133 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(10(a,1),13131(a,1,2)),flip(a)]. 13134 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(13133(a,1),10604(a,1,2)),flip(a)]. 13135 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(13133(a,1),10614(a,1,2)),flip(a)]. 13136 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(62,a,10649,a(flip),b,13134,a),flip(a)]. 13137 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(13132(a,1),12394(a,1,1))]. 13138 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(62,a,11952,a(flip),b,13137,a)]. 13139 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12131(a,1),13136(a,1,2,1)),flip(a)]. 13140 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(273,a,13135,a,b,13139,a),flip(a)]. 13142 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(13140(a,1),13124(a,2,1,1))]. 13148 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(10271(a,1),6340(a,1,1)),flip(a)]. 13149 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(273,a,7737,a,b,13148,a),flip(a)]. 13151 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5178(a,1),13149(a,2,1))]. 13152 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(10271(a,1),6341(a,1,1)),flip(a)]. 13153 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(273,a,7737,a,b,13152,a),flip(a)]. 13155 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5178(a,1),13153(a,2,1))]. 13156 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(273,a,10333,a(flip),b,13155,a),flip(a)]. 13157 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4309(a,2),13156(a,1,2))]. 13158 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(10267(a,1),13157(a,1,2,1))]. 13159 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4300(a,2),13158(a,1,2,1))]. 13161 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(9770(a,1),12012(a,1,1,1))]. 13162 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(12893(a,1),13161(a,1,2)),flip(a)]. 13163 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(273,a,13005,a(flip),b,13162,a),flip(a)]. 13164 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12829(a,1),12888(a,2,1,1))]. 13165 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6180(a,1),7800(a,1,1,1))]. 13166 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6230(a,1),13165(a,1,1)),flip(a)]. 13167 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(273,a,9659,a(flip),b,13166,a),flip(a)]. 13169 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6180(a,1),13167(a,1,1))]. 13170 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(62,a,11314,a,b,13169,a)]. 13171 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6180(a,1),13170(a,1,2,1))]. 13172 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9377(a,1),13171(a,1,2))]. 13173 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(8018(a,1),13172(a,1,2,2))]. 13175 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(8021(a,1),13173(a,1,2,2))]. 13176 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(8451,a,13175,a),flip(a)]. 13178 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(12556,a,13176,a)]. 13179 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7603,a,13176,a)]. 13180 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(8801,a,13178,a),flip(a)]. 13182 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(13178(a,2),10554(a,1,2))]. 13183 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(273,a,12846,a(flip),b,13179,a),flip(a)]. 13184 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(601(a,1),13179(a,1,2,2)),flip(a)]. 13185 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(13180(a,1),11685(a,1,2))]. 13186 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(62,a,12696,a(flip),b,13184,a),flip(a)]. 13188 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(8542(a,1),13186(a,1,2)),flip(a)]. 13189 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8569(a,1),13188(a,1,2)),flip(a)]. 13190 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(10016,a,13189,a),flip(a)]. 13191 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(5705(a,1),13189(a,1,2)),flip(a)]. 13192 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(9002,a,13191,a),flip(a)]. 13193 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(13192(a,1),5289(a,1,1))]. 13194 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(10027,a,13190,a),flip(a)]. 13195 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8920,a,13194,a)]. 13196 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(273,a,5163,a(flip),b,13195,a),flip(a)]. 13198 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5238,a,13196,a)]. 13199 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(62,a,12848,a(flip),b,13183,a)]. 13200 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(2226(a,1),13199(a,1,2)),flip(a)]. 13201 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(62,a,12850,a,b,13200,a)]. 13202 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(273,a,5163,a(flip),b,13201,a)]. 13203 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(33,a,5163,a(flip),b,13202,a)]. 13204 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(62,a,12987,a,b,13203,a)]. 13205 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(273,a,12897,a(flip),b,13204,a),flip(a)]. 13206 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [hyper(6570,a,13205,a)]. 13208 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(5388(a,1),13206(a,1,2))]. 13209 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(13208(a,1),5298(a,1,1))]. 13210 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(12970(a,1),13209(a,1,2))]. 13211 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(117,a,13210,a)]. 13212 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8457(a,1),13210(a,1,2,1))]. 13213 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5423,a,13211,a)]. 13214 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6172(a,1),13211(a,1,2))]. 13215 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(13211(a,1),7052(a,1,1)),flip(a)]. 13217 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9553(a,1),13211(a,1,2))]. 13218 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(13211(a,1),9393(a,2,2))]. 13219 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(13211(a,1),12643(a,1,1,2))]. 13220 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(13211(a,1),12902(a,2,2))]. 13221 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(13211(a,1),12963(a,1,1)),flip(a)]. 13222 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(13213(a,1),11529(a,1,1)),flip(a)]. 13223 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(13217(a,1),5500(a,1,2)),flip(a)]. 13224 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5423,a,13215,a)]. 13225 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(62,a,12342,a,b,13218,a)]. 13226 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(62,a,9009,a,b,13218,a)]. 13227 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(13211(a,1),13219(a,1,2))]. 13229 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(115,a,109,a(flip),b,13227,a)]. 13230 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(12937,a,13221,a)]. 13232 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(13221(a,1),12937(a,1))]. 13233 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(7497,a,13223,a)]. 13234 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(62,a,12112,a(flip),b,13224,a)]. 13235 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(13230(a,1),12989(a,1,1,1))]. 13236 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(13233(a,2),42(a,1))]. 13237 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(62,a,12995,a(flip),b,13214,a)]. 13238 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9373(a,1),13212(a,1,2,2))]. 13239 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12946(a,1),13238(a,1,2))]. 13240 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9568(a,1),13234(a,1,2))]. 13241 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5641,a,13240,a)]. 13243 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(273,a,10329,a,b,13241,a),flip(a)]. 13244 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(9(a,1),13225(a,1,2,1,2,1))]. 13246 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6737(a,1),13244(a,1,2))]. 13247 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6600(a,2),13246(a,1,1))]. 13248 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6623(a,1),13247(a,1,2))]. 13249 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(10994(a,1),13185(a,1,2,2))]. 13250 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(10969(a,1),13249(a,2,2))]. 13252 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(10010(a,1),13250(a,1,2))]. 13253 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(273,a,13226,a(flip),b,13222,a),flip(a)]. 13254 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(345(a,1),13235(a,1,1)),flip(a)]. 13255 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(273,a,9571,a(flip),b,13254,a),flip(a)]. 13256 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8412(a,1),13255(a,1,2,1,1))]. 13257 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9372(a,1),13256(a,1,2,1))]. 13258 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5173(a,2),13257(a,1,2))]. 13259 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(62,a,13176,a,b,13258,a)]. 13260 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8446(a,1),13259(a,1,1))]. 13261 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(62,a,12837,a(flip),b,13260,a)]. 13262 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(62,a,13220,a(flip),b,13261,a),flip(a)]. 13263 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(33,a,5163,a(flip),b,13262,a),flip(a)]. 13264 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(13232,a,13263,a)]. 13265 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(13264(a,1),13239(a,1,2))]. 13266 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(117,a,13265,a),flip(a)]. 13267 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(273,a,13263,a,b,13266,a),flip(a)]. 13268 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8440(a,1),13266(a,1,1))]. 13269 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8440(a,1),13267(a,1,1))]. 13270 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8412(a,1),13193(a,1,2,1,2))]. 13271 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8750(a,1),13270(a,1,2,1,2))]. 13272 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8452(a,1),13271(a,1,2,1,2))]. 13273 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8521(a,1),13272(a,1,2,1,2))]. 13274 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5346(a,2),13273(a,1,2,1))]. 13275 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(62,a,5544,a,b,13274,a)]. 13276 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(8766(a,1),13275(a,1,1)),flip(a)]. 13277 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6358(a,1),13276(a,2,2))]. 13278 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(273,a,8483,a(flip),b,13277,a),flip(a)]. 13279 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(12113(a,1),12117(a,2,2,1,1))]. 13280 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(273,a,1328,a(flip),b,13279,a),flip(a)]. 13281 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(1705(a,1),13280(a,2,2))]. 13282 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(802(a,1),13281(a,2,2,1))]. 13283 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(1070(a,1),13282(a,2,2,1,2))]. 13284 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(1328(a,1),13283(a,1,1))]. 13285 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(273,a,9649,a(flip),b,7808,a),flip(a)]. 13286 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(273,a,8443,a(flip),b,13285,a),flip(a)]. 13287 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = K(x * y,1 / x) * ((1 / x) * (y * x)). [para(4544(a,1),11286(a,1,2)),flip(a)]. 13288 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * (K(x * y,1 / x) * (y * x)). [hyper(273,a,4584,a(flip),b,13287,a),flip(a)]. 13290 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3397(a,1),7795(a,1,1,1,2))]. 13291 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(273,a,9,a(flip),b,12971,a),flip(a)]. 13293 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12969(a,1),13291(a,1,3))]. 13295 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(13211(a,1),13293(a,1,3))]. 13296 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [hyper(1095,a,13295,a),flip(a)]. 13298 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(62,a,13253,a(flip),b,13296,a),flip(a)]. 13299 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5387(a,1),13298(a,1,2))]. 13300 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8541(a,1),13299(a,1,1,1)),flip(a)]. 13301 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(213,a,13300,a),flip(a)]. 13303 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4776(a,1),13290(a,1,1,1))]. 13304 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(107(a,1),13303(a,1,1,1)),flip(a)]. 13308 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3397(a,1),13304(a,2,1,3,2))]. 13309 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(9(a,1),13308(a,2,1,3))]. 13313 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4789(a,1),13309(a,2,1))]. 13314 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(74(a,1),13313(a,1,1,1,1,2))]. 13316 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3397(a,1),13314(a,1,1,2))]. 13317 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(62,a,6043,a(flip),b,13316,a)]. 13319 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(22(a,2),13317(a,1,1,1,1)),flip(a)]. 13320 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10452(a,1),13319(a,2,1,1))]. 13321 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(273,a,7500,a(flip),b,13320,a),flip(a)]. 13322 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(22(a,2),13321(a,1,1,3))]. 13323 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7501(a,1),13322(a,2,1))]. 13324 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(62,a,6843,a(flip),b,13323,a)]. 13325 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13324(a,1),8393(a,2,2))]. 13326 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13324(a,1),9062(a,2,2))]. 13327 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(273,a,94,a(flip),b,13325,a),flip(a)]. 13328 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7476(a,1),13327(a,2,2))]. 13329 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(62,a,8306,a(flip),b,13328,a)]. 13330 K(x * y,z) * x = x * K(y * x,z). [hyper(33,a,12635,a(flip),b,13329,a(flip)),flip(a)]. 13332 K(x * y,T(z,x)) = K(y * x,z). [hyper(7566,a,13330,a)]. 13333 K(x * y,T(z,y)) = K(y * x,z). [hyper(34,a,8548,a,b,13330,a)]. 13334 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(34,a,8899,a(flip),b,13330,a),flip(a)]. 13337 K((x \ y) * x,z) = K(y,T(z,x)). [para(10(a,1),13332(a,1,1)),flip(a)]. 13338 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(13332(a,1),5173(a,2,1)),flip(a)]. 13339 K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). [para(5698(a,2),13332(a,1,1)),flip(a)]. 13340 K(x * y,z) * y = y * K(y * x,z). [para(13332(a,1),8548(a,1,1))]. 13341 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(13332(a,1),9011(a,1,2)),flip(a)]. 13342 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13332(a,1),12741(a,1,1))]. 13344 K(x * (y / x),z) = K(y,T(z,x)). [para(12(a,1),13333(a,1,1)),flip(a)]. 13345 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(417(a,1),13333(a,1,1))]. 13346 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [para(13333(a,1),5163(a,2,2)),flip(a)]. 13348 K((x \ y) * x,T(y,z)) = 1. [hyper(273,a,241,a(flip),b,13337,a),flip(a)]. 13349 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4073(a,2),13344(a,1,1))]. 13350 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5887(a,1),13344(a,1,1,2)),flip(a)]. 13352 K(T(x \ y,x) * x,y) = 1. [hyper(273,a,13348,a(flip),b,13349,a),flip(a)]. 13353 x * K(T(y \ z,y) * y,z) = x. [para(13352(a,2),8(a,1,2))]. 13354 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1918(a,1),13334(a,1,1)),flip(a)]. 13355 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,T(1 / x,y)). [para(13338(a,1),13288(a,2,2))]. 13356 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(6619,a,13346,a)]. 13357 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [hyper(115,a,13356,a,b,4904,a)]. 13358 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(13341(a,2),8226(a,1,1))]. 13359 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(13358(a,1),7427(a,1,2)),flip(a)]. 13360 K(x,T(y * z,y)) = K(x,z * y). [hyper(7724,a,13359,a(flip))]. 13361 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8938,a,13360,a)]. 13362 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(8932,a,13360,a)]. 13364 K(x,(y \ z) * y) = K(x,T(z,y)). [para(10(a,1),13360(a,1,2,1)),flip(a)]. 13365 T(x,T(y * z,y)) = x * K(x,z * y). [para(13360(a,1),5163(a,2,2))]. 13366 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(13360(a,1),12697(a,1,2)),flip(a)]. 13368 T(x,T(y * z,y)) = T(x,z * y). [hyper(273,a,5163,a,b,13365,a),flip(a)]. 13369 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(13365(a,2),5167(a,1))]. 13379 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(10022(a,2),13369(a,1))]. 13380 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(62,a,11530,a(flip),b,13361,a),flip(a)]. 13381 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(9438,a,13366,a)]. 13382 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(13366(a,1),8472(a,1,2,2))]. 13384 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(62,a,9703,a(flip),b,13381,a),flip(a)]. 13386 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(8458(a,1),13379(a,1,1,2))]. 13387 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(8436(a,1),13379(a,1,1,2))]. 13388 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(8541(a,1),13379(a,1,1,2))]. 13389 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(62,a,11917,a(flip),b,13382,a)]. 13390 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(13389(a,1),11888(a,1,2))]. 13391 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8932,a,13345,a)]. 13392 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(12276(a,1),13342(a,1,1,1))]. 13393 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(13390(a,1),110(a,1,1)),flip(a)]. 13394 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(13390(a,1),5367(a,1,2,2)),flip(a)]. 13395 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(62,a,8747,a(flip),b,13384,a),flip(a)]. 13396 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(9438,a,13395,a)]. 13397 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(6727(a,2),13396(a,2,2))]. 13398 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(10(a,1),13357(a,1,2,2,1))]. 13399 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [hyper(6076,a,13398,a),flip(a)]. 13400 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3133(a,1),13399(a,1,1))]. 13401 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(3134(a,1),13399(a,1,1))]. 13402 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(273,a,7247,a(flip),b,13400,a),flip(a)]. 13403 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(13402(a,1),11096(a,1,1)),flip(a)]. 13404 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(77(a,1),13403(a,1,1,2,1)),flip(a)]. 13405 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(176,a,13404,a)]. 13407 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(62,a,11112,a,b,13405,a),flip(a)]. 13408 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(13407(a,1),2943(a,1,1))]. 13409 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6788(a,2),13408(a,1,1))]. 13410 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(9(a,1),13409(a,1,1,1,1)),flip(a)]. 13411 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1153,a,13410,a)]. 13412 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(12828(a,2),13411(a,2,1,1))]. 13413 ((x / y) \ T(x,y \ 1)) \ x = (x \ (y \ x)) * x. [para(13401(a,1),11093(a,1,1))]. 13414 (((x \ (x / y)) * x) \ x) \ x = (x \ (y \ x)) * x. [para(6791(a,1),13413(a,1,1))]. 13415 (((x \ y) * x) \ x) \ x = (x \ ((y \ x) \ x)) * x. [para(74(a,1),13414(a,1,1,1,1,2))]. 13416 K(x,L(y,((x \ z) * x) \ x,x / (((x \ z) * x) \ x))) = K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)). [para(13415(a,1),11101(a,2,2,3))]. 13417 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(822(a,1),13391(a,1,1))]. 13418 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(62,a,7523,a(flip),b,13417,a),flip(a)]. 13419 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),T(x * y,K(z,u))),y,x). [hyper(273,a,25,a,b,13393,a),flip(a)]. 13420 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [para(4209(a,1),13419(a,2,1))]. 13421 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7460(a,2),13420(a,2,1))]. 13422 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(64(a,1),13354(a,2,1,2,2,1,2))]. 13423 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(7(a,1),13422(a,2,1,2))]. 13425 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(13423(a,2),8952(a,1))]. 13426 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(273,a,94,a(flip),b,13326,a),flip(a)]. 13427 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7476(a,1),13426(a,2,2))]. 13428 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(108(a,1),13427(a,1,1,2,2,1))]. 13429 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8999(a,1),13428(a,1,1,2))]. 13430 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7522(a,1),13429(a,1,1))]. 13431 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(108(a,1),13430(a,1,2,1,1,1))]. 13433 L(T(K(x * y,z) * y,x),u,K(u,w)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13431(a,1),5757(a,2,2))]. 13434 L(T(K(x * y,z) * y,x),u,K(u,w)) = K(y,x) * (K(y * x,z) * y). [hyper(273,a,5517,a(flip),b,13433,a),flip(a)]. 13435 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4890,a,13434,a)]. 13436 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(62,a,8893,a(flip),b,13435,a),flip(a)]. 13437 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13436(a,2),13252(a,1,1))]. 13438 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13340(a,1),13437(a,1,1,1))]. 13439 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6240(a,2),13438(a,1,2,2))]. 13440 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(18(a,2),13397(a,1,2,2,2)),flip(a)]. 13441 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,1 / x). [para(11701(a,1),13355(a,2,2))]. 13442 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (y * x) * (1 / x). [hyper(273,a,108,a(flip),b,13441,a),flip(a)]. 13443 (x * y) * (((1 / x) * (y * x)) / (x * y)) = (y * x) * (1 / x). [para(4544(a,1),13442(a,1,2,1))]. 13444 (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). [para(10813(a,1),13443(a,1,2))]. 13445 (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). [para(1668(a,1),13444(a,2,1))]. 13446 (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). [hyper(524,a,13445,a)]. 13448 (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). [para(4230(a,2),13446(a,1,2,2))]. 13449 K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,((x \ z) * x) \ x,(x \ z) * x)). [para(74(a,1),13416(a,1,2,3)),flip(a)]. 13451 K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,(x \ z) * x)). [hyper(273,a,10828,a(flip),b,13449,a),flip(a)]. 13452 K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,z)). [hyper(273,a,10635,a(flip),b,13451,a),flip(a)]. 13453 K(x,L(y,z \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,z)). [hyper(62,a,10828,a(flip),b,13452,a)]. 13454 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(9508(a,1),13412(a,1,1)),flip(a)]. 13455 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(273,a,12828,a(flip),b,13454,a),flip(a)]. 13457 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(273,a,5163,a,b,13455,a),flip(a)]. 13458 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(12775(a,1),13457(a,1,1,1))]. 13459 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(62,a,13164,a,b,13458,a)]. 13460 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12829(a,1),13459(a,1,2,1,1))]. 13461 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8816(a,1),13460(a,1,2,1))]. 13462 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8458(a,1),13461(a,1,2,1))]. 13464 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12829(a,1),13462(a,1,2,2,1))]. 13465 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8816(a,1),13464(a,1,2,2))]. 13467 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12945(a,1),13465(a,1,2))]. 13468 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(62,a,12829,a(flip),b,13467,a)]. 13469 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(62,a,12964,a,b,13468,a)]. 13470 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(62,a,12944,a(flip),b,13469,a)]. 13471 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5837(a,1),13392(a,1,1))]. 13472 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(10(a,1),13471(a,1,2,2,1,2))]. 13474 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9288(a,1),13472(a,1,2))]. 13475 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(169(a,1),13394(a,2,2))]. 13476 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(273,a,5157,a,b,13475,a),flip(a)]. 13478 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(273,a,8443,a,b,13476,a),flip(a)]. 13479 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(13421(a,1),13478(a,1,2))]. 13480 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(11898,a,13479,a)]. 13481 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(9429,a,13480,a)]. 13482 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(62,a,7541,a(flip),b,13481,a)]. 13484 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(5356(a,1),13482(a,1,2))]. 13485 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12829(a,1),12853(a,1,2,1,1))]. 13486 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11656(a,1),13485(a,1,2,1))]. 13487 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8505(a,1),13486(a,1,2,1,1))]. 13488 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12837(a,1),13487(a,1,2,1))]. 13489 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12928(a,1),13488(a,1,2)),flip(a)]. 13490 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(273,a,12943,a(flip),b,13489,a),flip(a)]. 13491 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12829(a,1),13490(a,1,2))]. 13492 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(62,a,13470,a(flip),b,13491,a)]. 13493 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(62,a,12872,a(flip),b,13492,a)]. 13494 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(62,a,9546,a(flip),b,13493,a)]. 13495 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(13494(a,1),12841(a,1,1)),flip(a)]. 13496 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(62,a,11305,a(flip),b,13495,a),flip(a)]. 13497 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12875(a,1),13496(a,1,1)),flip(a)]. 13499 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(13497(a,1),13142(a,2,1))]. 13500 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13133(a,1),13499(a,2,1,1))]. 13502 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7952(a,1),13500(a,1,1,1))]. 13504 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12145(a,1),13502(a,1,1))]. 13505 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12101(a,1),13504(a,1,1)),flip(a)]. 13506 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(13505(a,1),471(a,1,2))]. 13507 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(11270,a,13506,a),flip(a)]. 13508 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12782(a,1),13507(a,2,2))]. 13510 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(273,a,12788,a(flip),b,13508,a),flip(a)]. 13512 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(51,a,13510,a)]. 13513 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(13512(a,1),11092(a,1,2))]. 13514 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12832(a,1),13513(a,1,1,2,1))]. 13515 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(483,a,13514,a),flip(a)]. 13517 R(a(x,y,x),z,u) = a(x,y,x). [hyper(33,a,12779,a(flip),b,13515,a),flip(a)]. 13519 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(62,a,473,a,b,13517,a)]. 13521 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(62,a,13131,a(flip),b,13517,a)]. 13522 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(62,a,12952,a(flip),b,13517,a),flip(a)]. 13523 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(13517(a,1),104(a,1,1)),flip(a)]. 13525 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(13517(a,1),12071(a,1,1,1)),flip(a)]. 13526 L(x,y,a(z,u,z)) = x. [para(13517(a,1),13512(a,1,3))]. 13528 L(x,y,a(z,u,z)) != w | x = w. [para(13526(a,1),49(a,2))]. 13529 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(13526(a,1),506(a,1,2))]. 13530 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(13526(a,1),445(a,1,2,1)),flip(a)]. 13533 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(13521(a,1),12378(a,1,1)),flip(a)]. 13534 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(13521(a,1),13138(a,1,2)),flip(a)]. 13535 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(12031(a,2),13533(a,2,1))]. 13538 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5819(a,1),13522(a,1,2)),flip(a)]. 13539 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(13523(a,1),14(a,2,1)),flip(a)]. 13540 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12779(a,1),13523(a,1,1))]. 13541 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(10(a,1),13529(a,1,1)),flip(a)]. 13542 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(273,a,11871,a(flip),b,13535,a),flip(a)]. 13544 L(x,y,L(x,z,u)) = L(x,y,x). [para(341(a,1),13542(a,1,3)),flip(a)]. 13545 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(13544(a,1),30(a,1,1)),flip(a)]. 13546 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(273,a,12879,a(flip),b,13540,a),flip(a)]. 13547 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(122,a,13541,a),flip(a)]. 13548 L(x,a(y,z,y),z) = x. [hyper(450,a,13546,a)]. 13549 L(x,K(y,z),z \ y) = x. [hyper(12981,a,13548,a)]. 13550 L(x,K(y,z),y / z) = x. [hyper(10642,a,13549,a)]. 13553 L(x,K(y * z,z),y) = x. [para(11(a,1),13550(a,1,3))]. 13554 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [hyper(1095,a,13553,a),flip(a)]. 13555 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(13545(a,1),12867(a,1,1,2))]. 13556 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(273,a,12069,a(flip),b,13534,a),flip(a)]. 13558 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(11998,a,13556,a),flip(a)]. 13560 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(62,a,11141,a(flip),b,13558,a)]. 13561 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(62,a,12579,a(flip),b,13560,a)]. 13563 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(62,a,10548,a,b,13561,a)]. 13564 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(62,a,8133,a(flip),b,13561,a)]. 13566 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(62,a,7794,a(flip),b,13563,a)]. 13568 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(273,a,11443,a(flip),b,13564,a),flip(a)]. 13569 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(62,a,10151,a,b,13568,a)]. 13570 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(62,a,10155,a(flip),b,13568,a)]. 13572 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(1078(a,1),13569(a,1,2,2))]. 13574 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [hyper(62,a,10565,a,b,13570,a)]. 13575 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(13574(a,1),9359(a,1,2))]. 13576 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(273,a,11448,a(flip),b,13572,a),flip(a)]. 13577 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(10(a,1),13576(a,1,2,2,2,1))]. 13578 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(10858,a,13577,a),flip(a)]. 13579 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12805(a,1),13519(a,1,1,1))]. 13580 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(22(a,2),13578(a,1,2,2,1))]. 13581 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(62,a,10546,a(flip),b,13580,a),flip(a)]. 13582 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(273,a,7123,a(flip),b,13581,a),flip(a)]. 13583 L(K(x,y),z,y) != u | K(x,y) = u. [para(13582(a,1),11027(a,1))]. 13587 K(x,L(y,z,y)) != u | K(x,y) = u. [para(7121(a,1),13583(a,1))]. 13588 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(4394(a,1),13587(a,1,2))]. 13589 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(7460(a,1),13588(a,1))]. 13592 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(62,a,12180,a(flip),b,13538,a)]. 13593 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(104(a,1),13579(a,1,1))]. 13594 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(13546(a,1),13593(a,1,1,1))]. 13595 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(10(a,1),13594(a,1,2,1))]. 13596 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(12880(a,1),13595(a,1,1,1)),flip(a)]. 13597 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(273,a,20,a,b,13596,a),flip(a)]. 13598 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(9(a,1),13597(a,1,2,2)),flip(a)]. 13599 a(x,R(y,z,u),x) = a(x,y,x). [hyper(62,a,13517,a(flip),b,13598,a),flip(a)]. 13601 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(13599(a,1),12056(a,1,1))]. 13602 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(13599(a,1),12084(a,1,1)),flip(a)]. 13603 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(273,a,12084,a(flip),b,13602,a),flip(a)]. 13604 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(13603(a,1),13159(a,1,2))]. 13605 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(12811,a,13601,a)]. 13606 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(13605(a,2),4218(a,1,1))]. 13607 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(716(a,1),13604(a,1,2)),flip(a)]. 13609 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(13607(a,1),5108(a,2,2)),flip(a)]. 13610 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(62,a,13054,a(flip),b,13609,a)]. 13611 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(13217(a,1),13610(a,1,1))]. 13612 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(62,a,13301,a,b,13611,a),flip(a)]. 13613 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(159(a,1),13612(a,2,1,2))]. 13614 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(62,a,4562,a,b,13613,a)]. 13615 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(12(a,1),13613(a,1,1))]. 13616 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(62,a,10390,a(flip),b,13615,a)]. 13617 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(62,a,13380,a(flip),b,13616,a)]. 13618 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5373(a,1),13617(a,2,1))]. 13619 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(62,a,12141,a(flip),b,13606,a)]. 13620 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(13613(a,1),13614(a,1,1))]. 13621 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(10455(a,1),13575(a,1,1))]. 13622 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(13523(a,1),13530(a,2,1))]. 13623 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(273,a,13529,a(flip),b,13622,a),flip(a)]. 13624 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(20(a,2),13623(a,2,2))]. 13625 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(13526(a,1),13624(a,1,2))]. 13626 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(13625(a,2),13284(a,1,1,2))]. 13627 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(13523(a,1),13539(a,1,2,1))]. 13628 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5324(a,1),13592(a,2,2))]. 13629 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(12065,a,13628,a)]. 13630 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(13523(a,1),13627(a,1,2))]. 13631 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(746,a,13630,a)]. 13632 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(13528,a,13631,a),flip(a)]. 13634 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(12058(a,1),13632(a,1,1))]. 13635 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(12070(a,1),13632(a,1,1))]. 13636 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(12068(a,1),13632(a,1,1))]. 13637 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(10(a,1),13634(a,1,1,1)),flip(a)]. 13638 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(7846(a,2),13636(a,2,1)),flip(a)]. 13639 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(62,a,13618,a,b,13637,a)]. 13640 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(6124(a,1),13637(a,1,1))]. 13641 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(62,a,6731,a(flip),b,13639,a)]. 13642 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(62,a,6481,a(flip),b,13639,a)]. 13643 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(6380(a,1),13638(a,2,1))]. 13644 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(273,a,13640,a(flip),b,13643,a),flip(a)]. 13645 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(107(a,1),13644(a,1,1,1,2))]. 13646 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(62,a,13635,a(flip),b,13645,a),flip(a)]. 13647 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(62,a,13214,a,b,13646,a)]. 13648 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(3635(a,1),13646(a,1,1)),flip(a)]. 13649 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(6173(a,1),13646(a,1,1))]. 13650 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11108(a,2),13648(a,2,1)),flip(a)]. 13651 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(62,a,13646,a(flip),b,13649,a)]. 13652 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(62,a,13646,a(flip),b,13651,a),flip(a)]. 13653 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(62,a,13237,a,b,13652,a)]. 13654 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(62,a,13646,a(flip),b,13652,a)]. 13655 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6194(a,1),13650(a,2,1))]. 13656 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(273,a,13648,a(flip),b,13655,a),flip(a)]. 13657 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11108(a,1),13656(a,1,1))]. 13658 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(273,a,13654,a(flip),b,13657,a),flip(a)]. 13659 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13647(a,1),13653(a,1,1)),flip(a)]. 13660 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(273,a,13620,a(flip),b,13659,a),flip(a)]. 13661 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(62,a,13658,a(flip),b,13660,a)]. 13662 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13198(a,1),13566(a,1,1))]. 13663 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8782(a,1),13662(a,1,1,2))]. 13664 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(7471(a,1),13663(a,1,1)),flip(a)]. 13665 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(273,a,10787,a(flip),b,13664,a),flip(a)]. 13667 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(466(a,1),13665(a,1,2,1,1)),flip(a)]. 13668 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(62,a,6190,a(flip),b,13667,a)]. 13669 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(62,a,8043,a(flip),b,13668,a),flip(a)]. 13671 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(62,a,10854,a(flip),b,13669,a)]. 13672 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(66(a,1),13671(a,1,2,2))]. 13673 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(62,a,6202,a(flip),b,13672,a)]. 13675 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(13673(a,2),5368(a,1,1))]. 13676 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6231,a,13675,a)]. 13677 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(232(a,2),13676(a,2,2)),flip(a)]. 13678 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(62,a,13362,a,b,13677,a)]. 13679 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(62,a,8614,a(flip),b,13678,a),flip(a)]. 13680 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(62,a,13676,a(flip),b,13679,a)]. 13681 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(62,a,11676,a,b,13680,a)]. 13682 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(489(a,1),13680(a,1,2)),flip(a)]. 13683 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13680(a,1),12658(a,1,2))]. 13684 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(2721(a,1),13683(a,1,2,2))]. 13685 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(13684(a,1),12703(a,2,2))]. 13686 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(8443(a,2),13685(a,2,2))]. 13688 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(11880,a,13682,a)]. 13689 K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). [para(11(a,1),13688(a,1,1,2)),flip(a)]. 13690 K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). [hyper(7933,a,13689,a)]. 13691 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [hyper(273,a,9864,a(flip),b,13690,a),flip(a)]. 13694 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(13691(a,1),12521(a,1,3)),flip(a)]. 13695 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(62,a,12522,a(flip),b,13694,a),flip(a)]. 13696 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6485(a,1),13695(a,1,3))]. 13697 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(10(a,1),13626(a,1,1,2,1)),flip(a)]. 13698 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13697(a,1),13642(a,1,1))]. 13699 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(9(a,1),13698(a,1,2))]. 13700 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5189,a,13699,a),flip(a)]. 13702 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13700(a,1),13268(a,2,2))]. 13703 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5073(a,1),13641(a,1,1))]. 13704 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(9(a,1),13703(a,1,2,2))]. 13706 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(12804(a,1),13525(a,2,1))]. 13708 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(645(a,1),13706(a,2,1,2,1))]. 13709 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5141(a,1),13708(a,2,1))]. 13710 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(273,a,18,a,b,13709,a),flip(a)]. 13711 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(13517(a,1),13710(a,1,3))]. 13712 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(13528,a,13711,a),flip(a)]. 13715 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(10(a,1),13712(a,1,3,1)),flip(a)]. 13716 L(x,y / z,K(y,z)) = x. [hyper(7551,a,13715,a)]. 13717 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(13716(a,1),5628(a,1,2)),flip(a)]. 13718 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5423,a,13717,a)]. 13719 R(K(x,y),x \ y,z) = K(x,y). [hyper(9561,a,13718,a)]. 13720 R(K(x,x * y),y,z) = K(x,x * y). [para(9(a,1),13719(a,1,2))]. 13722 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(62,a,10917,a,b,13720,a)]. 13723 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(13720(a,1),10920(a,2,2))]. 13725 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(273,a,5163,a,b,13723,a),flip(a)]. 13727 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(62,a,4806,a(flip),b,13725,a)]. 13728 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(12(a,1),13727(a,1,2,1,2))]. 13729 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(62,a,10181,a,b,13728,a)]. 13730 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(273,a,5163,a(flip),b,13729,a)]. 13731 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(33,a,9236,a,b,13730,a)]. 13732 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(33,a,5163,a(flip),b,13730,a)]. 13733 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6566,a,13731,a)]. 13734 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(62,a,9362,a,b,13731,a)]. 13735 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(13732(a,1),8615(a,1,1,2))]. 13736 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(20(a,2),13733(a,1,2,1)),flip(a)]. 13737 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(13733(a,1),6845(a,1,1))]. 13738 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(13733(a,1),8226(a,1,1,2))]. 13739 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(8240,a,13738,a),flip(a)]. 13740 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(20(a,2),13739(a,1,1,1)),flip(a)]. 13741 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(2826(a,1),13739(a,2,1,2))]. 13742 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(11447(a,1),13734(a,1,2))]. 13743 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(62,a,13621,a(flip),b,13742,a)]. 13744 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(62,a,11938,a(flip),b,13743,a),flip(a)]. 13745 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(62,a,13736,a(flip),b,13744,a),flip(a)]. 13746 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(62,a,12191,a(flip),b,13745,a),flip(a)]. 13747 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8734,a,13735,a),flip(a)]. 13748 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(62,a,9100,a(flip),b,13747,a)]. 13749 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10275,a,13748,a)]. 13750 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(13749(a,1),13474(a,1,2))]. 13751 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(62,a,6845,a(flip),b,13737,a),flip(a)]. 13752 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(11(a,1),13741(a,1,1,1)),flip(a)]. 13753 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [hyper(273,a,5686,a(flip),b,13752,a),flip(a)]. 13755 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(8928(a,1),13750(a,1,2)),flip(a)]. 13756 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(273,a,5493,a(flip),b,13755,a),flip(a)]. 13763 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5372(a,1),6311(a,1,1,1,2))]. 13764 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(6885(a,1),13763(a,1,1,1))]. 13765 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1419(a,1),13764(a,1,2))]. 13766 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(734,a,13765,a),flip(a)]. 13767 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1419(a,1),13766(a,1,1))]. 13768 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(62,a,12410,a,b,13767,a)]. 13769 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(12028(a,1),13768(a,2,1))]. 13770 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(273,a,12164,a(flip),b,13769,a),flip(a)]. 13771 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(12131(a,1),13770(a,1,2))]. 13773 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13771(a,1),11592(a,1,1))]. 13775 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(13773(a,1),288(a,1))]. 13777 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(5952(a,1),9652(a,1,1,1))]. 13778 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(599(a,1),11341(a,1,1))]. 13779 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(5153(a,1),13778(a,1,1,1,2))]. 13780 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(62,a,5983,a(flip),b,13779,a),flip(a)]. 13781 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2172(a,1),13780(a,1,1,2))]. 13782 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(822(a,1),13781(a,1,1,2,1,2))]. 13783 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1514(a,1),13782(a,1,1,2,1,2))]. 13784 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(199(a,1),13783(a,1,1,2))]. 13785 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(524,a,13784,a),flip(a)]. 13787 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(6375,a,13785,a),flip(a)]. 13790 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(110(a,1),13785(a,2,1))]. 13791 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(13787(a,1),7601(a,1,1))]. 13793 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(6104,a,13790,a)]. 13794 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [hyper(131,a,13793,a)]. 13795 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9(a,1),13794(a,1,2,1)),flip(a)]. 13796 R(x,y,K(x \ 1,z)) = x. [hyper(7295,a,13795,a)]. 13797 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6304,a,13795,a)]. 13799 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(13796(a,1),27(a,2,1))]. 13801 R(x \ 1,y,K(x,z)) = x \ 1. [para(3109(a,1),13796(a,1,3))]. 13802 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(13801(a,1),104(a,1,1)),flip(a)]. 13804 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(13797(a,1),8226(a,1,1,2)),flip(a)]. 13805 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(62,a,6102,a(flip),b,13799,a),flip(a)]. 13807 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(115,a,13805,a(flip),b,5163,a(flip)),flip(a)]. 13810 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7561(a,1),13805(a,1,2))]. 13812 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(273,a,5111,a,b,13807,a),flip(a)]. 13813 K(x,y / K(x \ 1,z)) = K(x,y). [para(12(a,1),13812(a,1,2)),flip(a)]. 13815 K(x,K(x \ 1,y) * z) = K(x,z). [para(7476(a,1),13812(a,1,2))]. 13817 K(x,y * K(z,x \ 1)) = K(x,y). [para(8218(a,1),13812(a,1,2)),flip(a)]. 13818 K(x,y / K(x \ 1,z)) = 1 / K(y,x). [hyper(273,a,5370,a,b,13813,a),flip(a)]. 13819 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(9796(a,1),13815(a,1,2))]. 13820 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6569(a,1),13817(a,1,2,2))]. 13821 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(110(a,1),13810(a,1,2,1)),flip(a)]. 13823 K(x / K(y \ 1,z),y) = K(x,y). [hyper(5390,a,13818,a)]. 13824 K(x * K(y \ 1,z),y) = K(x,y). [para(11(a,1),13823(a,1,1)),flip(a)]. 13826 K(x / T(y,z \ 1),z) = K(x / y,z). [para(8252(a,1),13823(a,1,1)),flip(a)]. 13827 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6485(a,1),13824(a,1,1,2))]. 13829 K(K(x,y \ 1) * z,y) = K(z,y). [para(7486(a,1),13824(a,1,1)),flip(a)]. 13830 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(8221(a,1),13824(a,1,1)),flip(a)]. 13831 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5597(a,1),13829(a,1,1,1))]. 13834 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(10108,a,13826,a)]. 13835 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(9096(a,1),13819(a,1,2,2))]. 13836 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(8222(a,1),13820(a,1,2))]. 13837 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6613(a,1),13827(a,1,1)),flip(a)]. 13838 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5898(a,1),13831(a,1,1)),flip(a)]. 13839 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(273,a,8226,a(flip),b,13804,a),flip(a)]. 13841 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(4349(a,2),13839(a,2,2))]. 13843 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(212,a,13802,a,b,6334,a)]. 13845 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(13834(a,2),10108(a,1))]. 13846 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6688(a,1),13835(a,1,2,2)),flip(a)]. 13847 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(13836(a,2),6507(a,2,2))]. 13848 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(13837(a,2),6592(a,2,2))]. 13849 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(62,a,10831,a,b,13838,a)]. 13850 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(4999,a,13843,a),flip(a)]. 13851 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(13850(a,2),12327(a,2,2))]. 13852 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(13849(a,1),12179(a,1,1))]. 13853 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(13846(a,1),8875(a,1,1))]. 13854 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7653,a,13853,a)]. 13855 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(9407,a,13854,a),flip(a)]. 13857 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(8058,a,13791,a),flip(a)]. 13861 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(3635(a,1),13857(a,2,2))]. 13862 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(3635(a,1),13861(a,1,1,2))]. 13863 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6375,a,13862,a),flip(a)]. 13864 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(25(a,2),13863(a,2,2))]. 13865 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(13863(a,2),6332(a,1,2))]. 13866 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(252,a,13865,a)]. 13867 R(K(x,y),z,x \ 1) = K(x,y). [hyper(7295,a,13866,a)]. 13868 L(x \ 1,y,K(x,z)) = x \ 1. [hyper(450,a,13866,a)]. 13869 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9554,a,13867,a)]. 13870 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(13868(a,1),804(a,1,1)),flip(a)]. 13874 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(13869(a,1),5163(a,2,2))]. 13877 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(273,a,5163,a,b,13874,a),flip(a)]. 13878 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(696(a,1),13877(a,1,2))]. 13879 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(62,a,7430,a(flip),b,13870,a)]. 13881 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8548(a,1),13879(a,1,3))]. 13882 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(62,a,6757,a(flip),b,13881,a)]. 13886 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(13882(a,1),2031(a,1,1,2))]. 13887 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(13882(a,1),2507(a,1,1))]. 13892 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(62,a,7262,a(flip),b,13886,a),flip(a)]. 13895 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(13892(a,1),1889(a,1,1))]. 13896 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(62,a,11560,a(flip),b,13878,a)]. 13897 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(72(a,1),13896(a,1,2,2))]. 13898 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(110(a,1),13897(a,1,2)),flip(a)]. 13899 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(273,a,11240,a(flip),b,13898,a),flip(a)]. 13900 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(62,a,13821,a(flip),b,13899,a)]. 13901 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(22(a,2),13900(a,1,2,1)),flip(a)]. 13902 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(62,a,10185,a(flip),b,13901,a)]. 13903 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(273,a,13810,a(flip),b,13902,a),flip(a)]. 13904 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(62,a,10184,a(flip),b,13903,a)]. 13905 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(11483,a,13904,a),flip(a)]. 13906 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(62,a,10277,a(flip),b,13905,a),flip(a)]. 13907 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(13906(a,1),5493(a,1,2))]. 13908 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(62,a,12743,a(flip),b,13907,a),flip(a)]. 13910 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(77(a,1),13908(a,1,2,2)),flip(a)]. 13911 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(10(a,2),13910(a,1,2))]. 13912 L(x,y / z,x) = L(x,z \ y,x). [hyper(62,a,13756,a(flip),b,13911,a)]. 13914 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(273,a,12476,a(flip),b,13912,a),flip(a)]. 13915 L(x,(y \ z) \ z,x) = L(x,y,x). [para(74(a,1),13912(a,1,2)),flip(a)]. 13916 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5315(a,2),13912(a,1,2))]. 13917 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(11169(a,2),13912(a,1,2))]. 13919 L(x,y * K(z,y),x) = L(x,y,x). [para(5971(a,1),13915(a,1,2)),flip(a)]. 13920 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5822(a,1),13919(a,1,2))]. 13921 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(62,a,10433,a,b,13914,a)]. 13922 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(62,a,13920,a(flip),b,13916,a),flip(a)]. 13925 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(13921(a,1),10343(a,1,1)),flip(a)]. 13926 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7505(a,1),13925(a,1,2,2))]. 13928 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(273,a,25,a,b,13926,a),flip(a)]. 13929 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5506(a,1),13928(a,1,2))]. 13930 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8980(a,2),13929(a,1,2))]. 13931 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(9724,a,13930,a)]. 13940 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3793(a,1),13841(a,1,2,1))]. 13941 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(12(a,1),13851(a,2,2,1))]. 13942 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(13941(a,1),11103(a,1,1,2))]. 13943 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(62,a,6161,a(flip),b,13940,a)]. 13944 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(77(a,1),13943(a,2,2,1,2))]. 13945 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(66(a,1),13944(a,2,2,1))]. 13947 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(177(a,1),13945(a,2,2,2))]. 13948 L(K(x,y),z,y \ 1) = K(x,y). [para(7(a,1),13947(a,2,2))]. 13949 K(L(x,y,z \ 1),z) = K(x,z). [hyper(11039,a,13948,a)]. 13952 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(62,a,7115,a(flip),b,13948,a)]. 13953 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [para(13948(a,1),94(a,1,2))]. 13954 K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). [para(771(a,1),13949(a,1,1))]. 13955 (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). [para(8570(a,1),13953(a,1,2)),flip(a)]. 13956 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(62,a,11235,a(flip),b,13952,a)]. 13957 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(273,a,13830,a(flip),b,13956,a),flip(a)]. 13958 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(7928,a,13957,a)]. 13959 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(62,a,11695,a(flip),b,13958,a),flip(a)]. 13960 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(62,a,9111,a(flip),b,13958,a)]. 13961 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(273,a,9964,a(flip),b,13960,a),flip(a)]. 13962 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(13961(a,1),5735(a,1,2,1,2))]. 13963 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(8952,a,13959,a)]. 13964 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(10232,a,13963,a),flip(a)]. 13966 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(108(a,1),13964(a,1,1,2)),flip(a)]. 13967 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(13845,a,13966,a),flip(a)]. 13968 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(62,a,11304,a,b,13967,a)]. 13969 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(273,a,11959,a(flip),b,13968,a),flip(a)]. 13970 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6220(a,2),13969(a,1,1))]. 13971 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(62,a,13068,a(flip),b,13970,a),flip(a)]. 13972 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(10(a,1),13971(a,1,1,1,2)),flip(a)]. 13973 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [hyper(273,a,13739,a(flip),b,13972,a),flip(a)]. 13974 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(62,a,11855,a,b,13973,a)]. 13975 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(13974(a,1),12151(a,1,1))]. 13976 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(8546(a,1),13975(a,1,2))]. 13977 a(x,y / z,x) = a(x,z \ y,x). [hyper(12067,a,13976,a)]. 13978 a(x,y \ z,x) != u | a(x,z / y,x) = u. [para(13976(a,1),12067(a,1))]. 13979 a(x,(y \ z) \ z,x) = a(x,y,x). [para(74(a,1),13977(a,1,2)),flip(a)]. 13980 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(105(a,2),13977(a,1,2))]. 13981 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(11169(a,2),13977(a,1,2))]. 13982 a(x,T(y,z),x) = a(x,y,x). [para(4245(a,2),13979(a,1,2))]. 13983 a(x,y * K(z,y),x) = a(x,y,x). [para(5971(a,1),13979(a,1,2)),flip(a)]. 13984 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(11176(a,1),13979(a,1,2)),flip(a)]. 13985 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(273,a,12178,a,b,13982,a),flip(a)]. 13986 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13982(a,1),12072(a,1,1))]. 13987 L(a(x,y,x),y,z) = a(x,y,x). [hyper(62,a,13522,a(flip),b,13983,a)]. 13989 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(13987(a,1),13629(a,1,1))]. 13990 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(62,a,13984,a(flip),b,13980,a)]. 13991 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(62,a,13599,a(flip),b,13990,a),flip(a)]. 13995 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(7(a,1),13991(a,1,2,2))]. 13996 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(13991(a,1),12812(a,1,2,1)),flip(a)]. 13997 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(13978,a,13995,a)]. 13998 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(12268(a,1),13997(a,1,2,2)),flip(a)]. 13999 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(273,a,13977,a(flip),b,13989,a),flip(a)]. 14001 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(18(a,2),13999(a,2,2))]. 14002 L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). [para(457(a,1),14001(a,2,2))]. 14003 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(9401,a,13954,a)]. 14004 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(273,a,12812,a(flip),b,13996,a),flip(a)]. 14006 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(62,a,13922,a(flip),b,14004,a)]. 14008 L(x,R(y,z,u),x) = L(x,y,x). [para(9(a,1),14006(a,2,2))]. 14009 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(12157,a,13985,a)]. 14010 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(273,a,7460,a(flip),b,14009,a),flip(a)]. 14012 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(9047(a,2),14010(a,2,1)),flip(a)]. 14013 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5626(a,2),14012(a,1,1,1))]. 14014 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(62,a,13082,a,b,14013,a)]. 14015 ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). [para(8570(a,1),13955(a,1,2,2)),flip(a)]. 14016 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(33,a,8989,a,b,14014,a)]. 14017 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [hyper(62,a,12339,a,b,14016,a)]. 14018 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). [para(14016(a,1),5201(a,2,2,2)),flip(a)]. 14019 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(5134(a,1),14017(a,1,1,2))]. 14020 T(x,T(y * x,z)) = T(x,x * T(y,z)). [hyper(7529,a,14018,a)]. 14021 T(x,T(x * y,z)) = T(x,x * T(y,z)). [hyper(62,a,4931,a(flip),b,14020,a)]. 14022 T(x / T(y,x),z) * T(y,T(y * (y \ x),z)) = y * T(y \ x,z). [para(14021(a,2),11781(a,1,2))]. 14023 T(x / T(y,x),z) * T(y,T(x,z)) = y * T(y \ x,z). [para(10(a,1),14022(a,1,2,2,1))]. 14024 x * K(T(x,y) / y,z) = y * T(y \ x,z). [hyper(62,a,10249,a(flip),b,14023,a)]. 14025 K(T(x,y) / y,z) = K(y \ x,z). [hyper(33,a,6455,a(flip),b,14024,a),flip(a)]. 14026 K(x / T(y,x),z) = K(y \ x,z). [hyper(62,a,10248,a(flip),b,14025,a)]. 14027 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(14025(a,1),10340(a,2,2))]. 14028 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(14027(a,1),10434(a,1,1,2))]. 14029 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5913,a,13962,a),flip(a)]. 14030 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2707(a,1),14029(a,1,1,1))]. 14031 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(62,a,5689,a(flip),b,14030,a)]. 14032 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(273,a,9893,a(flip),b,14031,a),flip(a)]. 14033 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(62,a,14003,a(flip),b,14032,a),flip(a)]. 14034 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(8952,a,14033,a),flip(a)]. 14035 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(273,a,11960,a(flip),b,14034,a),flip(a)]. 14036 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(9(a,1),14035(a,1,1,1)),flip(a)]. 14037 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [hyper(62,a,11963,a(flip),b,14036,a)]. 14038 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(11(a,1),14036(a,1,1,1)),flip(a)]. 14039 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [hyper(273,a,11118,a(flip),b,14037,a),flip(a)]. 14040 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3636,a,14038,a)]. 14041 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(14039(a,1),6209(a,1,1,1,1,2))]. 14042 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(7805,a,14040,a)]. 14044 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(2824(a,2),14042(a,1,1,2))]. 14045 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(62,a,7802,a(flip),b,14044,a)]. 14047 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(62,a,7984,a(flip),b,14045,a)]. 14049 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(62,a,12754,a(flip),b,14047,a),flip(a)]. 14050 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(7663,a,14049,a),flip(a)]. 14052 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(273,a,8400,a(flip),b,14050,a),flip(a)]. 14053 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(62,a,12718,a,b,14052,a)]. 14055 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(14053(a,1),7068(a,1,1,1))]. 14056 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(62,a,8405,a(flip),b,14055,a),flip(a)]. 14058 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(12(a,1),14056(a,1,3,2)),flip(a)]. 14059 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(14058(a,1),12816(a,2,2))]. 14060 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(9(a,1),14028(a,1,1))]. 14061 L(x,K(y \ x,z),x) = x. [hyper(8729,a,14060,a),flip(a)]. 14064 L(x,K(y,z),x) = x. [para(77(a,1),14061(a,1,2,1))]. 14066 T(K(x,y) * z,z) = z * K(x,y). [hyper(62,a,10624,a(flip),b,14064,a)]. 14067 R(x,K(y,z),x) = x. [hyper(62,a,4704,a(flip),b,14064,a),flip(a)]. 14070 (x \ y) / T(x \ y,K(y,z)) = K(x,x * K(y,z)). [para(14067(a,1),8889(a,1,1,1))]. 14072 (K(x,y) * z) * z = z * (z * K(x,y)). [para(14066(a,1),108(a,1,2)),flip(a)]. 14073 (x * (K(y,z) * x)) * K(y,K(z,x)) = (K(y,z) * x) * x. [hyper(273,a,10978,a,b,14072,a)]. 14074 K(K(x,y),z \ x) = K(z,z * K(x,y)). [hyper(5202,a,14070,a)]. 14075 K(x,K(y,z \ x)) = K(z,z * K(x,y)). [hyper(9426,a,14074,a)]. 14076 K(x,x * K(y,z)) = K(x,K(y,z)). [hyper(62,a,8803,a(flip),b,14075,a),flip(a)]. 14077 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(264,a,14073,a)]. 14078 K(K(x,y) * z,z) = K(z,K(y,x)). [hyper(273,a,8411,a,b,14077,a),flip(a)]. 14079 K(x * K(y,z),x) = K(x,K(z,y)). [hyper(5627,a,14078,a)]. 14081 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(273,a,14076,a,b,14079,a),flip(a)]. 14082 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(14081(a,1),5979(a,1,1,1,2))]. 14083 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(5163(a,2),14082(a,1,1,1))]. 14084 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(8204,a,14083,a)]. 14085 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(14084(a,1),10714(a,1,1))]. 14086 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(12531(a,1),14085(a,1,1,2,2))]. 14087 L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). [para(10(a,1),14002(a,1,2))]. 14088 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). [para(203(a,1),14087(a,2,2))]. 14089 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(8247(a,1),14019(a,1,1))]. 14090 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(5134(a,1),14089(a,2,2))]. 14092 R(K(x * y,y),x,z) = K(x * y,y). [hyper(273,a,8247,a(flip),b,14090,a),flip(a)]. 14094 R(K(x * y,x),y,z) = K(y * x,x). [para(5626(a,1),14092(a,1,1))]. 14095 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [hyper(62,a,1403,a,b,14094,a)]. 14096 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(14(a,2),13917(a,2,2))]. 14097 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(62,a,14008,a(flip),b,14096,a)]. 14099 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(14097(a,1),13704(a,1,2))]. 14100 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(6056,a,14099,a)]. 14101 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13700(a,2),14100(a,1,1))]. 14102 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(12866,a,14101,a)]. 14103 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(14(a,2),13981(a,2,2))]. 14104 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [hyper(62,a,13599,a(flip),b,14103,a)]. 14106 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5315(a,1),14104(a,1,2,2))]. 14107 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(11297(a,1),14106(a,1,2)),flip(a)]. 14108 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [hyper(273,a,14104,a(flip),b,14107,a),flip(a)]. 14109 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(6292(a,1),14108(a,1,2))]. 14110 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [hyper(62,a,6209,a(flip),b,14041,a),flip(a)]. 14111 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [hyper(62,a,8637,a(flip),b,14110,a),flip(a)]. 14112 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [hyper(62,a,11143,a(flip),b,14111,a),flip(a)]. 14114 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [hyper(273,a,622,a(flip),b,14112,a),flip(a)]. 14116 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(3654(a,1),14114(a,1,1))]. 14117 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(14116(a,1),12210(a,1,2))]. 14118 (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. [hyper(62,a,14015,a(flip),b,14117,a)]. 14120 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(7476(a,1),14118(a,1,2))]. 14122 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(14120(a,1),6338(a,1,2))]. 14127 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(62,a,4535,a(flip),b,14122,a)]. 14129 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(62,a,11194,a(flip),b,14127,a)]. 14131 ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. [hyper(115,a,14129,a(flip),b,226,a)]. 14132 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(14129(a,1),10401(a,1,2,1))]. 14133 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(62,a,6578,a(flip),b,14132,a),flip(a)]. 14135 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(62,a,11689,a(flip),b,14133,a)]. 14136 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(62,a,10860,a(flip),b,14135,a),flip(a)]. 14137 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(62,a,7173,a(flip),b,14136,a),flip(a)]. 14138 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(10580,a,14137,a),flip(a)]. 14139 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(62,a,11879,a(flip),b,14138,a),flip(a)]. 14140 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(62,a,11879,a(flip),b,14139,a),flip(a)]. 14141 K(x,L(y,z,(x \ (z \ x)) * x)) = K(x,L(y,z,z \ 1)). [hyper(273,a,10635,a,b,14140,a)]. 14142 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [hyper(62,a,13453,a(flip),b,14141,a),flip(a)]. 14143 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(62,a,12535,a(flip),b,14142,a),flip(a)]. 14144 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(62,a,12463,a(flip),b,14143,a),flip(a)]. 14146 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [hyper(62,a,6367,a(flip),b,14144,a)]. 14147 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(62,a,5690,a(flip),b,14144,a)]. 14148 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(115,a,14144,a(flip),b,6367,a(flip))]. 14149 1 / ((T(x,y) / z) \ x) = K(x,y) / z. [hyper(316,a,14146,a),flip(a)]. 14151 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(77(a,1),14148(a,1,1,2))]. 14152 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(14151(a,2),8387(a,2,1))]. 14153 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(14147(a,1),7018(a,2,1))]. 14154 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(273,a,5114,a(flip),b,14153,a),flip(a)]. 14156 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(7262(a,1),14154(a,2,2))]. 14157 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(11(a,1),14152(a,1,2,1,1)),flip(a)]. 14158 K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). [hyper(62,a,12486,a,b,14157,a)]. 14159 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(14158(a,1),11977(a,1,2)),flip(a)]. 14160 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(12(a,1),14159(a,1,2,2)),flip(a)]. 14161 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(273,a,1030,a(flip),b,14059,a),flip(a)]. 14162 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(273,a,1311,a(flip),b,14161,a),flip(a)]. 14163 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(7991(a,1),14162(a,2,1,2))]. 14164 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(273,a,12820,a(flip),b,14163,a),flip(a)]. 14165 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(12262(a,1),14164(a,1,1))]. 14166 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(62,a,11588,a(flip),b,14165,a)]. 14167 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). [para(11081(a,2),14088(a,1,1,2,1))]. 14168 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). [hyper(273,a,14109,a(flip),b,14167,a),flip(a)]. 14169 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6736(a,1),14156(a,1,1))]. 14170 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5837(a,1),13852(a,1,2))]. 14171 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8895(a,1),14170(a,1,2))]. 14172 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(273,a,14166,a(flip),b,14171,a),flip(a)]. 14173 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(62,a,12313,a(flip),b,14172,a)]. 14174 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(12533(a,1),14086(a,1,2,1,1))]. 14175 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(62,a,14085,a(flip),b,14174,a),flip(a)]. 14176 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(13016(a,1),14169(a,1,2))]. 14177 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(62,a,6241,a(flip),b,14176,a)]. 14178 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(273,a,7258,a(flip),b,14177,a),flip(a)]. 14179 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [hyper(171,a,14178,a)]. 14180 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(62,a,12611,a(flip),b,14178,a),flip(a)]. 14181 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(14179(a,1),4952(a,1,2,1))]. 14182 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(273,a,7258,a(flip),b,14181,a),flip(a)]. 14183 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(14180(a,1),14182(a,1,1))]. 14184 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(62,a,12612,a,b,14183,a)]. 14185 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6486(a,1),14184(a,1,1))]. 14186 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(62,a,6776,a(flip),b,14185,a),flip(a)]. 14187 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(62,a,13895,a(flip),b,14186,a)]. 14188 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [hyper(171,a,14187,a)]. 14189 T(((x * y) \ x) \ 1,z) = ((x * T(y,z)) \ x) \ 1. [para(14188(a,1),2943(a,1,1)),flip(a)]. 14190 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(14189(a,2),7144(a,1,2,1))]. 14191 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(13882(a,1),13887(a,1,2,1,1)),flip(a)]. 14192 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(273,a,2507,a(flip),b,14191,a),flip(a)]. 14194 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1015(a,1),14192(a,2,1))]. 14195 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1015(a,1),14194(a,1,1))]. 14196 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(14195(a,1),12446(a,1,2,2))]. 14197 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(7547(a,1),14095(a,1,1,1))]. 14198 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(9689(a,1),14197(a,1,1,1))]. 14199 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(104(a,1),14198(a,1,1))]. 14200 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(13554(a,1),14199(a,1,1,1))]. 14201 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(12525(a,1),14200(a,1,1,1)),flip(a)]. 14202 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [hyper(273,a,20,a,b,14201,a),flip(a)]. 14203 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [hyper(5627,a,14202,a)]. 14204 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(5626(a,1),14203(a,2,1))]. 14205 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(102(a,1),14204(a,1,1,2))]. 14206 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(2823(a,1),14205(a,1,1,2,2,1))]. 14207 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [hyper(62,a,13740,a(flip),b,14206,a),flip(a)]. 14208 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [hyper(273,a,5781,a(flip),b,14207,a),flip(a)]. 14209 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(13753(a,1),14208(a,1,1))]. 14210 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(14209(a,1),10408(a,1,2,2))]. 14213 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [hyper(62,a,8543,a(flip),b,14210,a),flip(a)]. 14214 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(14213(a,1),8966(a,1,1,2))]. 14215 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [hyper(8280,a,14214,a),flip(a)]. 14216 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(7501(a,1),14215(a,1,1))]. 14217 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [hyper(273,a,10253,a,b,14216,a)]. 14218 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(13182(a,1),14217(a,2,1))]. 14219 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(3149(a,1),14218(a,1,1))]. 14222 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(5551(a,1),14219(a,1,2))]. 14223 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(117,a,14222,a),flip(a)]. 14224 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(495(a,1),14223(a,2,2,1))]. 14225 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5552(a,1),14223(a,1,1)),flip(a)]. 14227 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11178(a,1),14223(a,1,1))]. 14228 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(14225(a,1),14227(a,1,1)),flip(a)]. 14229 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(62,a,13746,a(flip),b,14228,a),flip(a)]. 14230 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4562(a,1),14229(a,1,1))]. 14235 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(14230(a,1),8971(a,1,1,1,2))]. 14238 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12960,a,14235,a)]. 14239 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(66(a,1),14238(a,1,2))]. 14240 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(125,a,14239,a),flip(a)]. 14242 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(14239(a,1),125(a,1))]. 14243 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(273,a,13681,a(flip),b,14240,a),flip(a)]. 14244 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(62,a,14230,a(flip),b,14240,a)]. 14245 R(K(x,y),K(z,y),u) = K(x,y). [para(4573(a,1),14240(a,2,2))]. 14248 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(14240(a,1),13243(a,2,1,2))]. 14249 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(14240(a,1),13248(a,1,2,2))]. 14250 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(14245(a,1),8167(a,1,2,1)),flip(a)]. 14251 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6934,a,14244,a),flip(a)]. 14254 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(14230(a,1),14242(a,1))]. 14257 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(14250(a,1),7686(a,1,2,2))]. 14259 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(14243(a,1),6299(a,1,2,1))]. 14260 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(14254,a,14251,a)]. 14261 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5426,a,14259,a),flip(a)]. 14263 x * ((K(y,z) * x) \ 1) = K(z,L(y,x,x \ 1)). [hyper(273,a,12430,a(flip),b,14261,a),flip(a)]. 14264 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(115,a,12430,a(flip),b,14261,a)]. 14265 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(14264(a,1),8978(a,1,2,1))]. 14266 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(8588(a,1),14265(a,1,2,1,1))]. 14267 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(62,a,5964,a(flip),b,14266,a)]. 14268 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1666(a,1),14267(a,1,2,1,1))]. 14269 K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(62,a,10563,a(flip),b,14268,a),flip(a)]. 14270 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [hyper(131,a,14269,a(flip)),flip(a)]. 14272 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [hyper(273,a,14160,a(flip),b,14270,a),flip(a)]. 14273 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(74(a,1),14272(a,1,1)),flip(a)]. 14275 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [para(14272(a,1),14149(a,1,2))]. 14276 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(14273(a,2),7579(a,2,2)),flip(a)]. 14277 (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). [hyper(171,a,14275,a)]. 14281 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(5163(a,2),14248(a,2,1))]. 14282 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(7783,a,14249,a)]. 14283 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(62,a,8023,a,b,14282,a)]. 14284 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(3204(a,1),14283(a,1,1))]. 14285 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(13236,a,14284,a)]. 14286 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(14285(a,2),13267(a,2,1)),flip(a)]. 14287 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(62,a,13269,a,b,14286,a)]. 14288 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(62,a,13702,a(flip),b,14287,a)]. 14289 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(62,a,11477,a,b,14288,a)]. 14290 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8443(a,2),14289(a,2,1))]. 14291 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(11508,a,14290,a)]. 14292 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(62,a,10378,a(flip),b,14291,a)]. 14293 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8458(a,1),14292(a,2,1))]. 14294 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(10994(a,1),14293(a,2,1,2))]. 14295 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10435,a,14294,a)]. 14298 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(62,a,11243,a(flip),b,14295,a)]. 14300 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5727(a,1),14224(a,1,1))]. 14301 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(13722(a,1),14300(a,1,1))]. 14302 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(273,a,13733,a(flip),b,14301,a),flip(a)]. 14304 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(20(a,2),14302(a,2,2,2))]. 14305 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(14242,a,14304,a)]. 14306 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5198(a,1),14257(a,1,2)),flip(a)]. 14307 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(273,a,5508,a(flip),b,14306,a),flip(a)]. 14309 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(273,a,5387,a(flip),b,14307,a),flip(a)]. 14311 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(7675(a,1),14309(a,1,2))]. 14312 L(x,K(y,z) * K(u,z),T(z,u)) != w | w = x. [para(14311(a,1),49(a,1)),flip(a)]. 14313 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(273,a,7579,a(flip),b,14276,a),flip(a)]. 14314 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(25(a,2),14313(a,1,2,1,2,2))]. 14315 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(25(a,2),14314(a,1,2,1,2,2,1))]. 14316 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(62,a,10754,a(flip),b,14315,a)]. 14318 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(77(a,1),14316(a,1,2))]. 14319 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(62,a,12581,a,b,14318,a)]. 14322 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(62,a,12250,a(flip),b,14319,a),flip(a)]. 14324 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(14322(a,1),10832(a,1,1))]. 14325 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11513(a,1),14324(a,1,1))]. 14327 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(64(a,1),14325(a,1,1,2))]. 14328 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5487(a,1),14327(a,1,2))]. 14329 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(13040,a,14328,a)]. 14330 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(2226(a,1),14329(a,1,2))]. 14331 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(10596(a,1),14330(a,1,2))]. 14332 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(122,a,14331,a)]. 14333 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(14332(a,1),13555(a,1,1)),flip(a)]. 14334 (a(x,y,L(x,z,u)) \ 1) \ 1 != w | a(L(x,z,u),y,L(x,z,u)) = w. [para(14333(a,1),117(a,1))]. 14335 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12137(a,1),13986(a,1,1))]. 14337 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(14173(a,1),14335(a,1,1))]. 14338 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(9(a,1),14337(a,1,1,1))]. 14339 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(9(a,1),14338(a,1,1,3)),flip(a)]. 14340 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6571(a,1),14339(a,2,2))]. 14341 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(9(a,1),14340(a,2,2,2))]. 14342 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5372(a,1),14341(a,2,2))]. 14343 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(273,a,12058,a(flip),b,14342,a),flip(a)]. 14344 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6627,a,14343,a)]. 14345 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(9(a,1),14344(a,1,2))]. 14346 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(62,a,5671,a(flip),b,14345,a)]. 14347 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(9764,a,14346,a)]. 14349 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(10(a,1),14347(a,2,1))]. 14350 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(62,a,11765,a(flip),b,14349,a),flip(a)]. 14352 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(62,a,5674,a(flip),b,14350,a)]. 14353 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(62,a,7003,a(flip),b,14352,a)]. 14355 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(62,a,7930,a,b,14353,a)]. 14356 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(10(a,1),14353(a,1,1,2,1)),flip(a)]. 14358 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(14355(a,1),13439(a,1,1,1,2))]. 14359 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(273,a,13837,a,b,14356,a),flip(a)]. 14360 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(14359(a,1),260(a,1,2))]. 14362 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(62,a,13848,a,b,14360,a)]. 14363 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(260(a,1),14358(a,1,1,1))]. 14365 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(7705(a,1),14363(a,1,1))]. 14366 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(107(a,1),14365(a,1,2,2,2))]. 14367 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9640(a,1),14366(a,1,2))]. 14368 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3688(a,1),14367(a,1,2))]. 14369 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(62,a,11279,a(flip),b,14368,a)]. 14370 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(62,a,11551,a(flip),b,14369,a)]. 14371 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(181(a,1),14370(a,1,2)),flip(a)]. 14372 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(62,a,13855,a,b,14371,a)]. 14375 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(62,a,8105,a(flip),b,14372,a)]. 14377 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(62,a,10821,a(flip),b,14375,a),flip(a)]. 14378 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(14377(a,1),5408(a,1,2))]. 14380 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(62,a,13847,a,b,14378,a)]. 14381 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11879(a,1),13942(a,1,2,2))]. 14382 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(62,a,13686,a(flip),b,14381,a)]. 14383 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(8015(a,1),14382(a,1,2,2)),flip(a)]. 14385 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(8458(a,1),14383(a,2,2))]. 14386 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(13484(a,1),14385(a,2,2))]. 14387 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(8440(a,1),14386(a,2,2))]. 14388 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11879(a,1),14387(a,1,1,2))]. 14389 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(62,a,8068,a,b,14388,a)]. 14390 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(13941(a,1),14389(a,1,1)),flip(a)]. 14391 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2656(a,1),13020(a,2,1))]. 14392 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(12290(a,1),14391(a,2,1))]. 14393 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(7(a,1),14392(a,2,2,2))]. 14394 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(11(a,1),14393(a,2,2))]. 14395 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(273,a,5173,a,b,14394,a),flip(a)]. 14397 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(13018(a,1),14395(a,1,1,1,2,1)),flip(a)]. 14398 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(7(a,1),14397(a,2,1,1,2))]. 14400 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(11(a,1),14398(a,2,1,1))]. 14401 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(14400(a,1),13019(a,1,2))]. 14402 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2315,a,14401,a)]. 14403 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(12603,a,14402,a),flip(a)]. 14405 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(14403(a,2),8(a,1,2))]. 14406 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(5375,a,14405,a)]. 14407 1 / a(x,y,z) = a(x,y,z) \ 1. [para(14406(a,1),7277(a,1,2)),flip(a)]. 14408 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [hyper(171,a,14407,a)]. 14410 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(14334,a,14408,a)]. 14411 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [para(14410(a,1),12040(a,1,2))]. 14412 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(273,a,11794,a(flip),b,14411,a),flip(a)]. 14413 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(12031(a,1),14412(a,1,2))]. 14414 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(14413(a,1),443(a,1,2,2))]. 14416 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(94(a,1),14414(a,1,2))]. 14417 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(12082,a,14416,a),flip(a)]. 14418 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(13775,a,14417,a),flip(a)]. 14420 L(a(x,y,x),z,u) = a(x,y,x). [para(12(a,1),14418(a,1,2))]. 14427 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [hyper(62,a,14168,a(flip),b,14420,a),flip(a)]. 14428 a(x,L(y,z,u),x) = a(x,y,x). [hyper(62,a,14001,a(flip),b,14420,a)]. 14430 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(14420(a,1),94(a,1,2))]. 14433 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(256(a,1),14428(a,1,2))]. 14434 a(x,(y \ z) \ 1,x) = a(x,z \ y,x). [para(352(a,1),14428(a,1,2)),flip(a)]. 14435 R(x,L(y,z,u),x) = x * a(x,y,x). [para(14428(a,1),12040(a,1,2)),flip(a)]. 14436 R(x,L(y,z,u),x) = R(x,y,x). [hyper(273,a,12040,a(flip),b,14435,a),flip(a)]. 14437 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14436(a,1),13151(a,1,2,1))]. 14438 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(62,a,13998,a(flip),b,14434,a),flip(a)]. 14440 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(14427(a,1),12051(a,1,1)),flip(a)]. 14441 R(x,y,a(z,u,z)) = x. [hyper(7295,a,14430,a)]. 14447 R(x,y,T(a(z,u,z),w)) = x. [para(12782(a,2),14441(a,1,3))]. 14448 (x / T(a(y,z,y),u)) / w = x / (w * T(a(y,z,y),u)). [hyper(62,a,259,a(flip),b,14447,a),flip(a)]. 14449 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(273,a,12051,a(flip),b,14440,a),flip(a)]. 14451 x / (y * T(a(z,u,z),w)) = (a(z,u,z) \ x) / y. [para(12813(a,1),14448(a,1,1)),flip(a)]. 14452 x / (y * T(a(z,u,z),w)) = a(z,u,z) \ (x / y). [hyper(273,a,13547,a(flip),b,14451,a),flip(a)]. 14453 x / (y * a(z,u,z)) = a(z,u,z) \ (x / y). [para(107(a,1),14452(a,1,2,2))]. 14454 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(12040(a,1),14453(a,1,2)),flip(a)]. 14455 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14436(a,1),14437(a,1,2,2,1))]. 14457 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4300(a,2),14455(a,1,2))]. 14459 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4288(a,1),14457(a,1,2,2))]. 14460 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(13368(a,1),14459(a,1,2))]. 14461 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(715(a,1),14460(a,1,2)),flip(a)]. 14462 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(62,a,10334,a(flip),b,14461,a)]. 14463 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(115,a,14462,a(flip),b,5163,a(flip))]. 14464 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(10460,a,14463,a),flip(a)]. 14465 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(273,a,12434,a(flip),b,14464,a),flip(a)]. 14466 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(12(a,1),14465(a,1,1))]. 14467 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(62,a,7174,a(flip),b,14466,a)]. 14468 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11818(a,1),14467(a,2,3))]. 14469 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(273,a,12510,a(flip),b,14468,a),flip(a)]. 14471 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(62,a,11449,a(flip),b,14469,a)]. 14473 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(62,a,6731,a(flip),b,14471,a)]. 14474 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(12(a,1),14471(a,1,2))]. 14475 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(8603,a,14474,a)]. 14476 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(62,a,11461,a(flip),b,14475,a)]. 14477 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11957(a,1),14476(a,2,3))]. 14478 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(77(a,1),14477(a,2,3,1))]. 14481 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(14478(a,1),5419(a,1,2,1)),flip(a)]. 14482 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(273,a,10500,a(flip),b,14481,a),flip(a)]. 14483 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(14482(a,1),5163(a,2,2))]. 14484 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(14482(a,1),12521(a,1,3)),flip(a)]. 14485 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(62,a,13696,a,b,14484,a)]. 14486 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(14484(a,1),14196(a,1,1))]. 14488 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(14485(a,1),10491(a,1,2))]. 14490 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(12590(a,1),14488(a,1,2)),flip(a)]. 14491 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(273,a,8,a(flip),b,14490,a),flip(a)]. 14493 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(14491(a,1),11534(a,1,2,2)),flip(a)]. 14494 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(273,a,11534,a(flip),b,14493,a),flip(a)]. 14496 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(14494(a,1),5163(a,2,2))]. 14498 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(273,a,5163,a,b,14496,a),flip(a)]. 14499 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(12591(a,1),14486(a,1,1))]. 14500 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(117,a,14499,a)]. 14502 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(62,a,6760,a(flip),b,14500,a)]. 14504 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(14502(a,1),5163(a,2,2)),flip(a)]. 14506 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5167,a,14504,a),flip(a)]. 14507 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(14506(a,2),645(a,1,1))]. 14509 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(273,a,14483,a(flip),b,14507,a),flip(a)]. 14510 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(62,a,14433,a(flip),b,14438,a)]. 14511 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(18(a,2),14510(a,1,2,2))]. 14512 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(5042(a,1),14511(a,1,2))]. 14513 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(62,a,8129,a(flip),b,14512,a)]. 14514 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(273,a,13977,a(flip),b,14513,a)]. 14516 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(182(a,1),14514(a,1,2,2))]. 14517 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(14516(a,1),12147(a,1,1,2))]. 14518 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5073(a,1),14473(a,1,1))]. 14519 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(9(a,1),14518(a,1,2,2))]. 14521 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(14449(a,1),14519(a,1,2))]. 14522 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(6056,a,14521,a)]. 14523 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(62,a,9927,a(flip),b,14522,a)]. 14524 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(14498(a,1),14523(a,1,2,1))]. 14525 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5457,a,14524,a)]. 14526 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1678(a,1),14517(a,2,1))]. 14527 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(273,a,14441,a(flip),b,14526,a),flip(a)]. 14529 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(12032(a,1),14527(a,1,1))]. 14530 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(62,a,12143,a(flip),b,14529,a)]. 14531 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(62,a,14509,a(flip),b,14530,a),flip(a)]. 14532 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(14531(a,2),12299(a,1,1))]. 14533 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(14531(a,2),12550(a,1,1))]. 14534 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(424,a,14532,a)]. 14535 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4845(a,1),14534(a,1,1))]. 14536 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(424,a,14533,a)]. 14537 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(12266(a,1),14535(a,1,2,1))]. 14538 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(62,a,14534,a(flip),b,14537,a),flip(a)]. 14539 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4760(a,1),7163(a,1,2,1)),flip(a)]. 14540 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2954(a,1),14539(a,2,2,2))]. 14542 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5045(a,1),8030(a,1,2,1,2,2,2))]. 14543 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4792(a,1),14542(a,1,2,1,2,2))]. 14544 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8440(a,1),14543(a,1,2,1))]. 14545 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(11547(a,1),14544(a,1,2,1,2))]. 14546 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7608(a,1),14545(a,1,2,1,2))]. 14548 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8765(a,1),14546(a,1,2,1))]. 14549 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5045(a,1),14548(a,1,2,2,1,2,1,2,2))]. 14550 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4792(a,1),14549(a,1,2,2,1,2,1,2))]. 14551 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8412(a,1),14550(a,1,2,2,1,2))]. 14552 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10533(a,1),14551(a,1,2,2,1,2,2))]. 14553 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7581(a,1),14552(a,1,2,2,1,2,2))]. 14555 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8752(a,1),14553(a,1,2,2,1,2))]. 14556 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5346(a,2),14555(a,1,2,2,1))]. 14557 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(13864(a,2),14556(a,1,2))]. 14558 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(62,a,13865,a(flip),b,14557,a)]. 14559 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6358(a,1),14558(a,1,2)),flip(a)]. 14560 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(273,a,8483,a(flip),b,14559,a),flip(a)]. 14561 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1015(a,1),14560(a,1,1)),flip(a)]. 14562 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(62,a,13278,a,b,14561,a)]. 14563 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1015(a,1),14562(a,1,1))]. 14564 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(14563(a,1),13021(a,1,2))]. 14565 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(13022,a,14564,a),flip(a)]. 14566 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(273,a,8443,a,b,14565,a),flip(a)]. 14568 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(62,a,12713,a(flip),b,14566,a)]. 14569 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(273,a,8440,a,b,14568,a),flip(a)]. 14571 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(62,a,12714,a,b,14569,a)]. 14572 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(62,a,13440,a,b,14571,a)]. 14574 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(273,a,12308,a(flip),b,14572,a),flip(a)]. 14575 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(9433,a,14574,a)]. 14576 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14574(a,1),9433(a,1))]. 14577 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(62,a,8435,a,b,14575,a)]. 14578 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(62,a,13286,a,b,14577,a)]. 14579 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(10539,a,14578,a)]. 14580 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(62,a,14298,a(flip),b,14579,a)]. 14581 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9333(a,1),14580(a,1,1)),flip(a)]. 14582 K(x,K(y * z,a(y,z,u))) = 1. [hyper(273,a,12694,a(flip),b,14581,a),flip(a)]. 14583 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14576,a,14582,a)]. 14586 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(14583(a,1),8983(a,1,1)),flip(a)]. 14587 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(273,a,7,a(flip),b,14586,a),flip(a)]. 14588 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(14587(a,1),8984(a,1,1)),flip(a)]. 14589 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7566,a,14588,a)]. 14590 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(9451,a,14589,a)]. 14591 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(62,a,11188,a,b,14590,a)]. 14592 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13700(a,2),14591(a,1,1))]. 14593 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,13659,a,b,14592,a)]. 14594 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,13661,a(flip),b,14593,a)]. 14596 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(14594(a,1),14102(a,1,2))]. 14597 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(62,a,12868,a(flip),b,14596,a)]. 14598 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5457,a,14597,a)]. 14599 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(273,a,14594,a(flip),b,14598,a),flip(a)]. 14600 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(273,a,14285,a(flip),b,14598,a),flip(a)]. 14601 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(62,a,14525,a(flip),b,14599,a)]. 14602 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(62,a,14525,a(flip),b,14600,a),flip(a)]. 14603 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14602(a,1),13229(a,1,1,2))]. 14604 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(12634,a,14603,a),flip(a)]. 14605 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(62,a,14602,a(flip),b,14604,a),flip(a)]. 14606 L(a(x,y,K(z,u)),K(x,u) * (y * z),K(u,x)) = (y * z) \ (K(u,x) * ((K(x,u) * y) * z)). [para(14604(a,1),5431(a,1,1))]. 14607 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [hyper(273,a,10474,a,b,14605,a)]. 14608 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(273,a,14601,a(flip),b,14605,a),flip(a)]. 14609 a(x \ 1,x,K(y,z)) = 1. [hyper(273,a,9594,a(flip),b,14605,a),flip(a)]. 14611 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(8441(a,1),14605(a,1,3))]. 14613 a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). [para(8457(a,1),14605(a,1,3))]. 14614 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(14605(a,2),10473(a,1,2))]. 14615 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(14605(a,1),14531(a,2,2))]. 14616 L(K(x,y),z,z \ 1) = K(x,y). [hyper(51,a,14609,a)]. 14619 K(x,y * (z \ 1)) = K(x,y / z). [hyper(62,a,13688,a(flip),b,14616,a)]. 14620 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(62,a,11879,a(flip),b,14616,a)]. 14621 L(K(x,y),z \ 1,z) = K(x,y). [hyper(62,a,3810,a(flip),b,14616,a)]. 14623 (1 / x) \ K(y,z) = x * K(y,z). [hyper(115,a,14616,a(flip),b,2711,a)]. 14627 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(115,a,14620,a(flip),b,14263,a),flip(a)]. 14628 K(x,(1 / y) * z) = K(x,y \ z). [para(2707(a,1),14620(a,1,2))]. 14629 K(x,(y \ 1) \ z) = K(x,y * z). [para(2710(a,1),14620(a,1,2)),flip(a)]. 14633 K((x \ 1) \ y,z) = K(x * y,z). [hyper(62,a,12432,a(flip),b,14621,a),flip(a)]. 14636 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(14608(a,1),14601(a,2,2))]. 14640 T(x,y * (1 / z)) = x * K(x,y / z). [para(14619(a,1),5235(a,1,2)),flip(a)]. 14642 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(273,a,8233,a(flip),b,14623,a),flip(a)]. 14643 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(62,a,14277,a,b,14623,a)]. 14650 (1 / x) \ y != x * K(z,u) | K(z,u) = y. [para(14623(a,1),46(a,1)),flip(a)]. 14657 1 / (x * K(y,z)) = K(z,y) / x. [para(14623(a,1),14275(a,1,2))]. 14658 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [hyper(273,a,5388,a(flip),b,14627,a),flip(a)]. 14659 K(x,y) * (1 / z) = K(x,y) / z. [hyper(38,a,14277,a,b,14627,a),flip(a)]. 14663 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [para(14629(a,1),14623(a,1,2))]. 14669 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(115,a,14633,a(flip),b,2319,a)]. 14676 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(273,a,5516,a,b,14643,a),flip(a)]. 14685 K(x,y) / (z / T(y,x)) = 1 / (z / y). [para(6421(a,1),14657(a,1,2)),flip(a)]. 14686 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(14657(a,1),6755(a,1,2,1,2,2))]. 14689 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [hyper(62,a,5282,a,b,14659,a)]. 14690 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(14659(a,1),7411(a,1,1))]. 14691 T(x,y * (1 / z)) = T(x,y / z). [hyper(273,a,5163,a,b,14640,a),flip(a)]. 14692 T(x,y / (1 / z)) = T(x,y * z). [hyper(62,a,4780,a(flip),b,14691,a),flip(a)]. 14695 T(x,(y / (1 / z)) / z) = T(x,y). [para(12(a,1),14691(a,1,2)),flip(a)]. 14696 K(x * (1 / y),z) = z / T(z,x / y). [para(14691(a,1),5108(a,2,2))]. 14699 (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). [para(14695(a,1),13448(a,1,2,2)),flip(a)]. 14700 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(5114(a,2),14685(a,1,2))]. 14701 K(x * (1 / y),z) = K(x / y,z). [hyper(273,a,5108,a,b,14696,a),flip(a)]. 14703 K(x / (1 / y),z) = K(x * y,z). [hyper(62,a,5669,a(flip),b,14701,a),flip(a)]. 14704 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(14703(a,1),9735(a,2,2))]. 14705 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(14700(a,1),7323(a,1,1,1))]. 14706 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(8238,a,14607,a)]. 14707 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(8411(a,1),14611(a,2,3)),flip(a)]. 14708 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(8443(a,1),14611(a,2,3))]. 14709 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(14613(a,1),14614(a,1,2))]. 14710 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(8440(a,1),14636(a,1,3))]. 14711 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(14642(a,1),8342(a,2,1))]. 14712 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(62,a,9515,a,b,14658,a)]. 14713 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(14676(a,1),13163(a,2,1,2))]. 14715 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(14690(a,1),12707(a,1,1))]. 14716 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(14657(a,2),14690(a,1,1))]. 14717 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [para(14605(a,2),14706(a,1,1))]. 14718 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(12478,a,14708,a)]. 14719 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(62,a,14611,a(flip),b,14710,a)]. 14720 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(273,a,9051,a(flip),b,14717,a),flip(a)]. 14721 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(14717(a,1),43(a,1))]. 14722 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(14717(a,2),9528(a,1))]. 14724 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(10(a,1),14663(a,1,2,2)),flip(a)]. 14727 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(14705(a,1),7994(a,1,3,2))]. 14728 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(62,a,8883,a(flip),b,14716,a)]. 14729 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(14728(a,1),14659(a,1,2))]. 14732 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(876(a,1),14724(a,1,2,2)),flip(a)]. 14734 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [hyper(273,a,11879,a(flip),b,14709,a),flip(a)]. 14736 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(273,a,9216,a,b,14734,a),flip(a)]. 14737 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(12010(a,2),14669(a,1,2,1))]. 14738 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(376,a,14699,a)]. 14740 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(110(a,1),14738(a,1,2,2))]. 14741 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(14740(a,1),4273(a,1,2)),flip(a)]. 14742 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(14741(a,2),2623(a,1,1))]. 14743 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(54,a,14712,a)]. 14744 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(14658(a,2),14743(a,1,2))]. 14745 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(14744(a,1),1858(a,1,1)),flip(a)]. 14746 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(273,a,66,a(flip),b,14745,a),flip(a)]. 14748 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(14746(a,1),3083(a,1,1,2))]. 14749 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(8458(a,1),14718(a,1,2))]. 14750 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(95(a,2),14720(a,2,2,2)),flip(a)]. 14751 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(8440(a,1),14720(a,1,1,3))]. 14752 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8754(a,1),14720(a,1,1,3))]. 14753 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(14650,a,14732,a)]. 14754 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(62,a,10553,a(flip),b,14753,a)]. 14755 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(62,a,14190,a(flip),b,14754,a)]. 14756 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(62,a,8404,a(flip),b,14754,a),flip(a)]. 14757 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(33,a,14709,a,b,14736,a)]. 14758 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(10(a,1),14757(a,1,2)),flip(a)]. 14759 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(8443(a,2),14757(a,1,3))]. 14760 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(8443(a,2),14759(a,2,3))]. 14761 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(62,a,12929,a(flip),b,14749,a)]. 14762 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10489(a,1),14761(a,1,1))]. 14763 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(8458(a,1),14762(a,2,3))]. 14764 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(273,a,9242,a(flip),b,14756,a)]. 14765 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [hyper(62,a,14753,a(flip),b,14764,a),flip(a)]. 14766 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(6144(a,1),14704(a,2,2))]. 14767 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(273,a,2207,a(flip),b,14766,a),flip(a)]. 14768 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(74(a,1),14767(a,1,1))]. 14769 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(62,a,14751,a(flip),b,14752,a),flip(a)]. 14770 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(77(a,1),14769(a,1,2,2,3)),flip(a)]. 14771 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(64(a,1),14755(a,1,2)),flip(a)]. 14772 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(273,a,6724,a(flip),b,14771,a),flip(a)]. 14773 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(273,a,11444,a(flip),b,14772,a),flip(a)]. 14775 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(273,a,10553,a,b,14773,a),flip(a)]. 14776 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(10(a,1),14775(a,1,2,1,1,1)),flip(a)]. 14777 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(62,a,11988,a(flip),b,14776,a),flip(a)]. 14778 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(62,a,14765,a(flip),b,14777,a)]. 14779 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(62,a,6728,a(flip),b,14777,a)]. 14780 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(9(a,1),14778(a,1,2,1,1)),flip(a)]. 14781 K(x,T(x * T(y,z),z)) = K(x,((y \ z) / z) \ x). [hyper(62,a,14175,a(flip),b,14779,a)]. 14782 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(62,a,10571,a,b,14780,a)]. 14783 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(14781(a,2),6845(a,1,1))]. 14784 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(74(a,1),14768(a,1,2,1)),flip(a)]. 14786 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(6589(a,1),14784(a,1,1))]. 14787 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(14786(a,2),2072(a,1,2))]. 14788 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(14786(a,2),10825(a,2,1,1,2,1)),flip(a)]. 14789 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(8440(a,1),14722(a,1,1,3))]. 14791 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(62,a,10572,a(flip),b,14782,a),flip(a)]. 14792 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7655,a,14791,a)]. 14794 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(62,a,8040,a(flip),b,14792,a),flip(a)]. 14796 K(x,T(T(x * T(y,z),z),u)) = K(x,T((z / (y * z)) \ x,u)). [para(108(a,1),14794(a,1,2,1,1,2)),flip(a)]. 14797 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(273,a,11991,a(flip),b,14796,a),flip(a)]. 14798 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(10688,a,14797,a)]. 14799 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(273,a,5727,a(flip),b,14798,a),flip(a)]. 14800 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(77(a,1),14799(a,2,2,1,1))]. 14801 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(273,a,10919,a(flip),b,14800,a)]. 14803 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(14801(a,2),6845(a,1,1))]. 14804 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(62,a,6851,a(flip),b,14803,a)]. 14805 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),((u \ w) / w) \ x). [hyper(62,a,6845,a(flip),b,14783,a)]. 14806 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(273,a,13751,a(flip),b,14805,a),flip(a)]. 14807 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(74(a,1),14806(a,2,2,2))]. 14809 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(62,a,14804,a,b,14807,a)]. 14811 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(14244(a,1),14809(a,1,1))]. 14812 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(14242,a,14811,a)]. 14813 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(273,a,14244,a(flip),b,14812,a),flip(a)]. 14814 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(62,a,14260,a(flip),b,14813,a),flip(a)]. 14816 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(62,a,14305,a(flip),b,14814,a),flip(a)]. 14817 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(14816(a,2),5173(a,2,1)),flip(a)]. 14818 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5227,a,14817,a)]. 14819 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(273,a,13619,a,b,14818,a)]. 14820 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(62,a,9721,a(flip),b,14819,a)]. 14821 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(62,a,14281,a,b,14820,a)]. 14823 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3567(a,2),14820(a,2,2,1))]. 14824 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(14604(a,1),14821(a,1,2))]. 14825 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(14758(a,1),14750(a,2,1))]. 14826 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(273,a,14720,a(flip),b,14825,a),flip(a)]. 14827 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(95(a,1),14826(a,1,2,2))]. 14828 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11086(a,2),14827(a,1,2,2))]. 14829 a(x,y,K(z,L(u,K(x,u) * (y * z),K(u,x)))) = (y * z) \ (K(u,x) * ((K(x,u) * y) * z)). [hyper(62,a,12589,a,b,14606,a)]. 14830 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(62,a,10216,a(flip),b,14787,a)]. 14831 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2972(a,2),14830(a,2,1))]. 14832 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(273,a,77,a(flip),b,14831,a),flip(a)]. 14835 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(62,a,14742,a(flip),b,14832,a),flip(a)]. 14836 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [hyper(131,a,14835,a(flip))]. 14837 (x * y) \ (K(z,u) * ((K(u,z) * x) * y)) = a(u,x,K(y,z)). [para(7384(a,1),14829(a,1,3,2)),flip(a)]. 14838 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3125(a,1),14711(a,1,2))]. 14840 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(3265(a,1),14838(a,1,2)),flip(a)]. 14841 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(273,a,11709,a(flip),b,14840,a),flip(a)]. 14843 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(14841(a,1),14540(a,2,2))]. 14844 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(14643(a,1),14788(a,1,1,1,2))]. 14845 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(9600(a,1),14844(a,1,1,1,2))]. 14846 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(8179(a,1),14845(a,1,1,1)),flip(a)]. 14847 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2972(a,2),14846(a,1,2,2,1))]. 14848 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(77(a,1),14847(a,1,2,2))]. 14850 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(14836(a,1),14848(a,1,2))]. 14851 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [hyper(176,a,14850,a(flip))]. 14852 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(8(a,1),14748(a,1,1)),flip(a)]. 14853 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(9513(a,1),14852(a,2,3))]. 14854 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(9513(a,1),14853(a,1,1))]. 14855 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12770(a,1),14854(a,1,2))]. 14856 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(62,a,14250,a(flip),b,14855,a)]. 14857 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5387(a,1),14856(a,1,2)),flip(a)]. 14858 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(273,a,5387,a(flip),b,14857,a),flip(a)]. 14861 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(12255(a,1),14823(a,1,1))]. 14862 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(77(a,1),14861(a,1,1,2,1,2,1))]. 14863 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10376(a,1),14862(a,1,1))]. 14864 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(62,a,7239,a(flip),b,14863,a)]. 14866 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(77(a,1),14864(a,1,2,2,1)),flip(a)]. 14867 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(273,a,13931,a(flip),b,14866,a),flip(a)]. 14869 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(273,a,14820,a(flip),b,14867,a),flip(a)]. 14870 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(10(a,1),14869(a,2,2,1))]. 14871 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3567(a,1),14870(a,1,2,1))]. 14872 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7755(a,1),14713(a,2,1))]. 14873 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3143(a,1),14872(a,2,1,1))]. 14874 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(8271(a,1),14873(a,2,2))]. 14875 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(273,a,14743,a(flip),b,14874,a),flip(a)]. 14877 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(12010(a,1),14875(a,1,1))]. 14878 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(273,a,5388,a(flip),b,14843,a),flip(a)]. 14879 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [hyper(273,a,8965,a(flip),b,14878,a),flip(a)]. 14880 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4760(a,1),14879(a,1,2,2,2))]. 14882 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(5388(a,1),14880(a,1,2,2))]. 14883 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(10718(a,1),14882(a,1,2,2)),flip(a)]. 14884 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(273,a,11107,a(flip),b,14883,a),flip(a)]. 14885 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(177(a,1),14884(a,2,2))]. 14886 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5952(a,1),14737(a,1,1,1))]. 14887 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(12010(a,1),14886(a,1,1))]. 14888 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(12010(a,1),14887(a,1,2,1))]. 14889 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5952(a,1),14888(a,1,2,2,2))]. 14890 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(14877(a,1),14889(a,1,2)),flip(a)]. 14891 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(273,a,12893,a(flip),b,14890,a),flip(a)]. 14893 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5952(a,1),14891(a,1,2,1))]. 14894 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(12010(a,1),14893(a,1,2))]. 14895 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [hyper(171,a,14894,a)]. 14896 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(14895(a,1),14131(a,1,1,1))]. 14897 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12893(a,1),14896(a,1,1))]. 14898 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(14895(a,1),14897(a,1,2,2))]. 14899 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(14727(a,1),14898(a,1,2))]. 14900 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(7785(a,1),14899(a,1,2))]. 14901 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14858(a,1),14900(a,1,2)),flip(a)]. 14902 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14895(a,1),14901(a,1,1,1,1))]. 14903 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12893(a,1),14902(a,1,1,1))]. 14904 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(14895(a,1),14903(a,1,1)),flip(a)]. 14905 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(14904(a,1),9771(a,1,1))]. 14906 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(9770(a,1),14905(a,1,2))]. 14907 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(62,a,10313,a(flip),b,14906,a)]. 14908 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5141(a,1),14907(a,1,2))]. 14909 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(14312,a,14908,a)]. 14911 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(14909(a,1),13777(a,1,1))]. 14912 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(6749(a,1),14911(a,1,1,1)),flip(a)]. 14913 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5715(a,1),14912(a,2,2))]. 14914 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(6213(a,1),14913(a,2,2))]. 14915 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(11967(a,1),14914(a,2,2))]. 14916 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(9(a,1),14915(a,2,2,1))]. 14917 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(273,a,6425,a(flip),b,14916,a),flip(a)]. 14919 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(273,a,10130,a(flip),b,14917,a),flip(a)]. 14920 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5952(a,1),14919(a,1,1,1))]. 14921 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(14909(a,1),14920(a,1,1))]. 14922 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6749(a,1),14921(a,1,1,1))]. 14923 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(62,a,4795,a(flip),b,14922,a)]. 14924 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4300(a,1),14923(a,2,1))]. 14925 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(14482(a,1),14924(a,2,2))]. 14926 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(14482(a,1),14925(a,1,1,1))]. 14927 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(273,a,14824,a(flip),b,14926,a),flip(a)]. 14928 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(11587(a,1),14927(a,1,1))]. 14929 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(14615(a,2),14928(a,1,1))]. 14930 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(4404,a,14929,a)]. 14931 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(62,a,14536,a(flip),b,14930,a),flip(a)]. 14932 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(62,a,14871,a(flip),b,14931,a),flip(a)]. 14933 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(11935(a,1),14932(a,1,2,1))]. 14934 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(62,a,14538,a(flip),b,14933,a)]. 14935 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(5110(a,2),14934(a,1,2,1,2))]. 14936 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(13353(a,1),14935(a,1,2,1)),flip(a)]. 14937 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(115,a,14936,a(flip),b,5163,a(flip))]. 14938 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(14936(a,1),5108(a,2,2)),flip(a)]. 14939 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5239,a,14937,a),flip(a)]. 14940 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(273,a,11879,a,b,14939,a)]. 14942 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(259(a,1),14939(a,1,2)),flip(a)]. 14943 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(599(a,1),14939(a,1,2)),flip(a)]. 14944 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(14939(a,1),10318(a,1,2))]. 14945 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(273,a,14240,a,b,14940,a)]. 14947 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(62,a,6861,a(flip),b,14945,a),flip(a)]. 14948 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(62,a,5994,a(flip),b,14945,a),flip(a)]. 14949 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(14945(a,1),104(a,1,1))]. 14950 L(K(x,y),z,T(u,K(x,y) * z)) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(14945(a,1),468(a,1,1))]. 14952 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(5202,a,14938,a),flip(a)]. 14954 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(6258,a,14948,a),flip(a)]. 14955 ((x \ 1) \ K(L(y,z,u) \ 1,x)) \ ((x \ 1) \ 1) = K(x,R(y,z,u) \ 1). [para(14954(a,1),8273(a,1,1,2))]. 14956 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(14942(a,1),11897(a,2,2))]. 14957 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(62,a,7480,a(flip),b,14947,a)]. 14958 K(x,1 / L(y,z,u)) * (z * u) = (K(x,1 / y) * z) * u. [para(6169(a,1),14949(a,1,1))]. 14959 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(463(a,1),14943(a,1,2)),flip(a)]. 14960 K(x,L(T(y,K(z,u)) \ (w / K(z,u)),T(y,K(z,u)),K(z,u))) = K(x,T(w / (K(z,u) * y),T(y,K(z,u)))). [para(8511(a,1),14943(a,2,2,1,2))]. 14961 K(x,1 / L(y,z,u)) * (z * T(u,z)) = (K(x,1 / y) * z) * T(u,z). [para(11083(a,1),14958(a,1,1,2,2))]. 14962 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(14703(a,1),14956(a,1,2))]. 14963 K(x,K(y,L(z,u,w))) * (u * T(w,u)) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(11890(a,1),14961(a,1,1))]. 14964 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(8330,a,14955,a),flip(a)]. 14965 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(696(a,1),14964(a,1,2,1)),flip(a)]. 14966 K(x,K(y,L(z,u,w))) * (w * u) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(108(a,1),14963(a,1,2))]. 14967 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(273,a,7468,a,b,14965,a),flip(a)]. 14968 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(273,a,10324,a(flip),b,14967,a),flip(a)]. 14969 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6625,a,14968,a),flip(a)]. 14970 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(6204(a,1),14969(a,2,2,1))]. 14971 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(11110(a,1),14950(a,1,1))]. 14972 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6290,a,14971,a)]. 14974 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(62,a,11928,a,b,14972,a)]. 14975 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(13941(a,1),14974(a,1,1))]. 14976 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(8502(a,1),14975(a,1,1,2))]. 14977 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(115,a,14390,a,b,14976,a(flip))]. 14978 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8690(a,2),14977(a,1,2,2))]. 14979 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(9475(a,2),14978(a,1,2))]. 14980 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(8822(a,2),14979(a,1,2,2,2))]. 14981 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7464(a,2),14980(a,1,2,2))]. 14982 K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(K(z,u) * T(w,K(z,u))) \ T(y,K(z,u))). [para(8743(a,1),14960(a,1,2)),flip(a)]. 14983 K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [para(108(a,1),14982(a,2,2,1))]. 14984 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(12(a,1),14970(a,1,2,1,2))]. 14985 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(6789(a,2),14981(a,1,2))]. 14986 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(8502(a,1),14985(a,1,2,1,2))]. 14987 x \ T(y * T(x,K(z,u)),K(z,z \ u)) = T(y,K(z \ u,z) * x). [para(8706(a,1),14985(a,1,2,1,2))]. 14988 x \ T(y * T(x,K(z,u)),K(z,1 / u)) = T(y,K(1 / u,z) * x). [para(8798(a,1),14985(a,1,2,1,2))]. 14989 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(8502(a,1),14986(a,1,2))]. 14990 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(62,a,14985,a(flip),b,14989,a)]. 14991 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(115,a,14990,a,b,5163,a(flip))]. 14992 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(5178(a,1),14990(a,1,2)),flip(a)]. 14993 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(5239,a,14991,a)]. 14994 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5518(a,1),14993(a,1,2)),flip(a)]. 14995 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7588(a,1),14993(a,1,2)),flip(a)]. 14996 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5334(a,1),14992(a,1,2))]. 14997 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5490(a,2),14994(a,1,2))]. 14998 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(199(a,1),14996(a,1,2,1)),flip(a)]. 14999 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(13388,a,14998,a),flip(a)]. 15000 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4356(a,1),14997(a,1,2,1))]. 15001 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(13379,a,14999,a),flip(a)]. 15003 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(198(a,1),15001(a,1,2,2,1)),flip(a)]. 15004 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(15003(a,1),5108(a,2,2))]. 15005 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(273,a,5108,a,b,15004,a),flip(a)]. 15006 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1186(a,1),15005(a,2,1))]. 15007 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). [para(8706(a,1),14987(a,1,2))]. 15008 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [hyper(62,a,14985,a(flip),b,15007,a),flip(a)]. 15009 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(115,a,15008,a(flip),b,5163,a(flip)),flip(a)]. 15010 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(9(a,1),15008(a,1,2,1,1)),flip(a)]. 15011 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(62,a,14990,a,b,15010,a)]. 15012 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(13387,a,15011,a),flip(a)]. 15013 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [hyper(273,a,5111,a,b,15009,a),flip(a)]. 15014 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(15009(a,2),5239(a,1))]. 15015 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [hyper(62,a,14993,a,b,15013,a)]. 15016 K(x,T(y,y \ z) \ u) = K(x,K(z,y) * (y \ u)). [para(5518(a,1),15013(a,1,2))]. 15017 K(x,K(y,z) * T(u,K(z,z \ y))) = K(x,u * K(z,z \ y)). [para(108(a,1),15015(a,1,2)),flip(a)]. 15018 K(x,K((y \ 1) \ z,y) * u) = K(x,K(y,z) * u). [para(4484(a,1),15015(a,1,2,1)),flip(a)]. 15019 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(5518(a,1),15016(a,2,2))]. 15020 K(x,T(y,y * z) \ u) = K(x,T(y,z) \ u). [para(9(a,1),15019(a,1,2,1,2)),flip(a)]. 15021 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(109(a,1),15019(a,1,2,1))]. 15022 K(x,T(y * K(z,y),z * y) \ u) = K(x,T(y * K(z,y),z) \ u). [para(5210(a,1),15019(a,1,2,1,2)),flip(a)]. 15023 L(K(x,T(y,z) \ (z \ u)),z \ u,z) = K(x,(L(y,z,y) * z) \ u). [para(15020(a,1),7168(a,1,1))]. 15024 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(y,(y \ 1) \ z)) \ w). [para(15018(a,1),7167(a,1,1))]. 15025 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(13386,a,15012,a),flip(a)]. 15026 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,z \ y)). [para(8706(a,1),15017(a,1,2,2))]. 15027 K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). [para(8508(a,1),15026(a,1,2)),flip(a)]. 15028 K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u \ 1,z * u)). [para(7807(a,1),15027(a,1,2,2)),flip(a)]. 15029 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(1 / u,z) * x). [para(8798(a,1),14988(a,1,2))]. 15030 T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). [hyper(62,a,14985,a(flip),b,15029,a),flip(a)]. 15031 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(74(a,1),15030(a,1,2,1,1)),flip(a)]. 15032 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(115,a,15031,a(flip),b,5163,a(flip)),flip(a)]. 15033 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(8508(a,1),15031(a,1,2)),flip(a)]. 15034 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(273,a,5111,a,b,15032,a),flip(a)]. 15036 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(62,a,14993,a,b,15034,a)]. 15037 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5475(a,1),15034(a,1,2)),flip(a)]. 15038 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(15034(a,1),8897(a,1,1))]. 15039 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6569(a,1),15036(a,1,2,1)),flip(a)]. 15040 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(15036(a,1),7181(a,1,1))]. 15041 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(8799(a,1),15036(a,1,2)),flip(a)]. 15042 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(15014,a,15039,a),flip(a)]. 15044 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(62,a,14994,a(flip),b,15042,a)]. 15045 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7588(a,1),15042(a,1,2))]. 15046 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5518(a,1),15044(a,2,2))]. 15047 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(5210(a,1),15037(a,1,2,2)),flip(a)]. 15048 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(8508(a,1),15041(a,1,2)),flip(a)]. 15049 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(15048(a,1),5370(a,1,2)),flip(a)]. 15050 K(x,y * K(z,(L(u \ 1,w,v5) \ 1) \ 1)) = K(x,y * L(K(u,z),w,v5)). [para(6264(a,1),15048(a,2,2,2))]. 15051 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(273,a,5370,a(flip),b,15049,a),flip(a)]. 15052 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(62,a,13339,a,b,15051,a)]. 15053 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8796(a,1),15033(a,1,2,2))]. 15054 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(108(a,1),15053(a,1,2)),flip(a)]. 15055 K(x,T(y * K(z,y),z) \ u) = K(x,L(y,z,y) \ u). [para(5332(a,1),15022(a,1,2,1)),flip(a)]. 15056 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(5134(a,1),15055(a,1,2,1)),flip(a)]. 15059 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(4704(a,1),15056(a,1,2,1)),flip(a)]. 15060 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(15059(a,1),7169(a,1,1))]. 15061 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [hyper(9780,a,15060,a),flip(a)]. 15063 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(10(a,1),15061(a,1,2,1,1)),flip(a)]. 15064 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(62,a,14969,a,b,15063,a)]. 15065 K(x,(L(y,z,y) * z) \ u) = K(x,(z * T(y,z)) \ u). [hyper(9780,a,15023,a),flip(a)]. 15066 K(x,(L(y,z,y) * z) \ u) = K(x,(y * z) \ u). [para(108(a,1),15065(a,2,2,1))]. 15067 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(62,a,15000,a(flip),b,15066,a)]. 15068 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(273,a,14995,a(flip),b,15045,a),flip(a)]. 15069 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10235(a,1),15068(a,1,2))]. 15070 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,14984,a(flip),b,15069,a)]. 15071 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(6239(a,1),15069(a,1,2,2,2)),flip(a)]. 15072 K(x,y * K(z,L(u \ 1,w,v5))) = K(x,y * L(K(u,z),w,v5)). [para(3635(a,1),15050(a,1,2,2))]. 15073 K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(u,z)) \ w). [hyper(9781,a,15024,a),flip(a)]. 15074 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9781,a,15038,a),flip(a)]. 15075 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(8873(a,1),15074(a,1,2,1))]. 15076 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9781,a,15040,a),flip(a)]. 15077 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6746(a,1),15076(a,1,2,1))]. 15078 K(x,(y * K((z \ 1) \ 1,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z \ 1)) \ w). [para(4477(a,1),15077(a,2,2,1,2))]. 15079 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8449(a,1),15077(a,2,2))]. 15081 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1918(a,1),15006(a,1,1))]. 15082 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(5153(a,1),15081(a,1,1,2)),flip(a)]. 15083 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(5112(a,1),15082(a,1,1,2))]. 15084 ((x \ 1) \ K(y \ K(z,u \ 1),x)) \ ((x \ 1) \ 1) = K(x,y \ K(u \ 1,z)). [para(15083(a,1),8273(a,1,1,2))]. 15085 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(8330,a,15084,a),flip(a)]. 15086 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(10(a,1),15064(a,1,2,1,2))]. 15087 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,15075,a(flip),b,15070,a)]. 15088 K(x,(y * K(z * u,z \ 1)) \ w) = K(x,(y * K(z,(z \ 1) \ u)) \ w). [para(3109(a,1),15078(a,1,2,1,2)),flip(a)]. 15089 K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z)) \ w). [hyper(62,a,15075,a(flip),b,15088,a),flip(a)]. 15090 K(x,(y * K(z * u,z)) \ w) = K(x,(y * K(u,z)) \ w). [hyper(62,a,15073,a(flip),b,15089,a),flip(a)]. 15091 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(5626(a,2),15090(a,1,2,1,2))]. 15092 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,15087,a(flip),b,15091,a),flip(a)]. 15093 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(5163(a,2),15092(a,1,2,1))]. 15094 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(4209(a,1),15093(a,1,2,1))]. 15095 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(108(a,1),15094(a,1,2,2,1))]. 15096 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(108(a,1),15095(a,1,2,2,2,2))]. 15097 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8779(a,1),15096(a,2,2))]. 15099 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(8579(a,1),15047(a,2,2,1))]. 15100 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(8548(a,1),15099(a,2,2))]. 15101 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(5210(a,1),15100(a,1,2,2,1,2))]. 15102 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5473(a,1),15101(a,1,2))]. 15103 K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u,z * u)). [hyper(62,a,15028,a,b,15102,a)]. 15104 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(15102(a,1),5370(a,1,2)),flip(a)]. 15105 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(273,a,5370,a(flip),b,15104,a),flip(a)]. 15106 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(62,a,13350,a(flip),b,15105,a),flip(a)]. 15107 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(62,a,15052,a,b,15106,a)]. 15108 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(13425,a,15107,a)]. 15109 K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u,u * z)). [para(6724(a,1),15103(a,2,2,2))]. 15110 K(x,y * L(K(z,u),z,u)) = K(x,y * K(z,z * u)). [hyper(62,a,15072,a(flip),b,15109,a)]. 15111 K(x,y * K(z,z * u)) = K(x,y * K(z,u)). [para(6548(a,1),15110(a,1,2,2)),flip(a)]. 15113 K(x,(y * K(z * u,z)) * K(z,u)) = K(x,y). [para(8218(a,1),15111(a,1,2)),flip(a)]. 15115 K(x,y * (K(z * u,z) * K(z,u))) = K(x,y). [para(9392(a,1),15113(a,1,2))]. 15116 K(x,y * (z \ R(z,u,z))) = K(x,y). [para(5809(a,1),15115(a,1,2,2))]. 15117 K(x,y / (z \ R(z,u,z))) = K(x,y). [para(12(a,1),15116(a,1,2)),flip(a)]. 15118 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(12795(a,1),15117(a,1,2))]. 15119 L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). [para(15118(a,1),7131(a,1,1))]. 15120 K(x,a(y,z,y) \ u) = K(x,u). [para(12030(a,1),15118(a,1,2,1))]. 15121 T(x,a(y,z,y) \ u) = x * K(x,u). [para(15120(a,1),5163(a,2,2))]. 15122 T(x,a(y,z,y) \ u) = T(x,u). [hyper(273,a,5163,a,b,15121,a),flip(a)]. 15123 T(x,y * L(z,u,z)) = T(x,y * z). [para(12808(a,1),15122(a,1,2))]. 15124 T(x,y / R(z,u,z)) = T(x,y / z). [para(14454(a,1),15122(a,1,2))]. 15125 T(x,(y * z) * y) = T(x,y * (z * y)). [para(94(a,1),15123(a,1,2)),flip(a)]. 15126 T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). [para(7929(a,1),15124(a,1,2,2))]. 15127 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5812(a,1),15125(a,1,2)),flip(a)]. 15128 T(x,y / T(z,y)) = T(x,z \ y). [para(74(a,1),15126(a,1,2)),flip(a)]. 15131 T(x,T(y,z) / z) = T(x,z \ y). [para(4222(a,2),15128(a,1,2))]. 15132 K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). [hyper(11368,a,15119,a),flip(a)]. 15134 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12810(a,1),15132(a,1,2,1))]. 15135 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(7171,a,15134,a)]. 15136 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(13528,a,15135,a),flip(a)]. 15138 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(12056(a,1),15136(a,1,2,2))]. 15141 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(273,a,13418,a(flip),b,15108,a)]. 15142 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4921(a,1),15141(a,1,1))]. 15143 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8951,a,15142,a),flip(a)]. 15144 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(62,a,10335,a,b,15143,a)]. 15145 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(62,a,14025,a(flip),b,15144,a),flip(a)]. 15146 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(62,a,14026,a(flip),b,15145,a),flip(a)]. 15147 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(5175(a,1),15146(a,1,1,2)),flip(a)]. 15148 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(15147(a,1),5370(a,1,2)),flip(a)]. 15149 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(273,a,5370,a(flip),b,15148,a),flip(a)]. 15150 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(4252(a,1),15149(a,1,2,2,1))]. 15151 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(5134(a,1),15149(a,1,2,2,1)),flip(a)]. 15152 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(7159,a,15151,a)]. 15153 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(3107(a,1),15152(a,1,2,2))]. 15154 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(62,a,15138,a(flip),b,15150,a)]. 15155 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(4220(a,1),15154(a,1,2,2)),flip(a)]. 15156 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(62,a,15097,a(flip),b,15155,a),flip(a)]. 15157 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6113(a,1),15156(a,1,2,2,2))]. 15158 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(5072(a,1),15127(a,1,2,2))]. 15159 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(10671(a,1),15071(a,2,2))]. 15160 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8783(a,1),15159(a,1,2))]. 15161 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9729(a,1),15160(a,1,2)),flip(a)]. 15162 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(273,a,8902,a(flip),b,15161,a),flip(a)]. 15164 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(62,a,15086,a(flip),b,15162,a)]. 15165 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(4250(a,1),15164(a,1,2,2,1))]. 15166 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7859(a,1),15079(a,1,2,2,2))]. 15168 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8443(a,2),15166(a,1,2,2))]. 15169 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8769(a,1),15168(a,1,2)),flip(a)]. 15170 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(273,a,6584,a(flip),b,15169,a),flip(a)]. 15171 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(62,a,15066,a(flip),b,15170,a)]. 15172 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6628,a,15171,a),flip(a)]. 15175 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(62,a,15085,a,b,15172,a)]. 15176 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(62,a,15153,a(flip),b,15175,a),flip(a)]. 15177 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(62,a,15152,a(flip),b,15176,a),flip(a)]. 15178 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(74(a,1),15177(a,1,2,2,2)),flip(a)]. 15179 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(7706(a,1),15178(a,1,2,2))]. 15180 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(9962(a,1),15165(a,1,2,1))]. 15181 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(4250(a,1),15180(a,1,2,2,2,2))]. 15183 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(62,a,15046,a(flip),b,15181,a)]. 15184 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(15131(a,1),15183(a,2,2))]. 15185 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(62,a,15155,a(flip),b,15184,a)]. 15186 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(109(a,1),15157(a,1,2,1))]. 15187 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15054(a,1),15186(a,1,2,2))]. 15188 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6724(a,1),15187(a,1,2,2,2,2))]. 15189 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15025(a,1),15188(a,1,2,2))]. 15190 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5163(a,2),15189(a,1,2,2,2))]. 15191 K(x,T(y / (z * u),(z * u) \ u)) = K(x,T(z * u,u) \ T(y,T(u,z))). [hyper(62,a,15021,a(flip),b,15190,a),flip(a)]. 15192 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(273,a,15067,a(flip),b,15191,a),flip(a)]. 15193 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(7705(a,1),15192(a,1,2))]. 15194 K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). [hyper(8935,a,15193,a)]. 15195 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(5474(a,1),15194(a,2,2,1))]. 15196 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(8781(a,1),15195(a,2,2,2))]. 15197 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(9073(a,1),15196(a,2,2,2))]. 15198 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(273,a,15179,a(flip),b,15197,a),flip(a)]. 15199 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(273,a,15077,a(flip),b,15198,a),flip(a)]. 15200 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(273,a,15091,a(flip),b,15199,a),flip(a)]. 15201 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(5163(a,2),15200(a,2,2,1))]. 15202 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(273,a,15185,a(flip),b,15201,a),flip(a)]. 15203 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(10(a,1),15202(a,1,2,1,2))]. 15204 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(9855(a,1),15203(a,1,2))]. 15205 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(13368(a,1),15204(a,1,2)),flip(a)]. 15206 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(11(a,1),15205(a,1,2,1)),flip(a)]. 15207 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(77(a,1),15205(a,1,2,2)),flip(a)]. 15208 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(11(a,1),15206(a,1,2,1)),flip(a)]. 15209 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [hyper(8935,a,15208,a),flip(a)]. 15216 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(15158(a,1),15207(a,1,2))]. 15217 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(62,a,15209,a(flip),b,15216,a)]. 15218 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(15217(a,1),12319(a,1,1))]. 15219 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(62,a,11313,a(flip),b,15218,a)]. 15222 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(273,a,8443,a,b,15219,a),flip(a)]. 15223 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(273,a,8440,a,b,15219,a),flip(a)]. 15226 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(15219(a,2),9428(a,1))]. 15230 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(62,a,8694,a(flip),b,15222,a)]. 15231 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(110(a,1),15222(a,1,2,2)),flip(a)]. 15234 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(15222(a,1),7570(a,1,2)),flip(a)]. 15237 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(8635(a,1),15222(a,1,2))]. 15239 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(13360(a,1),15222(a,1,2))]. 15243 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7469(a,1),15223(a,1,2))]. 15244 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(13364(a,2),15223(a,1,2))]. 15298 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(9462,a,15231,a)]. 15299 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(273,a,11914,a,b,15231,a)]. 15300 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(273,a,9337,a,b,15231,a)]. 15302 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(14628(a,2),15231(a,2,2)),flip(a)]. 15303 T(x,K(y,K(z,u))) = x. [hyper(8513,a,15234,a)]. 15304 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. [hyper(8485,a,15234,a),flip(a)]. 15305 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(273,a,11907,a(flip),b,15234,a),flip(a)]. 15306 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(273,a,8430,a(flip),b,15234,a),flip(a)]. 15309 T(x,T(y,K(z,u))) = T(x,y). [hyper(33,a,10090,a(flip),b,15234,a),flip(a)]. 15312 K(x,K(y,K(z,u))) = 1. [hyper(54,a,15303,a)]. 15313 K(K(x,y),K(z,u)) = 1. [hyper(9442,a,15312,a)]. 15314 T(K(x,y),K(z,u)) = K(x,y). [hyper(55,a,15313,a)]. 15317 T(K(x,y) * z,T(u,z)) = T(K(x,y) * z,u). [hyper(10043,a,15309,a)]. 15329 K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [para(15309(a,1),14983(a,1,2))]. 15330 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(13589,a,15314,a),flip(a)]. 15332 K(T(x,K(y,z)),u) = K(x,u). [hyper(7600,a,15314,a)]. 15360 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(15332(a,1),9407(a,1))]. 15367 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(10010(a,1),15360(a,1,2))]. 15371 K(x,K(y,z * u)) = K(y,K(x,u * z)). [hyper(9429,a,15239,a)]. 15374 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(15239(a,1),9429(a,1))]. 15375 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(15243(a,2),9423(a,1))]. 15376 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(62,a,11851,a(flip),b,15244,a)]. 15377 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(18(a,2),15298(a,2,2,2))]. 15378 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(15298(a,1),9462(a,1))]. 15381 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(273,a,14959,a,b,15330,a)]. 15382 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(15371(a,1),9429(a,1))]. 15383 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7501(a,2),15226(a,1,2))]. 15384 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(13332(a,1),15226(a,1,2))]. 15385 K(x,T(y,T(z,u))) = K(x,T(y,z)). [hyper(15367,a,9077,a),flip(a)]. 15393 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(13368(a,1),15367(a,1,2))]. 15403 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(110(a,1),15385(a,1,2,2)),flip(a)]. 15416 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(273,a,14957,a,b,15403,a)]. 15431 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(14628(a,2),15378(a,1,2))]. 15432 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(104(a,1),15382(a,1,2,2))]. 15435 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(14692(a,2),15393(a,1,2))]. 15437 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [para(7460(a,2),15306(a,2,2))]. 15438 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(15437(a,2),42(a,1))]. 15441 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(15239(a,1),15431(a,1))]. 15442 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(273,a,5729,a(flip),b,15381,a),flip(a)]. 15443 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8959,a,15442,a)]. 15446 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(273,a,15231,a,b,15237,a),flip(a)]. 15447 (K(x,1 / K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [hyper(62,a,14966,a(flip),b,15305,a)]. 15450 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(11(a,1),15446(a,1,2,2,1)),flip(a)]. 15451 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(9022(a,2),15446(a,1,2))]. 15452 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(6278(a,1),15230(a,2,2))]. 15453 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(273,a,9212,a(flip),b,15452,a),flip(a)]. 15456 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(15453(a,2),11891(a,1))]. 15457 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(z,y))). [para(5370(a,1),15447(a,1,1,1,2))]. 15458 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [para(8458(a,1),15457(a,1,1,1))]. 15459 T(K(x,K(y,z)) * u,T(w,u)) = T(u,w) * K(x,K(y,z)). [hyper(212,a,15458,a,b,4642,a)]. 15461 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [hyper(62,a,15317,a(flip),b,15459,a)]. 15463 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(15234(a,1),15461(a,1,1))]. 15464 (x * (T(y,z) * K(u,K(w,v5)))) \ (x * (y * K(u,K(w,v5)))) = K(z,y * K(u,K(w,v5))). [para(15463(a,1),8254(a,1,1,2))]. 15466 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(273,a,9330,a(flip),b,15300,a),flip(a)]. 15467 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(15375,a,15466,a)]. 15468 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(22(a,2),15467(a,1,2,1,1))]. 15472 K(x,(y * K(z,u)) \ T(w * (K(z,u) * y),K(z,u))) = K(x,T(w,y)). [para(11(a,1),15329(a,1,2,1)),flip(a)]. 15473 K(x,((K(y,z) \ u) * K(y,z)) \ T(w * u,K(y,z))) = K(x,T(w,K(y,z) \ u)). [para(10(a,1),15472(a,1,2,2,1,2))]. 15475 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7484(a,1),15451(a,1,2))]. 15477 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(15475(a,1),15456(a,1))]. 15479 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). [hyper(62,a,15063,a(flip),b,15473,a)]. 15480 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(5388(a,1),15479(a,2,2,2))]. 15481 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6525(a,1),15416(a,1,2,2))]. 15482 K(x,T(L(y,K(z,K(u,w)),v5),K(z,K(u,w)))) = K(x,y * K(z,K(u,w))). [hyper(62,a,9688,a(flip),b,15464,a)]. 15483 K(x,L(y,K(z,K(u,w)),v5)) = K(x,y * K(z,K(u,w))). [hyper(15360,a,15482,a)]. 15484 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(13587,a,15483,a),flip(a)]. 15486 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(1666(a,1),15484(a,1,2))]. 15487 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [para(15304(a,1),15484(a,1,2))]. 15488 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(62,a,15480,a(flip),b,15487,a),flip(a)]. 15490 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(9452,a,15488,a)]. 15492 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(62,a,15486,a(flip),b,15490,a),flip(a)]. 15495 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(273,a,8560,a(flip),b,15492,a),flip(a)]. 15497 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(15393,a,15495,a)]. 15503 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). [para(6362(a,1),15495(a,1,2,2)),flip(a)]. 15511 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(6601(a,1),15497(a,1,2,2))]. 15512 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(15497(a,1),8548(a,1,1))]. 15518 K(x,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)). [hyper(273,a,8676,a,b,15503,a),flip(a)]. 15520 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(62,a,8676,a,b,15511,a)]. 15523 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3639(a,1),15512(a,1,1))]. 15524 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [hyper(8739,a,15518,a)]. 15525 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(15431,a,15524,a)]. 15527 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(5374(a,1),15524(a,1,2,2)),flip(a)]. 15529 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5333(a,2),15524(a,1,2,2))]. 15530 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(10441(a,1),15524(a,1,2,2))]. 15533 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(6421(a,1),15527(a,1,2,2)),flip(a)]. 15534 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(6600(a,2),15527(a,1,2,2))]. 15535 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(6601(a,1),15527(a,1,2,2))]. 15536 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6602(a,2),15527(a,1,2,2))]. 15537 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(9756(a,1),15527(a,1,2,2)),flip(a)]. 15538 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10814(a,1),15527(a,1,2,2))]. 15539 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(15535(a,2),9051(a,1,1))]. 15542 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1666(a,1),15537(a,1,2,2,1))]. 15543 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5884(a,1),15537(a,1,2,2,1))]. 15544 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6670(a,1),15537(a,1,2,2,1))]. 15545 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(15537(a,2),15382(a,1))]. 15546 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(9462,a,15538,a)]. 15549 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(273,a,8761,a,b,15546,a)]. 15550 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(15546(a,1),9462(a,1))]. 15551 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(15546(a,2),9462(a,1))]. 15552 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(273,a,15450,a(flip),b,15549,a),flip(a)]. 15553 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(850(a,1),15549(a,1,2,2)),flip(a)]. 15554 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(15549(a,1),9462(a,1))]. 15555 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(273,a,15302,a(flip),b,15525,a),flip(a)]. 15556 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(9462,a,15555,a)]. 15558 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5891(a,1),15555(a,1,2,2,1))]. 15559 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6846(a,1),15556(a,1,2,2,2))]. 15560 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(8590(a,1),15556(a,1,2,2,2)),flip(a)]. 15561 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [para(11(a,1),15560(a,1,2,2)),flip(a)]. 15562 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(15560(a,1),15437(a,1,1))]. 15563 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(273,a,8458,a,b,15561,a),flip(a)]. 15564 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(9439,a,15563,a),flip(a)]. 15565 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(9423,a,15563,a)]. 15566 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(62,a,15299,a,b,15563,a)]. 15567 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(15563(a,1),9439(a,1))]. 15568 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(12430(a,1),15563(a,1,2))]. 15570 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(9449,a,15564,a)]. 15571 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1666(a,1),15564(a,1,2,1))]. 15574 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(273,a,15564,a,b,15565,a),flip(a)]. 15575 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(62,a,15468,a(flip),b,15571,a),flip(a)]. 15577 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(62,a,11897,a(flip),b,15574,a),flip(a)]. 15578 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(217(a,1),15542(a,1,2,2,1,1)),flip(a)]. 15579 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(15382,a,15543,a)]. 15580 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(62,a,15546,a(flip),b,15558,a)]. 15581 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(273,a,9057,a,b,15568,a),flip(a)]. 15582 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7476(a,1),15570(a,1,2,2,1))]. 15583 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(110(a,1),15580(a,1,2,2,2,1)),flip(a)]. 15584 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(6411(a,1),15545(a,1,2,2))]. 15585 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(8230(a,1),15545(a,1,2,2,1))]. 15586 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(15239(a,1),15545(a,1))]. 15588 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(62,a,14827,a(flip),b,15575,a)]. 15589 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(8512(a,1),15575(a,1,2,1))]. 15590 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(86(a,1),15586(a,1,2,2,2))]. 15591 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(10077(a,1),15586(a,1,2,2,2))]. 15592 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(62,a,14729,a(flip),b,15523,a),flip(a)]. 15593 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(772(a,1),15544(a,1,2,2,1,1)),flip(a)]. 15594 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(273,a,8761,a,b,15559,a),flip(a)]. 15596 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(15382,a,15578,a)]. 15597 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(15550,a,15594,a)]. 15598 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(74(a,1),15596(a,1,2,2,2,1,2)),flip(a)]. 15599 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(15596(a,1),15382(a,1))]. 15600 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). [hyper(273,a,15538,a,b,15597,a),flip(a)]. 15601 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ w)))). [para(5094(a,1),15600(a,1,2,2,2,2)),flip(a)]. 15602 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(15375,a,15566,a)]. 15604 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(62,a,14944,a(flip),b,15602,a),flip(a)]. 15605 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(9423,a,15604,a)]. 15606 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(62,a,15376,a(flip),b,15605,a),flip(a)]. 15607 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(77(a,1),15606(a,1,2,2,1,2))]. 15608 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(62,a,12668,a(flip),b,15607,a),flip(a)]. 15609 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(62,a,15536,a(flip),b,15608,a),flip(a)]. 15610 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(9429,a,15609,a)]. 15611 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(273,a,8440,a,b,15610,a),flip(a)]. 15612 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(15438,a,15562,a),flip(a)]. 15613 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [para(11(a,1),15612(a,1,2,2)),flip(a)]. 15614 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(8230(a,1),15612(a,1,2,2,1))]. 15615 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(15613(a,1),8548(a,1,1))]. 15616 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8933,a,15614,a)]. 15617 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(62,a,14689,a(flip),b,15615,a)]. 15618 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(62,a,14715,a,b,15617,a)]. 15619 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(273,a,11899,a(flip),b,15616,a),flip(a)]. 15620 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(110(a,1),15616(a,1,2,2,2,2)),flip(a)]. 15621 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(15616(a,1),5347(a,1,1)),flip(a)]. 15622 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(62,a,15592,a(flip),b,15618,a)]. 15623 K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). [para(15622(a,2),10489(a,2,2))]. 15624 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(273,a,15581,a(flip),b,15577,a),flip(a)]. 15626 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(273,a,10986,a(flip),b,15624,a),flip(a)]. 15627 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(15567,a,15626,a)]. 15629 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6902(a,1),15481(a,1,2)),flip(a)]. 15630 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(273,a,9,a(flip),b,15629,a),flip(a)]. 15631 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5851,a,15630,a),flip(a)]. 15633 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(15630(a,1),5851(a,1))]. 15634 K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). [para(14362(a,1),15631(a,1,1,1,2,1,2))]. 15635 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [hyper(273,a,14636,a,b,15553,a),flip(a)]. 15636 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(15243(a,1),15635(a,2,3))]. 15637 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,15533,a(flip),b,15636,a)]. 15639 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(9(a,1),15593(a,1,2,2,1,1)),flip(a)]. 15640 K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [hyper(15432,a,15639,a)]. 15642 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(29(a,1),15640(a,1,2,2,2))]. 15643 K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). [para(11881(a,1),15623(a,1,1))]. 15644 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(14380(a,1),15634(a,1,1,1))]. 15645 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(15633,a,15644,a),flip(a)]. 15646 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(273,a,15511,a,b,15645,a),flip(a)]. 15647 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(62,a,15620,a,b,15646,a)]. 15648 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(15435,a,15647,a),flip(a)]. 15649 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(15648(a,1),15621(a,2,1))]. 15650 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(273,a,5347,a(flip),b,15649,a),flip(a)]. 15651 T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). [para(15650(a,1),6968(a,1,1))]. 15652 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(62,a,6968,a(flip),b,15651,a),flip(a)]. 15653 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). [para(15652(a,1),14885(a,1,1,1)),flip(a)]. 15654 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(273,a,14885,a(flip),b,15653,a),flip(a)]. 15655 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(273,a,7501,a(flip),b,15654,a),flip(a)]. 15656 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7655,a,15655,a)]. 15657 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(62,a,15616,a(flip),b,15656,a)]. 15658 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(62,a,15619,a(flip),b,15657,a),flip(a)]. 15659 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(62,a,11899,a(flip),b,15658,a)]. 15660 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(107(a,1),15659(a,1,2,2,1,1)),flip(a)]. 15663 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(62,a,15511,a(flip),b,15660,a)]. 15664 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(273,a,8676,a,b,15663,a)]. 15665 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(33,a,15520,a,b,15664,a)]. 15666 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(9462,a,15665,a)]. 15667 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(62,a,15536,a(flip),b,15665,a),flip(a)]. 15668 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(62,a,15534,a(flip),b,15665,a),flip(a)]. 15669 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(15665(a,1),15539(a,1,1))]. 15670 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(15382,a,15668,a)]. 15671 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(10(a,1),15670(a,1,2,2,2,2)),flip(a)]. 15672 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(9528,a,15669,a),flip(a)]. 15673 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(62,a,15588,a(flip),b,15672,a),flip(a)]. 15674 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(77(a,1),15672(a,1,2,1,2)),flip(a)]. 15675 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(15384,a,15674,a)]. 15676 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(10(a,1),15673(a,2,2,2,2))]. 15677 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(273,a,15549,a,b,15676,a),flip(a)]. 15678 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(15676(a,2),15551(a,1))]. 15679 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(62,a,15675,a(flip),b,15677,a)]. 15680 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(14701(a,1),15677(a,1,2))]. 15681 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(15677(a,2),15551(a,1))]. 15683 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(62,a,15680,a(flip),b,15679,a),flip(a)]. 15684 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3962(a,2),15679(a,2,2,2,1))]. 15685 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(14703(a,1),15684(a,1,2))]. 15686 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(15678,a,15685,a),flip(a)]. 15688 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,15666,a(flip),b,15686,a)]. 15689 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(15585,a,15688,a)]. 15690 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,15598,a,b,15689,a)]. 15692 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(62,a,15596,a(flip),b,15689,a),flip(a)]. 15693 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(15599,a,15690,a)]. 15694 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(15554,a,15692,a)]. 15695 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(62,a,15683,a,b,15692,a)]. 15696 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,15377,a(flip),b,15692,a),flip(a)]. 15697 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,14962,a,b,15694,a)]. 15698 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(11337(a,1),15694(a,1,2))]. 15699 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(14851(a,1),15694(a,1,2,2,2,1)),flip(a)]. 15700 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(15554,a,15695,a)]. 15701 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,14828,a(flip),b,15697,a)]. 15702 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(15443(a,1),15698(a,1,2)),flip(a)]. 15703 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(273,a,15700,a(flip),b,15699,a),flip(a)]. 15705 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(62,a,15693,a(flip),b,15703,a)]. 15706 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(15551,a,15705,a)]. 15708 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(62,a,15583,a(flip),b,15705,a)]. 15709 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(9462,a,15708,a)]. 15710 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(108(a,1),15708(a,1,2,2,2)),flip(a)]. 15711 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,15637,a(flip),b,15709,a),flip(a)]. 15712 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(15374,a,15711,a)]. 15713 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(273,a,14760,a,b,15711,a),flip(a)]. 15714 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(15711(a,1),9429(a,1))]. 15715 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(12(a,1),15712(a,1,2,2,2,2))]. 15716 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(15585,a,15710,a),flip(a)]. 15718 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(62,a,15601,a,b,15716,a)]. 15720 K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(15718(a,1),15477(a,1))]. 15721 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(12(a,1),15713(a,2,2))]. 15722 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(273,a,8759,a(flip),b,15702,a),flip(a)]. 15723 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(62,a,15670,a(flip),b,15722,a),flip(a)]. 15725 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(273,a,15666,a(flip),b,15723,a),flip(a)]. 15726 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(15590,a,15725,a)]. 15727 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(228(a,1),15725(a,1,2,2,2))]. 15728 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(273,a,15529,a(flip),b,15727,a),flip(a)]. 15730 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(62,a,15642,a(flip),b,15728,a),flip(a)]. 15732 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(104(a,1),15730(a,1,2,2)),flip(a)]. 15733 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(62,a,15530,a,b,15732,a)]. 15734 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(15584,a,15733,a),flip(a)]. 15735 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(15441,a,15733,a)]. 15736 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(15584,a,15734,a),flip(a)]. 15737 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(15591,a,15736,a),flip(a)]. 15738 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(15590,a,15736,a)]. 15739 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,15696,a(flip),b,15736,a),flip(a)]. 15740 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(62,a,15726,a(flip),b,15739,a)]. 15741 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(273,a,15579,a(flip),b,15737,a),flip(a)]. 15742 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(273,a,12662,a(flip),b,15735,a),flip(a)]. 15743 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(273,a,15706,a(flip),b,15742,a),flip(a)]. 15744 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(9462,a,15743,a)]. 15745 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(14590(a,1),15744(a,1,2)),flip(a)]. 15746 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6424(a,1),15741(a,1,2,2,2))]. 15747 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(15586,a,15746,a)]. 15748 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(62,a,15747,a(flip),b,15740,a)]. 15749 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(15720,a,15748,a),flip(a)]. 15750 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(62,a,14770,a(flip),b,15749,a)]. 15751 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(273,a,14719,a,b,15745,a),flip(a)]. 15752 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(15383,a,15589,a),flip(a)]. 15753 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(L(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [para(14952(a,1),15752(a,2,2))]. 15755 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [para(12430(a,1),15753(a,2,2))]. 15756 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(273,a,15627,a(flip),b,15755,a),flip(a)]. 15758 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(62,a,15600,a(flip),b,15756,a)]. 15760 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(62,a,15552,a(flip),b,15758,a)]. 15761 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(62,a,15582,a(flip),b,15760,a),flip(a)]. 15762 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(12444,a,15761,a)]. 15764 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(14659(a,1),15761(a,1,2,2,2))]. 15765 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [hyper(273,a,14720,a,b,15762,a),flip(a)]. 15766 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(273,a,15750,a(flip),b,15764,a),flip(a)]. 15767 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). [para(15766(a,1),15643(a,1,1)),flip(a)]. 15768 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(14721,a,15765,a)]. 15769 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(5092(a,1),15768(a,1,2)),flip(a)]. 15770 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(5094(a,1),15768(a,1,2)),flip(a)]. 15771 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(62,a,12672,a(flip),b,15769,a),flip(a)]. 15772 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(8443(a,2),15771(a,2,3))]. 15773 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(12668(a,1),15772(a,2,3))]. 15774 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(10(a,1),15773(a,1,3,2,2))]. 15775 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(8443(a,1),15774(a,1,3))]. 15776 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(10(a,1),15775(a,2,3,2,2))]. 15777 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(8443(a,1),15776(a,2,3))]. 15778 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(77(a,1),15777(a,1,2,2))]. 15779 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(8443(a,2),15778(a,1,3))]. 15780 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(8443(a,2),15779(a,2,3))]. 15781 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(62,a,14707,a,b,15780,a)]. 15782 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(8458(a,1),15781(a,2,3))]. 15783 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(8457(a,1),15767(a,2,2))]. 15785 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). [hyper(273,a,12929,a(flip),b,15783,a),flip(a)]. 15786 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10489(a,1),15785(a,2,1))]. 15787 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(273,a,14763,a(flip),b,15786,a),flip(a)]. 15788 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(15622(a,1),15787(a,1,2))]. 15789 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(8457(a,1),15788(a,1,3))]. 15790 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(12464,a,15789,a)]. 15791 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(156(a,1),15790(a,1,2,1))]. 15792 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(62,a,15751,a,b,15791,a)]. 15793 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(62,a,15782,a(flip),b,15791,a)]. 15794 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(273,a,14708,a,b,15793,a),flip(a)]. 15795 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(8443(a,1),15792(a,2,3))]. 15796 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(5825(a,1),15795(a,1,2,2,2,1))]. 15797 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(7064(a,1),15796(a,1,2))]. 15798 K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(14686(a,1),15797(a,1,2))]. 15799 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(6520(a,1),15798(a,1,2,2,1))]. 15800 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [hyper(62,a,15738,a(flip),b,15799,a)]. 15801 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(15545,a,15800,a)]. 15803 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(8263(a,1),15801(a,2,3,2))]. 15804 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(15527(a,1),15803(a,2,3))]. 15805 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(62,a,15715,a(flip),b,15804,a)]. 15807 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(74(a,1),15805(a,1,3,2,1))]. 15808 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(15671(a,1),15807(a,1,3))]. 15809 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(8440(a,1),15808(a,1,3))]. 15810 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(15611(a,1),15809(a,1,3))]. 15811 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(62,a,14758,a(flip),b,15810,a),flip(a)]. 15812 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(8458(a,1),15811(a,1,3))]. 15813 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(62,a,15770,a,b,15812,a)]. 15814 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(62,a,15794,a(flip),b,15813,a),flip(a)]. 15815 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(8440(a,1),15814(a,2,3))]. 15816 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(15714,a,15815,a)]. 15817 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(8443(a,2),15816(a,2,3))]. 15818 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(62,a,15721,a(flip),b,15817,a)]. 15819 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8761(a,1),15818(a,1,3))]. 15820 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(8458(a,1),15819(a,2,3))]. 15821 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(62,a,15815,a(flip),b,15820,a),flip(a)]. 15822 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(15821(a,1),14717(a,1,1))]. 15823 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(8440(a,1),15822(a,1,2))]. 15824 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(14789,a,15823,a),flip(a)]. 15825 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(9529,a,15824,a)]. 15826 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(273,a,15701,a(flip),b,15825,a),flip(a)]. 15827 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(640(a,1),15825(a,1,2,2)),flip(a)]. 15828 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6974(a,1),15825(a,1,2)),flip(a)]. 15829 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(15681,a,15826,a)]. 15831 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(15828(a,2),9445(a,1))]. 15832 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [hyper(273,a,15231,a,b,15827,a),flip(a)]. 15833 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [hyper(273,a,15829,a(flip),b,15832,a),flip(a)]. 15834 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(273,a,15667,a(flip),b,15833,a),flip(a)]. 15837 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(8632(a,1),15834(a,2,2))]. 15839 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(273,a,15222,a(flip),b,15837,a),flip(a)]. 15841 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(62,a,14828,a(flip),b,15839,a)]. 15842 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(15831,a,15841,a),flip(a)]. 15846 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(7126(a,1),15842(a,1,2)),flip(a)]. 15848 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(273,a,8768,a(flip),b,15846,a),flip(a)]. 15851 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(12444,a,15848,a)]. 15862 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(15851(a,1),14949(a,1,1)),flip(a)]. 15866 K(x,K(y,z)) * ((x * u) * w) = (T(x,K(y,z)) * u) * w. [para(5178(a,1),15862(a,1,1)),flip(a)]. 15867 x \ (K(y,z) * ((T(x,K(y,z)) * K(z,y)) * u)) = L(u,K(z,y),x * K(y,z)). [para(15866(a,1),11209(a,1,2,2))]. 15868 x \ (K(y,z) * ((K(z,y) * x) * u)) = L(u,K(z,y),x * K(y,z)). [para(8203(a,1),15867(a,1,2,2,1))]. 15869 (x * K(y,z)) * (K(z,y) * u) = K(y,z) * ((K(z,y) * x) * u). [hyper(37,a,8235,a,b,15868,a)]. 15870 (x * y) \ (K(z,u) * ((K(u,z) * x) * y)) = a(x,K(z,u),K(u,z) * y). [para(15869(a,1),5422(a,1,2))]. 15871 a(x,K(y,z),K(z,y) * u) = a(z,x,K(u,y)). [hyper(62,a,14837,a(flip),b,15870,a),flip(a)]. 15872 a(x,y,K(K(z,x) * u,z)) = a(y,K(z,x),u). [para(5387(a,1),15871(a,1,3)),flip(a)]. 15873 a(x,K(y,z),u) = a(z,x,K(u,y)). [para(7825(a,1),15872(a,1,3)),flip(a)]. 15874 $F # answer("aK2_eq_aK3 (3142)"). [resolve(15873,a,63,a(flip))]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=14093. Generated=373275039. Kept=15859. proofs=1. Usable=14093. Sos=1764. Demods=0. Limbo=0, Disabled=50. Hints=20851. Kept_by_rule=0, Deleted_by_rule=372372012. Forward_subsumed=887168. Back_subsumed=1. Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0. New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0. Demod_attempts=0. Demod_rewrites=0. Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. Nonunit_fsub_feature_tests=187178. Nonunit_bsub_feature_tests=542. Megabytes=65.56. User_CPU=2207.99, System_CPU=105.63, Wall_clock=2314. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 1 proof. ------ process 15279 exit (max_proofs) ------  Process 15279 exit (max_proofs) Sat Jul 31 04:34:56 2021